{"id":1,"expression_no_base_symbol":"((($2575$⊍⩺⋍$4234$)⨕⋳)⊍⩺⋍(⇐(∓⪦$4569$)))∀⇚≩(↩⪖(↘($1671$≄⊠$2278$)))","expression":"(((⪩⨒∯220033⊍⩺⋍⪩⨒∯1002022)⨕⋳)⊍⩺⋍(⇐(∓⪦⪩⨒∯1013121)))∀⇚≩(↩⪖(↘(⪩⨒∯122013≄⊠⪩⨒∯203212)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":769,"operation_count":9,"complexity_ratio":85.44444444444444,"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":2575,"base":4},"right_expr":{"type":"numeric_atoms","value":4234,"base":4}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":4569,"base":4}}}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1671,"base":4},"right_expr":{"type":"numeric_atoms","value":2278,"base":4}}}}},"used_operators":["LRNGc0VcxI","OXDGMFPWZM","4X4GscPmMf","nmZMaaE0Q9","D309nIvmXG","fG6uBQFnGz","LdNpr8hQHL","vXNesLlMH1"],"dependent_operators":["X99M06cbEe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","uFcxV4UQCh","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2575","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=4234, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=nan","layer":2},{"info":"number node, value=4569","layer":4},{"info":"compute unary expreesion, input=4569, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=4161","layer":3},{"info":"compute unary expreesion, input=4161, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=12192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12192, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=1671","layer":4},{"info":"number node, value=2278","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=2278, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=41116","layer":3},{"info":"compute unary expreesion, input=41116, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=348","layer":2},{"info":"compute unary expreesion, input=348, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-4374","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4374, 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":4,"result_base":4,"text":"(((⪩⨒∯220033⊍⩺⋍⪩⨒∯1002022)⨕⋳)⊍⩺⋍(⇐(∓⪦⪩⨒∯1013121)))∀⇚≩(↩⪖(↘(⪩⨒∯122013≄⊠⪩⨒∯203212)))=NaN","reverse_text":"NaN=(((⪩⨒∯220033⊍⩺⋍⪩⨒∯1002022)⨕⋳)⊍⩺⋍(⇐(∓⪦⪩⨒∯1013121)))∀⇚≩(↩⪖(↘(⪩⨒∯122013≄⊠⪩⨒∯203212)))","cot":[{"info":"⪩⨒∯220033⊍⩺⋍⪩⨒∯1002022=NaN","layer":3},{"info":"NaN⨕⋳=NaN","layer":2},{"info":"∓⪦⪩⨒∯1013121=⪩⨒∯1001001","layer":3},{"info":"⇐⪩⨒∯1001001=⪩⨒∯2332200","layer":2},{"info":"NaN⊍⩺⋍⪩⨒∯2332200=NaN","layer":1},{"info":"⪩⨒∯122013≄⊠⪩⨒∯203212=⪩⨒∯22002130","layer":3},{"info":"↘⪩⨒∯22002130=⪩⨒∯11130","layer":2},{"info":"↩⪖⪩⨒∯11130=⪩⨒∯-1010112","layer":1},{"info":"NaN∀⇚≩⪩⨒∯-1010112=NaN","layer":0}]}
{"id":2,"expression_no_base_symbol":"(⫎≠⋺(($7473$⪨≂$6709$)⪨⊡$1023$≹⇙⪍$2613$))≧⫂∧(⊖(⨝⨆($8183$-$1953$)))","expression":"(⫎≠⋺((⪩⨒∯1310301⪨≂⪩⨒∯1220311)⪨⊡⪩⨒∯33333≹⇙⪍⪩⨒∯220311))≧⫂∧(⊖(⨝⨆(⪩⨒∯1333313-⪩⨒∯132201)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":46,"operation_count":8,"complexity_ratio":5.75,"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":7473,"base":4},"right_expr":{"type":"numeric_atoms","value":6709,"base":4}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1023,"base":4},"right_expr":{"type":"numeric_atoms","value":2613,"base":4}}}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":8183,"base":4},"right_expr":{"type":"numeric_atoms","value":1953,"base":4}}}}},"used_operators":["Ph9nP6C5qx","LYeZOJ0nQG","kuIXHzHcAH","sdazOOVcIp","AHs5Up7iyr","U6pG0PXrV3","bQ67fsrMVf","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","tifHPKVTfV"],"result":"⪩⨒∯-13121","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=7473","layer":4},{"info":"number node, value=6709","layer":4},{"info":"compute binary expreesion, left_input=7473, right_input=6709, 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=1630","layer":3},{"info":"number node, value=1023","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=2613, 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=1630, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":1},{"info":"number node, value=8183","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=8183, right_input=1953, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6230","layer":3},{"info":"compute unary expreesion, input=6230, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=6021","layer":2},{"info":"compute unary expreesion, input=6021, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":4,"result_base":4,"text":"(⫎≠⋺((⪩⨒∯1310301⪨≂⪩⨒∯1220311)⪨⊡⪩⨒∯33333≹⇙⪍⪩⨒∯220311))≧⫂∧(⊖(⨝⨆(⪩⨒∯1333313-⪩⨒∯132201)))=⪩⨒∯-13121","reverse_text":"⪩⨒∯-13121=(⫎≠⋺((⪩⨒∯1310301⪨≂⪩⨒∯1220311)⪨⊡⪩⨒∯33333≹⇙⪍⪩⨒∯220311))≧⫂∧(⊖(⨝⨆(⪩⨒∯1333313-⪩⨒∯132201)))","cot":[{"info":"⪩⨒∯1310301⪨≂⪩⨒∯1220311=⪩⨒∯121132","layer":3},{"info":"⪩⨒∯33333≹⇙⪍⪩⨒∯220311=NaN","layer":3},{"info":"⪩⨒∯121132⪨⊡NaN=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"⪩⨒∯1333313-⪩⨒∯132201=⪩⨒∯1201112","layer":3},{"info":"⨝⨆⪩⨒∯1201112=⪩⨒∯1132011","layer":2},{"info":"⊖⪩⨒∯1132011=⪩⨒∯0","layer":1},{"info":"NaN≧⫂∧⪩⨒∯0=⪩⨒∯-13121","layer":0}]}
{"id":3,"expression_no_base_symbol":"(↑((⩪∧⨌$1439$)⇍⊗(⋂$1097$)))∪⫐($3162$⪘⫢$2717$-(∡$3759$))⨐⩸⫘($1792$⪁$3378$⋷(∨∊⋏$3422$))","expression":"(↑((⩪∧⨌⪩⨒∯112133)⇍⊗(⋂⪩⨒∯101021)))∪⫐(⪩⨒∯301122⪘⫢⪩⨒∯222131-(∡⪩⨒∯322233))⨐⩸⫘(⪩⨒∯130000⪁⪩⨒∯310302⋷(∨∊⋏⪩⨒∯311132))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":167578263,"operation_count":12,"complexity_ratio":13964855.25,"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":1439,"base":4}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1097,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3162,"base":4},"right_expr":{"type":"numeric_atoms","value":2717,"base":4}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":3759,"base":4}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1792,"base":4},"right_expr":{"type":"numeric_atoms","value":3378,"base":4}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3422,"base":4}}}}},"used_operators":["7YooWSwCyH","tR7O2zTn5j","5uvYHDjeKN","6iOiAJX1F8","BUOGQAYlQx","fu6greOZ01","rysDP5nf3Z","oacrs7FA3X","pRsWfj4Fpp","23Mk6UjR3U","I7sXao9hZE","R5aXW34M0v"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⪩⨒∯3000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1439","layer":4},{"info":"compute unary expreesion, input=1439, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=14390","layer":3},{"info":"number node, value=1097","layer":4},{"info":"compute unary expreesion, input=1097, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-14762","layer":3},{"info":"compute binary expreesion, left_input=14390, right_input=-14762, 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 = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=3162","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=3162, right_input=2717, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6200","layer":3},{"info":"number node, value=3759","layer":4},{"info":"compute unary expreesion, input=3759, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-3759","layer":3},{"info":"compute binary expreesion, left_input=6200, right_input=-3759, op_id = rysDP5nf3Z binary_op_definition= 'None', output=9959","layer":2},{"info":"number node, value=1792","layer":4},{"info":"number node, value=3378","layer":4},{"info":"compute binary expreesion, left_input=1792, right_input=3378, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=3422","layer":4},{"info":"compute unary expreesion, input=3422, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=68927","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=68927, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9959, 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":"compute binary expreesion, left_input=192, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=192","layer":0}],"base":4,"result_base":4,"text":"(↑((⩪∧⨌⪩⨒∯112133)⇍⊗(⋂⪩⨒∯101021)))∪⫐(⪩⨒∯301122⪘⫢⪩⨒∯222131-(∡⪩⨒∯322233))⨐⩸⫘(⪩⨒∯130000⪁⪩⨒∯310302⋷(∨∊⋏⪩⨒∯311132))=⪩⨒∯3000","reverse_text":"⪩⨒∯3000=(↑((⩪∧⨌⪩⨒∯112133)⇍⊗(⋂⪩⨒∯101021)))∪⫐(⪩⨒∯301122⪘⫢⪩⨒∯222131-(∡⪩⨒∯322233))⨐⩸⫘(⪩⨒∯130000⪁⪩⨒∯310302⋷(∨∊⋏⪩⨒∯311132))","cot":[{"info":"⩪∧⨌⪩⨒∯112133=⪩⨒∯3200312","layer":3},{"info":"⋂⪩⨒∯101021=⪩⨒∯-3212222","layer":3},{"info":"⪩⨒∯3200312⇍⊗⪩⨒∯-3212222=⪩⨒∯-3310","layer":2},{"info":"↑⪩⨒∯-3310=⪩⨒∯3000","layer":1},{"info":"⪩⨒∯301122⪘⫢⪩⨒∯222131=⪩⨒∯1200320","layer":3},{"info":"∡⪩⨒∯322233=⪩⨒∯-322233","layer":3},{"info":"⪩⨒∯1200320-⪩⨒∯-322233=⪩⨒∯2123213","layer":2},{"info":"⪩⨒∯130000⪁⪩⨒∯310302=NaN","layer":3},{"info":"∨∊⋏⪩⨒∯311132=⪩⨒∯100310333","layer":3},{"info":"NaN⋷⪩⨒∯100310333=NaN","layer":2},{"info":"⪩⨒∯2123213⨐⩸⫘NaN=NaN","layer":1},{"info":"⪩⨒∯3000∪⫐NaN=⪩⨒∯3000","layer":0}]}
{"id":4,"expression_no_base_symbol":"⋣(⊬↢(∤$7408$⫁⪎$2970$))","expression":"⋣(⊬↢(∤⪩⨒∯1303300⫁⪎⪩⨒∯232122))","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":7408,"base":4},"right_expr":{"type":"numeric_atoms","value":2970,"base":4}}}}},"used_operators":["zQWRhDnn8F","WPoGxAaPR1","k2HlF1dBQh","xRrnTEsQ6j"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⪩⨒∯-1301","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7408","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=7408, right_input=2970, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4438","layer":3},{"info":"compute unary expreesion, input=4438, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute unary expreesion, input=9, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-2620","layer":1},{"info":"compute unary expreesion, input=-2620, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":4,"result_base":4,"text":"⋣(⊬↢(∤⪩⨒∯1303300⫁⪎⪩⨒∯232122))=⪩⨒∯-1301","reverse_text":"⪩⨒∯-1301=⋣(⊬↢(∤⪩⨒∯1303300⫁⪎⪩⨒∯232122))","cot":[{"info":"⪩⨒∯1303300⫁⪎⪩⨒∯232122=⪩⨒∯1011112","layer":3},{"info":"∤⪩⨒∯1011112=⪩⨒∯21","layer":2},{"info":"⊬↢⪩⨒∯21=⪩⨒∯-220330","layer":1},{"info":"⋣⪩⨒∯-220330=⪩⨒∯-1301","layer":0}]}
{"id":5,"expression_no_base_symbol":"(⊆⋠($1467$↺$3029$))⨚($3276$⨵⪆$4401$)⩼⇪↪($3053$∪⫐$3893$)⩚⊴⇥($1428$∇⊂⋱$2740$≥⨤⩑$2581$⪕$2552$)⨑⩅≇($6847$⪘⫢$4546$⋥≓≎$6595$⨜⨶$1599$)","expression":"(⊆⋠(⪩⨒∯112323↺⪩⨒∯233111))⨚(⪩⨒∯303030⨵⪆⪩⨒∯1010301)⩼⇪↪(⪩⨒∯233231∪⫐⪩⨒∯330311)⩚⊴⇥(⪩⨒∯112110∇⊂⋱⪩⨒∯222310≥⨤⩑⪩⨒∯220111⪕⪩⨒∯213320)⨑⩅≇(⪩⨒∯1222333⪘⫢⪩⨒∯1013002⋥≓≎⪩⨒∯1213003⨜⨶⪩⨒∯120333)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":19612,"operation_count":14,"complexity_ratio":1400.857142857143,"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":1467,"base":4},"right_expr":{"type":"numeric_atoms","value":3029,"base":4}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3276,"base":4},"right_expr":{"type":"numeric_atoms","value":4401,"base":4}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3053,"base":4},"right_expr":{"type":"numeric_atoms","value":3893,"base":4}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1428,"base":4},"right_expr":{"type":"numeric_atoms","value":2740,"base":4}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2581,"base":4},"right_expr":{"type":"numeric_atoms","value":2552,"base":4}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6847,"base":4},"right_expr":{"type":"numeric_atoms","value":4546,"base":4}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6595,"base":4},"right_expr":{"type":"numeric_atoms","value":1599,"base":4}}}}},"used_operators":["NTOWxs364D","nREPSIbpBE","EBhcHTkKd8","7j4O788W3g","ocnLzx9CaJ","2DQ55sFlQl","7YooWSwCyH","h92wMvzauj","gJLn6v0xnP","nhYeJWJD5X","umQnsF7QlU","Qy55tPpLXF","oacrs7FA3X","HiPekx5b7W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","BjRHVeLaeN","12rbrZMWeM","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⪩⨒∯-110223101","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1467","layer":4},{"info":"number node, value=3029","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=3029, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3029","layer":3},{"info":"compute unary expreesion, input=3029, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":2},{"info":"number node, value=3276","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=3276, right_input=4401, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3053","layer":4},{"info":"number node, value=3893","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=3893, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3053","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3053, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-21834","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-21834, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=88270","layer":1},{"info":"number node, value=1428","layer":4},{"info":"number node, value=2740","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=2740, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2310","layer":3},{"info":"number node, value=2581","layer":4},{"info":"number node, value=2552","layer":4},{"info":"compute binary expreesion, left_input=2581, right_input=2552, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3511","layer":3},{"info":"compute binary expreesion, left_input=2310, right_input=3511, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=6847","layer":4},{"info":"number node, value=4546","layer":4},{"info":"compute binary expreesion, left_input=6847, right_input=4546, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13570","layer":3},{"info":"number node, value=6595","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=6595, right_input=1599, 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=-2942","layer":3},{"info":"compute binary expreesion, left_input=13570, right_input=-2942, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-19421","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-19421, 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":1},{"info":"compute binary expreesion, left_input=88270, right_input=-3702, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-84689","layer":0}],"base":4,"result_base":4,"text":"(⊆⋠(⪩⨒∯112323↺⪩⨒∯233111))⨚(⪩⨒∯303030⨵⪆⪩⨒∯1010301)⩼⇪↪(⪩⨒∯233231∪⫐⪩⨒∯330311)⩚⊴⇥(⪩⨒∯112110∇⊂⋱⪩⨒∯222310≥⨤⩑⪩⨒∯220111⪕⪩⨒∯213320)⨑⩅≇(⪩⨒∯1222333⪘⫢⪩⨒∯1013002⋥≓≎⪩⨒∯1213003⨜⨶⪩⨒∯120333)=⪩⨒∯-110223101","reverse_text":"⪩⨒∯-110223101=(⊆⋠(⪩⨒∯112323↺⪩⨒∯233111))⨚(⪩⨒∯303030⨵⪆⪩⨒∯1010301)⩼⇪↪(⪩⨒∯233231∪⫐⪩⨒∯330311)⩚⊴⇥(⪩⨒∯112110∇⊂⋱⪩⨒∯222310≥⨤⩑⪩⨒∯220111⪕⪩⨒∯213320)⨑⩅≇(⪩⨒∯1222333⪘⫢⪩⨒∯1013002⋥≓≎⪩⨒∯1213003⨜⨶⪩⨒∯120333)","cot":[{"info":"⪩⨒∯112323↺⪩⨒∯233111=⪩⨒∯233111","layer":3},{"info":"⊆⋠⪩⨒∯233111=⪩⨒∯0","layer":2},{"info":"⪩⨒∯303030⨵⪆⪩⨒∯1010301=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯233231∪⫐⪩⨒∯330311=⪩⨒∯233231","layer":3},{"info":"⪩⨒∯2200⩼⇪↪⪩⨒∯233231=⪩⨒∯-11111022","layer":2},{"info":"⪩⨒∯0⨚⪩⨒∯-11111022=⪩⨒∯111203032","layer":1},{"info":"⪩⨒∯112110∇⊂⋱⪩⨒∯222310=⪩⨒∯210012","layer":3},{"info":"⪩⨒∯220111⪕⪩⨒∯213320=⪩⨒∯312313","layer":3},{"info":"⪩⨒∯210012≥⨤⩑⪩⨒∯312313=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯1222333⪘⫢⪩⨒∯1013002=⪩⨒∯3110002","layer":3},{"info":"⪩⨒∯1213003⨜⨶⪩⨒∯120333=⪩⨒∯-231332","layer":3},{"info":"⪩⨒∯3110002⋥≓≎⪩⨒∯-231332=⪩⨒∯-10233131","layer":2},{"info":"⪩⨒∯103102⨑⩅≇⪩⨒∯-10233131=⪩⨒∯-321312","layer":1},{"info":"⪩⨒∯111203032⩚⊴⇥⪩⨒∯-321312=⪩⨒∯-110223101","layer":0}]}
{"id":6,"expression_no_base_symbol":"($1818$∋$1590$∖$2409$≎⊠⪸$1562$)⪨⊡(↩⪖$3705$)⋓(⇖$1350$)⫸⇳(($5836$∪⫐$3746$)⨫⇇↔($7743$≀⫉$1374$))≹⇙⪍($8342$+⪬∐$7568$)⩁⩘($2324$⩺⪪$1418$)","expression":"(⪩⨒∯130122∋⪩⨒∯120312∖⪩⨒∯211221≎⊠⪸⪩⨒∯120122)⪨⊡(↩⪖⪩⨒∯321321)⋓(⇖⪩⨒∯111012)⫸⇳((⪩⨒∯1123030∪⫐⪩⨒∯322202)⨫⇇↔(⪩⨒∯1320333≀⫉⪩⨒∯111132))≹⇙⪍(⪩⨒∯2002112+⪬∐⪩⨒∯1312100)⩁⩘(⪩⨒∯210110⩺⪪⪩⨒∯112022)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":49857,"operation_count":15,"complexity_ratio":3323.8,"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":1818,"base":4},"right_expr":{"type":"numeric_atoms","value":1590,"base":4}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2409,"base":4},"right_expr":{"type":"numeric_atoms","value":1562,"base":4}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":3705,"base":4}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1350,"base":4}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5836,"base":4},"right_expr":{"type":"numeric_atoms","value":3746,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":7743,"base":4},"right_expr":{"type":"numeric_atoms","value":1374,"base":4}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":8342,"base":4},"right_expr":{"type":"numeric_atoms","value":7568,"base":4}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2324,"base":4},"right_expr":{"type":"numeric_atoms","value":1418,"base":4}}}}},"used_operators":["gx7XJ7hdpj","kuIXHzHcAH","tXD093vOjl","ukq6epAj5P","bJkvcejdHO","T2fj7uvVaJ","fG6uBQFnGz","tfWHHpNKUN","AHs5Up7iyr","LXhwmt4mBO","7YooWSwCyH","oZj3VtZNQx","gub5Cegaqo","2GS7woTJqF","uvdQJvN4PV"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2DQ55sFlQl","dWAJyo7jo9","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rJVOvQCfKK","2DDjHMKMc0","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","DpFCA1CohY","IWmyXbctLI","g55IO6H4Gj","D4vGDi5EA2","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1818","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=1590, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3335344","layer":3},{"info":"number node, value=2409","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=2409, right_input=1562, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=623458","layer":3},{"info":"compute binary expreesion, left_input=3335344, right_input=623458, 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=3705","layer":4},{"info":"compute unary expreesion, input=3705, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-25212","layer":3},{"info":"number node, value=1350","layer":4},{"info":"compute unary expreesion, input=1350, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-25212, right_input=160, 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 = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":1},{"info":"number node, value=5836","layer":4},{"info":"number node, value=3746","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=3746, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5836","layer":3},{"info":"number node, value=7743","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=7743, right_input=1374, 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=5836, right_input=2822, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=8342","layer":4},{"info":"number node, value=7568","layer":4},{"info":"compute binary expreesion, left_input=8342, right_input=7568, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-25026","layer":3},{"info":"number node, value=2324","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=2324, right_input=1418, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-15394","layer":3},{"info":"compute binary expreesion, left_input=-25026, right_input=-15394, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-60628","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=-60628, 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=789, 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":0}],"base":4,"result_base":4,"text":"(⪩⨒∯130122∋⪩⨒∯120312∖⪩⨒∯211221≎⊠⪸⪩⨒∯120122)⪨⊡(↩⪖⪩⨒∯321321)⋓(⇖⪩⨒∯111012)⫸⇳((⪩⨒∯1123030∪⫐⪩⨒∯322202)⨫⇇↔(⪩⨒∯1320333≀⫉⪩⨒∯111132))≹⇙⪍(⪩⨒∯2002112+⪬∐⪩⨒∯1312100)⩁⩘(⪩⨒∯210110⩺⪪⪩⨒∯112022)=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⪩⨒∯130122∋⪩⨒∯120312∖⪩⨒∯211221≎⊠⪸⪩⨒∯120122)⪨⊡(↩⪖⪩⨒∯321321)⋓(⇖⪩⨒∯111012)⫸⇳((⪩⨒∯1123030∪⫐⪩⨒∯322202)⨫⇇↔(⪩⨒∯1320333≀⫉⪩⨒∯111132))≹⇙⪍(⪩⨒∯2002112+⪬∐⪩⨒∯1312100)⩁⩘(⪩⨒∯210110⩺⪪⪩⨒∯112022)","cot":[{"info":"⪩⨒∯130122∋⪩⨒∯120312=⪩⨒∯30232102300","layer":3},{"info":"⪩⨒∯211221≎⊠⪸⪩⨒∯120122=⪩⨒∯2120031202","layer":3},{"info":"⪩⨒∯30232102300∖⪩⨒∯2120031202=⪩⨒∯0","layer":2},{"info":"↩⪖⪩⨒∯321321=⪩⨒∯-12021330","layer":3},{"info":"⇖⪩⨒∯111012=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-12021330⋓⪩⨒∯2200=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⪨⊡⪩⨒∯0=⪩⨒∯30111","layer":1},{"info":"⪩⨒∯1123030∪⫐⪩⨒∯322202=⪩⨒∯1123030","layer":3},{"info":"⪩⨒∯1320333≀⫉⪩⨒∯111132=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯1123030⨫⇇↔⪩⨒∯230012=⪩⨒∯-20033","layer":2},{"info":"⪩⨒∯2002112+⪬∐⪩⨒∯1312100=⪩⨒∯-12013002","layer":3},{"info":"⪩⨒∯210110⩺⪪⪩⨒∯112022=⪩⨒∯-3300202","layer":3},{"info":"⪩⨒∯-12013002⩁⩘⪩⨒∯-3300202=⪩⨒∯-32303110","layer":2},{"info":"⪩⨒∯-20033≹⇙⪍⪩⨒∯-32303110=NaN","layer":1},{"info":"⪩⨒∯30111⫸⇳NaN=⪩⨒∯0","layer":0}]}
{"id":7,"expression_no_base_symbol":"((∜⨇$2833$)≄⊠($1240$⫡⨏$5961$)≑≱⪘)⪄($1981$⋕⪉⪜$1037$⫲⨊)⪕(($1327$⇯⋐)⩚⊴⇥$1312$⋓$1628$)","expression":"((∜⨇⪩⨒∯230101)≄⊠(⪩⨒∯103120⫡⨏⪩⨒∯1131021)≑≱⪘)⪄(⪩⨒∯132331⋕⪉⪜⪩⨒∯100031⫲⨊)⪕((⪩⨒∯110233⇯⋐)⩚⊴⇥⪩⨒∯110200⋓⪩⨒∯121130)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":428,"operation_count":11,"complexity_ratio":38.90909090909091,"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":2833,"base":4}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1240,"base":4},"right_expr":{"type":"numeric_atoms","value":5961,"base":4}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1981,"base":4},"right_expr":{"type":"numeric_atoms","value":1037,"base":4}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1327,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1312,"base":4},"right_expr":{"type":"numeric_atoms","value":1628,"base":4}}}}},"used_operators":["SUmda5xLS4","tGSeddj7UK","vXNesLlMH1","uFPyJr306J","QMFrweE19q","umQnsF7QlU","CArV6hThFE","z6LnFrNh4i","NTOWxs364D","LkLIoiE525","T2fj7uvVaJ"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪩⨒∯-1012122203300321","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2833","layer":4},{"info":"compute unary expreesion, input=2833, 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=1240","layer":4},{"info":"number node, value=5961","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=5961, 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=18905","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18905, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=307148","layer":2},{"info":"compute unary expreesion, input=307148, 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=7982213","layer":1},{"info":"number node, value=1981","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=1037, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute unary expreesion, input=2802, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=14793","layer":2},{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4859","layer":3},{"info":"number node, value=1312","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=1628, 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=4859, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4980","layer":2},{"info":"compute binary expreesion, left_input=14793, right_input=-4980, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=7982213, right_input=935, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1181367353","layer":0}],"base":4,"result_base":4,"text":"((∜⨇⪩⨒∯230101)≄⊠(⪩⨒∯103120⫡⨏⪩⨒∯1131021)≑≱⪘)⪄(⪩⨒∯132331⋕⪉⪜⪩⨒∯100031⫲⨊)⪕((⪩⨒∯110233⇯⋐)⩚⊴⇥⪩⨒∯110200⋓⪩⨒∯121130)=⪩⨒∯-1012122203300321","reverse_text":"⪩⨒∯-1012122203300321=((∜⨇⪩⨒∯230101)≄⊠(⪩⨒∯103120⫡⨏⪩⨒∯1131021)≑≱⪘)⪄(⪩⨒∯132331⋕⪉⪜⪩⨒∯100031⫲⨊)⪕((⪩⨒∯110233⇯⋐)⩚⊴⇥⪩⨒∯110200⋓⪩⨒∯121130)","cot":[{"info":"∜⨇⪩⨒∯230101=NaN","layer":3},{"info":"⪩⨒∯103120⫡⨏⪩⨒∯1131021=⪩⨒∯10213121","layer":3},{"info":"NaN≄⊠⪩⨒∯10213121=⪩⨒∯1022333030","layer":2},{"info":"⪩⨒∯1022333030≑≱⪘=⪩⨒∯132130302011","layer":1},{"info":"⪩⨒∯132331⋕⪉⪜⪩⨒∯100031=⪩⨒∯223302","layer":3},{"info":"⪩⨒∯223302⫲⨊=⪩⨒∯3213021","layer":2},{"info":"⪩⨒∯110233⇯⋐=⪩⨒∯1023323","layer":3},{"info":"⪩⨒∯110200⋓⪩⨒∯121130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1023323⩚⊴⇥⪩⨒∯0=⪩⨒∯-1031310","layer":2},{"info":"⪩⨒∯3213021⪕⪩⨒∯-1031310=⪩⨒∯32213","layer":1},{"info":"⪩⨒∯132130302011⪄⪩⨒∯32213=⪩⨒∯-1012122203300321","layer":0}]}
{"id":8,"expression_no_base_symbol":"⇤←(≉$4628$⨻⩈⩔$1120$)⨿(($2044$⊋$2172$)≦↸$1417$⨥⫆$6720$)","expression":"⇤←(≉⪩⨒∯1020110⨻⩈⩔⪩⨒∯101200)⨿((⪩⨒∯133330⊋⪩⨒∯201330)≦↸⪩⨒∯112021⨥⫆⪩⨒∯1221000)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1564,"operation_count":7,"complexity_ratio":223.42857142857142,"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":4628,"base":4},"right_expr":{"type":"numeric_atoms","value":1120,"base":4}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2044,"base":4},"right_expr":{"type":"numeric_atoms","value":2172,"base":4}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1417,"base":4},"right_expr":{"type":"numeric_atoms","value":6720,"base":4}}}}},"used_operators":["jfAgQ2OQeM","abYXlopdE0","e1ybzncUwg","nEsXyWgiOK","RygbFNSyEJ","W4tP9CfskL","yXekIHxTD4"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"⪩⨒∯22223","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4628","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=4628, right_input=1120, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=28623","layer":3},{"info":"compute unary expreesion, input=28623, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=29154","layer":2},{"info":"number node, value=2044","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=2172, 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=-1489148","layer":3},{"info":"number node, value=1417","layer":4},{"info":"number node, value=6720","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=6720, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=13316","layer":3},{"info":"compute binary expreesion, left_input=-1489148, right_input=13316, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=2952345","layer":2},{"info":"compute binary expreesion, left_input=29154, right_input=2952345, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute unary expreesion, input=-319, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=683","layer":0}],"base":4,"result_base":4,"text":"⇤←(≉⪩⨒∯1020110⨻⩈⩔⪩⨒∯101200)⨿((⪩⨒∯133330⊋⪩⨒∯201330)≦↸⪩⨒∯112021⨥⫆⪩⨒∯1221000)=⪩⨒∯22223","reverse_text":"⪩⨒∯22223=⇤←(≉⪩⨒∯1020110⨻⩈⩔⪩⨒∯101200)⨿((⪩⨒∯133330⊋⪩⨒∯201330)≦↸⪩⨒∯112021⨥⫆⪩⨒∯1221000)","cot":[{"info":"⪩⨒∯1020110⨻⩈⩔⪩⨒∯101200=⪩⨒∯12333033","layer":3},{"info":"≉⪩⨒∯12333033=⪩⨒∯13013202","layer":2},{"info":"⪩⨒∯133330⊋⪩⨒∯201330=⪩⨒∯-11223203330","layer":3},{"info":"⪩⨒∯112021⨥⫆⪩⨒∯1221000=⪩⨒∯3100010","layer":3},{"info":"⪩⨒∯-11223203330≦↸⪩⨒∯3100010=⪩⨒∯23100302121","layer":2},{"info":"⪩⨒∯13013202⨿⪩⨒∯23100302121=⪩⨒∯-10333","layer":1},{"info":"⇤←⪩⨒∯-10333=⪩⨒∯22223","layer":0}]}
{"id":9,"expression_no_base_symbol":"($7633$⊕∕$3657$⊉≛↸$2432$⫁⪎$1279$)⫣⪄⊒(-$1024$⫔⩽⩺$3865$)⨲∙","expression":"(⪩⨒∯1313101⊕∕⪩⨒∯321021⊉≛↸⪩⨒∯212000⫁⪎⪩⨒∯103333)⫣⪄⊒(-⪩⨒∯100000⫔⩽⩺⪩⨒∯330121)⨲∙","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":544,"operation_count":7,"complexity_ratio":77.71428571428571,"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":7633,"base":4},"right_expr":{"type":"numeric_atoms","value":3657,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2432,"base":4},"right_expr":{"type":"numeric_atoms","value":1279,"base":4}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1024,"base":4},"right_expr":{"type":"numeric_atoms","value":3865,"base":4}}}}},"used_operators":["cRahaglYVE","RabNbG55vr","DZ8iAZOCBD","9cloC0Ngie","xRrnTEsQ6j","t8gj7n24qd","i9eR4S00cU"],"dependent_operators":["XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Tw270M8GLb","fu6greOZ01"],"result":"⪩⨒∯1203331312","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7633","layer":4},{"info":"number node, value=3657","layer":4},{"info":"compute binary expreesion, left_input=7633, right_input=3657, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=7633","layer":3},{"info":"number node, value=2432","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=1279, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1153","layer":3},{"info":"compute binary expreesion, left_input=7633, right_input=1153, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15266","layer":2},{"info":"number node, value=1024","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=3865, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', 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=15266, 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 unary expreesion, input=160, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=409462","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1313101⊕∕⪩⨒∯321021⊉≛↸⪩⨒∯212000⫁⪎⪩⨒∯103333)⫣⪄⊒(-⪩⨒∯100000⫔⩽⩺⪩⨒∯330121)⨲∙=⪩⨒∯1203331312","reverse_text":"⪩⨒∯1203331312=(⪩⨒∯1313101⊕∕⪩⨒∯321021⊉≛↸⪩⨒∯212000⫁⪎⪩⨒∯103333)⫣⪄⊒(-⪩⨒∯100000⫔⩽⩺⪩⨒∯330121)⨲∙","cot":[{"info":"⪩⨒∯1313101⊕∕⪩⨒∯321021=⪩⨒∯1313101","layer":3},{"info":"⪩⨒∯212000⫁⪎⪩⨒∯103333=⪩⨒∯102001","layer":3},{"info":"⪩⨒∯1313101⊉≛↸⪩⨒∯102001=⪩⨒∯3232202","layer":2},{"info":"⪩⨒∯100000⫔⩽⩺⪩⨒∯330121=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⪩⨒∯3232202⫣⪄⊒NaN=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯2200⨲∙=⪩⨒∯1203331312","layer":0}]}
{"id":10,"expression_no_base_symbol":"($1135$↙$2517$)⩼⇪↪($3325$⋳⪒$1486$)⊢($1063$⊬⨰$1318$⫥∨⫟$2654$≹⇙⪍$6428$)⇋≉","expression":"(⪩⨒∯101233↙⪩⨒∯213111)⩼⇪↪(⪩⨒∯303331⋳⪒⪩⨒∯113032)⊢(⪩⨒∯100213⊬⨰⪩⨒∯110212⫥∨⫟⪩⨒∯221132≹⇙⪍⪩⨒∯1210130)⇋≉","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2730,"operation_count":8,"complexity_ratio":341.25,"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":1135,"base":4},"right_expr":{"type":"numeric_atoms","value":2517,"base":4}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3325,"base":4},"right_expr":{"type":"numeric_atoms","value":1486,"base":4}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1063,"base":4},"right_expr":{"type":"numeric_atoms","value":1318,"base":4}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2654,"base":4},"right_expr":{"type":"numeric_atoms","value":6428,"base":4}}}}},"used_operators":["XIabStNQrY","5twsqlHp2o","ocnLzx9CaJ","yyfyN0ffXY","12rbrZMWeM","KYD54nUTWz","s3Fd5m9Dh2","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","dWAJyo7jo9"],"result":"⪩⨒∯300231112","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=2517, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7551","layer":3},{"info":"number node, value=3325","layer":4},{"info":"number node, value=1486","layer":4},{"info":"compute binary expreesion, left_input=3325, right_input=1486, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4877","layer":3},{"info":"compute binary expreesion, left_input=-7551, right_input=4877, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-50024","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1318, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5279","layer":3},{"info":"number node, value=2654","layer":4},{"info":"number node, value=6428","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=6428, 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=5279, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50024, 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=99804","layer":1},{"info":"compute unary expreesion, input=99804, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=199510","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯101233↙⪩⨒∯213111)⩼⇪↪(⪩⨒∯303331⋳⪒⪩⨒∯113032)⊢(⪩⨒∯100213⊬⨰⪩⨒∯110212⫥∨⫟⪩⨒∯221132≹⇙⪍⪩⨒∯1210130)⇋≉=⪩⨒∯300231112","reverse_text":"⪩⨒∯300231112=(⪩⨒∯101233↙⪩⨒∯213111)⩼⇪↪(⪩⨒∯303331⋳⪒⪩⨒∯113032)⊢(⪩⨒∯100213⊬⨰⪩⨒∯110212⫥∨⫟⪩⨒∯221132≹⇙⪍⪩⨒∯1210130)⇋≉","cot":[{"info":"⪩⨒∯101233↙⪩⨒∯213111=⪩⨒∯-1311333","layer":3},{"info":"⪩⨒∯303331⋳⪒⪩⨒∯113032=⪩⨒∯1030031","layer":3},{"info":"⪩⨒∯-1311333⩼⇪↪⪩⨒∯1030031=⪩⨒∯-30031220","layer":2},{"info":"⪩⨒∯100213⊬⨰⪩⨒∯110212=⪩⨒∯1102133","layer":3},{"info":"⪩⨒∯221132≹⇙⪍⪩⨒∯1210130=NaN","layer":3},{"info":"⪩⨒∯1102133⫥∨⫟NaN=NaN","layer":2},{"info":"⪩⨒∯-30031220⊢NaN=⪩⨒∯120113130","layer":1},{"info":"⪩⨒∯120113130⇋≉=⪩⨒∯300231112","layer":0}]}
{"id":11,"expression_no_base_symbol":"≘((≤/($1167$⋩≍≻))∷(∟⋨(≯$4693$)))","expression":"≘((≤/(⪩⨒∯102033⋩≍≻))∷(∟⋨(≯⪩⨒∯1021111)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":225,"operation_count":6,"complexity_ratio":37.5,"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":1167,"base":4}}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":4693,"base":4}}}}},"used_operators":["tcjXMdvYtA","D3AQDKkPcf","eLAdDNolq6","WYd1w68Nbz","ctOc4cKSDt","keWfFq85dY"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","eLAdDNolq6","tmPS8pqC7x","g55IO6H4Gj","JLbD19bQDL"],"result":"⪩⨒∯10010233210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1167","layer":4},{"info":"compute unary expreesion, input=1167, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=539","layer":2},{"info":"number node, value=4693","layer":4},{"info":"compute unary expreesion, input=4693, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=484","layer":2},{"info":"compute binary expreesion, left_input=539, right_input=484, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=484","layer":1},{"info":"compute unary expreesion, input=484, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=1068004","layer":0}],"base":4,"result_base":4,"text":"≘((≤/(⪩⨒∯102033⋩≍≻))∷(∟⋨(≯⪩⨒∯1021111)))=⪩⨒∯10010233210","reverse_text":"⪩⨒∯10010233210=≘((≤/(⪩⨒∯102033⋩≍≻))∷(∟⋨(≯⪩⨒∯1021111)))","cot":[{"info":"⪩⨒∯102033⋩≍≻=⪩⨒∯-313","layer":3},{"info":"≤/⪩⨒∯-313=⪩⨒∯20123","layer":2},{"info":"≯⪩⨒∯1021111=⪩⨒∯0","layer":3},{"info":"∟⋨⪩⨒∯0=⪩⨒∯13210","layer":2},{"info":"⪩⨒∯20123∷⪩⨒∯13210=⪩⨒∯13210","layer":1},{"info":"≘⪩⨒∯13210=⪩⨒∯10010233210","layer":0}]}
{"id":12,"expression_no_base_symbol":"(≸≮(⋃($5125$⋖∅⋲)))⨸($1817$⋾⨃∁$2561$⫃⨇$1742$⪥$1037$⫃⨇((⨆≐≲$1388$)⪁$3795$≳⇉$1262$))","expression":"(≸≮(⋃(⪩⨒∯1100011⋖∅⋲)))⨸(⪩⨒∯130121⋾⨃∁⪩⨒∯220001⫃⨇⪩⨒∯123032⪥⪩⨒∯100031⫃⨇((⨆≐≲⪩⨒∯111230)⪁⪩⨒∯323103≳⇉⪩⨒∯103232))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15638423,"operation_count":11,"complexity_ratio":1421674.8181818181,"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":5125,"base":4}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1817,"base":4},"right_expr":{"type":"numeric_atoms","value":2561,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1742,"base":4},"right_expr":{"type":"numeric_atoms","value":1037,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":1388,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3795,"base":4},"right_expr":{"type":"numeric_atoms","value":1262,"base":4}}}}},"used_operators":["KmoU8R5UQR","AljMvE3RRm","3mBM5G4a3l","L95AwlJzhO","09Ly4LVMIf","212REbPD9h","QbnwKVWMIQ","I7sXao9hZE","Bi9z9uYZqW","V0kx6qeWkN"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","g55IO6H4Gj","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5125","layer":4},{"info":"compute unary expreesion, input=5125, 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 = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-768360","layer":2},{"info":"compute unary expreesion, input=-768360, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=11526183","layer":1},{"info":"number node, value=1817","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=2561, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=65556384","layer":3},{"info":"number node, value=1742","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1037, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=11620","layer":3},{"info":"compute binary expreesion, left_input=65556384, right_input=11620, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-46512","layer":2},{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=14856792","layer":3},{"info":"number node, value=3795","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=3795, right_input=1262, 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=14856792, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-46512, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=11526183, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(≸≮(⋃(⪩⨒∯1100011⋖∅⋲)))⨸(⪩⨒∯130121⋾⨃∁⪩⨒∯220001⫃⨇⪩⨒∯123032⪥⪩⨒∯100031⫃⨇((⨆≐≲⪩⨒∯111230)⪁⪩⨒∯323103≳⇉⪩⨒∯103232))=NaN","reverse_text":"NaN=(≸≮(⋃(⪩⨒∯1100011⋖∅⋲)))⨸(⪩⨒∯130121⋾⨃∁⪩⨒∯220001⫃⨇⪩⨒∯123032⪥⪩⨒∯100031⫃⨇((⨆≐≲⪩⨒∯111230)⪁⪩⨒∯323103≳⇉⪩⨒∯103232))","cot":[{"info":"⪩⨒∯1100011⋖∅⋲=⪩⨒∯-1131303213","layer":3},{"info":"⋃⪩⨒∯-1131303213=⪩⨒∯-2323211220","layer":2},{"info":"≸≮⪩⨒∯-2323211220=⪩⨒∯223332000213","layer":1},{"info":"⪩⨒∯130121⋾⨃∁⪩⨒∯220001=⪩⨒∯3322010332200","layer":3},{"info":"⪩⨒∯123032⪥⪩⨒∯100031=⪩⨒∯2311210","layer":3},{"info":"⪩⨒∯3322010332200⫃⨇⪩⨒∯2311210=⪩⨒∯-23112300","layer":2},{"info":"⨆≐≲⪩⨒∯111230=⪩⨒∯320223021120","layer":3},{"info":"⪩⨒∯323103≳⇉⪩⨒∯103232=NaN","layer":3},{"info":"⪩⨒∯320223021120⪁NaN=NaN","layer":2},{"info":"⪩⨒∯-23112300⫃⨇NaN=NaN","layer":1},{"info":"⪩⨒∯223332000213⨸NaN=NaN","layer":0}]}
{"id":13,"expression_no_base_symbol":"(($1605$≄⊠$3260$)⫞⩸⩒($1355$⫯⪬∳$4327$)%(∓$3660$⩦$1687$))∣(($1104$⪨⊡$3282$)≌($3110$≀⫉$5507$)⪭(($1003$⊾⪯⋞$4024$)⫸⊐$2466$↙$2624$))","expression":"((⪩⨒∯121011≄⊠⪩⨒∯302330)⫞⩸⩒(⪩⨒∯111023⫯⪬∳⪩⨒∯1003213)%(∓⪩⨒∯321030⩦⪩⨒∯122113))∣((⪩⨒∯101100⪨⊡⪩⨒∯303102)≌(⪩⨒∯300212≀⫉⪩⨒∯1112003)⪭((⪩⨒∯33223⊾⪯⋞⪩⨒∯332320)⫸⊐⪩⨒∯212202↙⪩⨒∯221000))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5970,"operation_count":14,"complexity_ratio":426.42857142857144,"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":1605,"base":4},"right_expr":{"type":"numeric_atoms","value":3260,"base":4}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1355,"base":4},"right_expr":{"type":"numeric_atoms","value":4327,"base":4}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3660,"base":4},"right_expr":{"type":"numeric_atoms","value":1687,"base":4}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1104,"base":4},"right_expr":{"type":"numeric_atoms","value":3282,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3110,"base":4},"right_expr":{"type":"numeric_atoms","value":5507,"base":4}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1003,"base":4},"right_expr":{"type":"numeric_atoms","value":4024,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2466,"base":4},"right_expr":{"type":"numeric_atoms","value":2624,"base":4}}}}},"used_operators":["PPChnnnBFF","k8jYdgA6NY","XGcMNugi78","vXNesLlMH1","d7ASUq0ydm","OwUj7dcsQK","0kmYd0q39Y","j9kHMeSvPp","lyWz822IDG","kuIXHzHcAH","oZj3VtZNQx","mqXw5SEYmG","HK0tfVPux8","yyfyN0ffXY"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","COABgblf1C","xUOZtlo3hN","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","tmPS8pqC7x","DpFCA1CohY"],"result":"⪩⨒∯123200203","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1605","layer":4},{"info":"number node, value=3260","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=3260, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=56828","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=4327","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=4327, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=2481","layer":3},{"info":"compute binary expreesion, left_input=56828, right_input=2481, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2481","layer":2},{"info":"number node, value=3660","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=3660, right_input=1687, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7320","layer":3},{"info":"compute unary expreesion, input=7320, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-114672","layer":2},{"info":"compute binary expreesion, left_input=2481, right_input=-114672, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-112191","layer":1},{"info":"number node, value=1104","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=3282, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3110","layer":4},{"info":"number node, value=5507","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=5507, 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=0, 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":"number node, value=1003","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=4024, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=7622","layer":3},{"info":"number node, value=2466","layer":4},{"info":"number node, value=2624","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=2624, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7872","layer":3},{"info":"compute binary expreesion, left_input=7622, right_input=-7872, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-15873","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-15873, 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=-112191, right_input=5, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=112675","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯121011≄⊠⪩⨒∯302330)⫞⩸⩒(⪩⨒∯111023⫯⪬∳⪩⨒∯1003213)%(∓⪩⨒∯321030⩦⪩⨒∯122113))∣((⪩⨒∯101100⪨⊡⪩⨒∯303102)≌(⪩⨒∯300212≀⫉⪩⨒∯1112003)⪭((⪩⨒∯33223⊾⪯⋞⪩⨒∯332320)⫸⊐⪩⨒∯212202↙⪩⨒∯221000))=⪩⨒∯123200203","reverse_text":"⪩⨒∯123200203=((⪩⨒∯121011≄⊠⪩⨒∯302330)⫞⩸⩒(⪩⨒∯111023⫯⪬∳⪩⨒∯1003213)%(∓⪩⨒∯321030⩦⪩⨒∯122113))∣((⪩⨒∯101100⪨⊡⪩⨒∯303102)≌(⪩⨒∯300212≀⫉⪩⨒∯1112003)⪭((⪩⨒∯33223⊾⪯⋞⪩⨒∯332320)⫸⊐⪩⨒∯212202↙⪩⨒∯221000))","cot":[{"info":"⪩⨒∯121011≄⊠⪩⨒∯302330=⪩⨒∯31313330","layer":3},{"info":"⪩⨒∯111023⫯⪬∳⪩⨒∯1003213=⪩⨒∯212301","layer":3},{"info":"⪩⨒∯31313330⫞⩸⩒⪩⨒∯212301=⪩⨒∯212301","layer":2},{"info":"⪩⨒∯321030⩦⪩⨒∯122113=⪩⨒∯1302120","layer":3},{"info":"∓⪩⨒∯1302120=⪩⨒∯-123333300","layer":2},{"info":"⪩⨒∯212301%⪩⨒∯-123333300=⪩⨒∯-123120333","layer":1},{"info":"⪩⨒∯101100⪨⊡⪩⨒∯303102=⪩⨒∯0","layer":3},{"info":"⪩⨒∯300212≀⫉⪩⨒∯1112003=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯0≌⪩⨒∯230012=NaN","layer":2},{"info":"⪩⨒∯33223⊾⪯⋞⪩⨒∯332320=⪩⨒∯1313012","layer":3},{"info":"⪩⨒∯212202↙⪩⨒∯221000=⪩⨒∯-1323000","layer":3},{"info":"⪩⨒∯1313012⫸⊐⪩⨒∯-1323000=⪩⨒∯-3320001","layer":2},{"info":"NaN⪭⪩⨒∯-3320001=⪩⨒∯11","layer":1},{"info":"⪩⨒∯-123120333∣⪩⨒∯11=⪩⨒∯123200203","layer":0}]}
{"id":14,"expression_no_base_symbol":"(($3856$/$4844$)∌↝$1544$≝⊿$6301$≎⊠⪸((⪹$5843$)⋻⩜⩜($7324$⋩≍≻)))⊬⨰((($7702$⊋$4220$)⇗⋫)≬⋮($1067$⨔≚≋$6370$)∋(∮$2174$))","expression":"((⪩⨒∯330100/⪩⨒∯1023230)∌↝⪩⨒∯120020≝⊿⪩⨒∯1202131≎⊠⪸((⪹⪩⨒∯1123103)⋻⩜⩜(⪩⨒∯1302130⋩≍≻)))⊬⨰(((⪩⨒∯1320112⊋⪩⨒∯1001330)⇗⋫)≬⋮(⪩⨒∯100223⨔≚≋⪩⨒∯1203202)∋(∮⪩⨒∯201332))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8382,"operation_count":14,"complexity_ratio":598.7142857142857,"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":3856,"base":4},"right_expr":{"type":"numeric_atoms","value":4844,"base":4}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1544,"base":4},"right_expr":{"type":"numeric_atoms","value":6301,"base":4}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":5843,"base":4}},"right_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":7324,"base":4}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7702,"base":4},"right_expr":{"type":"numeric_atoms","value":4220,"base":4}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1067,"base":4},"right_expr":{"type":"numeric_atoms","value":6370,"base":4}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":2174,"base":4}}}}},"used_operators":["s3Fd5m9Dh2","bJkvcejdHO","9Isq31Ruls","XhwjNDsVaA","OKKcZfAt5B","oDCm7WA9JY","USyYr0JgAa","WYd1w68Nbz","kbkesczE7y","hpqmaQFPrd","W4tP9CfskL","ukq6epAj5P","Z57zeUYC9z","CqXKPLVYql"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","12rbrZMWeM","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tifHPKVTfV","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rxpJgHHUmx","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL"],"result":"⪩⨒∯320112","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3856","layer":4},{"info":"number node, value=4844","layer":4},{"info":"compute binary expreesion, left_input=3856, right_input=4844, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=6301","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=6301, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-14679","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14679, 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":"number node, value=5843","layer":4},{"info":"compute unary expreesion, input=5843, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-5663","layer":3},{"info":"number node, value=7324","layer":4},{"info":"compute unary expreesion, input=7324, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=-5663, right_input=-55, 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=0, 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=7702","layer":4},{"info":"number node, value=4220","layer":4},{"info":"compute binary expreesion, left_input=7702, right_input=4220, 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=116601436","layer":3},{"info":"compute unary expreesion, input=116601436, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=1067","layer":4},{"info":"number node, value=6370","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=6370, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2174","layer":4},{"info":"compute unary expreesion, input=2174, 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=9872, right_input=67, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=598496","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=598496, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=868, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=3606","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯330100/⪩⨒∯1023230)∌↝⪩⨒∯120020≝⊿⪩⨒∯1202131≎⊠⪸((⪹⪩⨒∯1123103)⋻⩜⩜(⪩⨒∯1302130⋩≍≻)))⊬⨰(((⪩⨒∯1320112⊋⪩⨒∯1001330)⇗⋫)≬⋮(⪩⨒∯100223⨔≚≋⪩⨒∯1203202)∋(∮⪩⨒∯201332))=⪩⨒∯320112","reverse_text":"⪩⨒∯320112=((⪩⨒∯330100/⪩⨒∯1023230)∌↝⪩⨒∯120020≝⊿⪩⨒∯1202131≎⊠⪸((⪹⪩⨒∯1123103)⋻⩜⩜(⪩⨒∯1302130⋩≍≻)))⊬⨰(((⪩⨒∯1320112⊋⪩⨒∯1001330)⇗⋫)≬⋮(⪩⨒∯100223⨔≚≋⪩⨒∯1203202)∋(∮⪩⨒∯201332))","cot":[{"info":"⪩⨒∯330100/⪩⨒∯1023230=⪩⨒∯0","layer":3},{"info":"⪩⨒∯120020≝⊿⪩⨒∯1202131=⪩⨒∯-3211113","layer":3},{"info":"⪩⨒∯0∌↝⪩⨒∯-3211113=⪩⨒∯0","layer":2},{"info":"⪹⪩⨒∯1123103=⪩⨒∯-1120133","layer":3},{"info":"⪩⨒∯1302130⋩≍≻=⪩⨒∯-313","layer":3},{"info":"⪩⨒∯-1120133⋻⩜⩜⪩⨒∯-313=NaN","layer":2},{"info":"⪩⨒∯0≎⊠⪸NaN=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯1320112⊋⪩⨒∯1001330=⪩⨒∯12330303021130","layer":3},{"info":"⪩⨒∯12330303021130⇗⋫=NaN","layer":2},{"info":"⪩⨒∯100223⨔≚≋⪩⨒∯1203202=⪩⨒∯2122100","layer":3},{"info":"∮⪩⨒∯201332=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯2122100∋⪩⨒∯1003=⪩⨒∯2102013200","layer":2},{"info":"NaN≬⋮⪩⨒∯2102013200=⪩⨒∯31210","layer":1},{"info":"⪩⨒∯1003⊬⨰⪩⨒∯31210=⪩⨒∯320112","layer":0}]}
{"id":15,"expression_no_base_symbol":"(⋂$1360$⨂≜$4774$)≎⊠⪸(($1913$⊭↱$2133$)≭$4167$≨$1223$)⪒$2004$⪭$2761$⫒⫫$3279$↬$6365$⪛⫼($1784$⫃⨇$2804$↱$3208$⩁⩘$4670$)","expression":"(⋂⪩⨒∯111100⨂≜⪩⨒∯1022212)≎⊠⪸((⪩⨒∯131321⊭↱⪩⨒∯201111)≭⪩⨒∯1001013≨⪩⨒∯103013)⪒⪩⨒∯133110⪭⪩⨒∯223021⫒⫫⪩⨒∯303033↬⪩⨒∯1203131⪛⫼(⪩⨒∯123320⫃⨇⪩⨒∯223310↱⪩⨒∯302020⩁⩘⪩⨒∯1020332)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1667,"operation_count":14,"complexity_ratio":119.07142857142857,"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":1360,"base":4},"right_expr":{"type":"numeric_atoms","value":4774,"base":4}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1913,"base":4},"right_expr":{"type":"numeric_atoms","value":2133,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4167,"base":4},"right_expr":{"type":"numeric_atoms","value":1223,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2004,"base":4},"right_expr":{"type":"numeric_atoms","value":2761,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3279,"base":4},"right_expr":{"type":"numeric_atoms","value":6365,"base":4}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1784,"base":4},"right_expr":{"type":"numeric_atoms","value":2804,"base":4}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3208,"base":4},"right_expr":{"type":"numeric_atoms","value":4670,"base":4}}}}},"used_operators":["f6k1SAg4EE","bJkvcejdHO","BUOGQAYlQx","k1SHOSEABc","rxpJgHHUmx","COABgblf1C","0KMCeP1Jsh","hyuBjUqXlG","6Ko8hGgeMq","j9kHMeSvPp","B5M0gjZbta","SR5kFfdi6N","09Ly4LVMIf","gub5Cegaqo"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","COABgblf1C","xUOZtlo3hN","rGHVDoGpnC","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1360","layer":4},{"info":"number node, value=4774","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=4774, 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 = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=nan","layer":2},{"info":"number node, value=1913","layer":4},{"info":"number node, value=2133","layer":4},{"info":"compute binary expreesion, left_input=1913, right_input=2133, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=445","layer":3},{"info":"number node, value=4167","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=4167, right_input=1223, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-39194","layer":3},{"info":"compute binary expreesion, left_input=445, right_input=-39194, 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 = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=2004","layer":4},{"info":"number node, value=2761","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=2761, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3279","layer":4},{"info":"number node, value=6365","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=6365, 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=5, 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=1784","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=1784, right_input=2804, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11248","layer":3},{"info":"number node, value=3208","layer":4},{"info":"number node, value=4670","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=4670, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=19628","layer":3},{"info":"compute binary expreesion, left_input=-11248, right_input=19628, 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=-58362","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-58362, 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=67, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⋂⪩⨒∯111100⨂≜⪩⨒∯1022212)≎⊠⪸((⪩⨒∯131321⊭↱⪩⨒∯201111)≭⪩⨒∯1001013≨⪩⨒∯103013)⪒⪩⨒∯133110⪭⪩⨒∯223021⫒⫫⪩⨒∯303033↬⪩⨒∯1203131⪛⫼(⪩⨒∯123320⫃⨇⪩⨒∯223310↱⪩⨒∯302020⩁⩘⪩⨒∯1020332)=NaN","reverse_text":"NaN=(⋂⪩⨒∯111100⨂≜⪩⨒∯1022212)≎⊠⪸((⪩⨒∯131321⊭↱⪩⨒∯201111)≭⪩⨒∯1001013≨⪩⨒∯103013)⪒⪩⨒∯133110⪭⪩⨒∯223021⫒⫫⪩⨒∯303033↬⪩⨒∯1203131⪛⫼(⪩⨒∯123320⫃⨇⪩⨒∯223310↱⪩⨒∯302020⩁⩘⪩⨒∯1020332)","cot":[{"info":"⪩⨒∯111100⨂≜⪩⨒∯1022212=NaN","layer":3},{"info":"⋂NaN=NaN","layer":2},{"info":"⪩⨒∯131321⊭↱⪩⨒∯201111=⪩⨒∯12331","layer":3},{"info":"⪩⨒∯1001013≨⪩⨒∯103013=⪩⨒∯-21210122","layer":3},{"info":"⪩⨒∯12331≭⪩⨒∯-21210122=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯133110⪭⪩⨒∯223021=⪩⨒∯11","layer":3},{"info":"⪩⨒∯303033↬⪩⨒∯1203131=NaN","layer":3},{"info":"⪩⨒∯11⫒⫫NaN=NaN","layer":2},{"info":"⪩⨒∯123320⫃⨇⪩⨒∯223310=⪩⨒∯-2233300","layer":3},{"info":"⪩⨒∯302020⩁⩘⪩⨒∯1020332=⪩⨒∯10302230","layer":3},{"info":"⪩⨒∯-2233300↱⪩⨒∯10302230=⪩⨒∯-32033322","layer":2},{"info":"NaN⪛⫼⪩⨒∯-32033322=NaN","layer":1},{"info":"⪩⨒∯1003⪒NaN=NaN","layer":0}]}
{"id":16,"expression_no_base_symbol":"≤/($7337$↙$3737$)≄⊠($2718$⋭≵$5612$)≃(↞≼($1199$≬⇓$1933$))","expression":"≤/(⪩⨒∯1302221↙⪩⨒∯322121)≄⊠(⪩⨒∯222132⋭≵⪩⨒∯1113230)≃(↞≼(⪩⨒∯102233≬⇓⪩⨒∯132031))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3914,"operation_count":7,"complexity_ratio":559.1428571428571,"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":7337,"base":4},"right_expr":{"type":"numeric_atoms","value":3737,"base":4}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2718,"base":4},"right_expr":{"type":"numeric_atoms","value":5612,"base":4}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1199,"base":4},"right_expr":{"type":"numeric_atoms","value":1933,"base":4}}}}},"used_operators":["eLAdDNolq6","YbVcJGFEVW","vXNesLlMH1","yyfyN0ffXY","jBncVCNhdl","DE7zCoGJt9","jWTQ2TZYIH"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","tmPS8pqC7x","DpFCA1CohY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"⪩⨒∯-130230","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7337","layer":4},{"info":"number node, value=3737","layer":4},{"info":"compute binary expreesion, left_input=7337, right_input=3737, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11211","layer":3},{"info":"number node, value=2718","layer":4},{"info":"number node, value=5612","layer":4},{"info":"compute binary expreesion, left_input=2718, right_input=5612, 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=-11211, right_input=67, 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=1199","layer":4},{"info":"number node, value=1933","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=1933, 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 = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-590","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-590, 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=2320","layer":1},{"info":"compute unary expreesion, input=2320, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1836","layer":0}],"base":4,"result_base":4,"text":"≤/(⪩⨒∯1302221↙⪩⨒∯322121)≄⊠(⪩⨒∯222132⋭≵⪩⨒∯1113230)≃(↞≼(⪩⨒∯102233≬⇓⪩⨒∯132031))=⪩⨒∯-130230","reverse_text":"⪩⨒∯-130230=≤/(⪩⨒∯1302221↙⪩⨒∯322121)≄⊠(⪩⨒∯222132⋭≵⪩⨒∯1113230)≃(↞≼(⪩⨒∯102233≬⇓⪩⨒∯132031))","cot":[{"info":"⪩⨒∯1302221↙⪩⨒∯322121=⪩⨒∯-2233023","layer":3},{"info":"⪩⨒∯222132⋭≵⪩⨒∯1113230=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯-2233023≄⊠⪩⨒∯1003=⪩⨒∯113130","layer":2},{"info":"⪩⨒∯102233≬⇓⪩⨒∯132031=⪩⨒∯-112","layer":3},{"info":"↞≼⪩⨒∯-112=⪩⨒∯-21032","layer":2},{"info":"⪩⨒∯113130≃⪩⨒∯-21032=⪩⨒∯210100","layer":1},{"info":"≤/⪩⨒∯210100=⪩⨒∯-130230","layer":0}]}
{"id":17,"expression_no_base_symbol":"→⩰($6563$⇤$1916$⇼⇔∾$5010$↺$6367$)≁↽≥((⇨$8044$)≬⇓$3273$→⨶⪴$1262$)","expression":"→⩰(⪩⨒∯1212203⇤⪩⨒∯131330⇼⇔∾⪩⨒∯1032102↺⪩⨒∯1203133)≁↽≥((⇨⪩⨒∯1331230)≬⇓⪩⨒∯303021→⨶⪴⪩⨒∯103232)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":457,"operation_count":8,"complexity_ratio":57.125,"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":6563,"base":4},"right_expr":{"type":"numeric_atoms","value":1916,"base":4}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5010,"base":4},"right_expr":{"type":"numeric_atoms","value":6367,"base":4}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":8044,"base":4}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":3273,"base":4},"right_expr":{"type":"numeric_atoms","value":1262,"base":4}}}}},"used_operators":["o8Pngz0Tml","ncHt1X6cMc","tifHPKVTfV","YSKBFp38Pu","7j4O788W3g","jWTQ2TZYIH","G9tJMlZ94a","bF6eod5Gvf"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","k8jYdgA6NY","8w2t5hMYqp","9FxExcQeMw"],"result":"⪩⨒∯-103101311","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6563","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=6563, right_input=1916, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-39547","layer":3},{"info":"number node, value=5010","layer":4},{"info":"number node, value=6367","layer":4},{"info":"compute binary expreesion, left_input=5010, right_input=6367, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6367","layer":3},{"info":"compute binary expreesion, left_input=-39547, right_input=6367, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=45914","layer":2},{"info":"number node, value=8044","layer":4},{"info":"compute unary expreesion, input=8044, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=3273","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=1262, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3786","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3786, 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=45914, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=-78965","layer":0}],"base":4,"result_base":4,"text":"→⩰(⪩⨒∯1212203⇤⪩⨒∯131330⇼⇔∾⪩⨒∯1032102↺⪩⨒∯1203133)≁↽≥((⇨⪩⨒∯1331230)≬⇓⪩⨒∯303021→⨶⪴⪩⨒∯103232)=⪩⨒∯-103101311","reverse_text":"⪩⨒∯-103101311=→⩰(⪩⨒∯1212203⇤⪩⨒∯131330⇼⇔∾⪩⨒∯1032102↺⪩⨒∯1203133)≁↽≥((⇨⪩⨒∯1331230)≬⇓⪩⨒∯303021→⨶⪴⪩⨒∯103232)","cot":[{"info":"⪩⨒∯1212203⇤⪩⨒∯131330=⪩⨒∯-21221323","layer":3},{"info":"⪩⨒∯1032102↺⪩⨒∯1203133=⪩⨒∯1203133","layer":3},{"info":"⪩⨒∯-21221323⇼⇔∾⪩⨒∯1203133=⪩⨒∯23031122","layer":2},{"info":"⇨⪩⨒∯1331230=⪩⨒∯0","layer":3},{"info":"⪩⨒∯303021→⨶⪴⪩⨒∯103232=⪩⨒∯-323022","layer":3},{"info":"⪩⨒∯0≬⇓⪩⨒∯-323022=⪩⨒∯0","layer":2},{"info":"⪩⨒∯23031122≁↽≥⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"→⩰⪩⨒∯0=⪩⨒∯-103101311","layer":0}]}
{"id":18,"expression_no_base_symbol":"⊲⪭($1167$%$1383$)⨿$5474$⊕∕$2856$⪔⊥($2016$⪔⊥$3226$)⨸($1597$⫉⨲⊜$6631$)","expression":"⊲⪭(⪩⨒∯102033%⪩⨒∯111213)⨿⪩⨒∯1111202⊕∕⪩⨒∯230220⪔⊥(⪩⨒∯133200⪔⊥⪩⨒∯302122)⨸(⪩⨒∯120331⫉⨲⊜⪩⨒∯1213213)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1822,"operation_count":8,"complexity_ratio":227.75,"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":1167,"base":4},"right_expr":{"type":"numeric_atoms","value":1383,"base":4}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5474,"base":4},"right_expr":{"type":"numeric_atoms","value":2856,"base":4}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2016,"base":4},"right_expr":{"type":"numeric_atoms","value":3226,"base":4}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1597,"base":4},"right_expr":{"type":"numeric_atoms","value":6631,"base":4}}}}},"used_operators":["k7HXdKtiEU","HJ9erzHUuu","abYXlopdE0","k8jYdgA6NY","9cloC0Ngie","KmoU8R5UQR","WhqkvtTD3t"],"dependent_operators":["i8ToyICDmI","xUOZtlo3hN","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","rysDP5nf3Z","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eewbuw0ToL","zVYPLywUTj"],"result":"⪩⨒∯1230221","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1167","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=1383, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1167","layer":3},{"info":"number node, value=5474","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=5474, right_input=2856, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5474","layer":3},{"info":"compute binary expreesion, left_input=1167, right_input=5474, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":2},{"info":"number node, value=2016","layer":4},{"info":"number node, value=3226","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=3226, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1413","layer":3},{"info":"number node, value=1597","layer":4},{"info":"number node, value=6631","layer":4},{"info":"compute binary expreesion, left_input=1597, right_input=6631, 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=1413, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2826","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=2826, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-7127","layer":1},{"info":"compute unary expreesion, input=-7127, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=6953","layer":0}],"base":4,"result_base":4,"text":"⊲⪭(⪩⨒∯102033%⪩⨒∯111213)⨿⪩⨒∯1111202⊕∕⪩⨒∯230220⪔⊥(⪩⨒∯133200⪔⊥⪩⨒∯302122)⨸(⪩⨒∯120331⫉⨲⊜⪩⨒∯1213213)=⪩⨒∯1230221","reverse_text":"⪩⨒∯1230221=⊲⪭(⪩⨒∯102033%⪩⨒∯111213)⨿⪩⨒∯1111202⊕∕⪩⨒∯230220⪔⊥(⪩⨒∯133200⪔⊥⪩⨒∯302122)⨸(⪩⨒∯120331⫉⨲⊜⪩⨒∯1213213)","cot":[{"info":"⪩⨒∯102033%⪩⨒∯111213=⪩⨒∯102033","layer":3},{"info":"⪩⨒∯1111202⊕∕⪩⨒∯230220=⪩⨒∯1111202","layer":3},{"info":"⪩⨒∯102033⨿⪩⨒∯1111202=⪩⨒∯-10333","layer":2},{"info":"⪩⨒∯133200⪔⊥⪩⨒∯302122=⪩⨒∯112011","layer":3},{"info":"⪩⨒∯120331⫉⨲⊜⪩⨒∯1213213=⪩⨒∯0","layer":3},{"info":"⪩⨒∯112011⨸⪩⨒∯0=⪩⨒∯230022","layer":2},{"info":"⪩⨒∯-10333⪔⊥⪩⨒∯230022=⪩⨒∯-1233113","layer":1},{"info":"⊲⪭⪩⨒∯-1233113=⪩⨒∯1230221","layer":0}]}
{"id":19,"expression_no_base_symbol":"(($1361$⨳⩥⨓$4688$)∴≳≥)⇴∐(∨∊⋏($2647$≚⊃≕$3119$))≬⋮($2314$%$2647$)⋾⨃∁(⪨⨬$1068$)⋭≵(⊆⋠($1284$⨹))","expression":"((⪩⨒∯111101⨳⩥⨓⪩⨒∯1021100)∴≳≥)⇴∐(∨∊⋏(⪩⨒∯221113≚⊃≕⪩⨒∯300233))≬⋮(⪩⨒∯210022%⪩⨒∯221113)⋾⨃∁(⪨⨬⪩⨒∯100230)⋭≵(⊆⋠(⪩⨒∯110010⨹))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4027,"operation_count":12,"complexity_ratio":335.5833333333333,"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":1361,"base":4},"right_expr":{"type":"numeric_atoms","value":4688,"base":4}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2647,"base":4},"right_expr":{"type":"numeric_atoms","value":3119,"base":4}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2314,"base":4},"right_expr":{"type":"numeric_atoms","value":2647,"base":4}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1068,"base":4}}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":1284,"base":4}}}}},"used_operators":["kbkesczE7y","HnzytWxmAO","a3N2hFLK0J","nCS4ZIUYfx","R5aXW34M0v","Bmrmz2XGnR","jBncVCNhdl","212REbPD9h","k8jYdgA6NY","5obUd6DV38","EBhcHTkKd8","UnCoSGIALn"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","T2fj7uvVaJ","nlCqmYiOvY","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","mp7IySMOzn"],"result":"⪩⨒∯31210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1361","layer":4},{"info":"number node, value=4688","layer":4},{"info":"compute binary expreesion, left_input=1361, right_input=4688, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3327","layer":3},{"info":"compute unary expreesion, input=3327, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=13308","layer":2},{"info":"number node, value=2647","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=3119, 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 = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-3849","layer":2},{"info":"compute binary expreesion, left_input=13308, right_input=-3849, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=2314","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=2647, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2314","layer":3},{"info":"number node, value=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=2314, right_input=-526, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=2772978","layer":2},{"info":"number node, value=1284","layer":4},{"info":"compute unary expreesion, input=1284, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2568","layer":3},{"info":"compute unary expreesion, input=2568, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2772978, right_input=0, 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 = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯111101⨳⩥⨓⪩⨒∯1021100)∴≳≥)⇴∐(∨∊⋏(⪩⨒∯221113≚⊃≕⪩⨒∯300233))≬⋮(⪩⨒∯210022%⪩⨒∯221113)⋾⨃∁(⪨⨬⪩⨒∯100230)⋭≵(⊆⋠(⪩⨒∯110010⨹))=⪩⨒∯31210","reverse_text":"⪩⨒∯31210=((⪩⨒∯111101⨳⩥⨓⪩⨒∯1021100)∴≳≥)⇴∐(∨∊⋏(⪩⨒∯221113≚⊃≕⪩⨒∯300233))≬⋮(⪩⨒∯210022%⪩⨒∯221113)⋾⨃∁(⪨⨬⪩⨒∯100230)⋭≵(⊆⋠(⪩⨒∯110010⨹))","cot":[{"info":"⪩⨒∯111101⨳⩥⨓⪩⨒∯1021100=⪩⨒∯303333","layer":3},{"info":"⪩⨒∯303333∴≳≥=⪩⨒∯3033330","layer":2},{"info":"⪩⨒∯221113≚⊃≕⪩⨒∯300233=⪩⨒∯1003","layer":3},{"info":"∨∊⋏⪩⨒∯1003=⪩⨒∯-330021","layer":2},{"info":"⪩⨒∯3033330⇴∐⪩⨒∯-330021=NaN","layer":1},{"info":"⪩⨒∯210022%⪩⨒∯221113=⪩⨒∯210022","layer":3},{"info":"⪨⨬⪩⨒∯100230=⪩⨒∯-20032","layer":3},{"info":"⪩⨒∯210022⋾⨃∁⪩⨒∯-20032=⪩⨒∯22210333302","layer":2},{"info":"⪩⨒∯110010⨹=⪩⨒∯220020","layer":3},{"info":"⊆⋠⪩⨒∯220020=⪩⨒∯0","layer":2},{"info":"⪩⨒∯22210333302⋭≵⪩⨒∯0=⪩⨒∯1003","layer":1},{"info":"NaN≬⋮⪩⨒∯1003=⪩⨒∯31210","layer":0}]}
{"id":20,"expression_no_base_symbol":"(↞≼(($1369$⫔⩽⩺$1449$)⫁⪎(≋$3570$)))⇴(⫇(↑$1051$⊮⊟↴$1002$))","expression":"(↞≼((⪩⨒∯111121⫔⩽⩺⪩⨒∯112221)⫁⪎(≋⪩⨒∯313302)))⇴(⫇(↑⪩⨒∯100123⊮⊟↴⪩⨒∯33222))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":165,"operation_count":8,"complexity_ratio":20.625,"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":1369,"base":4},"right_expr":{"type":"numeric_atoms","value":1449,"base":4}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":3570,"base":4}}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1051,"base":4},"right_expr":{"type":"numeric_atoms","value":1002,"base":4}}}}},"used_operators":["4JB6nKBMSY","DE7zCoGJt9","xRrnTEsQ6j","i9eR4S00cU","61wBmkZwlr","YjI8oCXuph","tR7O2zTn5j","QDVgd2eftb"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Tw270M8GLb","fu6greOZ01","7j4O788W3g","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1369","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=1449, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=3570","layer":4},{"info":"compute unary expreesion, input=3570, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=3570","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3570, 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 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":"number node, value=1051","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1002, 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 = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸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 binary expreesion, left_input=nan, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↞≼((⪩⨒∯111121⫔⩽⩺⪩⨒∯112221)⫁⪎(≋⪩⨒∯313302)))⇴(⫇(↑⪩⨒∯100123⊮⊟↴⪩⨒∯33222))=NaN","reverse_text":"NaN=(↞≼((⪩⨒∯111121⫔⩽⩺⪩⨒∯112221)⫁⪎(≋⪩⨒∯313302)))⇴(⫇(↑⪩⨒∯100123⊮⊟↴⪩⨒∯33222))","cot":[{"info":"⪩⨒∯111121⫔⩽⩺⪩⨒∯112221=NaN","layer":3},{"info":"≋⪩⨒∯313302=⪩⨒∯313302","layer":3},{"info":"NaN⫁⪎⪩⨒∯313302=NaN","layer":2},{"info":"↞≼NaN=NaN","layer":1},{"info":"⪩⨒∯100123⊮⊟↴⪩⨒∯33222=⪩⨒∯0","layer":3},{"info":"↑⪩⨒∯0=NaN","layer":2},{"info":"⫇NaN=NaN","layer":1},{"info":"NaN⇴NaN=NaN","layer":0}]}
{"id":21,"expression_no_base_symbol":"(⊲⪭(($2828$⊍)∝$9185$∘$2722$))↹⊜(⋗⩴⪓($4512$⩘$3358$⋝⋈⪟($6136$⋅⇍$3605$)))","expression":"(⊲⪭((⪩⨒∯230030⊍)∝⪩⨒∯2033201∘⪩⨒∯222202))↹⊜(⋗⩴⪓(⪩⨒∯1012200⩘⪩⨒∯310132⋝⋈⪟(⪩⨒∯1133320⋅⇍⪩⨒∯320111)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":183,"operation_count":9,"complexity_ratio":20.333333333333332,"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":2828,"base":4}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":9185,"base":4},"right_expr":{"type":"numeric_atoms","value":2722,"base":4}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4512,"base":4},"right_expr":{"type":"numeric_atoms","value":3358,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6136,"base":4},"right_expr":{"type":"numeric_atoms","value":3605,"base":4}}}}},"used_operators":["9bazX3JMtO","k7HXdKtiEU","cTDWOvIxvz","3nqY3DE9mg","Z5m6OM72h2","nOKPl9n5zu","2DDjHMKMc0","cHh1gJQ2o6","AdZkA7nFnk"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","i8ToyICDmI","xUOZtlo3hN","7j4O788W3g","W4YGzv6Whe","COABgblf1C","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","eH2TOUuTDT","rysDP5nf3Z","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⪩⨒∯-2331000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2828","layer":4},{"info":"compute unary expreesion, input=2828, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=6804","layer":3},{"info":"number node, value=9185","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=9185, right_input=2722, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=18370","layer":3},{"info":"compute binary expreesion, left_input=6804, right_input=18370, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6809","layer":2},{"info":"compute unary expreesion, input=6809, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-6983","layer":1},{"info":"number node, value=4512","layer":4},{"info":"number node, value=3358","layer":4},{"info":"compute binary expreesion, left_input=4512, right_input=3358, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=6136","layer":4},{"info":"number node, value=3605","layer":4},{"info":"compute binary expreesion, left_input=6136, right_input=3605, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=1500","layer":1},{"info":"compute binary expreesion, left_input=-6983, right_input=1500, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-12096","layer":0}],"base":4,"result_base":4,"text":"(⊲⪭((⪩⨒∯230030⊍)∝⪩⨒∯2033201∘⪩⨒∯222202))↹⊜(⋗⩴⪓(⪩⨒∯1012200⩘⪩⨒∯310132⋝⋈⪟(⪩⨒∯1133320⋅⇍⪩⨒∯320111)))=⪩⨒∯-2331000","reverse_text":"⪩⨒∯-2331000=(⊲⪭((⪩⨒∯230030⊍)∝⪩⨒∯2033201∘⪩⨒∯222202))↹⊜(⋗⩴⪓(⪩⨒∯1012200⩘⪩⨒∯310132⋝⋈⪟(⪩⨒∯1133320⋅⇍⪩⨒∯320111)))","cot":[{"info":"⪩⨒∯230030⊍=⪩⨒∯1222110","layer":3},{"info":"⪩⨒∯2033201∘⪩⨒∯222202=⪩⨒∯10133002","layer":3},{"info":"⪩⨒∯1222110∝⪩⨒∯10133002=⪩⨒∯1222121","layer":2},{"info":"⊲⪭⪩⨒∯1222121=⪩⨒∯-1231013","layer":1},{"info":"⪩⨒∯1012200⩘⪩⨒∯310132=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1133320⋅⇍⪩⨒∯320111=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯2200⋝⋈⪟⪩⨒∯-112=⪩⨒∯2200","layer":2},{"info":"⋗⩴⪓⪩⨒∯2200=⪩⨒∯113130","layer":1},{"info":"⪩⨒∯-1231013↹⊜⪩⨒∯113130=⪩⨒∯-2331000","layer":0}]}
{"id":22,"expression_no_base_symbol":"⩏⊷≩(($1954$⋹)⪟⇏($9790$⫭)⩁)","expression":"⩏⊷≩((⪩⨒∯132202⋹)⪟⇏(⪩⨒∯2120332⫭)⩁)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":147,"operation_count":5,"complexity_ratio":29.4,"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":1954,"base":4}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":9790,"base":4}}}}},"used_operators":["uOZ1tnYMDE","5GqDbVmqXU","GODebY97qR","opAxDRczMr","t4WUHVGj7f"],"dependent_operators":["23Mk6UjR3U","12rbrZMWeM","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj"],"result":"⪩⨒∯21212","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1954","layer":4},{"info":"compute unary expreesion, input=1954, 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=9790","layer":4},{"info":"compute unary expreesion, input=9790, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=29611","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=29611, 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 unary expreesion, input=0, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=614","layer":0}],"base":4,"result_base":4,"text":"⩏⊷≩((⪩⨒∯132202⋹)⪟⇏(⪩⨒∯2120332⫭)⩁)=⪩⨒∯21212","reverse_text":"⪩⨒∯21212=⩏⊷≩((⪩⨒∯132202⋹)⪟⇏(⪩⨒∯2120332⫭)⩁)","cot":[{"info":"⪩⨒∯132202⋹=⪩⨒∯-110","layer":3},{"info":"⪩⨒∯2120332⫭=⪩⨒∯13032223","layer":3},{"info":"⪩⨒∯-110⪟⇏⪩⨒∯13032223=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⩁=⪩⨒∯0","layer":1},{"info":"⩏⊷≩⪩⨒∯0=⪩⨒∯21212","layer":0}]}
{"id":23,"expression_no_base_symbol":"(($7434$↬$3867$*($4553$∷$1908$))⨪↰⇹($1201$⩚⊴⇥$1450$)⇂≾⫗($2393$≨$3196$))⫣⪄⊒(($4053$⇮⋭$1003$)↳≱($1051$*$1986$)⊉↱≁($4121$∘$8756$⪶≀⋏$1936$⊉↱≁$1118$))","expression":"((⪩⨒∯1310022↬⪩⨒∯330123*(⪩⨒∯1013021∷⪩⨒∯131310))⨪↰⇹(⪩⨒∯102301⩚⊴⇥⪩⨒∯112222)⇂≾⫗(⪩⨒∯211121≨⪩⨒∯301330))⫣⪄⊒((⪩⨒∯333111⇮⋭⪩⨒∯33223)↳≱(⪩⨒∯100123*⪩⨒∯133002)⊉↱≁(⪩⨒∯1000121∘⪩⨒∯2020310⪶≀⋏⪩⨒∯132100⊉↱≁⪩⨒∯101132))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1424,"operation_count":15,"complexity_ratio":94.93333333333334,"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":7434,"base":4},"right_expr":{"type":"numeric_atoms","value":3867,"base":4}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4553,"base":4},"right_expr":{"type":"numeric_atoms","value":1908,"base":4}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1201,"base":4},"right_expr":{"type":"numeric_atoms","value":1450,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2393,"base":4},"right_expr":{"type":"numeric_atoms","value":3196,"base":4}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4053,"base":4},"right_expr":{"type":"numeric_atoms","value":1003,"base":4}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1051,"base":4},"right_expr":{"type":"numeric_atoms","value":1986,"base":4}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":4121,"base":4},"right_expr":{"type":"numeric_atoms","value":8756,"base":4}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1936,"base":4},"right_expr":{"type":"numeric_atoms","value":1118,"base":4}}}}},"used_operators":["RabNbG55vr","tmPS8pqC7x","9HNa5Wba9A","B5M0gjZbta","D3AQDKkPcf","aBQ6xLxuTc","NTOWxs364D","0KMCeP1Jsh","w2P8NbNXyL","JwTKLfZU96","vkpjKywKVM","zR4jO40bMj","Z5m6OM72h2"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rJVOvQCfKK","W4YGzv6Whe","rGHVDoGpnC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7434","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=7434, right_input=3867, 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=4553","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=1908, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1908","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1908, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1201","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=1450, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2772","layer":3},{"info":"number node, value=2393","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=2393, right_input=3196, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-21454","layer":3},{"info":"compute binary expreesion, left_input=-2772, right_input=-21454, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-670, 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":"number node, value=4053","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=4053, right_input=1003, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1986, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2087286","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=2087286, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=4121","layer":4},{"info":"number node, value=8756","layer":4},{"info":"compute binary expreesion, left_input=4121, right_input=8756, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8242","layer":3},{"info":"number node, value=1936","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=1118, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=12600","layer":3},{"info":"compute binary expreesion, left_input=8242, right_input=12600, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-50158","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-50158, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=300896","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=300896, 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":4,"result_base":4,"text":"((⪩⨒∯1310022↬⪩⨒∯330123*(⪩⨒∯1013021∷⪩⨒∯131310))⨪↰⇹(⪩⨒∯102301⩚⊴⇥⪩⨒∯112222)⇂≾⫗(⪩⨒∯211121≨⪩⨒∯301330))⫣⪄⊒((⪩⨒∯333111⇮⋭⪩⨒∯33223)↳≱(⪩⨒∯100123*⪩⨒∯133002)⊉↱≁(⪩⨒∯1000121∘⪩⨒∯2020310⪶≀⋏⪩⨒∯132100⊉↱≁⪩⨒∯101132))=NaN","reverse_text":"NaN=((⪩⨒∯1310022↬⪩⨒∯330123*(⪩⨒∯1013021∷⪩⨒∯131310))⨪↰⇹(⪩⨒∯102301⩚⊴⇥⪩⨒∯112222)⇂≾⫗(⪩⨒∯211121≨⪩⨒∯301330))⫣⪄⊒((⪩⨒∯333111⇮⋭⪩⨒∯33223)↳≱(⪩⨒∯100123*⪩⨒∯133002)⊉↱≁(⪩⨒∯1000121∘⪩⨒∯2020310⪶≀⋏⪩⨒∯132100⊉↱≁⪩⨒∯101132))","cot":[{"info":"⪩⨒∯1310022↬⪩⨒∯330123=NaN","layer":3},{"info":"⪩⨒∯1013021∷⪩⨒∯131310=⪩⨒∯131310","layer":3},{"info":"NaN*⪩⨒∯131310=NaN","layer":2},{"info":"⪩⨒∯102301⩚⊴⇥⪩⨒∯112222=⪩⨒∯-223110","layer":3},{"info":"⪩⨒∯211121≨⪩⨒∯301330=⪩⨒∯-11033032","layer":3},{"info":"⪩⨒∯-223110⇂≾⫗⪩⨒∯-11033032=⪩⨒∯-22132","layer":2},{"info":"NaN⨪↰⇹⪩⨒∯-22132=NaN","layer":1},{"info":"⪩⨒∯333111⇮⋭⪩⨒∯33223=⪩⨒∯-13121","layer":3},{"info":"⪩⨒∯100123*⪩⨒∯133002=⪩⨒∯13331211312","layer":3},{"info":"⪩⨒∯-13121↳≱⪩⨒∯13331211312=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1000121∘⪩⨒∯2020310=⪩⨒∯2000302","layer":3},{"info":"⪩⨒∯132100⊉↱≁⪩⨒∯101132=⪩⨒∯3010320","layer":3},{"info":"⪩⨒∯2000302⪶≀⋏⪩⨒∯3010320=⪩⨒∯-30033232","layer":2},{"info":"⪩⨒∯0⊉↱≁⪩⨒∯-30033232=⪩⨒∯1021131200","layer":1},{"info":"NaN⫣⪄⊒⪩⨒∯1021131200=NaN","layer":0}]}
{"id":24,"expression_no_base_symbol":"((≪$1414$)⋕⪉⪜($1954$⨟⋌⩍$4039$)⩵∡(($4576$⋭≵$1002$)≀⩗∶$2654$↼⊘⨖$3476$))≚⊃≕(($1030$/$1989$)∊∟⩊($7719$⩷∴$2516$)⫦⪉($5703$≎⊠⪸$3109$)⩍⋽⫝̸($1057$≃$4274$))","expression":"((≪⪩⨒∯112012)⋕⪉⪜(⪩⨒∯132202⨟⋌⩍⪩⨒∯333013)⩵∡((⪩⨒∯1013200⋭≵⪩⨒∯33222)≀⩗∶⪩⨒∯221132↼⊘⨖⪩⨒∯312110))≚⊃≕((⪩⨒∯100012/⪩⨒∯133011)∊∟⩊(⪩⨒∯1320213⩷∴⪩⨒∯213110)⫦⪉(⪩⨒∯1121013≎⊠⪸⪩⨒∯300211)⩍⋽⫝̸(⪩⨒∯100201≃⪩⨒∯1002302))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":598,"operation_count":15,"complexity_ratio":39.86666666666667,"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":1414,"base":4}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1954,"base":4},"right_expr":{"type":"numeric_atoms","value":4039,"base":4}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4576,"base":4},"right_expr":{"type":"numeric_atoms","value":1002,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2654,"base":4},"right_expr":{"type":"numeric_atoms","value":3476,"base":4}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1030,"base":4},"right_expr":{"type":"numeric_atoms","value":1989,"base":4}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7719,"base":4},"right_expr":{"type":"numeric_atoms","value":2516,"base":4}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5703,"base":4},"right_expr":{"type":"numeric_atoms","value":3109,"base":4}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1057,"base":4},"right_expr":{"type":"numeric_atoms","value":4274,"base":4}}}}},"used_operators":["Bmrmz2XGnR","Y7wcNGrDQJ","z6LnFrNh4i","Qtd6bqUJcN","rGHVDoGpnC","8INZBEW696","jBncVCNhdl","bPywburJMS","wscyQdcy20","ddLRYrp01A","XhwjNDsVaA","9FxExcQeMw","BiWNJpBvwn","bJkvcejdHO","YbVcJGFEVW"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","Tcnh7f0tEr","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","rysDP5nf3Z","Ph9nP6C5qx","xUOZtlo3hN","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⪩⨒∯-20211222","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1414","layer":4},{"info":"compute unary expreesion, input=1414, 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=1954","layer":4},{"info":"number node, value=4039","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=4039, 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=913, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=4576","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=4576, right_input=1002, 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=2654","layer":4},{"info":"number node, value=3476","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=3476, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6730","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=6730, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-300","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=-300, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-829","layer":1},{"info":"number node, value=1030","layer":4},{"info":"number node, value=1989","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=1989, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=7719","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=7719, right_input=2516, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10374","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10374, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=10374","layer":2},{"info":"number node, value=5703","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=5703, right_input=3109, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1476604","layer":3},{"info":"number node, value=1057","layer":4},{"info":"number node, value=4274","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=4274, 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=-4268","layer":3},{"info":"compute binary expreesion, left_input=1476604, right_input=-4268, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1480399","layer":2},{"info":"compute binary expreesion, left_input=10374, right_input=1480399, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-15848","layer":1},{"info":"compute binary expreesion, left_input=-829, right_input=-15848, 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=-35178","layer":0}],"base":4,"result_base":4,"text":"((≪⪩⨒∯112012)⋕⪉⪜(⪩⨒∯132202⨟⋌⩍⪩⨒∯333013)⩵∡((⪩⨒∯1013200⋭≵⪩⨒∯33222)≀⩗∶⪩⨒∯221132↼⊘⨖⪩⨒∯312110))≚⊃≕((⪩⨒∯100012/⪩⨒∯133011)∊∟⩊(⪩⨒∯1320213⩷∴⪩⨒∯213110)⫦⪉(⪩⨒∯1121013≎⊠⪸⪩⨒∯300211)⩍⋽⫝̸(⪩⨒∯100201≃⪩⨒∯1002302))=⪩⨒∯-20211222","reverse_text":"⪩⨒∯-20211222=((≪⪩⨒∯112012)⋕⪉⪜(⪩⨒∯132202⨟⋌⩍⪩⨒∯333013)⩵∡((⪩⨒∯1013200⋭≵⪩⨒∯33222)≀⩗∶⪩⨒∯221132↼⊘⨖⪩⨒∯312110))≚⊃≕((⪩⨒∯100012/⪩⨒∯133011)∊∟⩊(⪩⨒∯1320213⩷∴⪩⨒∯213110)⫦⪉(⪩⨒∯1121013≎⊠⪸⪩⨒∯300211)⩍⋽⫝̸(⪩⨒∯100201≃⪩⨒∯1002302))","cot":[{"info":"≪⪩⨒∯112012=⪩⨒∯32101","layer":3},{"info":"⪩⨒∯132202⨟⋌⩍⪩⨒∯333013=NaN","layer":3},{"info":"⪩⨒∯32101⋕⪉⪜NaN=⪩⨒∯3030","layer":2},{"info":"⪩⨒∯1013200⋭≵⪩⨒∯33222=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯221132↼⊘⨖⪩⨒∯312110=⪩⨒∯1221022","layer":3},{"info":"⪩⨒∯1003≀⩗∶⪩⨒∯1221022=⪩⨒∯-10230","layer":2},{"info":"⪩⨒∯3030⩵∡⪩⨒∯-10230=⪩⨒∯-30331","layer":1},{"info":"⪩⨒∯100012/⪩⨒∯133011=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1320213⩷∴⪩⨒∯213110=⪩⨒∯2202012","layer":3},{"info":"⪩⨒∯0∊∟⩊⪩⨒∯2202012=⪩⨒∯2202012","layer":2},{"info":"⪩⨒∯1121013≎⊠⪸⪩⨒∯300211=⪩⨒∯11220133330","layer":3},{"info":"⪩⨒∯100201≃⪩⨒∯1002302=⪩⨒∯-1002230","layer":3},{"info":"⪩⨒∯11220133330⩍⋽⫝̸⪩⨒∯-1002230=⪩⨒∯11221123033","layer":2},{"info":"⪩⨒∯2202012⫦⪉⪩⨒∯11221123033=⪩⨒∯-3313220","layer":1},{"info":"⪩⨒∯-30331≚⊃≕⪩⨒∯-3313220=⪩⨒∯-20211222","layer":0}]}
{"id":25,"expression_no_base_symbol":"(($1077$⋆⋳)⇼⇔∾$1004$⋓$1023$)⪃⊛⇣(($2746$⊔$3686$)↞⋁($8020$⨟⋌⩍$1420$))⨸((⊖$3794$⪎↠$1036$)↬⩅∪)","expression":"((⪩⨒∯100311⋆⋳)⇼⇔∾⪩⨒∯33230⋓⪩⨒∯33333)⪃⊛⇣((⪩⨒∯222322⊔⪩⨒∯321212)↞⋁(⪩⨒∯1331110⨟⋌⩍⪩⨒∯112030))⨸((⊖⪩⨒∯323102⪎↠⪩⨒∯100030)↬⩅∪)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2160,"operation_count":11,"complexity_ratio":196.36363636363637,"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":1077,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1004,"base":4},"right_expr":{"type":"numeric_atoms","value":1023,"base":4}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2746,"base":4},"right_expr":{"type":"numeric_atoms","value":3686,"base":4}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8020,"base":4},"right_expr":{"type":"numeric_atoms","value":1420,"base":4}}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":3794,"base":4},"right_expr":{"type":"numeric_atoms","value":1036,"base":4}}}}},"used_operators":["KmoU8R5UQR","rrgAzCduG9","tifHPKVTfV","6MpZysEj17","T2fj7uvVaJ","RqrPlJkxDo","E4l6HwMY31","rGHVDoGpnC","VJ330n2nnx","U6pG0PXrV3","3tVxb0NHM4"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Tcnh7f0tEr","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⪩⨒∯212210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-2186","layer":3},{"info":"number node, value=1004","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1023, 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=-2186, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2186","layer":2},{"info":"number node, value=2746","layer":4},{"info":"number node, value=3686","layer":4},{"info":"compute binary expreesion, left_input=2746, right_input=3686, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=21522","layer":3},{"info":"number node, value=8020","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=8020, right_input=1420, 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=21522, right_input=nan, 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=2186, 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=3794","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=3794, right_input=1036, 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 = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=-480","layer":2},{"info":"compute unary expreesion, input=-480, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=1440","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=1440, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2468","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯100311⋆⋳)⇼⇔∾⪩⨒∯33230⋓⪩⨒∯33333)⪃⊛⇣((⪩⨒∯222322⊔⪩⨒∯321212)↞⋁(⪩⨒∯1331110⨟⋌⩍⪩⨒∯112030))⨸((⊖⪩⨒∯323102⪎↠⪩⨒∯100030)↬⩅∪)=⪩⨒∯212210","reverse_text":"⪩⨒∯212210=((⪩⨒∯100311⋆⋳)⇼⇔∾⪩⨒∯33230⋓⪩⨒∯33333)⪃⊛⇣((⪩⨒∯222322⊔⪩⨒∯321212)↞⋁(⪩⨒∯1331110⨟⋌⩍⪩⨒∯112030))⨸((⊖⪩⨒∯323102⪎↠⪩⨒∯100030)↬⩅∪)","cot":[{"info":"⪩⨒∯100311⋆⋳=⪩⨒∯-202022","layer":3},{"info":"⪩⨒∯33230⋓⪩⨒∯33333=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-202022⇼⇔∾⪩⨒∯0=⪩⨒∯202022","layer":2},{"info":"⪩⨒∯222322⊔⪩⨒∯321212=⪩⨒∯11100102","layer":3},{"info":"⪩⨒∯1331110⨟⋌⩍⪩⨒∯112030=NaN","layer":3},{"info":"⪩⨒∯11100102↞⋁NaN=NaN","layer":2},{"info":"⪩⨒∯202022⪃⊛⇣NaN=⪩⨒∯103102","layer":1},{"info":"⪩⨒∯323102⪎↠⪩⨒∯100030=⪩⨒∯2200","layer":3},{"info":"⊖⪩⨒∯2200=⪩⨒∯-13200","layer":2},{"info":"⪩⨒∯-13200↬⩅∪=⪩⨒∯112200","layer":1},{"info":"⪩⨒∯103102⨸⪩⨒∯112200=⪩⨒∯212210","layer":0}]}
{"id":26,"expression_no_base_symbol":"((($1763$⪨⊡$2041$)⋝⋈⪟(⊢≑≆$1030$))⫽⇹≛)⋹⋡⊁(⇵⪽($1843$⩌⋺$4931$≚⊃≕($2386$⪒$5738$)))","expression":"(((⪩⨒∯123203⪨⊡⪩⨒∯133321)⋝⋈⪟(⊢≑≆⪩⨒∯100012))⫽⇹≛)⋹⋡⊁(⇵⪽(⪩⨒∯130303⩌⋺⪩⨒∯1031003≚⊃≕(⪩⨒∯211102⪒⪩⨒∯1121222)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":109,"operation_count":9,"complexity_ratio":12.11111111111111,"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":1763,"base":4},"right_expr":{"type":"numeric_atoms","value":2041,"base":4}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1030,"base":4}}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1843,"base":4},"right_expr":{"type":"numeric_atoms","value":4931,"base":4}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2386,"base":4},"right_expr":{"type":"numeric_atoms","value":5738,"base":4}}}}},"used_operators":["As8RqfVLgs","NNaDxxp6OQ","2DDjHMKMc0","kuIXHzHcAH","27wFxooxGf","ZGCBLdVRRX","Bmrmz2XGnR","g7Hmc5v1ko","f6k1SAg4EE"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","U7g4x0WXJJ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯10023033","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1763","layer":4},{"info":"number node, value=2041","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=2041, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4572","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4572, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":1},{"info":"number node, value=1843","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=4931, 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=-6895","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=5738","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=5738, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8124","layer":3},{"info":"compute binary expreesion, left_input=-6895, right_input=-8124, 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=-43994","layer":2},{"info":"compute unary expreesion, input=-43994, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=272, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=17103","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯123203⪨⊡⪩⨒∯133321)⋝⋈⪟(⊢≑≆⪩⨒∯100012))⫽⇹≛)⋹⋡⊁(⇵⪽(⪩⨒∯130303⩌⋺⪩⨒∯1031003≚⊃≕(⪩⨒∯211102⪒⪩⨒∯1121222)))=⪩⨒∯10023033","reverse_text":"⪩⨒∯10023033=(((⪩⨒∯123203⪨⊡⪩⨒∯133321)⋝⋈⪟(⊢≑≆⪩⨒∯100012))⫽⇹≛)⋹⋡⊁(⇵⪽(⪩⨒∯130303⩌⋺⪩⨒∯1031003≚⊃≕(⪩⨒∯211102⪒⪩⨒∯1121222)))","cot":[{"info":"⪩⨒∯123203⪨⊡⪩⨒∯133321=⪩⨒∯0","layer":3},{"info":"⊢≑≆⪩⨒∯100012=⪩⨒∯1013130","layer":3},{"info":"⪩⨒∯0⋝⋈⪟⪩⨒∯1013130=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⫽⇹≛=⪩⨒∯10100","layer":1},{"info":"⪩⨒∯130303⩌⋺⪩⨒∯1031003=⪩⨒∯-1223233","layer":3},{"info":"⪩⨒∯211102⪒⪩⨒∯1121222=⪩⨒∯-1332330","layer":3},{"info":"⪩⨒∯-1223233≚⊃≕⪩⨒∯-1332330=⪩⨒∯-22233122","layer":2},{"info":"⇵⪽⪩⨒∯-22233122=NaN","layer":1},{"info":"⪩⨒∯10100⋹⋡⊁NaN=⪩⨒∯10023033","layer":0}]}
{"id":27,"expression_no_base_symbol":"($4901$⪛$3686$⋅⇍($3962$⊍⩺⋍$3073$)∖(($1293$⇄$2694$)≫≃))⨶","expression":"(⪩⨒∯1030211⪛⪩⨒∯321212⋅⇍(⪩⨒∯331322⊍⩺⋍⪩⨒∯300001)∖((⪩⨒∯110031⇄⪩⨒∯222012)≫≃))⨶","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":533,"operation_count":7,"complexity_ratio":76.14285714285714,"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":4901,"base":4},"right_expr":{"type":"numeric_atoms","value":3686,"base":4}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3962,"base":4},"right_expr":{"type":"numeric_atoms","value":3073,"base":4}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1293,"base":4},"right_expr":{"type":"numeric_atoms","value":2694,"base":4}}}}},"used_operators":["rFxw8gIMmB","tXD093vOjl","AdZkA7nFnk","uFcxV4UQCh","OXDGMFPWZM","X99M06cbEe","3EYGwJThht"],"dependent_operators":["f6k1SAg4EE","Qy55tPpLXF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⪩⨒∯-123102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4901","layer":4},{"info":"number node, value=3686","layer":4},{"info":"compute binary expreesion, left_input=4901, right_input=3686, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1215","layer":3},{"info":"number node, value=3962","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=3962, right_input=3073, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1215, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1788","layer":2},{"info":"number node, value=1293","layer":4},{"info":"number node, value=2694","layer":4},{"info":"compute binary expreesion, left_input=1293, right_input=2694, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=-1788, right_input=1401, 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 = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-1746","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1030211⪛⪩⨒∯321212⋅⇍(⪩⨒∯331322⊍⩺⋍⪩⨒∯300001)∖((⪩⨒∯110031⇄⪩⨒∯222012)≫≃))⨶=⪩⨒∯-123102","reverse_text":"⪩⨒∯-123102=(⪩⨒∯1030211⪛⪩⨒∯321212⋅⇍(⪩⨒∯331322⊍⩺⋍⪩⨒∯300001)∖((⪩⨒∯110031⇄⪩⨒∯222012)≫≃))⨶","cot":[{"info":"⪩⨒∯1030211⪛⪩⨒∯321212=⪩⨒∯102333","layer":3},{"info":"⪩⨒∯331322⊍⩺⋍⪩⨒∯300001=NaN","layer":3},{"info":"⪩⨒∯102333⋅⇍NaN=⪩⨒∯-123330","layer":2},{"info":"⪩⨒∯110031⇄⪩⨒∯222012=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0≫≃=⪩⨒∯111321","layer":2},{"info":"⪩⨒∯-123330∖⪩⨒∯111321=⪩⨒∯0","layer":1},{"info":"⪩⨒∯0⨶=⪩⨒∯-123102","layer":0}]}
{"id":28,"expression_no_base_symbol":"(∓($4208$⨔≚≋$1939$))≨((⊑$1765$)⫃⨇$6122$∥⊢⊲$2164$)∠↢(⊑$1095$⊢$2725$)⇷((↡$2687$)⨽$3642$⪟⇏$2306$)","expression":"(∓(⪩⨒∯1001300⨔≚≋⪩⨒∯132103))≨((⊑⪩⨒∯123211)⫃⨇⪩⨒∯1133222∥⊢⊲⪩⨒∯201310)∠↢(⊑⪩⨒∯101013⊢⪩⨒∯222211)⇷((↡⪩⨒∯221333)⨽⪩⨒∯320322⪟⇏⪩⨒∯210002)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":946310,"operation_count":13,"complexity_ratio":72793.07692307692,"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":4208,"base":4},"right_expr":{"type":"numeric_atoms","value":1939,"base":4}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1765,"base":4}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":6122,"base":4},"right_expr":{"type":"numeric_atoms","value":2164,"base":4}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1095,"base":4},"right_expr":{"type":"numeric_atoms","value":2725,"base":4}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2687,"base":4}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":3642,"base":4},"right_expr":{"type":"numeric_atoms","value":2306,"base":4}}}}},"used_operators":["KbjG8mgYpV","0KMCeP1Jsh","OwUj7dcsQK","Z57zeUYC9z","09Ly4LVMIf","IkUmn0D7oy","v1UQAVDJRr","mp7IySMOzn","5twsqlHp2o","8HhzD0ZcuI","MXaNJeIAZ3","GODebY97qR"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","EBcxylXtPf","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4208","layer":4},{"info":"number node, value=1939","layer":4},{"info":"compute binary expreesion, left_input=4208, right_input=1939, 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 = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-152952","layer":2},{"info":"number node, value=1765","layer":4},{"info":"compute unary expreesion, input=1765, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=6122","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=6122, right_input=2164, 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=192, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-152952, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=306560","layer":1},{"info":"number node, value=1095","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=2725, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2434","layer":3},{"info":"compute unary expreesion, input=-2434, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=2687","layer":4},{"info":"compute unary expreesion, input=2687, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=24183","layer":3},{"info":"number node, value=3642","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=2306, 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=24183, right_input=-1, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1754451150","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-1754451150, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=306560, 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":4,"result_base":4,"text":"(∓(⪩⨒∯1001300⨔≚≋⪩⨒∯132103))≨((⊑⪩⨒∯123211)⫃⨇⪩⨒∯1133222∥⊢⊲⪩⨒∯201310)∠↢(⊑⪩⨒∯101013⊢⪩⨒∯222211)⇷((↡⪩⨒∯221333)⨽⪩⨒∯320322⪟⇏⪩⨒∯210002)=NaN","reverse_text":"NaN=(∓(⪩⨒∯1001300⨔≚≋⪩⨒∯132103))≨((⊑⪩⨒∯123211)⫃⨇⪩⨒∯1133222∥⊢⊲⪩⨒∯201310)∠↢(⊑⪩⨒∯101013⊢⪩⨒∯222211)⇷((↡⪩⨒∯221333)⨽⪩⨒∯320322⪟⇏⪩⨒∯210002)","cot":[{"info":"⪩⨒∯1001300⨔≚≋⪩⨒∯132103=⪩⨒∯2122100","layer":3},{"info":"∓⪩⨒∯2122100=⪩⨒∯-211111320","layer":2},{"info":"⊑⪩⨒∯123211=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯1133222∥⊢⊲⪩⨒∯201310=NaN","layer":3},{"info":"⪩⨒∯3000⫃⨇NaN=NaN","layer":2},{"info":"⪩⨒∯-211111320≨NaN=⪩⨒∯1022312000","layer":1},{"info":"⪩⨒∯101013⊢⪩⨒∯222211=⪩⨒∯-212002","layer":3},{"info":"⊑⪩⨒∯-212002=⪩⨒∯3000","layer":2},{"info":"↡⪩⨒∯221333=⪩⨒∯11321313","layer":3},{"info":"⪩⨒∯320322⪟⇏⪩⨒∯210002=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯11321313⨽⪩⨒∯-1=⪩⨒∯-1220210230303032","layer":2},{"info":"⪩⨒∯3000⇷⪩⨒∯-1220210230303032=NaN","layer":1},{"info":"⪩⨒∯1022312000∠↢NaN=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"(⋣(⇘($4497$∣$1043$)))⩵∡(⇺⋃$2884$)∓⋝($1195$⫡⨏$2661$)⨔≚≋(⊀$1555$⇂≾⫗$6695$)","expression":"(⋣(⇘(⪩⨒∯1012101∣⪩⨒∯100103)))⩵∡(⇺⋃⪩⨒∯231010)∓⋝(⪩⨒∯102223⫡⨏⪩⨒∯221211)⨔≚≋(⊀⪩⨒∯120103⇂≾⫗⪩⨒∯1220213)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9417,"operation_count":10,"complexity_ratio":941.7,"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":4497,"base":4},"right_expr":{"type":"numeric_atoms","value":1043,"base":4}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2884,"base":4}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1195,"base":4},"right_expr":{"type":"numeric_atoms","value":2661,"base":4}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1555,"base":4},"right_expr":{"type":"numeric_atoms","value":6695,"base":4}}}}},"used_operators":["Y7wcNGrDQJ","zQWRhDnn8F","MGuIdZPyUC","PPChnnnBFF","Z57zeUYC9z","PoHhknlbAi","E5v5B3UAjG","QMFrweE19q","oPMjh9089D","aBQ6xLxuTc"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"⪩⨒∯31320210302032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4497","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=4497, right_input=1043, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4497","layer":3},{"info":"compute unary expreesion, input=4497, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=264202","layer":2},{"info":"compute unary expreesion, input=264202, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-77675293","layer":1},{"info":"number node, value=2884","layer":4},{"info":"compute unary expreesion, input=2884, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=2661, 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=12080","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12080, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"number node, value=1555","layer":4},{"info":"number node, value=6695","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=6695, 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 = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=10923","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=10923, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-91216","layer":1},{"info":"compute binary expreesion, left_input=-77675293, right_input=-91216, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=232934542","layer":0}],"base":4,"result_base":4,"text":"(⋣(⇘(⪩⨒∯1012101∣⪩⨒∯100103)))⩵∡(⇺⋃⪩⨒∯231010)∓⋝(⪩⨒∯102223⫡⨏⪩⨒∯221211)⨔≚≋(⊀⪩⨒∯120103⇂≾⫗⪩⨒∯1220213)=⪩⨒∯31320210302032","reverse_text":"⪩⨒∯31320210302032=(⋣(⇘(⪩⨒∯1012101∣⪩⨒∯100103)))⩵∡(⇺⋃⪩⨒∯231010)∓⋝(⪩⨒∯102223⫡⨏⪩⨒∯221211)⨔≚≋(⊀⪩⨒∯120103⇂≾⫗⪩⨒∯1220213)","cot":[{"info":"⪩⨒∯1012101∣⪩⨒∯100103=⪩⨒∯1012101","layer":3},{"info":"⇘⪩⨒∯1012101=⪩⨒∯1000200022","layer":2},{"info":"⋣⪩⨒∯1000200022=⪩⨒∯-10220103230131","layer":1},{"info":"⇺⋃⪩⨒∯231010=NaN","layer":3},{"info":"⪩⨒∯102223⫡⨏⪩⨒∯221211=⪩⨒∯2330300","layer":3},{"info":"NaN∓⋝⪩⨒∯2330300=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯120103⇂≾⫗⪩⨒∯1220213=⪩⨒∯-22210","layer":3},{"info":"⊀⪩⨒∯-22210=⪩⨒∯2222223","layer":2},{"info":"⪩⨒∯1003⨔≚≋⪩⨒∯2222223=⪩⨒∯-112101100","layer":1},{"info":"⪩⨒∯-10220103230131⩵∡⪩⨒∯-112101100=⪩⨒∯31320210302032","layer":0}]}
{"id":30,"expression_no_base_symbol":"⨵≀≌(($1013$⫔⩽⩺$1956$)⫲≸⪮($4987$⪔$1291$))⩘(($2990$⨫⇇↔$6949$)⇚⪠)","expression":"⨵≀≌((⪩⨒∯33311⫔⩽⩺⪩⨒∯132210)⫲≸⪮(⪩⨒∯1031323⪔⪩⨒∯110023))⩘((⪩⨒∯232232⨫⇇↔⪩⨒∯1230211)⇚⪠)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2212,"operation_count":7,"complexity_ratio":316.0,"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":1013,"base":4},"right_expr":{"type":"numeric_atoms","value":1956,"base":4}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":4987,"base":4},"right_expr":{"type":"numeric_atoms","value":1291,"base":4}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2990,"base":4},"right_expr":{"type":"numeric_atoms","value":6949,"base":4}}}}},"used_operators":["srAu1WTS94","cHh1gJQ2o6","P3lXMJvFrc","i9eR4S00cU","GjBEYRfMaF","Loh9y4A90B","LXhwmt4mBO"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Tw270M8GLb","fu6greOZ01","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⪩⨒∯12100000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1013","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1956, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=4987","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=4987, right_input=1291, 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 = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"number node, value=2990","layer":4},{"info":"number node, value=6949","layer":4},{"info":"compute binary expreesion, left_input=2990, right_input=6949, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=-477989","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-477989, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":0}],"base":4,"result_base":4,"text":"⨵≀≌((⪩⨒∯33311⫔⩽⩺⪩⨒∯132210)⫲≸⪮(⪩⨒∯1031323⪔⪩⨒∯110023))⩘((⪩⨒∯232232⨫⇇↔⪩⨒∯1230211)⇚⪠)=⪩⨒∯12100000","reverse_text":"⪩⨒∯12100000=⨵≀≌((⪩⨒∯33311⫔⩽⩺⪩⨒∯132210)⫲≸⪮(⪩⨒∯1031323⪔⪩⨒∯110023))⩘((⪩⨒∯232232⨫⇇↔⪩⨒∯1230211)⇚⪠)","cot":[{"info":"⪩⨒∯33311⫔⩽⩺⪩⨒∯132210=NaN","layer":3},{"info":"⪩⨒∯1031323⪔⪩⨒∯110023=⪩⨒∯13002","layer":3},{"info":"NaN⫲≸⪮⪩⨒∯13002=NaN","layer":2},{"info":"⪩⨒∯232232⨫⇇↔⪩⨒∯1230211=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯-20033⇚⪠=⪩⨒∯-1310230211","layer":2},{"info":"NaN⩘⪩⨒∯-1310230211=⪩⨒∯2200","layer":1},{"info":"⨵≀≌⪩⨒∯2200=⪩⨒∯12100000","layer":0}]}
{"id":31,"expression_no_base_symbol":"↑(⩰(($2485$∠⫱$1617$)⇟⨁⪰))","expression":"↑(⩰((⪩⨒∯212311∠⫱⪩⨒∯121101)⇟⨁⪰))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":67,"operation_count":4,"complexity_ratio":16.75,"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":2485,"base":4},"right_expr":{"type":"numeric_atoms","value":1617,"base":4}}}}},"used_operators":["tR7O2zTn5j","WkeUrDK8WX","BX1lVwlMe0","QvoQhV0rrE"],"dependent_operators":["oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","2DDjHMKMc0","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⪩⨒∯3000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2485","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=1617, 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 = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1408","layer":2},{"info":"compute unary expreesion, input=-1408, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=1816","layer":1},{"info":"compute unary expreesion, input=1816, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":0}],"base":4,"result_base":4,"text":"↑(⩰((⪩⨒∯212311∠⫱⪩⨒∯121101)⇟⨁⪰))=⪩⨒∯3000","reverse_text":"⪩⨒∯3000=↑(⩰((⪩⨒∯212311∠⫱⪩⨒∯121101)⇟⨁⪰))","cot":[{"info":"⪩⨒∯212311∠⫱⪩⨒∯121101=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯103102⇟⨁⪰=⪩⨒∯-112000","layer":2},{"info":"⩰⪩⨒∯-112000=⪩⨒∯130120","layer":1},{"info":"↑⪩⨒∯130120=⪩⨒∯3000","layer":0}]}
{"id":32,"expression_no_base_symbol":"→⩰(↔(⋣(≉$2532$)))","expression":"→⩰(↔(⋣(≉⪩⨒∯213210)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":500,"operation_count":4,"complexity_ratio":125.0,"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":2532,"base":4}}}}},"used_operators":["o8Pngz0Tml","ruOEQAzv1W","zQWRhDnn8F","e1ybzncUwg"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2532","layer":4},{"info":"compute unary expreesion, input=2532, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3063","layer":3},{"info":"compute unary expreesion, input=3063, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-900427","layer":2},{"info":"compute unary expreesion, input=-900427, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"→⩰(↔(⋣(≉⪩⨒∯213210)))=NaN","reverse_text":"NaN=→⩰(↔(⋣(≉⪩⨒∯213210)))","cot":[{"info":"≉⪩⨒∯213210=⪩⨒∯233313","layer":3},{"info":"⋣⪩⨒∯233313=⪩⨒∯-3123311023","layer":2},{"info":"↔⪩⨒∯-3123311023=⪩⨒∯-2012","layer":1},{"info":"→⩰⪩⨒∯-2012=NaN","layer":0}]}
{"id":33,"expression_no_base_symbol":"((∮$4973$)⪚⩙≫)⋅⇍(≇⪴$1491$⫯⪬∳$1168$)↙(($1068$⫌⩹⨱)∝$6229$⪨⊡$2025$⨳⩥⨓($2702$⫿)∥⊢⊲($4976$∠⫱$6252$))","expression":"((∮⪩⨒∯1031231)⪚⩙≫)⋅⇍(≇⪴⪩⨒∯113103⫯⪬∳⪩⨒∯102100)↙((⪩⨒∯100230⫌⩹⨱)∝⪩⨒∯1201111⪨⊡⪩⨒∯133221⨳⩥⨓(⪩⨒∯222032⫿)∥⊢⊲(⪩⨒∯1031300∠⫱⪩⨒∯1201230))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":398,"operation_count":13,"complexity_ratio":30.615384615384617,"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":4973,"base":4}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1491,"base":4},"right_expr":{"type":"numeric_atoms","value":1168,"base":4}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1068,"base":4}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":6229,"base":4},"right_expr":{"type":"numeric_atoms","value":2025,"base":4}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2702,"base":4}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4976,"base":4},"right_expr":{"type":"numeric_atoms","value":6252,"base":4}}}}},"used_operators":["yyfyN0ffXY","AdZkA7nFnk","4n53wtyJvv","CqXKPLVYql","zoVPnxeHJ3","d7ASUq0ydm","nCS4ZIUYfx","cTDWOvIxvz","EBcxylXtPf","kuIXHzHcAH","v1UQAVDJRr","9tKT6PmtkH","QvoQhV0rrE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","rysDP5nf3Z","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4973","layer":4},{"info":"compute unary expreesion, input=4973, 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 = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"number node, value=1491","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=1168, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6320","layer":3},{"info":"compute unary expreesion, input=6320, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-17620","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-17620, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=nan","layer":1},{"info":"number node, value=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3537","layer":3},{"info":"number node, value=6229","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=6229, right_input=2025, 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=3537, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3542","layer":2},{"info":"number node, value=2702","layer":4},{"info":"compute unary expreesion, input=2702, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2702","layer":3},{"info":"number node, value=4976","layer":4},{"info":"number node, value=6252","layer":4},{"info":"compute binary expreesion, left_input=4976, right_input=6252, 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=2702, right_input=1234, 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=3542, 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=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((∮⪩⨒∯1031231)⪚⩙≫)⋅⇍(≇⪴⪩⨒∯113103⫯⪬∳⪩⨒∯102100)↙((⪩⨒∯100230⫌⩹⨱)∝⪩⨒∯1201111⪨⊡⪩⨒∯133221⨳⩥⨓(⪩⨒∯222032⫿)∥⊢⊲(⪩⨒∯1031300∠⫱⪩⨒∯1201230))=NaN","reverse_text":"NaN=((∮⪩⨒∯1031231)⪚⩙≫)⋅⇍(≇⪴⪩⨒∯113103⫯⪬∳⪩⨒∯102100)↙((⪩⨒∯100230⫌⩹⨱)∝⪩⨒∯1201111⪨⊡⪩⨒∯133221⨳⩥⨓(⪩⨒∯222032⫿)∥⊢⊲(⪩⨒∯1031300∠⫱⪩⨒∯1201230))","cot":[{"info":"∮⪩⨒∯1031231=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1003⪚⩙≫=NaN","layer":2},{"info":"⪩⨒∯113103⫯⪬∳⪩⨒∯102100=⪩⨒∯1202300","layer":3},{"info":"≇⪴⪩⨒∯1202300=⪩⨒∯-10103110","layer":2},{"info":"NaN⋅⇍⪩⨒∯-10103110=NaN","layer":1},{"info":"⪩⨒∯100230⫌⩹⨱=⪩⨒∯313101","layer":3},{"info":"⪩⨒∯1201111⪨⊡⪩⨒∯133221=⪩⨒∯0","layer":3},{"info":"⪩⨒∯313101∝⪩⨒∯0=⪩⨒∯313112","layer":2},{"info":"⪩⨒∯222032⫿=⪩⨒∯222032","layer":3},{"info":"⪩⨒∯1031300∠⫱⪩⨒∯1201230=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯222032∥⊢⊲⪩⨒∯103102=NaN","layer":2},{"info":"⪩⨒∯313112⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":34,"expression_no_base_symbol":"($1928$⊋$2250$⨽$1025$⊱⇼⊻$1837$∪⫐$2380$⨚⇆$1233$*$1809$⫘$7642$)⊉≛↸(⪝⪂⫅($1497$⇉⇱⇎))⨟⋌⩍($2281$↞⋁$3609$⇼⇔∾$1573$⨔⇊$2452$)","expression":"(⪩⨒∯132020⊋⪩⨒∯203022⨽⪩⨒∯100001⊱⇼⊻⪩⨒∯130231∪⫐⪩⨒∯211030⨚⇆⪩⨒∯103101*⪩⨒∯130101⫘⪩⨒∯1313122)⊉≛↸(⪝⪂⫅(⪩⨒∯113121⇉⇱⇎))⨟⋌⩍(⪩⨒∯203221↞⋁⪩⨒∯320121⇼⇔∾⪩⨒∯120211⨔⇊⪩⨒∯212110)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4931453,"operation_count":14,"complexity_ratio":352246.64285714284,"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":1928,"base":4},"right_expr":{"type":"numeric_atoms","value":2250,"base":4}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1025,"base":4},"right_expr":{"type":"numeric_atoms","value":1837,"base":4}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2380,"base":4},"right_expr":{"type":"numeric_atoms","value":1233,"base":4}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1809,"base":4},"right_expr":{"type":"numeric_atoms","value":7642,"base":4}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1497,"base":4}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2281,"base":4},"right_expr":{"type":"numeric_atoms","value":3609,"base":4}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1573,"base":4},"right_expr":{"type":"numeric_atoms","value":2452,"base":4}}}}},"used_operators":["DZ8iAZOCBD","7YooWSwCyH","8HhzD0ZcuI","W4tP9CfskL","FyVja0WsTP","9HNa5Wba9A","lwHaAYXP2r","48vC8HMD2b","rGHVDoGpnC","XTarYq4gQB","MRPaB8lBjK","tifHPKVTfV","RqrPlJkxDo","JclMnS0uGI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","Tcnh7f0tEr","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1928","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=2250, 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=-4911748","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=1837, 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=-4911748, right_input=434, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=2380","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=1233, 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=1809","layer":4},{"info":"number node, value=7642","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=7642, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2131789","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2131789, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-inf","layer":1},{"info":"number node, value=1497","layer":4},{"info":"compute unary expreesion, input=1497, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-1279","layer":3},{"info":"compute unary expreesion, input=-1279, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=188013","layer":2},{"info":"number node, value=2281","layer":4},{"info":"number node, value=3609","layer":4},{"info":"compute binary expreesion, left_input=2281, right_input=3609, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1573","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=2452, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2452","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2452, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=188013, 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=-inf, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯132020⊋⪩⨒∯203022⨽⪩⨒∯100001⊱⇼⊻⪩⨒∯130231∪⫐⪩⨒∯211030⨚⇆⪩⨒∯103101*⪩⨒∯130101⫘⪩⨒∯1313122)⊉≛↸(⪝⪂⫅(⪩⨒∯113121⇉⇱⇎))⨟⋌⩍(⪩⨒∯203221↞⋁⪩⨒∯320121⇼⇔∾⪩⨒∯120211⨔⇊⪩⨒∯212110)=NaN","reverse_text":"NaN=(⪩⨒∯132020⊋⪩⨒∯203022⨽⪩⨒∯100001⊱⇼⊻⪩⨒∯130231∪⫐⪩⨒∯211030⨚⇆⪩⨒∯103101*⪩⨒∯130101⫘⪩⨒∯1313122)⊉≛↸(⪝⪂⫅(⪩⨒∯113121⇉⇱⇎))⨟⋌⩍(⪩⨒∯203221↞⋁⪩⨒∯320121⇼⇔∾⪩⨒∯120211⨔⇊⪩⨒∯212110)","cot":[{"info":"⪩⨒∯132020⊋⪩⨒∯203022=⪩⨒∯-102233022010","layer":3},{"info":"⪩⨒∯100001⊱⇼⊻⪩⨒∯130231=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯-102233022010⨽⪩⨒∯12302=-Inf","layer":2},{"info":"⪩⨒∯211030⨚⇆⪩⨒∯103101=NaN","layer":3},{"info":"⪩⨒∯130101⫘⪩⨒∯1313122=⪩⨒∯20020131031","layer":3},{"info":"NaN*⪩⨒∯20020131031=NaN","layer":2},{"info":"-Inf∪⫐NaN=-Inf","layer":1},{"info":"⪩⨒∯113121⇉⇱⇎=⪩⨒∯-103333","layer":3},{"info":"⪝⪂⫅⪩⨒∯-103333=⪩⨒∯231321231","layer":2},{"info":"⪩⨒∯203221↞⋁⪩⨒∯320121=NaN","layer":3},{"info":"⪩⨒∯120211⨔⇊⪩⨒∯212110=⪩⨒∯212110","layer":3},{"info":"NaN⇼⇔∾⪩⨒∯212110=NaN","layer":2},{"info":"⪩⨒∯231321231⨟⋌⩍NaN=NaN","layer":1},{"info":"-Inf⊉≛↸NaN=NaN","layer":0}]}
{"id":35,"expression_no_base_symbol":"(($1832$⨐$2422$)≁↽≥($5552$≁$1891$)⇗⋫)→⨶⪴(⩦⩻⨪($7414$∺≝⩲$1448$)≁(≉$8150$))","expression":"((⪩⨒∯130220⨐⪩⨒∯211312)≁↽≥(⪩⨒∯1112300≁⪩⨒∯131203)⇗⋫)→⨶⪴(⩦⩻⨪(⪩⨒∯1303312∺≝⩲⪩⨒∯112220)≁(≉⪩⨒∯1333112))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":182,"operation_count":9,"complexity_ratio":20.22222222222222,"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":1832,"base":4},"right_expr":{"type":"numeric_atoms","value":2422,"base":4}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":5552,"base":4},"right_expr":{"type":"numeric_atoms","value":1891,"base":4}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":7414,"base":4},"right_expr":{"type":"numeric_atoms","value":1448,"base":4}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":8150,"base":4}}}}},"used_operators":["bF6eod5Gvf","hpqmaQFPrd","ncHt1X6cMc","Noe24qw2ks","8N2wDY1A35","2td37pGCOC","KPf6cnQVty","e1ybzncUwg"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","rxpJgHHUmx","oWn0xqSxBt","3Oe9XWJUTD","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯-2032323111","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1832","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=1832, right_input=2422, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3664","layer":3},{"info":"number node, value=5552","layer":4},{"info":"number node, value=1891","layer":4},{"info":"compute binary expreesion, left_input=5552, right_input=1891, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=32183","layer":3},{"info":"compute binary expreesion, left_input=-3664, right_input=32183, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-45028","layer":2},{"info":"compute unary expreesion, input=-45028, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"info":"number node, value=7414","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=7414, right_input=1448, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=8150","layer":4},{"info":"compute unary expreesion, input=8150, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=8681","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=8681, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=195143","layer":2},{"info":"compute unary expreesion, input=195143, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=195143","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=195143, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-585429","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯130220⨐⪩⨒∯211312)≁↽≥(⪩⨒∯1112300≁⪩⨒∯131203)⇗⋫)→⨶⪴(⩦⩻⨪(⪩⨒∯1303312∺≝⩲⪩⨒∯112220)≁(≉⪩⨒∯1333112))=⪩⨒∯-2032323111","reverse_text":"⪩⨒∯-2032323111=((⪩⨒∯130220⨐⪩⨒∯211312)≁↽≥(⪩⨒∯1112300≁⪩⨒∯131203)⇗⋫)→⨶⪴(⩦⩻⨪(⪩⨒∯1303312∺≝⩲⪩⨒∯112220)≁(≉⪩⨒∯1333112))","cot":[{"info":"⪩⨒∯130220⨐⪩⨒∯211312=⪩⨒∯-321100","layer":3},{"info":"⪩⨒∯1112300≁⪩⨒∯131203=⪩⨒∯13312313","layer":3},{"info":"⪩⨒∯-321100≁↽≥⪩⨒∯13312313=⪩⨒∯-22333210","layer":2},{"info":"⪩⨒∯-22333210⇗⋫=NaN","layer":1},{"info":"⪩⨒∯1303312∺≝⩲⪩⨒∯112220=⪩⨒∯2200","layer":3},{"info":"≉⪩⨒∯1333112=⪩⨒∯2013221","layer":3},{"info":"⪩⨒∯2200≁⪩⨒∯2013221=⪩⨒∯233221013","layer":2},{"info":"⩦⩻⨪⪩⨒∯233221013=⪩⨒∯233221013","layer":1},{"info":"NaN→⨶⪴⪩⨒∯233221013=⪩⨒∯-2032323111","layer":0}]}
{"id":36,"expression_no_base_symbol":"((∮$2546$)∌↝($1516$≧⫂∧$2730$))⇂≾⫗(⪹($5175$⩅⪻⪻))≦↸((($2495$∪⫐$2689$)⫳≱↱($8321$≬⋮$3116$))⫿)","expression":"((∮⪩⨒∯213302)∌↝(⪩⨒∯113230≧⫂∧⪩⨒∯222222))⇂≾⫗(⪹(⪩⨒∯1100313⩅⪻⪻))≦↸(((⪩⨒∯212333∪⫐⪩⨒∯222001)⫳≱↱(⪩⨒∯2002001≬⋮⪩⨒∯300230))⫿)","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":863,"operation_count":11,"complexity_ratio":78.45454545454545,"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":2546,"base":4}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1516,"base":4},"right_expr":{"type":"numeric_atoms","value":2730,"base":4}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":5175,"base":4}}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2495,"base":4},"right_expr":{"type":"numeric_atoms","value":2689,"base":4}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":8321,"base":4},"right_expr":{"type":"numeric_atoms","value":3116,"base":4}}}}},"used_operators":["RygbFNSyEJ","aBQ6xLxuTc","9Isq31Ruls","CqXKPLVYql","Ph9nP6C5qx","USyYr0JgAa","kHoXpA7yos","9tKT6PmtkH","ZvLB05nZmT","7YooWSwCyH","kbkesczE7y"],"dependent_operators":["eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rJVOvQCfKK","2DDjHMKMc0","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⪩⨒∯103031","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2546","layer":4},{"info":"compute unary expreesion, input=2546, 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=1516","layer":4},{"info":"number node, value=2730","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=2730, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2257","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2257, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-6771","layer":2},{"info":"number node, value=5175","layer":4},{"info":"compute unary expreesion, input=5175, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-765325","layer":3},{"info":"compute unary expreesion, input=-765325, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=765505","layer":2},{"info":"compute binary expreesion, left_input=-6771, right_input=765505, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-682","layer":1},{"info":"number node, value=2495","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=2495, right_input=2689, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2495","layer":3},{"info":"number node, value=8321","layer":4},{"info":"number node, value=3116","layer":4},{"info":"compute binary expreesion, left_input=8321, right_input=3116, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=2495, right_input=868, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute unary expreesion, input=-204, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=408","layer":1},{"info":"compute binary expreesion, left_input=-682, right_input=408, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1229","layer":0}],"base":4,"result_base":4,"text":"((∮⪩⨒∯213302)∌↝(⪩⨒∯113230≧⫂∧⪩⨒∯222222))⇂≾⫗(⪹(⪩⨒∯1100313⩅⪻⪻))≦↸(((⪩⨒∯212333∪⫐⪩⨒∯222001)⫳≱↱(⪩⨒∯2002001≬⋮⪩⨒∯300230))⫿)=⪩⨒∯103031","reverse_text":"⪩⨒∯103031=((∮⪩⨒∯213302)∌↝(⪩⨒∯113230≧⫂∧⪩⨒∯222222))⇂≾⫗(⪹(⪩⨒∯1100313⩅⪻⪻))≦↸(((⪩⨒∯212333∪⫐⪩⨒∯222001)⫳≱↱(⪩⨒∯2002001≬⋮⪩⨒∯300230))⫿)","cot":[{"info":"∮⪩⨒∯213302=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯113230≧⫂∧⪩⨒∯222222=⪩⨒∯203101","layer":3},{"info":"⪩⨒∯1003∌↝⪩⨒∯203101=⪩⨒∯-1221303","layer":2},{"info":"⪩⨒∯1100313⩅⪻⪻=⪩⨒∯-2322312031","layer":3},{"info":"⪹⪩⨒∯-2322312031=⪩⨒∯2322321001","layer":2},{"info":"⪩⨒∯-1221303⇂≾⫗⪩⨒∯2322321001=⪩⨒∯-22222","layer":1},{"info":"⪩⨒∯212333∪⫐⪩⨒∯222001=⪩⨒∯212333","layer":3},{"info":"⪩⨒∯2002001≬⋮⪩⨒∯300230=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯212333⫳≱↱⪩⨒∯31210=⪩⨒∯-3030","layer":2},{"info":"⪩⨒∯-3030⫿=⪩⨒∯12120","layer":1},{"info":"⪩⨒∯-22222≦↸⪩⨒∯12120=⪩⨒∯103031","layer":0}]}
{"id":37,"expression_no_base_symbol":"($1062$≬⋮$1534$)∴($6577$∷$7862$)⨪↰⇹(($2912$∊∟⩊$1615$)⊀⩕)⊍⩺⋍(($1624$⨝⩣∺)⋐⇩⊬)↙($3999$∠↢$1586$)⪥$1315$⨽∌$1562$","expression":"(⪩⨒∯100212≬⋮⪩⨒∯113332)∴(⪩⨒∯1212301∷⪩⨒∯1322312)⨪↰⇹((⪩⨒∯231200∊∟⩊⪩⨒∯121033)⊀⩕)⊍⩺⋍((⪩⨒∯121120⨝⩣∺)⋐⇩⊬)↙(⪩⨒∯332133∠↢⪩⨒∯120302)⪥⪩⨒∯110203⨽∌⪩⨒∯120122","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5005,"operation_count":13,"complexity_ratio":385.0,"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":1062,"base":4},"right_expr":{"type":"numeric_atoms","value":1534,"base":4}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":6577,"base":4},"right_expr":{"type":"numeric_atoms","value":7862,"base":4}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":2912,"base":4},"right_expr":{"type":"numeric_atoms","value":1615,"base":4}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1624,"base":4}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3999,"base":4},"right_expr":{"type":"numeric_atoms","value":1586,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1315,"base":4},"right_expr":{"type":"numeric_atoms","value":1562,"base":4}}}}},"used_operators":["OXDGMFPWZM","tmPS8pqC7x","hrf7POJlIJ","kbkesczE7y","D3AQDKkPcf","r0FS3hW4cC","ddLRYrp01A","yyfyN0ffXY","JuuLT1NoCs","ancx8kZcWl","QbnwKVWMIQ","KbjG8mgYpV","9samAPKr6k"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","rJVOvQCfKK","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rGHVDoGpnC","nhYeJWJD5X","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","tmPS8pqC7x","DpFCA1CohY","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","DZ8iAZOCBD","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1062","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1534, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=6577","layer":4},{"info":"number node, value=7862","layer":4},{"info":"compute binary expreesion, left_input=6577, right_input=7862, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=7862","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=7862, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3384","layer":2},{"info":"number node, value=2912","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=2912, right_input=1615, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1615","layer":3},{"info":"compute unary expreesion, input=1615, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3384, 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=3384","layer":1},{"info":"number node, value=1624","layer":4},{"info":"compute unary expreesion, input=1624, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-3248","layer":3},{"info":"compute unary expreesion, input=-3248, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=-6375","layer":2},{"info":"number node, value=3999","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=3999, right_input=1586, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-37118","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=1562, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-37118, right_input=0, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=-6375, right_input=-1798, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6375","layer":1},{"info":"compute binary expreesion, left_input=3384, right_input=-6375, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯100212≬⋮⪩⨒∯113332)∴(⪩⨒∯1212301∷⪩⨒∯1322312)⨪↰⇹((⪩⨒∯231200∊∟⩊⪩⨒∯121033)⊀⩕)⊍⩺⋍((⪩⨒∯121120⨝⩣∺)⋐⇩⊬)↙(⪩⨒∯332133∠↢⪩⨒∯120302)⪥⪩⨒∯110203⨽∌⪩⨒∯120122=NaN","reverse_text":"NaN=(⪩⨒∯100212≬⋮⪩⨒∯113332)∴(⪩⨒∯1212301∷⪩⨒∯1322312)⨪↰⇹((⪩⨒∯231200∊∟⩊⪩⨒∯121033)⊀⩕)⊍⩺⋍((⪩⨒∯121120⨝⩣∺)⋐⇩⊬)↙(⪩⨒∯332133∠↢⪩⨒∯120302)⪥⪩⨒∯110203⨽∌⪩⨒∯120122","cot":[{"info":"⪩⨒∯100212≬⋮⪩⨒∯113332=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯1212301∷⪩⨒∯1322312=⪩⨒∯1322312","layer":3},{"info":"⪩⨒∯31210∴⪩⨒∯1322312=⪩⨒∯310320","layer":2},{"info":"⪩⨒∯231200∊∟⩊⪩⨒∯121033=⪩⨒∯121033","layer":3},{"info":"⪩⨒∯121033⊀⩕=⪩⨒∯0","layer":2},{"info":"⪩⨒∯310320⨪↰⇹⪩⨒∯0=⪩⨒∯310320","layer":1},{"info":"⪩⨒∯121120⨝⩣∺=⪩⨒∯-302300","layer":3},{"info":"⪩⨒∯-302300⋐⇩⊬=⪩⨒∯-1203213","layer":2},{"info":"⪩⨒∯332133∠↢⪩⨒∯120302=⪩⨒∯-21003332","layer":3},{"info":"⪩⨒∯110203⨽∌⪩⨒∯120122=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-21003332⪥⪩⨒∯0=⪩⨒∯-130012","layer":2},{"info":"⪩⨒∯-1203213↙⪩⨒∯-130012=⪩⨒∯-1203213","layer":1},{"info":"⪩⨒∯310320⊍⩺⋍⪩⨒∯-1203213=NaN","layer":0}]}
{"id":38,"expression_no_base_symbol":"⨈⪑((+⊝⨔$3294$)⨿($6497$⨴∎))≁↽≥(($5465$∇⊂⋱$1271$)∴(≦∁$3735$))","expression":"⨈⪑((+⊝⨔⪩⨒∯303132)⨿(⪩⨒∯1211201⨴∎))≁↽≥((⪩⨒∯1111121∇⊂⋱⪩⨒∯103313)∴(≦∁⪩⨒∯322113))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6924,"operation_count":8,"complexity_ratio":865.5,"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":3294,"base":4}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":6497,"base":4}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":5465,"base":4},"right_expr":{"type":"numeric_atoms","value":1271,"base":4}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3735,"base":4}}}}},"used_operators":["mp94q5OcYM","ncHt1X6cMc","abYXlopdE0","DhbWaqg5eL","CpSg5vQTgA","hrf7POJlIJ","nhYeJWJD5X","9ICcGScMcE"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","oWn0xqSxBt","3Oe9XWJUTD","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪩⨒∯31210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3294","layer":4},{"info":"compute unary expreesion, input=3294, 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=6497","layer":4},{"info":"compute unary expreesion, input=6497, 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=1522, 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=5465","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=5465, right_input=1271, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=10384","layer":3},{"info":"number node, value=3735","layer":4},{"info":"compute unary expreesion, input=3735, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3735","layer":3},{"info":"compute binary expreesion, left_input=10384, right_input=3735, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=22416","layer":2},{"info":"compute binary expreesion, left_input=-319, right_input=22416, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=5147","layer":1},{"info":"compute unary expreesion, input=5147, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":4,"result_base":4,"text":"⨈⪑((+⊝⨔⪩⨒∯303132)⨿(⪩⨒∯1211201⨴∎))≁↽≥((⪩⨒∯1111121∇⊂⋱⪩⨒∯103313)∴(≦∁⪩⨒∯322113))=⪩⨒∯31210","reverse_text":"⪩⨒∯31210=⨈⪑((+⊝⨔⪩⨒∯303132)⨿(⪩⨒∯1211201⨴∎))≁↽≥((⪩⨒∯1111121∇⊂⋱⪩⨒∯103313)∴(≦∁⪩⨒∯322113))","cot":[{"info":"+⊝⨔⪩⨒∯303132=⪩⨒∯113302","layer":3},{"info":"⪩⨒∯1211201⨴∎=NaN","layer":3},{"info":"⪩⨒∯113302⨿NaN=⪩⨒∯-10333","layer":2},{"info":"⪩⨒∯1111121∇⊂⋱⪩⨒∯103313=⪩⨒∯2202100","layer":3},{"info":"≦∁⪩⨒∯322113=⪩⨒∯322113","layer":3},{"info":"⪩⨒∯2202100∴⪩⨒∯322113=⪩⨒∯11132100","layer":2},{"info":"⪩⨒∯-10333≁↽≥⪩⨒∯11132100=⪩⨒∯1100123","layer":1},{"info":"⨈⪑⪩⨒∯1100123=⪩⨒∯31210","layer":0}]}
{"id":39,"expression_no_base_symbol":"(⇠($1530$↳∿⪆$1055$)≁↽≥($4716$⫥∨⫟$4435$))∷(≸($1040$⊋≦⊧$1582$)⪎↠($4088$⩌⋺$2419$))","expression":"(⇠(⪩⨒∯113322↳∿⪆⪩⨒∯100133)≁↽≥(⪩⨒∯1021230⫥∨⫟⪩⨒∯1011103))∷(≸(⪩⨒∯100100⊋≦⊧⪩⨒∯120232)⪎↠(⪩⨒∯333320⩌⋺⪩⨒∯211303))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2666,"operation_count":9,"complexity_ratio":296.22222222222223,"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":1530,"base":4},"right_expr":{"type":"numeric_atoms","value":1055,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4716,"base":4},"right_expr":{"type":"numeric_atoms","value":4435,"base":4}}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1040,"base":4},"right_expr":{"type":"numeric_atoms","value":1582,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4088,"base":4},"right_expr":{"type":"numeric_atoms","value":2419,"base":4}}}}},"used_operators":["D3AQDKkPcf","18saOjeKKm","ncHt1X6cMc","Cw4SuJJGHO","KYD54nUTWz","eOf03JbCpp","3tVxb0NHM4","oRDoc9rAEX","g7Hmc5v1ko"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","oWn0xqSxBt","3Oe9XWJUTD","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⪩⨒∯11133","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1530","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=1055, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=4716","layer":4},{"info":"number node, value=4435","layer":4},{"info":"compute binary expreesion, left_input=4716, right_input=4435, 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 = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"number node, value=1040","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1582, 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=-2382","layer":3},{"info":"number node, value=4088","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=2419, 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=-6628","layer":3},{"info":"compute binary expreesion, left_input=-2382, right_input=-6628, 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 = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=351, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=351","layer":0}],"base":4,"result_base":4,"text":"(⇠(⪩⨒∯113322↳∿⪆⪩⨒∯100133)≁↽≥(⪩⨒∯1021230⫥∨⫟⪩⨒∯1011103))∷(≸(⪩⨒∯100100⊋≦⊧⪩⨒∯120232)⪎↠(⪩⨒∯333320⩌⋺⪩⨒∯211303))=⪩⨒∯11133","reverse_text":"⪩⨒∯11133=(⇠(⪩⨒∯113322↳∿⪆⪩⨒∯100133)≁↽≥(⪩⨒∯1021230⫥∨⫟⪩⨒∯1011103))∷(≸(⪩⨒∯100100⊋≦⊧⪩⨒∯120232)⪎↠(⪩⨒∯333320⩌⋺⪩⨒∯211303))","cot":[{"info":"⪩⨒∯113322↳∿⪆⪩⨒∯100133=NaN","layer":3},{"info":"⪩⨒∯1021230⫥∨⫟⪩⨒∯1011103=NaN","layer":3},{"info":"NaN≁↽≥NaN=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"⪩⨒∯100100⊋≦⊧⪩⨒∯120232=⪩⨒∯-211032","layer":3},{"info":"⪩⨒∯333320⩌⋺⪩⨒∯211303=⪩⨒∯-1213210","layer":3},{"info":"⪩⨒∯-211032⪎↠⪩⨒∯-1213210=⪩⨒∯-313","layer":2},{"info":"≸⪩⨒∯-313=⪩⨒∯11133","layer":1},{"info":"NaN∷⪩⨒∯11133=⪩⨒∯11133","layer":0}]}
{"id":40,"expression_no_base_symbol":"(⫶⊄≣(($7783$⨚$1237$)↠))⊋(($1594$⋣⋖$3068$⨑≵⋬(-$5592$))⋝⋈⪟(≛$4498$⨭⪣$3496$))","expression":"(⫶⊄≣((⪩⨒∯1321213⨚⪩⨒∯103111)↠))⊋((⪩⨒∯120322⋣⋖⪩⨒∯233330⨑≵⋬(-⪩⨒∯1113120))⋝⋈⪟(≛⪩⨒∯1012102⨭⪣⪩⨒∯312220))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":243130,"operation_count":10,"complexity_ratio":24313.0,"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":7783,"base":4},"right_expr":{"type":"numeric_atoms","value":1237,"base":4}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1594,"base":4},"right_expr":{"type":"numeric_atoms","value":3068,"base":4}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5592,"base":4}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4498,"base":4},"right_expr":{"type":"numeric_atoms","value":3496,"base":4}}}}},"used_operators":["W4tP9CfskL","wxb3vTeyAj","LBdsKIvxzf","nREPSIbpBE","2DDjHMKMc0","XnXgA4xnOs","J0M6qkBnIM","t8gj7n24qd","W7eaUhjymW","kn8WO9XteQ"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7783","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=7783, right_input=1237, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=11552","layer":3},{"info":"compute unary expreesion, input=11552, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=3585205","layer":1},{"info":"number node, value=1594","layer":4},{"info":"number node, value=3068","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=3068, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1594","layer":3},{"info":"number node, value=5592","layer":4},{"info":"compute unary expreesion, input=5592, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5592","layer":3},{"info":"compute binary expreesion, left_input=1594, right_input=-5592, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=60709","layer":2},{"info":"number node, value=4498","layer":4},{"info":"number node, value=3496","layer":4},{"info":"compute binary expreesion, left_input=4498, right_input=3496, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3219","layer":3},{"info":"compute unary expreesion, input=3219, 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":2},{"info":"compute binary expreesion, left_input=60709, right_input=-10, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=60709","layer":1},{"info":"compute binary expreesion, left_input=3585205, right_input=60709, 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=inf","layer":0}],"base":4,"result_base":4,"text":"(⫶⊄≣((⪩⨒∯1321213⨚⪩⨒∯103111)↠))⊋((⪩⨒∯120322⋣⋖⪩⨒∯233330⨑≵⋬(-⪩⨒∯1113120))⋝⋈⪟(≛⪩⨒∯1012102⨭⪣⪩⨒∯312220))=Inf","reverse_text":"Inf=(⫶⊄≣((⪩⨒∯1321213⨚⪩⨒∯103111)↠))⊋((⪩⨒∯120322⋣⋖⪩⨒∯233330⨑≵⋬(-⪩⨒∯1113120))⋝⋈⪟(≛⪩⨒∯1012102⨭⪣⪩⨒∯312220))","cot":[{"info":"⪩⨒∯1321213⨚⪩⨒∯103111=⪩⨒∯2310200","layer":3},{"info":"⪩⨒∯2310200↠=⪩⨒∯-12333","layer":2},{"info":"⫶⊄≣⪩⨒∯-12333=⪩⨒∯31223102311","layer":1},{"info":"⪩⨒∯120322⋣⋖⪩⨒∯233330=⪩⨒∯120322","layer":3},{"info":"-⪩⨒∯1113120=⪩⨒∯-1113120","layer":3},{"info":"⪩⨒∯120322⨑≵⋬⪩⨒∯-1113120=⪩⨒∯32310211","layer":2},{"info":"⪩⨒∯1012102⨭⪣⪩⨒∯312220=⪩⨒∯302103","layer":3},{"info":"≛⪩⨒∯302103=⪩⨒∯-22","layer":2},{"info":"⪩⨒∯32310211⋝⋈⪟⪩⨒∯-22=⪩⨒∯32310211","layer":1},{"info":"⪩⨒∯31223102311⊋⪩⨒∯32310211=Inf","layer":0}]}
{"id":41,"expression_no_base_symbol":"∷≠((($3502$⫚⫇)⊍⩺⋍$1611$⨑≵⋬$1023$)⊋≦⊧$1285$⨐$6641$≚⊃≕($2178$⊹∫⫚$7640$))","expression":"∷≠(((⪩⨒∯312232⫚⫇)⊍⩺⋍⪩⨒∯121023⨑≵⋬⪩⨒∯33333)⊋≦⊧⪩⨒∯110011⨐⪩⨒∯1213301≚⊃≕(⪩⨒∯202002⊹∫⫚⪩⨒∯1313120))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":367,"operation_count":8,"complexity_ratio":45.875,"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":3502,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1611,"base":4},"right_expr":{"type":"numeric_atoms","value":1023,"base":4}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1285,"base":4},"right_expr":{"type":"numeric_atoms","value":6641,"base":4}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2178,"base":4},"right_expr":{"type":"numeric_atoms","value":7640,"base":4}}}}},"used_operators":["QiR2Oyf5Xj","oRDoc9rAEX","OXDGMFPWZM","SdCjLnB6rR","XnXgA4xnOs","Bmrmz2XGnR","Noe24qw2ks","uWAJUKEvyW"],"dependent_operators":["7j4O788W3g","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3502","layer":4},{"info":"compute unary expreesion, input=3502, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=5536","layer":3},{"info":"number node, value=1611","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=1023, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=2273","layer":3},{"info":"compute binary expreesion, left_input=5536, right_input=2273, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=1285","layer":4},{"info":"number node, value=6641","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=6641, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2570","layer":3},{"info":"number node, value=2178","layer":4},{"info":"number node, value=7640","layer":4},{"info":"compute binary expreesion, left_input=2178, right_input=7640, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-328","layer":3},{"info":"compute binary expreesion, left_input=-2570, right_input=-328, 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=-11102","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11102, 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":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"∷≠(((⪩⨒∯312232⫚⫇)⊍⩺⋍⪩⨒∯121023⨑≵⋬⪩⨒∯33333)⊋≦⊧⪩⨒∯110011⨐⪩⨒∯1213301≚⊃≕(⪩⨒∯202002⊹∫⫚⪩⨒∯1313120))=NaN","reverse_text":"NaN=∷≠(((⪩⨒∯312232⫚⫇)⊍⩺⋍⪩⨒∯121023⨑≵⋬⪩⨒∯33333)⊋≦⊧⪩⨒∯110011⨐⪩⨒∯1213301≚⊃≕(⪩⨒∯202002⊹∫⫚⪩⨒∯1313120))","cot":[{"info":"⪩⨒∯312232⫚⫇=⪩⨒∯1112200","layer":3},{"info":"⪩⨒∯121023⨑≵⋬⪩⨒∯33333=⪩⨒∯203201","layer":3},{"info":"⪩⨒∯1112200⊍⩺⋍⪩⨒∯203201=NaN","layer":2},{"info":"⪩⨒∯110011⨐⪩⨒∯1213301=⪩⨒∯-220022","layer":3},{"info":"⪩⨒∯202002⊹∫⫚⪩⨒∯1313120=⪩⨒∯-11020","layer":3},{"info":"⪩⨒∯-220022≚⊃≕⪩⨒∯-11020=⪩⨒∯-2231132","layer":2},{"info":"NaN⊋≦⊧⪩⨒∯-2231132=NaN","layer":1},{"info":"∷≠NaN=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"(⩪∧⨌(⫶⊄≣$7734$)⇍⊗($3603$≄⊠$1473$))⪨≂(⊽($1736$≬⋮$2592$))↼⊘⨖($2104$+⇶⊼$3246$⨔≚≋$2654$⪍↜⋙$6116$)","expression":"(⩪∧⨌(⫶⊄≣⪩⨒∯1320312)⇍⊗(⪩⨒∯320103≄⊠⪩⨒∯113001))⪨≂(⊽(⪩⨒∯123020≬⋮⪩⨒∯220200))↼⊘⨖(⪩⨒∯200320+⇶⊼⪩⨒∯302232⨔≚≋⪩⨒∯221132⪍↜⋙⪩⨒∯1133210)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7955,"operation_count":11,"complexity_ratio":723.1818181818181,"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":7734,"base":4}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3603,"base":4},"right_expr":{"type":"numeric_atoms","value":1473,"base":4}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1736,"base":4},"right_expr":{"type":"numeric_atoms","value":2592,"base":4}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2104,"base":4},"right_expr":{"type":"numeric_atoms","value":3246,"base":4}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":2654,"base":4},"right_expr":{"type":"numeric_atoms","value":6116,"base":4}}}}},"used_operators":["sdazOOVcIp","6iOiAJX1F8","5uvYHDjeKN","wxb3vTeyAj","vXNesLlMH1","bPywburJMS","QxG7OkqoLX","kbkesczE7y","Z57zeUYC9z","TpPTUOHfaN","L05ObWFQCd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","AHs5Up7iyr","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7734","layer":4},{"info":"compute unary expreesion, input=7734, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=1076801509","layer":3},{"info":"number node, value=3603","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=1473, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=28236","layer":3},{"info":"compute binary expreesion, left_input=1076801509, right_input=28236, 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 = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-2440","layer":1},{"info":"number node, value=1736","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=2592, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3258","layer":2},{"info":"number node, value=2104","layer":4},{"info":"number node, value=3246","layer":4},{"info":"compute binary expreesion, left_input=2104, right_input=3246, 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=2654","layer":4},{"info":"number node, value=6116","layer":4},{"info":"compute binary expreesion, left_input=2654, right_input=6116, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-26285","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-26285, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3258, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2440, 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":4,"result_base":4,"text":"(⩪∧⨌(⫶⊄≣⪩⨒∯1320312)⇍⊗(⪩⨒∯320103≄⊠⪩⨒∯113001))⪨≂(⊽(⪩⨒∯123020≬⋮⪩⨒∯220200))↼⊘⨖(⪩⨒∯200320+⇶⊼⪩⨒∯302232⨔≚≋⪩⨒∯221132⪍↜⋙⪩⨒∯1133210)=NaN","reverse_text":"NaN=(⩪∧⨌(⫶⊄≣⪩⨒∯1320312)⇍⊗(⪩⨒∯320103≄⊠⪩⨒∯113001))⪨≂(⊽(⪩⨒∯123020≬⋮⪩⨒∯220200))↼⊘⨖(⪩⨒∯200320+⇶⊼⪩⨒∯302232⨔≚≋⪩⨒∯221132⪍↜⋙⪩⨒∯1133210)","cot":[{"info":"⫶⊄≣⪩⨒∯1320312=⪩⨒∯1000023222333211","layer":3},{"info":"⪩⨒∯320103≄⊠⪩⨒∯113001=⪩⨒∯12321030","layer":3},{"info":"⪩⨒∯1000023222333211⇍⊗⪩⨒∯12321030=⪩⨒∯-3310","layer":2},{"info":"⩪∧⨌⪩⨒∯-3310=⪩⨒∯-212020","layer":1},{"info":"⪩⨒∯123020≬⋮⪩⨒∯220200=⪩⨒∯31210","layer":3},{"info":"⊽⪩⨒∯31210=⪩⨒∯302322","layer":2},{"info":"⪩⨒∯200320+⇶⊼⪩⨒∯302232=NaN","layer":3},{"info":"⪩⨒∯221132⪍↜⋙⪩⨒∯1133210=⪩⨒∯-12122231","layer":3},{"info":"NaN⨔≚≋⪩⨒∯-12122231=NaN","layer":2},{"info":"⪩⨒∯302322↼⊘⨖NaN=NaN","layer":1},{"info":"⪩⨒∯-212020⪨≂NaN=NaN","layer":0}]}
{"id":43,"expression_no_base_symbol":"(⫖→($6127$≭$6349$)⨫⇇↔($1037$↬$3361$))⩹($4097$⪒⊣⊆$1890$)⇻⋧≁($2158$⩍⋽⫝̸$1365$)≹⇙⪍($3296$⊮⊟↴$2155$⊓⋫)","expression":"(⫖→(⪩⨒∯1133233≭⪩⨒∯1203031)⨫⇇↔(⪩⨒∯100031↬⪩⨒∯310201))⩹(⪩⨒∯1000001⪒⊣⊆⪩⨒∯131202)⇻⋧≁(⪩⨒∯201232⩍⋽⫝̸⪩⨒∯111111)≹⇙⪍(⪩⨒∯303200⊮⊟↴⪩⨒∯201223⊓⋫)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25626,"operation_count":11,"complexity_ratio":2329.6363636363635,"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":6127,"base":4},"right_expr":{"type":"numeric_atoms","value":6349,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1037,"base":4},"right_expr":{"type":"numeric_atoms","value":3361,"base":4}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4097,"base":4},"right_expr":{"type":"numeric_atoms","value":1890,"base":4}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2158,"base":4},"right_expr":{"type":"numeric_atoms","value":1365,"base":4}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3296,"base":4},"right_expr":{"type":"numeric_atoms","value":2155,"base":4}}}}},"used_operators":["2Wsdkap16l","U4ylXWHChL","LXhwmt4mBO","rxpJgHHUmx","B5M0gjZbta","AHs5Up7iyr","jCPkEVoL5K","eRqsBgTDFp","BiWNJpBvwn","IqGBaFP0uj","QDVgd2eftb"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","AHs5Up7iyr","rGHVDoGpnC","dWAJyo7jo9","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","sdazOOVcIp","W4YGzv6Whe","Ph9nP6C5qx","xUOZtlo3hN","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6127","layer":4},{"info":"number node, value=6349","layer":4},{"info":"compute binary expreesion, left_input=6127, right_input=6349, 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=3361","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=3361, 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 = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=4097","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=4097, right_input=1890, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8194","layer":3},{"info":"number node, value=2158","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=2158, right_input=1365, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=419","layer":3},{"info":"compute binary expreesion, left_input=8194, right_input=419, 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=3296","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=3296, right_input=2155, 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 = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-128","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-128, 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=177, 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":4,"result_base":4,"text":"(⫖→(⪩⨒∯1133233≭⪩⨒∯1203031)⨫⇇↔(⪩⨒∯100031↬⪩⨒∯310201))⩹(⪩⨒∯1000001⪒⊣⊆⪩⨒∯131202)⇻⋧≁(⪩⨒∯201232⩍⋽⫝̸⪩⨒∯111111)≹⇙⪍(⪩⨒∯303200⊮⊟↴⪩⨒∯201223⊓⋫)=NaN","reverse_text":"NaN=(⫖→(⪩⨒∯1133233≭⪩⨒∯1203031)⨫⇇↔(⪩⨒∯100031↬⪩⨒∯310201))⩹(⪩⨒∯1000001⪒⊣⊆⪩⨒∯131202)⇻⋧≁(⪩⨒∯201232⩍⋽⫝̸⪩⨒∯111111)≹⇙⪍(⪩⨒∯303200⊮⊟↴⪩⨒∯201223⊓⋫)","cot":[{"info":"⪩⨒∯1133233≭⪩⨒∯1203031=NaN","layer":3},{"info":"⪩⨒∯100031↬⪩⨒∯310201=NaN","layer":3},{"info":"NaN⨫⇇↔NaN=⪩⨒∯-20033","layer":2},{"info":"⫖→⪩⨒∯-20033=⪩⨒∯2301","layer":1},{"info":"⪩⨒∯1000001⪒⊣⊆⪩⨒∯131202=⪩⨒∯2000002","layer":3},{"info":"⪩⨒∯201232⩍⋽⫝̸⪩⨒∯111111=⪩⨒∯12203","layer":3},{"info":"⪩⨒∯2000002⇻⋧≁⪩⨒∯12203=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯303200⊮⊟↴⪩⨒∯201223=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⊓⋫=⪩⨒∯-2000","layer":2},{"info":"⪩⨒∯-12333≹⇙⪍⪩⨒∯-2000=NaN","layer":1},{"info":"⪩⨒∯2301⩹NaN=NaN","layer":0}]}
{"id":44,"expression_no_base_symbol":"((($2033$≋⫹)≓∲($1519$≝⊰⇂))⪭($1834$∝$6965$)⨟⋌⩍$9678$↤⩊$1236$)⇪⋭","expression":"(((⪩⨒∯133301≋⫹)≓∲(⪩⨒∯113233≝⊰⇂))⪭(⪩⨒∯130222∝⪩⨒∯1230311)⨟⋌⩍⪩⨒∯2113032↤⩊⪩⨒∯103110)⇪⋭","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1847,"operation_count":8,"complexity_ratio":230.875,"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":2033,"base":4}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":1519,"base":4}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1834,"base":4},"right_expr":{"type":"numeric_atoms","value":6965,"base":4}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":9678,"base":4},"right_expr":{"type":"numeric_atoms","value":1236,"base":4}}}}},"used_operators":["Z8Yg6dlDSp","j9kHMeSvPp","s1XTVnmDOJ","N41Kp7NANJ","htSmYCowi5","rGHVDoGpnC","cTDWOvIxvz","13rbtpv6ld"],"dependent_operators":["T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","COABgblf1C","xUOZtlo3hN","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","DlLNRPXxWL","Tcnh7f0tEr","7j4O788W3g","W4YGzv6Whe","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2033","layer":4},{"info":"compute unary expreesion, input=2033, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4066","layer":3},{"info":"number node, value=1519","layer":4},{"info":"compute unary expreesion, input=1519, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4066, 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":"number node, value=1834","layer":4},{"info":"number node, value=6965","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=6965, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1839","layer":3},{"info":"number node, value=9678","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=9678, right_input=1236, 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=1839, 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":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-241","layer":1},{"info":"compute unary expreesion, input=-241, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯133301≋⫹)≓∲(⪩⨒∯113233≝⊰⇂))⪭(⪩⨒∯130222∝⪩⨒∯1230311)⨟⋌⩍⪩⨒∯2113032↤⩊⪩⨒∯103110)⇪⋭=NaN","reverse_text":"NaN=(((⪩⨒∯133301≋⫹)≓∲(⪩⨒∯113233≝⊰⇂))⪭(⪩⨒∯130222∝⪩⨒∯1230311)⨟⋌⩍⪩⨒∯2113032↤⩊⪩⨒∯103110)⇪⋭","cot":[{"info":"⪩⨒∯133301≋⫹=⪩⨒∯-333202","layer":3},{"info":"⪩⨒∯113233≝⊰⇂=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-333202≓∲⪩⨒∯0=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯130222∝⪩⨒∯1230311=⪩⨒∯130233","layer":3},{"info":"⪩⨒∯2113032↤⩊⪩⨒∯103110=NaN","layer":3},{"info":"⪩⨒∯130233⨟⋌⩍NaN=NaN","layer":2},{"info":"⪩⨒∯1003⪭NaN=⪩⨒∯-3301","layer":1},{"info":"⪩⨒∯-3301⇪⋭=NaN","layer":0}]}
{"id":45,"expression_no_base_symbol":"($6935$⊮⊟↴$2700$+⇶⊼($4774$≫≃)⫡⨏($2199$↺$2910$)∊∟⩊(↘$1021$))⪔⊥((⨈⫕$1832$)∴($1955$⊢$2642$)↱(⊿$1311$)⨟⋌⩍($2191$⫿))","expression":"(⪩⨒∯1230113⊮⊟↴⪩⨒∯222030+⇶⊼(⪩⨒∯1022212≫≃)⫡⨏(⪩⨒∯202113↺⪩⨒∯231132)∊∟⩊(↘⪩⨒∯33331))⪔⊥((⨈⫕⪩⨒∯130220)∴(⪩⨒∯132203⊢⪩⨒∯221102)↱(⊿⪩⨒∯110133)⨟⋌⩍(⪩⨒∯202033⫿))","highest_n_order":5,"priority_hierarchical_complexity":15,"normalized_expansion_degree":579,"operation_count":15,"complexity_ratio":38.6,"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":6935,"base":4},"right_expr":{"type":"numeric_atoms","value":2700,"base":4}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4774,"base":4}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2199,"base":4},"right_expr":{"type":"numeric_atoms","value":2910,"base":4}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":1021,"base":4}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1832,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1955,"base":4},"right_expr":{"type":"numeric_atoms","value":2642,"base":4}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1311,"base":4}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":2191,"base":4}}}}},"used_operators":["HJ9erzHUuu","QMFrweE19q","TpPTUOHfaN","QDVgd2eftb","X99M06cbEe","ddLRYrp01A","7j4O788W3g","LdNpr8hQHL","SR5kFfdi6N","hrf7POJlIJ","megm06wKyl","5twsqlHp2o","rGHVDoGpnC","DO4fhlbJSI","9tKT6PmtkH"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","Tcnh7f0tEr","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6935","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=6935, right_input=2700, 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=4774","layer":4},{"info":"compute unary expreesion, input=4774, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10949","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10949, 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=2199","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=2910, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2910","layer":3},{"info":"number node, value=1021","layer":4},{"info":"compute unary expreesion, input=1021, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=237","layer":3},{"info":"compute binary expreesion, left_input=2910, right_input=237, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=237","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=237, 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=1832","layer":4},{"info":"compute unary expreesion, input=1832, 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=1955","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=1955, right_input=2642, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4154","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-4154, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1606","layer":2},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-5982","layer":3},{"info":"number node, value=2191","layer":4},{"info":"compute unary expreesion, input=2191, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=2191","layer":3},{"info":"compute binary expreesion, left_input=-5982, right_input=2191, 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=1606, 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 = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1230113⊮⊟↴⪩⨒∯222030+⇶⊼(⪩⨒∯1022212≫≃)⫡⨏(⪩⨒∯202113↺⪩⨒∯231132)∊∟⩊(↘⪩⨒∯33331))⪔⊥((⨈⫕⪩⨒∯130220)∴(⪩⨒∯132203⊢⪩⨒∯221102)↱(⊿⪩⨒∯110133)⨟⋌⩍(⪩⨒∯202033⫿))=NaN","reverse_text":"NaN=(⪩⨒∯1230113⊮⊟↴⪩⨒∯222030+⇶⊼(⪩⨒∯1022212≫≃)⫡⨏(⪩⨒∯202113↺⪩⨒∯231132)∊∟⩊(↘⪩⨒∯33331))⪔⊥((⨈⫕⪩⨒∯130220)∴(⪩⨒∯132203⊢⪩⨒∯221102)↱(⊿⪩⨒∯110133)⨟⋌⩍(⪩⨒∯202033⫿))","cot":[{"info":"⪩⨒∯1230113⊮⊟↴⪩⨒∯222030=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1022212≫≃=⪩⨒∯2223011","layer":3},{"info":"⪩⨒∯0+⇶⊼⪩⨒∯2223011=NaN","layer":2},{"info":"⪩⨒∯202113↺⪩⨒∯231132=⪩⨒∯231132","layer":3},{"info":"↘⪩⨒∯33331=⪩⨒∯3231","layer":3},{"info":"⪩⨒∯231132∊∟⩊⪩⨒∯3231=⪩⨒∯3231","layer":2},{"info":"NaN⫡⨏⪩⨒∯3231=NaN","layer":1},{"info":"⨈⫕⪩⨒∯130220=⪩⨒∯-111","layer":3},{"info":"⪩⨒∯132203⊢⪩⨒∯221102=⪩⨒∯-1000322","layer":3},{"info":"⪩⨒∯-111∴⪩⨒∯-1000322=⪩⨒∯121012","layer":2},{"info":"⊿⪩⨒∯110133=⪩⨒∯-1131132","layer":3},{"info":"⪩⨒∯202033⫿=⪩⨒∯202033","layer":3},{"info":"⪩⨒∯-1131132⨟⋌⩍⪩⨒∯202033=NaN","layer":2},{"info":"⪩⨒∯121012↱NaN=NaN","layer":1},{"info":"NaN⪔⊥NaN=NaN","layer":0}]}
{"id":46,"expression_no_base_symbol":"(($7910$⫥∨⫟$2922$⫰⋱$3982$⨓$1828$)⪥⨬⪅)⫞⩸⩒((⇐$2693$↞⋁$2209$)∌↝($2586$≝⊿$6090$⨳⩥⨓(⇉-⫰$3208$)))","expression":"((⪩⨒∯1323212⫥∨⫟⪩⨒∯231222⫰⋱⪩⨒∯332032⨓⪩⨒∯130210)⪥⨬⪅)⫞⩸⩒((⇐⪩⨒∯222011↞⋁⪩⨒∯202201)∌↝(⪩⨒∯220122≝⊿⪩⨒∯1133022⨳⩥⨓(⇉-⫰⪩⨒∯302020)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2355,"operation_count":11,"complexity_ratio":214.0909090909091,"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":7910,"base":4},"right_expr":{"type":"numeric_atoms","value":2922,"base":4}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3982,"base":4},"right_expr":{"type":"numeric_atoms","value":1828,"base":4}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2693,"base":4},"right_expr":{"type":"numeric_atoms","value":2209,"base":4}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2586,"base":4},"right_expr":{"type":"numeric_atoms","value":6090,"base":4}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":3208,"base":4}}}}},"used_operators":["XGcMNugi78","zNRQejTB5A","6o9Blt3TJ6","KYD54nUTWz","3ViojmjbAp","9Isq31Ruls","nmZMaaE0Q9","RqrPlJkxDo","nCS4ZIUYfx","OKKcZfAt5B","IGFM8TAlm9"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","8HhzD0ZcuI","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","rysDP5nf3Z","12rbrZMWeM","eH2TOUuTDT","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7910","layer":4},{"info":"number node, value=2922","layer":4},{"info":"compute binary expreesion, left_input=7910, right_input=2922, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3982","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=3982, right_input=1828, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1831","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1831, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=nan","layer":1},{"info":"number node, value=2693","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=2209, 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 = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":2},{"info":"number node, value=2586","layer":4},{"info":"number node, value=6090","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=6090, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-15299","layer":3},{"info":"number node, value=3208","layer":4},{"info":"compute unary expreesion, input=3208, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-15299, right_input=20, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=15319","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15319, 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 binary expreesion, left_input=nan, 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=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1323212⫥∨⫟⪩⨒∯231222⫰⋱⪩⨒∯332032⨓⪩⨒∯130210)⪥⨬⪅)⫞⩸⩒((⇐⪩⨒∯222011↞⋁⪩⨒∯202201)∌↝(⪩⨒∯220122≝⊿⪩⨒∯1133022⨳⩥⨓(⇉-⫰⪩⨒∯302020)))=NaN","reverse_text":"NaN=((⪩⨒∯1323212⫥∨⫟⪩⨒∯231222⫰⋱⪩⨒∯332032⨓⪩⨒∯130210)⪥⨬⪅)⫞⩸⩒((⇐⪩⨒∯222011↞⋁⪩⨒∯202201)∌↝(⪩⨒∯220122≝⊿⪩⨒∯1133022⨳⩥⨓(⇉-⫰⪩⨒∯302020)))","cot":[{"info":"⪩⨒∯1323212⫥∨⫟⪩⨒∯231222=NaN","layer":3},{"info":"⪩⨒∯332032⨓⪩⨒∯130210=⪩⨒∯-130213","layer":3},{"info":"NaN⫰⋱⪩⨒∯-130213=NaN","layer":2},{"info":"NaN⪥⨬⪅=NaN","layer":1},{"info":"⪩⨒∯222011↞⋁⪩⨒∯202201=NaN","layer":3},{"info":"⇐NaN=NaN","layer":2},{"info":"⪩⨒∯220122≝⊿⪩⨒∯1133022=⪩⨒∯-3233003","layer":3},{"info":"⇉-⫰⪩⨒∯302020=⪩⨒∯110","layer":3},{"info":"⪩⨒∯-3233003⨳⩥⨓⪩⨒∯110=⪩⨒∯3233113","layer":2},{"info":"NaN∌↝⪩⨒∯3233113=NaN","layer":1},{"info":"NaN⫞⩸⩒NaN=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"≱⇩⩕($3703$⨁⊸⫻)⫥∨⫟(⫵↿$2287$)⇮⋭($4137$≃$1591$⇟⨁⪰)","expression":"≱⇩⩕(⪩⨒∯321313⨁⊸⫻)⫥∨⫟(⫵↿⪩⨒∯203233)⇮⋭(⪩⨒∯1000221≃⪩⨒∯120313⇟⨁⪰)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":271,"operation_count":7,"complexity_ratio":38.714285714285715,"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":3703,"base":4}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2287,"base":4}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":4137,"base":4},"right_expr":{"type":"numeric_atoms","value":1591,"base":4}}}}},"used_operators":["3DZMoQKiUl","vkpjKywKVM","KYD54nUTWz","glklzrTFfD","ivGwdmUAux","BX1lVwlMe0","YbVcJGFEVW"],"dependent_operators":["AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","2DDjHMKMc0","xUOZtlo3hN","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⪩⨒∯1301","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3703","layer":4},{"info":"compute unary expreesion, input=3703, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3703","layer":3},{"info":"number node, value=2287","layer":4},{"info":"compute unary expreesion, input=2287, 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=3703, right_input=137, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4137","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=4137, right_input=1591, 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=-16588","layer":3},{"info":"compute unary expreesion, input=-16588, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=16414","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16414, 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 = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":0}],"base":4,"result_base":4,"text":"≱⇩⩕(⪩⨒∯321313⨁⊸⫻)⫥∨⫟(⫵↿⪩⨒∯203233)⇮⋭(⪩⨒∯1000221≃⪩⨒∯120313⇟⨁⪰)=⪩⨒∯1301","reverse_text":"⪩⨒∯1301=≱⇩⩕(⪩⨒∯321313⨁⊸⫻)⫥∨⫟(⫵↿⪩⨒∯203233)⇮⋭(⪩⨒∯1000221≃⪩⨒∯120313⇟⨁⪰)","cot":[{"info":"⪩⨒∯321313⨁⊸⫻=⪩⨒∯321313","layer":3},{"info":"⫵↿⪩⨒∯203233=⪩⨒∯2021","layer":3},{"info":"⪩⨒∯321313⫥∨⫟⪩⨒∯2021=NaN","layer":2},{"info":"⪩⨒∯1000221≃⪩⨒∯120313=⪩⨒∯-10003030","layer":3},{"info":"⪩⨒∯-10003030⇟⨁⪰=⪩⨒∯10000132","layer":2},{"info":"NaN⇮⋭⪩⨒∯10000132=⪩⨒∯1003","layer":1},{"info":"≱⇩⩕⪩⨒∯1003=⪩⨒∯1301","layer":0}]}
{"id":48,"expression_no_base_symbol":"($9012$⫃⨇$1160$⨸⪁(⨴⫝$1175$))⪔⊥($1470$∲⫓$5358$)⫣⪄⊒$2558$⫞⩸⩒$1169$⨵⪆(⊖∈(⫟(↨$2124$)))","expression":"(⪩⨒∯2030310⫃⨇⪩⨒∯102020⨸⪁(⨴⫝⪩⨒∯102113))⪔⊥(⪩⨒∯112332∲⫓⪩⨒∯1103232)⫣⪄⊒⪩⨒∯213332⫞⩸⩒⪩⨒∯102101⨵⪆(⊖∈(⫟(↨⪩⨒∯201030)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2100,"operation_count":11,"complexity_ratio":190.9090909090909,"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":9012,"base":4},"right_expr":{"type":"numeric_atoms","value":1160,"base":4}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1175,"base":4}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1470,"base":4},"right_expr":{"type":"numeric_atoms","value":5358,"base":4}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2558,"base":4},"right_expr":{"type":"numeric_atoms","value":1169,"base":4}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":2124,"base":4}}}}},"used_operators":["2DQ55sFlQl","HJ9erzHUuu","g55IO6H4Gj","09Ly4LVMIf","SVb2v531z1","RabNbG55vr","i8ToyICDmI","XGcMNugi78","YFxL8Sc2Zy","z4E1FaHLuy","jiX4gk2v2Q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","oZj3VtZNQx"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=9012","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=9012, right_input=1160, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4672","layer":3},{"info":"number node, value=1175","layer":4},{"info":"compute unary expreesion, input=1175, 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 binary expreesion, left_input=-4672, right_input=2828198, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5647052","layer":2},{"info":"number node, value=1470","layer":4},{"info":"number node, value=5358","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=5358, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2558","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=1169, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1169","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1169, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7526","layer":2},{"info":"compute binary expreesion, left_input=5647052, right_input=-7526, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-5646253","layer":1},{"info":"number node, value=2124","layer":4},{"info":"compute unary expreesion, input=2124, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', 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 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=-5646253, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯2030310⫃⨇⪩⨒∯102020⨸⪁(⨴⫝⪩⨒∯102113))⪔⊥(⪩⨒∯112332∲⫓⪩⨒∯1103232)⫣⪄⊒⪩⨒∯213332⫞⩸⩒⪩⨒∯102101⨵⪆(⊖∈(⫟(↨⪩⨒∯201030)))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(⪩⨒∯2030310⫃⨇⪩⨒∯102020⨸⪁(⨴⫝⪩⨒∯102113))⪔⊥(⪩⨒∯112332∲⫓⪩⨒∯1103232)⫣⪄⊒⪩⨒∯213332⫞⩸⩒⪩⨒∯102101⨵⪆(⊖∈(⫟(↨⪩⨒∯201030)))","cot":[{"info":"⪩⨒∯2030310⫃⨇⪩⨒∯102020=⪩⨒∯-1021000","layer":3},{"info":"⨴⫝⪩⨒∯102113=⪩⨒∯22302132212","layer":3},{"info":"⪩⨒∯-1021000⨸⪁⪩⨒∯22302132212=⪩⨒∯111202223030","layer":2},{"info":"⪩⨒∯112332∲⫓⪩⨒∯1103232=⪩⨒∯0","layer":3},{"info":"⪩⨒∯213332⫞⩸⩒⪩⨒∯102101=⪩⨒∯102101","layer":3},{"info":"⪩⨒∯0⫣⪄⊒⪩⨒∯102101=⪩⨒∯-1311212","layer":2},{"info":"⪩⨒∯111202223030⪔⊥⪩⨒∯-1311212=⪩⨒∯-111202132231","layer":1},{"info":"↨⪩⨒∯201030=NaN","layer":3},{"info":"⫟NaN=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"⪩⨒∯-111202132231⨵⪆NaN=⪩⨒∯2200","layer":0}]}
{"id":49,"expression_no_base_symbol":"((⪫⨮⊛($1675$⨫⇇↔$1104$))∲⫓((⇙⪊$1926$)↫))≠≀(($1821$⨻⩈⩔$3738$)⪃⊛⇣(⋃$1295$)⩺⋐⫨)","expression":"((⪫⨮⊛(⪩⨒∯122023⨫⇇↔⪩⨒∯101100))∲⫓((⇙⪊⪩⨒∯132012)↫))≠≀((⪩⨒∯130131⨻⩈⩔⪩⨒∯322122)⪃⊛⇣(⋃⪩⨒∯110033)⩺⋐⫨)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1281,"operation_count":10,"complexity_ratio":128.1,"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":1675,"base":4},"right_expr":{"type":"numeric_atoms","value":1104,"base":4}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1926,"base":4}}}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1821,"base":4},"right_expr":{"type":"numeric_atoms","value":3738,"base":4}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1295,"base":4}}}}},"used_operators":["IwW236VD4Y","i8ToyICDmI","w5FWba1tyO","LXhwmt4mBO","uPb5QRN0te","pB6Fcnrjim","yS9ePUuUdn","rrgAzCduG9","nEsXyWgiOK","3mBM5G4a3l"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","g55IO6H4Gj"],"result":"⪩⨒∯12112","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1675","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=1104, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=-527","layer":2},{"info":"number node, value=1926","layer":4},{"info":"compute unary expreesion, input=1926, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , 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=-527, right_input=160, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-527","layer":1},{"info":"number node, value=1821","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=3738, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=6167","layer":3},{"info":"number node, value=1295","layer":4},{"info":"compute unary expreesion, input=1295, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2692","layer":3},{"info":"compute binary expreesion, left_input=6167, right_input=2692, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, 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 = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=406","layer":0}],"base":4,"result_base":4,"text":"((⪫⨮⊛(⪩⨒∯122023⨫⇇↔⪩⨒∯101100))∲⫓((⇙⪊⪩⨒∯132012)↫))≠≀((⪩⨒∯130131⨻⩈⩔⪩⨒∯322122)⪃⊛⇣(⋃⪩⨒∯110033)⩺⋐⫨)=⪩⨒∯12112","reverse_text":"⪩⨒∯12112=((⪫⨮⊛(⪩⨒∯122023⨫⇇↔⪩⨒∯101100))∲⫓((⇙⪊⪩⨒∯132012)↫))≠≀((⪩⨒∯130131⨻⩈⩔⪩⨒∯322122)⪃⊛⇣(⋃⪩⨒∯110033)⩺⋐⫨)","cot":[{"info":"⪩⨒∯122023⨫⇇↔⪩⨒∯101100=⪩⨒∯-20033","layer":3},{"info":"⪫⨮⊛⪩⨒∯-20033=⪩⨒∯-20033","layer":2},{"info":"⇙⪊⪩⨒∯132012=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0↫=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯-20033∲⫓⪩⨒∯2200=⪩⨒∯-20033","layer":1},{"info":"⪩⨒∯130131⨻⩈⩔⪩⨒∯322122=⪩⨒∯1200113","layer":3},{"info":"⋃⪩⨒∯110033=⪩⨒∯222010","layer":3},{"info":"⪩⨒∯1200113⪃⊛⇣⪩⨒∯222010=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯103102⩺⋐⫨=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-20033≠≀⪩⨒∯0=⪩⨒∯12112","layer":0}]}
{"id":50,"expression_no_base_symbol":"(($1544$⨽$4348$)⪶≀⋏$5938$⪔⊥$4706$)≨(($4193$≃⋄)⨎$3460$⪘⫢$2214$)∠↢($3410$⨭⪣$1701$)⇤($3265$⇴$2457$)⨻⩈⩔(($1451$⊴⇁⪶)≀⩗∶(⊖∈$1342$))","expression":"((⪩⨒∯120020⨽⪩⨒∯1003330)⪶≀⋏⪩⨒∯1130302⪔⊥⪩⨒∯1021202)≨((⪩⨒∯1001201≃⋄)⨎⪩⨒∯312010⪘⫢⪩⨒∯202212)∠↢(⪩⨒∯311102⨭⪣⪩⨒∯122211)⇤(⪩⨒∯303001⇴⪩⨒∯212121)⨻⩈⩔((⪩⨒∯112223⊴⇁⪶)≀⩗∶(⊖∈⪩⨒∯110332))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3514,"operation_count":15,"complexity_ratio":234.26666666666668,"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":1544,"base":4},"right_expr":{"type":"numeric_atoms","value":4348,"base":4}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5938,"base":4},"right_expr":{"type":"numeric_atoms","value":4706,"base":4}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":4193,"base":4}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3460,"base":4},"right_expr":{"type":"numeric_atoms","value":2214,"base":4}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3410,"base":4},"right_expr":{"type":"numeric_atoms","value":1701,"base":4}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3265,"base":4},"right_expr":{"type":"numeric_atoms","value":2457,"base":4}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1451,"base":4}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":1342,"base":4}}}}},"used_operators":["KbjG8mgYpV","0KMCeP1Jsh","zR4jO40bMj","8HhzD0ZcuI","HJ9erzHUuu","rJVOvQCfKK","aN9a90urxU","oacrs7FA3X","nEsXyWgiOK","YSKBFp38Pu","kn8WO9XteQ","4JB6nKBMSY","8INZBEW696","oo9mF6JIpo","YFxL8Sc2Zy"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","uFcxV4UQCh","jLgFTUHLKL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","sdazOOVcIp","NTOWxs364D","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu"],"result":"⪩⨒∯101033031032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"number node, value=4348","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=4348, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7163538","layer":3},{"info":"number node, value=5938","layer":4},{"info":"number node, value=4706","layer":4},{"info":"compute binary expreesion, left_input=5938, right_input=4706, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=14141","layer":3},{"info":"compute binary expreesion, left_input=-7163538, right_input=14141, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=113128","layer":2},{"info":"number node, value=4193","layer":4},{"info":"compute unary expreesion, input=4193, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=3460","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=3460, right_input=2214, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6796","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=6796, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6796","layer":2},{"info":"compute binary expreesion, left_input=113128, right_input=6796, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-1128804","layer":1},{"info":"number node, value=3410","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=3410, right_input=1701, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2131","layer":3},{"info":"number node, value=3265","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=3265, right_input=2457, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=24118","layer":3},{"info":"compute binary expreesion, left_input=2131, right_input=24118, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-128397","layer":2},{"info":"number node, value=1451","layer":4},{"info":"compute unary expreesion, input=1451, 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=24244","layer":3},{"info":"number node, value=1342","layer":4},{"info":"compute unary expreesion, input=1342, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=21246","layer":3},{"info":"compute binary expreesion, left_input=24244, right_input=21246, 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=-128397, right_input=0, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=-1128804, right_input=-174, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=4518734","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯120020⨽⪩⨒∯1003330)⪶≀⋏⪩⨒∯1130302⪔⊥⪩⨒∯1021202)≨((⪩⨒∯1001201≃⋄)⨎⪩⨒∯312010⪘⫢⪩⨒∯202212)∠↢(⪩⨒∯311102⨭⪣⪩⨒∯122211)⇤(⪩⨒∯303001⇴⪩⨒∯212121)⨻⩈⩔((⪩⨒∯112223⊴⇁⪶)≀⩗∶(⊖∈⪩⨒∯110332))=⪩⨒∯101033031032","reverse_text":"⪩⨒∯101033031032=((⪩⨒∯120020⨽⪩⨒∯1003330)⪶≀⋏⪩⨒∯1130302⪔⊥⪩⨒∯1021202)≨((⪩⨒∯1001201≃⋄)⨎⪩⨒∯312010⪘⫢⪩⨒∯202212)∠↢(⪩⨒∯311102⨭⪣⪩⨒∯122211)⇤(⪩⨒∯303001⇴⪩⨒∯212121)⨻⩈⩔((⪩⨒∯112223⊴⇁⪶)≀⩗∶(⊖∈⪩⨒∯110332))","cot":[{"info":"⪩⨒∯120020⨽⪩⨒∯1003330=⪩⨒∯-123110322102","layer":3},{"info":"⪩⨒∯1130302⪔⊥⪩⨒∯1021202=⪩⨒∯3130331","layer":3},{"info":"⪩⨒∯-123110322102⪶≀⋏⪩⨒∯3130331=⪩⨒∯123213220","layer":2},{"info":"⪩⨒∯1001201≃⋄=⪩⨒∯23330","layer":3},{"info":"⪩⨒∯312010⪘⫢⪩⨒∯202212=⪩⨒∯1222030","layer":3},{"info":"⪩⨒∯23330⨎⪩⨒∯1222030=⪩⨒∯1222030","layer":2},{"info":"⪩⨒∯123213220≨⪩⨒∯1222030=⪩⨒∯-10103211210","layer":1},{"info":"⪩⨒∯311102⨭⪣⪩⨒∯122211=⪩⨒∯201103","layer":3},{"info":"⪩⨒∯303001⇴⪩⨒∯212121=⪩⨒∯11320312","layer":3},{"info":"⪩⨒∯201103⇤⪩⨒∯11320312=⪩⨒∯-133112031","layer":2},{"info":"⪩⨒∯112223⊴⇁⪶=⪩⨒∯11322310","layer":3},{"info":"⊖∈⪩⨒∯110332=⪩⨒∯11023332","layer":3},{"info":"⪩⨒∯11322310≀⩗∶⪩⨒∯11023332=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-133112031⨻⩈⩔⪩⨒∯0=⪩⨒∯-2232","layer":1},{"info":"⪩⨒∯-10103211210∠↢⪩⨒∯-2232=⪩⨒∯101033031032","layer":0}]}
{"id":51,"expression_no_base_symbol":"(($3828$≓∲$9649$)⪮%⊝($2822$⪇≇⋚$8860$)⊦⊿)⩨($3149$∖$1457$)∊∟⩊$3225$⨥⫆$1237$⋾⨃∁(($1424$⩏)⩒⫫($2582$⪕$1368$))","expression":"((⪩⨒∯323310≓∲⪩⨒∯2112301)⪮%⊝(⪩⨒∯230012⪇≇⋚⪩⨒∯2022130)⊦⊿)⩨(⪩⨒∯301031∖⪩⨒∯112301)∊∟⩊⪩⨒∯302121⨥⫆⪩⨒∯103111⋾⨃∁((⪩⨒∯112100⩏)⩒⫫(⪩⨒∯220112⪕⪩⨒∯111120))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1822,"operation_count":12,"complexity_ratio":151.83333333333334,"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":3828,"base":4},"right_expr":{"type":"numeric_atoms","value":9649,"base":4}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2822,"base":4},"right_expr":{"type":"numeric_atoms","value":8860,"base":4}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3149,"base":4},"right_expr":{"type":"numeric_atoms","value":1457,"base":4}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3225,"base":4},"right_expr":{"type":"numeric_atoms","value":1237,"base":4}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":1424,"base":4}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2582,"base":4},"right_expr":{"type":"numeric_atoms","value":1368,"base":4}}}}},"used_operators":["2DlMacCsIx","14qkJME0vr","IWmyXbctLI","s1XTVnmDOJ","3sJ7IOPOlU","212REbPD9h","ddLRYrp01A","tXD093vOjl","yXekIHxTD4","KFSx94NKJn","iA2gmKZ3Wj","umQnsF7QlU"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","z6LnFrNh4i","Tcnh7f0tEr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3828","layer":4},{"info":"number node, value=9649","layer":4},{"info":"compute binary expreesion, left_input=3828, right_input=9649, 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=39063","layer":3},{"info":"number node, value=2822","layer":4},{"info":"number node, value=8860","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=8860, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=39063, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=3149","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=3149, right_input=1457, 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=3225","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=3225, right_input=1237, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2350","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2350, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2350","layer":2},{"info":"number node, value=1424","layer":4},{"info":"compute unary expreesion, input=1424, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"number node, value=2582","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=1368, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=4697","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4697, 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=2350, right_input=-818, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=6700962","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6700962, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯323310≓∲⪩⨒∯2112301)⪮%⊝(⪩⨒∯230012⪇≇⋚⪩⨒∯2022130)⊦⊿)⩨(⪩⨒∯301031∖⪩⨒∯112301)∊∟⩊⪩⨒∯302121⨥⫆⪩⨒∯103111⋾⨃∁((⪩⨒∯112100⩏)⩒⫫(⪩⨒∯220112⪕⪩⨒∯111120))=NaN","reverse_text":"NaN=((⪩⨒∯323310≓∲⪩⨒∯2112301)⪮%⊝(⪩⨒∯230012⪇≇⋚⪩⨒∯2022130)⊦⊿)⩨(⪩⨒∯301031∖⪩⨒∯112301)∊∟⩊⪩⨒∯302121⨥⫆⪩⨒∯103111⋾⨃∁((⪩⨒∯112100⩏)⩒⫫(⪩⨒∯220112⪕⪩⨒∯111120))","cot":[{"info":"⪩⨒∯323310≓∲⪩⨒∯2112301=⪩⨒∯21202113","layer":3},{"info":"⪩⨒∯230012⪇≇⋚⪩⨒∯2022130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯21202113⪮%⊝⪩⨒∯0=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⪩⨒∯301031∖⪩⨒∯112301=⪩⨒∯0","layer":3},{"info":"⪩⨒∯302121⨥⫆⪩⨒∯103111=⪩⨒∯210232","layer":3},{"info":"⪩⨒∯0∊∟⩊⪩⨒∯210232=⪩⨒∯210232","layer":2},{"info":"⪩⨒∯112100⩏=⪩⨒∯0","layer":3},{"info":"⪩⨒∯220112⪕⪩⨒∯111120=⪩⨒∯1021121","layer":3},{"info":"⪩⨒∯0⩒⫫⪩⨒∯1021121=⪩⨒∯-30302","layer":2},{"info":"⪩⨒∯210232⋾⨃∁⪩⨒∯-30302=⪩⨒∯121203332202","layer":1},{"info":"NaN⩨⪩⨒∯121203332202=NaN","layer":0}]}
{"id":52,"expression_no_base_symbol":"⋣((⨭⩧⫛$1280$)⋛($5415$⪕$2187$))∳⫺($2257$⪶≀⋏$6079$⪍↜⋙($2756$⪔$1529$))","expression":"⋣((⨭⩧⫛⪩⨒∯110000)⋛(⪩⨒∯1110213⪕⪩⨒∯202023))∳⫺(⪩⨒∯203101⪶≀⋏⪩⨒∯1132333⪍↜⋙(⪩⨒∯223010⪔⪩⨒∯113321))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2189,"operation_count":8,"complexity_ratio":273.625,"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":1280,"base":4}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":5415,"base":4},"right_expr":{"type":"numeric_atoms","value":2187,"base":4}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2257,"base":4},"right_expr":{"type":"numeric_atoms","value":6079,"base":4}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2756,"base":4},"right_expr":{"type":"numeric_atoms","value":1529,"base":4}}}}},"used_operators":["zQWRhDnn8F","AzXXKTstlj","YbUVn0Rbpy","g21JL6JxX7","umQnsF7QlU","L05ObWFQCd","zR4jO40bMj","GjBEYRfMaF"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⪩⨒∯-1301","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1280","layer":4},{"info":"compute unary expreesion, input=1280, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=5415","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=5415, right_input=2187, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9544","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9544, 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":2},{"info":"number node, value=2257","layer":4},{"info":"number node, value=6079","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=6079, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19161","layer":3},{"info":"number node, value=2756","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=1529, 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=-19161, right_input=450, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=94122","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=94122, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":4,"result_base":4,"text":"⋣((⨭⩧⫛⪩⨒∯110000)⋛(⪩⨒∯1110213⪕⪩⨒∯202023))∳⫺(⪩⨒∯203101⪶≀⋏⪩⨒∯1132333⪍↜⋙(⪩⨒∯223010⪔⪩⨒∯113321))=⪩⨒∯-1301","reverse_text":"⪩⨒∯-1301=⋣((⨭⩧⫛⪩⨒∯110000)⋛(⪩⨒∯1110213⪕⪩⨒∯202023))∳⫺(⪩⨒∯203101⪶≀⋏⪩⨒∯1132333⪍↜⋙(⪩⨒∯223010⪔⪩⨒∯113321))","cot":[{"info":"⨭⩧⫛⪩⨒∯110000=NaN","layer":3},{"info":"⪩⨒∯1110213⪕⪩⨒∯202023=⪩⨒∯2111020","layer":3},{"info":"NaN⋛⪩⨒∯2111020=NaN","layer":2},{"info":"⪩⨒∯203101⪶≀⋏⪩⨒∯1132333=⪩⨒∯-10223121","layer":3},{"info":"⪩⨒∯223010⪔⪩⨒∯113321=⪩⨒∯13002","layer":3},{"info":"⪩⨒∯-10223121⪍↜⋙⪩⨒∯13002=⪩⨒∯112332222","layer":2},{"info":"NaN∳⫺⪩⨒∯112332222=⪩⨒∯-10010","layer":1},{"info":"⋣⪩⨒∯-10010=⪩⨒∯-1301","layer":0}]}
{"id":53,"expression_no_base_symbol":"(⩎⋉($2842$⩺⪪$4005$))∀⇚≩($1363$⩍⋽⫝̸$3900$∙⊟$1946$≀⩗∶$1461$)∷($2537$↬$1078$⩷∴($2303$⪨⊡$7524$))⋹⋡⊁(($5086$⪇≇⋚$2860$)⋥⋵⩄($8412$⪕$5445$))","expression":"(⩎⋉(⪩⨒∯230122⩺⪪⪩⨒∯332211))∀⇚≩(⪩⨒∯111103⩍⋽⫝̸⪩⨒∯330330∙⊟⪩⨒∯132122≀⩗∶⪩⨒∯112311)∷(⪩⨒∯213221↬⪩⨒∯100312⩷∴(⪩⨒∯203333⪨⊡⪩⨒∯1311210))⋹⋡⊁((⪩⨒∯1033132⪇≇⋚⪩⨒∯230230)⋥⋵⩄(⪩⨒∯2003130⪕⪩⨒∯1111011))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14886,"operation_count":14,"complexity_ratio":1063.2857142857142,"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":2842,"base":4},"right_expr":{"type":"numeric_atoms","value":4005,"base":4}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1363,"base":4},"right_expr":{"type":"numeric_atoms","value":3900,"base":4}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1946,"base":4},"right_expr":{"type":"numeric_atoms","value":1461,"base":4}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2537,"base":4},"right_expr":{"type":"numeric_atoms","value":1078,"base":4}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2303,"base":4},"right_expr":{"type":"numeric_atoms","value":7524,"base":4}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":5086,"base":4},"right_expr":{"type":"numeric_atoms","value":2860,"base":4}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":8412,"base":4},"right_expr":{"type":"numeric_atoms","value":5445,"base":4}}}}},"used_operators":["D3AQDKkPcf","LRNGc0VcxI","FlXk3pOYe8","uvdQJvN4PV","SxTAKzQCrw","BiWNJpBvwn","8INZBEW696","As8RqfVLgs","9FxExcQeMw","B5M0gjZbta","kuIXHzHcAH","7t3wd0Fuz7","3sJ7IOPOlU","umQnsF7QlU"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","X99M06cbEe","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Ph9nP6C5qx","xUOZtlo3hN","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","rGHVDoGpnC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2842","layer":4},{"info":"number node, value=4005","layer":4},{"info":"compute binary expreesion, left_input=2842, right_input=4005, 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 = 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":"number node, value=1363","layer":4},{"info":"number node, value=3900","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=3900, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2954","layer":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=1461, 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=2954, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=48248","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=48248, 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=2537","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=1078, 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=2303","layer":4},{"info":"number node, value=7524","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=7524, 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=5086","layer":4},{"info":"number node, value=2860","layer":4},{"info":"compute binary expreesion, left_input=5086, right_input=2860, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=8412","layer":4},{"info":"number node, value=5445","layer":4},{"info":"compute binary expreesion, left_input=8412, right_input=5445, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=12280","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12280, 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 = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":4,"result_base":4,"text":"(⩎⋉(⪩⨒∯230122⩺⪪⪩⨒∯332211))∀⇚≩(⪩⨒∯111103⩍⋽⫝̸⪩⨒∯330330∙⊟⪩⨒∯132122≀⩗∶⪩⨒∯112311)∷(⪩⨒∯213221↬⪩⨒∯100312⩷∴(⪩⨒∯203333⪨⊡⪩⨒∯1311210))⋹⋡⊁((⪩⨒∯1033132⪇≇⋚⪩⨒∯230230)⋥⋵⩄(⪩⨒∯2003130⪕⪩⨒∯1111011))=NaN","reverse_text":"NaN=(⩎⋉(⪩⨒∯230122⩺⪪⪩⨒∯332211))∀⇚≩(⪩⨒∯111103⩍⋽⫝̸⪩⨒∯330330∙⊟⪩⨒∯132122≀⩗∶⪩⨒∯112311)∷(⪩⨒∯213221↬⪩⨒∯100312⩷∴(⪩⨒∯203333⪨⊡⪩⨒∯1311210))⋹⋡⊁((⪩⨒∯1033132⪇≇⋚⪩⨒∯230230)⋥⋵⩄(⪩⨒∯2003130⪕⪩⨒∯1111011))","cot":[{"info":"⪩⨒∯230122⩺⪪⪩⨒∯332211=⪩⨒∯-130122","layer":3},{"info":"⩎⋉⪩⨒∯-130122=⪩⨒∯121302","layer":2},{"info":"⪩⨒∯111103⩍⋽⫝̸⪩⨒∯330330=⪩⨒∯232022","layer":3},{"info":"⪩⨒∯132122≀⩗∶⪩⨒∯112311=⪩⨒∯0","layer":3},{"info":"⪩⨒∯232022∙⊟⪩⨒∯0=⪩⨒∯23301320","layer":2},{"info":"⪩⨒∯121302∀⇚≩⪩⨒∯23301320=NaN","layer":1},{"info":"⪩⨒∯213221↬⪩⨒∯100312=NaN","layer":3},{"info":"⪩⨒∯203333⪨⊡⪩⨒∯1311210=⪩⨒∯0","layer":3},{"info":"NaN⩷∴⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯1033132⪇≇⋚⪩⨒∯230230=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2003130⪕⪩⨒∯1111011=⪩⨒∯2333320","layer":3},{"info":"⪩⨒∯0⋥⋵⩄⪩⨒∯2333320=⪩⨒∯1301","layer":2},{"info":"NaN⋹⋡⊁⪩⨒∯1301=NaN","layer":1},{"info":"NaN∷NaN=NaN","layer":0}]}
{"id":54,"expression_no_base_symbol":"($6328$↱$3017$↸$1953$≓∲$1359$)⋹⋡⊁(($4355$⩨$1850$)⨻⩈⩔($5610$⪡$4541$))⪨⊡(≀↧⇸$5198$∳⫺$1080$)≎⪠(⇁⨣⪵$1741$∌$6481$)","expression":"(⪩⨒∯1202320↱⪩⨒∯233021↸⪩⨒∯132201≓∲⪩⨒∯111033)⋹⋡⊁((⪩⨒∯1010003⩨⪩⨒∯130322)⨻⩈⩔(⪩⨒∯1113222⪡⪩⨒∯1012331))⪨⊡(≀↧⇸⪩⨒∯1101032∳⫺⪩⨒∯100320)≎⪠(⇁⨣⪵⪩⨒∯123031∌⪩⨒∯1211101)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27916,"operation_count":13,"complexity_ratio":2147.3846153846152,"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":6328,"base":4},"right_expr":{"type":"numeric_atoms","value":3017,"base":4}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1953,"base":4},"right_expr":{"type":"numeric_atoms","value":1359,"base":4}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4355,"base":4},"right_expr":{"type":"numeric_atoms","value":1850,"base":4}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":5610,"base":4},"right_expr":{"type":"numeric_atoms","value":4541,"base":4}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":5198,"base":4},"right_expr":{"type":"numeric_atoms","value":1080,"base":4}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1741,"base":4},"right_expr":{"type":"numeric_atoms","value":6481,"base":4}}}}},"used_operators":["kuIXHzHcAH","As8RqfVLgs","1eCjFl0mb9","SR5kFfdi6N","s1XTVnmDOJ","nEsXyWgiOK","2DlMacCsIx","oraRL2iQuh","aNhz54LH3e","ljTHtUsqzn","AzXXKTstlj","inkyxCbjAn","8cLx32lpNA"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","XPYlsWDdGa","23Mk6UjR3U","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","B5M0gjZbta","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6328","layer":4},{"info":"number node, value=3017","layer":4},{"info":"compute binary expreesion, left_input=6328, right_input=3017, 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=-8529","layer":3},{"info":"number node, value=1953","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=1359, 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=20313","layer":3},{"info":"compute binary expreesion, left_input=-8529, right_input=20313, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-8529","layer":2},{"info":"number node, value=4355","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=4355, right_input=1850, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5610","layer":4},{"info":"number node, value=4541","layer":4},{"info":"compute binary expreesion, left_input=5610, right_input=4541, 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=0, right_input=107, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-8529, right_input=-174, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=136202","layer":1},{"info":"number node, value=5198","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=5198, right_input=1080, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=1040","layer":2},{"info":"number node, value=1741","layer":4},{"info":"number node, value=6481","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=6481, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6481","layer":3},{"info":"compute unary expreesion, input=-6481, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1040, 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":"compute binary expreesion, left_input=136202, right_input=19558, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1202320↱⪩⨒∯233021↸⪩⨒∯132201≓∲⪩⨒∯111033)⋹⋡⊁((⪩⨒∯1010003⩨⪩⨒∯130322)⨻⩈⩔(⪩⨒∯1113222⪡⪩⨒∯1012331))⪨⊡(≀↧⇸⪩⨒∯1101032∳⫺⪩⨒∯100320)≎⪠(⇁⨣⪵⪩⨒∯123031∌⪩⨒∯1211101)=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⪩⨒∯1202320↱⪩⨒∯233021↸⪩⨒∯132201≓∲⪩⨒∯111033)⋹⋡⊁((⪩⨒∯1010003⩨⪩⨒∯130322)⨻⩈⩔(⪩⨒∯1113222⪡⪩⨒∯1012331))⪨⊡(≀↧⇸⪩⨒∯1101032∳⫺⪩⨒∯100320)≎⪠(⇁⨣⪵⪩⨒∯123031∌⪩⨒∯1211101)","cot":[{"info":"⪩⨒∯1202320↱⪩⨒∯233021=⪩⨒∯-2011101","layer":3},{"info":"⪩⨒∯132201≓∲⪩⨒∯111033=⪩⨒∯10331121","layer":3},{"info":"⪩⨒∯-2011101↸⪩⨒∯10331121=⪩⨒∯-2011101","layer":2},{"info":"⪩⨒∯1010003⩨⪩⨒∯130322=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1113222⪡⪩⨒∯1012331=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯0⨻⩈⩔⪩⨒∯1223=⪩⨒∯-2232","layer":2},{"info":"⪩⨒∯-2011101⋹⋡⊁⪩⨒∯-2232=⪩⨒∯201100022","layer":1},{"info":"⪩⨒∯1101032∳⫺⪩⨒∯100320=⪩⨒∯-10010","layer":3},{"info":"≀↧⇸⪩⨒∯-10010=⪩⨒∯100100","layer":2},{"info":"⪩⨒∯123031∌⪩⨒∯1211101=⪩⨒∯-1211101","layer":3},{"info":"⇁⨣⪵⪩⨒∯-1211101=NaN","layer":2},{"info":"⪩⨒∯100100≎⪠NaN=⪩⨒∯10301212","layer":1},{"info":"⪩⨒∯201100022⪨⊡⪩⨒∯10301212=⪩⨒∯0","layer":0}]}
{"id":55,"expression_no_base_symbol":"↘(∨∊⋏(∜⨇$4033$))≁($3483$⫲≸⪮$3912$⪑⩈)","expression":"↘(∨∊⋏(∜⨇⪩⨒∯333001))≁(⪩⨒∯312123⫲≸⪮⪩⨒∯331020⪑⩈)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3638,"operation_count":6,"complexity_ratio":606.3333333333334,"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":4033,"base":4}}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3483,"base":4},"right_expr":{"type":"numeric_atoms","value":3912,"base":4}}}}},"used_operators":["LdNpr8hQHL","8N2wDY1A35","R5aXW34M0v","uFPyJr306J","C6VvDP6HwP","P3lXMJvFrc"],"dependent_operators":["uFcxV4UQCh","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4033","layer":4},{"info":"compute unary expreesion, input=4033, 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 unary expreesion, input=nan, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=nan","layer":2},{"info":"number node, value=3483","layer":4},{"info":"number node, value=3912","layer":4},{"info":"compute binary expreesion, left_input=3483, right_input=3912, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3483","layer":3},{"info":"compute unary expreesion, input=3483, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=25971","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=25971, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"↘(∨∊⋏(∜⨇⪩⨒∯333001))≁(⪩⨒∯312123⫲≸⪮⪩⨒∯331020⪑⩈)=NaN","reverse_text":"NaN=↘(∨∊⋏(∜⨇⪩⨒∯333001))≁(⪩⨒∯312123⫲≸⪮⪩⨒∯331020⪑⩈)","cot":[{"info":"∜⨇⪩⨒∯333001=NaN","layer":3},{"info":"∨∊⋏NaN=NaN","layer":2},{"info":"⪩⨒∯312123⫲≸⪮⪩⨒∯331020=⪩⨒∯312123","layer":3},{"info":"⪩⨒∯312123⪑⩈=⪩⨒∯12111303","layer":2},{"info":"NaN≁⪩⨒∯12111303=NaN","layer":1},{"info":"↘NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"(($3873$⪥$9758$)⪬(≯$2346$)⪃↞⩐)⨐⩸⫘(($8327$*$1350$)↳∿⪆(⫟$1390$))⫞⩸⩒($1223$∳⫺$5792$⊉↱≁($4180$↳∿⪆$5077$))","expression":"((⪩⨒∯330201⪥⪩⨒∯2120132)⪬(≯⪩⨒∯210222)⪃↞⩐)⨐⩸⫘((⪩⨒∯2002013*⪩⨒∯111012)↳∿⪆(⫟⪩⨒∯111232))⫞⩸⩒(⪩⨒∯103013∳⫺⪩⨒∯1122200⊉↱≁(⪩⨒∯1001110↳∿⪆⪩⨒∯1033111))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7661,"operation_count":12,"complexity_ratio":638.4166666666666,"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":3873,"base":4},"right_expr":{"type":"numeric_atoms","value":9758,"base":4}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2346,"base":4}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8327,"base":4},"right_expr":{"type":"numeric_atoms","value":1350,"base":4}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1390,"base":4}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1223,"base":4},"right_expr":{"type":"numeric_atoms","value":5792,"base":4}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4180,"base":4},"right_expr":{"type":"numeric_atoms","value":5077,"base":4}}}}},"used_operators":["fu6greOZ01","grXIztHqDa","Ez1Nq5fNfI","QbnwKVWMIQ","keWfFq85dY","XGcMNugi78","Cw4SuJJGHO","9HNa5Wba9A","z4E1FaHLuy","w2P8NbNXyL","AzXXKTstlj"],"dependent_operators":["3ViojmjbAp","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","JLbD19bQDL","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3873","layer":4},{"info":"number node, value=9758","layer":4},{"info":"compute binary expreesion, left_input=3873, right_input=9758, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=20144","layer":3},{"info":"number node, value=2346","layer":4},{"info":"compute unary expreesion, input=2346, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=20144, right_input=0, 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 = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=7710","layer":1},{"info":"number node, value=8327","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=8327, right_input=1350, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11241450","layer":3},{"info":"number node, value=1390","layer":4},{"info":"compute unary expreesion, input=1390, 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=-3263","layer":3},{"info":"compute binary expreesion, left_input=11241450, right_input=-3263, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1223","layer":4},{"info":"number node, value=5792","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=5792, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-6630","layer":3},{"info":"number node, value=4180","layer":4},{"info":"number node, value=5077","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=5077, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6630, 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 = 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":"compute binary expreesion, left_input=7710, 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":4,"result_base":4,"text":"((⪩⨒∯330201⪥⪩⨒∯2120132)⪬(≯⪩⨒∯210222)⪃↞⩐)⨐⩸⫘((⪩⨒∯2002013*⪩⨒∯111012)↳∿⪆(⫟⪩⨒∯111232))⫞⩸⩒(⪩⨒∯103013∳⫺⪩⨒∯1122200⊉↱≁(⪩⨒∯1001110↳∿⪆⪩⨒∯1033111))=NaN","reverse_text":"NaN=((⪩⨒∯330201⪥⪩⨒∯2120132)⪬(≯⪩⨒∯210222)⪃↞⩐)⨐⩸⫘((⪩⨒∯2002013*⪩⨒∯111012)↳∿⪆(⫟⪩⨒∯111232))⫞⩸⩒(⪩⨒∯103013∳⫺⪩⨒∯1122200⊉↱≁(⪩⨒∯1001110↳∿⪆⪩⨒∯1033111))","cot":[{"info":"⪩⨒∯330201⪥⪩⨒∯2120132=⪩⨒∯10322300","layer":3},{"info":"≯⪩⨒∯210222=⪩⨒∯0","layer":3},{"info":"⪩⨒∯10322300⪬⪩⨒∯0=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯103102⪃↞⩐=⪩⨒∯1320132","layer":1},{"info":"⪩⨒∯2002013*⪩⨒∯111012=⪩⨒∯222320133222","layer":3},{"info":"⫟⪩⨒∯111232=⪩⨒∯-302333","layer":3},{"info":"⪩⨒∯222320133222↳∿⪆⪩⨒∯-302333=NaN","layer":2},{"info":"⪩⨒∯103013∳⫺⪩⨒∯1122200=⪩⨒∯-1213212","layer":3},{"info":"⪩⨒∯1001110↳∿⪆⪩⨒∯1033111=NaN","layer":3},{"info":"⪩⨒∯-1213212⊉↱≁NaN=NaN","layer":2},{"info":"NaN⫞⩸⩒NaN=NaN","layer":1},{"info":"⪩⨒∯1320132⨐⩸⫘NaN=NaN","layer":0}]}
{"id":57,"expression_no_base_symbol":"(⊢≑≆$3119$)↢($4151$⇉⇱⇎)⩘(≇⪴$6067$⨽∌$1042$)≎⊠⪸($7241$⊢$2688$∙∹∝$3351$⨓$4590$)∌($1111$⨎$1309$∙⊟($1523$/$2190$))","expression":"(⊢≑≆⪩⨒∯300233)↢(⪩⨒∯1000313⇉⇱⇎)⩘(≇⪴⪩⨒∯1132303⨽∌⪩⨒∯100102)≎⊠⪸(⪩⨒∯1301021⊢⪩⨒∯222000∙∹∝⪩⨒∯310113⨓⪩⨒∯1013232)∌(⪩⨒∯101113⨎⪩⨒∯110131∙⊟(⪩⨒∯113303/⪩⨒∯202032))","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6249,"operation_count":14,"complexity_ratio":446.35714285714283,"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":3119,"base":4}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":4151,"base":4}}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6067,"base":4},"right_expr":{"type":"numeric_atoms","value":1042,"base":4}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":7241,"base":4},"right_expr":{"type":"numeric_atoms","value":2688,"base":4}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3351,"base":4},"right_expr":{"type":"numeric_atoms","value":4590,"base":4}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1111,"base":4},"right_expr":{"type":"numeric_atoms","value":1309,"base":4}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1523,"base":4},"right_expr":{"type":"numeric_atoms","value":2190,"base":4}}}}},"used_operators":["bJkvcejdHO","cHh1gJQ2o6","WR6HLWljOP","27wFxooxGf","MRPaB8lBjK","zoVPnxeHJ3","9samAPKr6k","8cLx32lpNA","HmxsFra2vL","5twsqlHp2o","3ViojmjbAp","SxTAKzQCrw","rJVOvQCfKK","XhwjNDsVaA"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3119","layer":4},{"info":"compute unary expreesion, input=3119, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=12928","layer":3},{"info":"number node, value=4151","layer":4},{"info":"compute unary expreesion, input=4151, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-3933","layer":3},{"info":"compute binary expreesion, left_input=12928, right_input=-3933, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=12444","layer":2},{"info":"number node, value=6067","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=6067, right_input=1042, 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 = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=12444, 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=7241","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=7241, right_input=2688, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-14726","layer":3},{"info":"number node, value=3351","layer":4},{"info":"number node, value=4590","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=4590, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4593","layer":3},{"info":"compute binary expreesion, left_input=-14726, right_input=-4593, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=1111","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=1309, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1309","layer":3},{"info":"number node, value=1523","layer":4},{"info":"number node, value=2190","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=2190, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=1309, right_input=0, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=26863","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=26863, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-26863","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-26863, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":4,"result_base":4,"text":"(⊢≑≆⪩⨒∯300233)↢(⪩⨒∯1000313⇉⇱⇎)⩘(≇⪴⪩⨒∯1132303⨽∌⪩⨒∯100102)≎⊠⪸(⪩⨒∯1301021⊢⪩⨒∯222000∙∹∝⪩⨒∯310113⨓⪩⨒∯1013232)∌(⪩⨒∯101113⨎⪩⨒∯110131∙⊟(⪩⨒∯113303/⪩⨒∯202032))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=(⊢≑≆⪩⨒∯300233)↢(⪩⨒∯1000313⇉⇱⇎)⩘(≇⪴⪩⨒∯1132303⨽∌⪩⨒∯100102)≎⊠⪸(⪩⨒∯1301021⊢⪩⨒∯222000∙∹∝⪩⨒∯310113⨓⪩⨒∯1013232)∌(⪩⨒∯101113⨎⪩⨒∯110131∙⊟(⪩⨒∯113303/⪩⨒∯202032))","cot":[{"info":"⊢≑≆⪩⨒∯300233=⪩⨒∯3022000","layer":3},{"info":"⪩⨒∯1000313⇉⇱⇎=⪩⨒∯-331131","layer":3},{"info":"⪩⨒∯3022000↢⪩⨒∯-331131=⪩⨒∯3002130","layer":2},{"info":"⪩⨒∯1132303⨽∌⪩⨒∯100102=⪩⨒∯0","layer":3},{"info":"≇⪴⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯3002130⩘⪩⨒∯0=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯1301021⊢⪩⨒∯222000=⪩⨒∯-3212012","layer":3},{"info":"⪩⨒∯310113⨓⪩⨒∯1013232=⪩⨒∯-1013301","layer":3},{"info":"⪩⨒∯-3212012∙∹∝⪩⨒∯-1013301=⪩⨒∯0","layer":2},{"info":"⪩⨒∯101113⨎⪩⨒∯110131=⪩⨒∯110131","layer":3},{"info":"⪩⨒∯113303/⪩⨒∯202032=⪩⨒∯0","layer":3},{"info":"⪩⨒∯110131∙⊟⪩⨒∯0=⪩⨒∯12203233","layer":2},{"info":"⪩⨒∯0∌⪩⨒∯12203233=⪩⨒∯-12203233","layer":1},{"info":"⪩⨒∯2200≎⊠⪸⪩⨒∯-12203233=⪩⨒∯1003","layer":0}]}
{"id":58,"expression_no_base_symbol":"⨆≐≲(((⊑$6917$)⋥⋵⩄($3234$⫢⨠$2094$))↢($1188$⩒⫫$3345$⊋≦⊧$1768$⋣⋖$6802$))","expression":"⨆≐≲(((⊑⪩⨒∯1230011)⋥⋵⩄(⪩⨒∯302202⫢⨠⪩⨒∯200232))↢(⪩⨒∯102210⩒⫫⪩⨒∯310101⊋≦⊧⪩⨒∯123220⋣⋖⪩⨒∯1222102))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":665,"operation_count":8,"complexity_ratio":83.125,"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":6917,"base":4}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":3234,"base":4},"right_expr":{"type":"numeric_atoms","value":2094,"base":4}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1188,"base":4},"right_expr":{"type":"numeric_atoms","value":3345,"base":4}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1768,"base":4},"right_expr":{"type":"numeric_atoms","value":6802,"base":4}}}}},"used_operators":["Bi9z9uYZqW","WR6HLWljOP","7t3wd0Fuz7","IkUmn0D7oy","xlXykHWxX1","oRDoc9rAEX","KFSx94NKJn","J0M6qkBnIM"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⪩⨒∯-221021210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6917","layer":4},{"info":"compute unary expreesion, input=6917, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=3234","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=2094, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=160, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=1188","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=3345, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=886","layer":3},{"info":"number node, value=1768","layer":4},{"info":"number node, value=6802","layer":4},{"info":"compute binary expreesion, left_input=1768, right_input=6802, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1768","layer":3},{"info":"compute binary expreesion, left_input=886, right_input=1768, 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=-2414","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-2414, 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 unary expreesion, input=-484, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":0}],"base":4,"result_base":4,"text":"⨆≐≲(((⊑⪩⨒∯1230011)⋥⋵⩄(⪩⨒∯302202⫢⨠⪩⨒∯200232))↢(⪩⨒∯102210⩒⫫⪩⨒∯310101⊋≦⊧⪩⨒∯123220⋣⋖⪩⨒∯1222102))=⪩⨒∯-221021210","reverse_text":"⪩⨒∯-221021210=⨆≐≲(((⊑⪩⨒∯1230011)⋥⋵⩄(⪩⨒∯302202⫢⨠⪩⨒∯200232))↢(⪩⨒∯102210⩒⫫⪩⨒∯310101⊋≦⊧⪩⨒∯123220⋣⋖⪩⨒∯1222102))","cot":[{"info":"⊑⪩⨒∯1230011=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯302202⫢⨠⪩⨒∯200232=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯3000⋥⋵⩄⪩⨒∯2200=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯102210⩒⫫⪩⨒∯310101=⪩⨒∯31312","layer":3},{"info":"⪩⨒∯123220⋣⋖⪩⨒∯1222102=⪩⨒∯123220","layer":3},{"info":"⪩⨒∯31312⊋≦⊧⪩⨒∯123220=⪩⨒∯-211232","layer":2},{"info":"⪩⨒∯1301↢⪩⨒∯-211232=⪩⨒∯-13210","layer":1},{"info":"⨆≐≲⪩⨒∯-13210=⪩⨒∯-221021210","layer":0}]}
{"id":59,"expression_no_base_symbol":"(($6463$⊊)∠↢$2575$⨎$1119$⪉⨛(⊵⊁($1060$⋕⪉⪜$2410$)))⫩⊇","expression":"((⪩⨒∯1210333⊊)∠↢⪩⨒∯220033⨎⪩⨒∯101133⪉⨛(⊵⊁(⪩⨒∯100210⋕⪉⪜⪩⨒∯211222)))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":315,"operation_count":7,"complexity_ratio":45.0,"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":6463,"base":4}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2575,"base":4},"right_expr":{"type":"numeric_atoms","value":1119,"base":4}}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1060,"base":4},"right_expr":{"type":"numeric_atoms","value":2410,"base":4}}}}},"used_operators":["BjRHVeLaeN","EWw2JM7wp4","KbjG8mgYpV","W9R8I5fN5A","rJVOvQCfKK","AvED76WdY7","z6LnFrNh4i"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","uBihLCJcMX","k8jYdgA6NY","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⪩⨒∯10111333000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6463","layer":4},{"info":"compute unary expreesion, input=6463, 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=2575","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=1119, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1119","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=1119, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-378292","layer":2},{"info":"number node, value=1060","layer":4},{"info":"number node, value=2410","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=2410, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=1307","layer":2},{"info":"compute binary expreesion, left_input=-378292, right_input=1307, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1138582","layer":1},{"info":"compute unary expreesion, input=-1138582, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=1138624","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1210333⊊)∠↢⪩⨒∯220033⨎⪩⨒∯101133⪉⨛(⊵⊁(⪩⨒∯100210⋕⪉⪜⪩⨒∯211222)))⫩⊇=⪩⨒∯10111333000","reverse_text":"⪩⨒∯10111333000=((⪩⨒∯1210333⊊)∠↢⪩⨒∯220033⨎⪩⨒∯101133⪉⨛(⊵⊁(⪩⨒∯100210⋕⪉⪜⪩⨒∯211222)))⫩⊇","cot":[{"info":"⪩⨒∯1210333⊊=⪩⨒∯112030233","layer":3},{"info":"⪩⨒∯220033⨎⪩⨒∯101133=⪩⨒∯101133","layer":3},{"info":"⪩⨒∯112030233∠↢⪩⨒∯101133=⪩⨒∯-1130112310","layer":2},{"info":"⪩⨒∯100210⋕⪉⪜⪩⨒∯211222=⪩⨒∯3030","layer":3},{"info":"⊵⊁⪩⨒∯3030=⪩⨒∯110123","layer":2},{"info":"⪩⨒∯-1130112310⪉⨛⪩⨒∯110123=⪩⨒∯-10111332112","layer":1},{"info":"⪩⨒∯-10111332112⫩⊇=⪩⨒∯10111333000","layer":0}]}
{"id":60,"expression_no_base_symbol":"(($2871$⩹$1306$)⫸⊐$1902$≎⊠⪸$6824$)∌((↑$5122$)⨳⩥⨓$3432$≌$2104$)⫡⨏($1048$⨸$3975$∀⇚≩($1804$⨭⪣$7904$))⪘⫢($2388$↠)⨑⩅≇($4529$⪶≀⋏$1077$)","expression":"((⪩⨒∯230313⩹⪩⨒∯110122)⫸⊐⪩⨒∯131232≎⊠⪸⪩⨒∯1222220)∌((↑⪩⨒∯1100002)⨳⩥⨓⪩⨒∯311220≌⪩⨒∯200320)⫡⨏(⪩⨒∯100120⨸⪩⨒∯332013∀⇚≩(⪩⨒∯130030⨭⪣⪩⨒∯1323200))⪘⫢(⪩⨒∯211110↠)⨑⩅≇(⪩⨒∯1012301⪶≀⋏⪩⨒∯100311)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":18596,"operation_count":15,"complexity_ratio":1239.7333333333333,"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":2871,"base":4},"right_expr":{"type":"numeric_atoms","value":1306,"base":4}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1902,"base":4},"right_expr":{"type":"numeric_atoms","value":6824,"base":4}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":5122,"base":4}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":3432,"base":4},"right_expr":{"type":"numeric_atoms","value":2104,"base":4}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1048,"base":4},"right_expr":{"type":"numeric_atoms","value":3975,"base":4}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1804,"base":4},"right_expr":{"type":"numeric_atoms","value":7904,"base":4}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":2388,"base":4}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4529,"base":4},"right_expr":{"type":"numeric_atoms","value":1077,"base":4}}}}},"used_operators":["QMFrweE19q","8cLx32lpNA","mqXw5SEYmG","2Wsdkap16l","bJkvcejdHO","nCS4ZIUYfx","tR7O2zTn5j","lyWz822IDG","oacrs7FA3X","LRNGc0VcxI","KmoU8R5UQR","kn8WO9XteQ","h92wMvzauj","LBdsKIvxzf","zR4jO40bMj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2871","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=1306, 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=1304","layer":3},{"info":"number node, value=1902","layer":4},{"info":"number node, value=6824","layer":4},{"info":"compute binary expreesion, left_input=1902, right_input=6824, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=492145","layer":3},{"info":"compute binary expreesion, left_input=1304, right_input=492145, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=1968455","layer":2},{"info":"number node, value=5122","layer":4},{"info":"compute unary expreesion, input=5122, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=3432","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=3432, right_input=2104, 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=192, 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=1968455, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=1048","layer":4},{"info":"number node, value=3975","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=3975, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2096","layer":3},{"info":"number node, value=1804","layer":4},{"info":"number node, value=7904","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=7904, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=525","layer":3},{"info":"compute binary expreesion, left_input=2096, right_input=525, 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=2388","layer":4},{"info":"compute unary expreesion, input=2388, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=4529","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=4529, right_input=1077, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15973","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-15973, 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=3952","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3952, 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 = 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":4,"result_base":4,"text":"((⪩⨒∯230313⩹⪩⨒∯110122)⫸⊐⪩⨒∯131232≎⊠⪸⪩⨒∯1222220)∌((↑⪩⨒∯1100002)⨳⩥⨓⪩⨒∯311220≌⪩⨒∯200320)⫡⨏(⪩⨒∯100120⨸⪩⨒∯332013∀⇚≩(⪩⨒∯130030⨭⪣⪩⨒∯1323200))⪘⫢(⪩⨒∯211110↠)⨑⩅≇(⪩⨒∯1012301⪶≀⋏⪩⨒∯100311)=NaN","reverse_text":"NaN=((⪩⨒∯230313⩹⪩⨒∯110122)⫸⊐⪩⨒∯131232≎⊠⪸⪩⨒∯1222220)∌((↑⪩⨒∯1100002)⨳⩥⨓⪩⨒∯311220≌⪩⨒∯200320)⫡⨏(⪩⨒∯100120⨸⪩⨒∯332013∀⇚≩(⪩⨒∯130030⨭⪣⪩⨒∯1323200))⪘⫢(⪩⨒∯211110↠)⨑⩅≇(⪩⨒∯1012301⪶≀⋏⪩⨒∯100311)","cot":[{"info":"⪩⨒∯230313⩹⪩⨒∯110122=⪩⨒∯110120","layer":3},{"info":"⪩⨒∯131232≎⊠⪸⪩⨒∯1222220=⪩⨒∯1320021301","layer":3},{"info":"⪩⨒∯110120⫸⊐⪩⨒∯1320021301=⪩⨒∯13200211013","layer":2},{"info":"↑⪩⨒∯1100002=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯311220≌⪩⨒∯200320=NaN","layer":3},{"info":"⪩⨒∯3000⨳⩥⨓NaN=NaN","layer":2},{"info":"⪩⨒∯13200211013∌NaN=NaN","layer":1},{"info":"⪩⨒∯100120⨸⪩⨒∯332013=⪩⨒∯200300","layer":3},{"info":"⪩⨒∯130030⨭⪣⪩⨒∯1323200=⪩⨒∯20031","layer":3},{"info":"⪩⨒∯200300∀⇚≩⪩⨒∯20031=NaN","layer":2},{"info":"⪩⨒∯211110↠=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1012301⪶≀⋏⪩⨒∯100311=⪩⨒∯-3321211","layer":3},{"info":"⪩⨒∯-12333⨑⩅≇⪩⨒∯-3321211=⪩⨒∯331300","layer":2},{"info":"NaN⪘⫢⪩⨒∯331300=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"(($1620$⩹$4937$)↬($4005$⊉≛↸$3416$)⪨⊡(⩦⊞$1293$)↤⩊(↑$2784$))⇣⩺⋵((($3374$%$1654$)↸($1041$↓⨍⋜))⪛⫼(⩏⊷≩$1367$∺≝⩲$2447$))","expression":"((⪩⨒∯121110⩹⪩⨒∯1031021)↬(⪩⨒∯332211⊉≛↸⪩⨒∯311120)⪨⊡(⩦⊞⪩⨒∯110031)↤⩊(↑⪩⨒∯223200))⇣⩺⋵(((⪩⨒∯310232%⪩⨒∯121312)↸(⪩⨒∯100101↓⨍⋜))⪛⫼(⩏⊷≩⪩⨒∯111113∺≝⩲⪩⨒∯212033))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":739,"operation_count":14,"complexity_ratio":52.785714285714285,"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":1620,"base":4},"right_expr":{"type":"numeric_atoms","value":4937,"base":4}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4005,"base":4},"right_expr":{"type":"numeric_atoms","value":3416,"base":4}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1293,"base":4}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2784,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3374,"base":4},"right_expr":{"type":"numeric_atoms","value":1654,"base":4}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":1041,"base":4}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1367,"base":4},"right_expr":{"type":"numeric_atoms","value":2447,"base":4}}}}},"used_operators":["F4yD0voBRQ","kuIXHzHcAH","B5M0gjZbta","2Wsdkap16l","DZ8iAZOCBD","13rbtpv6ld","u7fv1HBiaC","tR7O2zTn5j","hyuBjUqXlG","1eCjFl0mb9","k8jYdgA6NY","3DVzLFNsE9","uOZ1tnYMDE","KPf6cnQVty"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rGHVDoGpnC","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","23Mk6UjR3U","12rbrZMWeM","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⪩⨒∯-10010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1620","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=4937, 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=4935","layer":3},{"info":"number node, value=4005","layer":4},{"info":"number node, value=3416","layer":4},{"info":"compute binary expreesion, left_input=4005, right_input=3416, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8010","layer":3},{"info":"compute binary expreesion, left_input=4935, right_input=8010, 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":"number node, value=1293","layer":4},{"info":"compute unary expreesion, input=1293, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1020","layer":3},{"info":"number node, value=2784","layer":4},{"info":"compute unary expreesion, input=2784, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-1020, right_input=192, 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=nan, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=3374","layer":4},{"info":"number node, value=1654","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=1654, op_id = k8jYdgA6NY binary_op_definition= 'None', output=66","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=66, right_input=6590, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=66","layer":2},{"info":"number node, value=1367","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=2447, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=-26","layer":2},{"info":"compute binary expreesion, left_input=66, right_input=-26, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=259","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=259, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯121110⩹⪩⨒∯1031021)↬(⪩⨒∯332211⊉≛↸⪩⨒∯311120)⪨⊡(⩦⊞⪩⨒∯110031)↤⩊(↑⪩⨒∯223200))⇣⩺⋵(((⪩⨒∯310232%⪩⨒∯121312)↸(⪩⨒∯100101↓⨍⋜))⪛⫼(⩏⊷≩⪩⨒∯111113∺≝⩲⪩⨒∯212033))=⪩⨒∯-10010","reverse_text":"⪩⨒∯-10010=((⪩⨒∯121110⩹⪩⨒∯1031021)↬(⪩⨒∯332211⊉≛↸⪩⨒∯311120)⪨⊡(⩦⊞⪩⨒∯110031)↤⩊(↑⪩⨒∯223200))⇣⩺⋵(((⪩⨒∯310232%⪩⨒∯121312)↸(⪩⨒∯100101↓⨍⋜))⪛⫼(⩏⊷≩⪩⨒∯111113∺≝⩲⪩⨒∯212033))","cot":[{"info":"⪩⨒∯121110⩹⪩⨒∯1031021=⪩⨒∯1031013","layer":3},{"info":"⪩⨒∯332211⊉≛↸⪩⨒∯311120=⪩⨒∯1331022","layer":3},{"info":"⪩⨒∯1031013↬⪩⨒∯1331022=NaN","layer":2},{"info":"⩦⊞⪩⨒∯110031=⪩⨒∯-33330","layer":3},{"info":"↑⪩⨒∯223200=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯-33330↤⩊⪩⨒∯3000=NaN","layer":2},{"info":"NaN⪨⊡NaN=NaN","layer":1},{"info":"⪩⨒∯310232%⪩⨒∯121312=⪩⨒∯1002","layer":3},{"info":"⪩⨒∯100101↓⨍⋜=⪩⨒∯1212332","layer":3},{"info":"⪩⨒∯1002↸⪩⨒∯1212332=⪩⨒∯1002","layer":2},{"info":"⪩⨒∯111113∺≝⩲⪩⨒∯212033=⪩⨒∯2200","layer":3},{"info":"⩏⊷≩⪩⨒∯2200=⪩⨒∯-122","layer":2},{"info":"⪩⨒∯1002⪛⫼⪩⨒∯-122=⪩⨒∯10003","layer":1},{"info":"NaN⇣⩺⋵⪩⨒∯10003=⪩⨒∯-10010","layer":0}]}
{"id":62,"expression_no_base_symbol":"⇘(≤/(⊬↢($2597$⪛⫼$1642$)))","expression":"⇘(≤/(⊬↢(⪩⨒∯220211⪛⫼⪩⨒∯121222)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1723,"operation_count":4,"complexity_ratio":430.75,"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":2597,"base":4},"right_expr":{"type":"numeric_atoms","value":1642,"base":4}}}}},"used_operators":["MGuIdZPyUC","eLAdDNolq6","WPoGxAaPR1","hyuBjUqXlG"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","rysDP5nf3Z","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⪩⨒∯-21023021113","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2597","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=1642, 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 = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=218","layer":2},{"info":"compute unary expreesion, input=218, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=266","layer":1},{"info":"compute unary expreesion, input=266, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-2404951","layer":0}],"base":4,"result_base":4,"text":"⇘(≤/(⊬↢(⪩⨒∯220211⪛⫼⪩⨒∯121222)))=⪩⨒∯-21023021113","reverse_text":"⪩⨒∯-21023021113=⇘(≤/(⊬↢(⪩⨒∯220211⪛⫼⪩⨒∯121222)))","cot":[{"info":"⪩⨒∯220211⪛⫼⪩⨒∯121222=⪩⨒∯33020","layer":3},{"info":"⊬↢⪩⨒∯33020=⪩⨒∯3122","layer":2},{"info":"≤/⪩⨒∯3122=⪩⨒∯10022","layer":1},{"info":"⇘⪩⨒∯10022=⪩⨒∯-21023021113","layer":0}]}
{"id":63,"expression_no_base_symbol":"⫎≠⋺((∤↝($5895$⫳≱↱$2856$))⊲⩕⊾(($1053$⪁$2085$)≬⋮(⇋⊎⋝$8947$)))","expression":"⫎≠⋺((∤↝(⪩⨒∯1130013⫳≱↱⪩⨒∯230220))⊲⩕⊾((⪩⨒∯100131⪁⪩⨒∯200211)≬⋮(⇋⊎⋝⪩⨒∯2023303)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":61483693,"operation_count":7,"complexity_ratio":8783384.714285715,"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":5895,"base":4},"right_expr":{"type":"numeric_atoms","value":2856,"base":4}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1053,"base":4},"right_expr":{"type":"numeric_atoms","value":2085,"base":4}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"numeric_atoms","value":8947,"base":4}}}}},"used_operators":["LYeZOJ0nQG","DmTXOeWf9t","3UMq87Qwqg","ZvLB05nZmT","kbkesczE7y","I7sXao9hZE","CzM2PEoXns"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=5895","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=5895, right_input=2856, 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 = 3UMq87Qwqg, unary_op_definition = '∤↝a = { a , if ((a⊬⨰244)<=56 or (⫇a)>308 or (a⨐673)<=60) ; (((↩⪖a)⩼⇪↪(57∝206))↺(↩(⊲⪭a))) , else }', output=-204","layer":2},{"info":"number node, value=1053","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=2085, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=8947","layer":4},{"info":"compute unary expreesion, input=8947, 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 = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=nan, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⫎≠⋺((∤↝(⪩⨒∯1130013⫳≱↱⪩⨒∯230220))⊲⩕⊾((⪩⨒∯100131⪁⪩⨒∯200211)≬⋮(⇋⊎⋝⪩⨒∯2023303)))=NaN","reverse_text":"NaN=⫎≠⋺((∤↝(⪩⨒∯1130013⫳≱↱⪩⨒∯230220))⊲⩕⊾((⪩⨒∯100131⪁⪩⨒∯200211)≬⋮(⇋⊎⋝⪩⨒∯2023303)))","cot":[{"info":"⪩⨒∯1130013⫳≱↱⪩⨒∯230220=⪩⨒∯-3030","layer":3},{"info":"∤↝⪩⨒∯-3030=⪩⨒∯-3030","layer":2},{"info":"⪩⨒∯100131⪁⪩⨒∯200211=NaN","layer":3},{"info":"⇋⊎⋝⪩⨒∯2023303=NaN","layer":3},{"info":"NaN≬⋮NaN=NaN","layer":2},{"info":"⪩⨒∯-3030⊲⩕⊾NaN=NaN","layer":1},{"info":"⫎≠⋺NaN=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"((⩷$6392$)≬⇓$4607$⫲≸⪮$2163$)⩷∴(($2655$⩵∡$5893$)↠)⋻⩜⩜(($5430$⇴∐$3632$)⇡⇂($1470$⩚⊴⇥$4668$)⩁)","expression":"((⩷⪩⨒∯1203320)≬⇓⪩⨒∯1013333⫲≸⪮⪩⨒∯201303)⩷∴((⪩⨒∯221133⩵∡⪩⨒∯1130011)↠)⋻⩜⩜((⪩⨒∯1110312⇴∐⪩⨒∯320300)⇡⇂(⪩⨒∯112332⩚⊴⇥⪩⨒∯1020330)⩁)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":270176,"operation_count":11,"complexity_ratio":24561.454545454544,"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":6392,"base":4}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4607,"base":4},"right_expr":{"type":"numeric_atoms","value":2163,"base":4}}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2655,"base":4},"right_expr":{"type":"numeric_atoms","value":5893,"base":4}}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5430,"base":4},"right_expr":{"type":"numeric_atoms","value":3632,"base":4}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1470,"base":4},"right_expr":{"type":"numeric_atoms","value":4668,"base":4}}}}},"used_operators":["oDCm7WA9JY","9FxExcQeMw","jWTQ2TZYIH","1h0rLqGiFr","P3lXMJvFrc","LBdsKIvxzf","Y7wcNGrDQJ","5GqDbVmqXU","UMwdvZNt44","HnzytWxmAO","NTOWxs364D"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rysDP5nf3Z","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","NTOWxs364D","glklzrTFfD","tifHPKVTfV","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6392","layer":4},{"info":"compute unary expreesion, input=6392, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-76783","layer":3},{"info":"number node, value=4607","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=4607, right_input=2163, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4607","layer":3},{"info":"compute binary expreesion, left_input=-76783, right_input=4607, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=inf","layer":2},{"info":"number node, value=2655","layer":4},{"info":"number node, value=5893","layer":4},{"info":"compute binary expreesion, left_input=2655, right_input=5893, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=462","layer":3},{"info":"compute unary expreesion, input=462, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-447, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=5430","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=5430, right_input=3632, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1470","layer":4},{"info":"number node, value=4668","layer":4},{"info":"compute binary expreesion, left_input=1470, right_input=4668, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6259","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6259, 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 = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":4,"result_base":4,"text":"((⩷⪩⨒∯1203320)≬⇓⪩⨒∯1013333⫲≸⪮⪩⨒∯201303)⩷∴((⪩⨒∯221133⩵∡⪩⨒∯1130011)↠)⋻⩜⩜((⪩⨒∯1110312⇴∐⪩⨒∯320300)⇡⇂(⪩⨒∯112332⩚⊴⇥⪩⨒∯1020330)⩁)=NaN","reverse_text":"NaN=((⩷⪩⨒∯1203320)≬⇓⪩⨒∯1013333⫲≸⪮⪩⨒∯201303)⩷∴((⪩⨒∯221133⩵∡⪩⨒∯1130011)↠)⋻⩜⩜((⪩⨒∯1110312⇴∐⪩⨒∯320300)⇡⇂(⪩⨒∯112332⩚⊴⇥⪩⨒∯1020330)⩁)","cot":[{"info":"⩷⪩⨒∯1203320=⪩⨒∯-102233233","layer":3},{"info":"⪩⨒∯1013333⫲≸⪮⪩⨒∯201303=⪩⨒∯1013333","layer":3},{"info":"⪩⨒∯-102233233≬⇓⪩⨒∯1013333=Inf","layer":2},{"info":"⪩⨒∯221133⩵∡⪩⨒∯1130011=⪩⨒∯13032","layer":3},{"info":"⪩⨒∯13032↠=⪩⨒∯-12333","layer":2},{"info":"Inf⩷∴⪩⨒∯-12333=NaN","layer":1},{"info":"⪩⨒∯1110312⇴∐⪩⨒∯320300=NaN","layer":3},{"info":"⪩⨒∯112332⩚⊴⇥⪩⨒∯1020330=⪩⨒∯-1201303","layer":3},{"info":"NaN⇡⇂⪩⨒∯-1201303=NaN","layer":2},{"info":"NaN⩁=NaN","layer":1},{"info":"NaN⋻⩜⩜NaN=NaN","layer":0}]}
{"id":65,"expression_no_base_symbol":"(⪡⇡≛((⇜$3816$)⩁⩘($6538$⪚⩙≫)))⊉↱≁((⫎≠⋺($6461$≭$2372$))⨐⩸⫘($1427$⪔⊥$1059$)↹⊜(⋗⩬⋾$1437$))","expression":"(⪡⇡≛((⇜⪩⨒∯323220)⩁⩘(⪩⨒∯1212022⪚⩙≫)))⊉↱≁((⫎≠⋺(⪩⨒∯1210331≭⪩⨒∯211010))⨐⩸⫘(⪩⨒∯112103⪔⊥⪩⨒∯100203)↹⊜(⋗⩬⋾⪩⨒∯112131))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":470,"operation_count":11,"complexity_ratio":42.72727272727273,"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":3816,"base":4}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":6538,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6461,"base":4},"right_expr":{"type":"numeric_atoms","value":2372,"base":4}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1427,"base":4},"right_expr":{"type":"numeric_atoms","value":1059,"base":4}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1437,"base":4}}}}},"used_operators":["w2P8NbNXyL","qL4PrbW1Dq","gub5Cegaqo","lFBm8KRb8F","4n53wtyJvv","fu6greOZ01","LYeZOJ0nQG","rxpJgHHUmx","9bazX3JMtO","HJ9erzHUuu","DpFCA1CohY"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","DpFCA1CohY","IWmyXbctLI","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","3ViojmjbAp","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3816","layer":4},{"info":"compute unary expreesion, input=3816, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-30936","layer":3},{"info":"number node, value=6538","layer":4},{"info":"compute unary expreesion, input=6538, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-30936, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾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=6461","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=6461, right_input=2372, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":2},{"info":"number node, value=1427","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=1059, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=3391","layer":3},{"info":"number node, value=1437","layer":4},{"info":"compute unary expreesion, input=1437, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4311","layer":3},{"info":"compute binary expreesion, left_input=3391, right_input=-4311, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=23930","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23930, 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":"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":4,"result_base":4,"text":"(⪡⇡≛((⇜⪩⨒∯323220)⩁⩘(⪩⨒∯1212022⪚⩙≫)))⊉↱≁((⫎≠⋺(⪩⨒∯1210331≭⪩⨒∯211010))⨐⩸⫘(⪩⨒∯112103⪔⊥⪩⨒∯100203)↹⊜(⋗⩬⋾⪩⨒∯112131))=NaN","reverse_text":"NaN=(⪡⇡≛((⇜⪩⨒∯323220)⩁⩘(⪩⨒∯1212022⪚⩙≫)))⊉↱≁((⫎≠⋺(⪩⨒∯1210331≭⪩⨒∯211010))⨐⩸⫘(⪩⨒∯112103⪔⊥⪩⨒∯100203)↹⊜(⋗⩬⋾⪩⨒∯112131))","cot":[{"info":"⇜⪩⨒∯323220=⪩⨒∯-13203120","layer":3},{"info":"⪩⨒∯1212022⪚⩙≫=NaN","layer":3},{"info":"⪩⨒∯-13203120⩁⩘NaN=NaN","layer":2},{"info":"⪡⇡≛NaN=NaN","layer":1},{"info":"⪩⨒∯1210331≭⪩⨒∯211010=NaN","layer":3},{"info":"⫎≠⋺NaN=NaN","layer":2},{"info":"⪩⨒∯112103⪔⊥⪩⨒∯100203=⪩⨒∯310333","layer":3},{"info":"⋗⩬⋾⪩⨒∯112131=⪩⨒∯-1003113","layer":3},{"info":"⪩⨒∯310333↹⊜⪩⨒∯-1003113=⪩⨒∯11311322","layer":2},{"info":"NaN⨐⩸⫘⪩⨒∯11311322=NaN","layer":1},{"info":"NaN⊉↱≁NaN=NaN","layer":0}]}
{"id":66,"expression_no_base_symbol":"(($1027$⋝⋈⪟$1375$⫢⨠(⇐$1186$))⫒⫫$4128$≴⪞⇿$1832$⨟⋌⩍($1222$⫳≱↱$3192$))⪔⊥(($4699$∷$3235$)⩖⊿(⊤⊝$1511$))⫞⩸⩒(($5545$≀⩗∶$3527$)⪄($3134$∵≐))","expression":"((⪩⨒∯100003⋝⋈⪟⪩⨒∯111133⫢⨠(⇐⪩⨒∯102202))⫒⫫⪩⨒∯1000200≴⪞⇿⪩⨒∯130220⨟⋌⩍(⪩⨒∯103012⫳≱↱⪩⨒∯301320))⪔⊥((⪩⨒∯1021123∷⪩⨒∯302203)⩖⊿(⊤⊝⪩⨒∯113213))⫞⩸⩒((⪩⨒∯1112221≀⩗∶⪩⨒∯313013)⪄(⪩⨒∯300332∵≐))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":31348,"operation_count":15,"complexity_ratio":2089.866666666667,"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":1027,"base":4},"right_expr":{"type":"numeric_atoms","value":1375,"base":4}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":1186,"base":4}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4128,"base":4},"right_expr":{"type":"numeric_atoms","value":1832,"base":4}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1222,"base":4},"right_expr":{"type":"numeric_atoms","value":3192,"base":4}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4699,"base":4},"right_expr":{"type":"numeric_atoms","value":3235,"base":4}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":1511,"base":4}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5545,"base":4},"right_expr":{"type":"numeric_atoms","value":3527,"base":4}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":3134,"base":4}}}}},"used_operators":["HJ9erzHUuu","6Ko8hGgeMq","xlXykHWxX1","2DDjHMKMc0","nmZMaaE0Q9","rGHVDoGpnC","lvlrscuwVU","ZvLB05nZmT","XGcMNugi78","RZ5CV9rWsJ","D3AQDKkPcf","rXAclfmB4M","SUmda5xLS4","8INZBEW696","59igzFyhWz"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","Tcnh7f0tEr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9FxExcQeMw","NTOWxs364D","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1375, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1027","layer":3},{"info":"number node, value=1186","layer":4},{"info":"compute unary expreesion, input=1186, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=94","layer":3},{"info":"compute binary expreesion, left_input=1027, right_input=94, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=4128","layer":4},{"info":"number node, value=1832","layer":4},{"info":"compute binary expreesion, left_input=4128, right_input=1832, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=29722284","layer":3},{"info":"number node, value=1222","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=3192, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=29722284, right_input=-204, 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=160, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":1},{"info":"number node, value=4699","layer":4},{"info":"number node, value=3235","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=3235, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3235","layer":3},{"info":"number node, value=1511","layer":4},{"info":"compute unary expreesion, input=1511, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=1724","layer":3},{"info":"compute binary expreesion, left_input=3235, right_input=1724, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=770","layer":2},{"info":"number node, value=5545","layer":4},{"info":"number node, value=3527","layer":4},{"info":"compute binary expreesion, left_input=5545, right_input=3527, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=3134","layer":4},{"info":"compute unary expreesion, input=3134, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=2188","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2188, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-4841","layer":2},{"info":"compute binary expreesion, left_input=770, right_input=-4841, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=770","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=770, 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":4,"result_base":4,"text":"((⪩⨒∯100003⋝⋈⪟⪩⨒∯111133⫢⨠(⇐⪩⨒∯102202))⫒⫫⪩⨒∯1000200≴⪞⇿⪩⨒∯130220⨟⋌⩍(⪩⨒∯103012⫳≱↱⪩⨒∯301320))⪔⊥((⪩⨒∯1021123∷⪩⨒∯302203)⩖⊿(⊤⊝⪩⨒∯113213))⫞⩸⩒((⪩⨒∯1112221≀⩗∶⪩⨒∯313013)⪄(⪩⨒∯300332∵≐))=NaN","reverse_text":"NaN=((⪩⨒∯100003⋝⋈⪟⪩⨒∯111133⫢⨠(⇐⪩⨒∯102202))⫒⫫⪩⨒∯1000200≴⪞⇿⪩⨒∯130220⨟⋌⩍(⪩⨒∯103012⫳≱↱⪩⨒∯301320))⪔⊥((⪩⨒∯1021123∷⪩⨒∯302203)⩖⊿(⊤⊝⪩⨒∯113213))⫞⩸⩒((⪩⨒∯1112221≀⩗∶⪩⨒∯313013)⪄(⪩⨒∯300332∵≐))","cot":[{"info":"⪩⨒∯100003⋝⋈⪟⪩⨒∯111133=⪩⨒∯100003","layer":3},{"info":"⇐⪩⨒∯102202=⪩⨒∯1132","layer":3},{"info":"⪩⨒∯100003⫢⨠⪩⨒∯1132=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1000200≴⪞⇿⪩⨒∯130220=⪩⨒∯1301120122230","layer":3},{"info":"⪩⨒∯103012⫳≱↱⪩⨒∯301320=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯1301120122230⨟⋌⩍⪩⨒∯-3030=NaN","layer":2},{"info":"⪩⨒∯2200⫒⫫NaN=NaN","layer":1},{"info":"⪩⨒∯1021123∷⪩⨒∯302203=⪩⨒∯302203","layer":3},{"info":"⊤⊝⪩⨒∯113213=⪩⨒∯122330","layer":3},{"info":"⪩⨒∯302203⩖⊿⪩⨒∯122330=⪩⨒∯30002","layer":2},{"info":"⪩⨒∯1112221≀⩗∶⪩⨒∯313013=⪩⨒∯0","layer":3},{"info":"⪩⨒∯300332∵≐=⪩⨒∯202030","layer":3},{"info":"⪩⨒∯0⪄⪩⨒∯202030=⪩⨒∯-1023221","layer":2},{"info":"⪩⨒∯30002⫞⩸⩒⪩⨒∯-1023221=⪩⨒∯30002","layer":1},{"info":"NaN⪔⊥⪩⨒∯30002=NaN","layer":0}]}
{"id":67,"expression_no_base_symbol":"(((⊈$1346$)⫻⋑⊟)⪘⫢($1317$↓$1013$⫢⨠$1830$↬$1508$))⩘($1375$⨓$1385$⊹∫⫚(≻⋜$1082$)-(→⩰$2171$)⪔⊥($5330$*$2203$))","expression":"(((⊈⪩⨒∯111002)⫻⋑⊟)⪘⫢(⪩⨒∯110211↓⪩⨒∯33311⫢⨠⪩⨒∯130212↬⪩⨒∯113210))⩘(⪩⨒∯111133⨓⪩⨒∯111221⊹∫⫚(≻⋜⪩⨒∯100322)-(→⩰⪩⨒∯201323)⪔⊥(⪩⨒∯1103102*⪩⨒∯202123))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26033,"operation_count":14,"complexity_ratio":1859.5,"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":1346,"base":4}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1317,"base":4},"right_expr":{"type":"numeric_atoms","value":1013,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1830,"base":4},"right_expr":{"type":"numeric_atoms","value":1508,"base":4}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1375,"base":4},"right_expr":{"type":"numeric_atoms","value":1385,"base":4}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1082,"base":4}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":2171,"base":4}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5330,"base":4},"right_expr":{"type":"numeric_atoms","value":2203,"base":4}}}}},"used_operators":["cHh1gJQ2o6","oacrs7FA3X","o575Zjdmzy","RHru8klgy8","xlXykHWxX1","Af076pWI7l","B5M0gjZbta","rysDP5nf3Z","uWAJUKEvyW","3ViojmjbAp","3tj9sqzovi","HJ9erzHUuu","o8Pngz0Tml","9HNa5Wba9A"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","12rbrZMWeM","xUOZtlo3hN","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rGHVDoGpnC","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1346","layer":4},{"info":"compute unary expreesion, input=1346, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1520","layer":3},{"info":"compute unary expreesion, input=-1520, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=9630","layer":2},{"info":"number node, value=1317","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=1013, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=1830","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1508, 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=-134, 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=9630, 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=1375","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=1385, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1388","layer":3},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1388, 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":2},{"info":"number node, value=2171","layer":4},{"info":"compute unary expreesion, input=2171, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=5330","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=5330, right_input=2203, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11741990","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11741990, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"(((⊈⪩⨒∯111002)⫻⋑⊟)⪘⫢(⪩⨒∯110211↓⪩⨒∯33311⫢⨠⪩⨒∯130212↬⪩⨒∯113210))⩘(⪩⨒∯111133⨓⪩⨒∯111221⊹∫⫚(≻⋜⪩⨒∯100322)-(→⩰⪩⨒∯201323)⪔⊥(⪩⨒∯1103102*⪩⨒∯202123))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(((⊈⪩⨒∯111002)⫻⋑⊟)⪘⫢(⪩⨒∯110211↓⪩⨒∯33311⫢⨠⪩⨒∯130212↬⪩⨒∯113210))⩘(⪩⨒∯111133⨓⪩⨒∯111221⊹∫⫚(≻⋜⪩⨒∯100322)-(→⩰⪩⨒∯201323)⪔⊥(⪩⨒∯1103102*⪩⨒∯202123))","cot":[{"info":"⊈⪩⨒∯111002=⪩⨒∯-113300","layer":3},{"info":"⪩⨒∯-113300⫻⋑⊟=⪩⨒∯2112132","layer":2},{"info":"⪩⨒∯110211↓⪩⨒∯33311=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯130212↬⪩⨒∯113210=NaN","layer":3},{"info":"⪩⨒∯-2012⫢⨠NaN=NaN","layer":2},{"info":"⪩⨒∯2112132⪘⫢NaN=NaN","layer":1},{"info":"⪩⨒∯111133⨓⪩⨒∯111221=⪩⨒∯-111230","layer":3},{"info":"≻⋜⪩⨒∯100322=NaN","layer":3},{"info":"⪩⨒∯-111230⊹∫⫚NaN=NaN","layer":2},{"info":"→⩰⪩⨒∯201323=NaN","layer":3},{"info":"⪩⨒∯1103102*⪩⨒∯202123=⪩⨒∯230302230212","layer":3},{"info":"NaN⪔⊥⪩⨒∯230302230212=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"NaN⩘NaN=⪩⨒∯2200","layer":0}]}
{"id":68,"expression_no_base_symbol":"(⪝⪂⫅(⩦⊞$3450$)∳⫺($4710$⊠≄⫣))⨶","expression":"(⪝⪂⫅(⩦⊞⪩⨒∯311322)∳⫺(⪩⨒∯1021212⊠≄⫣))⨶","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":207,"operation_count":5,"complexity_ratio":41.4,"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":3450,"base":4}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4710,"base":4}}}}},"used_operators":["rFxw8gIMmB","XTarYq4gQB","AzXXKTstlj","u7fv1HBiaC","DIvbN7qnHd"],"dependent_operators":["f6k1SAg4EE","Qy55tPpLXF","9HNa5Wba9A","8w2t5hMYqp","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯32023101102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3450","layer":4},{"info":"compute unary expreesion, input=3450, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3177","layer":3},{"info":"number node, value=4710","layer":4},{"info":"compute unary expreesion, input=4710, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3177, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-12646","layer":2},{"info":"compute unary expreesion, input=-12646, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=1858962","layer":1},{"info":"compute unary expreesion, input=1858962, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=3716178","layer":0}],"base":4,"result_base":4,"text":"(⪝⪂⫅(⩦⊞⪩⨒∯311322)∳⫺(⪩⨒∯1021212⊠≄⫣))⨶=⪩⨒∯32023101102","reverse_text":"⪩⨒∯32023101102=(⪝⪂⫅(⩦⊞⪩⨒∯311322)∳⫺(⪩⨒∯1021212⊠≄⫣))⨶","cot":[{"info":"⩦⊞⪩⨒∯311322=⪩⨒∯-301221","layer":3},{"info":"⪩⨒∯1021212⊠≄⫣=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-301221∳⫺⪩⨒∯0=⪩⨒∯-3011212","layer":2},{"info":"⪝⪂⫅⪩⨒∯-3011212=⪩⨒∯13011312102","layer":1},{"info":"⪩⨒∯13011312102⨶=⪩⨒∯32023101102","layer":0}]}
{"id":69,"expression_no_base_symbol":"((($5114$⫦⪉$2518$)⊬⨰($3242$↸$3178$))⨀⨒)⨿((⇜($2189$∌↝$2449$))⋥⋵⩄(⊖∈$2617$⩧⪆$1156$))","expression":"(((⪩⨒∯1033322⫦⪉⪩⨒∯213112)⊬⨰(⪩⨒∯302222↸⪩⨒∯301222))⨀⨒)⨿((⇜(⪩⨒∯202031∌↝⪩⨒∯212101))⋥⋵⩄(⊖∈⪩⨒∯220321⩧⪆⪩⨒∯102010))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7969,"operation_count":10,"complexity_ratio":796.9,"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":5114,"base":4},"right_expr":{"type":"numeric_atoms","value":2518,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3242,"base":4},"right_expr":{"type":"numeric_atoms","value":3178,"base":4}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2189,"base":4},"right_expr":{"type":"numeric_atoms","value":2449,"base":4}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2617,"base":4},"right_expr":{"type":"numeric_atoms","value":1156,"base":4}}}}},"used_operators":["abYXlopdE0","j6NVkjMzuk","s3Fd5m9Dh2","wscyQdcy20","1eCjFl0mb9","7t3wd0Fuz7","lFBm8KRb8F","9Isq31Ruls","YFxL8Sc2Zy","Ikt5ks8PT7"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","eewbuw0ToL","t8gj7n24qd"],"result":"⪩⨒∯-10333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5114","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=5114, right_input=2518, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-5328","layer":3},{"info":"number node, value=3242","layer":4},{"info":"number node, value=3178","layer":4},{"info":"compute binary expreesion, left_input=3242, right_input=3178, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3242","layer":3},{"info":"compute binary expreesion, left_input=-5328, right_input=3242, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=2312","layer":2},{"info":"compute unary expreesion, input=2312, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=29100","layer":1},{"info":"number node, value=2189","layer":4},{"info":"number node, value=2449","layer":4},{"info":"compute binary expreesion, left_input=2189, right_input=2449, 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 = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"number node, value=2617","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=2617, right_input=1156, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1156","layer":3},{"info":"compute unary expreesion, input=-1156, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=26967042","layer":2},{"info":"compute binary expreesion, left_input=232, right_input=26967042, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=29100, right_input=113, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1033322⫦⪉⪩⨒∯213112)⊬⨰(⪩⨒∯302222↸⪩⨒∯301222))⨀⨒)⨿((⇜(⪩⨒∯202031∌↝⪩⨒∯212101))⋥⋵⩄(⊖∈⪩⨒∯220321⩧⪆⪩⨒∯102010))=⪩⨒∯-10333","reverse_text":"⪩⨒∯-10333=(((⪩⨒∯1033322⫦⪉⪩⨒∯213112)⊬⨰(⪩⨒∯302222↸⪩⨒∯301222))⨀⨒)⨿((⇜(⪩⨒∯202031∌↝⪩⨒∯212101))⋥⋵⩄(⊖∈⪩⨒∯220321⩧⪆⪩⨒∯102010))","cot":[{"info":"⪩⨒∯1033322⫦⪉⪩⨒∯213112=⪩⨒∯-1103100","layer":3},{"info":"⪩⨒∯302222↸⪩⨒∯301222=⪩⨒∯302222","layer":3},{"info":"⪩⨒∯-1103100⊬⨰⪩⨒∯302222=⪩⨒∯210020","layer":2},{"info":"⪩⨒∯210020⨀⨒=⪩⨒∯13012230","layer":1},{"info":"⪩⨒∯202031∌↝⪩⨒∯212101=⪩⨒∯0","layer":3},{"info":"⇜⪩⨒∯0=⪩⨒∯3220","layer":2},{"info":"⪩⨒∯220321⩧⪆⪩⨒∯102010=⪩⨒∯-102010","layer":3},{"info":"⊖∈⪩⨒∯-102010=⪩⨒∯1212313300002","layer":2},{"info":"⪩⨒∯3220⋥⋵⩄⪩⨒∯1212313300002=⪩⨒∯1301","layer":1},{"info":"⪩⨒∯13012230⨿⪩⨒∯1301=⪩⨒∯-10333","layer":0}]}
{"id":70,"expression_no_base_symbol":"(($1473$≄⊠$3214$)⪛($2161$↸$1364$))⩍⋽⫝̸(⋠∜(⨭⩧⫛$1130$))+⇶⊼(≀↧⇸$5544$∛$7064$)∴(⇠($1144$∕⩚$1072$))","expression":"((⪩⨒∯113001≄⊠⪩⨒∯302032)⪛(⪩⨒∯201301↸⪩⨒∯111110))⩍⋽⫝̸(⋠∜(⨭⩧⫛⪩⨒∯101222))+⇶⊼(≀↧⇸⪩⨒∯1112220∛⪩⨒∯1232120)∴(⇠(⪩⨒∯101320∕⩚⪩⨒∯100300))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2781,"operation_count":12,"complexity_ratio":231.75,"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":1473,"base":4},"right_expr":{"type":"numeric_atoms","value":3214,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2161,"base":4},"right_expr":{"type":"numeric_atoms","value":1364,"base":4}}},"right_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1130,"base":4}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":5544,"base":4},"right_expr":{"type":"numeric_atoms","value":7064,"base":4}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1144,"base":4},"right_expr":{"type":"numeric_atoms","value":1072,"base":4}}}}},"used_operators":["TpPTUOHfaN","BiWNJpBvwn","uFcxV4UQCh","vXNesLlMH1","1eCjFl0mb9","ZJpFhNJr3x","g21JL6JxX7","hrf7POJlIJ","ljTHtUsqzn","w2537kitQq","18saOjeKKm","z9ffQ9n5Zr"],"dependent_operators":["AHs5Up7iyr","Ph9nP6C5qx","xUOZtlo3hN","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","XPYlsWDdGa","23Mk6UjR3U","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1473","layer":4},{"info":"number node, value=3214","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=3214, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=56092","layer":3},{"info":"number node, value=2161","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=1364, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2161","layer":3},{"info":"compute binary expreesion, left_input=56092, right_input=2161, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2067","layer":2},{"info":"number node, value=1130","layer":4},{"info":"compute unary expreesion, input=1130, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=2067, right_input=67, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-276","layer":1},{"info":"number node, value=5544","layer":4},{"info":"number node, value=7064","layer":4},{"info":"compute binary expreesion, left_input=5544, right_input=7064, 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 = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2680","layer":2},{"info":"number node, value=1144","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1144, right_input=1072, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1147","layer":3},{"info":"compute unary expreesion, input=-1147, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2680, right_input=0, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7008","layer":1},{"info":"compute binary expreesion, left_input=-276, right_input=7008, 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":4,"result_base":4,"text":"((⪩⨒∯113001≄⊠⪩⨒∯302032)⪛(⪩⨒∯201301↸⪩⨒∯111110))⩍⋽⫝̸(⋠∜(⨭⩧⫛⪩⨒∯101222))+⇶⊼(≀↧⇸⪩⨒∯1112220∛⪩⨒∯1232120)∴(⇠(⪩⨒∯101320∕⩚⪩⨒∯100300))=NaN","reverse_text":"NaN=((⪩⨒∯113001≄⊠⪩⨒∯302032)⪛(⪩⨒∯201301↸⪩⨒∯111110))⩍⋽⫝̸(⋠∜(⨭⩧⫛⪩⨒∯101222))+⇶⊼(≀↧⇸⪩⨒∯1112220∛⪩⨒∯1232120)∴(⇠(⪩⨒∯101320∕⩚⪩⨒∯100300))","cot":[{"info":"⪩⨒∯113001≄⊠⪩⨒∯302032=⪩⨒∯31230130","layer":3},{"info":"⪩⨒∯201301↸⪩⨒∯111110=⪩⨒∯201301","layer":3},{"info":"⪩⨒∯31230130⪛⪩⨒∯201301=⪩⨒∯200103","layer":2},{"info":"⨭⩧⫛⪩⨒∯101222=NaN","layer":3},{"info":"⋠∜NaN=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯200103⩍⋽⫝̸⪩⨒∯1003=⪩⨒∯-10110","layer":1},{"info":"⪩⨒∯1112220∛⪩⨒∯1232120=⪩⨒∯-22132","layer":3},{"info":"≀↧⇸⪩⨒∯-22132=⪩⨒∯221320","layer":2},{"info":"⪩⨒∯101320∕⩚⪩⨒∯100300=⪩⨒∯-101323","layer":3},{"info":"⇠⪩⨒∯-101323=⪩⨒∯0","layer":2},{"info":"⪩⨒∯221320∴⪩⨒∯0=⪩⨒∯1231200","layer":1},{"info":"⪩⨒∯-10110+⇶⊼⪩⨒∯1231200=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"(($5163$⪕$1249$)+⪬∐($3000$∴≳≥)⪥($1009$≝⊿$2657$)⊮⊟↴($3299$≹⇙⪍$2913$))≴⪞⇿(⋗⩬⋾(⨙⪌(⩩$2572$)))","expression":"((⪩⨒∯1100223⪕⪩⨒∯103201)+⪬∐(⪩⨒∯232320∴≳≥)⪥(⪩⨒∯33301≝⊿⪩⨒∯221201)⊮⊟↴(⪩⨒∯303203≹⇙⪍⪩⨒∯231201))≴⪞⇿(⋗⩬⋾(⨙⪌(⩩⪩⨒∯220030)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3675,"operation_count":11,"complexity_ratio":334.09090909090907,"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":5163,"base":4},"right_expr":{"type":"numeric_atoms","value":1249,"base":4}},"right_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":3000,"base":4}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1009,"base":4},"right_expr":{"type":"numeric_atoms","value":2657,"base":4}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3299,"base":4},"right_expr":{"type":"numeric_atoms","value":2913,"base":4}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2572,"base":4}}}}},"used_operators":["lvlrscuwVU","QbnwKVWMIQ","2GS7woTJqF","umQnsF7QlU","a3N2hFLK0J","QDVgd2eftb","OKKcZfAt5B","AHs5Up7iyr","DpFCA1CohY","vEGLkm4Z2k","kMhfGuqI2H"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","12rbrZMWeM","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX"],"result":"⪩⨒∯-22222220010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5163","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=5163, right_input=1249, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9978","layer":3},{"info":"number node, value=3000","layer":4},{"info":"compute unary expreesion, input=3000, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=12000","layer":3},{"info":"compute binary expreesion, left_input=9978, right_input=12000, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-29934","layer":2},{"info":"number node, value=1009","layer":4},{"info":"number node, value=2657","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=2657, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-6856","layer":3},{"info":"number node, value=3299","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=3299, right_input=2913, 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=-6856, 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=-29934, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-232628","layer":1},{"info":"number node, value=2572","layer":4},{"info":"compute unary expreesion, input=2572, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , 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 unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-232628, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-2796036","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1100223⪕⪩⨒∯103201)+⪬∐(⪩⨒∯232320∴≳≥)⪥(⪩⨒∯33301≝⊿⪩⨒∯221201)⊮⊟↴(⪩⨒∯303203≹⇙⪍⪩⨒∯231201))≴⪞⇿(⋗⩬⋾(⨙⪌(⩩⪩⨒∯220030)))=⪩⨒∯-22222220010","reverse_text":"⪩⨒∯-22222220010=((⪩⨒∯1100223⪕⪩⨒∯103201)+⪬∐(⪩⨒∯232320∴≳≥)⪥(⪩⨒∯33301≝⊿⪩⨒∯221201)⊮⊟↴(⪩⨒∯303203≹⇙⪍⪩⨒∯231201))≴⪞⇿(⋗⩬⋾(⨙⪌(⩩⪩⨒∯220030)))","cot":[{"info":"⪩⨒∯1100223⪕⪩⨒∯103201=⪩⨒∯2123322","layer":3},{"info":"⪩⨒∯232320∴≳≥=⪩⨒∯2323200","layer":3},{"info":"⪩⨒∯2123322+⪬∐⪩⨒∯2323200=⪩⨒∯-13103232","layer":2},{"info":"⪩⨒∯33301≝⊿⪩⨒∯221201=⪩⨒∯-1223020","layer":3},{"info":"⪩⨒∯303203≹⇙⪍⪩⨒∯231201=NaN","layer":3},{"info":"⪩⨒∯-1223020⊮⊟↴NaN=NaN","layer":2},{"info":"⪩⨒∯-13103232⪥NaN=⪩⨒∯-320302310","layer":1},{"info":"⩩⪩⨒∯220030=NaN","layer":3},{"info":"⨙⪌NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⪩⨒∯-320302310≴⪞⇿NaN=⪩⨒∯-22222220010","layer":0}]}
{"id":72,"expression_no_base_symbol":"($1305$⩘$1707$↬(≤/$1873$))⋥⋵⩄(⨛$3395$∥⊢⊲$1329$)⩌⋺((⇨($3638$⪔$4104$))⇼⇔∾($3288$⋻⩜⩜$2344$)≠≀($2447$↱$2140$))","expression":"(⪩⨒∯110121⩘⪩⨒∯122223↬(≤/⪩⨒∯131101))⋥⋵⩄(⨛⪩⨒∯311003∥⊢⊲⪩⨒∯110301)⩌⋺((⇨(⪩⨒∯320312⪔⪩⨒∯1000020))⇼⇔∾(⪩⨒∯303120⋻⩜⩜⪩⨒∯210220)≠≀(⪩⨒∯212033↱⪩⨒∯201130))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37275,"operation_count":13,"complexity_ratio":2867.3076923076924,"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":1305,"base":4},"right_expr":{"type":"numeric_atoms","value":1707,"base":4}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1873,"base":4}}},"right_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3395,"base":4},"right_expr":{"type":"numeric_atoms","value":1329,"base":4}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3638,"base":4},"right_expr":{"type":"numeric_atoms","value":4104,"base":4}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3288,"base":4},"right_expr":{"type":"numeric_atoms","value":2344,"base":4}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2447,"base":4},"right_expr":{"type":"numeric_atoms","value":2140,"base":4}}}}},"used_operators":["g7Hmc5v1ko","7t3wd0Fuz7","B5M0gjZbta","cHh1gJQ2o6","eLAdDNolq6","CoMdbyAt7R","v1UQAVDJRr","tifHPKVTfV","G9tJMlZ94a","GjBEYRfMaF","IwW236VD4Y","oDCm7WA9JY","SR5kFfdi6N"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rGHVDoGpnC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","rysDP5nf3Z","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1305","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=1707, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1873","layer":4},{"info":"compute unary expreesion, input=1873, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1389","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1389, 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":"number node, value=3395","layer":4},{"info":"number node, value=1329","layer":4},{"info":"compute binary expreesion, left_input=3395, right_input=1329, 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 = CoMdbyAt7R, 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=3638","layer":4},{"info":"number node, value=4104","layer":4},{"info":"compute binary expreesion, left_input=3638, right_input=4104, 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 = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=3288","layer":4},{"info":"number node, value=2344","layer":4},{"info":"compute binary expreesion, left_input=3288, right_input=2344, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6576","layer":3},{"info":"number node, value=2447","layer":4},{"info":"number node, value=2140","layer":4},{"info":"compute binary expreesion, left_input=2447, right_input=2140, 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=-5898","layer":3},{"info":"compute binary expreesion, left_input=6576, right_input=-5898, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-799","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-799, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-799","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-799, 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":4,"result_base":4,"text":"(⪩⨒∯110121⩘⪩⨒∯122223↬(≤/⪩⨒∯131101))⋥⋵⩄(⨛⪩⨒∯311003∥⊢⊲⪩⨒∯110301)⩌⋺((⇨(⪩⨒∯320312⪔⪩⨒∯1000020))⇼⇔∾(⪩⨒∯303120⋻⩜⩜⪩⨒∯210220)≠≀(⪩⨒∯212033↱⪩⨒∯201130))=NaN","reverse_text":"NaN=(⪩⨒∯110121⩘⪩⨒∯122223↬(≤/⪩⨒∯131101))⋥⋵⩄(⨛⪩⨒∯311003∥⊢⊲⪩⨒∯110301)⩌⋺((⇨(⪩⨒∯320312⪔⪩⨒∯1000020))⇼⇔∾(⪩⨒∯303120⋻⩜⩜⪩⨒∯210220)≠≀(⪩⨒∯212033↱⪩⨒∯201130))","cot":[{"info":"⪩⨒∯110121⩘⪩⨒∯122223=⪩⨒∯2200","layer":3},{"info":"≤/⪩⨒∯131101=⪩⨒∯-111231","layer":3},{"info":"⪩⨒∯2200↬⪩⨒∯-111231=NaN","layer":2},{"info":"⪩⨒∯311003∥⊢⊲⪩⨒∯110301=NaN","layer":3},{"info":"⨛NaN=NaN","layer":2},{"info":"NaN⋥⋵⩄NaN=NaN","layer":1},{"info":"⪩⨒∯320312⪔⪩⨒∯1000020=⪩⨒∯13002","layer":3},{"info":"⇨⪩⨒∯13002=⪩⨒∯0","layer":2},{"info":"⪩⨒∯303120⋻⩜⩜⪩⨒∯210220=⪩⨒∯1212300","layer":3},{"info":"⪩⨒∯212033↱⪩⨒∯201130=⪩⨒∯-1130022","layer":3},{"info":"⪩⨒∯1212300≠≀⪩⨒∯-1130022=⪩⨒∯-30133","layer":2},{"info":"⪩⨒∯0⇼⇔∾⪩⨒∯-30133=⪩⨒∯-30133","layer":1},{"info":"NaN⩌⋺⪩⨒∯-30133=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"(≅≯⇸(($5792$↓$2311$)⩅⪻⪻))∕⩚(($5140$⫁⪎$2689$∼$7028$⊢$2406$)⋐⇩⊬)","expression":"(≅≯⇸((⪩⨒∯1122200↓⪩⨒∯210013)⩅⪻⪻))∕⩚((⪩⨒∯1100110⫁⪎⪩⨒∯222001∼⪩⨒∯1231310⊢⪩⨒∯211212)⋐⇩⊬)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33295,"operation_count":8,"complexity_ratio":4161.875,"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":5792,"base":4},"right_expr":{"type":"numeric_atoms","value":2311,"base":4}}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":5140,"base":4},"right_expr":{"type":"numeric_atoms","value":2689,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":7028,"base":4},"right_expr":{"type":"numeric_atoms","value":2406,"base":4}}}}},"used_operators":["z9ffQ9n5Zr","apS25hmuAe","kHoXpA7yos","Af076pWI7l","JuuLT1NoCs","DyGG3AbaNP","xRrnTEsQ6j","5twsqlHp2o"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","EBcxylXtPf","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⪩⨒∯-13213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5792","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=5792, right_input=2311, 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 = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=23593","layer":1},{"info":"number node, value=5140","layer":4},{"info":"number node, value=2689","layer":4},{"info":"compute binary expreesion, left_input=5140, right_input=2689, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2451","layer":3},{"info":"number node, value=7028","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=7028, right_input=2406, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-14300","layer":3},{"info":"compute binary expreesion, left_input=2451, right_input=-14300, 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 = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=23593, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":4,"result_base":4,"text":"(≅≯⇸((⪩⨒∯1122200↓⪩⨒∯210013)⩅⪻⪻))∕⩚((⪩⨒∯1100110⫁⪎⪩⨒∯222001∼⪩⨒∯1231310⊢⪩⨒∯211212)⋐⇩⊬)=⪩⨒∯-13213","reverse_text":"⪩⨒∯-13213=(≅≯⇸((⪩⨒∯1122200↓⪩⨒∯210013)⩅⪻⪻))∕⩚((⪩⨒∯1100110⫁⪎⪩⨒∯222001∼⪩⨒∯1231310⊢⪩⨒∯211212)⋐⇩⊬)","cot":[{"info":"⪩⨒∯1122200↓⪩⨒∯210013=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯-2012⩅⪻⪻=⪩⨒∯332023","layer":2},{"info":"≅≯⇸⪩⨒∯332023=⪩⨒∯11300221","layer":1},{"info":"⪩⨒∯1100110⫁⪎⪩⨒∯222001=⪩⨒∯212103","layer":3},{"info":"⪩⨒∯1231310⊢⪩⨒∯211212=⪩⨒∯-3133130","layer":3},{"info":"⪩⨒∯212103∼⪩⨒∯-3133130=NaN","layer":2},{"info":"NaN⋐⇩⊬=NaN","layer":1},{"info":"⪩⨒∯11300221∕⩚NaN=⪩⨒∯-13213","layer":0}]}
{"id":74,"expression_no_base_symbol":"(($2914$≬⇓$6542$⨑≵⋬$1217$≀⫉$3603$)⊨$5070$⪔⊥$1089$⇴(⊿$3827$))⊝⪿⪼(($1064$⫞⩸⩒$6680$⨑≵⋬$1118$⨓$1798$)⩺⪪(($1126$⊔$1014$)≃⋄))","expression":"((⪩⨒∯231202≬⇓⪩⨒∯1212032⨑≵⋬⪩⨒∯103001≀⫉⪩⨒∯320103)⊨⪩⨒∯1033032⪔⊥⪩⨒∯101001⇴(⊿⪩⨒∯323303))⊝⪿⪼((⪩⨒∯100220⫞⩸⩒⪩⨒∯1220120⨑≵⋬⪩⨒∯101132⨓⪩⨒∯130012)⩺⪪((⪩⨒∯101212⊔⪩⨒∯33312)≃⋄))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2274,"operation_count":14,"complexity_ratio":162.42857142857142,"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":2914,"base":4},"right_expr":{"type":"numeric_atoms","value":6542,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1217,"base":4},"right_expr":{"type":"numeric_atoms","value":3603,"base":4}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":5070,"base":4},"right_expr":{"type":"numeric_atoms","value":1089,"base":4}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3827,"base":4}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1064,"base":4},"right_expr":{"type":"numeric_atoms","value":6680,"base":4}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1118,"base":4},"right_expr":{"type":"numeric_atoms","value":1798,"base":4}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":1126,"base":4},"right_expr":{"type":"numeric_atoms","value":1014,"base":4}}}}},"used_operators":["3Oe9XWJUTD","vg4gO5BX6G","XnXgA4xnOs","jWTQ2TZYIH","oZj3VtZNQx","4JB6nKBMSY","HJ9erzHUuu","DO4fhlbJSI","uvdQJvN4PV","XGcMNugi78","3ViojmjbAp","aN9a90urxU","E4l6HwMY31"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","uFcxV4UQCh","jLgFTUHLKL","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⪩⨒∯12102232202","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2914","layer":4},{"info":"number node, value=6542","layer":4},{"info":"compute binary expreesion, left_input=2914, right_input=6542, 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=1217","layer":4},{"info":"number node, value=3603","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=3603, 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=-22, right_input=2822, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-18485","layer":2},{"info":"number node, value=5070","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=5070, right_input=1089, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=17903","layer":3},{"info":"number node, value=3827","layer":4},{"info":"compute unary expreesion, input=3827, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-16046","layer":3},{"info":"compute binary expreesion, left_input=17903, right_input=-16046, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=74940","layer":2},{"info":"compute binary expreesion, left_input=-18485, right_input=74940, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"number node, value=1064","layer":4},{"info":"number node, value=6680","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=6680, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=6680","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=1798, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1801","layer":3},{"info":"compute binary expreesion, left_input=6680, right_input=-1801, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=52020","layer":2},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1014, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=4922","layer":3},{"info":"compute unary expreesion, input=4922, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":2},{"info":"compute binary expreesion, left_input=52020, right_input=764, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-820994","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=-820994, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=1649570","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯231202≬⇓⪩⨒∯1212032⨑≵⋬⪩⨒∯103001≀⫉⪩⨒∯320103)⊨⪩⨒∯1033032⪔⊥⪩⨒∯101001⇴(⊿⪩⨒∯323303))⊝⪿⪼((⪩⨒∯100220⫞⩸⩒⪩⨒∯1220120⨑≵⋬⪩⨒∯101132⨓⪩⨒∯130012)⩺⪪((⪩⨒∯101212⊔⪩⨒∯33312)≃⋄))=⪩⨒∯12102232202","reverse_text":"⪩⨒∯12102232202=((⪩⨒∯231202≬⇓⪩⨒∯1212032⨑≵⋬⪩⨒∯103001≀⫉⪩⨒∯320103)⊨⪩⨒∯1033032⪔⊥⪩⨒∯101001⇴(⊿⪩⨒∯323303))⊝⪿⪼((⪩⨒∯100220⫞⩸⩒⪩⨒∯1220120⨑≵⋬⪩⨒∯101132⨓⪩⨒∯130012)⩺⪪((⪩⨒∯101212⊔⪩⨒∯33312)≃⋄))","cot":[{"info":"⪩⨒∯231202≬⇓⪩⨒∯1212032=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯103001≀⫉⪩⨒∯320103=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯-112⨑≵⋬⪩⨒∯230012=⪩⨒∯-10200311","layer":2},{"info":"⪩⨒∯1033032⪔⊥⪩⨒∯101001=⪩⨒∯10113233","layer":3},{"info":"⊿⪩⨒∯323303=⪩⨒∯-3322232","layer":3},{"info":"⪩⨒∯10113233⇴⪩⨒∯-3322232=⪩⨒∯102102330","layer":2},{"info":"⪩⨒∯-10200311⊨⪩⨒∯102102330=⪩⨒∯-2232","layer":1},{"info":"⪩⨒∯100220⫞⩸⩒⪩⨒∯1220120=⪩⨒∯1220120","layer":3},{"info":"⪩⨒∯101132⨓⪩⨒∯130012=⪩⨒∯-130021","layer":3},{"info":"⪩⨒∯1220120⨑≵⋬⪩⨒∯-130021=⪩⨒∯30230310","layer":2},{"info":"⪩⨒∯101212⊔⪩⨒∯33312=⪩⨒∯1030322","layer":3},{"info":"⪩⨒∯1030322≃⋄=⪩⨒∯23330","layer":2},{"info":"⪩⨒∯30230310⩺⪪⪩⨒∯23330=⪩⨒∯-3020130002","layer":1},{"info":"⪩⨒∯-2232⊝⪿⪼⪩⨒∯-3020130002=⪩⨒∯12102232202","layer":0}]}
{"id":75,"expression_no_base_symbol":"(($3290$↸$4473$)⪬($1787$⫁⪎$3349$)≬⋮$4464$∓⋝$8155$⫥∨⫟$2137$⊢$1758$)⇻⋧≁(($1341$⋷$2585$)⫁⪎(∐⩳⋚$1104$)∀⋜↑)","expression":"((⪩⨒∯303122↸⪩⨒∯1011321)⪬(⪩⨒∯123323⫁⪎⪩⨒∯310111)≬⋮⪩⨒∯1011300∓⋝⪩⨒∯1333123⫥∨⫟⪩⨒∯201121⊢⪩⨒∯123132)⇻⋧≁((⪩⨒∯110331⋷⪩⨒∯220121)⫁⪎(∐⩳⋚⪩⨒∯101100)∀⋜↑)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4462,"operation_count":12,"complexity_ratio":371.8333333333333,"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":3290,"base":4},"right_expr":{"type":"numeric_atoms","value":4473,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1787,"base":4},"right_expr":{"type":"numeric_atoms","value":3349,"base":4}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":4464,"base":4},"right_expr":{"type":"numeric_atoms","value":8155,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2137,"base":4},"right_expr":{"type":"numeric_atoms","value":1758,"base":4}}}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1341,"base":4},"right_expr":{"type":"numeric_atoms","value":2585,"base":4}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1104,"base":4}}}}},"used_operators":["jCPkEVoL5K","kbkesczE7y","Ez1Nq5fNfI","1eCjFl0mb9","xRrnTEsQ6j","KYD54nUTWz","PoHhknlbAi","5twsqlHp2o","KipPnG1M2J","23Mk6UjR3U","SL6IHkK8vl"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3290","layer":4},{"info":"number node, value=4473","layer":4},{"info":"compute binary expreesion, left_input=3290, right_input=4473, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3290","layer":3},{"info":"number node, value=1787","layer":4},{"info":"number node, value=3349","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=3349, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1562","layer":3},{"info":"compute binary expreesion, left_input=3290, right_input=-1562, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=4464","layer":4},{"info":"number node, value=8155","layer":4},{"info":"compute binary expreesion, left_input=4464, right_input=8155, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2137","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=1758, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4518","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-4518, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=1341","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=2585, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3829","layer":3},{"info":"number node, value=1104","layer":4},{"info":"compute unary expreesion, input=1104, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=148321","layer":3},{"info":"compute binary expreesion, left_input=3829, right_input=148321, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-144492","layer":2},{"info":"compute unary expreesion, input=-144492, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-433960","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-433960, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯303122↸⪩⨒∯1011321)⪬(⪩⨒∯123323⫁⪎⪩⨒∯310111)≬⋮⪩⨒∯1011300∓⋝⪩⨒∯1333123⫥∨⫟⪩⨒∯201121⊢⪩⨒∯123132)⇻⋧≁((⪩⨒∯110331⋷⪩⨒∯220121)⫁⪎(∐⩳⋚⪩⨒∯101100)∀⋜↑)=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯303122↸⪩⨒∯1011321)⪬(⪩⨒∯123323⫁⪎⪩⨒∯310111)≬⋮⪩⨒∯1011300∓⋝⪩⨒∯1333123⫥∨⫟⪩⨒∯201121⊢⪩⨒∯123132)⇻⋧≁((⪩⨒∯110331⋷⪩⨒∯220121)⫁⪎(∐⩳⋚⪩⨒∯101100)∀⋜↑)","cot":[{"info":"⪩⨒∯303122↸⪩⨒∯1011321=⪩⨒∯303122","layer":3},{"info":"⪩⨒∯123323⫁⪎⪩⨒∯310111=⪩⨒∯-120122","layer":3},{"info":"⪩⨒∯303122⪬⪩⨒∯-120122=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯1011300∓⋝⪩⨒∯1333123=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯201121⊢⪩⨒∯123132=⪩⨒∯-1012212","layer":3},{"info":"⪩⨒∯1003⫥∨⫟⪩⨒∯-1012212=NaN","layer":2},{"info":"⪩⨒∯103102≬⋮NaN=NaN","layer":1},{"info":"⪩⨒∯110331⋷⪩⨒∯220121=⪩⨒∯323311","layer":3},{"info":"∐⩳⋚⪩⨒∯101100=⪩⨒∯210031201","layer":3},{"info":"⪩⨒∯323311⫁⪎⪩⨒∯210031201=⪩⨒∯-203101230","layer":2},{"info":"⪩⨒∯-203101230∀⋜↑=⪩⨒∯-1221330220","layer":1},{"info":"NaN⇻⋧≁⪩⨒∯-1221330220=⪩⨒∯0","layer":0}]}
{"id":76,"expression_no_base_symbol":"($1764$⨫⇇↔$2068$↬$1020$⨔⇊$3163$+(∂(∨∊⋏$1191$)))↠","expression":"(⪩⨒∯123210⨫⇇↔⪩⨒∯200110↬⪩⨒∯33330⨔⇊⪩⨒∯301123+(∂(∨∊⋏⪩⨒∯102213)))↠","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":102,"operation_count":7,"complexity_ratio":14.571428571428571,"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":1764,"base":4},"right_expr":{"type":"numeric_atoms","value":2068,"base":4}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1020,"base":4},"right_expr":{"type":"numeric_atoms","value":3163,"base":4}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1191,"base":4}}}}},"used_operators":["LBdsKIvxzf","W4YGzv6Whe","B5M0gjZbta","LXhwmt4mBO","JclMnS0uGI","Uaa54Peajs","R5aXW34M0v"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rGHVDoGpnC","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⪩⨒∯-12333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1764","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=2068, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=3163","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3163, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3163","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=3163, 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":"number node, value=1191","layer":4},{"info":"compute unary expreesion, input=1191, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=15383","layer":3},{"info":"compute unary expreesion, input=15383, 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 = W4YGzv6Whe binary_op_definition= 'None', 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":4,"result_base":4,"text":"(⪩⨒∯123210⨫⇇↔⪩⨒∯200110↬⪩⨒∯33330⨔⇊⪩⨒∯301123+(∂(∨∊⋏⪩⨒∯102213)))↠=⪩⨒∯-12333","reverse_text":"⪩⨒∯-12333=(⪩⨒∯123210⨫⇇↔⪩⨒∯200110↬⪩⨒∯33330⨔⇊⪩⨒∯301123+(∂(∨∊⋏⪩⨒∯102213)))↠","cot":[{"info":"⪩⨒∯123210⨫⇇↔⪩⨒∯200110=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯33330⨔⇊⪩⨒∯301123=⪩⨒∯301123","layer":3},{"info":"⪩⨒∯-20033↬⪩⨒∯301123=NaN","layer":2},{"info":"∨∊⋏⪩⨒∯102213=⪩⨒∯3300113","layer":3},{"info":"∂⪩⨒∯3300113=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"NaN↠=⪩⨒∯-12333","layer":0}]}
{"id":77,"expression_no_base_symbol":"(($5576$↓$1217$)⫣⪄⊒($7415$⩷∴$5547$)↰)⋕⪉⪜(↨⩢⫨($2634$⪝$1705$⫰⋱$1831$∋$7372$))","expression":"((⪩⨒∯1113020↓⪩⨒∯103001)⫣⪄⊒(⪩⨒∯1303313⩷∴⪩⨒∯1112223)↰)⋕⪉⪜(↨⩢⫨(⪩⨒∯221022⪝⪩⨒∯122221⫰⋱⪩⨒∯130213∋⪩⨒∯1303030))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":18005,"operation_count":9,"complexity_ratio":2000.5555555555557,"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":5576,"base":4},"right_expr":{"type":"numeric_atoms","value":1217,"base":4}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7415,"base":4},"right_expr":{"type":"numeric_atoms","value":5547,"base":4}}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2634,"base":4},"right_expr":{"type":"numeric_atoms","value":1705,"base":4}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1831,"base":4},"right_expr":{"type":"numeric_atoms","value":7372,"base":4}}}}},"used_operators":["z6LnFrNh4i","bl5wxAcryP","RabNbG55vr","Af076pWI7l","9FxExcQeMw","Z5CJsN7DuW","6o9Blt3TJ6","wicAB68Tmb","ukq6epAj5P"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","nCS4ZIUYfx","Z2TMIBDE3Q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV"],"result":"⪩⨒∯3030","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5576","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=5576, right_input=1217, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=7415","layer":4},{"info":"number node, value=5547","layer":4},{"info":"compute binary expreesion, left_input=7415, right_input=5547, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3704","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=3704, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-23004","layer":2},{"info":"compute unary expreesion, input=-23004, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-23105","layer":1},{"info":"number node, value=2634","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=2634, right_input=1705, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-4115","layer":3},{"info":"number node, value=1831","layer":4},{"info":"number node, value=7372","layer":4},{"info":"compute binary expreesion, left_input=1831, right_input=7372, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=15316324","layer":3},{"info":"compute binary expreesion, left_input=-4115, right_input=15316324, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=4148","layer":2},{"info":"compute unary expreesion, input=4148, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-23105, right_input=0, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1113020↓⪩⨒∯103001)⫣⪄⊒(⪩⨒∯1303313⩷∴⪩⨒∯1112223)↰)⋕⪉⪜(↨⩢⫨(⪩⨒∯221022⪝⪩⨒∯122221⫰⋱⪩⨒∯130213∋⪩⨒∯1303030))=⪩⨒∯3030","reverse_text":"⪩⨒∯3030=((⪩⨒∯1113020↓⪩⨒∯103001)⫣⪄⊒(⪩⨒∯1303313⩷∴⪩⨒∯1112223)↰)⋕⪉⪜(↨⩢⫨(⪩⨒∯221022⪝⪩⨒∯122221⫰⋱⪩⨒∯130213∋⪩⨒∯1303030))","cot":[{"info":"⪩⨒∯1113020↓⪩⨒∯103001=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯1303313⩷∴⪩⨒∯1112223=⪩⨒∯321320","layer":3},{"info":"⪩⨒∯-2012⫣⪄⊒⪩⨒∯321320=⪩⨒∯-11213130","layer":2},{"info":"⪩⨒∯-11213130↰=⪩⨒∯-11221001","layer":1},{"info":"⪩⨒∯221022⪝⪩⨒∯122221=⪩⨒∯-1000103","layer":3},{"info":"⪩⨒∯130213∋⪩⨒∯1303030=⪩⨒∯322123111210","layer":3},{"info":"⪩⨒∯-1000103⫰⋱⪩⨒∯322123111210=⪩⨒∯1000310","layer":2},{"info":"↨⩢⫨⪩⨒∯1000310=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-11221001⋕⪉⪜⪩⨒∯0=⪩⨒∯3030","layer":0}]}
{"id":78,"expression_no_base_symbol":"((($2059$↸$1687$)⫲⨊)∪⫐(⇈($5203$⪛⫼$2316$)))≧⫂∧($4198$⩁⩘$4374$⫔⩽⩺($1301$/$1305$))⊮⊟↴($1215$⋝⋈⪟$1224$⫢⨠($1556$⩺⪪$3044$))","expression":"(((⪩⨒∯200023↸⪩⨒∯122113)⫲⨊)∪⫐(⇈(⪩⨒∯1101103⪛⫼⪩⨒∯210030)))≧⫂∧(⪩⨒∯1001212⩁⩘⪩⨒∯1010112⫔⩽⩺(⪩⨒∯110111/⪩⨒∯110121))⊮⊟↴(⪩⨒∯102333⋝⋈⪟⪩⨒∯103020⫢⨠(⪩⨒∯120110⩺⪪⪩⨒∯233210))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":76110,"operation_count":13,"complexity_ratio":5854.615384615385,"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":2059,"base":4},"right_expr":{"type":"numeric_atoms","value":1687,"base":4}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5203,"base":4},"right_expr":{"type":"numeric_atoms","value":2316,"base":4}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4198,"base":4},"right_expr":{"type":"numeric_atoms","value":4374,"base":4}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1301,"base":4},"right_expr":{"type":"numeric_atoms","value":1305,"base":4}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1215,"base":4},"right_expr":{"type":"numeric_atoms","value":1224,"base":4}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1556,"base":4},"right_expr":{"type":"numeric_atoms","value":3044,"base":4}}}}},"used_operators":["Ph9nP6C5qx","7YooWSwCyH","CArV6hThFE","1eCjFl0mb9","SLLxy00UIr","hyuBjUqXlG","QDVgd2eftb","i9eR4S00cU","gub5Cegaqo","XhwjNDsVaA","xlXykHWxX1","2DDjHMKMc0","uvdQJvN4PV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Tw270M8GLb","fu6greOZ01","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⪩⨒∯-13121","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2059","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=2059, right_input=1687, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2059","layer":3},{"info":"compute unary expreesion, input=2059, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=11078","layer":2},{"info":"number node, value=5203","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=5203, right_input=2316, 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 = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=11078, right_input=-447, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=11078","layer":1},{"info":"number node, value=4198","layer":4},{"info":"number node, value=4374","layer":4},{"info":"compute binary expreesion, left_input=4198, right_input=4374, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=18444","layer":3},{"info":"number node, value=1301","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=1305, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=18444, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1215","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=1215, right_input=1224, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1215","layer":3},{"info":"number node, value=1556","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=1556, right_input=3044, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=1215, right_input=-1818, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=3554","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3554, 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=11078, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯200023↸⪩⨒∯122113)⫲⨊)∪⫐(⇈(⪩⨒∯1101103⪛⫼⪩⨒∯210030)))≧⫂∧(⪩⨒∯1001212⩁⩘⪩⨒∯1010112⫔⩽⩺(⪩⨒∯110111/⪩⨒∯110121))⊮⊟↴(⪩⨒∯102333⋝⋈⪟⪩⨒∯103020⫢⨠(⪩⨒∯120110⩺⪪⪩⨒∯233210))=⪩⨒∯-13121","reverse_text":"⪩⨒∯-13121=(((⪩⨒∯200023↸⪩⨒∯122113)⫲⨊)∪⫐(⇈(⪩⨒∯1101103⪛⫼⪩⨒∯210030)))≧⫂∧(⪩⨒∯1001212⩁⩘⪩⨒∯1010112⫔⩽⩺(⪩⨒∯110111/⪩⨒∯110121))⊮⊟↴(⪩⨒∯102333⋝⋈⪟⪩⨒∯103020⫢⨠(⪩⨒∯120110⩺⪪⪩⨒∯233210))","cot":[{"info":"⪩⨒∯200023↸⪩⨒∯122113=⪩⨒∯200023","layer":3},{"info":"⪩⨒∯200023⫲⨊=⪩⨒∯2231012","layer":2},{"info":"⪩⨒∯1101103⪛⫼⪩⨒∯210030=⪩⨒∯33020","layer":3},{"info":"⇈⪩⨒∯33020=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯2231012∪⫐⪩⨒∯-12333=⪩⨒∯2231012","layer":1},{"info":"⪩⨒∯1001212⩁⩘⪩⨒∯1010112=⪩⨒∯10200030","layer":3},{"info":"⪩⨒∯110111/⪩⨒∯110121=⪩⨒∯0","layer":3},{"info":"⪩⨒∯10200030⫔⩽⩺⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯102333⋝⋈⪟⪩⨒∯103020=⪩⨒∯102333","layer":3},{"info":"⪩⨒∯120110⩺⪪⪩⨒∯233210=⪩⨒∯-130122","layer":3},{"info":"⪩⨒∯102333⫢⨠⪩⨒∯-130122=⪩⨒∯313202","layer":2},{"info":"NaN⊮⊟↴⪩⨒∯313202=⪩⨒∯0","layer":1},{"info":"⪩⨒∯2231012≧⫂∧⪩⨒∯0=⪩⨒∯-13121","layer":0}]}
{"id":79,"expression_no_base_symbol":"(⫛⫱⨽($2162$⫢⨠$4281$))∼($2025$∣$7354$⨪↰⇹$2415$⊬⨰$4538$)⨓(⊙↵-(($7185$⇉⇱⇎)/$5077$⋹⋡⊁$1632$))","expression":"(⫛⫱⨽(⪩⨒∯201302⫢⨠⪩⨒∯1002321))∼(⪩⨒∯133221∣⪩⨒∯1302322⨪↰⇹⪩⨒∯211233⊬⨰⪩⨒∯1012322)⨓(⊙↵-((⪩⨒∯1300101⇉⇱⇎)/⪩⨒∯1033111⋹⋡⊁⪩⨒∯121200))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":65781,"operation_count":11,"complexity_ratio":5980.090909090909,"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":2162,"base":4},"right_expr":{"type":"numeric_atoms","value":4281,"base":4}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":2025,"base":4},"right_expr":{"type":"numeric_atoms","value":7354,"base":4}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2415,"base":4},"right_expr":{"type":"numeric_atoms","value":4538,"base":4}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":7185,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5077,"base":4},"right_expr":{"type":"numeric_atoms","value":1632,"base":4}}}}},"used_operators":["3ViojmjbAp","DyGG3AbaNP","DlLNRPXxWL","xlXykHWxX1","tmPS8pqC7x","PPChnnnBFF","s3Fd5m9Dh2","oWn0xqSxBt","XhwjNDsVaA","MRPaB8lBjK","As8RqfVLgs"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rJVOvQCfKK","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2162","layer":4},{"info":"number node, value=4281","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=4281, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=2025","layer":4},{"info":"number node, value=7354","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=7354, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2025","layer":3},{"info":"number node, value=2415","layer":4},{"info":"number node, value=4538","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=4538, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=19511","layer":3},{"info":"compute binary expreesion, left_input=2025, right_input=19511, 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=2025","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2025, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=7185","layer":4},{"info":"compute unary expreesion, input=7185, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-6967","layer":3},{"info":"number node, value=5077","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=5077, right_input=1632, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2382","layer":3},{"info":"compute binary expreesion, left_input=-6967, right_input=2382, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":2},{"info":"compute unary expreesion, input=-3, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⫛⫱⨽(⪩⨒∯201302⫢⨠⪩⨒∯1002321))∼(⪩⨒∯133221∣⪩⨒∯1302322⨪↰⇹⪩⨒∯211233⊬⨰⪩⨒∯1012322)⨓(⊙↵-((⪩⨒∯1300101⇉⇱⇎)/⪩⨒∯1033111⋹⋡⊁⪩⨒∯121200))=NaN","reverse_text":"NaN=(⫛⫱⨽(⪩⨒∯201302⫢⨠⪩⨒∯1002321))∼(⪩⨒∯133221∣⪩⨒∯1302322⨪↰⇹⪩⨒∯211233⊬⨰⪩⨒∯1012322)⨓(⊙↵-((⪩⨒∯1300101⇉⇱⇎)/⪩⨒∯1033111⋹⋡⊁⪩⨒∯121200))","cot":[{"info":"⪩⨒∯201302⫢⨠⪩⨒∯1002321=⪩⨒∯2200","layer":3},{"info":"⫛⫱⨽⪩⨒∯2200=⪩⨒∯0","layer":2},{"info":"⪩⨒∯133221∣⪩⨒∯1302322=⪩⨒∯133221","layer":3},{"info":"⪩⨒∯211233⊬⨰⪩⨒∯1012322=⪩⨒∯10300313","layer":3},{"info":"⪩⨒∯133221⨪↰⇹⪩⨒∯10300313=⪩⨒∯133221","layer":2},{"info":"⪩⨒∯0∼⪩⨒∯133221=NaN","layer":1},{"info":"⪩⨒∯1300101⇉⇱⇎=⪩⨒∯-1230313","layer":3},{"info":"⪩⨒∯1033111⋹⋡⊁⪩⨒∯121200=⪩⨒∯211032","layer":3},{"info":"⪩⨒∯-1230313/⪩⨒∯211032=⪩⨒∯-3","layer":2},{"info":"⊙↵-⪩⨒∯-3=⪩⨒∯0","layer":1},{"info":"NaN⨓⪩⨒∯0=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"(⩦⩻⨪($2578$⨿$2738$⩵∡$1389$≌$2113$))⩇∃⫛($1464$⩢≌)⨚($3633$⨑≵⋬$4326$)⪛(($2348$∽$2012$)⫸⇳($2125$⨴∎))","expression":"(⩦⩻⨪(⪩⨒∯220102⨿⪩⨒∯222302⩵∡⪩⨒∯111231≌⪩⨒∯201001))⩇∃⫛(⪩⨒∯112320⩢≌)⨚(⪩⨒∯320301⨑≵⋬⪩⨒∯1003212)⪛((⪩⨒∯210230∽⪩⨒∯133130)⫸⇳(⪩⨒∯201031⨴∎))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4942,"operation_count":12,"complexity_ratio":411.8333333333333,"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":2578,"base":4},"right_expr":{"type":"numeric_atoms","value":2738,"base":4}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1389,"base":4},"right_expr":{"type":"numeric_atoms","value":2113,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":1464,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3633,"base":4},"right_expr":{"type":"numeric_atoms","value":4326,"base":4}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2348,"base":4},"right_expr":{"type":"numeric_atoms","value":2012,"base":4}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":2125,"base":4}}}}},"used_operators":["1aApVXNlOP","2td37pGCOC","Y7wcNGrDQJ","abYXlopdE0","lyWz822IDG","uFcxV4UQCh","nREPSIbpBE","D617RFjZIq","XnXgA4xnOs","gx7XJ7hdpj","y4ImoPnbV5","CpSg5vQTgA"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","BjRHVeLaeN","12rbrZMWeM","hTbEZDJLEm","o20kRiQErp","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","QMFrweE19q","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2578","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=2738, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":3},{"info":"number node, value=1389","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=2113, 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=-319, right_input=nan, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(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":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=3633","layer":4},{"info":"number node, value=4326","layer":4},{"info":"compute binary expreesion, left_input=3633, right_input=4326, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-10738","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-10738, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=44112","layer":2},{"info":"number node, value=2348","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=2012, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-17598","layer":3},{"info":"number node, value=2125","layer":4},{"info":"compute unary expreesion, input=2125, 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=-17598, 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=44112, right_input=0, 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=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":0}],"base":4,"result_base":4,"text":"(⩦⩻⨪(⪩⨒∯220102⨿⪩⨒∯222302⩵∡⪩⨒∯111231≌⪩⨒∯201001))⩇∃⫛(⪩⨒∯112320⩢≌)⨚(⪩⨒∯320301⨑≵⋬⪩⨒∯1003212)⪛((⪩⨒∯210230∽⪩⨒∯133130)⫸⇳(⪩⨒∯201031⨴∎))=NaN","reverse_text":"NaN=(⩦⩻⨪(⪩⨒∯220102⨿⪩⨒∯222302⩵∡⪩⨒∯111231≌⪩⨒∯201001))⩇∃⫛(⪩⨒∯112320⩢≌)⨚(⪩⨒∯320301⨑≵⋬⪩⨒∯1003212)⪛((⪩⨒∯210230∽⪩⨒∯133130)⫸⇳(⪩⨒∯201031⨴∎))","cot":[{"info":"⪩⨒∯220102⨿⪩⨒∯222302=⪩⨒∯-10333","layer":3},{"info":"⪩⨒∯111231≌⪩⨒∯201001=NaN","layer":3},{"info":"⪩⨒∯-10333⩵∡NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⪩⨒∯112320⩢≌=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯320301⨑≵⋬⪩⨒∯1003212=⪩⨒∯-2213302","layer":3},{"info":"⪩⨒∯1301⨚⪩⨒∯-2213302=⪩⨒∯22301100","layer":2},{"info":"⪩⨒∯210230∽⪩⨒∯133130=⪩⨒∯-10102332","layer":3},{"info":"⪩⨒∯201031⨴∎=NaN","layer":3},{"info":"⪩⨒∯-10102332⫸⇳NaN=⪩⨒∯0","layer":2},{"info":"⪩⨒∯22301100⪛⪩⨒∯0=NaN","layer":1},{"info":"NaN⩇∃⫛NaN=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"(⪸($1623$⫲≸⪮$3828$))⫢⨠(⪁⇼$4038$)⪡$6680$∊∟⩊$3083$∖(($9353$⇍⊗$2647$)⩘)⊍⩺⋍($1891$⊴$1346$)∓⋝($3272$⩍⋽⫝̸$5001$)","expression":"(⪸(⪩⨒∯121113⫲≸⪮⪩⨒∯323310))⫢⨠(⪁⇼⪩⨒∯333012)⪡⪩⨒∯1220120∊∟⩊⪩⨒∯300023∖((⪩⨒∯2102021⇍⊗⪩⨒∯221113)⩘)⊍⩺⋍(⪩⨒∯131203⊴⪩⨒∯111002)∓⋝(⪩⨒∯303020⩍⋽⫝̸⪩⨒∯1032021)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":32366,"operation_count":13,"complexity_ratio":2489.6923076923076,"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":1623,"base":4},"right_expr":{"type":"numeric_atoms","value":3828,"base":4}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":4038,"base":4}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":6680,"base":4},"right_expr":{"type":"numeric_atoms","value":3083,"base":4}}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":9353,"base":4},"right_expr":{"type":"numeric_atoms","value":2647,"base":4}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1891,"base":4},"right_expr":{"type":"numeric_atoms","value":1346,"base":4}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3272,"base":4},"right_expr":{"type":"numeric_atoms","value":5001,"base":4}}}}},"used_operators":["tXD093vOjl","xlXykHWxX1","86A5ENbKR9","P3lXMJvFrc","oraRL2iQuh","ZNVVrZ94lY","ddLRYrp01A","OXDGMFPWZM","wvHyciQT5X","5uvYHDjeKN","PoHhknlbAi","Nsiff2A1zJ","BiWNJpBvwn"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9ICcGScMcE","dfKe02y8D2","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","dWAJyo7jo9","14qkJME0vr","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⪩⨒∯12","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1623","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=3828, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1623","layer":3},{"info":"compute unary expreesion, input=1623, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-27382","layer":2},{"info":"number node, value=4038","layer":4},{"info":"compute unary expreesion, input=4038, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=6680","layer":4},{"info":"number node, value=3083","layer":4},{"info":"compute binary expreesion, left_input=6680, right_input=3083, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3083","layer":3},{"info":"compute binary expreesion, left_input=422, right_input=3083, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":2},{"info":"compute binary expreesion, left_input=-27382, right_input=107, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=9353","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=9353, right_input=2647, 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 = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"number node, value=1891","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=1346, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3272","layer":4},{"info":"number node, value=5001","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=5001, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4055","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4055, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=67, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=6","layer":0}],"base":4,"result_base":4,"text":"(⪸(⪩⨒∯121113⫲≸⪮⪩⨒∯323310))⫢⨠(⪁⇼⪩⨒∯333012)⪡⪩⨒∯1220120∊∟⩊⪩⨒∯300023∖((⪩⨒∯2102021⇍⊗⪩⨒∯221113)⩘)⊍⩺⋍(⪩⨒∯131203⊴⪩⨒∯111002)∓⋝(⪩⨒∯303020⩍⋽⫝̸⪩⨒∯1032021)=⪩⨒∯12","reverse_text":"⪩⨒∯12=(⪸(⪩⨒∯121113⫲≸⪮⪩⨒∯323310))⫢⨠(⪁⇼⪩⨒∯333012)⪡⪩⨒∯1220120∊∟⩊⪩⨒∯300023∖((⪩⨒∯2102021⇍⊗⪩⨒∯221113)⩘)⊍⩺⋍(⪩⨒∯131203⊴⪩⨒∯111002)∓⋝(⪩⨒∯303020⩍⋽⫝̸⪩⨒∯1032021)","cot":[{"info":"⪩⨒∯121113⫲≸⪮⪩⨒∯323310=⪩⨒∯121113","layer":3},{"info":"⪸⪩⨒∯121113=⪩⨒∯-12223312","layer":2},{"info":"⪁⇼⪩⨒∯333012=⪩⨒∯12212","layer":3},{"info":"⪩⨒∯1220120∊∟⩊⪩⨒∯300023=⪩⨒∯300023","layer":3},{"info":"⪩⨒∯12212⪡⪩⨒∯300023=⪩⨒∯1223","layer":2},{"info":"⪩⨒∯-12223312⫢⨠⪩⨒∯1223=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯2102021⇍⊗⪩⨒∯221113=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯-3310⩘=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯131203⊴⪩⨒∯111002=NaN","layer":3},{"info":"⪩⨒∯303020⩍⋽⫝̸⪩⨒∯1032021=⪩⨒∯333113","layer":3},{"info":"NaN∓⋝⪩⨒∯333113=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯1003⊍⩺⋍⪩⨒∯1003=NaN","layer":1},{"info":"⪩⨒∯2200∖NaN=⪩⨒∯12","layer":0}]}
{"id":82,"expression_no_base_symbol":"(($5140$↳∿⪆$3505$)⨼⩣($3685$⊵↤)⫡⨏(∂($2591$≭$5780$)))∝(($5759$∝$4255$)⫥∨⫟($1295$∖$5383$))↳∿⪆($2414$⪃↞⩐)⊕∕(⇁⨣⪵$1757$)","expression":"((⪩⨒∯1100110↳∿⪆⪩⨒∯312301)⨼⩣(⪩⨒∯321211⊵↤)⫡⨏(∂(⪩⨒∯220133≭⪩⨒∯1122110)))∝((⪩⨒∯1121333∝⪩⨒∯1002133)⫥∨⫟(⪩⨒∯110033∖⪩⨒∯1110013))↳∿⪆(⪩⨒∯211232⪃↞⩐)⊕∕(⇁⨣⪵⪩⨒∯123131)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6986,"operation_count":14,"complexity_ratio":499.0,"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":5140,"base":4},"right_expr":{"type":"numeric_atoms","value":3505,"base":4}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":3685,"base":4}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2591,"base":4},"right_expr":{"type":"numeric_atoms","value":5780,"base":4}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5759,"base":4},"right_expr":{"type":"numeric_atoms","value":4255,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1295,"base":4},"right_expr":{"type":"numeric_atoms","value":5383,"base":4}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":2414,"base":4}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1757,"base":4}}}}},"used_operators":["cTDWOvIxvz","QMFrweE19q","JxwMv5le6e","Cw4SuJJGHO","7IPrd9c3lf","Uaa54Peajs","rxpJgHHUmx","KYD54nUTWz","tXD093vOjl","9cloC0Ngie","grXIztHqDa","inkyxCbjAn"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5140","layer":4},{"info":"number node, value=3505","layer":4},{"info":"compute binary expreesion, left_input=5140, right_input=3505, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=3685","layer":4},{"info":"compute unary expreesion, input=3685, 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 binary expreesion, left_input=nan, right_input=67, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=2591","layer":4},{"info":"number node, value=5780","layer":4},{"info":"compute binary expreesion, left_input=2591, right_input=5780, 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 = 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 = 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=5759","layer":4},{"info":"number node, value=4255","layer":4},{"info":"compute binary expreesion, left_input=5759, right_input=4255, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5764","layer":3},{"info":"number node, value=1295","layer":4},{"info":"number node, value=5383","layer":4},{"info":"compute binary expreesion, left_input=1295, right_input=5383, 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=5764, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2414","layer":4},{"info":"compute unary expreesion, input=2414, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=14790","layer":3},{"info":"number node, value=1757","layer":4},{"info":"compute unary expreesion, input=1757, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14790, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=14790","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14790, 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 = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1100110↳∿⪆⪩⨒∯312301)⨼⩣(⪩⨒∯321211⊵↤)⫡⨏(∂(⪩⨒∯220133≭⪩⨒∯1122110)))∝((⪩⨒∯1121333∝⪩⨒∯1002133)⫥∨⫟(⪩⨒∯110033∖⪩⨒∯1110013))↳∿⪆(⪩⨒∯211232⪃↞⩐)⊕∕(⇁⨣⪵⪩⨒∯123131)=NaN","reverse_text":"NaN=((⪩⨒∯1100110↳∿⪆⪩⨒∯312301)⨼⩣(⪩⨒∯321211⊵↤)⫡⨏(∂(⪩⨒∯220133≭⪩⨒∯1122110)))∝((⪩⨒∯1121333∝⪩⨒∯1002133)⫥∨⫟(⪩⨒∯110033∖⪩⨒∯1110013))↳∿⪆(⪩⨒∯211232⪃↞⩐)⊕∕(⇁⨣⪵⪩⨒∯123131)","cot":[{"info":"⪩⨒∯1100110↳∿⪆⪩⨒∯312301=NaN","layer":3},{"info":"⪩⨒∯321211⊵↤=⪩⨒∯1003","layer":3},{"info":"NaN⨼⩣⪩⨒∯1003=NaN","layer":2},{"info":"⪩⨒∯220133≭⪩⨒∯1122110=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"⪩⨒∯1121333∝⪩⨒∯1002133=⪩⨒∯1122010","layer":3},{"info":"⪩⨒∯110033∖⪩⨒∯1110013=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1122010⫥∨⫟⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯211232⪃↞⩐=⪩⨒∯3213012","layer":3},{"info":"⇁⨣⪵⪩⨒∯123131=NaN","layer":3},{"info":"⪩⨒∯3213012⊕∕NaN=⪩⨒∯3213012","layer":2},{"info":"NaN↳∿⪆⪩⨒∯3213012=NaN","layer":1},{"info":"NaN∝NaN=NaN","layer":0}]}
{"id":83,"expression_no_base_symbol":"($6501$⫁$1669$⋝⋈⪟$1365$⩁⩘$6597$⫦⪉$2933$→⨶⪴$3353$⋓$1490$⨪↰⇹$1062$)∴((≪($3352$⊝⪿⪼$4136$))⪛⫼($1603$⪬$5169$⪨≂(⊲⪭$5126$)))","expression":"(⪩⨒∯1211211⫁⪩⨒∯122011⋝⋈⪟⪩⨒∯111111⩁⩘⪩⨒∯1213011⫦⪉⪩⨒∯231311→⨶⪴⪩⨒∯310121⋓⪩⨒∯113102⨪↰⇹⪩⨒∯100212)∴((≪(⪩⨒∯310120⊝⪿⪼⪩⨒∯1000220))⪛⫼(⪩⨒∯121003⪬⪩⨒∯1100301⪨≂(⊲⪭⪩⨒∯1100012)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2392,"operation_count":14,"complexity_ratio":170.85714285714286,"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":6501,"base":4},"right_expr":{"type":"numeric_atoms","value":1669,"base":4}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1365,"base":4},"right_expr":{"type":"numeric_atoms","value":6597,"base":4}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2933,"base":4},"right_expr":{"type":"numeric_atoms","value":3353,"base":4}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1490,"base":4},"right_expr":{"type":"numeric_atoms","value":1062,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3352,"base":4},"right_expr":{"type":"numeric_atoms","value":4136,"base":4}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1603,"base":4},"right_expr":{"type":"numeric_atoms","value":5169,"base":4}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":5126,"base":4}}}}},"used_operators":["hrf7POJlIJ","wscyQdcy20","2DDjHMKMc0","0ajvFaJAv0","gub5Cegaqo","T2fj7uvVaJ","bF6eod5Gvf","tmPS8pqC7x","hyuBjUqXlG","Qtd6bqUJcN","3Oe9XWJUTD","sdazOOVcIp","Ez1Nq5fNfI","k7HXdKtiEU"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","DpFCA1CohY","IWmyXbctLI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","9FxExcQeMw","rJVOvQCfKK","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","i8ToyICDmI","xUOZtlo3hN"],"result":"⪩⨒∯2220320","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6501","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=6501, right_input=1669, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=6597","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=6597, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=27336","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=27336, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":2},{"info":"number node, value=2933","layer":4},{"info":"number node, value=3353","layer":4},{"info":"compute binary expreesion, left_input=2933, right_input=3353, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-10059","layer":3},{"info":"number node, value=1490","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=1062, 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=1490","layer":3},{"info":"compute binary expreesion, left_input=-10059, right_input=1490, 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=160, right_input=0, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4580","layer":1},{"info":"number node, value=3352","layer":4},{"info":"number node, value=4136","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=4136, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=60212","layer":3},{"info":"compute unary expreesion, input=60212, 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=1603","layer":4},{"info":"number node, value=5169","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=5169, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=5126","layer":4},{"info":"compute unary expreesion, input=5126, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-5300","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-5300, 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=13170","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=13170, 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=4580, right_input=968, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=10808","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1211211⫁⪩⨒∯122011⋝⋈⪟⪩⨒∯111111⩁⩘⪩⨒∯1213011⫦⪉⪩⨒∯231311→⨶⪴⪩⨒∯310121⋓⪩⨒∯113102⨪↰⇹⪩⨒∯100212)∴((≪(⪩⨒∯310120⊝⪿⪼⪩⨒∯1000220))⪛⫼(⪩⨒∯121003⪬⪩⨒∯1100301⪨≂(⊲⪭⪩⨒∯1100012)))=⪩⨒∯2220320","reverse_text":"⪩⨒∯2220320=(⪩⨒∯1211211⫁⪩⨒∯122011⋝⋈⪟⪩⨒∯111111⩁⩘⪩⨒∯1213011⫦⪉⪩⨒∯231311→⨶⪴⪩⨒∯310121⋓⪩⨒∯113102⨪↰⇹⪩⨒∯100212)∴((≪(⪩⨒∯310120⊝⪿⪼⪩⨒∯1000220))⪛⫼(⪩⨒∯121003⪬⪩⨒∯1100301⪨≂(⊲⪭⪩⨒∯1100012)))","cot":[{"info":"⪩⨒∯1211211⫁⪩⨒∯122011=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯111111⩁⩘⪩⨒∯1213011=⪩⨒∯12223020","layer":3},{"info":"⪩⨒∯2200⋝⋈⪟⪩⨒∯12223020=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯231311→⨶⪴⪩⨒∯310121=⪩⨒∯-2131023","layer":3},{"info":"⪩⨒∯113102⨪↰⇹⪩⨒∯100212=⪩⨒∯113102","layer":3},{"info":"⪩⨒∯-2131023⋓⪩⨒∯113102=⪩⨒∯0","layer":2},{"info":"⪩⨒∯2200⫦⪉⪩⨒∯0=⪩⨒∯1013210","layer":1},{"info":"⪩⨒∯310120⊝⪿⪼⪩⨒∯1000220=⪩⨒∯32230310","layer":3},{"info":"≪⪩⨒∯32230310=⪩⨒∯32101","layer":2},{"info":"⪩⨒∯121003⪬⪩⨒∯1100301=⪩⨒∯103102","layer":3},{"info":"⊲⪭⪩⨒∯1100012=⪩⨒∯-1102310","layer":3},{"info":"⪩⨒∯103102⪨≂⪩⨒∯-1102310=⪩⨒∯3031302","layer":2},{"info":"⪩⨒∯32101⪛⫼⪩⨒∯3031302=⪩⨒∯33020","layer":1},{"info":"⪩⨒∯1013210∴⪩⨒∯33020=⪩⨒∯2220320","layer":0}]}
{"id":84,"expression_no_base_symbol":"((($4504$⇔⨋)⨽$5116$∴$1278$)⋆⋳)+$7239$⋹⋡⊁$3400$≌($5139$⫃⨇$4100$)⪟⇏($5485$⨚⇆$8631$⪛⫼$2780$↤⩊$1983$)","expression":"(((⪩⨒∯1012120⇔⨋)⨽⪩⨒∯1033330∴⪩⨒∯103332)⋆⋳)+⪩⨒∯1301013⋹⋡⊁⪩⨒∯311020≌(⪩⨒∯1100103⫃⨇⪩⨒∯1000010)⪟⇏(⪩⨒∯1111231⨚⇆⪩⨒∯2012313⪛⫼⪩⨒∯223130↤⩊⪩⨒∯132333)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":144380,"operation_count":12,"complexity_ratio":12031.666666666666,"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":4504,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":5116,"base":4},"right_expr":{"type":"numeric_atoms","value":1278,"base":4}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7239,"base":4},"right_expr":{"type":"numeric_atoms","value":3400,"base":4}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":5139,"base":4},"right_expr":{"type":"numeric_atoms","value":4100,"base":4}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":5485,"base":4},"right_expr":{"type":"numeric_atoms","value":8631,"base":4}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2780,"base":4},"right_expr":{"type":"numeric_atoms","value":1983,"base":4}}}}},"used_operators":["W4YGzv6Whe","6MpZysEj17","8HhzD0ZcuI","uBihLCJcMX","hrf7POJlIJ","GODebY97qR","lyWz822IDG","As8RqfVLgs","09Ly4LVMIf","hyuBjUqXlG","lwHaAYXP2r","13rbtpv6ld"],"dependent_operators":["9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4504","layer":4},{"info":"compute unary expreesion, input=4504, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=25954","layer":3},{"info":"number node, value=5116","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=5116, right_input=1278, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11880","layer":3},{"info":"compute binary expreesion, left_input=25954, right_input=11880, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2020864674","layer":2},{"info":"compute unary expreesion, input=-2020864674, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=inf","layer":1},{"info":"number node, value=7239","layer":4},{"info":"number node, value=3400","layer":4},{"info":"compute binary expreesion, left_input=7239, right_input=3400, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4150","layer":3},{"info":"number node, value=5139","layer":4},{"info":"number node, value=4100","layer":4},{"info":"compute binary expreesion, left_input=5139, right_input=4100, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-16432","layer":3},{"info":"compute binary expreesion, left_input=4150, right_input=-16432, 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=5485","layer":4},{"info":"number node, value=8631","layer":4},{"info":"compute binary expreesion, left_input=5485, right_input=8631, 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=2780","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=1983, 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 = 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=nan, right_input=nan, op_id = GODebY97qR binary_op_definition= 'a⪟⇏b = { ((b⨑≵⋬b)⫸⇳(440⪒a)) , if (b⇐≅)<189 ; ((219⨑≵⋬a)⪘⫢(b⨵⪆b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1012120⇔⨋)⨽⪩⨒∯1033330∴⪩⨒∯103332)⋆⋳)+⪩⨒∯1301013⋹⋡⊁⪩⨒∯311020≌(⪩⨒∯1100103⫃⨇⪩⨒∯1000010)⪟⇏(⪩⨒∯1111231⨚⇆⪩⨒∯2012313⪛⫼⪩⨒∯223130↤⩊⪩⨒∯132333)=NaN","reverse_text":"NaN=(((⪩⨒∯1012120⇔⨋)⨽⪩⨒∯1033330∴⪩⨒∯103332)⋆⋳)+⪩⨒∯1301013⋹⋡⊁⪩⨒∯311020≌(⪩⨒∯1100103⫃⨇⪩⨒∯1000010)⪟⇏(⪩⨒∯1111231⨚⇆⪩⨒∯2012313⪛⫼⪩⨒∯223130↤⩊⪩⨒∯132333)","cot":[{"info":"⪩⨒∯1012120⇔⨋=⪩⨒∯12111202","layer":3},{"info":"⪩⨒∯1033330∴⪩⨒∯103332=⪩⨒∯2321220","layer":3},{"info":"⪩⨒∯12111202⨽⪩⨒∯2321220=⪩⨒∯-1320130333022202","layer":2},{"info":"⪩⨒∯-1320130333022202⋆⋳=Inf","layer":1},{"info":"⪩⨒∯1301013⋹⋡⊁⪩⨒∯311020=⪩⨒∯1000312","layer":3},{"info":"⪩⨒∯1100103⫃⨇⪩⨒∯1000010=⪩⨒∯-10000300","layer":3},{"info":"⪩⨒∯1000312≌⪩⨒∯-10000300=NaN","layer":2},{"info":"⪩⨒∯1111231⨚⇆⪩⨒∯2012313=NaN","layer":3},{"info":"⪩⨒∯223130↤⩊⪩⨒∯132333=NaN","layer":3},{"info":"NaN⪛⫼NaN=NaN","layer":2},{"info":"NaN⪟⇏NaN=NaN","layer":1},{"info":"Inf+NaN=NaN","layer":0}]}
{"id":85,"expression_no_base_symbol":"≯(⇖($8557$≥⨤⩑$2242$)↤⩊($6992$⇤$1226$))","expression":"≯(⇖(⪩⨒∯2011231≥⨤⩑⪩⨒∯203002)↤⩊(⪩⨒∯1231100⇤⪩⨒∯103022))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":210,"operation_count":5,"complexity_ratio":42.0,"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":8557,"base":4},"right_expr":{"type":"numeric_atoms","value":2242,"base":4}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6992,"base":4},"right_expr":{"type":"numeric_atoms","value":1226,"base":4}}}}},"used_operators":["keWfFq85dY","tfWHHpNKUN","13rbtpv6ld","gJLn6v0xnP","YSKBFp38Pu"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","2DQ55sFlQl","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8557","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=8557, right_input=2242, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=6992","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=6992, right_input=1226, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-38242","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-38242, 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 = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":0}],"base":4,"result_base":4,"text":"≯(⇖(⪩⨒∯2011231≥⨤⩑⪩⨒∯203002)↤⩊(⪩⨒∯1231100⇤⪩⨒∯103022))=⪩⨒∯0","reverse_text":"⪩⨒∯0=≯(⇖(⪩⨒∯2011231≥⨤⩑⪩⨒∯203002)↤⩊(⪩⨒∯1231100⇤⪩⨒∯103022))","cot":[{"info":"⪩⨒∯2011231≥⨤⩑⪩⨒∯203002=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯1231100⇤⪩⨒∯103022=⪩⨒∯-21111202","layer":3},{"info":"⪩⨒∯103102↤⩊⪩⨒∯-21111202=NaN","layer":2},{"info":"⇖NaN=⪩⨒∯2200","layer":1},{"info":"≯⪩⨒∯2200=⪩⨒∯0","layer":0}]}
{"id":86,"expression_no_base_symbol":"(($3325$⨭⪣$1699$)∊∟⩊($1534$↡⊰⫅$9176$)⇐≅)≀⩗∶(⪭⩑⪱($1180$⪔$5268$*$2162$⨑⩅≇$1828$))","expression":"((⪩⨒∯303331⨭⪣⪩⨒∯122203)∊∟⩊(⪩⨒∯113332↡⊰⫅⪩⨒∯2033120)⇐≅)≀⩗∶(⪭⩑⪱(⪩⨒∯102130⪔⪩⨒∯1102110*⪩⨒∯201302⨑⩅≇⪩⨒∯130210))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":139522,"operation_count":9,"complexity_ratio":15502.444444444445,"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":3325,"base":4},"right_expr":{"type":"numeric_atoms","value":1699,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1534,"base":4},"right_expr":{"type":"numeric_atoms","value":9176,"base":4}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1180,"base":4},"right_expr":{"type":"numeric_atoms","value":5268,"base":4}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2162,"base":4},"right_expr":{"type":"numeric_atoms","value":1828,"base":4}}}}},"used_operators":["8INZBEW696","wEfv7U73WA","ddLRYrp01A","kn8WO9XteQ","VCtxkLNOzz","SIgE0bArFf","9HNa5Wba9A","GjBEYRfMaF","h92wMvzauj"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⪩⨒∯-13011","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3325","layer":4},{"info":"number node, value=1699","layer":4},{"info":"compute binary expreesion, left_input=3325, right_input=1699, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2046","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=9176","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=9176, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=18352","layer":3},{"info":"compute binary expreesion, left_input=2046, right_input=18352, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=18352","layer":2},{"info":"compute unary expreesion, input=18352, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=55024","layer":1},{"info":"number node, value=1180","layer":4},{"info":"number node, value=5268","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=5268, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=2162","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=1828, 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=-6486","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-6486, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-2918700","layer":2},{"info":"compute unary expreesion, input=-2918700, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=55024, right_input=8320752, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-453","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯303331⨭⪣⪩⨒∯122203)∊∟⩊(⪩⨒∯113332↡⊰⫅⪩⨒∯2033120)⇐≅)≀⩗∶(⪭⩑⪱(⪩⨒∯102130⪔⪩⨒∯1102110*⪩⨒∯201302⨑⩅≇⪩⨒∯130210))=⪩⨒∯-13011","reverse_text":"⪩⨒∯-13011=((⪩⨒∯303331⨭⪣⪩⨒∯122203)∊∟⩊(⪩⨒∯113332↡⊰⫅⪩⨒∯2033120)⇐≅)≀⩗∶(⪭⩑⪱(⪩⨒∯102130⪔⪩⨒∯1102110*⪩⨒∯201302⨑⩅≇⪩⨒∯130210))","cot":[{"info":"⪩⨒∯303331⨭⪣⪩⨒∯122203=⪩⨒∯133332","layer":3},{"info":"⪩⨒∯113332↡⊰⫅⪩⨒∯2033120=⪩⨒∯10132300","layer":3},{"info":"⪩⨒∯133332∊∟⩊⪩⨒∯10132300=⪩⨒∯10132300","layer":2},{"info":"⪩⨒∯10132300⇐≅=⪩⨒∯31123300","layer":1},{"info":"⪩⨒∯102130⪔⪩⨒∯1102110=⪩⨒∯13002","layer":3},{"info":"⪩⨒∯201302⨑⩅≇⪩⨒∯130210=⪩⨒∯-1211112","layer":3},{"info":"⪩⨒∯13002*⪩⨒∯-1211112=⪩⨒∯-23020210230","layer":2},{"info":"⪭⩑⪱⪩⨒∯-23020210230=⪩⨒∯133233123300","layer":1},{"info":"⪩⨒∯31123300≀⩗∶⪩⨒∯133233123300=⪩⨒∯-13011","layer":0}]}
{"id":87,"expression_no_base_symbol":"(($2740$⫃⨇$2646$)≚⋢)≨$5547$⋹⋡⊁$2770$∊∟⩊($1300$∠↢$6269$)⩍⋽⫝̸((⪹$1121$⪘⫢$1610$)⇮⋭(≻⋜$4549$)∙⊟(⨵$3528$))","expression":"((⪩⨒∯222310⫃⨇⪩⨒∯221112)≚⋢)≨⪩⨒∯1112223⋹⋡⊁⪩⨒∯223102∊∟⩊(⪩⨒∯110110∠↢⪩⨒∯1201331)⩍⋽⫝̸((⪹⪩⨒∯101201⪘⫢⪩⨒∯121022)⇮⋭(≻⋜⪩⨒∯1013011)∙⊟(⨵⪩⨒∯313020))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":86743,"operation_count":13,"complexity_ratio":6672.538461538462,"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":2740,"base":4},"right_expr":{"type":"numeric_atoms","value":2646,"base":4}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5547,"base":4},"right_expr":{"type":"numeric_atoms","value":2770,"base":4}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1300,"base":4},"right_expr":{"type":"numeric_atoms","value":6269,"base":4}}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1121,"base":4},"right_expr":{"type":"numeric_atoms","value":1610,"base":4}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":4549,"base":4}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3528,"base":4}}}}},"used_operators":["BiWNJpBvwn","0KMCeP1Jsh","MahUMFw56D","09Ly4LVMIf","ddLRYrp01A","As8RqfVLgs","KbjG8mgYpV","vkpjKywKVM","USyYr0JgAa","oacrs7FA3X","SxTAKzQCrw","3tj9sqzovi","Tl3Y52tvF8"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","3ViojmjbAp","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","tifHPKVTfV","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ"],"result":"⪩⨒∯-10110","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2740","layer":4},{"info":"number node, value=2646","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=2646, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-10616","layer":3},{"info":"compute unary expreesion, input=-10616, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=5547","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=5547, right_input=2770, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3520","layer":3},{"info":"number node, value=1300","layer":4},{"info":"number node, value=6269","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=6269, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-91884","layer":3},{"info":"compute binary expreesion, left_input=3520, right_input=-91884, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-91884","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=-91884, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=440","layer":1},{"info":"number node, value=1121","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=1610, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2118","layer":3},{"info":"compute unary expreesion, input=2118, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1938","layer":2},{"info":"number node, value=4549","layer":4},{"info":"compute unary expreesion, input=4549, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=3528","layer":4},{"info":"compute unary expreesion, input=3528, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-29433","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-29433, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1938, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=440, right_input=67, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-276","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯222310⫃⨇⪩⨒∯221112)≚⋢)≨⪩⨒∯1112223⋹⋡⊁⪩⨒∯223102∊∟⩊(⪩⨒∯110110∠↢⪩⨒∯1201331)⩍⋽⫝̸((⪹⪩⨒∯101201⪘⫢⪩⨒∯121022)⇮⋭(≻⋜⪩⨒∯1013011)∙⊟(⨵⪩⨒∯313020))=⪩⨒∯-10110","reverse_text":"⪩⨒∯-10110=((⪩⨒∯222310⫃⨇⪩⨒∯221112)≚⋢)≨⪩⨒∯1112223⋹⋡⊁⪩⨒∯223102∊∟⩊(⪩⨒∯110110∠↢⪩⨒∯1201331)⩍⋽⫝̸((⪹⪩⨒∯101201⪘⫢⪩⨒∯121022)⇮⋭(≻⋜⪩⨒∯1013011)∙⊟(⨵⪩⨒∯313020))","cot":[{"info":"⪩⨒∯222310⫃⨇⪩⨒∯221112=⪩⨒∯-2211320","layer":3},{"info":"⪩⨒∯-2211320≚⋢=⪩⨒∯-1121","layer":2},{"info":"⪩⨒∯1112223⋹⋡⊁⪩⨒∯223102=⪩⨒∯313000","layer":3},{"info":"⪩⨒∯110110∠↢⪩⨒∯1201331=⪩⨒∯-112123230","layer":3},{"info":"⪩⨒∯313000∊∟⩊⪩⨒∯-112123230=⪩⨒∯-112123230","layer":2},{"info":"⪩⨒∯-1121≨⪩⨒∯-112123230=⪩⨒∯12320","layer":1},{"info":"⪩⨒∯101201⪘⫢⪩⨒∯121022=⪩⨒∯201012","layer":3},{"info":"⪹⪩⨒∯201012=⪩⨒∯-132102","layer":2},{"info":"≻⋜⪩⨒∯1013011=NaN","layer":3},{"info":"⨵⪩⨒∯313020=⪩⨒∯-13023321","layer":3},{"info":"NaN∙⊟⪩⨒∯-13023321=NaN","layer":2},{"info":"⪩⨒∯-132102⇮⋭NaN=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯12320⩍⋽⫝̸⪩⨒∯1003=⪩⨒∯-10110","layer":0}]}
{"id":88,"expression_no_base_symbol":"⊈($1120$≳⇉$7205$⨽(↩$2384$))∺≝⩲($4945$⫉⨲⊜$1506$≒∊($3623$⊅))","expression":"⊈(⪩⨒∯101200≳⇉⪩⨒∯1300211⨽(↩⪩⨒∯211100))∺≝⩲(⪩⨒∯1031101⫉⨲⊜⪩⨒∯113202≒∊(⪩⨒∯320213⊅))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14682,"operation_count":8,"complexity_ratio":1835.25,"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":1120,"base":4},"right_expr":{"type":"numeric_atoms","value":7205,"base":4}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2384,"base":4}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4945,"base":4},"right_expr":{"type":"numeric_atoms","value":1506,"base":4}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":3623,"base":4}}}}},"used_operators":["RHru8klgy8","KPf6cnQVty","8HhzD0ZcuI","V0kx6qeWkN","jLgFTUHLKL","5KTvxBwnZo","WhqkvtTD3t","7p6YLioM7f"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eewbuw0ToL","zVYPLywUTj","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U"],"result":"⪩⨒∯-11032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1120","layer":4},{"info":"number node, value=7205","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=7205, 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=2384","layer":4},{"info":"compute unary expreesion, input=2384, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16292","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16292, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=4945","layer":4},{"info":"number node, value=1506","layer":4},{"info":"compute binary expreesion, left_input=4945, right_input=1506, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3623","layer":4},{"info":"compute unary expreesion, input=3623, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-174, 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=nan, right_input=484, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-334","layer":0}],"base":4,"result_base":4,"text":"⊈(⪩⨒∯101200≳⇉⪩⨒∯1300211⨽(↩⪩⨒∯211100))∺≝⩲(⪩⨒∯1031101⫉⨲⊜⪩⨒∯113202≒∊(⪩⨒∯320213⊅))=⪩⨒∯-11032","reverse_text":"⪩⨒∯-11032=⊈(⪩⨒∯101200≳⇉⪩⨒∯1300211⨽(↩⪩⨒∯211100))∺≝⩲(⪩⨒∯1031101⫉⨲⊜⪩⨒∯113202≒∊(⪩⨒∯320213⊅))","cot":[{"info":"⪩⨒∯101200≳⇉⪩⨒∯1300211=NaN","layer":3},{"info":"↩⪩⨒∯211100=⪩⨒∯-3332210","layer":3},{"info":"NaN⨽⪩⨒∯-3332210=NaN","layer":2},{"info":"⪩⨒∯1031101⫉⨲⊜⪩⨒∯113202=⪩⨒∯0","layer":3},{"info":"⪩⨒∯320213⊅=⪩⨒∯-2232","layer":3},{"info":"⪩⨒∯0≒∊⪩⨒∯-2232=⪩⨒∯13210","layer":2},{"info":"NaN∺≝⩲⪩⨒∯13210=⪩⨒∯2200","layer":1},{"info":"⊈⪩⨒∯2200=⪩⨒∯-11032","layer":0}]}
{"id":89,"expression_no_base_symbol":"(⨮↦↱($3815$∷$2107$↱(⨦⪝$1841$)))⨫⇇↔(∜⨇(⫎≠⋺$4869$))⇡⇂(⋃(↩⪖$2305$))","expression":"(⨮↦↱(⪩⨒∯323213∷⪩⨒∯200323↱(⨦⪝⪩⨒∯130301)))⨫⇇↔(∜⨇(⫎≠⋺⪩⨒∯1030011))⇡⇂(⋃(↩⪖⪩⨒∯210001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":275616,"operation_count":10,"complexity_ratio":27561.6,"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":3815,"base":4},"right_expr":{"type":"numeric_atoms","value":2107,"base":4}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1841,"base":4}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4869,"base":4}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2305,"base":4}}}}},"used_operators":["LXhwmt4mBO","sYcpBQ0cFf","SR5kFfdi6N","D3AQDKkPcf","SUjycxNXIR","UMwdvZNt44","uFPyJr306J","LYeZOJ0nQG","3mBM5G4a3l","fG6uBQFnGz"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","NTOWxs364D","7j4O788W3g","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⪩⨒∯-20033","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3815","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=3815, right_input=2107, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2107","layer":3},{"info":"number node, value=1841","layer":4},{"info":"compute unary expreesion, input=1841, 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=2107, right_input=-1884, 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=240","layer":2},{"info":"compute unary expreesion, input=240, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-693162","layer":1},{"info":"number node, value=4869","layer":4},{"info":"compute unary expreesion, input=4869, 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 = uFPyJr306J, unary_op_definition = '∜⨇a = { (a⨟⋌⩍a) , if (a⫽⇹≛)!=2 or (↩⪖a)==528 or (∡a)>=548 ; (132⩵∡a) , else }', output=0","layer":2},{"info":"number node, value=2305","layer":4},{"info":"compute unary expreesion, input=2305, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-16812","layer":3},{"info":"compute unary expreesion, input=-16812, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-33522","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-33522, 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":1},{"info":"compute binary expreesion, left_input=-693162, right_input=219356, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":4,"result_base":4,"text":"(⨮↦↱(⪩⨒∯323213∷⪩⨒∯200323↱(⨦⪝⪩⨒∯130301)))⨫⇇↔(∜⨇(⫎≠⋺⪩⨒∯1030011))⇡⇂(⋃(↩⪖⪩⨒∯210001))=⪩⨒∯-20033","reverse_text":"⪩⨒∯-20033=(⨮↦↱(⪩⨒∯323213∷⪩⨒∯200323↱(⨦⪝⪩⨒∯130301)))⨫⇇↔(∜⨇(⫎≠⋺⪩⨒∯1030011))⇡⇂(⋃(↩⪖⪩⨒∯210001))","cot":[{"info":"⪩⨒∯323213∷⪩⨒∯200323=⪩⨒∯200323","layer":3},{"info":"⨦⪝⪩⨒∯130301=⪩⨒∯-131130","layer":3},{"info":"⪩⨒∯200323↱⪩⨒∯-131130=⪩⨒∯3300","layer":2},{"info":"⨮↦↱⪩⨒∯3300=⪩⨒∯-2221032222","layer":1},{"info":"⫎≠⋺⪩⨒∯1030011=⪩⨒∯0","layer":3},{"info":"∜⨇⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"↩⪖⪩⨒∯210001=⪩⨒∯-10012230","layer":3},{"info":"⋃⪩⨒∯-10012230=⪩⨒∯-20023302","layer":2},{"info":"⪩⨒∯0⇡⇂⪩⨒∯-20023302=⪩⨒∯311203130","layer":1},{"info":"⪩⨒∯-2221032222⨫⇇↔⪩⨒∯311203130=⪩⨒∯-20033","layer":0}]}
{"id":90,"expression_no_base_symbol":"((⩦⊞($1180$⨱∎))⊊)∕⩚($1039$↳∿⪆$1240$)⨂≜(⩷$3740$)⪭≯(∤$2809$⇤$2067$)","expression":"((⩦⊞(⪩⨒∯102130⨱∎))⊊)∕⩚(⪩⨒∯100033↳∿⪆⪩⨒∯103120)⨂≜(⩷⪩⨒∯322130)⪭≯(∤⪩⨒∯223321⇤⪩⨒∯200103)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2938,"operation_count":10,"complexity_ratio":293.8,"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":1180,"base":4}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1039,"base":4},"right_expr":{"type":"numeric_atoms","value":1240,"base":4}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":3740,"base":4}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2809,"base":4},"right_expr":{"type":"numeric_atoms","value":2067,"base":4}}}}},"used_operators":["z9ffQ9n5Zr","W9R8I5fN5A","u7fv1HBiaC","MmTdOpaElr","XAx5wpdLa6","k1SHOSEABc","Cw4SuJJGHO","1h0rLqGiFr","k2HlF1dBQh","YSKBFp38Pu"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","tifHPKVTfV","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⪩⨒∯-13213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-56","layer":2},{"info":"compute unary expreesion, input=-56, 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=1039","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=1240, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=3740","layer":4},{"info":"compute unary expreesion, input=3740, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-44959","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-44959, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=2809","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=2067, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-21532","layer":3},{"info":"compute unary expreesion, input=-21532, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=90927, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":4,"result_base":4,"text":"((⩦⊞(⪩⨒∯102130⨱∎))⊊)∕⩚(⪩⨒∯100033↳∿⪆⪩⨒∯103120)⨂≜(⩷⪩⨒∯322130)⪭≯(∤⪩⨒∯223321⇤⪩⨒∯200103)=⪩⨒∯-13213","reverse_text":"⪩⨒∯-13213=((⩦⊞(⪩⨒∯102130⨱∎))⊊)∕⩚(⪩⨒∯100033↳∿⪆⪩⨒∯103120)⨂≜(⩷⪩⨒∯322130)⪭≯(∤⪩⨒∯223321⇤⪩⨒∯200103)","cot":[{"info":"⪩⨒∯102130⨱∎=⪩⨒∯0","layer":3},{"info":"⩦⊞⪩⨒∯0=⪩⨒∯-320","layer":2},{"info":"⪩⨒∯-320⊊=⪩⨒∯112030233","layer":1},{"info":"⪩⨒∯100033↳∿⪆⪩⨒∯103120=NaN","layer":3},{"info":"⩷⪩⨒∯322130=⪩⨒∯-22332133","layer":3},{"info":"NaN⨂≜⪩⨒∯-22332133=NaN","layer":2},{"info":"⪩⨒∯223321⇤⪩⨒∯200103=⪩⨒∯-11100130","layer":3},{"info":"∤⪩⨒∯-11100130=⪩⨒∯21","layer":2},{"info":"NaN⪭≯⪩⨒∯21=NaN","layer":1},{"info":"⪩⨒∯112030233∕⩚NaN=⪩⨒∯-13213","layer":0}]}
{"id":91,"expression_no_base_symbol":"⪨⨬(($2284$∙⊟$2496$)⊝⪿⪼($1103$⫸⇳$1336$)⫲≸⪮($2315$⫩)≌$2157$⪬$2028$)","expression":"⪨⨬((⪩⨒∯203230∙⊟⪩⨒∯213000)⊝⪿⪼(⪩⨒∯101033⫸⇳⪩⨒∯110320)⫲≸⪮(⪩⨒∯210023⫩)≌⪩⨒∯201231⪬⪩⨒∯133230)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":530498,"operation_count":8,"complexity_ratio":66312.25,"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":2284,"base":4},"right_expr":{"type":"numeric_atoms","value":2496,"base":4}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1103,"base":4},"right_expr":{"type":"numeric_atoms","value":1336,"base":4}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":2315,"base":4}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":2157,"base":4},"right_expr":{"type":"numeric_atoms","value":2028,"base":4}}}}},"used_operators":["5obUd6DV38","P3lXMJvFrc","3Oe9XWJUTD","SxTAKzQCrw","gx7XJ7hdpj","lyWz822IDG","6aG7x05OhS","Ez1Nq5fNfI"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","dWAJyo7jo9","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⪩⨒∯-20032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":4},{"info":"number node, value=2496","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=2496, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=39538","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1336, 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=39538, right_input=0, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=523838","layer":2},{"info":"number node, value=2315","layer":4},{"info":"compute unary expreesion, input=2315, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=2157","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=2028, 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 = 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=523838, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=523838","layer":1},{"info":"compute unary expreesion, input=523838, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":4,"result_base":4,"text":"⪨⨬((⪩⨒∯203230∙⊟⪩⨒∯213000)⊝⪿⪼(⪩⨒∯101033⫸⇳⪩⨒∯110320)⫲≸⪮(⪩⨒∯210023⫩)≌⪩⨒∯201231⪬⪩⨒∯133230)=⪩⨒∯-20032","reverse_text":"⪩⨒∯-20032=⪨⨬((⪩⨒∯203230∙⊟⪩⨒∯213000)⊝⪿⪼(⪩⨒∯101033⫸⇳⪩⨒∯110320)⫲≸⪮(⪩⨒∯210023⫩)≌⪩⨒∯201231⪬⪩⨒∯133230)","cot":[{"info":"⪩⨒∯203230∙⊟⪩⨒∯213000=⪩⨒∯21221302","layer":3},{"info":"⪩⨒∯101033⫸⇳⪩⨒∯110320=⪩⨒∯0","layer":3},{"info":"⪩⨒∯21221302⊝⪿⪼⪩⨒∯0=⪩⨒∯1333320332","layer":2},{"info":"⪩⨒∯210023⫩=NaN","layer":3},{"info":"⪩⨒∯201231⪬⪩⨒∯133230=⪩⨒∯103102","layer":3},{"info":"NaN≌⪩⨒∯103102=NaN","layer":2},{"info":"⪩⨒∯1333320332⫲≸⪮NaN=⪩⨒∯1333320332","layer":1},{"info":"⪨⨬⪩⨒∯1333320332=⪩⨒∯-20032","layer":0}]}
{"id":92,"expression_no_base_symbol":"⫟(⇜($5329$∼$3494$))⨒($4286$⇆⨓≜)≹⇙⪍($3093$↸$3328$)","expression":"⫟(⇜(⪩⨒∯1103101∼⪩⨒∯312212))⨒(⪩⨒∯1002332⇆⨓≜)≹⇙⪍(⪩⨒∯300111↸⪩⨒∯310000)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4321,"operation_count":7,"complexity_ratio":617.2857142857143,"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":5329,"base":4},"right_expr":{"type":"numeric_atoms","value":3494,"base":4}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":4286,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3093,"base":4},"right_expr":{"type":"numeric_atoms","value":3328,"base":4}}}}},"used_operators":["z4E1FaHLuy","y75s1iXyHd","lFBm8KRb8F","DyGG3AbaNP","AHs5Up7iyr","KvvgdUaMHJ","1eCjFl0mb9"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","Uaa54Peajs","KYD54nUTWz","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=5329","layer":4},{"info":"number node, value=3494","layer":4},{"info":"compute binary expreesion, left_input=5329, right_input=3494, 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 = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=nan","layer":2},{"info":"number node, value=4286","layer":4},{"info":"compute unary expreesion, input=4286, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"number node, value=3093","layer":4},{"info":"number node, value=3328","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=3328, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3093","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3093, 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 = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"⫟(⇜(⪩⨒∯1103101∼⪩⨒∯312212))⨒(⪩⨒∯1002332⇆⨓≜)≹⇙⪍(⪩⨒∯300111↸⪩⨒∯310000)=NaN","reverse_text":"NaN=⫟(⇜(⪩⨒∯1103101∼⪩⨒∯312212))⨒(⪩⨒∯1002332⇆⨓≜)≹⇙⪍(⪩⨒∯300111↸⪩⨒∯310000)","cot":[{"info":"⪩⨒∯1103101∼⪩⨒∯312212=NaN","layer":3},{"info":"⇜NaN=NaN","layer":2},{"info":"⪩⨒∯1002332⇆⨓≜=NaN","layer":3},{"info":"⪩⨒∯300111↸⪩⨒∯310000=⪩⨒∯300111","layer":3},{"info":"NaN≹⇙⪍⪩⨒∯300111=NaN","layer":2},{"info":"NaN⨒NaN=NaN","layer":1},{"info":"⫟NaN=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"(($1254$↞⋁$5151$⊚⫡⫭)∧)⪬(($1654$⪎↠$5617$)⨸($1836$∇⊂⋱$4893$)∟)","expression":"((⪩⨒∯103212↞⋁⪩⨒∯1100133⊚⫡⫭)∧)⪬((⪩⨒∯121312⪎↠⪩⨒∯1113301)⨸(⪩⨒∯130230∇⊂⋱⪩⨒∯1030131)∟)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1113,"operation_count":8,"complexity_ratio":139.125,"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":1254,"base":4},"right_expr":{"type":"numeric_atoms","value":5151,"base":4}}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1654,"base":4},"right_expr":{"type":"numeric_atoms","value":5617,"base":4}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1836,"base":4},"right_expr":{"type":"numeric_atoms","value":4893,"base":4}}}}},"used_operators":["Ez1Nq5fNfI","z63VuFQld9","SpZWOsLKZJ","RqrPlJkxDo","hTbEZDJLEm","KmoU8R5UQR","3tVxb0NHM4","nhYeJWJD5X"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⪩⨒∯103102","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1254","layer":4},{"info":"number node, value=5151","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=5151, 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 = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"number node, value=1654","layer":4},{"info":"number node, value=5617","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=5617, 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=1836","layer":4},{"info":"number node, value=4893","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=4893, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3126","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3126, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=320","layer":2},{"info":"compute unary expreesion, input=320, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯103212↞⋁⪩⨒∯1100133⊚⫡⫭)∧)⪬((⪩⨒∯121312⪎↠⪩⨒∯1113301)⨸(⪩⨒∯130230∇⊂⋱⪩⨒∯1030131)∟)=⪩⨒∯103102","reverse_text":"⪩⨒∯103102=((⪩⨒∯103212↞⋁⪩⨒∯1100133⊚⫡⫭)∧)⪬((⪩⨒∯121312⪎↠⪩⨒∯1113301)⨸(⪩⨒∯130230∇⊂⋱⪩⨒∯1030131)∟)","cot":[{"info":"⪩⨒∯103212↞⋁⪩⨒∯1100133=NaN","layer":3},{"info":"NaN⊚⫡⫭=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⪩⨒∯121312⪎↠⪩⨒∯1113301=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯130230∇⊂⋱⪩⨒∯1030131=⪩⨒∯300312","layer":3},{"info":"⪩⨒∯2200⨸⪩⨒∯300312=⪩⨒∯11000","layer":2},{"info":"⪩⨒∯11000∟=⪩⨒∯1301","layer":1},{"info":"NaN⪬⪩⨒∯1301=⪩⨒∯103102","layer":0}]}
{"id":94,"expression_no_base_symbol":"≯((∓⪦$4566$)∣($1141$⇴∐$1130$))∋(($2899$∠↢$3701$)⫒⫫($1507$⇴$6819$))","expression":"≯((∓⪦⪩⨒∯1013112)∣(⪩⨒∯101311⇴∐⪩⨒∯101222))∋((⪩⨒∯231103∠↢⪩⨒∯321311)⫒⫫(⪩⨒∯113203⇴⪩⨒∯1222203))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":221,"operation_count":8,"complexity_ratio":27.625,"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":4566,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1141,"base":4},"right_expr":{"type":"numeric_atoms","value":1130,"base":4}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2899,"base":4},"right_expr":{"type":"numeric_atoms","value":3701,"base":4}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1507,"base":4},"right_expr":{"type":"numeric_atoms","value":6819,"base":4}}}}},"used_operators":["keWfFq85dY","ukq6epAj5P","PPChnnnBFF","D309nIvmXG","HnzytWxmAO","6Ko8hGgeMq","KbjG8mgYpV","4JB6nKBMSY"],"dependent_operators":["g55IO6H4Gj","JLbD19bQDL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4566","layer":4},{"info":"compute unary expreesion, input=4566, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=4158","layer":3},{"info":"number node, value=1141","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=1141, right_input=1130, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4158, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4158","layer":2},{"info":"number node, value=2899","layer":4},{"info":"number node, value=3701","layer":4},{"info":"compute binary expreesion, left_input=2899, right_input=3701, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-62328","layer":3},{"info":"number node, value=1507","layer":4},{"info":"number node, value=6819","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=6819, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=22294","layer":3},{"info":"compute binary expreesion, left_input=-62328, right_input=22294, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=267088","layer":2},{"info":"compute binary expreesion, left_input=4158, right_input=267088, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=553568880","layer":1},{"info":"compute unary expreesion, input=553568880, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"≯((∓⪦⪩⨒∯1013112)∣(⪩⨒∯101311⇴∐⪩⨒∯101222))∋((⪩⨒∯231103∠↢⪩⨒∯321311)⫒⫫(⪩⨒∯113203⇴⪩⨒∯1222203))=NaN","reverse_text":"NaN=≯((∓⪦⪩⨒∯1013112)∣(⪩⨒∯101311⇴∐⪩⨒∯101222))∋((⪩⨒∯231103∠↢⪩⨒∯321311)⫒⫫(⪩⨒∯113203⇴⪩⨒∯1222203))","cot":[{"info":"∓⪦⪩⨒∯1013112=⪩⨒∯1000332","layer":3},{"info":"⪩⨒∯101311⇴∐⪩⨒∯101222=NaN","layer":3},{"info":"⪩⨒∯1000332∣NaN=⪩⨒∯1000332","layer":2},{"info":"⪩⨒∯231103∠↢⪩⨒∯321311=⪩⨒∯-33031320","layer":3},{"info":"⪩⨒∯113203⇴⪩⨒∯1222203=⪩⨒∯11130112","layer":3},{"info":"⪩⨒∯-33031320⫒⫫⪩⨒∯11130112=⪩⨒∯1001031100","layer":2},{"info":"⪩⨒∯1000332∋⪩⨒∯1001031100=⪩⨒∯200333230221300","layer":1},{"info":"≯⪩⨒∯200333230221300=NaN","layer":0}]}
{"id":95,"expression_no_base_symbol":"(($3571$⫒⫫$6163$)∀⊥⇻)≠≀($1702$⊾⪯⋞$3592$)∇⊂⋱($4779$⊬⨰$4712$)⪛⫼($3402$⨼⩣$3404$⫉⨲⊜($7531$∇⊂⋱$5432$)↙(⇙⪊($7201$⊵↤)))","expression":"((⪩⨒∯313303⫒⫫⪩⨒∯1200103)∀⊥⇻)≠≀(⪩⨒∯122212⊾⪯⋞⪩⨒∯320020)∇⊂⋱(⪩⨒∯1022223⊬⨰⪩⨒∯1021220)⪛⫼(⪩⨒∯311022⨼⩣⪩⨒∯311030⫉⨲⊜(⪩⨒∯1311223∇⊂⋱⪩⨒∯1110320)↙(⇙⪊(⪩⨒∯1300201⊵↤)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":604,"operation_count":13,"complexity_ratio":46.46153846153846,"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":3571,"base":4},"right_expr":{"type":"numeric_atoms","value":6163,"base":4}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1702,"base":4},"right_expr":{"type":"numeric_atoms","value":3592,"base":4}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":4779,"base":4},"right_expr":{"type":"numeric_atoms","value":4712,"base":4}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3402,"base":4},"right_expr":{"type":"numeric_atoms","value":3404,"base":4}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":7531,"base":4},"right_expr":{"type":"numeric_atoms","value":5432,"base":4}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":7201,"base":4}}}}},"used_operators":["hyuBjUqXlG","IwW236VD4Y","k4iM1060OG","6Ko8hGgeMq","nhYeJWJD5X","HK0tfVPux8","s3Fd5m9Dh2","yyfyN0ffXY","WhqkvtTD3t","JxwMv5le6e","pB6Fcnrjim","7IPrd9c3lf"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","tmPS8pqC7x","DpFCA1CohY","eewbuw0ToL","zVYPLywUTj","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3571","layer":4},{"info":"number node, value=6163","layer":4},{"info":"compute binary expreesion, left_input=3571, right_input=6163, 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 = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":2},{"info":"number node, value=1702","layer":4},{"info":"number node, value=3592","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=3592, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6758","layer":3},{"info":"number node, value=4779","layer":4},{"info":"number node, value=4712","layer":4},{"info":"compute binary expreesion, left_input=4779, right_input=4712, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=22571","layer":3},{"info":"compute binary expreesion, left_input=6758, right_input=22571, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=12970","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12970, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":1},{"info":"number node, value=3402","layer":4},{"info":"number node, value=3404","layer":4},{"info":"compute binary expreesion, left_input=3402, right_input=3404, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=7531","layer":4},{"info":"number node, value=5432","layer":4},{"info":"compute binary expreesion, left_input=7531, right_input=5432, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=14516","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14516, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":2},{"info":"number node, value=7201","layer":4},{"info":"compute unary expreesion, input=7201, 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 = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯313303⫒⫫⪩⨒∯1200103)∀⊥⇻)≠≀(⪩⨒∯122212⊾⪯⋞⪩⨒∯320020)∇⊂⋱(⪩⨒∯1022223⊬⨰⪩⨒∯1021220)⪛⫼(⪩⨒∯311022⨼⩣⪩⨒∯311030⫉⨲⊜(⪩⨒∯1311223∇⊂⋱⪩⨒∯1110320)↙(⇙⪊(⪩⨒∯1300201⊵↤)))=NaN","reverse_text":"NaN=((⪩⨒∯313303⫒⫫⪩⨒∯1200103)∀⊥⇻)≠≀(⪩⨒∯122212⊾⪯⋞⪩⨒∯320020)∇⊂⋱(⪩⨒∯1022223⊬⨰⪩⨒∯1021220)⪛⫼(⪩⨒∯311022⨼⩣⪩⨒∯311030⫉⨲⊜(⪩⨒∯1311223∇⊂⋱⪩⨒∯1110320)↙(⇙⪊(⪩⨒∯1300201⊵↤)))","cot":[{"info":"⪩⨒∯313303⫒⫫⪩⨒∯1200103=NaN","layer":3},{"info":"NaN∀⊥⇻=NaN","layer":2},{"info":"⪩⨒∯122212⊾⪯⋞⪩⨒∯320020=⪩⨒∯1221212","layer":3},{"info":"⪩⨒∯1022223⊬⨰⪩⨒∯1021220=⪩⨒∯11200223","layer":3},{"info":"⪩⨒∯1221212∇⊂⋱⪩⨒∯11200223=⪩⨒∯3022222","layer":2},{"info":"NaN≠≀⪩⨒∯3022222=NaN","layer":1},{"info":"⪩⨒∯311022⨼⩣⪩⨒∯311030=NaN","layer":3},{"info":"⪩⨒∯1311223∇⊂⋱⪩⨒∯1110320=⪩⨒∯3202310","layer":3},{"info":"NaN⫉⨲⊜⪩⨒∯3202310=NaN","layer":2},{"info":"⪩⨒∯1300201⊵↤=⪩⨒∯1003","layer":3},{"info":"⇙⪊⪩⨒∯1003=⪩⨒∯0","layer":2},{"info":"NaN↙⪩⨒∯0=NaN","layer":1},{"info":"NaN⪛⫼NaN=NaN","layer":0}]}
{"id":96,"expression_no_base_symbol":"($4527$⪟⇏$1048$⪎↠($1164$⇉⇱⇎))⨥⫆($1165$⋥⋵⩄$8964$⪮%⊝(⨑⩽⪐$8306$))∠↢(($4946$⨝⩣∺)⨼⩣($1746$∛$3267$)⩏)","expression":"(⪩⨒∯1012233⪟⇏⪩⨒∯100120⪎↠(⪩⨒∯102030⇉⇱⇎))⨥⫆(⪩⨒∯102031⋥⋵⩄⪩⨒∯2030010⪮%⊝(⨑⩽⪐⪩⨒∯2001302))∠↢((⪩⨒∯1031102⨝⩣∺)⨼⩣(⪩⨒∯123102∛⪩⨒∯303003)⩏)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2863,"operation_count":12,"complexity_ratio":238.58333333333334,"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":4527,"base":4},"right_expr":{"type":"numeric_atoms","value":1048,"base":4}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1164,"base":4}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1165,"base":4},"right_expr":{"type":"numeric_atoms","value":8964,"base":4}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":8306,"base":4}}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":4946,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1746,"base":4},"right_expr":{"type":"numeric_atoms","value":3267,"base":4}}}}},"used_operators":["KbjG8mgYpV","yXekIHxTD4","3tVxb0NHM4","GODebY97qR","MRPaB8lBjK","IWmyXbctLI","7t3wd0Fuz7","AF7qkfDlqP","iA2gmKZ3Wj","JxwMv5le6e","ancx8kZcWl","w2537kitQq"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","z6LnFrNh4i","Tcnh7f0tEr","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DZ8iAZOCBD","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⪩⨒∯-223012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4527","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=1048, 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=1164","layer":4},{"info":"compute unary expreesion, input=1164, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-946","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-946, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=867","layer":2},{"info":"number node, value=1165","layer":4},{"info":"number node, value=8964","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=8964, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=8306","layer":4},{"info":"compute unary expreesion, input=8306, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8033","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-8033, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=542","layer":2},{"info":"compute binary expreesion, left_input=867, right_input=542, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=960","layer":1},{"info":"number node, value=4946","layer":4},{"info":"compute unary expreesion, input=4946, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-9892","layer":3},{"info":"number node, value=1746","layer":4},{"info":"number node, value=3267","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=3267, 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=-9892, right_input=-670, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=960, 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=-2758","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1012233⪟⇏⪩⨒∯100120⪎↠(⪩⨒∯102030⇉⇱⇎))⨥⫆(⪩⨒∯102031⋥⋵⩄⪩⨒∯2030010⪮%⊝(⨑⩽⪐⪩⨒∯2001302))∠↢((⪩⨒∯1031102⨝⩣∺)⨼⩣(⪩⨒∯123102∛⪩⨒∯303003)⩏)=⪩⨒∯-223012","reverse_text":"⪩⨒∯-223012=(⪩⨒∯1012233⪟⇏⪩⨒∯100120⪎↠(⪩⨒∯102030⇉⇱⇎))⨥⫆(⪩⨒∯102031⋥⋵⩄⪩⨒∯2030010⪮%⊝(⨑⩽⪐⪩⨒∯2001302))∠↢((⪩⨒∯1031102⨝⩣∺)⨼⩣(⪩⨒∯123102∛⪩⨒∯303003)⩏)","cot":[{"info":"⪩⨒∯1012233⪟⇏⪩⨒∯100120=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯102030⇉⇱⇎=⪩⨒∯-32302","layer":3},{"info":"⪩⨒∯-1⪎↠⪩⨒∯-32302=⪩⨒∯31203","layer":2},{"info":"⪩⨒∯102031⋥⋵⩄⪩⨒∯2030010=⪩⨒∯1301","layer":3},{"info":"⨑⩽⪐⪩⨒∯2001302=⪩⨒∯-1331201","layer":3},{"info":"⪩⨒∯1301⪮%⊝⪩⨒∯-1331201=⪩⨒∯20132","layer":2},{"info":"⪩⨒∯31203⨥⫆⪩⨒∯20132=⪩⨒∯33000","layer":1},{"info":"⪩⨒∯1031102⨝⩣∺=⪩⨒∯-2122210","layer":3},{"info":"⪩⨒∯123102∛⪩⨒∯303003=⪩⨒∯-22132","layer":3},{"info":"⪩⨒∯-2122210⨼⩣⪩⨒∯-22132=NaN","layer":2},{"info":"NaN⩏=⪩⨒∯0","layer":1},{"info":"⪩⨒∯33000∠↢⪩⨒∯0=⪩⨒∯-223012","layer":0}]}
{"id":97,"expression_no_base_symbol":"(($5365$⋭≵$1568$)⪒⊣⊆(⨵$4812$))⩖⊿((⫖→$2150$)⊓⋫)⋓(⨞⊢(⇜$2414$)⪪($1086$⫥∨⫟$2612$))","expression":"((⪩⨒∯1103311⋭≵⪩⨒∯120200)⪒⊣⊆(⨵⪩⨒∯1023030))⩖⊿((⫖→⪩⨒∯201212)⊓⋫)⋓(⨞⊢(⇜⪩⨒∯211232)⪪(⪩⨒∯100332⫥∨⫟⪩⨒∯220310))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3345,"operation_count":11,"complexity_ratio":304.09090909090907,"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":5365,"base":4},"right_expr":{"type":"numeric_atoms","value":1568,"base":4}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":4812,"base":4}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2150,"base":4}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":2414,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1086,"base":4},"right_expr":{"type":"numeric_atoms","value":2612,"base":4}}}}},"used_operators":["T2fj7uvVaJ","RZ5CV9rWsJ","eRqsBgTDFp","jBncVCNhdl","Tl3Y52tvF8","IqGBaFP0uj","U4ylXWHChL","xUOZtlo3hN","xD69zh8xqp","lFBm8KRb8F","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","sdazOOVcIp","W4YGzv6Whe","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5365","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=5365, right_input=1568, 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=4812","layer":4},{"info":"compute unary expreesion, input=4812, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-39705","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-39705, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=134","layer":2},{"info":"number node, value=2150","layer":4},{"info":"compute unary expreesion, input=2150, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-305","layer":2},{"info":"compute binary expreesion, left_input=134, right_input=-305, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=2524","layer":1},{"info":"number node, value=2414","layer":4},{"info":"compute unary expreesion, input=2414, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-19720","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2612","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2612, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-19720, right_input=nan, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"compute unary expreesion, input=-6206, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=6032","layer":1},{"info":"compute binary expreesion, left_input=2524, right_input=6032, 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":4,"result_base":4,"text":"((⪩⨒∯1103311⋭≵⪩⨒∯120200)⪒⊣⊆(⨵⪩⨒∯1023030))⩖⊿((⫖→⪩⨒∯201212)⊓⋫)⋓(⨞⊢(⇜⪩⨒∯211232)⪪(⪩⨒∯100332⫥∨⫟⪩⨒∯220310))=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯1103311⋭≵⪩⨒∯120200)⪒⊣⊆(⨵⪩⨒∯1023030))⩖⊿((⫖→⪩⨒∯201212)⊓⋫)⋓(⨞⊢(⇜⪩⨒∯211232)⪪(⪩⨒∯100332⫥∨⫟⪩⨒∯220310))","cot":[{"info":"⪩⨒∯1103311⋭≵⪩⨒∯120200=⪩⨒∯1003","layer":3},{"info":"⨵⪩⨒∯1023030=⪩⨒∯-21230121","layer":3},{"info":"⪩⨒∯1003⪒⊣⊆⪩⨒∯-21230121=⪩⨒∯2012","layer":2},{"info":"⫖→⪩⨒∯201212=⪩⨒∯2301","layer":3},{"info":"⪩⨒∯2301⊓⋫=⪩⨒∯-10301","layer":2},{"info":"⪩⨒∯2012⩖⊿⪩⨒∯-10301=⪩⨒∯213130","layer":1},{"info":"⇜⪩⨒∯211232=⪩⨒∯-10310020","layer":3},{"info":"⪩⨒∯100332⫥∨⫟⪩⨒∯220310=NaN","layer":3},{"info":"⪩⨒∯-10310020⪪NaN=⪩⨒∯-1200332","layer":2},{"info":"⨞⊢⪩⨒∯-1200332=⪩⨒∯1132100","layer":1},{"info":"⪩⨒∯213130⋓⪩⨒∯1132100=⪩⨒∯0","layer":0}]}
{"id":98,"expression_no_base_symbol":"((⪹$1089$)⨽∌(↪⫪⫘$1799$)⫢⨠($2236$⪛$1133$)≚⊃≕$2896$⩌⋺$5282$)⇤((≑⋹($2725$∌↝$2593$))∑⇟⊟($5871$∼$2203$⋝⋈⪟$8586$⪭$2864$))","expression":"((⪹⪩⨒∯101001)⨽∌(↪⫪⫘⪩⨒∯130013)⫢⨠(⪩⨒∯202330⪛⪩⨒∯101231)≚⊃≕⪩⨒∯231100⩌⋺⪩⨒∯1102202)⇤((≑⋹(⪩⨒∯222211∌↝⪩⨒∯220201))∑⇟⊟(⪩⨒∯1123233∼⪩⨒∯202123⋝⋈⪟⪩⨒∯2012022⪭⪩⨒∯230300))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":716,"operation_count":14,"complexity_ratio":51.142857142857146,"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":1089,"base":4}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1799,"base":4}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2236,"base":4},"right_expr":{"type":"numeric_atoms","value":1133,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2896,"base":4},"right_expr":{"type":"numeric_atoms","value":5282,"base":4}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2725,"base":4},"right_expr":{"type":"numeric_atoms","value":2593,"base":4}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5871,"base":4},"right_expr":{"type":"numeric_atoms","value":2203,"base":4}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":8586,"base":4},"right_expr":{"type":"numeric_atoms","value":2864,"base":4}}}}},"used_operators":["YSKBFp38Pu","xlXykHWxX1","9samAPKr6k","USyYr0JgAa","9dWsAM3GFt","Bmrmz2XGnR","uFcxV4UQCh","g7Hmc5v1ko","U7g4x0WXJJ","6B9nyZLogK","9Isq31Ruls","2DDjHMKMc0","DyGG3AbaNP","j9kHMeSvPp"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","tifHPKVTfV","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1089","layer":4},{"info":"compute unary expreesion, input=1089, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-909","layer":3},{"info":"number node, value=1799","layer":4},{"info":"compute unary expreesion, input=1799, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-909, right_input=20, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=2236","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=1133, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1103","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=5282","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=5282, 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=-8299","layer":3},{"info":"compute binary expreesion, left_input=1103, right_input=-8299, 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=-12352","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-12352, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=97546","layer":1},{"info":"number node, value=2725","layer":4},{"info":"number node, value=2593","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=2593, 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 = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":2},{"info":"number node, value=5871","layer":4},{"info":"number node, value=2203","layer":4},{"info":"compute binary expreesion, left_input=5871, right_input=2203, 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=8586","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=8586, right_input=2864, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-694, right_input=nan, 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=97546, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪹⪩⨒∯101001)⨽∌(↪⫪⫘⪩⨒∯130013)⫢⨠(⪩⨒∯202330⪛⪩⨒∯101231)≚⊃≕⪩⨒∯231100⩌⋺⪩⨒∯1102202)⇤((≑⋹(⪩⨒∯222211∌↝⪩⨒∯220201))∑⇟⊟(⪩⨒∯1123233∼⪩⨒∯202123⋝⋈⪟⪩⨒∯2012022⪭⪩⨒∯230300))=NaN","reverse_text":"NaN=((⪹⪩⨒∯101001)⨽∌(↪⫪⫘⪩⨒∯130013)⫢⨠(⪩⨒∯202330⪛⪩⨒∯101231)≚⊃≕⪩⨒∯231100⩌⋺⪩⨒∯1102202)⇤((≑⋹(⪩⨒∯222211∌↝⪩⨒∯220201))∑⇟⊟(⪩⨒∯1123233∼⪩⨒∯202123⋝⋈⪟⪩⨒∯2012022⪭⪩⨒∯230300))","cot":[{"info":"⪹⪩⨒∯101001=⪩⨒∯-32031","layer":3},{"info":"↪⫪⫘⪩⨒∯130013=⪩⨒∯110","layer":3},{"info":"⪩⨒∯-32031⨽∌⪩⨒∯110=⪩⨒∯0","layer":2},{"info":"⪩⨒∯202330⪛⪩⨒∯101231=⪩⨒∯101033","layer":3},{"info":"⪩⨒∯231100⩌⋺⪩⨒∯1102202=⪩⨒∯-2001223","layer":3},{"info":"⪩⨒∯101033≚⊃≕⪩⨒∯-2001223=⪩⨒∯-3001000","layer":2},{"info":"⪩⨒∯0⫢⨠⪩⨒∯-3001000=⪩⨒∯113310022","layer":1},{"info":"⪩⨒∯222211∌↝⪩⨒∯220201=⪩⨒∯0","layer":3},{"info":"≑⋹⪩⨒∯0=⪩⨒∯-22312","layer":2},{"info":"⪩⨒∯1123233∼⪩⨒∯202123=NaN","layer":3},{"info":"⪩⨒∯2012022⪭⪩⨒∯230300=⪩⨒∯11","layer":3},{"info":"NaN⋝⋈⪟⪩⨒∯11=NaN","layer":2},{"info":"⪩⨒∯-22312∑⇟⊟NaN=NaN","layer":1},{"info":"⪩⨒∯113310022⇤NaN=NaN","layer":0}]}
{"id":99,"expression_no_base_symbol":"(⩰(⇖⫷⫕$2317$)⪎↠($2084$⪚⩙≫))⫽⇹≛","expression":"(⩰(⇖⫷⫕⪩⨒∯210031)⪎↠(⪩⨒∯200210⪚⩙≫))⫽⇹≛","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":810,"operation_count":5,"complexity_ratio":162.0,"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":2317,"base":4}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":2084,"base":4}}}}},"used_operators":["NNaDxxp6OQ","WkeUrDK8WX","3tVxb0NHM4","UHmRx3INFg","4n53wtyJvv"],"dependent_operators":["KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP"],"result":"⪩⨒∯10100","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2317","layer":4},{"info":"compute unary expreesion, input=2317, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=2084","layer":4},{"info":"compute unary expreesion, input=2084, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, 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 = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1160","layer":1},{"info":"compute unary expreesion, input=-1160, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":0}],"base":4,"result_base":4,"text":"(⩰(⇖⫷⫕⪩⨒∯210031)⪎↠(⪩⨒∯200210⪚⩙≫))⫽⇹≛=⪩⨒∯10100","reverse_text":"⪩⨒∯10100=(⩰(⇖⫷⫕⪩⨒∯210031)⪎↠(⪩⨒∯200210⪚⩙≫))⫽⇹≛","cot":[{"info":"⇖⫷⫕⪩⨒∯210031=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯200210⪚⩙≫=NaN","layer":3},{"info":"⪩⨒∯230012⪎↠NaN=⪩⨒∯2200","layer":2},{"info":"⩰⪩⨒∯2200=⪩⨒∯-102020","layer":1},{"info":"⪩⨒∯-102020⫽⇹≛=⪩⨒∯10100","layer":0}]}
{"id":100,"expression_no_base_symbol":"(((⨦⪝$5434$)⨘⋶⪀)⨿(($1280$≧⫂∧$4270$)⨔⇊($5458$⊋$6181$)))≃⋄","expression":"(((⨦⪝⪩⨒∯1110322)⨘⋶⪀)⨿((⪩⨒∯110000≧⫂∧⪩⨒∯1002232)⨔⇊(⪩⨒∯1111102⊋⪩⨒∯1200211)))≃⋄","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1782,"operation_count":7,"complexity_ratio":254.57142857142858,"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":5434,"base":4}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1280,"base":4},"right_expr":{"type":"numeric_atoms","value":4270,"base":4}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5458,"base":4},"right_expr":{"type":"numeric_atoms","value":6181,"base":4}}}}},"used_operators":["aN9a90urxU","abYXlopdE0","XVKwrhznBb","SUjycxNXIR","JclMnS0uGI","Ph9nP6C5qx","W4tP9CfskL"],"dependent_operators":["uFcxV4UQCh","jLgFTUHLKL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⪩⨒∯211010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5434","layer":4},{"info":"compute unary expreesion, input=5434, 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 = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"number node, value=1280","layer":4},{"info":"number node, value=4270","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=4270, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3797","layer":3},{"info":"number node, value=5458","layer":4},{"info":"number node, value=6181","layer":4},{"info":"compute binary expreesion, left_input=5458, right_input=6181, 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=-33381936","layer":3},{"info":"compute binary expreesion, left_input=3797, right_input=-33381936, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, 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 = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=2372","layer":0}],"base":4,"result_base":4,"text":"(((⨦⪝⪩⨒∯1110322)⨘⋶⪀)⨿((⪩⨒∯110000≧⫂∧⪩⨒∯1002232)⨔⇊(⪩⨒∯1111102⊋⪩⨒∯1200211)))≃⋄=⪩⨒∯211010","reverse_text":"⪩⨒∯211010=(((⨦⪝⪩⨒∯1110322)⨘⋶⪀)⨿((⪩⨒∯110000≧⫂∧⪩⨒∯1002232)⨔⇊(⪩⨒∯1111102⊋⪩⨒∯1200211)))≃⋄","cot":[{"info":"⨦⪝⪩⨒∯1110322=⪩⨒∯-131130","layer":3},{"info":"⪩⨒∯-131130⨘⋶⪀=NaN","layer":2},{"info":"⪩⨒∯110000≧⫂∧⪩⨒∯1002232=⪩⨒∯323111","layer":3},{"info":"⪩⨒∯1111102⊋⪩⨒∯1200211=⪩⨒∯-1333111320300","layer":3},{"info":"⪩⨒∯323111⨔⇊⪩⨒∯-1333111320300=⪩⨒∯1003","layer":2},{"info":"NaN⨿⪩⨒∯1003=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯1003≃⋄=⪩⨒∯211010","layer":0}]}
{"id":101,"expression_no_base_symbol":"(⊤⊝((∥⊫$3188$)⇟⨁⪰))⪁($5308$⫸⇳$1498$)∌↝($4900$∸)⋾⨃∁$1591$⨸$1172$⊉↱≁($7090$⊋$2900$)","expression":"(⊤⊝((∥⊫⪩⨒∯301310)⇟⨁⪰))⪁(⪩⨒∯1102330⫸⇳⪩⨒∯113122)∌↝(⪩⨒∯1030210∸)⋾⨃∁⪩⨒∯120313⨸⪩⨒∯102110⊉↱≁(⪩⨒∯1232302⊋⪩⨒∯231110)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":572325491,"operation_count":11,"complexity_ratio":52029590.09090909,"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":3188,"base":4}}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5308,"base":4},"right_expr":{"type":"numeric_atoms","value":1498,"base":4}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4900,"base":4}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1591,"base":4},"right_expr":{"type":"numeric_atoms","value":1172,"base":4}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":7090,"base":4},"right_expr":{"type":"numeric_atoms","value":2900,"base":4}}}}},"used_operators":["I7sXao9hZE","rXAclfmB4M","BX1lVwlMe0","P8v4zCKN1o","212REbPD9h","9Isq31Ruls","gx7XJ7hdpj","o20kRiQErp","w2P8NbNXyL","KmoU8R5UQR","W4tP9CfskL"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","sdazOOVcIp","2DDjHMKMc0","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","tmPS8pqC7x","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3188","layer":4},{"info":"compute unary expreesion, input=3188, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4056","layer":3},{"info":"compute unary expreesion, input=4056, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-4230","layer":2},{"info":"compute unary expreesion, input=-4230, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-9758","layer":1},{"info":"number node, value=5308","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=5308, 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":"number node, value=4900","layer":4},{"info":"compute unary expreesion, input=4900, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=177, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-531","layer":2},{"info":"number node, value=1591","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1591, right_input=1172, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3182","layer":3},{"info":"number node, value=7090","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=7090, right_input=2900, 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=95389324","layer":3},{"info":"compute binary expreesion, left_input=3182, right_input=95389324, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-572305238","layer":2},{"info":"compute binary expreesion, left_input=-531, right_input=-572305238, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9758, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⊤⊝((∥⊫⪩⨒∯301310)⇟⨁⪰))⪁(⪩⨒∯1102330⫸⇳⪩⨒∯113122)∌↝(⪩⨒∯1030210∸)⋾⨃∁⪩⨒∯120313⨸⪩⨒∯102110⊉↱≁(⪩⨒∯1232302⊋⪩⨒∯231110)=NaN","reverse_text":"NaN=(⊤⊝((∥⊫⪩⨒∯301310)⇟⨁⪰))⪁(⪩⨒∯1102330⫸⇳⪩⨒∯113122)∌↝(⪩⨒∯1030210∸)⋾⨃∁⪩⨒∯120313⨸⪩⨒∯102110⊉↱≁(⪩⨒∯1232302⊋⪩⨒∯231110)","cot":[{"info":"∥⊫⪩⨒∯301310=⪩⨒∯333120","layer":3},{"info":"⪩⨒∯333120⇟⨁⪰=⪩⨒∯-1002012","layer":2},{"info":"⊤⊝⪩⨒∯-1002012=⪩⨒∯-2120132","layer":1},{"info":"⪩⨒∯1102330⫸⇳⪩⨒∯113122=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1030210∸=⪩⨒∯2301","layer":3},{"info":"⪩⨒∯0∌↝⪩⨒∯2301=⪩⨒∯-20103","layer":2},{"info":"⪩⨒∯120313⨸⪩⨒∯102110=⪩⨒∯301232","layer":3},{"info":"⪩⨒∯1232302⊋⪩⨒∯231110=⪩⨒∯11223320122030","layer":3},{"info":"⪩⨒∯301232⊉↱≁⪩⨒∯11223320122030=⪩⨒∯-202013022331112","layer":2},{"info":"⪩⨒∯-20103⋾⨃∁⪩⨒∯-202013022331112=NaN","layer":1},{"info":"⪩⨒∯-2120132⪁NaN=NaN","layer":0}]}
{"id":102,"expression_no_base_symbol":"((($1169$+$5270$)⋅⇍$4799$⋥⋵⩄$5115$)∇⊂⋱(($8694$≥⨤⩑$5078$)⇍⊗(↡$6427$)))⫞⩸⩒(($4251$⪡$3963$)⊲⩕⊾(⫟$7704$)∠⫱($2640$↹⊜$1516$∷$2288$↞⋁$8348$))","expression":"(((⪩⨒∯102101+⪩⨒∯1102112)⋅⇍⪩⨒∯1022333⋥⋵⩄⪩⨒∯1033323)∇⊂⋱((⪩⨒∯2013312≥⨤⩑⪩⨒∯1033112)⇍⊗(↡⪩⨒∯1210123)))⫞⩸⩒((⪩⨒∯1002123⪡⪩⨒∯331323)⊲⩕⊾(⫟⪩⨒∯1320120)∠⫱(⪩⨒∯221100↹⊜⪩⨒∯113230∷⪩⨒∯203300↞⋁⪩⨒∯2002130))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":382,"operation_count":15,"complexity_ratio":25.466666666666665,"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":1169,"base":4},"right_expr":{"type":"numeric_atoms","value":5270,"base":4}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4799,"base":4},"right_expr":{"type":"numeric_atoms","value":5115,"base":4}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":8694,"base":4},"right_expr":{"type":"numeric_atoms","value":5078,"base":4}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":6427,"base":4}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":4251,"base":4},"right_expr":{"type":"numeric_atoms","value":3963,"base":4}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":7704,"base":4}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2640,"base":4},"right_expr":{"type":"numeric_atoms","value":1516,"base":4}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2288,"base":4},"right_expr":{"type":"numeric_atoms","value":8348,"base":4}}}}},"used_operators":["XGcMNugi78","nhYeJWJD5X","AdZkA7nFnk","W4YGzv6Whe","7t3wd0Fuz7","5uvYHDjeKN","gJLn6v0xnP","MXaNJeIAZ3","QvoQhV0rrE","DmTXOeWf9t","oraRL2iQuh","z4E1FaHLuy","D3AQDKkPcf","9bazX3JMtO","RqrPlJkxDo"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"⪩⨒∯13220","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":4},{"info":"number node, value=5270","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=5270, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6439","layer":3},{"info":"number node, value=4799","layer":4},{"info":"number node, value=5115","layer":4},{"info":"compute binary expreesion, left_input=4799, right_input=5115, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=6439, right_input=113, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=8694","layer":4},{"info":"number node, value=5078","layer":4},{"info":"compute binary expreesion, left_input=8694, right_input=5078, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=6427","layer":4},{"info":"compute unary expreesion, input=6427, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=57843","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=57843, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-244, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=488","layer":1},{"info":"number node, value=4251","layer":4},{"info":"number node, value=3963","layer":4},{"info":"compute binary expreesion, left_input=4251, right_input=3963, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=7704","layer":4},{"info":"compute unary expreesion, input=7704, 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=-22205","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-22205, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=450918","layer":2},{"info":"number node, value=2640","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=2640, right_input=1516, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-880","layer":3},{"info":"number node, value=2288","layer":4},{"info":"number node, value=8348","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=8348, 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=-880, 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=450918, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=488, 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=488","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯102101+⪩⨒∯1102112)⋅⇍⪩⨒∯1022333⋥⋵⩄⪩⨒∯1033323)∇⊂⋱((⪩⨒∯2013312≥⨤⩑⪩⨒∯1033112)⇍⊗(↡⪩⨒∯1210123)))⫞⩸⩒((⪩⨒∯1002123⪡⪩⨒∯331323)⊲⩕⊾(⫟⪩⨒∯1320120)∠⫱(⪩⨒∯221100↹⊜⪩⨒∯113230∷⪩⨒∯203300↞⋁⪩⨒∯2002130))=⪩⨒∯13220","reverse_text":"⪩⨒∯13220=(((⪩⨒∯102101+⪩⨒∯1102112)⋅⇍⪩⨒∯1022333⋥⋵⩄⪩⨒∯1033323)∇⊂⋱((⪩⨒∯2013312≥⨤⩑⪩⨒∯1033112)⇍⊗(↡⪩⨒∯1210123)))⫞⩸⩒((⪩⨒∯1002123⪡⪩⨒∯331323)⊲⩕⊾(⫟⪩⨒∯1320120)∠⫱(⪩⨒∯221100↹⊜⪩⨒∯113230∷⪩⨒∯203300↞⋁⪩⨒∯2002130))","cot":[{"info":"⪩⨒∯102101+⪩⨒∯1102112=⪩⨒∯1210213","layer":3},{"info":"⪩⨒∯1022333⋥⋵⩄⪩⨒∯1033323=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯1210213⋅⇍⪩⨒∯1301=⪩⨒∯-112","layer":2},{"info":"⪩⨒∯2013312≥⨤⩑⪩⨒∯1033112=⪩⨒∯103102","layer":3},{"info":"↡⪩⨒∯1210123=⪩⨒∯32013303","layer":3},{"info":"⪩⨒∯103102⇍⊗⪩⨒∯32013303=⪩⨒∯-3310","layer":2},{"info":"⪩⨒∯-112∇⊂⋱⪩⨒∯-3310=⪩⨒∯13220","layer":1},{"info":"⪩⨒∯1002123⪡⪩⨒∯331323=⪩⨒∯1223","layer":3},{"info":"⫟⪩⨒∯1320120=⪩⨒∯-11122331","layer":3},{"info":"⪩⨒∯1223⊲⩕⊾⪩⨒∯-11122331=⪩⨒∯1232011212","layer":2},{"info":"⪩⨒∯221100↹⊜⪩⨒∯113230=⪩⨒∯-31300","layer":3},{"info":"⪩⨒∯203300↞⋁⪩⨒∯2002130=NaN","layer":3},{"info":"⪩⨒∯-31300∷NaN=NaN","layer":2},{"info":"⪩⨒∯1232011212∠⫱NaN=NaN","layer":1},{"info":"⪩⨒∯13220⫞⩸⩒NaN=⪩⨒∯13220","layer":0}]}
{"id":103,"expression_no_base_symbol":"($5961$⪒$1094$)⪛⫼(≤/$8723$)↙((≑⋹$2760$)⫡⨏($1493$/$1853$))⊭↱(↴⪽⋼(∐⩳⋚$4115$))∠⫱($6763$↬$2116$⨑≵⋬$2767$⪎↠$2194$)","expression":"(⪩⨒∯1131021⪒⪩⨒∯101012)⪛⫼(≤/⪩⨒∯2020103)↙((≑⋹⪩⨒∯223020)⫡⨏(⪩⨒∯113111/⪩⨒∯130331))⊭↱(↴⪽⋼(∐⩳⋚⪩⨒∯1000103))∠⫱(⪩⨒∯1221223↬⪩⨒∯201010⨑≵⋬⪩⨒∯223033⪎↠⪩⨒∯202102)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":555,"operation_count":14,"complexity_ratio":39.642857142857146,"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":5961,"base":4},"right_expr":{"type":"numeric_atoms","value":1094,"base":4}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":8723,"base":4}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":2760,"base":4}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1493,"base":4},"right_expr":{"type":"numeric_atoms","value":1853,"base":4}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":4115,"base":4}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6763,"base":4},"right_expr":{"type":"numeric_atoms","value":2116,"base":4}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2767,"base":4},"right_expr":{"type":"numeric_atoms","value":2194,"base":4}}}}},"used_operators":["COABgblf1C","yyfyN0ffXY","hyuBjUqXlG","f6k1SAg4EE","eLAdDNolq6","QMFrweE19q","6B9nyZLogK","XhwjNDsVaA","QvoQhV0rrE","5TUYCnJO6w","SL6IHkK8vl","XnXgA4xnOs","B5M0gjZbta","3tVxb0NHM4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rGHVDoGpnC","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5961","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=5961, right_input=1094, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7055","layer":3},{"info":"number node, value=8723","layer":4},{"info":"compute unary expreesion, input=8723, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-8239","layer":3},{"info":"compute binary expreesion, left_input=-7055, right_input=-8239, 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":2},{"info":"number node, value=2760","layer":4},{"info":"compute unary expreesion, input=2760, 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=1493","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=1853, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=0, 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=9033","layer":2},{"info":"compute binary expreesion, left_input=-1585, right_input=9033, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1585","layer":1},{"info":"number node, value=4115","layer":4},{"info":"compute unary expreesion, input=4115, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=602982","layer":3},{"info":"compute unary expreesion, input=602982, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=602982","layer":2},{"info":"number node, value=6763","layer":4},{"info":"number node, value=2116","layer":4},{"info":"compute binary expreesion, left_input=6763, right_input=2116, 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=2767","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=2767, right_input=2194, 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 = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=602982, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1585, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1131021⪒⪩⨒∯101012)⪛⫼(≤/⪩⨒∯2020103)↙((≑⋹⪩⨒∯223020)⫡⨏(⪩⨒∯113111/⪩⨒∯130331))⊭↱(↴⪽⋼(∐⩳⋚⪩⨒∯1000103))∠⫱(⪩⨒∯1221223↬⪩⨒∯201010⨑≵⋬⪩⨒∯223033⪎↠⪩⨒∯202102)=NaN","reverse_text":"NaN=(⪩⨒∯1131021⪒⪩⨒∯101012)⪛⫼(≤/⪩⨒∯2020103)↙((≑⋹⪩⨒∯223020)⫡⨏(⪩⨒∯113111/⪩⨒∯130331))⊭↱(↴⪽⋼(∐⩳⋚⪩⨒∯1000103))∠⫱(⪩⨒∯1221223↬⪩⨒∯201010⨑≵⋬⪩⨒∯223033⪎↠⪩⨒∯202102)","cot":[{"info":"⪩⨒∯1131021⪒⪩⨒∯101012=⪩⨒∯-1232033","layer":3},{"info":"≤/⪩⨒∯2020103=⪩⨒∯-2000233","layer":3},{"info":"⪩⨒∯-1232033⪛⫼⪩⨒∯-2000233=⪩⨒∯-120301","layer":2},{"info":"≑⋹⪩⨒∯223020=⪩⨒∯121302","layer":3},{"info":"⪩⨒∯113111/⪩⨒∯130331=⪩⨒∯0","layer":3},{"info":"⪩⨒∯121302⫡⨏⪩⨒∯0=⪩⨒∯2031021","layer":2},{"info":"⪩⨒∯-120301↙⪩⨒∯2031021=⪩⨒∯-120301","layer":1},{"info":"∐⩳⋚⪩⨒∯1000103=⪩⨒∯2103031212","layer":3},{"info":"↴⪽⋼⪩⨒∯2103031212=⪩⨒∯2103031212","layer":2},{"info":"⪩⨒∯1221223↬⪩⨒∯201010=NaN","layer":3},{"info":"⪩⨒∯223033⪎↠⪩⨒∯202102=⪩⨒∯2200","layer":3},{"info":"NaN⨑≵⋬⪩⨒∯2200=NaN","layer":2},{"info":"⪩⨒∯2103031212∠⫱NaN=NaN","layer":1},{"info":"⪩⨒∯-120301⊭↱NaN=NaN","layer":0}]}
{"id":104,"expression_no_base_symbol":"(⊲⪭($5129$≳⇉$3051$))≭($4819$⪍↜⋙$6624$⨳⩥⨓($1914$⩹$2956$))≋⫹","expression":"(⊲⪭(⪩⨒∯1100021≳⇉⪩⨒∯233223))≭(⪩⨒∯1023103⪍↜⋙⪩⨒∯1213200⨳⩥⨓(⪩⨒∯131322⩹⪩⨒∯232030))≋⫹","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":88900709,"operation_count":7,"complexity_ratio":12700101.285714285,"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":5129,"base":4},"right_expr":{"type":"numeric_atoms","value":3051,"base":4}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":4819,"base":4},"right_expr":{"type":"numeric_atoms","value":6624,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1914,"base":4},"right_expr":{"type":"numeric_atoms","value":2956,"base":4}}}}},"used_operators":["N41Kp7NANJ","rxpJgHHUmx","k7HXdKtiEU","V0kx6qeWkN","nCS4ZIUYfx","L05ObWFQCd","2Wsdkap16l"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","i8ToyICDmI","xUOZtlo3hN","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5129","layer":4},{"info":"number node, value=3051","layer":4},{"info":"compute binary expreesion, left_input=5129, right_input=3051, 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 = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":2},{"info":"number node, value=4819","layer":4},{"info":"number node, value=6624","layer":4},{"info":"compute binary expreesion, left_input=4819, right_input=6624, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-38126","layer":3},{"info":"number node, value=1914","layer":4},{"info":"number node, value=2956","layer":4},{"info":"compute binary expreesion, left_input=1914, right_input=2956, 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=2954","layer":3},{"info":"compute binary expreesion, left_input=-38126, right_input=2954, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=41080","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=41080, 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 = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⊲⪭(⪩⨒∯1100021≳⇉⪩⨒∯233223))≭(⪩⨒∯1023103⪍↜⋙⪩⨒∯1213200⨳⩥⨓(⪩⨒∯131322⩹⪩⨒∯232030))≋⫹=NaN","reverse_text":"NaN=(⊲⪭(⪩⨒∯1100021≳⇉⪩⨒∯233223))≭(⪩⨒∯1023103⪍↜⋙⪩⨒∯1213200⨳⩥⨓(⪩⨒∯131322⩹⪩⨒∯232030))≋⫹","cot":[{"info":"⪩⨒∯1100021≳⇉⪩⨒∯233223=NaN","layer":3},{"info":"⊲⪭NaN=NaN","layer":2},{"info":"⪩⨒∯1023103⪍↜⋙⪩⨒∯1213200=⪩⨒∯-21103232","layer":3},{"info":"⪩⨒∯131322⩹⪩⨒∯232030=⪩⨒∯232022","layer":3},{"info":"⪩⨒∯-21103232⨳⩥⨓⪩⨒∯232022=⪩⨒∯22001320","layer":2},{"info":"NaN≭⪩⨒∯22001320=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":105,"expression_no_base_symbol":"↽≂((-(↩$2550$))⇗⋫)","expression":"↽≂((-(↩⪩⨒∯213312))⇗⋫)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":21,"operation_count":4,"complexity_ratio":5.25,"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":2550,"base":4}}}}},"used_operators":["u6S6b8DprG","hpqmaQFPrd","t8gj7n24qd","jLgFTUHLKL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rxpJgHHUmx","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2550","layer":4},{"info":"compute unary expreesion, input=2550, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-17620","layer":3},{"info":"compute unary expreesion, input=-17620, op_id = t8gj7n24qd, unary_op_definition = 'None', output=17620","layer":2},{"info":"compute unary expreesion, input=17620, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"↽≂((-(↩⪩⨒∯213312))⇗⋫)=NaN","reverse_text":"NaN=↽≂((-(↩⪩⨒∯213312))⇗⋫)","cot":[{"info":"↩⪩⨒∯213312=⪩⨒∯-10103110","layer":3},{"info":"-⪩⨒∯-10103110=⪩⨒∯10103110","layer":2},{"info":"⪩⨒∯10103110⇗⋫=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"⇖⫷⫕(($6950$⫢⨠$4105$)↳∿⪆$2018$∳⫺$1001$)⪟⇏($3199$≁↽≥$4023$↳≱($1226$⩵∡$1039$))","expression":"⇖⫷⫕((⪩⨒∯1230212⫢⨠⪩⨒∯1000021)↳∿⪆⪩⨒∯133202∳⫺⪩⨒∯33221)⪟⇏(⪩⨒∯301333≁↽≥⪩⨒∯332313↳≱(⪩⨒∯103022⩵∡⪩⨒∯100033))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3347,"operation_count":8,"complexity_ratio":418.375,"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":6950,"base":4},"right_expr":{"type":"numeric_atoms","value":4105,"base":4}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":2018,"base":4},"right_expr":{"type":"numeric_atoms","value":1001,"base":4}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3199,"base":4},"right_expr":{"type":"numeric_atoms","value":4023,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1226,"base":4},"right_expr":{"type":"numeric_atoms","value":1039,"base":4}}}}},"used_operators":["UHmRx3INFg","GODebY97qR","Cw4SuJJGHO","xlXykHWxX1","AzXXKTstlj","JwTKLfZU96","ncHt1X6cMc","Y7wcNGrDQJ"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⪩⨒∯230012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6950","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=6950, right_input=4105, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2018","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=1001, 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=160, right_input=-260, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=3199","layer":4},{"info":"number node, value=4023","layer":4},{"info":"compute binary expreesion, left_input=3199, right_input=4023, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=57917","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=1039, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1534","layer":3},{"info":"compute binary expreesion, left_input=57917, right_input=-1534, 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 = 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 = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":4,"result_base":4,"text":"⇖⫷⫕((⪩⨒∯1230212⫢⨠⪩⨒∯1000021)↳∿⪆⪩⨒∯133202∳⫺⪩⨒∯33221)⪟⇏(⪩⨒∯301333≁↽≥⪩⨒∯332313↳≱(⪩⨒∯103022⩵∡⪩⨒∯100033))=⪩⨒∯230012","reverse_text":"⪩⨒∯230012=⇖⫷⫕((⪩⨒∯1230212⫢⨠⪩⨒∯1000021)↳∿⪆⪩⨒∯133202∳⫺⪩⨒∯33221)⪟⇏(⪩⨒∯301333≁↽≥⪩⨒∯332313↳≱(⪩⨒∯103022⩵∡⪩⨒∯100033))","cot":[{"info":"⪩⨒∯1230212⫢⨠⪩⨒∯1000021=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯133202∳⫺⪩⨒∯33221=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯2200↳∿⪆⪩⨒∯-10010=NaN","layer":2},{"info":"⪩⨒∯301333≁↽≥⪩⨒∯332313=⪩⨒∯32020331","layer":3},{"info":"⪩⨒∯103022⩵∡⪩⨒∯100033=⪩⨒∯-113332","layer":3},{"info":"⪩⨒∯32020331↳≱⪩⨒∯-113332=⪩⨒∯0","layer":2},{"info":"NaN⪟⇏⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⇖⫷⫕⪩⨒∯0=⪩⨒∯230012","layer":0}]}
{"id":107,"expression_no_base_symbol":"($2254$⋝⋈⪟$1888$)⫁⪎($2469$⨵⪆$2175$)⋣⋖($3603$⪍↜⋙$2994$⨵⪆$3510$⊱⇼⊻$1800$)⪭≯((⇉-⫰($5779$+$4237$))∲⫓(≯$6188$)⫦⪉($4153$↱$2165$))","expression":"(⪩⨒∯203032⋝⋈⪟⪩⨒∯131200)⫁⪎(⪩⨒∯212211⨵⪆⪩⨒∯201333)⋣⋖(⪩⨒∯320103⪍↜⋙⪩⨒∯232302⨵⪆⪩⨒∯312312⊱⇼⊻⪩⨒∯130020)⪭≯((⇉-⫰(⪩⨒∯1122103+⪩⨒∯1002031))∲⫓(≯⪩⨒∯1200230)⫦⪉(⪩⨒∯1000321↱⪩⨒∯201311))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":312,"operation_count":14,"complexity_ratio":22.285714285714285,"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":2254,"base":4},"right_expr":{"type":"numeric_atoms","value":1888,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2469,"base":4},"right_expr":{"type":"numeric_atoms","value":2175,"base":4}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3603,"base":4},"right_expr":{"type":"numeric_atoms","value":2994,"base":4}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3510,"base":4},"right_expr":{"type":"numeric_atoms","value":1800,"base":4}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5779,"base":4},"right_expr":{"type":"numeric_atoms","value":4237,"base":4}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":6188,"base":4}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4153,"base":4},"right_expr":{"type":"numeric_atoms","value":2165,"base":4}}}}},"used_operators":["XAx5wpdLa6","J0M6qkBnIM","xRrnTEsQ6j","2DDjHMKMc0","2DQ55sFlQl","L05ObWFQCd","FyVja0WsTP","i8ToyICDmI","IGFM8TAlm9","W4YGzv6Whe","wscyQdcy20","keWfFq85dY","SR5kFfdi6N"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","g55IO6H4Gj","JLbD19bQDL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2254","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=2254, right_input=1888, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2254","layer":3},{"info":"number node, value=2469","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=2469, right_input=2175, 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=2254, right_input=160, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=2094","layer":2},{"info":"number node, value=3603","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=2994, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=1218","layer":3},{"info":"number node, value=3510","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=1800, 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=1218, right_input=434, 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=2094, right_input=160, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2094","layer":1},{"info":"number node, value=5779","layer":4},{"info":"number node, value=4237","layer":4},{"info":"compute binary expreesion, left_input=5779, right_input=4237, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10016","layer":3},{"info":"compute unary expreesion, input=10016, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"number node, value=6188","layer":4},{"info":"compute unary expreesion, input=6188, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4153","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=4153, right_input=2165, 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=-5973","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5973, 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=20, right_input=4900, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=2094, right_input=0, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯203032⋝⋈⪟⪩⨒∯131200)⫁⪎(⪩⨒∯212211⨵⪆⪩⨒∯201333)⋣⋖(⪩⨒∯320103⪍↜⋙⪩⨒∯232302⨵⪆⪩⨒∯312312⊱⇼⊻⪩⨒∯130020)⪭≯((⇉-⫰(⪩⨒∯1122103+⪩⨒∯1002031))∲⫓(≯⪩⨒∯1200230)⫦⪉(⪩⨒∯1000321↱⪩⨒∯201311))=NaN","reverse_text":"NaN=(⪩⨒∯203032⋝⋈⪟⪩⨒∯131200)⫁⪎(⪩⨒∯212211⨵⪆⪩⨒∯201333)⋣⋖(⪩⨒∯320103⪍↜⋙⪩⨒∯232302⨵⪆⪩⨒∯312312⊱⇼⊻⪩⨒∯130020)⪭≯((⇉-⫰(⪩⨒∯1122103+⪩⨒∯1002031))∲⫓(≯⪩⨒∯1200230)⫦⪉(⪩⨒∯1000321↱⪩⨒∯201311))","cot":[{"info":"⪩⨒∯203032⋝⋈⪟⪩⨒∯131200=⪩⨒∯203032","layer":3},{"info":"⪩⨒∯212211⨵⪆⪩⨒∯201333=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯203032⫁⪎⪩⨒∯2200=⪩⨒∯200232","layer":2},{"info":"⪩⨒∯320103⪍↜⋙⪩⨒∯232302=⪩⨒∯103002","layer":3},{"info":"⪩⨒∯312312⊱⇼⊻⪩⨒∯130020=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯103002⨵⪆⪩⨒∯12302=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯200232⋣⋖⪩⨒∯2200=⪩⨒∯200232","layer":1},{"info":"⪩⨒∯1122103+⪩⨒∯1002031=⪩⨒∯2130200","layer":3},{"info":"⇉-⫰⪩⨒∯2130200=⪩⨒∯110","layer":2},{"info":"≯⪩⨒∯1200230=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1000321↱⪩⨒∯201311=⪩⨒∯-1131111","layer":3},{"info":"⪩⨒∯0⫦⪉⪩⨒∯-1131111=⪩⨒∯1030210","layer":2},{"info":"⪩⨒∯110∲⫓⪩⨒∯1030210=⪩⨒∯0","layer":1},{"info":"⪩⨒∯200232⪭≯⪩⨒∯0=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"(($6160$⫥∨⫟$3531$)⇍⊗($8012$⨵⪆$3423$))≦↸($6788$∑⇟⊟$8628$⨽$5697$⫰⋱$1100$)↱(⇺⋃$7558$)⊢($1977$⩵∡$3497$)⪕$1210$⇻⋧≁$5390$⨼⩣(⪓⩚$2544$)","expression":"((⪩⨒∯1200100⫥∨⫟⪩⨒∯313023)⇍⊗(⪩⨒∯1331030⨵⪆⪩⨒∯311133))≦↸(⪩⨒∯1222010∑⇟⊟⪩⨒∯2012310⨽⪩⨒∯1121001⫰⋱⪩⨒∯101030)↱(⇺⋃⪩⨒∯1312012)⊢(⪩⨒∯132321⩵∡⪩⨒∯312221)⪕⪩⨒∯102322⇻⋧≁⪩⨒∯1110032⨼⩣(⪓⩚⪩⨒∯213300)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":5758,"operation_count":15,"complexity_ratio":383.8666666666667,"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":6160,"base":4},"right_expr":{"type":"numeric_atoms","value":3531,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8012,"base":4},"right_expr":{"type":"numeric_atoms","value":3423,"base":4}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6788,"base":4},"right_expr":{"type":"numeric_atoms","value":8628,"base":4}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":5697,"base":4},"right_expr":{"type":"numeric_atoms","value":1100,"base":4}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":7558,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1977,"base":4},"right_expr":{"type":"numeric_atoms","value":3497,"base":4}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1210,"base":4},"right_expr":{"type":"numeric_atoms","value":5390,"base":4}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":2544,"base":4}}}}},"used_operators":["SR5kFfdi6N","RygbFNSyEJ","5uvYHDjeKN","KYD54nUTWz","2DQ55sFlQl","8HhzD0ZcuI","U7g4x0WXJJ","6o9Blt3TJ6","umQnsF7QlU","5twsqlHp2o","E5v5B3UAjG","Y7wcNGrDQJ","JxwMv5le6e","jCPkEVoL5K","u0R0Locfp2"],"dependent_operators":["k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","NTOWxs364D","glklzrTFfD","tifHPKVTfV","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ"],"result":"⪩⨒∯-203223","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6160","layer":4},{"info":"number node, value=3531","layer":4},{"info":"compute binary expreesion, left_input=6160, right_input=3531, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=8012","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=8012, right_input=3423, 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=nan, right_input=160, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=6788","layer":4},{"info":"number node, value=8628","layer":4},{"info":"compute binary expreesion, left_input=6788, right_input=8628, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5697","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=5697, right_input=1100, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5664","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5664, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=nan, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":1},{"info":"number node, value=7558","layer":4},{"info":"compute unary expreesion, input=7558, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1977","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=3497, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-578","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-578, 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":"number node, value=1210","layer":4},{"info":"number node, value=5390","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=5390, 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=2544","layer":4},{"info":"compute unary expreesion, input=2544, 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=-447, right_input=426, 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 = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=935, 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=-2283","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1200100⫥∨⫟⪩⨒∯313023)⇍⊗(⪩⨒∯1331030⨵⪆⪩⨒∯311133))≦↸(⪩⨒∯1222010∑⇟⊟⪩⨒∯2012310⨽⪩⨒∯1121001⫰⋱⪩⨒∯101030)↱(⇺⋃⪩⨒∯1312012)⊢(⪩⨒∯132321⩵∡⪩⨒∯312221)⪕⪩⨒∯102322⇻⋧≁⪩⨒∯1110032⨼⩣(⪓⩚⪩⨒∯213300)=⪩⨒∯-203223","reverse_text":"⪩⨒∯-203223=((⪩⨒∯1200100⫥∨⫟⪩⨒∯313023)⇍⊗(⪩⨒∯1331030⨵⪆⪩⨒∯311133))≦↸(⪩⨒∯1222010∑⇟⊟⪩⨒∯2012310⨽⪩⨒∯1121001⫰⋱⪩⨒∯101030)↱(⇺⋃⪩⨒∯1312012)⊢(⪩⨒∯132321⩵∡⪩⨒∯312221)⪕⪩⨒∯102322⇻⋧≁⪩⨒∯1110032⨼⩣(⪓⩚⪩⨒∯213300)","cot":[{"info":"⪩⨒∯1200100⫥∨⫟⪩⨒∯313023=NaN","layer":3},{"info":"⪩⨒∯1331030⨵⪆⪩⨒∯311133=⪩⨒∯2200","layer":3},{"info":"NaN⇍⊗⪩⨒∯2200=⪩⨒∯-3310","layer":2},{"info":"⪩⨒∯1222010∑⇟⊟⪩⨒∯2012310=NaN","layer":3},{"info":"⪩⨒∯1121001⫰⋱⪩⨒∯101030=⪩⨒∯-1120200","layer":3},{"info":"NaN⨽⪩⨒∯-1120200=NaN","layer":2},{"info":"⪩⨒∯-3310≦↸NaN=NaN","layer":1},{"info":"⇺⋃⪩⨒∯1312012=NaN","layer":3},{"info":"⪩⨒∯132321⩵∡⪩⨒∯312221=⪩⨒∯-21002","layer":3},{"info":"NaN⊢⪩⨒∯-21002=NaN","layer":2},{"info":"⪩⨒∯102322⇻⋧≁⪩⨒∯1110032=⪩⨒∯-12333","layer":3},{"info":"⪓⩚⪩⨒∯213300=⪩⨒∯12222","layer":3},{"info":"⪩⨒∯-12333⨼⩣⪩⨒∯12222=NaN","layer":2},{"info":"NaN⪕NaN=⪩⨒∯32213","layer":1},{"info":"NaN↱⪩⨒∯32213=⪩⨒∯-203223","layer":0}]}
{"id":109,"expression_no_base_symbol":"(($8577$⨐$2206$⊱⇼⊻($7339$⩹$4950$))∘($1582$⨜⨶$1203$≀⫉($1507$⇪⋭)))⫯⪬∳((⊲⪭$4273$)⪡(⪛⨧$3599$))⫞⩸⩒(($4921$⩺⪪$1126$)∠↢$7653$≁↽≥$5298$)","expression":"((⪩⨒∯2012001⨐⪩⨒∯202132⊱⇼⊻(⪩⨒∯1302223⩹⪩⨒∯1031112))∘(⪩⨒∯120232⨜⨶⪩⨒∯102303≀⫉(⪩⨒∯113203⇪⋭)))⫯⪬∳((⊲⪭⪩⨒∯1002301)⪡(⪛⨧⪩⨒∯320033))⫞⩸⩒((⪩⨒∯1030321⩺⪪⪩⨒∯101212)∠↢⪩⨒∯1313211≁↽≥⪩⨒∯1102302)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":408,"operation_count":15,"complexity_ratio":27.2,"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":8577,"base":4},"right_expr":{"type":"numeric_atoms","value":2206,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":7339,"base":4},"right_expr":{"type":"numeric_atoms","value":4950,"base":4}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1582,"base":4},"right_expr":{"type":"numeric_atoms","value":1203,"base":4}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1507,"base":4}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":4273,"base":4}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3599,"base":4}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":4921,"base":4},"right_expr":{"type":"numeric_atoms","value":1126,"base":4}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":7653,"base":4},"right_expr":{"type":"numeric_atoms","value":5298,"base":4}}}}},"used_operators":["d7ASUq0ydm","Z5m6OM72h2","FyVja0WsTP","Noe24qw2ks","2Wsdkap16l","oZj3VtZNQx","HiPekx5b7W","Z8Yg6dlDSp","XGcMNugi78","oraRL2iQuh","k7HXdKtiEU","6NJAcO2OWT","KbjG8mgYpV","uvdQJvN4PV","ncHt1X6cMc"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","i8ToyICDmI","xUOZtlo3hN","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","oWn0xqSxBt","3Oe9XWJUTD"],"result":"⪩⨒∯2211213203","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8577","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=8577, right_input=2206, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-17154","layer":3},{"info":"number node, value=7339","layer":4},{"info":"number node, value=4950","layer":4},{"info":"compute binary expreesion, left_input=7339, right_input=4950, 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=4948","layer":3},{"info":"compute binary expreesion, left_input=-17154, right_input=4948, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=68820","layer":2},{"info":"number node, value=1582","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=1203, 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=-2150","layer":3},{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2150, right_input=nan, 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=68820, right_input=2822, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=137640","layer":1},{"info":"number node, value=4273","layer":4},{"info":"compute unary expreesion, input=4273, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4447","layer":3},{"info":"number node, value=3599","layer":4},{"info":"compute unary expreesion, input=3599, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=8599","layer":3},{"info":"compute binary expreesion, left_input=-4447, right_input=8599, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=9862","layer":2},{"info":"number node, value=4921","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=4921, right_input=1126, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-61618","layer":3},{"info":"number node, value=7653","layer":4},{"info":"number node, value=5298","layer":4},{"info":"compute binary expreesion, left_input=7653, right_input=5298, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=98737","layer":3},{"info":"compute binary expreesion, left_input=-61618, right_input=98737, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-1134764","layer":2},{"info":"compute binary expreesion, left_input=9862, right_input=-1134764, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=9862","layer":1},{"info":"compute binary expreesion, left_input=137640, right_input=9862, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=678371","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯2012001⨐⪩⨒∯202132⊱⇼⊻(⪩⨒∯1302223⩹⪩⨒∯1031112))∘(⪩⨒∯120232⨜⨶⪩⨒∯102303≀⫉(⪩⨒∯113203⇪⋭)))⫯⪬∳((⊲⪭⪩⨒∯1002301)⪡(⪛⨧⪩⨒∯320033))⫞⩸⩒((⪩⨒∯1030321⩺⪪⪩⨒∯101212)∠↢⪩⨒∯1313211≁↽≥⪩⨒∯1102302)=⪩⨒∯2211213203","reverse_text":"⪩⨒∯2211213203=((⪩⨒∯2012001⨐⪩⨒∯202132⊱⇼⊻(⪩⨒∯1302223⩹⪩⨒∯1031112))∘(⪩⨒∯120232⨜⨶⪩⨒∯102303≀⫉(⪩⨒∯113203⇪⋭)))⫯⪬∳((⊲⪭⪩⨒∯1002301)⪡(⪛⨧⪩⨒∯320033))⫞⩸⩒((⪩⨒∯1030321⩺⪪⪩⨒∯101212)∠↢⪩⨒∯1313211≁↽≥⪩⨒∯1102302)","cot":[{"info":"⪩⨒∯2012001⨐⪩⨒∯202132=⪩⨒∯-10030002","layer":3},{"info":"⪩⨒∯1302223⩹⪩⨒∯1031112=⪩⨒∯1031110","layer":3},{"info":"⪩⨒∯-10030002⊱⇼⊻⪩⨒∯1031110=⪩⨒∯100303110","layer":2},{"info":"⪩⨒∯120232⨜⨶⪩⨒∯102303=⪩⨒∯-201212","layer":3},{"info":"⪩⨒∯113203⇪⋭=NaN","layer":3},{"info":"⪩⨒∯-201212≀⫉NaN=⪩⨒∯230012","layer":2},{"info":"⪩⨒∯100303110∘⪩⨒∯230012=⪩⨒∯201212220","layer":1},{"info":"⊲⪭⪩⨒∯1002301=⪩⨒∯-1011133","layer":3},{"info":"⪛⨧⪩⨒∯320033=⪩⨒∯2012113","layer":3},{"info":"⪩⨒∯-1011133⪡⪩⨒∯2012113=⪩⨒∯2122012","layer":2},{"info":"⪩⨒∯1030321⩺⪪⪩⨒∯101212=⪩⨒∯-33002302","layer":3},{"info":"⪩⨒∯1313211≁↽≥⪩⨒∯1102302=⪩⨒∯120012301","layer":3},{"info":"⪩⨒∯-33002302∠↢⪩⨒∯120012301=⪩⨒∯-10111002230","layer":2},{"info":"⪩⨒∯2122012⫞⩸⩒⪩⨒∯-10111002230=⪩⨒∯2122012","layer":1},{"info":"⪩⨒∯201212220⫯⪬∳⪩⨒∯2122012=⪩⨒∯2211213203","layer":0}]}
{"id":110,"expression_no_base_symbol":"((≀↧⇸$4187$)⇮⋭$3122$⫁⪎$3309$⪁((⩎⋉$1476$)⇉⇱⇎))⨘","expression":"((≀↧⇸⪩⨒∯1001123)⇮⋭⪩⨒∯300302⫁⪎⪩⨒∯303231⪁((⩎⋉⪩⨒∯113010)⇉⇱⇎))⨘","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41840317,"operation_count":7,"complexity_ratio":5977188.142857143,"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":4187,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3122,"base":4},"right_expr":{"type":"numeric_atoms","value":3309,"base":4}}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1476,"base":4}}}}},"used_operators":["ljcfZBUpm8","I7sXao9hZE","vkpjKywKVM","ljTHtUsqzn","xRrnTEsQ6j","MRPaB8lBjK","FlXk3pOYe8"],"dependent_operators":["40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","XPYlsWDdGa","23Mk6UjR3U","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4187","layer":4},{"info":"compute unary expreesion, input=4187, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=8374","layer":3},{"info":"number node, value=3122","layer":4},{"info":"number node, value=3309","layer":4},{"info":"compute binary expreesion, left_input=3122, right_input=3309, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-187","layer":3},{"info":"compute binary expreesion, left_input=8374, right_input=-187, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=1476","layer":4},{"info":"compute unary expreesion, input=1476, 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 = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-1432","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-1432, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((≀↧⇸⪩⨒∯1001123)⇮⋭⪩⨒∯300302⫁⪎⪩⨒∯303231⪁((⩎⋉⪩⨒∯113010)⇉⇱⇎))⨘=NaN","reverse_text":"NaN=((≀↧⇸⪩⨒∯1001123)⇮⋭⪩⨒∯300302⫁⪎⪩⨒∯303231⪁((⩎⋉⪩⨒∯113010)⇉⇱⇎))⨘","cot":[{"info":"≀↧⇸⪩⨒∯1001123=⪩⨒∯2002312","layer":3},{"info":"⪩⨒∯300302⫁⪎⪩⨒∯303231=⪩⨒∯-2323","layer":3},{"info":"⪩⨒∯2002312⇮⋭⪩⨒∯-2323=⪩⨒∯1003","layer":2},{"info":"⩎⋉⪩⨒∯113010=⪩⨒∯121302","layer":3},{"info":"⪩⨒∯121302⇉⇱⇎=⪩⨒∯-112120","layer":2},{"info":"⪩⨒∯1003⪁⪩⨒∯-112120=NaN","layer":1},{"info":"NaN⨘=NaN","layer":0}]}
{"id":111,"expression_no_base_symbol":"↽≂(↔(($1120$∑⇟⊟$1202$)⪗))","expression":"↽≂(↔((⪩⨒∯101200∑⇟⊟⪩⨒∯102302)⪗))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":27,"operation_count":4,"complexity_ratio":6.75,"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":1120,"base":4},"right_expr":{"type":"numeric_atoms","value":1202,"base":4}}}}},"used_operators":["u6S6b8DprG","ruOEQAzv1W","VEQNXA0ZBg","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪩⨒∯10030","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1120","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=1202, 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 = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=268","layer":0}],"base":4,"result_base":4,"text":"↽≂(↔((⪩⨒∯101200∑⇟⊟⪩⨒∯102302)⪗))=⪩⨒∯10030","reverse_text":"⪩⨒∯10030=↽≂(↔((⪩⨒∯101200∑⇟⊟⪩⨒∯102302)⪗))","cot":[{"info":"⪩⨒∯101200∑⇟⊟⪩⨒∯102302=NaN","layer":3},{"info":"NaN⪗=NaN","layer":2},{"info":"↔NaN=⪩⨒∯-2012","layer":1},{"info":"↽≂⪩⨒∯-2012=⪩⨒∯10030","layer":0}]}
{"id":112,"expression_no_base_symbol":"(∂$1006$)⩖⊿($1955$∩⋅)≠≀((≋$2150$)/$3983$∴$1508$)/($4067$⪘⫢$1261$⪹)⋓($1455$⩦$7743$⨽($1233$⊦⊿))","expression":"(∂⪩⨒∯33232)⩖⊿(⪩⨒∯132203∩⋅)≠≀((≋⪩⨒∯201212)/⪩⨒∯332033∴⪩⨒∯113210)/(⪩⨒∯333203⪘⫢⪩⨒∯103231⪹)⋓(⪩⨒∯112233⩦⪩⨒∯1320333⨽(⪩⨒∯103101⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3037,"operation_count":14,"complexity_ratio":216.92857142857142,"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":1006,"base":4}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":1955,"base":4}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2150,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3983,"base":4},"right_expr":{"type":"numeric_atoms","value":1508,"base":4}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4067,"base":4},"right_expr":{"type":"numeric_atoms","value":1261,"base":4}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1455,"base":4},"right_expr":{"type":"numeric_atoms","value":7743,"base":4}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1233,"base":4}}}}},"used_operators":["XhwjNDsVaA","IwW236VD4Y","RZ5CV9rWsJ","Uaa54Peajs","2MzE1hQ0cz","61wBmkZwlr","hrf7POJlIJ","T2fj7uvVaJ","B3sABdIn96","oacrs7FA3X","8HhzD0ZcuI","0kmYd0q39Y","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Qy55tPpLXF","7j4O788W3g","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, 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=1955","layer":4},{"info":"compute unary expreesion, input=1955, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-1834","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1834, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"number node, value=2150","layer":4},{"info":"compute unary expreesion, input=2150, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2150","layer":3},{"info":"number node, value=3983","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=1508, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9614","layer":3},{"info":"compute binary expreesion, left_input=2150, right_input=9614, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":1},{"info":"number node, value=4067","layer":4},{"info":"number node, value=1261","layer":4},{"info":"compute binary expreesion, left_input=4067, right_input=1261, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8010","layer":3},{"info":"compute unary expreesion, input=8010, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=20512","layer":2},{"info":"number node, value=1455","layer":4},{"info":"number node, value=7743","layer":4},{"info":"compute binary expreesion, left_input=1455, right_input=7743, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2910","layer":3},{"info":"number node, value=1233","layer":4},{"info":"compute unary expreesion, input=1233, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3778","layer":3},{"info":"compute binary expreesion, left_input=2910, right_input=-3778, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25391652","layer":2},{"info":"compute binary expreesion, left_input=20512, right_input=-25391652, 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(∂⪩⨒∯33232)⩖⊿(⪩⨒∯132203∩⋅)≠≀((≋⪩⨒∯201212)/⪩⨒∯332033∴⪩⨒∯113210)/(⪩⨒∯333203⪘⫢⪩⨒∯103231⪹)⋓(⪩⨒∯112233⩦⪩⨒∯1320333⨽(⪩⨒∯103101⊦⊿))=NaN","reverse_text":"NaN=(∂⪩⨒∯33232)⩖⊿(⪩⨒∯132203∩⋅)≠≀((≋⪩⨒∯201212)/⪩⨒∯332033∴⪩⨒∯113210)/(⪩⨒∯333203⪘⫢⪩⨒∯103231⪹)⋓(⪩⨒∯112233⩦⪩⨒∯1320333⨽(⪩⨒∯103101⊦⊿))","cot":[{"info":"∂⪩⨒∯33232=NaN","layer":3},{"info":"⪩⨒∯132203∩⋅=⪩⨒∯-130222","layer":3},{"info":"NaN⩖⊿⪩⨒∯-130222=NaN","layer":2},{"info":"≋⪩⨒∯201212=⪩⨒∯201212","layer":3},{"info":"⪩⨒∯332033∴⪩⨒∯113210=⪩⨒∯2112032","layer":3},{"info":"⪩⨒∯201212/⪩⨒∯2112032=⪩⨒∯0","layer":2},{"info":"NaN≠≀⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯333203⪘⫢⪩⨒∯103231=⪩⨒∯1331022","layer":3},{"info":"⪩⨒∯1331022⪹=⪩⨒∯11000200","layer":2},{"info":"⪩⨒∯112233⩦⪩⨒∯1320333=⪩⨒∯231132","layer":3},{"info":"⪩⨒∯103101⊦⊿=⪩⨒∯-323002","layer":3},{"info":"⪩⨒∯231132⨽⪩⨒∯-323002=⪩⨒∯-1200313020210","layer":2},{"info":"⪩⨒∯11000200⋓⪩⨒∯-1200313020210=⪩⨒∯0","layer":1},{"info":"NaN/⪩⨒∯0=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"⩷(($5203$⩷∴$1376$)≀⫉$6298$⫁⪎$1900$)⨸(($3819$⨥⫆$1064$)⨜⨶(⨴⫝$1380$))","expression":"⩷((⪩⨒∯1101103⩷∴⪩⨒∯111200)≀⫉⪩⨒∯1202122⫁⪎⪩⨒∯131230)⨸((⪩⨒∯323223⨥⫆⪩⨒∯100220)⨜⨶(⨴⫝⪩⨒∯111210))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4986,"operation_count":8,"complexity_ratio":623.25,"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":5203,"base":4},"right_expr":{"type":"numeric_atoms","value":1376,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":6298,"base":4},"right_expr":{"type":"numeric_atoms","value":1900,"base":4}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3819,"base":4},"right_expr":{"type":"numeric_atoms","value":1064,"base":4}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":1380,"base":4}}}}},"used_operators":["1h0rLqGiFr","KmoU8R5UQR","oZj3VtZNQx","9FxExcQeMw","xRrnTEsQ6j","HiPekx5b7W","yXekIHxTD4","SVb2v531z1"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"⪩⨒∯-100203133","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5203","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=5203, right_input=1376, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7622","layer":3},{"info":"number node, value=6298","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=6298, right_input=1900, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4398","layer":3},{"info":"compute binary expreesion, left_input=7622, right_input=4398, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":2},{"info":"number node, value=3819","layer":4},{"info":"number node, value=1064","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=1064, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2004","layer":3},{"info":"number node, value=1380","layer":4},{"info":"compute unary expreesion, input=1380, 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 binary expreesion, left_input=2004, right_input=2828198, 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=-5656140","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=-5656140, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5644","layer":1},{"info":"compute unary expreesion, input=5644, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-67807","layer":0}],"base":4,"result_base":4,"text":"⩷((⪩⨒∯1101103⩷∴⪩⨒∯111200)≀⫉⪩⨒∯1202122⫁⪎⪩⨒∯131230)⨸((⪩⨒∯323223⨥⫆⪩⨒∯100220)⨜⨶(⨴⫝⪩⨒∯111210))=⪩⨒∯-100203133","reverse_text":"⪩⨒∯-100203133=⩷((⪩⨒∯1101103⩷∴⪩⨒∯111200)≀⫉⪩⨒∯1202122⫁⪎⪩⨒∯131230)⨸((⪩⨒∯323223⨥⫆⪩⨒∯100220)⨜⨶(⨴⫝⪩⨒∯111210))","cot":[{"info":"⪩⨒∯1101103⩷∴⪩⨒∯111200=⪩⨒∯1313012","layer":3},{"info":"⪩⨒∯1202122⫁⪎⪩⨒∯131230=⪩⨒∯1010232","layer":3},{"info":"⪩⨒∯1313012≀⫉⪩⨒∯1010232=⪩⨒∯230012","layer":2},{"info":"⪩⨒∯323223⨥⫆⪩⨒∯100220=⪩⨒∯133110","layer":3},{"info":"⨴⫝⪩⨒∯111210=⪩⨒∯22302132212","layer":3},{"info":"⪩⨒∯133110⨜⨶⪩⨒∯22302132212=⪩⨒∯-111210321030","layer":2},{"info":"⪩⨒∯230012⨸⪩⨒∯-111210321030=⪩⨒∯1120030","layer":1},{"info":"⩷⪩⨒∯1120030=⪩⨒∯-100203133","layer":0}]}
{"id":114,"expression_no_base_symbol":"(⫯(($8461$∑⇟⊟$1504$)⨿($2555$∪⫐$5976$)))∥⊢⊲((≤/$2700$⇻⋧≁$4292$)↓⨍⋜)","expression":"(⫯((⪩⨒∯2010031∑⇟⊟⪩⨒∯113200)⨿(⪩⨒∯213323∪⫐⪩⨒∯1131120)))∥⊢⊲((≤/⪩⨒∯222030⇻⋧≁⪩⨒∯1003010)↓⨍⋜)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3270,"operation_count":8,"complexity_ratio":408.75,"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":8461,"base":4},"right_expr":{"type":"numeric_atoms","value":1504,"base":4}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":2555,"base":4},"right_expr":{"type":"numeric_atoms","value":5976,"base":4}}}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":2700,"base":4},"right_expr":{"type":"numeric_atoms","value":4292,"base":4}}}}},"used_operators":["v1UQAVDJRr","H6BK1Evt7c","abYXlopdE0","U7g4x0WXJJ","7YooWSwCyH","3DVzLFNsE9","eLAdDNolq6","jCPkEVoL5K"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","2DDjHMKMc0","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8461","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=8461, right_input=1504, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2555","layer":4},{"info":"number node, value=5976","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=5976, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=2555","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2555, 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 = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=12210","layer":1},{"info":"number node, value=2700","layer":4},{"info":"number node, value=4292","layer":4},{"info":"compute binary expreesion, left_input=2700, right_input=4292, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=931","layer":2},{"info":"compute unary expreesion, input=931, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":1},{"info":"compute binary expreesion, left_input=12210, right_input=6590, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⫯((⪩⨒∯2010031∑⇟⊟⪩⨒∯113200)⨿(⪩⨒∯213323∪⫐⪩⨒∯1131120)))∥⊢⊲((≤/⪩⨒∯222030⇻⋧≁⪩⨒∯1003010)↓⨍⋜)=NaN","reverse_text":"NaN=(⫯((⪩⨒∯2010031∑⇟⊟⪩⨒∯113200)⨿(⪩⨒∯213323∪⫐⪩⨒∯1131120)))∥⊢⊲((≤/⪩⨒∯222030⇻⋧≁⪩⨒∯1003010)↓⨍⋜)","cot":[{"info":"⪩⨒∯2010031∑⇟⊟⪩⨒∯113200=NaN","layer":3},{"info":"⪩⨒∯213323∪⫐⪩⨒∯1131120=⪩⨒∯213323","layer":3},{"info":"NaN⨿⪩⨒∯213323=⪩⨒∯1003","layer":2},{"info":"⫯⪩⨒∯1003=⪩⨒∯2332302","layer":1},{"info":"⪩⨒∯222030⇻⋧≁⪩⨒∯1003010=⪩⨒∯-12333","layer":3},{"info":"≤/⪩⨒∯-12333=⪩⨒∯32203","layer":2},{"info":"⪩⨒∯32203↓⨍⋜=⪩⨒∯1212332","layer":1},{"info":"⪩⨒∯2332302∥⊢⊲⪩⨒∯1212332=NaN","layer":0}]}
{"id":115,"expression_no_base_symbol":"((⫶⊄≣$4005$)≒∊(⊽$5926$))⪬(⇜(↔$8385$))≀⫉(⇜($3688$⇄$1451$⪨≂$1969$⊋≦⊧$1167$))","expression":"((⫶⊄≣⪩⨒∯332211)≒∊(⊽⪩⨒∯1130212))⪬(⇜(↔⪩⨒∯2003001))≀⫉(⇜(⪩⨒∯321220⇄⪩⨒∯112223⪨≂⪩⨒∯132301⊋≦⊧⪩⨒∯102033))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6569,"operation_count":11,"complexity_ratio":597.1818181818181,"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":4005,"base":4}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":5926,"base":4}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":8385,"base":4}}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3688,"base":4},"right_expr":{"type":"numeric_atoms","value":1451,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1969,"base":4},"right_expr":{"type":"numeric_atoms","value":1167,"base":4}}}}},"used_operators":["oZj3VtZNQx","Ez1Nq5fNfI","5KTvxBwnZo","wxb3vTeyAj","QxG7OkqoLX","lFBm8KRb8F","ruOEQAzv1W","sdazOOVcIp","3EYGwJThht","oRDoc9rAEX"],"dependent_operators":["9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⪩⨒∯230012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4005","layer":4},{"info":"compute unary expreesion, input=4005, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=288789229","layer":3},{"info":"number node, value=5926","layer":4},{"info":"compute unary expreesion, input=5926, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=13374","layer":3},{"info":"compute binary expreesion, left_input=288789229, right_input=13374, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-288788745","layer":2},{"info":"number node, value=8385","layer":4},{"info":"compute unary expreesion, input=8385, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8112","layer":3},{"info":"compute unary expreesion, input=-8112, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute binary expreesion, left_input=-288788745, right_input=232, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=3688","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=3688, right_input=1451, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1969","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1167, 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=-2094","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2094, 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=4290","layer":2},{"info":"compute unary expreesion, input=4290, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-34728","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-34728, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":0}],"base":4,"result_base":4,"text":"((⫶⊄≣⪩⨒∯332211)≒∊(⊽⪩⨒∯1130212))⪬(⇜(↔⪩⨒∯2003001))≀⫉(⇜(⪩⨒∯321220⇄⪩⨒∯112223⪨≂⪩⨒∯132301⊋≦⊧⪩⨒∯102033))=⪩⨒∯230012","reverse_text":"⪩⨒∯230012=((⫶⊄≣⪩⨒∯332211)≒∊(⊽⪩⨒∯1130212))⪬(⇜(↔⪩⨒∯2003001))≀⫉(⇜(⪩⨒∯321220⇄⪩⨒∯112223⪨≂⪩⨒∯132301⊋≦⊧⪩⨒∯102033))","cot":[{"info":"⫶⊄≣⪩⨒∯332211=⪩⨒∯101031221023231","layer":3},{"info":"⊽⪩⨒∯1130212=⪩⨒∯3100332","layer":3},{"info":"⪩⨒∯101031221023231≒∊⪩⨒∯3100332=⪩⨒∯-101031221010021","layer":2},{"info":"↔⪩⨒∯2003001=⪩⨒∯-1332300","layer":3},{"info":"⇜⪩⨒∯-1332300=⪩⨒∯3220","layer":2},{"info":"⪩⨒∯-101031221010021⪬⪩⨒∯3220=⪩⨒∯103102","layer":1},{"info":"⪩⨒∯321220⇄⪩⨒∯112223=⪩⨒∯0","layer":3},{"info":"⪩⨒∯132301⊋≦⊧⪩⨒∯102033=⪩⨒∯-200232","layer":3},{"info":"⪩⨒∯0⪨≂⪩⨒∯-200232=⪩⨒∯1003002","layer":2},{"info":"⇜⪩⨒∯1003002=⪩⨒∯-20132220","layer":1},{"info":"⪩⨒∯103102≀⫉⪩⨒∯-20132220=⪩⨒∯230012","layer":0}]}
{"id":116,"expression_no_base_symbol":"((∡(⇈$3555$))≒∊($1759$⨰$1805$)⊋($1772$⫸⊐$2854$))⊢(≇⪴$1555$⪝$1759$)∌(($1248$⫌⩉⩟$2569$)≀⩗∶(↘$6707$))","expression":"((∡(⇈⪩⨒∯313203))≒∊(⪩⨒∯123133⨰⪩⨒∯130031)⊋(⪩⨒∯123230⫸⊐⪩⨒∯230212))⊢(≇⪴⪩⨒∯120103⪝⪩⨒∯123133)∌((⪩⨒∯103200⫌⩉⩟⪩⨒∯220021)≀⩗∶(↘⪩⨒∯1220303))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15051,"operation_count":13,"complexity_ratio":1157.7692307692307,"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":3555,"base":4}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1759,"base":4},"right_expr":{"type":"numeric_atoms","value":1805,"base":4}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1772,"base":4},"right_expr":{"type":"numeric_atoms","value":2854,"base":4}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1555,"base":4},"right_expr":{"type":"numeric_atoms","value":1759,"base":4}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1248,"base":4},"right_expr":{"type":"numeric_atoms","value":2569,"base":4}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":6707,"base":4}}}}},"used_operators":["5twsqlHp2o","5KTvxBwnZo","pRsWfj4Fpp","SLLxy00UIr","W4tP9CfskL","eewbuw0ToL","mqXw5SEYmG","8cLx32lpNA","zoVPnxeHJ3","wicAB68Tmb","8INZBEW696","XIIwhv8d0m","LdNpr8hQHL"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","uFcxV4UQCh"],"result":"⪩⨒∯1000320","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3555","layer":4},{"info":"compute unary expreesion, input=3555, 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 = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=2682","layer":2},{"info":"number node, value=1759","layer":4},{"info":"number node, value=1805","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=1805, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-36","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=2854, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11291","layer":3},{"info":"compute binary expreesion, left_input=-36, right_input=11291, 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=0","layer":2},{"info":"compute binary expreesion, left_input=2682, right_input=0, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2198","layer":1},{"info":"number node, value=1555","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=1759, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=948","layer":2},{"info":"number node, value=1248","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=2569, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=6707","layer":4},{"info":"compute unary expreesion, input=6707, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=43","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=43, 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=948, right_input=3, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3","layer":1},{"info":"compute binary expreesion, left_input=-2198, right_input=-3, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=4152","layer":0}],"base":4,"result_base":4,"text":"((∡(⇈⪩⨒∯313203))≒∊(⪩⨒∯123133⨰⪩⨒∯130031)⊋(⪩⨒∯123230⫸⊐⪩⨒∯230212))⊢(≇⪴⪩⨒∯120103⪝⪩⨒∯123133)∌((⪩⨒∯103200⫌⩉⩟⪩⨒∯220021)≀⩗∶(↘⪩⨒∯1220303))=⪩⨒∯1000320","reverse_text":"⪩⨒∯1000320=((∡(⇈⪩⨒∯313203))≒∊(⪩⨒∯123133⨰⪩⨒∯130031)⊋(⪩⨒∯123230⫸⊐⪩⨒∯230212))⊢(≇⪴⪩⨒∯120103⪝⪩⨒∯123133)∌((⪩⨒∯103200⫌⩉⩟⪩⨒∯220021)≀⩗∶(↘⪩⨒∯1220303))","cot":[{"info":"⇈⪩⨒∯313203=⪩⨒∯-12333","layer":3},{"info":"∡⪩⨒∯-12333=⪩⨒∯221322","layer":2},{"info":"⪩⨒∯123133⨰⪩⨒∯130031=⪩⨒∯-210","layer":3},{"info":"⪩⨒∯123230⫸⊐⪩⨒∯230212=⪩⨒∯2300123","layer":3},{"info":"⪩⨒∯-210⊋⪩⨒∯2300123=⪩⨒∯0","layer":2},{"info":"⪩⨒∯221322≒∊⪩⨒∯0=⪩⨒∯-202112","layer":1},{"info":"⪩⨒∯120103⪝⪩⨒∯123133=⪩⨒∯3231","layer":3},{"info":"≇⪴⪩⨒∯3231=⪩⨒∯32310","layer":2},{"info":"⪩⨒∯103200⫌⩉⩟⪩⨒∯220021=⪩⨒∯-302","layer":3},{"info":"↘⪩⨒∯1220303=⪩⨒∯223","layer":3},{"info":"⪩⨒∯-302≀⩗∶⪩⨒∯223=⪩⨒∯3","layer":2},{"info":"⪩⨒∯32310∌⪩⨒∯3=⪩⨒∯-3","layer":1},{"info":"⪩⨒∯-202112⊢⪩⨒∯-3=⪩⨒∯1000320","layer":0}]}
{"id":117,"expression_no_base_symbol":"(($4403$∠⫱$1127$)↼⊘⨖$6849$⪒⊣⊆$2158$⫸⇳(↨($1292$∖$2314$)))⇍⊗(⇜⊴($2899$⫘$7241$)⊉↱≁(⊵⊁$2498$))","expression":"((⪩⨒∯1010303∠⫱⪩⨒∯101213)↼⊘⨖⪩⨒∯1223001⪒⊣⊆⪩⨒∯201232⫸⇳(↨(⪩⨒∯110030∖⪩⨒∯210022)))⇍⊗(⇜⊴(⪩⨒∯231103⫘⪩⨒∯1301021)⊉↱≁(⊵⊁⪩⨒∯213002))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3832,"operation_count":11,"complexity_ratio":348.3636363636364,"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":4403,"base":4},"right_expr":{"type":"numeric_atoms","value":1127,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":6849,"base":4},"right_expr":{"type":"numeric_atoms","value":2158,"base":4}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1292,"base":4},"right_expr":{"type":"numeric_atoms","value":2314,"base":4}}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":2899,"base":4},"right_expr":{"type":"numeric_atoms","value":7241,"base":4}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2498,"base":4}}}}},"used_operators":["5uvYHDjeKN","gx7XJ7hdpj","bPywburJMS","QvoQhV0rrE","eRqsBgTDFp","jiX4gk2v2Q","tXD093vOjl","XwDhCwWbUn","w2P8NbNXyL","48vC8HMD2b","AvED76WdY7"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","sdazOOVcIp","W4YGzv6Whe","rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","uBihLCJcMX","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4403","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=4403, right_input=1127, 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=6849","layer":4},{"info":"number node, value=2158","layer":4},{"info":"compute binary expreesion, left_input=6849, right_input=2158, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=13698","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=13698, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=27174","layer":2},{"info":"number node, value=1292","layer":4},{"info":"number node, value=2314","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=2314, 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 = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=27174, right_input=2822, 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=2899","layer":4},{"info":"number node, value=7241","layer":4},{"info":"compute binary expreesion, left_input=2899, right_input=7241, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=3413629","layer":3},{"info":"number node, value=2498","layer":4},{"info":"compute unary expreesion, input=2498, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=13918","layer":3},{"info":"compute binary expreesion, left_input=3413629, right_input=13918, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=34052730","layer":2},{"info":"compute unary expreesion, input=34052730, 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=-inf","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-inf, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1010303∠⫱⪩⨒∯101213)↼⊘⨖⪩⨒∯1223001⪒⊣⊆⪩⨒∯201232⫸⇳(↨(⪩⨒∯110030∖⪩⨒∯210022)))⇍⊗(⇜⊴(⪩⨒∯231103⫘⪩⨒∯1301021)⊉↱≁(⊵⊁⪩⨒∯213002))=NaN","reverse_text":"NaN=((⪩⨒∯1010303∠⫱⪩⨒∯101213)↼⊘⨖⪩⨒∯1223001⪒⊣⊆⪩⨒∯201232⫸⇳(↨(⪩⨒∯110030∖⪩⨒∯210022)))⇍⊗(⇜⊴(⪩⨒∯231103⫘⪩⨒∯1301021)⊉↱≁(⊵⊁⪩⨒∯213002))","cot":[{"info":"⪩⨒∯1010303∠⫱⪩⨒∯101213=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯1223001⪒⊣⊆⪩⨒∯201232=⪩⨒∯3112002","layer":3},{"info":"⪩⨒∯103102↼⊘⨖⪩⨒∯3112002=⪩⨒∯12220212","layer":2},{"info":"⪩⨒∯110030∖⪩⨒∯210022=⪩⨒∯0","layer":3},{"info":"↨⪩⨒∯0=⪩⨒∯230012","layer":2},{"info":"⪩⨒∯12220212⫸⇳⪩⨒∯230012=⪩⨒∯0","layer":1},{"info":"⪩⨒∯231103⫘⪩⨒∯1301021=⪩⨒∯31001121331","layer":3},{"info":"⊵⊁⪩⨒∯213002=⪩⨒∯3121132","layer":3},{"info":"⪩⨒∯31001121331⊉↱≁⪩⨒∯3121132=⪩⨒∯2001321221322","layer":2},{"info":"⇜⊴⪩⨒∯2001321221322=-Inf","layer":1},{"info":"⪩⨒∯0⇍⊗-Inf=NaN","layer":0}]}
{"id":118,"expression_no_base_symbol":"(($3988$⩺⪪$4569$)⩘$1946$⨐$1713$)⫉⨲⊜(($1203$⪍↜⋙$6239$)⪥(⪛⨧$1552$))≠≀(($4754$⨽$1674$)↢(⪁⇼$2852$)∙⊟($4045$⩍⋽⫝̸$1457$)≦↸(∜⨇$1017$))","expression":"((⪩⨒∯332110⩺⪪⪩⨒∯1013121)⩘⪩⨒∯132122⨐⪩⨒∯122301)⫉⨲⊜((⪩⨒∯102303⪍↜⋙⪩⨒∯1201133)⪥(⪛⨧⪩⨒∯120100))≠≀((⪩⨒∯1022102⨽⪩⨒∯122022)↢(⪁⇼⪩⨒∯230210)∙⊟(⪩⨒∯333031⩍⋽⫝̸⪩⨒∯112301)≦↸(∜⨇⪩⨒∯33321))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10660,"operation_count":15,"complexity_ratio":710.6666666666666,"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":3988,"base":4},"right_expr":{"type":"numeric_atoms","value":4569,"base":4}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1946,"base":4},"right_expr":{"type":"numeric_atoms","value":1713,"base":4}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1203,"base":4},"right_expr":{"type":"numeric_atoms","value":6239,"base":4}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1552,"base":4}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4754,"base":4},"right_expr":{"type":"numeric_atoms","value":1674,"base":4}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":2852,"base":4}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4045,"base":4},"right_expr":{"type":"numeric_atoms","value":1457,"base":4}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1017,"base":4}}}}},"used_operators":["IwW236VD4Y","WhqkvtTD3t","cHh1gJQ2o6","uvdQJvN4PV","Noe24qw2ks","QbnwKVWMIQ","L05ObWFQCd","6NJAcO2OWT","SxTAKzQCrw","WR6HLWljOP","8HhzD0ZcuI","ZNVVrZ94lY","RygbFNSyEJ","BiWNJpBvwn","uFPyJr306J"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eewbuw0ToL","zVYPLywUTj","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","Ph9nP6C5qx","xUOZtlo3hN","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ"],"result":"⪩⨒∯1020011112","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3988","layer":4},{"info":"number node, value=4569","layer":4},{"info":"compute binary expreesion, left_input=3988, right_input=4569, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=1713, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3892","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=-3892, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":2},{"info":"number node, value=1203","layer":4},{"info":"number node, value=6239","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=6239, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-19276","layer":3},{"info":"number node, value=1552","layer":4},{"info":"compute unary expreesion, input=1552, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4505","layer":3},{"info":"compute binary expreesion, left_input=-19276, right_input=4505, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-147364","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-147364, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-147474","layer":1},{"info":"number node, value=4754","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=1674, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-67805256","layer":3},{"info":"number node, value=2852","layer":4},{"info":"compute unary expreesion, input=2852, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=-67805256, right_input=422, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-135609668","layer":2},{"info":"number node, value=4045","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=4045, right_input=1457, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=511","layer":3},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, 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=511, 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=-135609668, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=1762941428","layer":1},{"info":"compute binary expreesion, left_input=-147474, right_input=1762941428, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=295254","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯332110⩺⪪⪩⨒∯1013121)⩘⪩⨒∯132122⨐⪩⨒∯122301)⫉⨲⊜((⪩⨒∯102303⪍↜⋙⪩⨒∯1201133)⪥(⪛⨧⪩⨒∯120100))≠≀((⪩⨒∯1022102⨽⪩⨒∯122022)↢(⪁⇼⪩⨒∯230210)∙⊟(⪩⨒∯333031⩍⋽⫝̸⪩⨒∯112301)≦↸(∜⨇⪩⨒∯33321))=⪩⨒∯1020011112","reverse_text":"⪩⨒∯1020011112=((⪩⨒∯332110⩺⪪⪩⨒∯1013121)⩘⪩⨒∯132122⨐⪩⨒∯122301)⫉⨲⊜((⪩⨒∯102303⪍↜⋙⪩⨒∯1201133)⪥(⪛⨧⪩⨒∯120100))≠≀((⪩⨒∯1022102⨽⪩⨒∯122022)↢(⪁⇼⪩⨒∯230210)∙⊟(⪩⨒∯333031⩍⋽⫝̸⪩⨒∯112301)≦↸(∜⨇⪩⨒∯33321))","cot":[{"info":"⪩⨒∯332110⩺⪪⪩⨒∯1013121=⪩⨒∯-130122","layer":3},{"info":"⪩⨒∯132122⨐⪩⨒∯122301=⪩⨒∯-330310","layer":3},{"info":"⪩⨒∯-130122⩘⪩⨒∯-330310=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯102303⪍↜⋙⪩⨒∯1201133=⪩⨒∯-10231030","layer":3},{"info":"⪛⨧⪩⨒∯120100=⪩⨒∯1012121","layer":3},{"info":"⪩⨒∯-10231030⪥⪩⨒∯1012121=⪩⨒∯-203332210","layer":2},{"info":"⪩⨒∯2200⫉⨲⊜⪩⨒∯-203332210=⪩⨒∯-210000102","layer":1},{"info":"⪩⨒∯1022102⨽⪩⨒∯122022=⪩⨒∯-10002222001020","layer":3},{"info":"⪁⇼⪩⨒∯230210=⪩⨒∯12212","layer":3},{"info":"⪩⨒∯-10002222001020↢⪩⨒∯12212=⪩⨒∯-20011103311010","layer":2},{"info":"⪩⨒∯333031⩍⋽⫝̸⪩⨒∯112301=⪩⨒∯13333","layer":3},{"info":"∜⨇⪩⨒∯33321=NaN","layer":3},{"info":"⪩⨒∯13333≦↸NaN=NaN","layer":2},{"info":"⪩⨒∯-20011103311010∙⊟NaN=⪩⨒∯1221011011213310","layer":1},{"info":"⪩⨒∯-210000102≠≀⪩⨒∯1221011011213310=⪩⨒∯1020011112","layer":0}]}
{"id":119,"expression_no_base_symbol":"($1717$⪝$5534$⫃⨇$2547$≬⇓$2672$)⫯⪬∳((⨰⫟⨤$1672$)⪛⫼($2150$∖$1184$))⊨($1296$⫘$3515$⫥∨⫟$1214$→⨶⪴$8598$)⩒⫫(↑$1466$)⇻⋧≁($2845$⪶≀⋏$6329$)","expression":"(⪩⨒∯122311⪝⪩⨒∯1112132⫃⨇⪩⨒∯213303≬⇓⪩⨒∯221300)⫯⪬∳((⨰⫟⨤⪩⨒∯122020)⪛⫼(⪩⨒∯201212∖⪩⨒∯102200))⊨(⪩⨒∯110100⫘⪩⨒∯312323⫥∨⫟⪩⨒∯102332→⨶⪴⪩⨒∯2012112)⩒⫫(↑⪩⨒∯112322)⇻⋧≁(⪩⨒∯230131⪶≀⋏⪩⨒∯1202321)","highest_n_order":4,"priority_hierarchical_complexity":14,"normalized_expansion_degree":8555,"operation_count":15,"complexity_ratio":570.3333333333334,"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":1717,"base":4},"right_expr":{"type":"numeric_atoms","value":5534,"base":4}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2547,"base":4},"right_expr":{"type":"numeric_atoms","value":2672,"base":4}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1672,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2150,"base":4},"right_expr":{"type":"numeric_atoms","value":1184,"base":4}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1296,"base":4},"right_expr":{"type":"numeric_atoms","value":3515,"base":4}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1214,"base":4},"right_expr":{"type":"numeric_atoms","value":8598,"base":4}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1466,"base":4}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2845,"base":4},"right_expr":{"type":"numeric_atoms","value":6329,"base":4}}}}},"used_operators":["vg4gO5BX6G","d7ASUq0ydm","09Ly4LVMIf","wicAB68Tmb","jWTQ2TZYIH","hyuBjUqXlG","Tw270M8GLb","tXD093vOjl","KFSx94NKJn","KYD54nUTWz","48vC8HMD2b","bF6eod5Gvf","jCPkEVoL5K","tR7O2zTn5j","zR4jO40bMj"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","8w2t5hMYqp","9FxExcQeMw","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1717","layer":4},{"info":"number node, value=5534","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=5534, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=2547","layer":4},{"info":"number node, value=2672","layer":4},{"info":"compute binary expreesion, left_input=2547, right_input=2672, 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=237, right_input=-22, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=56","layer":2},{"info":"number node, value=1672","layer":4},{"info":"compute unary expreesion, input=1672, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2150","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=1184, 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=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":2},{"info":"compute binary expreesion, left_input=56, right_input=968, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-655","layer":1},{"info":"number node, value=1296","layer":4},{"info":"number node, value=3515","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=3515, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1528501","layer":3},{"info":"number node, value=1214","layer":4},{"info":"number node, value=8598","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=8598, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-25794","layer":3},{"info":"compute binary expreesion, left_input=1528501, right_input=-25794, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1466","layer":4},{"info":"compute unary expreesion, input=1466, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=2845","layer":4},{"info":"number node, value=6329","layer":4},{"info":"compute binary expreesion, left_input=2845, right_input=6329, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21425","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-21425, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=-655, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯122311⪝⪩⨒∯1112132⫃⨇⪩⨒∯213303≬⇓⪩⨒∯221300)⫯⪬∳((⨰⫟⨤⪩⨒∯122020)⪛⫼(⪩⨒∯201212∖⪩⨒∯102200))⊨(⪩⨒∯110100⫘⪩⨒∯312323⫥∨⫟⪩⨒∯102332→⨶⪴⪩⨒∯2012112)⩒⫫(↑⪩⨒∯112322)⇻⋧≁(⪩⨒∯230131⪶≀⋏⪩⨒∯1202321)=NaN","reverse_text":"NaN=(⪩⨒∯122311⪝⪩⨒∯1112132⫃⨇⪩⨒∯213303≬⇓⪩⨒∯221300)⫯⪬∳((⨰⫟⨤⪩⨒∯122020)⪛⫼(⪩⨒∯201212∖⪩⨒∯102200))⊨(⪩⨒∯110100⫘⪩⨒∯312323⫥∨⫟⪩⨒∯102332→⨶⪴⪩⨒∯2012112)⩒⫫(↑⪩⨒∯112322)⇻⋧≁(⪩⨒∯230131⪶≀⋏⪩⨒∯1202321)","cot":[{"info":"⪩⨒∯122311⪝⪩⨒∯1112132=⪩⨒∯3231","layer":3},{"info":"⪩⨒∯213303≬⇓⪩⨒∯221300=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯3231⫃⨇⪩⨒∯-112=⪩⨒∯320","layer":2},{"info":"⨰⫟⨤⪩⨒∯122020=NaN","layer":3},{"info":"⪩⨒∯201212∖⪩⨒∯102200=⪩⨒∯0","layer":3},{"info":"NaN⪛⫼⪩⨒∯0=⪩⨒∯33020","layer":2},{"info":"⪩⨒∯320⫯⪬∳⪩⨒∯33020=⪩⨒∯-22033","layer":1},{"info":"⪩⨒∯110100⫘⪩⨒∯312323=⪩⨒∯11311022311","layer":3},{"info":"⪩⨒∯102332→⨶⪴⪩⨒∯2012112=⪩⨒∯-12103002","layer":3},{"info":"⪩⨒∯11311022311⫥∨⫟⪩⨒∯-12103002=NaN","layer":2},{"info":"↑⪩⨒∯112322=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯230131⪶≀⋏⪩⨒∯1202321=⪩⨒∯-11032301","layer":3},{"info":"⪩⨒∯3000⇻⋧≁⪩⨒∯-11032301=⪩⨒∯0","layer":2},{"info":"NaN⩒⫫⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯-22033⊨NaN=NaN","layer":0}]}
{"id":120,"expression_no_base_symbol":"↣≠⋷(($2776$⪥$1199$⩠)⨘⋶⪀)","expression":"↣≠⋷((⪩⨒∯223120⪥⪩⨒∯102233⩠)⨘⋶⪀)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":128,"operation_count":4,"complexity_ratio":32.0,"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":2776,"base":4},"right_expr":{"type":"numeric_atoms","value":1199,"base":4}}}}},"used_operators":["Asc51vEJeQ","XVKwrhznBb","sJAwomhLZr","QbnwKVWMIQ"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2776","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=1199, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15756","layer":3},{"info":"compute unary expreesion, input=15756, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=2802","layer":1},{"info":"compute unary expreesion, input=2802, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"↣≠⋷((⪩⨒∯223120⪥⪩⨒∯102233⩠)⨘⋶⪀)=NaN","reverse_text":"NaN=↣≠⋷((⪩⨒∯223120⪥⪩⨒∯102233⩠)⨘⋶⪀)","cot":[{"info":"⪩⨒∯223120⪥⪩⨒∯102233=⪩⨒∯3312030","layer":3},{"info":"⪩⨒∯3312030⩠=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⨘⋶⪀=⪩⨒∯223302","layer":1},{"info":"↣≠⋷⪩⨒∯223302=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"(($3140$⪣⫩)⨂≜($1412$∲⫓$1978$)⇣⩺⋵($3151$⇴∐$1994$)⋕⪉⪜($2115$⋭≵$1530$))⨿(↥$5103$⨥⫆$4616$≳⇉(⩰$1723$))","expression":"((⪩⨒∯301010⪣⫩)⨂≜(⪩⨒∯112010∲⫓⪩⨒∯132322)⇣⩺⋵(⪩⨒∯301033⇴∐⪩⨒∯133022)⋕⪉⪜(⪩⨒∯201003⋭≵⪩⨒∯113322))⨿(↥⪩⨒∯1033233⨥⫆⪩⨒∯1020020≳⇉(⩰⪩⨒∯122323))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":138210720,"operation_count":12,"complexity_ratio":11517560.0,"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":3140,"base":4}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1412,"base":4},"right_expr":{"type":"numeric_atoms","value":1978,"base":4}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3151,"base":4},"right_expr":{"type":"numeric_atoms","value":1994,"base":4}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2115,"base":4},"right_expr":{"type":"numeric_atoms","value":1530,"base":4}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":5103,"base":4},"right_expr":{"type":"numeric_atoms","value":4616,"base":4}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1723,"base":4}}}}},"used_operators":["abYXlopdE0","F4yD0voBRQ","k1SHOSEABc","iuk5sVOGFA","i8ToyICDmI","z6LnFrNh4i","HnzytWxmAO","jBncVCNhdl","A8NUZmVepG","V0kx6qeWkN","yXekIHxTD4","WkeUrDK8WX"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","k8jYdgA6NY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3140","layer":4},{"info":"compute unary expreesion, input=3140, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=9387","layer":3},{"info":"number node, value=1412","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=1978, 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=9387, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=352444132","layer":2},{"info":"number node, value=3151","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=3151, right_input=1994, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=2115","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=1530, 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 = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=352444132, right_input=204, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"number node, value=5103","layer":4},{"info":"number node, value=4616","layer":4},{"info":"compute binary expreesion, left_input=5103, right_input=4616, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9108","layer":3},{"info":"number node, value=1723","layer":4},{"info":"compute unary expreesion, input=1723, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2723","layer":3},{"info":"compute binary expreesion, left_input=9108, right_input=-2723, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯301010⪣⫩)⨂≜(⪩⨒∯112010∲⫓⪩⨒∯132322)⇣⩺⋵(⪩⨒∯301033⇴∐⪩⨒∯133022)⋕⪉⪜(⪩⨒∯201003⋭≵⪩⨒∯113322))⨿(↥⪩⨒∯1033233⨥⫆⪩⨒∯1020020≳⇉(⩰⪩⨒∯122323))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⪩⨒∯301010⪣⫩)⨂≜(⪩⨒∯112010∲⫓⪩⨒∯132322)⇣⩺⋵(⪩⨒∯301033⇴∐⪩⨒∯133022)⋕⪉⪜(⪩⨒∯201003⋭≵⪩⨒∯113322))⨿(↥⪩⨒∯1033233⨥⫆⪩⨒∯1020020≳⇉(⩰⪩⨒∯122323))","cot":[{"info":"⪩⨒∯301010⪣⫩=⪩⨒∯2102223","layer":3},{"info":"⪩⨒∯112010∲⫓⪩⨒∯132322=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2102223⨂≜⪩⨒∯0=⪩⨒∯111000131323210","layer":2},{"info":"⪩⨒∯301033⇴∐⪩⨒∯133022=NaN","layer":3},{"info":"⪩⨒∯201003⋭≵⪩⨒∯113322=⪩⨒∯1003","layer":3},{"info":"NaN⋕⪉⪜⪩⨒∯1003=⪩⨒∯3030","layer":2},{"info":"⪩⨒∯111000131323210⇣⩺⋵⪩⨒∯3030=⪩⨒∯-10010","layer":1},{"info":"⪩⨒∯1033233⨥⫆⪩⨒∯1020020=⪩⨒∯2032110","layer":3},{"info":"⩰⪩⨒∯122323=⪩⨒∯-222203","layer":3},{"info":"⪩⨒∯2032110≳⇉⪩⨒∯-222203=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⪩⨒∯-10010⨿NaN=⪩⨒∯1003","layer":0}]}
{"id":122,"expression_no_base_symbol":"((⊖∈$1040$)≭$5152$⇍⊗$3339$)↞⋁($1045$∠↢$6885$⪁$4673$⩼⇪↪$4204$)⫞⩸⩒(($1176$⪛⫼$1094$∷)⪇≇⋚$1077$⇤$2130$⫯⪬∳($3189$⩺⪪$2369$))","expression":"((⊖∈⪩⨒∯100100)≭⪩⨒∯1100200⇍⊗⪩⨒∯310023)↞⋁(⪩⨒∯100111∠↢⪩⨒∯1223211⪁⪩⨒∯1021001⩼⇪↪⪩⨒∯1001230)⫞⩸⩒((⪩⨒∯102120⪛⫼⪩⨒∯101012∷)⪇≇⋚⪩⨒∯100311⇤⪩⨒∯201102⫯⪬∳(⪩⨒∯301311⩺⪪⪩⨒∯211001))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":120958,"operation_count":14,"complexity_ratio":8639.857142857143,"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":1040,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":5152,"base":4},"right_expr":{"type":"numeric_atoms","value":3339,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1045,"base":4},"right_expr":{"type":"numeric_atoms","value":6885,"base":4}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4673,"base":4},"right_expr":{"type":"numeric_atoms","value":4204,"base":4}}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1176,"base":4},"right_expr":{"type":"numeric_atoms","value":1094,"base":4}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1077,"base":4},"right_expr":{"type":"numeric_atoms","value":2130,"base":4}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3189,"base":4},"right_expr":{"type":"numeric_atoms","value":2369,"base":4}}}}},"used_operators":["XGcMNugi78","RqrPlJkxDo","rxpJgHHUmx","YFxL8Sc2Zy","5uvYHDjeKN","I7sXao9hZE","KbjG8mgYpV","ocnLzx9CaJ","3sJ7IOPOlU","nFAOW8KTqp","hyuBjUqXlG","d7ASUq0ydm","YSKBFp38Pu","uvdQJvN4PV"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","AHs5Up7iyr","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=15206","layer":3},{"info":"number node, value=5152","layer":4},{"info":"number node, value=3339","layer":4},{"info":"compute binary expreesion, left_input=5152, right_input=3339, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=15206, right_input=-244, 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=1045","layer":4},{"info":"number node, value=6885","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=6885, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-99488","layer":3},{"info":"number node, value=4673","layer":4},{"info":"number node, value=4204","layer":4},{"info":"compute binary expreesion, left_input=4673, right_input=4204, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-20865","layer":3},{"info":"compute binary expreesion, left_input=-99488, right_input=-20865, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', 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":"number node, value=1176","layer":4},{"info":"number node, value=1094","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=1094, 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 = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=2904","layer":2},{"info":"number node, value=1077","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=2130, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-13187","layer":3},{"info":"number node, value=3189","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=3189, right_input=2369, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-14018","layer":3},{"info":"compute binary expreesion, left_input=-13187, right_input=-14018, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=39088","layer":2},{"info":"compute binary expreesion, left_input=2904, right_input=39088, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":4,"result_base":4,"text":"((⊖∈⪩⨒∯100100)≭⪩⨒∯1100200⇍⊗⪩⨒∯310023)↞⋁(⪩⨒∯100111∠↢⪩⨒∯1223211⪁⪩⨒∯1021001⩼⇪↪⪩⨒∯1001230)⫞⩸⩒((⪩⨒∯102120⪛⫼⪩⨒∯101012∷)⪇≇⋚⪩⨒∯100311⇤⪩⨒∯201102⫯⪬∳(⪩⨒∯301311⩺⪪⪩⨒∯211001))=NaN","reverse_text":"NaN=((⊖∈⪩⨒∯100100)≭⪩⨒∯1100200⇍⊗⪩⨒∯310023)↞⋁(⪩⨒∯100111∠↢⪩⨒∯1223211⪁⪩⨒∯1021001⩼⇪↪⪩⨒∯1001230)⫞⩸⩒((⪩⨒∯102120⪛⫼⪩⨒∯101012∷)⪇≇⋚⪩⨒∯100311⇤⪩⨒∯201102⫯⪬∳(⪩⨒∯301311⩺⪪⪩⨒∯211001))","cot":[{"info":"⊖∈⪩⨒∯100100=⪩⨒∯3231212","layer":3},{"info":"⪩⨒∯1100200⇍⊗⪩⨒∯310023=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯3231212≭⪩⨒∯-3310=NaN","layer":2},{"info":"⪩⨒∯100111∠↢⪩⨒∯1223211=⪩⨒∯-120102200","layer":3},{"info":"⪩⨒∯1021001⩼⇪↪⪩⨒∯1001230=⪩⨒∯-11012001","layer":3},{"info":"⪩⨒∯-120102200⪁⪩⨒∯-11012001=NaN","layer":2},{"info":"NaN↞⋁NaN=NaN","layer":1},{"info":"⪩⨒∯102120⪛⫼⪩⨒∯101012=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯33020∷=⪩⨒∯231120","layer":2},{"info":"⪩⨒∯100311⇤⪩⨒∯201102=⪩⨒∯-3032003","layer":3},{"info":"⪩⨒∯301311⩺⪪⪩⨒∯211001=⪩⨒∯-3123002","layer":3},{"info":"⪩⨒∯-3032003⫯⪬∳⪩⨒∯-3123002=⪩⨒∯21202300","layer":2},{"info":"⪩⨒∯231120⪇≇⋚⪩⨒∯21202300=⪩⨒∯0","layer":1},{"info":"NaN⫞⩸⩒⪩⨒∯0=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"(($1225$↢$1662$+$3212$∊∟⩊$1999$)⋥≓≎($4853$⫭)∝$2407$∥⊢⊲$8682$)≝⊿(($1019$∼$4532$)⫯⪬∳($2680$∌↝$1514$)⫸⇳((≤/$2766$)⩘))","expression":"((⪩⨒∯103021↢⪩⨒∯121332+⪩⨒∯302030∊∟⩊⪩⨒∯133033)⋥≓≎(⪩⨒∯1023311⫭)∝⪩⨒∯211213∥⊢⊲⪩⨒∯2013222)≝⊿((⪩⨒∯33323∼⪩⨒∯1012310)⫯⪬∳(⪩⨒∯221320∌↝⪩⨒∯113222)⫸⇳((≤/⪩⨒∯223032)⩘))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":162,"operation_count":14,"complexity_ratio":11.571428571428571,"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":1225,"base":4},"right_expr":{"type":"numeric_atoms","value":1662,"base":4}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":3212,"base":4},"right_expr":{"type":"numeric_atoms","value":1999,"base":4}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":4853,"base":4}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2407,"base":4},"right_expr":{"type":"numeric_atoms","value":8682,"base":4}}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1019,"base":4},"right_expr":{"type":"numeric_atoms","value":4532,"base":4}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2680,"base":4},"right_expr":{"type":"numeric_atoms","value":1514,"base":4}}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2766,"base":4}}}}},"used_operators":["OKKcZfAt5B","Qy55tPpLXF","W4YGzv6Whe","WR6HLWljOP","ddLRYrp01A","cTDWOvIxvz","t4WUHVGj7f","v1UQAVDJRr","gx7XJ7hdpj","d7ASUq0ydm","DyGG3AbaNP","9Isq31Ruls","wvHyciQT5X","eLAdDNolq6"],"dependent_operators":["12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9ICcGScMcE","dfKe02y8D2","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1225","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=1662, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=741","layer":3},{"info":"number node, value=3212","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=3212, right_input=1999, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1999","layer":3},{"info":"compute binary expreesion, left_input=741, right_input=1999, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2740","layer":2},{"info":"number node, value=4853","layer":4},{"info":"compute unary expreesion, input=4853, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=14800","layer":3},{"info":"number node, value=2407","layer":4},{"info":"number node, value=8682","layer":4},{"info":"compute binary expreesion, left_input=2407, right_input=8682, 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=14800, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2740, 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=1019","layer":4},{"info":"number node, value=4532","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=4532, 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=2680","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=2680, right_input=1514, 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=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":2},{"info":"number node, value=2766","layer":4},{"info":"compute unary expreesion, input=2766, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2282","layer":3},{"info":"compute unary expreesion, input=-2282, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, 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=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯103021↢⪩⨒∯121332+⪩⨒∯302030∊∟⩊⪩⨒∯133033)⋥≓≎(⪩⨒∯1023311⫭)∝⪩⨒∯211213∥⊢⊲⪩⨒∯2013222)≝⊿((⪩⨒∯33323∼⪩⨒∯1012310)⫯⪬∳(⪩⨒∯221320∌↝⪩⨒∯113222)⫸⇳((≤/⪩⨒∯223032)⩘))=NaN","reverse_text":"NaN=((⪩⨒∯103021↢⪩⨒∯121332+⪩⨒∯302030∊∟⩊⪩⨒∯133033)⋥≓≎(⪩⨒∯1023311⫭)∝⪩⨒∯211213∥⊢⊲⪩⨒∯2013222)≝⊿((⪩⨒∯33323∼⪩⨒∯1012310)⫯⪬∳(⪩⨒∯221320∌↝⪩⨒∯113222)⫸⇳((≤/⪩⨒∯223032)⩘))","cot":[{"info":"⪩⨒∯103021↢⪩⨒∯121332=⪩⨒∯23211","layer":3},{"info":"⪩⨒∯302030∊∟⩊⪩⨒∯133033=⪩⨒∯133033","layer":3},{"info":"⪩⨒∯23211+⪩⨒∯133033=⪩⨒∯222310","layer":2},{"info":"⪩⨒∯1023311⫭=⪩⨒∯3213100","layer":3},{"info":"⪩⨒∯211213∥⊢⊲⪩⨒∯2013222=NaN","layer":3},{"info":"⪩⨒∯3213100∝NaN=NaN","layer":2},{"info":"⪩⨒∯222310⋥≓≎NaN=NaN","layer":1},{"info":"⪩⨒∯33323∼⪩⨒∯1012310=NaN","layer":3},{"info":"⪩⨒∯221320∌↝⪩⨒∯113222=⪩⨒∯0","layer":3},{"info":"NaN⫯⪬∳⪩⨒∯0=NaN","layer":2},{"info":"≤/⪩⨒∯223032=⪩⨒∯-203222","layer":3},{"info":"⪩⨒∯-203222⩘=⪩⨒∯1003","layer":2},{"info":"NaN⫸⇳⪩⨒∯1003=NaN","layer":1},{"info":"NaN≝⊿NaN=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"⨛((⋣$2389$)⫠)↺($6649$⋭≵$3976$)⩼⇪↪$2302$⇡⇂$2688$","expression":"⨛((⋣⪩⨒∯211111)⫠)↺(⪩⨒∯1213321⋭≵⪩⨒∯332020)⩼⇪↪⪩⨒∯203332⇡⇂⪩⨒∯222000","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17128,"operation_count":7,"complexity_ratio":2446.8571428571427,"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":2389,"base":4}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6649,"base":4},"right_expr":{"type":"numeric_atoms","value":3976,"base":4}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2302,"base":4},"right_expr":{"type":"numeric_atoms","value":2688,"base":4}}}}},"used_operators":["CoMdbyAt7R","7j4O788W3g","6SnOT2rOjz","zQWRhDnn8F","ocnLzx9CaJ","jBncVCNhdl","UMwdvZNt44"],"dependent_operators":["U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","rysDP5nf3Z","t8gj7n24qd","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2389","layer":4},{"info":"compute unary expreesion, input=2389, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-702271","layer":3},{"info":"compute unary expreesion, input=-702271, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"number node, value=6649","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=6649, right_input=3976, 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=2302","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=2302, right_input=2688, 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=67, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⨛((⋣⪩⨒∯211111)⫠)↺(⪩⨒∯1213321⋭≵⪩⨒∯332020)⩼⇪↪⪩⨒∯203332⇡⇂⪩⨒∯222000=NaN","reverse_text":"NaN=⨛((⋣⪩⨒∯211111)⫠)↺(⪩⨒∯1213321⋭≵⪩⨒∯332020)⩼⇪↪⪩⨒∯203332⇡⇂⪩⨒∯222000","cot":[{"info":"⋣⪩⨒∯211111=⪩⨒∯-2223130333","layer":3},{"info":"⪩⨒∯-2223130333⫠=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1213321⋭≵⪩⨒∯332020=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯203332⇡⇂⪩⨒∯222000=NaN","layer":3},{"info":"⪩⨒∯1003⩼⇪↪NaN=NaN","layer":2},{"info":"⪩⨒∯0↺NaN=NaN","layer":1},{"info":"⨛NaN=NaN","layer":0}]}
{"id":125,"expression_no_base_symbol":"($1654$⊔$8927$)⋹⋡⊁($1617$⋅⇍$2800$)⨟⋌⩍((⊀$2400$)∷($4600$⋻⩜⩜$1375$))+($1544$⨜⨶$5932$∣($5041$≀⩗∶$2732$))⪃⊛⇣($1284$⋾⨃∁$7920$⇀∌)","expression":"(⪩⨒∯121312⊔⪩⨒∯2023133)⋹⋡⊁(⪩⨒∯121101⋅⇍⪩⨒∯223300)⨟⋌⩍((⊀⪩⨒∯211200)∷(⪩⨒∯1013320⋻⩜⩜⪩⨒∯111133))+(⪩⨒∯120020⨜⨶⪩⨒∯1130230∣(⪩⨒∯1032301≀⩗∶⪩⨒∯222230))⪃⊛⇣(⪩⨒∯110010⋾⨃∁⪩⨒∯1323300⇀∌)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":12325365,"operation_count":14,"complexity_ratio":880383.2142857143,"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":1654,"base":4},"right_expr":{"type":"numeric_atoms","value":8927,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1617,"base":4},"right_expr":{"type":"numeric_atoms","value":2800,"base":4}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":2400,"base":4}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4600,"base":4},"right_expr":{"type":"numeric_atoms","value":1375,"base":4}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1544,"base":4},"right_expr":{"type":"numeric_atoms","value":5932,"base":4}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5041,"base":4},"right_expr":{"type":"numeric_atoms","value":2732,"base":4}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1284,"base":4},"right_expr":{"type":"numeric_atoms","value":7920,"base":4}}}}},"used_operators":["W4YGzv6Whe","rGHVDoGpnC","As8RqfVLgs","E4l6HwMY31","AdZkA7nFnk","D3AQDKkPcf","oPMjh9089D","oDCm7WA9JY","rrgAzCduG9","PPChnnnBFF","HiPekx5b7W","8INZBEW696","2k53nXOpI5","212REbPD9h"],"dependent_operators":["Tcnh7f0tEr","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9FxExcQeMw","NTOWxs364D","7j4O788W3g","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1654","layer":4},{"info":"number node, value=8927","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=8927, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=45543","layer":3},{"info":"number node, value=1617","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=2800, 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=45543, right_input=-22, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=364082","layer":2},{"info":"number node, value=2400","layer":4},{"info":"compute unary expreesion, input=2400, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=9338","layer":3},{"info":"number node, value=4600","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=4600, right_input=1375, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9200","layer":3},{"info":"compute binary expreesion, left_input=9338, right_input=9200, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=9200","layer":2},{"info":"compute binary expreesion, left_input=364082, right_input=9200, 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":"number node, value=1544","layer":4},{"info":"number node, value=5932","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=5932, 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=-11608","layer":3},{"info":"number node, value=5041","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=5041, right_input=2732, 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=-11608, right_input=0, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=12092","layer":2},{"info":"number node, value=1284","layer":4},{"info":"number node, value=7920","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=7920, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=627168866","layer":3},{"info":"compute unary expreesion, input=627168866, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=12092, right_input=113, 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=nan, right_input=1234, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯121312⊔⪩⨒∯2023133)⋹⋡⊁(⪩⨒∯121101⋅⇍⪩⨒∯223300)⨟⋌⩍((⊀⪩⨒∯211200)∷(⪩⨒∯1013320⋻⩜⩜⪩⨒∯111133))+(⪩⨒∯120020⨜⨶⪩⨒∯1130230∣(⪩⨒∯1032301≀⩗∶⪩⨒∯222230))⪃⊛⇣(⪩⨒∯110010⋾⨃∁⪩⨒∯1323300⇀∌)=NaN","reverse_text":"NaN=(⪩⨒∯121312⊔⪩⨒∯2023133)⋹⋡⊁(⪩⨒∯121101⋅⇍⪩⨒∯223300)⨟⋌⩍((⊀⪩⨒∯211200)∷(⪩⨒∯1013320⋻⩜⩜⪩⨒∯111133))+(⪩⨒∯120020⨜⨶⪩⨒∯1130230∣(⪩⨒∯1032301≀⩗∶⪩⨒∯222230))⪃⊛⇣(⪩⨒∯110010⋾⨃∁⪩⨒∯1323300⇀∌)","cot":[{"info":"⪩⨒∯121312⊔⪩⨒∯2023133=⪩⨒∯23013213","layer":3},{"info":"⪩⨒∯121101⋅⇍⪩⨒∯223300=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯23013213⋹⋡⊁⪩⨒∯-112=⪩⨒∯1120320302","layer":2},{"info":"⊀⪩⨒∯211200=⪩⨒∯2101322","layer":3},{"info":"⪩⨒∯1013320⋻⩜⩜⪩⨒∯111133=⪩⨒∯2033300","layer":3},{"info":"⪩⨒∯2101322∷⪩⨒∯2033300=⪩⨒∯2033300","layer":2},{"info":"⪩⨒∯1120320302⨟⋌⩍⪩⨒∯2033300=NaN","layer":1},{"info":"⪩⨒∯120020⨜⨶⪩⨒∯1130230=⪩⨒∯-2311120","layer":3},{"info":"⪩⨒∯1032301≀⩗∶⪩⨒∯222230=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2311120∣⪩⨒∯0=⪩⨒∯2330330","layer":2},{"info":"⪩⨒∯110010⋾⨃∁⪩⨒∯1323300=⪩⨒∯211120131121202","layer":3},{"info":"⪩⨒∯211120131121202⇀∌=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯2330330⪃⊛⇣⪩⨒∯1301=⪩⨒∯103102","layer":1},{"info":"NaN+⪩⨒∯103102=NaN","layer":0}]}
{"id":126,"expression_no_base_symbol":"(($8655$≎⊠⪸$4673$)⇷($6611$∖$2140$))⫁⪎((∡$1703$)⪡(⩩$5779$))∠↢(∤(⪹$2857$⨑⩅≇$1181$))","expression":"((⪩⨒∯2013033≎⊠⪸⪩⨒∯1021001)⇷(⪩⨒∯1213103∖⪩⨒∯201130))⫁⪎((∡⪩⨒∯122213)⪡(⩩⪩⨒∯1122103))∠↢(∤(⪹⪩⨒∯230221⨑⩅≇⪩⨒∯102131))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8627,"operation_count":11,"complexity_ratio":784.2727272727273,"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":8655,"base":4},"right_expr":{"type":"numeric_atoms","value":4673,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6611,"base":4},"right_expr":{"type":"numeric_atoms","value":2140,"base":4}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1703,"base":4}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":5779,"base":4}}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2857,"base":4},"right_expr":{"type":"numeric_atoms","value":1181,"base":4}}}}},"used_operators":["KbjG8mgYpV","xRrnTEsQ6j","mp7IySMOzn","bJkvcejdHO","tXD093vOjl","oraRL2iQuh","pRsWfj4Fpp","kMhfGuqI2H","k2HlF1dBQh","USyYr0JgAa","h92wMvzauj"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","tifHPKVTfV","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⪩⨒∯10200110","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8655","layer":4},{"info":"number node, value=4673","layer":4},{"info":"compute binary expreesion, left_input=8655, right_input=4673, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2241172","layer":3},{"info":"number node, value=6611","layer":4},{"info":"number node, value=2140","layer":4},{"info":"compute binary expreesion, left_input=6611, right_input=2140, 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=2241172, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1703","layer":3},{"info":"number node, value=5779","layer":4},{"info":"compute unary expreesion, input=5779, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1703, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=4374","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4374, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-4374","layer":1},{"info":"number node, value=2857","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=1181, 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=-8571","layer":3},{"info":"compute unary expreesion, input=-8571, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=8751","layer":2},{"info":"compute unary expreesion, input=8751, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=-4374, right_input=9, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=18452","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯2013033≎⊠⪸⪩⨒∯1021001)⇷(⪩⨒∯1213103∖⪩⨒∯201130))⫁⪎((∡⪩⨒∯122213)⪡(⩩⪩⨒∯1122103))∠↢(∤(⪹⪩⨒∯230221⨑⩅≇⪩⨒∯102131))=⪩⨒∯10200110","reverse_text":"⪩⨒∯10200110=((⪩⨒∯2013033≎⊠⪸⪩⨒∯1021001)⇷(⪩⨒∯1213103∖⪩⨒∯201130))⫁⪎((∡⪩⨒∯122213)⪡(⩩⪩⨒∯1122103))∠↢(∤(⪹⪩⨒∯230221⨑⩅≇⪩⨒∯102131))","cot":[{"info":"⪩⨒∯2013033≎⊠⪸⪩⨒∯1021001=⪩⨒∯20203022110","layer":3},{"info":"⪩⨒∯1213103∖⪩⨒∯201130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯20203022110⇷⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"∡⪩⨒∯122213=⪩⨒∯-122213","layer":3},{"info":"⩩⪩⨒∯1122103=NaN","layer":3},{"info":"⪩⨒∯-122213⪡NaN=⪩⨒∯1010112","layer":2},{"info":"⪩⨒∯0⫁⪎⪩⨒∯1010112=⪩⨒∯-1010112","layer":1},{"info":"⪩⨒∯230221⨑⩅≇⪩⨒∯102131=⪩⨒∯-2011323","layer":3},{"info":"⪹⪩⨒∯-2011323=⪩⨒∯2020233","layer":2},{"info":"∤⪩⨒∯2020233=⪩⨒∯21","layer":1},{"info":"⪩⨒∯-1010112∠↢⪩⨒∯21=⪩⨒∯10200110","layer":0}]}
{"id":127,"expression_no_base_symbol":"(⪓⩚($8311$⪛⫼$1214$)⊬⨰($1275$∣$3337$))⊢(($6347$⪘⨀)↳≱(≅≯⇸$6549$)⊴(↡($2817$⫥∨⫟$8838$)))","expression":"(⪓⩚(⪩⨒∯2001313⪛⫼⪩⨒∯102332)⊬⨰(⪩⨒∯103323∣⪩⨒∯310021))⊢((⪩⨒∯1203023⪘⨀)↳≱(≅≯⇸⪩⨒∯1212111)⊴(↡(⪩⨒∯230001⫥∨⫟⪩⨒∯2022012)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3941,"operation_count":11,"complexity_ratio":358.27272727272725,"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":8311,"base":4},"right_expr":{"type":"numeric_atoms","value":1214,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1275,"base":4},"right_expr":{"type":"numeric_atoms","value":3337,"base":4}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":6347,"base":4}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":6549,"base":4}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2817,"base":4},"right_expr":{"type":"numeric_atoms","value":8838,"base":4}}}}},"used_operators":["5twsqlHp2o","u0R0Locfp2","s3Fd5m9Dh2","hyuBjUqXlG","PPChnnnBFF","Nsiff2A1zJ","JwTKLfZU96","aA7tF3KVD3","apS25hmuAe","MXaNJeIAZ3","KYD54nUTWz"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","EBcxylXtPf","QMFrweE19q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⪩⨒∯-101020","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8311","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=8311, right_input=1214, 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=1275","layer":4},{"info":"number node, value=3337","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=3337, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1275","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=1275, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5012","layer":2},{"info":"compute unary expreesion, input=5012, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=6347","layer":4},{"info":"compute unary expreesion, input=6347, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-13275","layer":3},{"info":"number node, value=6549","layer":4},{"info":"compute unary expreesion, input=6549, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=33873","layer":3},{"info":"compute binary expreesion, left_input=-13275, right_input=33873, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=2817","layer":4},{"info":"number node, value=8838","layer":4},{"info":"compute binary expreesion, left_input=2817, right_input=8838, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=426, 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=-1096","layer":0}],"base":4,"result_base":4,"text":"(⪓⩚(⪩⨒∯2001313⪛⫼⪩⨒∯102332)⊬⨰(⪩⨒∯103323∣⪩⨒∯310021))⊢((⪩⨒∯1203023⪘⨀)↳≱(≅≯⇸⪩⨒∯1212111)⊴(↡(⪩⨒∯230001⫥∨⫟⪩⨒∯2022012)))=⪩⨒∯-101020","reverse_text":"⪩⨒∯-101020=(⪓⩚(⪩⨒∯2001313⪛⫼⪩⨒∯102332)⊬⨰(⪩⨒∯103323∣⪩⨒∯310021))⊢((⪩⨒∯1203023⪘⨀)↳≱(≅≯⇸⪩⨒∯1212111)⊴(↡(⪩⨒∯230001⫥∨⫟⪩⨒∯2022012)))","cot":[{"info":"⪩⨒∯2001313⪛⫼⪩⨒∯102332=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯103323∣⪩⨒∯310021=⪩⨒∯103323","layer":3},{"info":"⪩⨒∯33020⊬⨰⪩⨒∯103323=⪩⨒∯1032110","layer":2},{"info":"⪓⩚⪩⨒∯1032110=⪩⨒∯12222","layer":1},{"info":"⪩⨒∯1203023⪘⨀=⪩⨒∯-3033123","layer":3},{"info":"≅≯⇸⪩⨒∯1212111=⪩⨒∯20101101","layer":3},{"info":"⪩⨒∯-3033123↳≱⪩⨒∯20101101=⪩⨒∯0","layer":2},{"info":"⪩⨒∯230001⫥∨⫟⪩⨒∯2022012=NaN","layer":3},{"info":"↡NaN=NaN","layer":2},{"info":"⪩⨒∯0⊴NaN=NaN","layer":1},{"info":"⪩⨒∯12222⊢NaN=⪩⨒∯-101020","layer":0}]}
{"id":128,"expression_no_base_symbol":"(⇺⋃((≘$1843$)≬⇓$9912$⨼⩣$1346$))⊫∞","expression":"(⇺⋃((≘⪩⨒∯130303)≬⇓⪩⨒∯2122320⨼⩣⪩⨒∯111002))⊫∞","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23793,"operation_count":5,"complexity_ratio":4758.6,"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":1843,"base":4}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":9912,"base":4},"right_expr":{"type":"numeric_atoms","value":1346,"base":4}}}}},"used_operators":["pABnYW3G3E","E5v5B3UAjG","jWTQ2TZYIH","tcjXMdvYtA","JxwMv5le6e"],"dependent_operators":["fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=4064599","layer":3},{"info":"number node, value=9912","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=9912, right_input=1346, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4064599, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-4065172","layer":2},{"info":"compute unary expreesion, input=-4065172, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', 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":4,"result_base":4,"text":"(⇺⋃((≘⪩⨒∯130303)≬⇓⪩⨒∯2122320⨼⩣⪩⨒∯111002))⊫∞=NaN","reverse_text":"NaN=(⇺⋃((≘⪩⨒∯130303)≬⇓⪩⨒∯2122320⨼⩣⪩⨒∯111002))⊫∞","cot":[{"info":"≘⪩⨒∯130303=⪩⨒∯33200111113","layer":3},{"info":"⪩⨒∯2122320⨼⩣⪩⨒∯111002=NaN","layer":3},{"info":"⪩⨒∯33200111113≬⇓NaN=⪩⨒∯-33200132110","layer":2},{"info":"⇺⋃⪩⨒∯-33200132110=NaN","layer":1},{"info":"NaN⊫∞=NaN","layer":0}]}
{"id":129,"expression_no_base_symbol":"≑⋹((($3524$⫌⩉⩟$2373$)⫠↝⫳)%$4808$⇴$1034$∠↢($5703$⩺⋐⫨))","expression":"≑⋹(((⪩⨒∯313010⫌⩉⩟⪩⨒∯211011)⫠↝⫳)%⪩⨒∯1023020⇴⪩⨒∯100022∠↢(⪩⨒∯1121013⩺⋐⫨))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":14799,"operation_count":7,"complexity_ratio":2114.1428571428573,"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":3524,"base":4},"right_expr":{"type":"numeric_atoms","value":2373,"base":4}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4808,"base":4},"right_expr":{"type":"numeric_atoms","value":1034,"base":4}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":5703,"base":4}}}}},"used_operators":["6B9nyZLogK","k8jYdgA6NY","8n5YIzOsVS","XIIwhv8d0m","KbjG8mgYpV","4JB6nKBMSY","yS9ePUuUdn"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","sdazOOVcIp","NTOWxs364D","COABgblf1C","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr"],"result":"⪩⨒∯-23332","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3524","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=3524, right_input=2373, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-977","layer":2},{"info":"number node, value=4808","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=4808, right_input=1034, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=30530","layer":3},{"info":"number node, value=5703","layer":4},{"info":"compute unary expreesion, input=5703, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=30530, 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=-121038","layer":2},{"info":"compute binary expreesion, left_input=-977, right_input=-121038, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-977","layer":1},{"info":"compute unary expreesion, input=-977, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":0}],"base":4,"result_base":4,"text":"≑⋹(((⪩⨒∯313010⫌⩉⩟⪩⨒∯211011)⫠↝⫳)%⪩⨒∯1023020⇴⪩⨒∯100022∠↢(⪩⨒∯1121013⩺⋐⫨))=⪩⨒∯-23332","reverse_text":"⪩⨒∯-23332=≑⋹(((⪩⨒∯313010⫌⩉⩟⪩⨒∯211011)⫠↝⫳)%⪩⨒∯1023020⇴⪩⨒∯100022∠↢(⪩⨒∯1121013⩺⋐⫨))","cot":[{"info":"⪩⨒∯313010⫌⩉⩟⪩⨒∯211011=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯-302⫠↝⫳=⪩⨒∯-33101","layer":2},{"info":"⪩⨒∯1023020⇴⪩⨒∯100022=⪩⨒∯13131002","layer":3},{"info":"⪩⨒∯1121013⩺⋐⫨=⪩⨒∯0","layer":3},{"info":"⪩⨒∯13131002∠↢⪩⨒∯0=⪩⨒∯-131203032","layer":2},{"info":"⪩⨒∯-33101%⪩⨒∯-131203032=⪩⨒∯-33101","layer":1},{"info":"≑⋹⪩⨒∯-33101=⪩⨒∯-23332","layer":0}]}
{"id":130,"expression_no_base_symbol":"($1468$∘$1291$≠≀(⫓⪴$4313$))∘($6067$⨜⨶$3523$)≁(∓$2145$)⩒⫫(($1552$≴⪞⇿$1950$⫠↝⫳)⨉)","expression":"(⪩⨒∯112330∘⪩⨒∯110023≠≀(⫓⪴⪩⨒∯1003121))∘(⪩⨒∯1132303⨜⨶⪩⨒∯313003)≁(∓⪩⨒∯201201)⩒⫫((⪩⨒∯120100≴⪞⇿⪩⨒∯132132⫠↝⫳)⨉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5945,"operation_count":11,"complexity_ratio":540.4545454545455,"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":1468,"base":4},"right_expr":{"type":"numeric_atoms","value":1291,"base":4}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4313,"base":4}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6067,"base":4},"right_expr":{"type":"numeric_atoms","value":3523,"base":4}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2145,"base":4}}}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1552,"base":4},"right_expr":{"type":"numeric_atoms","value":1950,"base":4}}}}},"used_operators":["KFSx94NKJn","Z5m6OM72h2","IwW236VD4Y","eLxqMNBOBk","8N2wDY1A35","HiPekx5b7W","OwUj7dcsQK","aMUSaJuDRU","8n5YIzOsVS","lvlrscuwVU"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eH2TOUuTDT","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9HNa5Wba9A","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1468","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=1291, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2936","layer":3},{"info":"number node, value=4313","layer":4},{"info":"compute unary expreesion, input=4313, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=18601969","layer":3},{"info":"compute binary expreesion, left_input=2936, right_input=18601969, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-5566","layer":2},{"info":"number node, value=6067","layer":4},{"info":"number node, value=3523","layer":4},{"info":"compute binary expreesion, left_input=6067, right_input=3523, 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=-6790","layer":3},{"info":"number node, value=2145","layer":4},{"info":"compute unary expreesion, input=2145, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-37047","layer":3},{"info":"compute binary expreesion, left_input=-6790, right_input=-37047, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-1047805","layer":2},{"info":"compute binary expreesion, left_input=-5566, right_input=-1047805, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5946","layer":1},{"info":"number node, value=1552","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=1950, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=3271916","layer":3},{"info":"compute unary expreesion, input=3271916, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=104701935","layer":2},{"info":"compute unary expreesion, input=104701935, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5946, 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":4,"result_base":4,"text":"(⪩⨒∯112330∘⪩⨒∯110023≠≀(⫓⪴⪩⨒∯1003121))∘(⪩⨒∯1132303⨜⨶⪩⨒∯313003)≁(∓⪩⨒∯201201)⩒⫫((⪩⨒∯120100≴⪞⇿⪩⨒∯132132⫠↝⫳)⨉)=NaN","reverse_text":"NaN=(⪩⨒∯112330∘⪩⨒∯110023≠≀(⫓⪴⪩⨒∯1003121))∘(⪩⨒∯1132303⨜⨶⪩⨒∯313003)≁(∓⪩⨒∯201201)⩒⫫((⪩⨒∯120100≴⪞⇿⪩⨒∯132132⫠↝⫳)⨉)","cot":[{"info":"⪩⨒∯112330∘⪩⨒∯110023=⪩⨒∯231320","layer":3},{"info":"⫓⪴⪩⨒∯1003121=⪩⨒∯1012331133301","layer":3},{"info":"⪩⨒∯231320≠≀⪩⨒∯1012331133301=⪩⨒∯-1112332","layer":2},{"info":"⪩⨒∯1132303⨜⨶⪩⨒∯313003=⪩⨒∯-1222012","layer":3},{"info":"∓⪩⨒∯201201=⪩⨒∯-21002313","layer":3},{"info":"⪩⨒∯-1222012≁⪩⨒∯-21002313=⪩⨒∯-3333303331","layer":2},{"info":"⪩⨒∯-1112332∘⪩⨒∯-3333303331=⪩⨒∯1130322","layer":1},{"info":"⪩⨒∯120100≴⪞⇿⪩⨒∯132132=⪩⨒∯30132303230","layer":3},{"info":"⪩⨒∯30132303230⫠↝⫳=⪩⨒∯12033121333233","layer":2},{"info":"⪩⨒∯12033121333233⨉=NaN","layer":1},{"info":"⪩⨒∯1130322⩒⫫NaN=NaN","layer":0}]}
{"id":131,"expression_no_base_symbol":"(($4996$⫲≸⪮$5968$⋅⇍($1743$⫦⪉$1760$))∋(($2647$∷$1900$)≎⊠⪸(⨙⪌$4532$)))≎⪠((⋂(⊊≼∋$5806$))↓($2236$⋾⨃∁$2692$)⊮⊟↴($1194$⫦⪉$6074$))","expression":"((⪩⨒∯1032010⫲≸⪮⪩⨒∯1131100⋅⇍(⪩⨒∯123033⫦⪉⪩⨒∯123200))∋((⪩⨒∯221113∷⪩⨒∯131230)≎⊠⪸(⨙⪌⪩⨒∯1012310)))≎⪠((⋂(⊊≼∋⪩⨒∯1122232))↓(⪩⨒∯202330⋾⨃∁⪩⨒∯222010)⊮⊟↴(⪩⨒∯102222⫦⪉⪩⨒∯1132322))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":34337,"operation_count":14,"complexity_ratio":2452.6428571428573,"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":4996,"base":4},"right_expr":{"type":"numeric_atoms","value":5968,"base":4}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1743,"base":4},"right_expr":{"type":"numeric_atoms","value":1760,"base":4}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2647,"base":4},"right_expr":{"type":"numeric_atoms","value":1900,"base":4}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":4532,"base":4}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":5806,"base":4}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2236,"base":4},"right_expr":{"type":"numeric_atoms","value":2692,"base":4}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1194,"base":4},"right_expr":{"type":"numeric_atoms","value":6074,"base":4}}}}},"used_operators":["aNhz54LH3e","ukq6epAj5P","AdZkA7nFnk","P3lXMJvFrc","wscyQdcy20","bJkvcejdHO","D3AQDKkPcf","vEGLkm4Z2k","Af076pWI7l","BUOGQAYlQx","FWz7pXsQhA","QDVgd2eftb","212REbPD9h"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","NTOWxs364D","7j4O788W3g","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","B5M0gjZbta","jCPkEVoL5K","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⪩⨒∯10301212","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4996","layer":4},{"info":"number node, value=5968","layer":4},{"info":"compute binary expreesion, left_input=4996, right_input=5968, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4996","layer":3},{"info":"number node, value=1743","layer":4},{"info":"number node, value=1760","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=1760, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1414","layer":3},{"info":"compute binary expreesion, left_input=4996, right_input=1414, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=2647","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=2647, right_input=1900, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1900","layer":3},{"info":"number node, value=4532","layer":4},{"info":"compute unary expreesion, input=4532, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1900, right_input=868, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=491627","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=491627, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=1018596328","layer":1},{"info":"number node, value=5806","layer":4},{"info":"compute unary expreesion, input=5806, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=6854","layer":2},{"info":"number node, value=2236","layer":4},{"info":"number node, value=2692","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=2692, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=72436242","layer":3},{"info":"number node, value=1194","layer":4},{"info":"number node, value=6074","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=6074, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2512","layer":3},{"info":"compute binary expreesion, left_input=72436242, right_input=2512, 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=6854, right_input=0, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-242","layer":1},{"info":"compute binary expreesion, left_input=1018596328, right_input=-242, op_id = aNhz54LH3e binary_op_definition= 'a≎⪠b = { (((a⫥∨⫟11)≦↸(657∣a))⩘((⇈a)≬⋮(a↰))) , if a==21 ; (∟⋨(⋂(⨣⨃⇪b))) , else }', output=19558","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1032010⫲≸⪮⪩⨒∯1131100⋅⇍(⪩⨒∯123033⫦⪉⪩⨒∯123200))∋((⪩⨒∯221113∷⪩⨒∯131230)≎⊠⪸(⨙⪌⪩⨒∯1012310)))≎⪠((⋂(⊊≼∋⪩⨒∯1122232))↓(⪩⨒∯202330⋾⨃∁⪩⨒∯222010)⊮⊟↴(⪩⨒∯102222⫦⪉⪩⨒∯1132322))=⪩⨒∯10301212","reverse_text":"⪩⨒∯10301212=((⪩⨒∯1032010⫲≸⪮⪩⨒∯1131100⋅⇍(⪩⨒∯123033⫦⪉⪩⨒∯123200))∋((⪩⨒∯221113∷⪩⨒∯131230)≎⊠⪸(⨙⪌⪩⨒∯1012310)))≎⪠((⋂(⊊≼∋⪩⨒∯1122232))↓(⪩⨒∯202330⋾⨃∁⪩⨒∯222010)⊮⊟↴(⪩⨒∯102222⫦⪉⪩⨒∯1132322))","cot":[{"info":"⪩⨒∯1032010⫲≸⪮⪩⨒∯1131100=⪩⨒∯1032010","layer":3},{"info":"⪩⨒∯123033⫦⪉⪩⨒∯123200=⪩⨒∯112012","layer":3},{"info":"⪩⨒∯1032010⋅⇍⪩⨒∯112012=⪩⨒∯-112","layer":2},{"info":"⪩⨒∯221113∷⪩⨒∯131230=⪩⨒∯131230","layer":3},{"info":"⨙⪌⪩⨒∯1012310=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯131230≎⊠⪸⪩⨒∯31210=⪩⨒∯1320001223","layer":2},{"info":"⪩⨒∯-112∋⪩⨒∯1320001223=⪩⨒∯330231220233220","layer":1},{"info":"⊊≼∋⪩⨒∯1122232=⪩⨒∯-12333","layer":3},{"info":"⋂⪩⨒∯-12333=⪩⨒∯1223012","layer":2},{"info":"⪩⨒∯202330⋾⨃∁⪩⨒∯222010=⪩⨒∯10110110220102","layer":3},{"info":"⪩⨒∯102222⫦⪉⪩⨒∯1132322=⪩⨒∯213100","layer":3},{"info":"⪩⨒∯10110110220102⊮⊟↴⪩⨒∯213100=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1223012↓⪩⨒∯0=⪩⨒∯-3302","layer":1},{"info":"⪩⨒∯330231220233220≎⪠⪩⨒∯-3302=⪩⨒∯10301212","layer":0}]}
{"id":132,"expression_no_base_symbol":"∂⩏⊆((⇨$1074$)-$8807$↳≱$4613$)↢((⇜⊴$1232$)⇤($3418$⋝⋈⪟$1211$))","expression":"∂⩏⊆((⇨⪩⨒∯100302)-⪩⨒∯2021213↳≱⪩⨒∯1020011)↢((⇜⊴⪩⨒∯103100)⇤(⪩⨒∯311122⋝⋈⪟⪩⨒∯102323))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":198,"operation_count":8,"complexity_ratio":24.75,"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":1074,"base":4}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":8807,"base":4},"right_expr":{"type":"numeric_atoms","value":4613,"base":4}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1232,"base":4}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3418,"base":4},"right_expr":{"type":"numeric_atoms","value":1211,"base":4}}}}},"used_operators":["8WDwsbhb0R","WR6HLWljOP","rysDP5nf3Z","G9tJMlZ94a","JwTKLfZU96","YSKBFp38Pu","XwDhCwWbUn","2DDjHMKMc0"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","k8jYdgA6NY","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯33020","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"compute unary expreesion, input=1074, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=8807","layer":4},{"info":"number node, value=4613","layer":4},{"info":"compute binary expreesion, left_input=8807, right_input=4613, 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 = rysDP5nf3Z binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1232","layer":4},{"info":"compute unary expreesion, input=1232, 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=-277038","layer":3},{"info":"number node, value=3418","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=3418, right_input=1211, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3418","layer":3},{"info":"compute binary expreesion, left_input=-277038, right_input=3418, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=1370948","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1370948, 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 unary expreesion, input=-484, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=968","layer":0}],"base":4,"result_base":4,"text":"∂⩏⊆((⇨⪩⨒∯100302)-⪩⨒∯2021213↳≱⪩⨒∯1020011)↢((⇜⊴⪩⨒∯103100)⇤(⪩⨒∯311122⋝⋈⪟⪩⨒∯102323))=⪩⨒∯33020","reverse_text":"⪩⨒∯33020=∂⩏⊆((⇨⪩⨒∯100302)-⪩⨒∯2021213↳≱⪩⨒∯1020011)↢((⇜⊴⪩⨒∯103100)⇤(⪩⨒∯311122⋝⋈⪟⪩⨒∯102323))","cot":[{"info":"⇨⪩⨒∯100302=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2021213↳≱⪩⨒∯1020011=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0-⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⇜⊴⪩⨒∯103100=⪩⨒∯-1003220232","layer":3},{"info":"⪩⨒∯311122⋝⋈⪟⪩⨒∯102323=⪩⨒∯311122","layer":3},{"info":"⪩⨒∯-1003220232⇤⪩⨒∯311122=⪩⨒∯11032231010","layer":2},{"info":"⪩⨒∯0↢⪩⨒∯11032231010=⪩⨒∯-13210","layer":1},{"info":"∂⩏⊆⪩⨒∯-13210=⪩⨒∯33020","layer":0}]}
{"id":133,"expression_no_base_symbol":"$1731$↤⩊$1065$⨰($3370$⨎$6930$)⩚⊴⇥(($1279$⊊)≭($2791$⊜))⩚⊴⇥(($1264$↡⊰⫅$1346$)⫗⊷⫓($3462$⨸⪁$1029$)⨭⪣$1873$↞⋁$3647$⋹⋡⊁($3405$∌$4960$))","expression":"⪩⨒∯123003↤⩊⪩⨒∯100221⨰(⪩⨒∯310222⨎⪩⨒∯1230102)⩚⊴⇥((⪩⨒∯103333⊊)≭(⪩⨒∯223213⊜))⩚⊴⇥((⪩⨒∯103300↡⊰⫅⪩⨒∯111002)⫗⊷⫓(⪩⨒∯312012⨸⪁⪩⨒∯100011)⨭⪣⪩⨒∯131101↞⋁⪩⨒∯320333⋹⋡⊁(⪩⨒∯311031∌⪩⨒∯1031200))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20172,"operation_count":15,"complexity_ratio":1344.8,"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":1731,"base":4},"right_expr":{"type":"numeric_atoms","value":1065,"base":4}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3370,"base":4},"right_expr":{"type":"numeric_atoms","value":6930,"base":4}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":1279,"base":4}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":2791,"base":4}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1264,"base":4},"right_expr":{"type":"numeric_atoms","value":1346,"base":4}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3462,"base":4},"right_expr":{"type":"numeric_atoms","value":1029,"base":4}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1873,"base":4},"right_expr":{"type":"numeric_atoms","value":3647,"base":4}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3405,"base":4},"right_expr":{"type":"numeric_atoms","value":4960,"base":4}}}}},"used_operators":["NTOWxs364D","eewbuw0ToL","13rbtpv6ld","rJVOvQCfKK","rxpJgHHUmx","W9R8I5fN5A","Eev2Q7dYIw","kn8WO9XteQ","zashukvMKz","VCtxkLNOzz","g55IO6H4Gj","As8RqfVLgs","RqrPlJkxDo","8cLx32lpNA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1731","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=1065, 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=3370","layer":4},{"info":"number node, value=6930","layer":4},{"info":"compute binary expreesion, left_input=3370, right_input=6930, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6930","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6930, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=1279","layer":4},{"info":"compute unary expreesion, input=1279, 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=2791","layer":4},{"info":"compute unary expreesion, input=2791, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-9428","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=-9428, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1264","layer":4},{"info":"number node, value=1346","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1346, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2692","layer":3},{"info":"number node, value=3462","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=3462, right_input=1029, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8982","layer":3},{"info":"compute binary expreesion, left_input=2692, right_input=8982, 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=1873","layer":4},{"info":"number node, value=3647","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=3647, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3405","layer":4},{"info":"number node, value=4960","layer":4},{"info":"compute binary expreesion, left_input=3405, right_input=4960, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4960","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4960, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, 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=nan, right_input=-21, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯123003↤⩊⪩⨒∯100221⨰(⪩⨒∯310222⨎⪩⨒∯1230102)⩚⊴⇥((⪩⨒∯103333⊊)≭(⪩⨒∯223213⊜))⩚⊴⇥((⪩⨒∯103300↡⊰⫅⪩⨒∯111002)⫗⊷⫓(⪩⨒∯312012⨸⪁⪩⨒∯100011)⨭⪣⪩⨒∯131101↞⋁⪩⨒∯320333⋹⋡⊁(⪩⨒∯311031∌⪩⨒∯1031200))=NaN","reverse_text":"NaN=⪩⨒∯123003↤⩊⪩⨒∯100221⨰(⪩⨒∯310222⨎⪩⨒∯1230102)⩚⊴⇥((⪩⨒∯103333⊊)≭(⪩⨒∯223213⊜))⩚⊴⇥((⪩⨒∯103300↡⊰⫅⪩⨒∯111002)⫗⊷⫓(⪩⨒∯312012⨸⪁⪩⨒∯100011)⨭⪣⪩⨒∯131101↞⋁⪩⨒∯320333⋹⋡⊁(⪩⨒∯311031∌⪩⨒∯1031200))","cot":[{"info":"⪩⨒∯123003↤⩊⪩⨒∯100221=NaN","layer":3},{"info":"⪩⨒∯310222⨎⪩⨒∯1230102=⪩⨒∯1230102","layer":3},{"info":"NaN⨰⪩⨒∯1230102=NaN","layer":2},{"info":"⪩⨒∯103333⊊=⪩⨒∯112030233","layer":3},{"info":"⪩⨒∯223213⊜=⪩⨒∯-2103110","layer":3},{"info":"⪩⨒∯112030233≭⪩⨒∯-2103110=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⪩⨒∯103300↡⊰⫅⪩⨒∯111002=⪩⨒∯222010","layer":3},{"info":"⪩⨒∯312012⨸⪁⪩⨒∯100011=⪩⨒∯2030112","layer":3},{"info":"⪩⨒∯222010⫗⊷⫓⪩⨒∯2030112=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯131101↞⋁⪩⨒∯320333=NaN","layer":3},{"info":"⪩⨒∯311031∌⪩⨒∯1031200=⪩⨒∯-1031200","layer":3},{"info":"NaN⋹⋡⊁⪩⨒∯-1031200=NaN","layer":2},{"info":"⪩⨒∯-2012⨭⪣NaN=⪩⨒∯-111","layer":1},{"info":"NaN⩚⊴⇥⪩⨒∯-111=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"(($1100$⪢$1133$)⩌⋺(↽≂$2064$)⊭↱(⇋⊎⋝($6330$⨫⇇↔$1020$)))⪢(($1122$↱$5163$)→⨶⪴(≋$2980$))⨼⩣($1296$+$7293$)⩁⩘($3915$-$1479$)","expression":"((⪩⨒∯101030⪢⪩⨒∯101231)⩌⋺(↽≂⪩⨒∯200100)⊭↱(⇋⊎⋝(⪩⨒∯1202322⨫⇇↔⪩⨒∯33330)))⪢((⪩⨒∯101202↱⪩⨒∯1100223)→⨶⪴(≋⪩⨒∯232210))⨼⩣(⪩⨒∯110100+⪩⨒∯1301331)⩁⩘(⪩⨒∯331023-⪩⨒∯113013)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2157,"operation_count":14,"complexity_ratio":154.07142857142858,"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":1100,"base":4},"right_expr":{"type":"numeric_atoms","value":1133,"base":4}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2064,"base":4}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":6330,"base":4},"right_expr":{"type":"numeric_atoms","value":1020,"base":4}}}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1122,"base":4},"right_expr":{"type":"numeric_atoms","value":5163,"base":4}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":2980,"base":4}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1296,"base":4},"right_expr":{"type":"numeric_atoms","value":7293,"base":4}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3915,"base":4},"right_expr":{"type":"numeric_atoms","value":1479,"base":4}}}}},"used_operators":["dWAJyo7jo9","COABgblf1C","g7Hmc5v1ko","u6S6b8DprG","CzM2PEoXns","LXhwmt4mBO","JxwMv5le6e","bF6eod5Gvf","SR5kFfdi6N","61wBmkZwlr","gub5Cegaqo","W4YGzv6Whe","rysDP5nf3Z"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","8w2t5hMYqp","9FxExcQeMw","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","7j4O788W3g","DpFCA1CohY","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=1133, 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=2064","layer":4},{"info":"compute unary expreesion, input=2064, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4128","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4128, 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":"number node, value=6330","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=6330, right_input=1020, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1122","layer":4},{"info":"number node, value=5163","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=5163, 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=-14967","layer":3},{"info":"number node, value=2980","layer":4},{"info":"compute unary expreesion, input=2980, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=2980","layer":3},{"info":"compute binary expreesion, left_input=-14967, right_input=2980, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-8940","layer":2},{"info":"number node, value=1296","layer":4},{"info":"number node, value=7293","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=7293, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8589","layer":3},{"info":"number node, value=3915","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=1479, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2436","layer":3},{"info":"compute binary expreesion, left_input=8589, right_input=2436, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10692","layer":2},{"info":"compute binary expreesion, left_input=-8940, right_input=10692, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯101030⪢⪩⨒∯101231)⩌⋺(↽≂⪩⨒∯200100)⊭↱(⇋⊎⋝(⪩⨒∯1202322⨫⇇↔⪩⨒∯33330)))⪢((⪩⨒∯101202↱⪩⨒∯1100223)→⨶⪴(≋⪩⨒∯232210))⨼⩣(⪩⨒∯110100+⪩⨒∯1301331)⩁⩘(⪩⨒∯331023-⪩⨒∯113013)=NaN","reverse_text":"NaN=((⪩⨒∯101030⪢⪩⨒∯101231)⩌⋺(↽≂⪩⨒∯200100)⊭↱(⇋⊎⋝(⪩⨒∯1202322⨫⇇↔⪩⨒∯33330)))⪢((⪩⨒∯101202↱⪩⨒∯1100223)→⨶⪴(≋⪩⨒∯232210))⨼⩣(⪩⨒∯110100+⪩⨒∯1301331)⩁⩘(⪩⨒∯331023-⪩⨒∯113013)","cot":[{"info":"⪩⨒∯101030⪢⪩⨒∯101231=NaN","layer":3},{"info":"↽≂⪩⨒∯200100=⪩⨒∯-1000200","layer":3},{"info":"NaN⩌⋺⪩⨒∯-1000200=NaN","layer":2},{"info":"⪩⨒∯1202322⨫⇇↔⪩⨒∯33330=⪩⨒∯-20033","layer":3},{"info":"⇋⊎⋝⪩⨒∯-20033=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"⪩⨒∯101202↱⪩⨒∯1100223=⪩⨒∯-3221313","layer":3},{"info":"≋⪩⨒∯232210=⪩⨒∯232210","layer":3},{"info":"⪩⨒∯-3221313→⨶⪴⪩⨒∯232210=⪩⨒∯-2023230","layer":2},{"info":"⪩⨒∯110100+⪩⨒∯1301331=⪩⨒∯2012031","layer":3},{"info":"⪩⨒∯331023-⪩⨒∯113013=⪩⨒∯212010","layer":3},{"info":"⪩⨒∯2012031⩁⩘⪩⨒∯212010=⪩⨒∯2213010","layer":2},{"info":"⪩⨒∯-2023230⨼⩣⪩⨒∯2213010=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"((≸$4835$)⊭↱(⊥$1564$)⨸⪁(⫟$4945$⫢⨠$4092$))⨑⩅≇((($1636$⪉⨛$1551$)⨀⨒)⪘⨀)","expression":"((≸⪩⨒∯1023203)⊭↱(⊥⪩⨒∯120130)⨸⪁(⫟⪩⨒∯1031101⫢⨠⪩⨒∯333330))⨑⩅≇(((⪩⨒∯121210⪉⨛⪩⨒∯120033)⨀⨒)⪘⨀)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":355,"operation_count":10,"complexity_ratio":35.5,"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":4835,"base":4}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1564,"base":4}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":4945,"base":4},"right_expr":{"type":"numeric_atoms","value":4092,"base":4}}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1636,"base":4},"right_expr":{"type":"numeric_atoms","value":1551,"base":4}}}}},"used_operators":["h92wMvzauj","g55IO6H4Gj","COABgblf1C","eOf03JbCpp","Q3PJZHRvZv","z4E1FaHLuy","xlXykHWxX1","aA7tF3KVD3","j6NVkjMzuk","EWw2JM7wp4"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","fu6greOZ01","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⪩⨒∯32213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4835","layer":4},{"info":"compute unary expreesion, input=4835, 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=1564","layer":4},{"info":"compute unary expreesion, input=1564, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4945","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=4945, right_input=4092, 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 binary expreesion, left_input=nan, right_input=427, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=1636","layer":4},{"info":"number node, value=1551","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=1551, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3572","layer":3},{"info":"compute unary expreesion, input=3572, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=46740","layer":2},{"info":"compute unary expreesion, input=46740, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-94061","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-94061, 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":0}],"base":4,"result_base":4,"text":"((≸⪩⨒∯1023203)⊭↱(⊥⪩⨒∯120130)⨸⪁(⫟⪩⨒∯1031101⫢⨠⪩⨒∯333330))⨑⩅≇(((⪩⨒∯121210⪉⨛⪩⨒∯120033)⨀⨒)⪘⨀)=⪩⨒∯32213","reverse_text":"⪩⨒∯32213=((≸⪩⨒∯1023203)⊭↱(⊥⪩⨒∯120130)⨸⪁(⫟⪩⨒∯1031101⫢⨠⪩⨒∯333330))⨑⩅≇(((⪩⨒∯121210⪉⨛⪩⨒∯120033)⨀⨒)⪘⨀)","cot":[{"info":"≸⪩⨒∯1023203=⪩⨒∯322","layer":3},{"info":"⊥⪩⨒∯120130=NaN","layer":3},{"info":"⪩⨒∯322⊭↱NaN=NaN","layer":2},{"info":"⪩⨒∯1031101⫢⨠⪩⨒∯333330=⪩⨒∯2200","layer":3},{"info":"⫟⪩⨒∯2200=⪩⨒∯12223","layer":2},{"info":"NaN⨸⪁⪩⨒∯12223=NaN","layer":1},{"info":"⪩⨒∯121210⪉⨛⪩⨒∯120033=⪩⨒∯313310","layer":3},{"info":"⪩⨒∯313310⨀⨒=⪩⨒∯23122110","layer":2},{"info":"⪩⨒∯23122110⪘⨀=⪩⨒∯-112331231","layer":1},{"info":"NaN⨑⩅≇⪩⨒∯-112331231=⪩⨒∯32213","layer":0}]}
{"id":136,"expression_no_base_symbol":"(⪫⨮⊛(($4838$∕⩚$8276$)↢($4048$≳⇉$4644$)))≬⇓(($4608$⪭≯$2497$)⩖⊿($1362$⪄$1930$)↺($2807$⨚$1249$)↳≱($1573$⊠≄⫣))","expression":"(⪫⨮⊛((⪩⨒∯1023212∕⩚⪩⨒∯2001110)↢(⪩⨒∯333100≳⇉⪩⨒∯1020210)))≬⇓((⪩⨒∯1020000⪭≯⪩⨒∯213001)⩖⊿(⪩⨒∯111102⪄⪩⨒∯132022)↺(⪩⨒∯223313⨚⪩⨒∯103201)↳≱(⪩⨒∯120211⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":227261273,"operation_count":12,"complexity_ratio":18938439.416666668,"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":4838,"base":4},"right_expr":{"type":"numeric_atoms","value":8276,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4048,"base":4},"right_expr":{"type":"numeric_atoms","value":4644,"base":4}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":4608,"base":4},"right_expr":{"type":"numeric_atoms","value":2497,"base":4}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1362,"base":4},"right_expr":{"type":"numeric_atoms","value":1930,"base":4}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2807,"base":4},"right_expr":{"type":"numeric_atoms","value":1249,"base":4}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1573,"base":4}}}}},"used_operators":["jWTQ2TZYIH","w5FWba1tyO","WR6HLWljOP","z9ffQ9n5Zr","V0kx6qeWkN","7j4O788W3g","RZ5CV9rWsJ","XAx5wpdLa6","SUmda5xLS4","JwTKLfZU96","nREPSIbpBE","DIvbN7qnHd"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","BjRHVeLaeN","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯-112","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4838","layer":4},{"info":"number node, value=8276","layer":4},{"info":"compute binary expreesion, left_input=4838, right_input=8276, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4841","layer":3},{"info":"number node, value=4048","layer":4},{"info":"number node, value=4644","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=4644, 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=-4841, 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 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":"number node, value=4608","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=4608, right_input=2497, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1362","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=1930, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-205385","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-205385, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"number node, value=2807","layer":4},{"info":"number node, value=1249","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=1249, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1552","layer":3},{"info":"number node, value=1573","layer":4},{"info":"compute unary expreesion, input=1573, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1552, right_input=0, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":4,"result_base":4,"text":"(⪫⨮⊛((⪩⨒∯1023212∕⩚⪩⨒∯2001110)↢(⪩⨒∯333100≳⇉⪩⨒∯1020210)))≬⇓((⪩⨒∯1020000⪭≯⪩⨒∯213001)⩖⊿(⪩⨒∯111102⪄⪩⨒∯132022)↺(⪩⨒∯223313⨚⪩⨒∯103201)↳≱(⪩⨒∯120211⊠≄⫣))=⪩⨒∯-112","reverse_text":"⪩⨒∯-112=(⪫⨮⊛((⪩⨒∯1023212∕⩚⪩⨒∯2001110)↢(⪩⨒∯333100≳⇉⪩⨒∯1020210)))≬⇓((⪩⨒∯1020000⪭≯⪩⨒∯213001)⩖⊿(⪩⨒∯111102⪄⪩⨒∯132022)↺(⪩⨒∯223313⨚⪩⨒∯103201)↳≱(⪩⨒∯120211⊠≄⫣))","cot":[{"info":"⪩⨒∯1023212∕⩚⪩⨒∯2001110=⪩⨒∯-1023221","layer":3},{"info":"⪩⨒∯333100≳⇉⪩⨒∯1020210=NaN","layer":3},{"info":"⪩⨒∯-1023221↢NaN=NaN","layer":2},{"info":"⪫⨮⊛NaN=NaN","layer":1},{"info":"⪩⨒∯1020000⪭≯⪩⨒∯213001=NaN","layer":3},{"info":"⪩⨒∯111102⪄⪩⨒∯132022=⪩⨒∯-302021021","layer":3},{"info":"NaN⩖⊿⪩⨒∯-302021021=NaN","layer":2},{"info":"⪩⨒∯223313⨚⪩⨒∯103201=⪩⨒∯120100","layer":3},{"info":"⪩⨒∯120211⊠≄⫣=⪩⨒∯0","layer":3},{"info":"⪩⨒∯120100↳≱⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"NaN↺⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"NaN≬⇓⪩⨒∯0=⪩⨒∯-112","layer":0}]}
{"id":137,"expression_no_base_symbol":"(∥⊫(⊊≼∋($3262$⊲⩕⊾$2332$)))⨂≜(($2294$⇴∐$1355$⫩⊇)⪔⊥($4546$⪎↠$1519$⨒$3193$⩌⋺$1164$))","expression":"(∥⊫(⊊≼∋(⪩⨒∯302332⊲⩕⊾⪩⨒∯210130)))⨂≜((⪩⨒∯203312⇴∐⪩⨒∯111023⫩⊇)⪔⊥(⪩⨒∯1013002⪎↠⪩⨒∯113233⨒⪩⨒∯301321⩌⋺⪩⨒∯102030))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":131,"operation_count":10,"complexity_ratio":13.1,"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":3262,"base":4},"right_expr":{"type":"numeric_atoms","value":2332,"base":4}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2294,"base":4},"right_expr":{"type":"numeric_atoms","value":1355,"base":4}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":4546,"base":4},"right_expr":{"type":"numeric_atoms","value":1519,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3193,"base":4},"right_expr":{"type":"numeric_atoms","value":1164,"base":4}}}}},"used_operators":["k1SHOSEABc","P8v4zCKN1o","FWz7pXsQhA","DmTXOeWf9t","HJ9erzHUuu","BjRHVeLaeN","HnzytWxmAO","y75s1iXyHd","3tVxb0NHM4","g7Hmc5v1ko"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","jCPkEVoL5K","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3262","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=3262, right_input=2332, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-72142","layer":3},{"info":"compute unary expreesion, input=-72142, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=2294","layer":4},{"info":"number node, value=1355","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1355, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"number node, value=4546","layer":4},{"info":"number node, value=1519","layer":4},{"info":"compute binary expreesion, left_input=4546, right_input=1519, 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=3193","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=3193, right_input=1164, 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=-4478","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4478, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1, 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=nan, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(∥⊫(⊊≼∋(⪩⨒∯302332⊲⩕⊾⪩⨒∯210130)))⨂≜((⪩⨒∯203312⇴∐⪩⨒∯111023⫩⊇)⪔⊥(⪩⨒∯1013002⪎↠⪩⨒∯113233⨒⪩⨒∯301321⩌⋺⪩⨒∯102030))=NaN","reverse_text":"NaN=(∥⊫(⊊≼∋(⪩⨒∯302332⊲⩕⊾⪩⨒∯210130)))⨂≜((⪩⨒∯203312⇴∐⪩⨒∯111023⫩⊇)⪔⊥(⪩⨒∯1013002⪎↠⪩⨒∯113233⨒⪩⨒∯301321⩌⋺⪩⨒∯102030))","cot":[{"info":"⪩⨒∯302332⊲⩕⊾⪩⨒∯210130=⪩⨒∯-101213032","layer":3},{"info":"⊊≼∋⪩⨒∯-101213032=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⪩⨒∯203312⇴∐⪩⨒∯111023=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"⪩⨒∯1013002⪎↠⪩⨒∯113233=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯301321⩌⋺⪩⨒∯102030=⪩⨒∯-1011332","layer":3},{"info":"⪩⨒∯2200⨒⪩⨒∯-1011332=⪩⨒∯1","layer":2},{"info":"NaN⪔⊥⪩⨒∯1=NaN","layer":1},{"info":"NaN⨂≜NaN=NaN","layer":0}]}
{"id":138,"expression_no_base_symbol":"(↨$4203$⫣⪄⊒$1823$⪍↜⋙$1578$↼⊘⨖$1663$)∷(⪁⇼(⪹$3823$))⪚(($1217$⇡)⊪)","expression":"(↨⪩⨒∯1001223⫣⪄⊒⪩⨒∯130133⪍↜⋙⪩⨒∯120222↼⊘⨖⪩⨒∯121333)∷(⪁⇼(⪹⪩⨒∯323233))⪚((⪩⨒∯103001⇡)⊪)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9096,"operation_count":10,"complexity_ratio":909.6,"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":4203,"base":4},"right_expr":{"type":"numeric_atoms","value":1823,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1578,"base":4},"right_expr":{"type":"numeric_atoms","value":1663,"base":4}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":3823,"base":4}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":1217,"base":4}}}}},"used_operators":["D3AQDKkPcf","jiX4gk2v2Q","L05ObWFQCd","RabNbG55vr","bPywburJMS","HrjLwUk87U","ZNVVrZ94lY","USyYr0JgAa","zVYPLywUTj","UqFzSgLMvQ"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","tifHPKVTfV","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4203","layer":4},{"info":"number node, value=1823","layer":4},{"info":"compute binary expreesion, left_input=4203, right_input=1823, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-3044","layer":3},{"info":"number node, value=1578","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=1663, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3104","layer":3},{"info":"compute binary expreesion, left_input=-3044, right_input=3104, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=8229","layer":2},{"info":"compute unary expreesion, input=8229, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":1},{"info":"number node, value=3823","layer":4},{"info":"compute unary expreesion, input=3823, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-3643","layer":3},{"info":"compute unary expreesion, input=-3643, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute unary expreesion, input=-2917, 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=85427684","layer":2},{"info":"compute binary expreesion, left_input=422, right_input=85427684, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-170854880","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-170854880, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↨⪩⨒∯1001223⫣⪄⊒⪩⨒∯130133⪍↜⋙⪩⨒∯120222↼⊘⨖⪩⨒∯121333)∷(⪁⇼(⪹⪩⨒∯323233))⪚((⪩⨒∯103001⇡)⊪)=NaN","reverse_text":"NaN=(↨⪩⨒∯1001223⫣⪄⊒⪩⨒∯130133⪍↜⋙⪩⨒∯120222↼⊘⨖⪩⨒∯121333)∷(⪁⇼(⪹⪩⨒∯323233))⪚((⪩⨒∯103001⇡)⊪)","cot":[{"info":"⪩⨒∯1001223⫣⪄⊒⪩⨒∯130133=⪩⨒∯-233210","layer":3},{"info":"⪩⨒∯120222↼⊘⨖⪩⨒∯121333=⪩⨒∯300200","layer":3},{"info":"⪩⨒∯-233210⪍↜⋙⪩⨒∯300200=⪩⨒∯2000211","layer":2},{"info":"↨⪩⨒∯2000211=NaN","layer":1},{"info":"⪹⪩⨒∯323233=⪩⨒∯-320323","layer":3},{"info":"⪁⇼⪩⨒∯-320323=⪩⨒∯12212","layer":2},{"info":"⪩⨒∯103001⇡=⪩⨒∯-231211","layer":3},{"info":"⪩⨒∯-231211⊪=⪩⨒∯11011320113210","layer":2},{"info":"⪩⨒∯12212⪚⪩⨒∯11011320113210=⪩⨒∯-22023300213200","layer":1},{"info":"NaN∷⪩⨒∯-22023300213200=NaN","layer":0}]}
{"id":139,"expression_no_base_symbol":"($3825$∕⩚$4452$)⫒⫫($1626$⩒⫫$1260$)⪇≇⋚((⇾⩊⇾$2156$)⪄$4447$≭$6426$)⊉≛↸($1445$⪃⊛⇣$1636$⫌⩹⨱)⪝(⋗⩬⋾(⩷⨜⫀$1286$))","expression":"(⪩⨒∯323301∕⩚⪩⨒∯1011210)⫒⫫(⪩⨒∯121122⩒⫫⪩⨒∯103230)⪇≇⋚((⇾⩊⇾⪩⨒∯201230)⪄⪩⨒∯1011133≭⪩⨒∯1210122)⊉≛↸(⪩⨒∯112211⪃⊛⇣⪩⨒∯121210⫌⩹⨱)⪝(⋗⩬⋾(⩷⨜⫀⪩⨒∯110012))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5013,"operation_count":13,"complexity_ratio":385.61538461538464,"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":3825,"base":4},"right_expr":{"type":"numeric_atoms","value":4452,"base":4}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1626,"base":4},"right_expr":{"type":"numeric_atoms","value":1260,"base":4}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2156,"base":4}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4447,"base":4},"right_expr":{"type":"numeric_atoms","value":6426,"base":4}}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1445,"base":4},"right_expr":{"type":"numeric_atoms","value":1636,"base":4}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1286,"base":4}}}}},"used_operators":["DZ8iAZOCBD","3sJ7IOPOlU","6Ko8hGgeMq","z9ffQ9n5Zr","KFSx94NKJn","SUmda5xLS4","bx9Z9DAK5y","rxpJgHHUmx","wicAB68Tmb","EBcxylXtPf","rrgAzCduG9","DpFCA1CohY","CDi0ktkjQ4"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","AHs5Up7iyr","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","ruOEQAzv1W","nhYeJWJD5X"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3825","layer":4},{"info":"number node, value=4452","layer":4},{"info":"compute binary expreesion, left_input=3825, right_input=4452, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3828","layer":3},{"info":"number node, value=1626","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=1260, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1324","layer":3},{"info":"compute binary expreesion, left_input=-3828, right_input=1324, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=16528","layer":2},{"info":"number node, value=2156","layer":4},{"info":"compute unary expreesion, input=2156, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-25890","layer":3},{"info":"number node, value=4447","layer":4},{"info":"number node, value=6426","layer":4},{"info":"compute binary expreesion, left_input=4447, right_input=6426, 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=-25890, right_input=nan, 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=16528, right_input=3979, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1445","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=1636, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3869","layer":2},{"info":"number node, value=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1013","layer":3},{"info":"compute unary expreesion, input=-1013, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=3039","layer":2},{"info":"compute binary expreesion, left_input=3869, right_input=3039, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-3719","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-3719, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯323301∕⩚⪩⨒∯1011210)⫒⫫(⪩⨒∯121122⩒⫫⪩⨒∯103230)⪇≇⋚((⇾⩊⇾⪩⨒∯201230)⪄⪩⨒∯1011133≭⪩⨒∯1210122)⊉≛↸(⪩⨒∯112211⪃⊛⇣⪩⨒∯121210⫌⩹⨱)⪝(⋗⩬⋾(⩷⨜⫀⪩⨒∯110012))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⪩⨒∯323301∕⩚⪩⨒∯1011210)⫒⫫(⪩⨒∯121122⩒⫫⪩⨒∯103230)⪇≇⋚((⇾⩊⇾⪩⨒∯201230)⪄⪩⨒∯1011133≭⪩⨒∯1210122)⊉≛↸(⪩⨒∯112211⪃⊛⇣⪩⨒∯121210⫌⩹⨱)⪝(⋗⩬⋾(⩷⨜⫀⪩⨒∯110012))","cot":[{"info":"⪩⨒∯323301∕⩚⪩⨒∯1011210=⪩⨒∯-323310","layer":3},{"info":"⪩⨒∯121122⩒⫫⪩⨒∯103230=⪩⨒∯110230","layer":3},{"info":"⪩⨒∯-323310⫒⫫⪩⨒∯110230=⪩⨒∯10002100","layer":2},{"info":"⇾⩊⇾⪩⨒∯201230=⪩⨒∯-12110202","layer":3},{"info":"⪩⨒∯1011133≭⪩⨒∯1210122=NaN","layer":3},{"info":"⪩⨒∯-12110202⪄NaN=⪩⨒∯332023","layer":2},{"info":"⪩⨒∯10002100⪇≇⋚⪩⨒∯332023=⪩⨒∯0","layer":1},{"info":"⪩⨒∯112211⪃⊛⇣⪩⨒∯121210=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯103102⫌⩹⨱=⪩⨒∯330131","layer":2},{"info":"⩷⨜⫀⪩⨒∯110012=⪩⨒∯-33311","layer":3},{"info":"⋗⩬⋾⪩⨒∯-33311=⪩⨒∯233133","layer":2},{"info":"⪩⨒∯330131⪝⪩⨒∯233133=⪩⨒∯-322013","layer":1},{"info":"⪩⨒∯0⊉≛↸⪩⨒∯-322013=⪩⨒∯0","layer":0}]}
{"id":140,"expression_no_base_symbol":"((∤↝(↴⪽⋼$3249$))⪃↞⩐)↡⊰⫅((⫛⫱⨽$8445$)⇄($1191$⇼⇔∾$1754$))≹⇙⪍((⩏⊷≩$5006$)⨒($4027$⪬∳))","expression":"((∤↝(↴⪽⋼⪩⨒∯302301))⪃↞⩐)↡⊰⫅((⫛⫱⨽⪩⨒∯2003331)⇄(⪩⨒∯102213⇼⇔∾⪩⨒∯123122))≹⇙⪍((⩏⊷≩⪩⨒∯1032032)⨒(⪩⨒∯332323⪬∳))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15533,"operation_count":11,"complexity_ratio":1412.090909090909,"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":3249,"base":4}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":8445,"base":4}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1191,"base":4},"right_expr":{"type":"numeric_atoms","value":1754,"base":4}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":5006,"base":4}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":4027,"base":4}}}}},"used_operators":["VCtxkLNOzz","grXIztHqDa","3UMq87Qwqg","5TUYCnJO6w","AHs5Up7iyr","3EYGwJThht","DlLNRPXxWL","tifHPKVTfV","y75s1iXyHd","uOZ1tnYMDE","O9U3z1385E"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","dWAJyo7jo9","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","23Mk6UjR3U","12rbrZMWeM","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3249","layer":4},{"info":"compute unary expreesion, input=3249, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3249","layer":3},{"info":"compute unary expreesion, input=3249, 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=3249","layer":2},{"info":"compute unary expreesion, input=3249, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=19800","layer":1},{"info":"number node, value=8445","layer":4},{"info":"compute unary expreesion, input=8445, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=1754, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=563","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=563, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-79","layer":2},{"info":"number node, value=5006","layer":4},{"info":"compute unary expreesion, input=5006, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=9711","layer":3},{"info":"number node, value=4027","layer":4},{"info":"compute unary expreesion, input=4027, 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=9711, right_input=-709, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-79, right_input=0, 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=-79","layer":1},{"info":"compute binary expreesion, left_input=19800, right_input=-79, 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":0}],"base":4,"result_base":4,"text":"((∤↝(↴⪽⋼⪩⨒∯302301))⪃↞⩐)↡⊰⫅((⫛⫱⨽⪩⨒∯2003331)⇄(⪩⨒∯102213⇼⇔∾⪩⨒∯123122))≹⇙⪍((⩏⊷≩⪩⨒∯1032032)⨒(⪩⨒∯332323⪬∳))=NaN","reverse_text":"NaN=((∤↝(↴⪽⋼⪩⨒∯302301))⪃↞⩐)↡⊰⫅((⫛⫱⨽⪩⨒∯2003331)⇄(⪩⨒∯102213⇼⇔∾⪩⨒∯123122))≹⇙⪍((⩏⊷≩⪩⨒∯1032032)⨒(⪩⨒∯332323⪬∳))","cot":[{"info":"↴⪽⋼⪩⨒∯302301=⪩⨒∯302301","layer":3},{"info":"∤↝⪩⨒∯302301=⪩⨒∯302301","layer":2},{"info":"⪩⨒∯302301⪃↞⩐=⪩⨒∯10311120","layer":1},{"info":"⫛⫱⨽⪩⨒∯2003331=⪩⨒∯0","layer":3},{"info":"⪩⨒∯102213⇼⇔∾⪩⨒∯123122=⪩⨒∯20303","layer":3},{"info":"⪩⨒∯0⇄⪩⨒∯20303=⪩⨒∯-1033","layer":2},{"info":"⩏⊷≩⪩⨒∯1032032=⪩⨒∯2113233","layer":3},{"info":"⪩⨒∯332323⪬∳=⪩⨒∯-23011","layer":3},{"info":"⪩⨒∯2113233⨒⪩⨒∯-23011=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-1033≹⇙⪍⪩⨒∯0=⪩⨒∯-1033","layer":1},{"info":"⪩⨒∯10311120↡⊰⫅⪩⨒∯-1033=NaN","layer":0}]}
{"id":141,"expression_no_base_symbol":"((-$3359$)⪣⫩)⪭(↔(↪⫪⫘$1167$))⨫⇇↔(($4715$⨸⪁$4682$)∺≝⩲($4514$⨐⩸⫘$2669$)⨚⇆(↔$1524$↞⋁$7790$))","expression":"((-⪩⨒∯310133)⪣⫩)⪭(↔(↪⫪⫘⪩⨒∯102033))⨫⇇↔((⪩⨒∯1021223⨸⪁⪩⨒∯1021022)∺≝⩲(⪩⨒∯1012202⨐⩸⫘⪩⨒∯221231)⨚⇆(↔⪩⨒∯113310↞⋁⪩⨒∯1321232))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1473,"operation_count":12,"complexity_ratio":122.75,"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":3359,"base":4}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1167,"base":4}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4715,"base":4},"right_expr":{"type":"numeric_atoms","value":4682,"base":4}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4514,"base":4},"right_expr":{"type":"numeric_atoms","value":2669,"base":4}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1524,"base":4},"right_expr":{"type":"numeric_atoms","value":7790,"base":4}}}}},"used_operators":["LXhwmt4mBO","j9kHMeSvPp","iuk5sVOGFA","t8gj7n24qd","ruOEQAzv1W","9dWsAM3GFt","lwHaAYXP2r","KPf6cnQVty","g55IO6H4Gj","fu6greOZ01","RqrPlJkxDo"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","3ViojmjbAp","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"⪩⨒∯-20033","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3359","layer":4},{"info":"compute unary expreesion, input=3359, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3359","layer":3},{"info":"compute unary expreesion, input=-3359, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":2},{"info":"number node, value=1167","layer":4},{"info":"compute unary expreesion, input=1167, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=749","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=749, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=4715","layer":4},{"info":"number node, value=4682","layer":4},{"info":"compute binary expreesion, left_input=4715, right_input=4682, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18794","layer":3},{"info":"number node, value=4514","layer":4},{"info":"number node, value=2669","layer":4},{"info":"compute binary expreesion, left_input=4514, right_input=2669, 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=18794, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1524","layer":4},{"info":"number node, value=7790","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=7790, 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 = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-134, 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=5, right_input=nan, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":4,"result_base":4,"text":"((-⪩⨒∯310133)⪣⫩)⪭(↔(↪⫪⫘⪩⨒∯102033))⨫⇇↔((⪩⨒∯1021223⨸⪁⪩⨒∯1021022)∺≝⩲(⪩⨒∯1012202⨐⩸⫘⪩⨒∯221231)⨚⇆(↔⪩⨒∯113310↞⋁⪩⨒∯1321232))=⪩⨒∯-20033","reverse_text":"⪩⨒∯-20033=((-⪩⨒∯310133)⪣⫩)⪭(↔(↪⫪⫘⪩⨒∯102033))⨫⇇↔((⪩⨒∯1021223⨸⪁⪩⨒∯1021022)∺≝⩲(⪩⨒∯1012202⨐⩸⫘⪩⨒∯221231)⨚⇆(↔⪩⨒∯113310↞⋁⪩⨒∯1321232))","cot":[{"info":"-⪩⨒∯310133=⪩⨒∯-310133","layer":3},{"info":"⪩⨒∯-310133⪣⫩=⪩⨒∯32101","layer":2},{"info":"↪⫪⫘⪩⨒∯102033=⪩⨒∯110","layer":3},{"info":"↔⪩⨒∯110=⪩⨒∯23231","layer":2},{"info":"⪩⨒∯32101⪭⪩⨒∯23231=⪩⨒∯11","layer":1},{"info":"⪩⨒∯1021223⨸⪁⪩⨒∯1021022=⪩⨒∯10211222","layer":3},{"info":"⪩⨒∯1012202⨐⩸⫘⪩⨒∯221231=NaN","layer":3},{"info":"⪩⨒∯10211222∺≝⩲NaN=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯113310↞⋁⪩⨒∯1321232=NaN","layer":3},{"info":"↔NaN=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯2200⨚⇆⪩⨒∯-2012=NaN","layer":1},{"info":"⪩⨒∯11⨫⇇↔NaN=⪩⨒∯-20033","layer":0}]}
{"id":142,"expression_no_base_symbol":"⊥(⇠(($1093$⫩⊇)∀⇚≩$2643$↞⋁$2467$))","expression":"⊥(⇠((⪩⨒∯101011⫩⊇)∀⇚≩⪩⨒∯221103↞⋁⪩⨒∯212203))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7544,"operation_count":5,"complexity_ratio":1508.8,"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":1093,"base":4}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2643,"base":4},"right_expr":{"type":"numeric_atoms","value":2467,"base":4}}}}},"used_operators":["Q3PJZHRvZv","18saOjeKKm","LRNGc0VcxI","BjRHVeLaeN","RqrPlJkxDo"],"dependent_operators":["fu6greOZ01","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1093","layer":4},{"info":"compute unary expreesion, input=1093, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1051","layer":3},{"info":"number node, value=2643","layer":4},{"info":"number node, value=2467","layer":4},{"info":"compute binary expreesion, left_input=2643, right_input=2467, 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=-1051, 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 unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⊥(⇠((⪩⨒∯101011⫩⊇)∀⇚≩⪩⨒∯221103↞⋁⪩⨒∯212203))=NaN","reverse_text":"NaN=⊥(⇠((⪩⨒∯101011⫩⊇)∀⇚≩⪩⨒∯221103↞⋁⪩⨒∯212203))","cot":[{"info":"⪩⨒∯101011⫩⊇=⪩⨒∯-100123","layer":3},{"info":"⪩⨒∯221103↞⋁⪩⨒∯212203=NaN","layer":3},{"info":"⪩⨒∯-100123∀⇚≩NaN=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":143,"expression_no_base_symbol":"(⇁⨣⪵(∥⊫$5993$))⨿(($2053$⩁⩘$1034$)↢$4259$⋹⋡⊁$3416$)⫃⨇(⇜($2119$⋥≓≎$4498$))⨔⇊($3910$⪉⨛$7271$)⪝($5286$⫑%∭)","expression":"(⇁⨣⪵(∥⊫⪩⨒∯1131221))⨿((⪩⨒∯200011⩁⩘⪩⨒∯100022)↢⪩⨒∯1002203⋹⋡⊁⪩⨒∯311120)⫃⨇(⇜(⪩⨒∯201013⋥≓≎⪩⨒∯1012102))⨔⇊(⪩⨒∯331012⪉⨛⪩⨒∯1301213)⪝(⪩⨒∯1102212⫑%∭)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":64537,"operation_count":13,"complexity_ratio":4964.384615384615,"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":5993,"base":4}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2053,"base":4},"right_expr":{"type":"numeric_atoms","value":1034,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4259,"base":4},"right_expr":{"type":"numeric_atoms","value":3416,"base":4}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2119,"base":4},"right_expr":{"type":"numeric_atoms","value":4498,"base":4}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3910,"base":4},"right_expr":{"type":"numeric_atoms","value":7271,"base":4}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":5286,"base":4}}}}},"used_operators":["09Ly4LVMIf","abYXlopdE0","inkyxCbjAn","P8v4zCKN1o","WR6HLWljOP","gub5Cegaqo","As8RqfVLgs","JclMnS0uGI","lFBm8KRb8F","Qy55tPpLXF","wicAB68Tmb","EWw2JM7wp4","xUx7qlDO4z"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","DpFCA1CohY","IWmyXbctLI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5993","layer":4},{"info":"compute unary expreesion, input=5993, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6861","layer":3},{"info":"compute unary expreesion, input=6861, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2053","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2053, right_input=1034, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5084","layer":3},{"info":"number node, value=4259","layer":4},{"info":"number node, value=3416","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=3416, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4166","layer":3},{"info":"compute binary expreesion, left_input=5084, right_input=4166, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4600","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4600, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":1},{"info":"number node, value=2119","layer":4},{"info":"number node, value=4498","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=4498, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6910","layer":3},{"info":"compute unary expreesion, input=6910, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-55688","layer":2},{"info":"number node, value=3910","layer":4},{"info":"number node, value=7271","layer":4},{"info":"compute binary expreesion, left_input=3910, right_input=7271, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4674","layer":3},{"info":"number node, value=5286","layer":4},{"info":"compute unary expreesion, input=5286, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4674, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55688, 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":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇁⨣⪵(∥⊫⪩⨒∯1131221))⨿((⪩⨒∯200011⩁⩘⪩⨒∯100022)↢⪩⨒∯1002203⋹⋡⊁⪩⨒∯311120)⫃⨇(⇜(⪩⨒∯201013⋥≓≎⪩⨒∯1012102))⨔⇊(⪩⨒∯331012⪉⨛⪩⨒∯1301213)⪝(⪩⨒∯1102212⫑%∭)=NaN","reverse_text":"NaN=(⇁⨣⪵(∥⊫⪩⨒∯1131221))⨿((⪩⨒∯200011⩁⩘⪩⨒∯100022)↢⪩⨒∯1002203⋹⋡⊁⪩⨒∯311120)⫃⨇(⇜(⪩⨒∯201013⋥≓≎⪩⨒∯1012102))⨔⇊(⪩⨒∯331012⪉⨛⪩⨒∯1301213)⪝(⪩⨒∯1102212⫑%∭)","cot":[{"info":"∥⊫⪩⨒∯1131221=⪩⨒∯1223031","layer":3},{"info":"⇁⨣⪵⪩⨒∯1223031=NaN","layer":2},{"info":"⪩⨒∯200011⩁⩘⪩⨒∯100022=⪩⨒∯1033130","layer":3},{"info":"⪩⨒∯1002203⋹⋡⊁⪩⨒∯311120=⪩⨒∯1001012","layer":3},{"info":"⪩⨒∯1033130↢⪩⨒∯1001012=⪩⨒∯1013320","layer":2},{"info":"NaN⨿⪩⨒∯1013320=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯201013⋥≓≎⪩⨒∯1012102=⪩⨒∯1223332","layer":3},{"info":"⇜⪩⨒∯1223332=⪩⨒∯-31212020","layer":2},{"info":"⪩⨒∯331012⪉⨛⪩⨒∯1301213=⪩⨒∯1021002","layer":3},{"info":"⪩⨒∯1102212⫑%∭=NaN","layer":3},{"info":"⪩⨒∯1021002⪝NaN=NaN","layer":2},{"info":"⪩⨒∯-31212020⨔⇊NaN=NaN","layer":1},{"info":"⪩⨒∯1003⫃⨇NaN=NaN","layer":0}]}
{"id":144,"expression_no_base_symbol":"((⨰⫟⨤($1524$⇌⫙⪟$5198$))⩁⩘($8260$≀⫉$4551$)⫁⪎(⇾⩊⇾$1526$))∊∟⩊((⇋↷$6202$↓$3612$)∝(∤$2815$∠⫱$6091$))","expression":"((⨰⫟⨤(⪩⨒∯113310⇌⫙⪟⪩⨒∯1101032))⩁⩘(⪩⨒∯2001010≀⫉⪩⨒∯1013013)⫁⪎(⇾⩊⇾⪩⨒∯113312))∊∟⩊((⇋↷⪩⨒∯1200322↓⪩⨒∯320130)∝(∤⪩⨒∯223333∠⫱⪩⨒∯1133023))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":52010,"operation_count":12,"complexity_ratio":4334.166666666667,"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":1524,"base":4},"right_expr":{"type":"numeric_atoms","value":5198,"base":4}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":8260,"base":4},"right_expr":{"type":"numeric_atoms","value":4551,"base":4}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1526,"base":4}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":6202,"base":4},"right_expr":{"type":"numeric_atoms","value":3612,"base":4}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2815,"base":4},"right_expr":{"type":"numeric_atoms","value":6091,"base":4}}}}},"used_operators":["ddLRYrp01A","gub5Cegaqo","Tw270M8GLb","AFVx7xoS7T","xRrnTEsQ6j","oZj3VtZNQx","bx9Z9DAK5y","cTDWOvIxvz","SWo3A1KBJH","Af076pWI7l","k2HlF1dBQh","QvoQhV0rrE"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DpFCA1CohY","IWmyXbctLI","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⪩⨒∯-100223","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1524","layer":4},{"info":"number node, value=5198","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=5198, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=8260","layer":4},{"info":"number node, value=4551","layer":4},{"info":"compute binary expreesion, left_input=8260, right_input=4551, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1526","layer":4},{"info":"compute unary expreesion, input=1526, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-20220","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-20220, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=23042","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23042, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=6202","layer":4},{"info":"number node, value=3612","layer":4},{"info":"compute binary expreesion, left_input=6202, right_input=3612, 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 = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-1072","layer":2},{"info":"number node, value=2815","layer":4},{"info":"number node, value=6091","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=6091, 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 = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=-1072, right_input=9, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-1067","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1067, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-1067","layer":0}],"base":4,"result_base":4,"text":"((⨰⫟⨤(⪩⨒∯113310⇌⫙⪟⪩⨒∯1101032))⩁⩘(⪩⨒∯2001010≀⫉⪩⨒∯1013013)⫁⪎(⇾⩊⇾⪩⨒∯113312))∊∟⩊((⇋↷⪩⨒∯1200322↓⪩⨒∯320130)∝(∤⪩⨒∯223333∠⫱⪩⨒∯1133023))=⪩⨒∯-100223","reverse_text":"⪩⨒∯-100223=((⨰⫟⨤(⪩⨒∯113310⇌⫙⪟⪩⨒∯1101032))⩁⩘(⪩⨒∯2001010≀⫉⪩⨒∯1013013)⫁⪎(⇾⩊⇾⪩⨒∯113312))∊∟⩊((⇋↷⪩⨒∯1200322↓⪩⨒∯320130)∝(∤⪩⨒∯223333∠⫱⪩⨒∯1133023))","cot":[{"info":"⪩⨒∯113310⇌⫙⪟⪩⨒∯1101032=⪩⨒∯1301","layer":3},{"info":"⨰⫟⨤⪩⨒∯1301=NaN","layer":2},{"info":"⪩⨒∯2001010≀⫉⪩⨒∯1013013=⪩⨒∯230012","layer":3},{"info":"⇾⩊⇾⪩⨒∯113312=⪩⨒∯-10323330","layer":3},{"info":"⪩⨒∯230012⫁⪎⪩⨒∯-10323330=⪩⨒∯11220002","layer":2},{"info":"NaN⩁⩘⪩⨒∯11220002=NaN","layer":1},{"info":"⪩⨒∯1200322↓⪩⨒∯320130=⪩⨒∯-2012","layer":3},{"info":"⇋↷⪩⨒∯-2012=⪩⨒∯-100300","layer":2},{"info":"⪩⨒∯223333∠⫱⪩⨒∯1133023=⪩⨒∯103102","layer":3},{"info":"∤⪩⨒∯103102=⪩⨒∯21","layer":2},{"info":"⪩⨒∯-100300∝⪩⨒∯21=⪩⨒∯-100223","layer":1},{"info":"NaN∊∟⩊⪩⨒∯-100223=⪩⨒∯-100223","layer":0}]}
{"id":145,"expression_no_base_symbol":"($2120$⩦$3510$⩁⩘($4484$↙$2059$))⪒⊣⊆((⨩∲⋌$4513$)⊋≦⊧$1507$⨂≜$4839$)⊲⩕⊾(((⨝⨆$1294$)≫≃)⊔(⊥($1033$⇌⫙⪟$2303$)))","expression":"(⪩⨒∯201020⩦⪩⨒∯312312⩁⩘(⪩⨒∯1012010↙⪩⨒∯200023))⪒⊣⊆((⨩∲⋌⪩⨒∯1012201)⊋≦⊧⪩⨒∯113203⨂≜⪩⨒∯1023213)⊲⩕⊾(((⨝⨆⪩⨒∯110032)≫≃)⊔(⊥(⪩⨒∯100021⇌⫙⪟⪩⨒∯203333)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":17177,"operation_count":13,"complexity_ratio":1321.3076923076924,"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":2120,"base":4},"right_expr":{"type":"numeric_atoms","value":3510,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4484,"base":4},"right_expr":{"type":"numeric_atoms","value":2059,"base":4}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4513,"base":4}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1507,"base":4},"right_expr":{"type":"numeric_atoms","value":4839,"base":4}}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1294,"base":4}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1033,"base":4},"right_expr":{"type":"numeric_atoms","value":2303,"base":4}}}}},"used_operators":["DmTXOeWf9t","eRqsBgTDFp","gub5Cegaqo","0kmYd0q39Y","yyfyN0ffXY","oRDoc9rAEX","aSik1wnThz","k1SHOSEABc","E4l6HwMY31","X99M06cbEe","bQ67fsrMVf","Q3PJZHRvZv","AFVx7xoS7T"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","DpFCA1CohY","IWmyXbctLI","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tifHPKVTfV","fu6greOZ01","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⪩⨒∯-3010313022","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2120","layer":4},{"info":"number node, value=3510","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=3510, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4240","layer":3},{"info":"number node, value=4484","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=4484, right_input=2059, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6177","layer":3},{"info":"compute binary expreesion, left_input=4240, right_input=-6177, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-23760","layer":2},{"info":"number node, value=4513","layer":4},{"info":"compute unary expreesion, input=4513, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-5036","layer":3},{"info":"number node, value=1507","layer":4},{"info":"number node, value=4839","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=4839, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5036, 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=192","layer":2},{"info":"compute binary expreesion, left_input=-23760, right_input=192, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=48006","layer":1},{"info":"number node, value=1294","layer":4},{"info":"compute unary expreesion, input=1294, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1085","layer":3},{"info":"compute unary expreesion, input=1085, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3571","layer":2},{"info":"number node, value=1033","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=2303, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=3571, right_input=-116, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=4162","layer":1},{"info":"compute binary expreesion, left_input=48006, right_input=4162, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-806346","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯201020⩦⪩⨒∯312312⩁⩘(⪩⨒∯1012010↙⪩⨒∯200023))⪒⊣⊆((⨩∲⋌⪩⨒∯1012201)⊋≦⊧⪩⨒∯113203⨂≜⪩⨒∯1023213)⊲⩕⊾(((⨝⨆⪩⨒∯110032)≫≃)⊔(⊥(⪩⨒∯100021⇌⫙⪟⪩⨒∯203333)))=⪩⨒∯-3010313022","reverse_text":"⪩⨒∯-3010313022=(⪩⨒∯201020⩦⪩⨒∯312312⩁⩘(⪩⨒∯1012010↙⪩⨒∯200023))⪒⊣⊆((⨩∲⋌⪩⨒∯1012201)⊋≦⊧⪩⨒∯113203⨂≜⪩⨒∯1023213)⊲⩕⊾(((⨝⨆⪩⨒∯110032)≫≃)⊔(⊥(⪩⨒∯100021⇌⫙⪟⪩⨒∯203333)))","cot":[{"info":"⪩⨒∯201020⩦⪩⨒∯312312=⪩⨒∯1002100","layer":3},{"info":"⪩⨒∯1012010↙⪩⨒∯200023=⪩⨒∯-1200201","layer":3},{"info":"⪩⨒∯1002100⩁⩘⪩⨒∯-1200201=⪩⨒∯-11303100","layer":2},{"info":"⨩∲⋌⪩⨒∯1012201=⪩⨒∯-1032230","layer":3},{"info":"⪩⨒∯113203⨂≜⪩⨒∯1023213=NaN","layer":3},{"info":"⪩⨒∯-1032230⊋≦⊧NaN=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯-11303100⪒⊣⊆⪩⨒∯3000=⪩⨒∯23232012","layer":1},{"info":"⨝⨆⪩⨒∯110032=⪩⨒∯100331","layer":3},{"info":"⪩⨒∯100331≫≃=⪩⨒∯313303","layer":2},{"info":"⪩⨒∯100021⇌⫙⪟⪩⨒∯203333=⪩⨒∯1301","layer":3},{"info":"⊥⪩⨒∯1301=⪩⨒∯-1310","layer":2},{"info":"⪩⨒∯313303⊔⪩⨒∯-1310=⪩⨒∯1001002","layer":1},{"info":"⪩⨒∯23232012⊲⩕⊾⪩⨒∯1001002=⪩⨒∯-3010313022","layer":0}]}
{"id":146,"expression_no_base_symbol":"($7543$⩷∴$6984$)⫯⪬∳($1103$∋$2481$)≥⨤⩑(($1812$⨜⨶$2890$)⊀⩕)⪄($1408$∲⫓$6011$⨵⪆$3320$⫯⪬∳$1145$)⫒⫫((↔$7112$)⨽$2504$∋$3721$)","expression":"(⪩⨒∯1311313⩷∴⪩⨒∯1231020)⫯⪬∳(⪩⨒∯101033∋⪩⨒∯212301)≥⨤⩑((⪩⨒∯130110⨜⨶⪩⨒∯231022)⊀⩕)⪄(⪩⨒∯112000∲⫓⪩⨒∯1131323⨵⪆⪩⨒∯303320⫯⪬∳⪩⨒∯101321)⫒⫫((↔⪩⨒∯1233020)⨽⪩⨒∯213020∋⪩⨒∯322021)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":122524121,"operation_count":14,"complexity_ratio":8751722.92857143,"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":7543,"base":4},"right_expr":{"type":"numeric_atoms","value":6984,"base":4}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1103,"base":4},"right_expr":{"type":"numeric_atoms","value":2481,"base":4}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1812,"base":4},"right_expr":{"type":"numeric_atoms","value":2890,"base":4}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1408,"base":4},"right_expr":{"type":"numeric_atoms","value":6011,"base":4}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":3320,"base":4},"right_expr":{"type":"numeric_atoms","value":1145,"base":4}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":7112,"base":4}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2504,"base":4},"right_expr":{"type":"numeric_atoms","value":3721,"base":4}}}}},"used_operators":["SUmda5xLS4","gJLn6v0xnP","d7ASUq0ydm","9FxExcQeMw","ukq6epAj5P","r0FS3hW4cC","HiPekx5b7W","6Ko8hGgeMq","2DQ55sFlQl","i8ToyICDmI","8HhzD0ZcuI","ruOEQAzv1W"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rGHVDoGpnC","nhYeJWJD5X","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7543","layer":4},{"info":"number node, value=6984","layer":4},{"info":"compute binary expreesion, left_input=7543, right_input=6984, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1086","layer":3},{"info":"number node, value=1103","layer":4},{"info":"number node, value=2481","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=2481, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=5144316","layer":3},{"info":"compute binary expreesion, left_input=1086, right_input=5144316, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-5138853","layer":2},{"info":"number node, value=1812","layer":4},{"info":"number node, value=2890","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=2890, 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=-5524","layer":3},{"info":"compute unary expreesion, input=-5524, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-5138853, 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=1408","layer":4},{"info":"number node, value=6011","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=6011, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3320","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=3320, right_input=1145, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=15488","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=15488, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=7112","layer":4},{"info":"compute unary expreesion, input=7112, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6839","layer":3},{"info":"number node, value=2504","layer":4},{"info":"number node, value=3721","layer":4},{"info":"compute binary expreesion, left_input=2504, right_input=3721, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=7786448","layer":3},{"info":"compute binary expreesion, left_input=-6839, right_input=7786448, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-163673793","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-163673793, 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=1234, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1311313⩷∴⪩⨒∯1231020)⫯⪬∳(⪩⨒∯101033∋⪩⨒∯212301)≥⨤⩑((⪩⨒∯130110⨜⨶⪩⨒∯231022)⊀⩕)⪄(⪩⨒∯112000∲⫓⪩⨒∯1131323⨵⪆⪩⨒∯303320⫯⪬∳⪩⨒∯101321)⫒⫫((↔⪩⨒∯1233020)⨽⪩⨒∯213020∋⪩⨒∯322021)=NaN","reverse_text":"NaN=(⪩⨒∯1311313⩷∴⪩⨒∯1231020)⫯⪬∳(⪩⨒∯101033∋⪩⨒∯212301)≥⨤⩑((⪩⨒∯130110⨜⨶⪩⨒∯231022)⊀⩕)⪄(⪩⨒∯112000∲⫓⪩⨒∯1131323⨵⪆⪩⨒∯303320⫯⪬∳⪩⨒∯101321)⫒⫫((↔⪩⨒∯1233020)⨽⪩⨒∯213020∋⪩⨒∯322021)","cot":[{"info":"⪩⨒∯1311313⩷∴⪩⨒∯1231020=⪩⨒∯100332","layer":3},{"info":"⪩⨒∯101033∋⪩⨒∯212301=⪩⨒∯103213323330","layer":3},{"info":"⪩⨒∯100332⫯⪬∳⪩⨒∯103213323330=⪩⨒∯-103212212211","layer":2},{"info":"⪩⨒∯130110⨜⨶⪩⨒∯231022=⪩⨒∯-1112110","layer":3},{"info":"⪩⨒∯-1112110⊀⩕=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-103212212211≥⨤⩑⪩⨒∯0=⪩⨒∯103102","layer":1},{"info":"⪩⨒∯112000∲⫓⪩⨒∯1131323=⪩⨒∯0","layer":3},{"info":"⪩⨒∯303320⫯⪬∳⪩⨒∯101321=⪩⨒∯3302000","layer":3},{"info":"⪩⨒∯0⨵⪆⪩⨒∯3302000=⪩⨒∯2200","layer":2},{"info":"↔⪩⨒∯1233020=⪩⨒∯-1222313","layer":3},{"info":"⪩⨒∯213020∋⪩⨒∯322021=⪩⨒∯131230333100","layer":3},{"info":"⪩⨒∯-1222313⨽⪩⨒∯131230333100=⪩⨒∯-21300113123001","layer":2},{"info":"⪩⨒∯2200⫒⫫⪩⨒∯-21300113123001=NaN","layer":1},{"info":"⪩⨒∯103102⪄NaN=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"(($1032$∘$5100$⨽$1490$⪥$4252$)⨪↰⇹($2817$⪨⊡$6839$⫡⨏$3205$≒∊$5662$))⨝⩣∺","expression":"((⪩⨒∯100020∘⪩⨒∯1033230⨽⪩⨒∯113102⪥⪩⨒∯1002130)⨪↰⇹(⪩⨒∯230001⪨⊡⪩⨒∯1222313⫡⨏⪩⨒∯302011≒∊⪩⨒∯1120132))⨝⩣∺","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2128,"operation_count":8,"complexity_ratio":266.0,"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":1032,"base":4},"right_expr":{"type":"numeric_atoms","value":5100,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1490,"base":4},"right_expr":{"type":"numeric_atoms","value":4252,"base":4}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2817,"base":4},"right_expr":{"type":"numeric_atoms","value":6839,"base":4}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3205,"base":4},"right_expr":{"type":"numeric_atoms","value":5662,"base":4}}}}},"used_operators":["ancx8kZcWl","tmPS8pqC7x","8HhzD0ZcuI","Z5m6OM72h2","QbnwKVWMIQ","QMFrweE19q","kuIXHzHcAH","5KTvxBwnZo"],"dependent_operators":["DZ8iAZOCBD","t8gj7n24qd","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eH2TOUuTDT","rysDP5nf3Z","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":4},{"info":"number node, value=5100","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=5100, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=2064","layer":3},{"info":"number node, value=1490","layer":4},{"info":"number node, value=4252","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=4252, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10612","layer":3},{"info":"compute binary expreesion, left_input=2064, right_input=10612, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12810810","layer":2},{"info":"number node, value=2817","layer":4},{"info":"number node, value=6839","layer":4},{"info":"compute binary expreesion, left_input=2817, right_input=6839, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3205","layer":4},{"info":"number node, value=5662","layer":4},{"info":"compute binary expreesion, left_input=3205, right_input=5662, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2721","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2721, 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=-4659","layer":2},{"info":"compute binary expreesion, left_input=-12810810, right_input=-4659, 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 unary expreesion, input=nan, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯100020∘⪩⨒∯1033230⨽⪩⨒∯113102⪥⪩⨒∯1002130)⨪↰⇹(⪩⨒∯230001⪨⊡⪩⨒∯1222313⫡⨏⪩⨒∯302011≒∊⪩⨒∯1120132))⨝⩣∺=NaN","reverse_text":"NaN=((⪩⨒∯100020∘⪩⨒∯1033230⨽⪩⨒∯113102⪥⪩⨒∯1002130)⨪↰⇹(⪩⨒∯230001⪨⊡⪩⨒∯1222313⫡⨏⪩⨒∯302011≒∊⪩⨒∯1120132))⨝⩣∺","cot":[{"info":"⪩⨒∯100020∘⪩⨒∯1033230=⪩⨒∯200100","layer":3},{"info":"⪩⨒∯113102⪥⪩⨒∯1002130=⪩⨒∯2211310","layer":3},{"info":"⪩⨒∯200100⨽⪩⨒∯2211310=⪩⨒∯-300313220322","layer":2},{"info":"⪩⨒∯230001⪨⊡⪩⨒∯1222313=⪩⨒∯0","layer":3},{"info":"⪩⨒∯302011≒∊⪩⨒∯1120132=⪩⨒∯-222201","layer":3},{"info":"⪩⨒∯0⫡⨏⪩⨒∯-222201=⪩⨒∯-1020303","layer":2},{"info":"⪩⨒∯-300313220322⨪↰⇹⪩⨒∯-1020303=NaN","layer":1},{"info":"NaN⨝⩣∺=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"(∜⨇($3721$⪨⊡$1244$)⪃⊛⇣($1147$⋅⇍$1540$))↳∿⪆(($2228$⪭$1881$∛≔)⊲⩕⊾($1008$⨎$1180$)∛$1306$∊∟⩊$2422$)","expression":"(∜⨇(⪩⨒∯322021⪨⊡⪩⨒∯103130)⪃⊛⇣(⪩⨒∯101323⋅⇍⪩⨒∯120010))↳∿⪆((⪩⨒∯202310⪭⪩⨒∯131121∛≔)⊲⩕⊾(⪩⨒∯33300⨎⪩⨒∯102130)∛⪩⨒∯110122∊∟⩊⪩⨒∯211312)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15103,"operation_count":11,"complexity_ratio":1373.0,"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":3721,"base":4},"right_expr":{"type":"numeric_atoms","value":1244,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1147,"base":4},"right_expr":{"type":"numeric_atoms","value":1540,"base":4}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2228,"base":4},"right_expr":{"type":"numeric_atoms","value":1881,"base":4}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1008,"base":4},"right_expr":{"type":"numeric_atoms","value":1180,"base":4}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1306,"base":4},"right_expr":{"type":"numeric_atoms","value":2422,"base":4}}}}},"used_operators":["Cw4SuJJGHO","uFPyJr306J","rrgAzCduG9","kuIXHzHcAH","AdZkA7nFnk","DmTXOeWf9t","mGnSCrte3L","j9kHMeSvPp","w2537kitQq","rJVOvQCfKK","ddLRYrp01A"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","COABgblf1C","xUOZtlo3hN","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3721","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=1244, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1147","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1540, 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=0, right_input=-22, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"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":1},{"info":"number node, value=2228","layer":4},{"info":"number node, value=1881","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=1881, 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 = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"number node, value=1008","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1180, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1180","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=2422, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2422","layer":3},{"info":"compute binary expreesion, left_input=1180, right_input=2422, 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 binary expreesion, left_input=-305287, right_input=-670, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-592580","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-592580, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(∜⨇(⪩⨒∯322021⪨⊡⪩⨒∯103130)⪃⊛⇣(⪩⨒∯101323⋅⇍⪩⨒∯120010))↳∿⪆((⪩⨒∯202310⪭⪩⨒∯131121∛≔)⊲⩕⊾(⪩⨒∯33300⨎⪩⨒∯102130)∛⪩⨒∯110122∊∟⩊⪩⨒∯211312)=NaN","reverse_text":"NaN=(∜⨇(⪩⨒∯322021⪨⊡⪩⨒∯103130)⪃⊛⇣(⪩⨒∯101323⋅⇍⪩⨒∯120010))↳∿⪆((⪩⨒∯202310⪭⪩⨒∯131121∛≔)⊲⩕⊾(⪩⨒∯33300⨎⪩⨒∯102130)∛⪩⨒∯110122∊∟⩊⪩⨒∯211312)","cot":[{"info":"⪩⨒∯322021⪨⊡⪩⨒∯103130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯101323⋅⇍⪩⨒∯120010=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯0⪃⊛⇣⪩⨒∯-112=⪩⨒∯103102","layer":2},{"info":"∜⨇⪩⨒∯103102=NaN","layer":1},{"info":"⪩⨒∯202310⪭⪩⨒∯131121=⪩⨒∯11","layer":3},{"info":"⪩⨒∯11∛≔=⪩⨒∯-1022202013","layer":2},{"info":"⪩⨒∯33300⨎⪩⨒∯102130=⪩⨒∯102130","layer":3},{"info":"⪩⨒∯110122∊∟⩊⪩⨒∯211312=⪩⨒∯211312","layer":3},{"info":"⪩⨒∯102130∛⪩⨒∯211312=⪩⨒∯-22132","layer":2},{"info":"⪩⨒∯-1022202013⊲⩕⊾⪩⨒∯-22132=⪩⨒∯-2100223010","layer":1},{"info":"NaN↳∿⪆⪩⨒∯-2100223010=NaN","layer":0}]}
{"id":149,"expression_no_base_symbol":"⊊≼∋(($7081$⫁$2427$≬⋮(⇠$3049$))≠≀($3768$∘$2944$)⇻⋧≁(⫇$1334$))","expression":"⊊≼∋((⪩⨒∯1232221⫁⪩⨒∯211323≬⋮(⇠⪩⨒∯233221))≠≀(⪩⨒∯322320∘⪩⨒∯232000)⇻⋧≁(⫇⪩⨒∯110312))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7707,"operation_count":8,"complexity_ratio":963.375,"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":7081,"base":4},"right_expr":{"type":"numeric_atoms","value":2427,"base":4}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":3049,"base":4}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3768,"base":4},"right_expr":{"type":"numeric_atoms","value":2944,"base":4}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1334,"base":4}}}}},"used_operators":["FWz7pXsQhA","IwW236VD4Y","kbkesczE7y","0ajvFaJAv0","18saOjeKKm","jCPkEVoL5K","Z5m6OM72h2","YjI8oCXuph"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","cHh1gJQ2o6","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7081","layer":4},{"info":"number node, value=2427","layer":4},{"info":"compute binary expreesion, left_input=7081, right_input=2427, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3049","layer":4},{"info":"compute unary expreesion, input=3049, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2807","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2807, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=3768","layer":4},{"info":"number node, value=2944","layer":4},{"info":"compute binary expreesion, left_input=3768, right_input=2944, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7536","layer":3},{"info":"number node, value=1334","layer":4},{"info":"compute unary expreesion, input=1334, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1454","layer":3},{"info":"compute binary expreesion, left_input=7536, right_input=-1454, 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=868, right_input=-447, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-542","layer":1},{"info":"compute unary expreesion, input=-542, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⊊≼∋((⪩⨒∯1232221⫁⪩⨒∯211323≬⋮(⇠⪩⨒∯233221))≠≀(⪩⨒∯322320∘⪩⨒∯232000)⇻⋧≁(⫇⪩⨒∯110312))=NaN","reverse_text":"NaN=⊊≼∋((⪩⨒∯1232221⫁⪩⨒∯211323≬⋮(⇠⪩⨒∯233221))≠≀(⪩⨒∯322320∘⪩⨒∯232000)⇻⋧≁(⫇⪩⨒∯110312))","cot":[{"info":"⪩⨒∯1232221⫁⪩⨒∯211323=⪩⨒∯2200","layer":3},{"info":"⇠⪩⨒∯233221=⪩⨒∯-223313","layer":3},{"info":"⪩⨒∯2200≬⋮⪩⨒∯-223313=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯322320∘⪩⨒∯232000=⪩⨒∯1311300","layer":3},{"info":"⫇⪩⨒∯110312=⪩⨒∯-112232","layer":3},{"info":"⪩⨒∯1311300⇻⋧≁⪩⨒∯-112232=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯31210≠≀⪩⨒∯-12333=⪩⨒∯-20132","layer":1},{"info":"⊊≼∋⪩⨒∯-20132=NaN","layer":0}]}
{"id":150,"expression_no_base_symbol":"(($3344$∳⫺$1296$)⪝($2113$⩁)%($1249$⪘⫢$1323$)⇤($1602$-$5012$))⪬(($6843$⫰⋱$4893$)∘($1639$⪶≀⋏$1231$)∠⫱(⫛⫱⨽($3528$⩍⋽⫝̸$8101$)))","expression":"((⪩⨒∯310100∳⫺⪩⨒∯110100)⪝(⪩⨒∯201001⩁)%(⪩⨒∯103201⪘⫢⪩⨒∯110223)⇤(⪩⨒∯121002-⪩⨒∯1032110))⪬((⪩⨒∯1222323⫰⋱⪩⨒∯1030131)∘(⪩⨒∯121213⪶≀⋏⪩⨒∯103033)∠⫱(⫛⫱⨽(⪩⨒∯313020⩍⋽⫝̸⪩⨒∯1332211)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2558,"operation_count":14,"complexity_ratio":182.71428571428572,"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":3344,"base":4},"right_expr":{"type":"numeric_atoms","value":1296,"base":4}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":2113,"base":4}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1249,"base":4},"right_expr":{"type":"numeric_atoms","value":1323,"base":4}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1602,"base":4},"right_expr":{"type":"numeric_atoms","value":5012,"base":4}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":6843,"base":4},"right_expr":{"type":"numeric_atoms","value":4893,"base":4}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1639,"base":4},"right_expr":{"type":"numeric_atoms","value":1231,"base":4}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":3528,"base":4},"right_expr":{"type":"numeric_atoms","value":8101,"base":4}}}}},"used_operators":["Ez1Nq5fNfI","k8jYdgA6NY","wicAB68Tmb","AzXXKTstlj","5GqDbVmqXU","YSKBFp38Pu","oacrs7FA3X","rysDP5nf3Z","QvoQhV0rrE","Z5m6OM72h2","6o9Blt3TJ6","zR4jO40bMj","DlLNRPXxWL","BiWNJpBvwn"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rGHVDoGpnC","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⪩⨒∯103102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3344","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=3344, right_input=1296, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=2113","layer":4},{"info":"compute unary expreesion, input=2113, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-14124","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-14124, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-55855","layer":2},{"info":"number node, value=1249","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=1323, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2374","layer":3},{"info":"number node, value=1602","layer":4},{"info":"number node, value=5012","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=5012, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3410","layer":3},{"info":"compute binary expreesion, left_input=2374, right_input=-3410, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=8028","layer":2},{"info":"compute binary expreesion, left_input=-55855, right_input=8028, op_id = k8jYdgA6NY binary_op_definition= 'None', output=341","layer":1},{"info":"number node, value=6843","layer":4},{"info":"number node, value=4893","layer":4},{"info":"compute binary expreesion, left_input=6843, right_input=4893, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-6810","layer":3},{"info":"number node, value=1639","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=1231, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7611","layer":3},{"info":"compute binary expreesion, left_input=-6810, right_input=-7611, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7190","layer":2},{"info":"number node, value=3528","layer":4},{"info":"number node, value=8101","layer":4},{"info":"compute binary expreesion, left_input=3528, right_input=8101, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=7155","layer":3},{"info":"compute unary expreesion, input=7155, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=7190, right_input=0, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=7190","layer":1},{"info":"compute binary expreesion, left_input=341, right_input=7190, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯310100∳⫺⪩⨒∯110100)⪝(⪩⨒∯201001⩁)%(⪩⨒∯103201⪘⫢⪩⨒∯110223)⇤(⪩⨒∯121002-⪩⨒∯1032110))⪬((⪩⨒∯1222323⫰⋱⪩⨒∯1030131)∘(⪩⨒∯121213⪶≀⋏⪩⨒∯103033)∠⫱(⫛⫱⨽(⪩⨒∯313020⩍⋽⫝̸⪩⨒∯1332211)))=⪩⨒∯103102","reverse_text":"⪩⨒∯103102=((⪩⨒∯310100∳⫺⪩⨒∯110100)⪝(⪩⨒∯201001⩁)%(⪩⨒∯103201⪘⫢⪩⨒∯110223)⇤(⪩⨒∯121002-⪩⨒∯1032110))⪬((⪩⨒∯1222323⫰⋱⪩⨒∯1030131)∘(⪩⨒∯121213⪶≀⋏⪩⨒∯103033)∠⫱(⫛⫱⨽(⪩⨒∯313020⩍⋽⫝̸⪩⨒∯1332211)))","cot":[{"info":"⪩⨒∯310100∳⫺⪩⨒∯110100=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯201001⩁=⪩⨒∯-3130230","layer":3},{"info":"⪩⨒∯-10010⪝⪩⨒∯-3130230=⪩⨒∯-31220233","layer":2},{"info":"⪩⨒∯103201⪘⫢⪩⨒∯110223=⪩⨒∯211012","layer":3},{"info":"⪩⨒∯121002-⪩⨒∯1032110=⪩⨒∯-311102","layer":3},{"info":"⪩⨒∯211012⇤⪩⨒∯-311102=⪩⨒∯1331130","layer":2},{"info":"⪩⨒∯-31220233%⪩⨒∯1331130=⪩⨒∯11111","layer":1},{"info":"⪩⨒∯1222323⫰⋱⪩⨒∯1030131=⪩⨒∯-1222122","layer":3},{"info":"⪩⨒∯121213⪶≀⋏⪩⨒∯103033=⪩⨒∯-1312323","layer":3},{"info":"⪩⨒∯-1222122∘⪩⨒∯-1312323=⪩⨒∯1300112","layer":2},{"info":"⪩⨒∯313020⩍⋽⫝̸⪩⨒∯1332211=⪩⨒∯1233303","layer":3},{"info":"⫛⫱⨽⪩⨒∯1233303=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1300112∠⫱⪩⨒∯0=⪩⨒∯1300112","layer":1},{"info":"⪩⨒∯11111⪬⪩⨒∯1300112=⪩⨒∯103102","layer":0}]}
{"id":151,"expression_no_base_symbol":"(($1544$↺$5309$)≥⨤⩑$2108$⪟⇏$4280$)⨸(⊿$1001$↢$3941$)+⪬∐(+⊝⨔((⊵⊁$4528$)⋻⩜⩜$5458$↢$2722$))","expression":"((⪩⨒∯120020↺⪩⨒∯1102331)≥⨤⩑⪩⨒∯200330⪟⇏⪩⨒∯1002320)⨸(⊿⪩⨒∯33221↢⪩⨒∯331211)+⪬∐(+⊝⨔((⊵⊁⪩⨒∯1012300)⋻⩜⩜⪩⨒∯1111102↢⪩⨒∯222202))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":71141,"operation_count":11,"complexity_ratio":6467.363636363636,"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":1544,"base":4},"right_expr":{"type":"numeric_atoms","value":5309,"base":4}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2108,"base":4},"right_expr":{"type":"numeric_atoms","value":4280,"base":4}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1001,"base":4},"right_expr":{"type":"numeric_atoms","value":3941,"base":4}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":4528,"base":4}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":5458,"base":4},"right_expr":{"type":"numeric_atoms","value":2722,"base":4}}}}},"used_operators":["2GS7woTJqF","KmoU8R5UQR","gJLn6v0xnP","7j4O788W3g","GODebY97qR","DO4fhlbJSI","WR6HLWljOP","DhbWaqg5eL","oDCm7WA9JY","AvED76WdY7"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","uBihLCJcMX","k8jYdgA6NY"],"result":"⪩⨒∯-1303230","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"number node, value=5309","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=5309, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5309","layer":3},{"info":"number node, value=2108","layer":4},{"info":"number node, value=4280","layer":4},{"info":"compute binary expreesion, left_input=2108, right_input=4280, 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=5309, 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=1001","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3941, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=517","layer":3},{"info":"compute unary expreesion, input=517, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-2806","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-2806, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2468","layer":1},{"info":"number node, value=4528","layer":4},{"info":"compute unary expreesion, input=4528, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=26098","layer":3},{"info":"number node, value=5458","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=5458, right_input=2722, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4974","layer":3},{"info":"compute binary expreesion, left_input=26098, right_input=4974, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=52196","layer":2},{"info":"compute unary expreesion, input=52196, 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=2468, right_input=1522, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-7404","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯120020↺⪩⨒∯1102331)≥⨤⩑⪩⨒∯200330⪟⇏⪩⨒∯1002320)⨸(⊿⪩⨒∯33221↢⪩⨒∯331211)+⪬∐(+⊝⨔((⊵⊁⪩⨒∯1012300)⋻⩜⩜⪩⨒∯1111102↢⪩⨒∯222202))=⪩⨒∯-1303230","reverse_text":"⪩⨒∯-1303230=((⪩⨒∯120020↺⪩⨒∯1102331)≥⨤⩑⪩⨒∯200330⪟⇏⪩⨒∯1002320)⨸(⊿⪩⨒∯33221↢⪩⨒∯331211)+⪬∐(+⊝⨔((⊵⊁⪩⨒∯1012300)⋻⩜⩜⪩⨒∯1111102↢⪩⨒∯222202))","cot":[{"info":"⪩⨒∯120020↺⪩⨒∯1102331=⪩⨒∯1102331","layer":3},{"info":"⪩⨒∯200330⪟⇏⪩⨒∯1002320=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯1102331≥⨤⩑⪩⨒∯-1=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯33221↢⪩⨒∯331211=⪩⨒∯20011","layer":3},{"info":"⊿⪩⨒∯20011=⪩⨒∯-223312","layer":2},{"info":"⪩⨒∯103102⨸⪩⨒∯-223312=⪩⨒∯212210","layer":1},{"info":"⊵⊁⪩⨒∯1012300=⪩⨒∯12113302","layer":3},{"info":"⪩⨒∯1111102↢⪩⨒∯222202=⪩⨒∯1031232","layer":3},{"info":"⪩⨒∯12113302⋻⩜⩜⪩⨒∯1031232=⪩⨒∯30233210","layer":2},{"info":"+⊝⨔⪩⨒∯30233210=⪩⨒∯113302","layer":1},{"info":"⪩⨒∯212210+⪬∐⪩⨒∯113302=⪩⨒∯-1303230","layer":0}]}
{"id":152,"expression_no_base_symbol":"($5317$⫯⪬∳$2405$/$3436$⊱⇼⊻$3713$)⊱⇼⊻(⊀($1006$⋹))⋫","expression":"(⪩⨒∯1103011⫯⪬∳⪩⨒∯211211/⪩⨒∯311230⊱⇼⊻⪩⨒∯322001)⊱⇼⊻(⊀(⪩⨒∯33232⋹))⋫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3191,"operation_count":7,"complexity_ratio":455.85714285714283,"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":5317,"base":4},"right_expr":{"type":"numeric_atoms","value":2405,"base":4}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3436,"base":4},"right_expr":{"type":"numeric_atoms","value":3713,"base":4}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":1006,"base":4}}}}},"used_operators":["JL8yIekQnl","FyVja0WsTP","XhwjNDsVaA","d7ASUq0ydm","oPMjh9089D","opAxDRczMr"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","rysDP5nf3Z","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL"],"result":"⪩⨒∯233032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5317","layer":4},{"info":"number node, value=2405","layer":4},{"info":"compute binary expreesion, left_input=5317, right_input=2405, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=24213","layer":3},{"info":"number node, value=3436","layer":4},{"info":"number node, value=3713","layer":4},{"info":"compute binary expreesion, left_input=3436, right_input=3713, 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=24213, right_input=434, op_id = XhwjNDsVaA binary_op_definition= 'None', output=55","layer":2},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, 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 = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=-342","layer":2},{"info":"compute binary expreesion, left_input=55, right_input=-342, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=3022","layer":1},{"info":"compute unary expreesion, input=3022, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3022","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1103011⫯⪬∳⪩⨒∯211211/⪩⨒∯311230⊱⇼⊻⪩⨒∯322001)⊱⇼⊻(⊀(⪩⨒∯33232⋹))⋫=⪩⨒∯233032","reverse_text":"⪩⨒∯233032=(⪩⨒∯1103011⫯⪬∳⪩⨒∯211211/⪩⨒∯311230⊱⇼⊻⪩⨒∯322001)⊱⇼⊻(⊀(⪩⨒∯33232⋹))⋫","cot":[{"info":"⪩⨒∯1103011⫯⪬∳⪩⨒∯211211=⪩⨒∯11322111","layer":3},{"info":"⪩⨒∯311230⊱⇼⊻⪩⨒∯322001=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯11322111/⪩⨒∯12302=⪩⨒∯313","layer":2},{"info":"⪩⨒∯33232⋹=⪩⨒∯-110","layer":3},{"info":"⊀⪩⨒∯-110=⪩⨒∯-11112","layer":2},{"info":"⪩⨒∯313⊱⇼⊻⪩⨒∯-11112=⪩⨒∯233032","layer":1},{"info":"⪩⨒∯233032⋫=⪩⨒∯233032","layer":0}]}
{"id":153,"expression_no_base_symbol":"(($6143$⋝⋈⪟$6402$)∇⊂⋱($1472$⪕$4551$)⊾⪯⋞$1467$≌$3567$⪔⊥(↴⪽⋼$1456$))⫢⨠(($1467$⫚↹⊑$5606$)⋝⋈⪟$1899$⨽∌$1705$)⊕∕(⊁⨺($3653$∧))","expression":"((⪩⨒∯1133333⋝⋈⪟⪩⨒∯1210002)∇⊂⋱(⪩⨒∯113000⪕⪩⨒∯1013013)⊾⪯⋞⪩⨒∯112323≌⪩⨒∯313233⪔⊥(↴⪽⋼⪩⨒∯112300))⫢⨠((⪩⨒∯112323⫚↹⊑⪩⨒∯1113212)⋝⋈⪟⪩⨒∯131223⨽∌⪩⨒∯122221)⊕∕(⊁⨺(⪩⨒∯321011∧))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3958,"operation_count":14,"complexity_ratio":282.7142857142857,"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":6143,"base":4},"right_expr":{"type":"numeric_atoms","value":6402,"base":4}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1472,"base":4},"right_expr":{"type":"numeric_atoms","value":4551,"base":4}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1467,"base":4},"right_expr":{"type":"numeric_atoms","value":3567,"base":4}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1456,"base":4}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1467,"base":4},"right_expr":{"type":"numeric_atoms","value":5606,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1899,"base":4},"right_expr":{"type":"numeric_atoms","value":1705,"base":4}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3653,"base":4}}}}},"used_operators":["xlXykHWxX1","HK0tfVPux8","nhYeJWJD5X","2DDjHMKMc0","umQnsF7QlU","HJ9erzHUuu","lyWz822IDG","5TUYCnJO6w","9cloC0Ngie","dfKe02y8D2","9samAPKr6k","PxiHyQbrIp","z63VuFQld9"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=6143","layer":4},{"info":"number node, value=6402","layer":4},{"info":"compute binary expreesion, left_input=6143, right_input=6402, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6143","layer":3},{"info":"number node, value=1472","layer":4},{"info":"number node, value=4551","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=4551, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=6143, right_input=-55, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=11740","layer":2},{"info":"number node, value=1467","layer":4},{"info":"number node, value=3567","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=3567, 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=1456","layer":4},{"info":"compute unary expreesion, input=1456, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1456","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1456, 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":"compute binary expreesion, left_input=11740, 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=1467","layer":4},{"info":"number node, value=5606","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=5606, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=1705, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-447","layer":2},{"info":"number node, value=3653","layer":4},{"info":"compute unary expreesion, input=3653, 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 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":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1133333⋝⋈⪟⪩⨒∯1210002)∇⊂⋱(⪩⨒∯113000⪕⪩⨒∯1013013)⊾⪯⋞⪩⨒∯112323≌⪩⨒∯313233⪔⊥(↴⪽⋼⪩⨒∯112300))⫢⨠((⪩⨒∯112323⫚↹⊑⪩⨒∯1113212)⋝⋈⪟⪩⨒∯131223⨽∌⪩⨒∯122221)⊕∕(⊁⨺(⪩⨒∯321011∧))=NaN","reverse_text":"NaN=((⪩⨒∯1133333⋝⋈⪟⪩⨒∯1210002)∇⊂⋱(⪩⨒∯113000⪕⪩⨒∯1013013)⊾⪯⋞⪩⨒∯112323≌⪩⨒∯313233⪔⊥(↴⪽⋼⪩⨒∯112300))⫢⨠((⪩⨒∯112323⫚↹⊑⪩⨒∯1113212)⋝⋈⪟⪩⨒∯131223⨽∌⪩⨒∯122221)⊕∕(⊁⨺(⪩⨒∯321011∧))","cot":[{"info":"⪩⨒∯1133333⋝⋈⪟⪩⨒∯1210002=⪩⨒∯1133333","layer":3},{"info":"⪩⨒∯113000⪕⪩⨒∯1013013=⪩⨒∯-313","layer":3},{"info":"⪩⨒∯1133333∇⊂⋱⪩⨒∯-313=⪩⨒∯2313130","layer":2},{"info":"⪩⨒∯112323≌⪩⨒∯313233=NaN","layer":3},{"info":"↴⪽⋼⪩⨒∯112300=⪩⨒∯112300","layer":3},{"info":"NaN⪔⊥⪩⨒∯112300=NaN","layer":2},{"info":"⪩⨒∯2313130⊾⪯⋞NaN=NaN","layer":1},{"info":"⪩⨒∯112323⫚↹⊑⪩⨒∯1113212=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯131223⨽∌⪩⨒∯122221=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-12333⋝⋈⪟⪩⨒∯0=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯321011∧=NaN","layer":3},{"info":"⊁⨺NaN=NaN","layer":2},{"info":"⪩⨒∯-12333⊕∕NaN=⪩⨒∯-12333","layer":1},{"info":"NaN⫢⨠⪩⨒∯-12333=NaN","layer":0}]}
{"id":154,"expression_no_base_symbol":"(⇘($2501$⫰⋱$2087$))↺(⊽$3608$)⊔$7748$⪚$2993$⩨(⋼∭⪍((⋃$5071$)⪚⩙≫))","expression":"(⇘(⪩⨒∯213011⫰⋱⪩⨒∯200213))↺(⊽⪩⨒∯320120)⊔⪩⨒∯1321010⪚⪩⨒∯232301⩨(⋼∭⪍((⋃⪩⨒∯1033033)⪚⩙≫))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5068,"operation_count":10,"complexity_ratio":506.8,"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":2501,"base":4},"right_expr":{"type":"numeric_atoms","value":2087,"base":4}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":3608,"base":4}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":7748,"base":4},"right_expr":{"type":"numeric_atoms","value":2993,"base":4}}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":5071,"base":4}}}}},"used_operators":["2DlMacCsIx","7j4O788W3g","MGuIdZPyUC","6o9Blt3TJ6","E4l6HwMY31","QxG7OkqoLX","HrjLwUk87U","DbCuESL50I","4n53wtyJvv","3mBM5G4a3l"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2501","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=2087, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2468","layer":3},{"info":"compute unary expreesion, input=-2468, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-207094097","layer":2},{"info":"number node, value=3608","layer":4},{"info":"compute unary expreesion, input=3608, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=8738","layer":3},{"info":"number node, value=7748","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=7748, right_input=2993, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=9154","layer":3},{"info":"compute binary expreesion, left_input=8738, right_input=9154, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=60846","layer":2},{"info":"compute binary expreesion, left_input=-207094097, right_input=60846, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=60846","layer":1},{"info":"number node, value=5071","layer":4},{"info":"compute unary expreesion, input=5071, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=10244","layer":3},{"info":"compute unary expreesion, input=10244, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=60846, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇘(⪩⨒∯213011⫰⋱⪩⨒∯200213))↺(⊽⪩⨒∯320120)⊔⪩⨒∯1321010⪚⪩⨒∯232301⩨(⋼∭⪍((⋃⪩⨒∯1033033)⪚⩙≫))=NaN","reverse_text":"NaN=(⇘(⪩⨒∯213011⫰⋱⪩⨒∯200213))↺(⊽⪩⨒∯320120)⊔⪩⨒∯1321010⪚⪩⨒∯232301⩨(⋼∭⪍((⋃⪩⨒∯1033033)⪚⩙≫))","cot":[{"info":"⪩⨒∯213011⫰⋱⪩⨒∯200213=⪩⨒∯-212210","layer":3},{"info":"⇘⪩⨒∯-212210=⪩⨒∯-30112000011101","layer":2},{"info":"⊽⪩⨒∯320120=⪩⨒∯2020202","layer":3},{"info":"⪩⨒∯1321010⪚⪩⨒∯232301=⪩⨒∯2033002","layer":3},{"info":"⪩⨒∯2020202⊔⪩⨒∯2033002=⪩⨒∯32312232","layer":2},{"info":"⪩⨒∯-30112000011101↺⪩⨒∯32312232=⪩⨒∯32312232","layer":1},{"info":"⋃⪩⨒∯1033033=⪩⨒∯2200010","layer":3},{"info":"⪩⨒∯2200010⪚⩙≫=NaN","layer":2},{"info":"⋼∭⪍NaN=NaN","layer":1},{"info":"⪩⨒∯32312232⩨NaN=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"((⨈⫕$2672$⇤$7554$)⫏⊷)⫚↹⊑(↞≼($3197$⫌⩉⩟$6015$))⨐⩸⫘$8331$⪮%⊝$1079$⩇∃⫛($3645$⋭≵$6682$)","expression":"((⨈⫕⪩⨒∯221300⇤⪩⨒∯1312002)⫏⊷)⫚↹⊑(↞≼(⪩⨒∯301331⫌⩉⩟⪩⨒∯1131333))⨐⩸⫘⪩⨒∯2002023⪮%⊝⪩⨒∯100313⩇∃⫛(⪩⨒∯320331⋭≵⪩⨒∯1220122)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30616,"operation_count":10,"complexity_ratio":3061.6,"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":2672,"base":4},"right_expr":{"type":"numeric_atoms","value":7554,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3197,"base":4},"right_expr":{"type":"numeric_atoms","value":6015,"base":4}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8331,"base":4},"right_expr":{"type":"numeric_atoms","value":1079,"base":4}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3645,"base":4},"right_expr":{"type":"numeric_atoms","value":6682,"base":4}}}}},"used_operators":["dfKe02y8D2","dcShxvzhyw","megm06wKyl","YSKBFp38Pu","fu6greOZ01","DE7zCoGJt9","XIIwhv8d0m","1aApVXNlOP","IWmyXbctLI","jBncVCNhdl"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","3ViojmjbAp","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⪩⨒∯-12333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2672","layer":4},{"info":"number node, value=7554","layer":4},{"info":"compute binary expreesion, left_input=2672, right_input=7554, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-48282","layer":3},{"info":"compute unary expreesion, input=-48282, 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":"compute unary expreesion, input=-21, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":1},{"info":"number node, value=3197","layer":4},{"info":"number node, value=6015","layer":4},{"info":"compute binary expreesion, left_input=3197, right_input=6015, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-814","layer":2},{"info":"number node, value=8331","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=8331, right_input=1079, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16978","layer":3},{"info":"number node, value=3645","layer":4},{"info":"number node, value=6682","layer":4},{"info":"compute binary expreesion, left_input=3645, right_input=6682, 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=16978, right_input=67, 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=-16438","layer":2},{"info":"compute binary expreesion, left_input=-814, right_input=-16438, 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":"compute binary expreesion, left_input=-818, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":4,"result_base":4,"text":"((⨈⫕⪩⨒∯221300⇤⪩⨒∯1312002)⫏⊷)⫚↹⊑(↞≼(⪩⨒∯301331⫌⩉⩟⪩⨒∯1131333))⨐⩸⫘⪩⨒∯2002023⪮%⊝⪩⨒∯100313⩇∃⫛(⪩⨒∯320331⋭≵⪩⨒∯1220122)=⪩⨒∯-12333","reverse_text":"⪩⨒∯-12333=((⨈⫕⪩⨒∯221300⇤⪩⨒∯1312002)⫏⊷)⫚↹⊑(↞≼(⪩⨒∯301331⫌⩉⩟⪩⨒∯1131333))⨐⩸⫘⪩⨒∯2002023⪮%⊝⪩⨒∯100313⩇∃⫛(⪩⨒∯320331⋭≵⪩⨒∯1220122)","cot":[{"info":"⪩⨒∯221300⇤⪩⨒∯1312002=⪩⨒∯-23302122","layer":3},{"info":"⨈⫕⪩⨒∯-23302122=⪩⨒∯-111","layer":2},{"info":"⪩⨒∯-111⫏⊷=⪩⨒∯-30302","layer":1},{"info":"⪩⨒∯301331⫌⩉⩟⪩⨒∯1131333=⪩⨒∯-302","layer":3},{"info":"↞≼⪩⨒∯-302=⪩⨒∯-30232","layer":2},{"info":"⪩⨒∯2002023⪮%⊝⪩⨒∯100313=⪩⨒∯10021102","layer":3},{"info":"⪩⨒∯320331⋭≵⪩⨒∯1220122=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯10021102⩇∃⫛⪩⨒∯1003=⪩⨒∯-10000312","layer":2},{"info":"⪩⨒∯-30232⨐⩸⫘⪩⨒∯-10000312=NaN","layer":1},{"info":"⪩⨒∯-30302⫚↹⊑NaN=⪩⨒∯-12333","layer":0}]}
{"id":156,"expression_no_base_symbol":"(($1009$∠⫱$3950$)⪚($6052$≳⇉$4199$)↡⊰⫅$2869$⪃⊛⇣$3047$↢($1259$⩌⋺$8817$))⫒⫫(((⩏⊷≩$4105$)⩁⩘($2001$≹⇙⪍$1196$))⊍)","expression":"((⪩⨒∯33301∠⫱⪩⨒∯331232)⪚(⪩⨒∯1132210≳⇉⪩⨒∯1001213)↡⊰⫅⪩⨒∯230311⪃⊛⇣⪩⨒∯233213↢(⪩⨒∯103223⩌⋺⪩⨒∯2021301))⫒⫫(((⩏⊷≩⪩⨒∯1000021)⩁⩘(⪩⨒∯133101≹⇙⪍⪩⨒∯102230))⊍)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":325126810,"operation_count":12,"complexity_ratio":27093900.833333332,"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":1009,"base":4},"right_expr":{"type":"numeric_atoms","value":3950,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":6052,"base":4},"right_expr":{"type":"numeric_atoms","value":4199,"base":4}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2869,"base":4},"right_expr":{"type":"numeric_atoms","value":3047,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1259,"base":4},"right_expr":{"type":"numeric_atoms","value":8817,"base":4}}}},"right_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":4105,"base":4}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2001,"base":4},"right_expr":{"type":"numeric_atoms","value":1196,"base":4}}}}},"used_operators":["6Ko8hGgeMq","VCtxkLNOzz","HrjLwUk87U","QvoQhV0rrE","V0kx6qeWkN","WR6HLWljOP","rrgAzCduG9","g7Hmc5v1ko","3nqY3DE9mg","gub5Cegaqo","uOZ1tnYMDE","AHs5Up7iyr"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","DpFCA1CohY","IWmyXbctLI","23Mk6UjR3U","12rbrZMWeM","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=3950, 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=6052","layer":4},{"info":"number node, value=4199","layer":4},{"info":"compute binary expreesion, left_input=6052, right_input=4199, 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=1234, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"number node, value=2869","layer":4},{"info":"number node, value=3047","layer":4},{"info":"compute binary expreesion, left_input=2869, right_input=3047, 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=1259","layer":4},{"info":"number node, value=8817","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=8817, 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=-10197","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-10197, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=750","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=750, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=1500","layer":1},{"info":"number node, value=4105","layer":4},{"info":"compute unary expreesion, input=4105, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=7909","layer":3},{"info":"number node, value=2001","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=1196, 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=7909, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1500, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯33301∠⫱⪩⨒∯331232)⪚(⪩⨒∯1132210≳⇉⪩⨒∯1001213)↡⊰⫅⪩⨒∯230311⪃⊛⇣⪩⨒∯233213↢(⪩⨒∯103223⩌⋺⪩⨒∯2021301))⫒⫫(((⩏⊷≩⪩⨒∯1000021)⩁⩘(⪩⨒∯133101≹⇙⪍⪩⨒∯102230))⊍)=NaN","reverse_text":"NaN=((⪩⨒∯33301∠⫱⪩⨒∯331232)⪚(⪩⨒∯1132210≳⇉⪩⨒∯1001213)↡⊰⫅⪩⨒∯230311⪃⊛⇣⪩⨒∯233213↢(⪩⨒∯103223⩌⋺⪩⨒∯2021301))⫒⫫(((⩏⊷≩⪩⨒∯1000021)⩁⩘(⪩⨒∯133101≹⇙⪍⪩⨒∯102230))⊍)","cot":[{"info":"⪩⨒∯33301∠⫱⪩⨒∯331232=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯1132210≳⇉⪩⨒∯1001213=NaN","layer":3},{"info":"⪩⨒∯103102⪚NaN=NaN","layer":2},{"info":"⪩⨒∯230311⪃⊛⇣⪩⨒∯233213=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯103223⩌⋺⪩⨒∯2021301=⪩⨒∯-2133111","layer":3},{"info":"⪩⨒∯103102↢⪩⨒∯-2133111=⪩⨒∯23232","layer":2},{"info":"NaN↡⊰⫅⪩⨒∯23232=⪩⨒∯113130","layer":1},{"info":"⩏⊷≩⪩⨒∯1000021=⪩⨒∯1323211","layer":3},{"info":"⪩⨒∯133101≹⇙⪍⪩⨒∯102230=NaN","layer":3},{"info":"⪩⨒∯1323211⩁⩘NaN=NaN","layer":2},{"info":"NaN⊍=NaN","layer":1},{"info":"⪩⨒∯113130⫒⫫NaN=NaN","layer":0}]}
{"id":157,"expression_no_base_symbol":"⊙↵-(($2330$⫚↹⊑$3774$)⊝⪿⪼($1714$⪛⫼$2011$))≚⊃≕(≅≯⇸$3001$≃$2217$)","expression":"⊙↵-((⪩⨒∯210122⫚↹⊑⪩⨒∯322332)⊝⪿⪼(⪩⨒∯122302⪛⫼⪩⨒∯133123))≚⊃≕(≅≯⇸⪩⨒∯232321≃⪩⨒∯202221)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":68492,"operation_count":7,"complexity_ratio":9784.57142857143,"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":2330,"base":4},"right_expr":{"type":"numeric_atoms","value":3774,"base":4}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1714,"base":4},"right_expr":{"type":"numeric_atoms","value":2011,"base":4}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3001,"base":4},"right_expr":{"type":"numeric_atoms","value":2217,"base":4}}}}},"used_operators":["oWn0xqSxBt","Bmrmz2XGnR","3Oe9XWJUTD","dfKe02y8D2","hyuBjUqXlG","apS25hmuAe","YbVcJGFEVW"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⪩⨒∯3010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2330","layer":4},{"info":"number node, value=3774","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=3774, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1714","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=1714, right_input=2011, 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=-447, right_input=968, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=3227","layer":2},{"info":"number node, value=3001","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=3001, right_input=2217, 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=-12044","layer":3},{"info":"compute unary expreesion, input=-12044, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-40499","layer":2},{"info":"compute binary expreesion, left_input=3227, right_input=-40499, 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=-68256","layer":1},{"info":"compute unary expreesion, input=-68256, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":4,"result_base":4,"text":"⊙↵-((⪩⨒∯210122⫚↹⊑⪩⨒∯322332)⊝⪿⪼(⪩⨒∯122302⪛⫼⪩⨒∯133123))≚⊃≕(≅≯⇸⪩⨒∯232321≃⪩⨒∯202221)=⪩⨒∯3010","reverse_text":"⪩⨒∯3010=⊙↵-((⪩⨒∯210122⫚↹⊑⪩⨒∯322332)⊝⪿⪼(⪩⨒∯122302⪛⫼⪩⨒∯133123))≚⊃≕(≅≯⇸⪩⨒∯232321≃⪩⨒∯202221)","cot":[{"info":"⪩⨒∯210122⫚↹⊑⪩⨒∯322332=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯122302⪛⫼⪩⨒∯133123=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯-12333⊝⪿⪼⪩⨒∯33020=⪩⨒∯302123","layer":2},{"info":"⪩⨒∯232321≃⪩⨒∯202221=⪩⨒∯-2330030","layer":3},{"info":"≅≯⇸⪩⨒∯-2330030=⪩⨒∯-21320303","layer":2},{"info":"⪩⨒∯302123≚⊃≕⪩⨒∯-21320303=⪩⨒∯-100222200","layer":1},{"info":"⊙↵-⪩⨒∯-100222200=⪩⨒∯3010","layer":0}]}
{"id":158,"expression_no_base_symbol":"((($8189$⨴∎)∽$5829$⪨⊡$4410$)⨑≵⋬$2011$⋅⇍$2857$↙$3912$≁↽≥$5261$)∌↝(↯⪼($7132$≀⩗∶$2963$)⊱⇼⊻($1118$⨶))","expression":"(((⪩⨒∯1333331⨴∎)∽⪩⨒∯1123011⪨⊡⪩⨒∯1010322)⨑≵⋬⪩⨒∯133123⋅⇍⪩⨒∯230221↙⪩⨒∯331020≁↽≥⪩⨒∯1102031)∌↝(↯⪼(⪩⨒∯1233130≀⩗∶⪩⨒∯232103)⊱⇼⊻(⪩⨒∯101132⨶))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8379,"operation_count":12,"complexity_ratio":698.25,"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":8189,"base":4}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":5829,"base":4},"right_expr":{"type":"numeric_atoms","value":4410,"base":4}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2011,"base":4},"right_expr":{"type":"numeric_atoms","value":2857,"base":4}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3912,"base":4},"right_expr":{"type":"numeric_atoms","value":5261,"base":4}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":7132,"base":4},"right_expr":{"type":"numeric_atoms","value":2963,"base":4}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1118,"base":4}}}}},"used_operators":["9Isq31Ruls","XnXgA4xnOs","y4ImoPnbV5","CpSg5vQTgA","kuIXHzHcAH","yyfyN0ffXY","AdZkA7nFnk","ncHt1X6cMc","8jW3W4yZS5","FyVja0WsTP","8INZBEW696","rFxw8gIMmB"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","QMFrweE19q","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","f6k1SAg4EE","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8189","layer":4},{"info":"compute unary expreesion, input=8189, op_id = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=nan","layer":3},{"info":"number node, value=5829","layer":4},{"info":"number node, value=4410","layer":4},{"info":"compute binary expreesion, left_input=5829, right_input=4410, 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 = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"number node, value=2011","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=2857, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=3912","layer":4},{"info":"number node, value=5261","layer":4},{"info":"compute binary expreesion, left_input=3912, right_input=5261, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=68612","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=68612, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-22, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=7132","layer":4},{"info":"number node, value=2963","layer":4},{"info":"compute binary expreesion, left_input=7132, right_input=2963, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1118","layer":4},{"info":"compute unary expreesion, input=1118, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=490","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=490, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=2802","layer":2},{"info":"compute unary expreesion, input=2802, 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 = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1333331⨴∎)∽⪩⨒∯1123011⪨⊡⪩⨒∯1010322)⨑≵⋬⪩⨒∯133123⋅⇍⪩⨒∯230221↙⪩⨒∯331020≁↽≥⪩⨒∯1102031)∌↝(↯⪼(⪩⨒∯1233130≀⩗∶⪩⨒∯232103)⊱⇼⊻(⪩⨒∯101132⨶))=NaN","reverse_text":"NaN=(((⪩⨒∯1333331⨴∎)∽⪩⨒∯1123011⪨⊡⪩⨒∯1010322)⨑≵⋬⪩⨒∯133123⋅⇍⪩⨒∯230221↙⪩⨒∯331020≁↽≥⪩⨒∯1102031)∌↝(↯⪼(⪩⨒∯1233130≀⩗∶⪩⨒∯232103)⊱⇼⊻(⪩⨒∯101132⨶))","cot":[{"info":"⪩⨒∯1333331⨴∎=NaN","layer":3},{"info":"⪩⨒∯1123011⪨⊡⪩⨒∯1010322=⪩⨒∯0","layer":3},{"info":"NaN∽⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯133123⋅⇍⪩⨒∯230221=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯331020≁↽≥⪩⨒∯1102031=⪩⨒∯100300010","layer":3},{"info":"⪩⨒∯-112↙⪩⨒∯100300010=⪩⨒∯-112","layer":2},{"info":"NaN⨑≵⋬⪩⨒∯-112=NaN","layer":1},{"info":"⪩⨒∯1233130≀⩗∶⪩⨒∯232103=⪩⨒∯0","layer":3},{"info":"⪩⨒∯101132⨶=⪩⨒∯13222","layer":3},{"info":"⪩⨒∯0⊱⇼⊻⪩⨒∯13222=⪩⨒∯223302","layer":2},{"info":"↯⪼⪩⨒∯223302=⪩⨒∯-111","layer":1},{"info":"NaN∌↝⪩⨒∯-111=NaN","layer":0}]}
{"id":159,"expression_no_base_symbol":"⪭⩑⪱(($3093$⊾⪯⋞$4896$)⊟⇱)≚⊃≕(⨈⪑(≇⪴$1033$))","expression":"⪭⩑⪱((⪩⨒∯300111⊾⪯⋞⪩⨒∯1030200)⊟⇱)≚⊃≕(⨈⪑(≇⪴⪩⨒∯100021))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8181,"operation_count":6,"complexity_ratio":1363.5,"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":3093,"base":4},"right_expr":{"type":"numeric_atoms","value":4896,"base":4}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1033,"base":4}}}}},"used_operators":["SIgE0bArFf","Bmrmz2XGnR","03sUfWo75k","HK0tfVPux8","mp94q5OcYM","zoVPnxeHJ3"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","IWmyXbctLI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"⪩⨒∯133233123300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3093","layer":4},{"info":"number node, value=4896","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=4896, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=9366","layer":3},{"info":"compute unary expreesion, input=9366, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=19048","layer":2},{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1759","layer":3},{"info":"compute unary expreesion, input=-1759, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=19048, right_input=868, 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 unary expreesion, input=67, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":4,"result_base":4,"text":"⪭⩑⪱((⪩⨒∯300111⊾⪯⋞⪩⨒∯1030200)⊟⇱)≚⊃≕(⨈⪑(≇⪴⪩⨒∯100021))=⪩⨒∯133233123300","reverse_text":"⪩⨒∯133233123300=⪭⩑⪱((⪩⨒∯300111⊾⪯⋞⪩⨒∯1030200)⊟⇱)≚⊃≕(⨈⪑(≇⪴⪩⨒∯100021))","cot":[{"info":"⪩⨒∯300111⊾⪯⋞⪩⨒∯1030200=⪩⨒∯2102112","layer":3},{"info":"⪩⨒∯2102112⊟⇱=⪩⨒∯10221220","layer":2},{"info":"≇⪴⪩⨒∯100021=⪩⨒∯-123133","layer":3},{"info":"⨈⪑⪩⨒∯-123133=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯10221220≚⊃≕⪩⨒∯31210=⪩⨒∯1003","layer":1},{"info":"⪭⩑⪱⪩⨒∯1003=⪩⨒∯133233123300","layer":0}]}
{"id":160,"expression_no_base_symbol":"⨦⪝((⊗($6065$⫒⫫$7714$))∪⫐($7492$⋳⪒$7518$↬⩅∪))","expression":"⨦⪝((⊗(⪩⨒∯1132301⫒⫫⪩⨒∯1320202))∪⫐(⪩⨒∯1311010⋳⪒⪩⨒∯1311132↬⩅∪))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":72,"operation_count":6,"complexity_ratio":12.0,"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":6065,"base":4},"right_expr":{"type":"numeric_atoms","value":7714,"base":4}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7492,"base":4},"right_expr":{"type":"numeric_atoms","value":7518,"base":4}}}}},"used_operators":["SUjycxNXIR","7YooWSwCyH","RhiyfpczSx","6Ko8hGgeMq","VJ330n2nnx","12rbrZMWeM"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","rJVOvQCfKK","2DDjHMKMc0","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯-131130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6065","layer":4},{"info":"number node, value=7714","layer":4},{"info":"compute binary expreesion, left_input=6065, right_input=7714, 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 = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=nan","layer":2},{"info":"number node, value=7492","layer":4},{"info":"number node, value=7518","layer":4},{"info":"compute binary expreesion, left_input=7492, right_input=7518, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7179","layer":3},{"info":"compute unary expreesion, input=7179, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-21537","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21537, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":4,"result_base":4,"text":"⨦⪝((⊗(⪩⨒∯1132301⫒⫫⪩⨒∯1320202))∪⫐(⪩⨒∯1311010⋳⪒⪩⨒∯1311132↬⩅∪))=⪩⨒∯-131130","reverse_text":"⪩⨒∯-131130=⨦⪝((⊗(⪩⨒∯1132301⫒⫫⪩⨒∯1320202))∪⫐(⪩⨒∯1311010⋳⪒⪩⨒∯1311132↬⩅∪))","cot":[{"info":"⪩⨒∯1132301⫒⫫⪩⨒∯1320202=NaN","layer":3},{"info":"⊗NaN=NaN","layer":2},{"info":"⪩⨒∯1311010⋳⪒⪩⨒∯1311132=⪩⨒∯1300023","layer":3},{"info":"⪩⨒∯1300023↬⩅∪=⪩⨒∯-11100201","layer":2},{"info":"NaN∪⫐⪩⨒∯-11100201=NaN","layer":1},{"info":"⨦⪝NaN=⪩⨒∯-131130","layer":0}]}
{"id":161,"expression_no_base_symbol":"(($1265$⪘⫢$4657$)⨐(↔$2466$))⪝(($8312$↢$3647$)≴⪞⇿($2242$+⇶⊼$6323$))⊋≦⊧(⇤←($4287$⪊≅))∌$7585$⊉↱≁$2572$⪒⊣⊆($1022$⇍⊗$1426$)","expression":"((⪩⨒∯103301⪘⫢⪩⨒∯1020301)⨐(↔⪩⨒∯212202))⪝((⪩⨒∯2001320↢⪩⨒∯320333)≴⪞⇿(⪩⨒∯203002+⇶⊼⪩⨒∯1202303))⊋≦⊧(⇤←(⪩⨒∯1002333⪊≅))∌⪩⨒∯1312201⊉↱≁⪩⨒∯220030⪒⊣⊆(⪩⨒∯33332⇍⊗⪩⨒∯112102)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8164,"operation_count":14,"complexity_ratio":583.1428571428571,"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":1265,"base":4},"right_expr":{"type":"numeric_atoms","value":4657,"base":4}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2466,"base":4}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":8312,"base":4},"right_expr":{"type":"numeric_atoms","value":3647,"base":4}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2242,"base":4},"right_expr":{"type":"numeric_atoms","value":6323,"base":4}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":4287,"base":4}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":7585,"base":4},"right_expr":{"type":"numeric_atoms","value":2572,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1022,"base":4},"right_expr":{"type":"numeric_atoms","value":1426,"base":4}}}}},"used_operators":["oRDoc9rAEX","wicAB68Tmb","Noe24qw2ks","oacrs7FA3X","ruOEQAzv1W","lvlrscuwVU","WR6HLWljOP","TpPTUOHfaN","8cLx32lpNA","jfAgQ2OQeM","bjFbhXSADs","eRqsBgTDFp","w2P8NbNXyL","5uvYHDjeKN"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⪩⨒∯323000220","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":4},{"info":"number node, value=4657","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=4657, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2406","layer":3},{"info":"number node, value=2466","layer":4},{"info":"compute unary expreesion, input=2466, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2193","layer":3},{"info":"compute binary expreesion, left_input=2406, right_input=-2193, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4812","layer":2},{"info":"number node, value=8312","layer":4},{"info":"number node, value=3647","layer":4},{"info":"compute binary expreesion, left_input=8312, right_input=3647, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=7828","layer":3},{"info":"number node, value=2242","layer":4},{"info":"number node, value=6323","layer":4},{"info":"compute binary expreesion, left_input=2242, right_input=6323, 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=7828, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=114156284","layer":2},{"info":"compute binary expreesion, left_input=-4812, right_input=114156284, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=236","layer":1},{"info":"number node, value=4287","layer":4},{"info":"compute unary expreesion, input=4287, 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 = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=1366","layer":2},{"info":"number node, value=7585","layer":4},{"info":"number node, value=2572","layer":4},{"info":"compute binary expreesion, left_input=7585, right_input=2572, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=60366","layer":3},{"info":"number node, value=1022","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=1426, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=60366, right_input=-244, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=120732","layer":2},{"info":"compute binary expreesion, left_input=1366, right_input=120732, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-120732","layer":1},{"info":"compute binary expreesion, left_input=236, right_input=-120732, 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=241704","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯103301⪘⫢⪩⨒∯1020301)⨐(↔⪩⨒∯212202))⪝((⪩⨒∯2001320↢⪩⨒∯320333)≴⪞⇿(⪩⨒∯203002+⇶⊼⪩⨒∯1202303))⊋≦⊧(⇤←(⪩⨒∯1002333⪊≅))∌⪩⨒∯1312201⊉↱≁⪩⨒∯220030⪒⊣⊆(⪩⨒∯33332⇍⊗⪩⨒∯112102)=⪩⨒∯323000220","reverse_text":"⪩⨒∯323000220=((⪩⨒∯103301⪘⫢⪩⨒∯1020301)⨐(↔⪩⨒∯212202))⪝((⪩⨒∯2001320↢⪩⨒∯320333)≴⪞⇿(⪩⨒∯203002+⇶⊼⪩⨒∯1202303))⊋≦⊧(⇤←(⪩⨒∯1002333⪊≅))∌⪩⨒∯1312201⊉↱≁⪩⨒∯220030⪒⊣⊆(⪩⨒∯33332⇍⊗⪩⨒∯112102)","cot":[{"info":"⪩⨒∯103301⪘⫢⪩⨒∯1020301=⪩⨒∯211212","layer":3},{"info":"↔⪩⨒∯212202=⪩⨒∯-202101","layer":3},{"info":"⪩⨒∯211212⨐⪩⨒∯-202101=⪩⨒∯-1023030","layer":2},{"info":"⪩⨒∯2001320↢⪩⨒∯320333=⪩⨒∯1322110","layer":3},{"info":"⪩⨒∯203002+⇶⊼⪩⨒∯1202303=NaN","layer":3},{"info":"⪩⨒∯1322110≴⪞⇿NaN=⪩⨒∯12303132023330","layer":2},{"info":"⪩⨒∯-1023030⪝⪩⨒∯12303132023330=⪩⨒∯3230","layer":1},{"info":"⪩⨒∯1002333⪊≅=⪩⨒∯0","layer":3},{"info":"⇤←⪩⨒∯0=⪩⨒∯111112","layer":2},{"info":"⪩⨒∯1312201⊉↱≁⪩⨒∯220030=⪩⨒∯32233032","layer":3},{"info":"⪩⨒∯33332⇍⊗⪩⨒∯112102=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯32233032⪒⊣⊆⪩⨒∯-3310=⪩⨒∯131132130","layer":2},{"info":"⪩⨒∯111112∌⪩⨒∯131132130=⪩⨒∯-131132130","layer":1},{"info":"⪩⨒∯3230⊋≦⊧⪩⨒∯-131132130=⪩⨒∯323000220","layer":0}]}
{"id":162,"expression_no_base_symbol":"(($2746$⊋≦⊧$2265$)⋕⪉⪜($1074$∝$3735$)∑⇟⊟(⇾⩊⇾($4714$⩚⊴⇥$1192$)))⩼⇪↪((⊢≑≆$6417$⨐$7879$)+⪬∐(($1684$⩹$3815$)⊉≛↸$2431$⇴∐$3590$))","expression":"((⪩⨒∯222322⊋≦⊧⪩⨒∯203121)⋕⪉⪜(⪩⨒∯100302∝⪩⨒∯322113)∑⇟⊟(⇾⩊⇾(⪩⨒∯1021222⩚⊴⇥⪩⨒∯102220)))⩼⇪↪((⊢≑≆⪩⨒∯1210101⨐⪩⨒∯1323013)+⪬∐((⪩⨒∯122110⩹⪩⨒∯323213)⊉≛↸⪩⨒∯211333⇴∐⪩⨒∯320012))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":143,"operation_count":13,"complexity_ratio":11.0,"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":2746,"base":4},"right_expr":{"type":"numeric_atoms","value":2265,"base":4}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1074,"base":4},"right_expr":{"type":"numeric_atoms","value":3735,"base":4}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4714,"base":4},"right_expr":{"type":"numeric_atoms","value":1192,"base":4}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":6417,"base":4},"right_expr":{"type":"numeric_atoms","value":7879,"base":4}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1684,"base":4},"right_expr":{"type":"numeric_atoms","value":3815,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2431,"base":4},"right_expr":{"type":"numeric_atoms","value":3590,"base":4}}}}},"used_operators":["ocnLzx9CaJ","U7g4x0WXJJ","z6LnFrNh4i","oRDoc9rAEX","cTDWOvIxvz","bx9Z9DAK5y","NTOWxs364D","2GS7woTJqF","27wFxooxGf","Noe24qw2ks","DZ8iAZOCBD","2Wsdkap16l","HnzytWxmAO"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","7j4O788W3g","W4YGzv6Whe","COABgblf1C","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2746","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=2746, right_input=2265, 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=-4290","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=3735","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=3735, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1079","layer":3},{"info":"compute binary expreesion, left_input=-4290, right_input=1079, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=4714","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=4714, right_input=1192, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6027","layer":3},{"info":"compute unary expreesion, input=-6027, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=47757","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=47757, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6417","layer":4},{"info":"number node, value=7879","layer":4},{"info":"compute binary expreesion, left_input=6417, right_input=7879, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-12834","layer":3},{"info":"compute unary expreesion, input=-12834, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=25861","layer":2},{"info":"number node, value=1684","layer":4},{"info":"number node, value=3815","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=3815, 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=3813","layer":3},{"info":"number node, value=2431","layer":4},{"info":"number node, value=3590","layer":4},{"info":"compute binary expreesion, left_input=2431, right_input=3590, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3813, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7626","layer":2},{"info":"compute binary expreesion, left_input=25861, right_input=7626, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-77583","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-77583, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯222322⊋≦⊧⪩⨒∯203121)⋕⪉⪜(⪩⨒∯100302∝⪩⨒∯322113)∑⇟⊟(⇾⩊⇾(⪩⨒∯1021222⩚⊴⇥⪩⨒∯102220)))⩼⇪↪((⊢≑≆⪩⨒∯1210101⨐⪩⨒∯1323013)+⪬∐((⪩⨒∯122110⩹⪩⨒∯323213)⊉≛↸⪩⨒∯211333⇴∐⪩⨒∯320012))=NaN","reverse_text":"NaN=((⪩⨒∯222322⊋≦⊧⪩⨒∯203121)⋕⪉⪜(⪩⨒∯100302∝⪩⨒∯322113)∑⇟⊟(⇾⩊⇾(⪩⨒∯1021222⩚⊴⇥⪩⨒∯102220)))⩼⇪↪((⊢≑≆⪩⨒∯1210101⨐⪩⨒∯1323013)+⪬∐((⪩⨒∯122110⩹⪩⨒∯323213)⊉≛↸⪩⨒∯211333⇴∐⪩⨒∯320012))","cot":[{"info":"⪩⨒∯222322⊋≦⊧⪩⨒∯203121=⪩⨒∯-1003002","layer":3},{"info":"⪩⨒∯100302∝⪩⨒∯322113=⪩⨒∯100313","layer":3},{"info":"⪩⨒∯-1003002⋕⪉⪜⪩⨒∯100313=⪩⨒∯3030","layer":2},{"info":"⪩⨒∯1021222⩚⊴⇥⪩⨒∯102220=⪩⨒∯-1132023","layer":3},{"info":"⇾⩊⇾⪩⨒∯-1132023=⪩⨒∯23222031","layer":2},{"info":"⪩⨒∯3030∑⇟⊟⪩⨒∯23222031=NaN","layer":1},{"info":"⪩⨒∯1210101⨐⪩⨒∯1323013=⪩⨒∯-3020202","layer":3},{"info":"⊢≑≆⪩⨒∯-3020202=⪩⨒∯12110011","layer":2},{"info":"⪩⨒∯122110⩹⪩⨒∯323213=⪩⨒∯323211","layer":3},{"info":"⪩⨒∯211333⇴∐⪩⨒∯320012=NaN","layer":3},{"info":"⪩⨒∯323211⊉≛↸NaN=⪩⨒∯1313022","layer":2},{"info":"⪩⨒∯12110011+⪬∐⪩⨒∯1313022=⪩⨒∯-102330033","layer":1},{"info":"NaN⩼⇪↪⪩⨒∯-102330033=NaN","layer":0}]}
{"id":163,"expression_no_base_symbol":"(⊆⋠($5029$⨥⫆$5178$∝(∟⋨$2190$)))↳≱((⇜$1786$⪝$5296$)≓∲(($3208$+$1165$)⊉≛↸$1055$⨻⩈⩔$1348$))","expression":"(⊆⋠(⪩⨒∯1032211⨥⫆⪩⨒∯1100322∝(∟⋨⪩⨒∯202032)))↳≱((⇜⪩⨒∯123322⪝⪩⨒∯1102300)≓∲((⪩⨒∯302020+⪩⨒∯102031)⊉≛↸⪩⨒∯100133⨻⩈⩔⪩⨒∯111010))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3283,"operation_count":11,"complexity_ratio":298.45454545454544,"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":5029,"base":4},"right_expr":{"type":"numeric_atoms","value":5178,"base":4}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2190,"base":4}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":1786,"base":4},"right_expr":{"type":"numeric_atoms","value":5296,"base":4}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3208,"base":4},"right_expr":{"type":"numeric_atoms","value":1165,"base":4}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1055,"base":4},"right_expr":{"type":"numeric_atoms","value":1348,"base":4}}}}},"used_operators":["JwTKLfZU96","EBhcHTkKd8","cTDWOvIxvz","yXekIHxTD4","ctOc4cKSDt","s1XTVnmDOJ","lFBm8KRb8F","wicAB68Tmb","DZ8iAZOCBD","W4YGzv6Whe","nEsXyWgiOK"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eLAdDNolq6","tmPS8pqC7x","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5029","layer":4},{"info":"number node, value=5178","layer":4},{"info":"compute binary expreesion, left_input=5029, right_input=5178, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=10232","layer":3},{"info":"number node, value=2190","layer":4},{"info":"compute unary expreesion, input=2190, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1706","layer":3},{"info":"compute binary expreesion, left_input=10232, right_input=-1706, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=10237","layer":2},{"info":"compute unary expreesion, input=10237, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":1},{"info":"number node, value=1786","layer":4},{"info":"number node, value=5296","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=5296, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-2304","layer":2},{"info":"number node, value=3208","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=3208, right_input=1165, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4373","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1348","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1348, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=4373, right_input=-174, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8746","layer":2},{"info":"compute binary expreesion, left_input=-2304, right_input=8746, 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":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":4,"result_base":4,"text":"(⊆⋠(⪩⨒∯1032211⨥⫆⪩⨒∯1100322∝(∟⋨⪩⨒∯202032)))↳≱((⇜⪩⨒∯123322⪝⪩⨒∯1102300)≓∲((⪩⨒∯302020+⪩⨒∯102031)⊉≛↸⪩⨒∯100133⨻⩈⩔⪩⨒∯111010))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⊆⋠(⪩⨒∯1032211⨥⫆⪩⨒∯1100322∝(∟⋨⪩⨒∯202032)))↳≱((⇜⪩⨒∯123322⪝⪩⨒∯1102300)≓∲((⪩⨒∯302020+⪩⨒∯102031)⊉≛↸⪩⨒∯100133⨻⩈⩔⪩⨒∯111010))","cot":[{"info":"⪩⨒∯1032211⨥⫆⪩⨒∯1100322=⪩⨒∯2133320","layer":3},{"info":"∟⋨⪩⨒∯202032=⪩⨒∯-122222","layer":3},{"info":"⪩⨒∯2133320∝⪩⨒∯-122222=⪩⨒∯2133331","layer":2},{"info":"⊆⋠⪩⨒∯2133331=⪩⨒∯0","layer":1},{"info":"⪩⨒∯123322⪝⪩⨒∯1102300=⪩⨒∯3231","layer":3},{"info":"⇜⪩⨒∯3231=⪩⨒∯-210000","layer":2},{"info":"⪩⨒∯302020+⪩⨒∯102031=⪩⨒∯1010111","layer":3},{"info":"⪩⨒∯100133⨻⩈⩔⪩⨒∯111010=⪩⨒∯-2232","layer":3},{"info":"⪩⨒∯1010111⊉≛↸⪩⨒∯-2232=⪩⨒∯2020222","layer":2},{"info":"⪩⨒∯-210000≓∲⪩⨒∯2020222=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯0↳≱⪩⨒∯1003=⪩⨒∯0","layer":0}]}
{"id":164,"expression_no_base_symbol":"($2073$⊕∕$1736$⫲≸⪮(⇤←$2910$)⫚↹⊑$4133$⫁$2550$⫉⨲⊜(⩪∧⨌$1507$))⪬(⩦⊞((⇉-⫰$8361$)≓∲$2873$≝⊿$8825$))","expression":"(⪩⨒∯200121⊕∕⪩⨒∯123020⫲≸⪮(⇤←⪩⨒∯231132)⫚↹⊑⪩⨒∯1000211⫁⪩⨒∯213312⫉⨲⊜(⩪∧⨌⪩⨒∯113203))⪬(⩦⊞((⇉-⫰⪩⨒∯2002221)≓∲⪩⨒∯230321≝⊿⪩⨒∯2021321))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2907,"operation_count":12,"complexity_ratio":242.25,"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":2073,"base":4},"right_expr":{"type":"numeric_atoms","value":1736,"base":4}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2910,"base":4}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4133,"base":4},"right_expr":{"type":"numeric_atoms","value":2550,"base":4}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1507,"base":4}}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":8361,"base":4}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2873,"base":4},"right_expr":{"type":"numeric_atoms","value":8825,"base":4}}}}},"used_operators":["Ez1Nq5fNfI","dfKe02y8D2","P3lXMJvFrc","9cloC0Ngie","jfAgQ2OQeM","WhqkvtTD3t","0ajvFaJAv0","6iOiAJX1F8","u7fv1HBiaC","s1XTVnmDOJ","IGFM8TAlm9","OKKcZfAt5B"],"dependent_operators":["eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eewbuw0ToL","zVYPLywUTj","cHh1gJQ2o6","AHs5Up7iyr","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eH2TOUuTDT","eewbuw0ToL","12rbrZMWeM"],"result":"⪩⨒∯103102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2073","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=1736, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=2073","layer":3},{"info":"number node, value=2910","layer":4},{"info":"compute unary expreesion, input=2910, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-13184","layer":3},{"info":"compute binary expreesion, left_input=2073, right_input=-13184, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2073","layer":2},{"info":"number node, value=4133","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=4133, right_input=2550, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1507","layer":4},{"info":"compute unary expreesion, input=1507, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=15070","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=15070, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2073, right_input=0, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=8361","layer":4},{"info":"compute unary expreesion, input=8361, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=2873","layer":4},{"info":"number node, value=8825","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=8825, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-21056","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=-21056, 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=629593","layer":2},{"info":"compute unary expreesion, input=629593, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-629320","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-629320, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯200121⊕∕⪩⨒∯123020⫲≸⪮(⇤←⪩⨒∯231132)⫚↹⊑⪩⨒∯1000211⫁⪩⨒∯213312⫉⨲⊜(⩪∧⨌⪩⨒∯113203))⪬(⩦⊞((⇉-⫰⪩⨒∯2002221)≓∲⪩⨒∯230321≝⊿⪩⨒∯2021321))=⪩⨒∯103102","reverse_text":"⪩⨒∯103102=(⪩⨒∯200121⊕∕⪩⨒∯123020⫲≸⪮(⇤←⪩⨒∯231132)⫚↹⊑⪩⨒∯1000211⫁⪩⨒∯213312⫉⨲⊜(⩪∧⨌⪩⨒∯113203))⪬(⩦⊞((⇉-⫰⪩⨒∯2002221)≓∲⪩⨒∯230321≝⊿⪩⨒∯2021321))","cot":[{"info":"⪩⨒∯200121⊕∕⪩⨒∯123020=⪩⨒∯200121","layer":3},{"info":"⇤←⪩⨒∯231132=⪩⨒∯-3032000","layer":3},{"info":"⪩⨒∯200121⫲≸⪮⪩⨒∯-3032000=⪩⨒∯200121","layer":2},{"info":"⪩⨒∯1000211⫁⪩⨒∯213312=⪩⨒∯2200","layer":3},{"info":"⩪∧⨌⪩⨒∯113203=⪩⨒∯3223132","layer":3},{"info":"⪩⨒∯2200⫉⨲⊜⪩⨒∯3223132=⪩⨒∯0","layer":2},{"info":"⪩⨒∯200121⫚↹⊑⪩⨒∯0=⪩⨒∯-12333","layer":1},{"info":"⇉-⫰⪩⨒∯2002221=⪩⨒∯110","layer":3},{"info":"⪩⨒∯230321≝⊿⪩⨒∯2021321=⪩⨒∯-11021000","layer":3},{"info":"⪩⨒∯110≓∲⪩⨒∯-11021000=⪩⨒∯2121231121","layer":2},{"info":"⩦⊞⪩⨒∯2121231121=⪩⨒∯-2121221020","layer":1},{"info":"⪩⨒∯-12333⪬⪩⨒∯-2121221020=⪩⨒∯103102","layer":0}]}
{"id":165,"expression_no_base_symbol":"(⊬↢(∥⊫$8506$)⨥⫆$2694$⊮⊟↴$1178$)⇻⋧≁(($1677$⫉⨲⊜$1353$)∌($1397$↡⊰⫅$2004$)≄⊠((∨∊⋏$1429$)⊾⪯⋞$6336$⩚⊴⇥$2085$))","expression":"(⊬↢(∥⊫⪩⨒∯2010322)⨥⫆⪩⨒∯222012⊮⊟↴⪩⨒∯102122)⇻⋧≁((⪩⨒∯122031⫉⨲⊜⪩⨒∯111021)∌(⪩⨒∯111311↡⊰⫅⪩⨒∯133110)≄⊠((∨∊⋏⪩⨒∯112111)⊾⪯⋞⪩⨒∯1203000⩚⊴⇥⪩⨒∯200211))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":31138,"operation_count":12,"complexity_ratio":2594.8333333333335,"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":8506,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2694,"base":4},"right_expr":{"type":"numeric_atoms","value":1178,"base":4}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1677,"base":4},"right_expr":{"type":"numeric_atoms","value":1353,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1397,"base":4},"right_expr":{"type":"numeric_atoms","value":2004,"base":4}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1429,"base":4}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6336,"base":4},"right_expr":{"type":"numeric_atoms","value":2085,"base":4}}}}},"used_operators":["jCPkEVoL5K","WPoGxAaPR1","yXekIHxTD4","P8v4zCKN1o","QDVgd2eftb","vXNesLlMH1","8cLx32lpNA","WhqkvtTD3t","VCtxkLNOzz","HK0tfVPux8","R5aXW34M0v","NTOWxs364D"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪩⨒∯-12333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8506","layer":4},{"info":"compute unary expreesion, input=8506, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=9374","layer":3},{"info":"number node, value=2694","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=1178, 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=9374, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1156","layer":2},{"info":"compute unary expreesion, input=-1156, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-55","layer":1},{"info":"number node, value=1677","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=1353, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1397","layer":4},{"info":"number node, value=2004","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=2004, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4008","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4008, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4008","layer":2},{"info":"number node, value=1429","layer":4},{"info":"compute unary expreesion, input=1429, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=21095","layer":3},{"info":"number node, value=6336","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=6336, right_input=2085, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8542","layer":3},{"info":"compute binary expreesion, left_input=21095, right_input=-8542, 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 binary expreesion, left_input=-4008, right_input=-820, 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=-55, right_input=1500, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-447","layer":0}],"base":4,"result_base":4,"text":"(⊬↢(∥⊫⪩⨒∯2010322)⨥⫆⪩⨒∯222012⊮⊟↴⪩⨒∯102122)⇻⋧≁((⪩⨒∯122031⫉⨲⊜⪩⨒∯111021)∌(⪩⨒∯111311↡⊰⫅⪩⨒∯133110)≄⊠((∨∊⋏⪩⨒∯112111)⊾⪯⋞⪩⨒∯1203000⩚⊴⇥⪩⨒∯200211))=⪩⨒∯-12333","reverse_text":"⪩⨒∯-12333=(⊬↢(∥⊫⪩⨒∯2010322)⨥⫆⪩⨒∯222012⊮⊟↴⪩⨒∯102122)⇻⋧≁((⪩⨒∯122031⫉⨲⊜⪩⨒∯111021)∌(⪩⨒∯111311↡⊰⫅⪩⨒∯133110)≄⊠((∨∊⋏⪩⨒∯112111)⊾⪯⋞⪩⨒∯1203000⩚⊴⇥⪩⨒∯200211))","cot":[{"info":"∥⊫⪩⨒∯2010322=⪩⨒∯2102132","layer":3},{"info":"⪩⨒∯222012⊮⊟↴⪩⨒∯102122=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2102132⨥⫆⪩⨒∯0=⪩⨒∯-102010","layer":2},{"info":"⊬↢⪩⨒∯-102010=⪩⨒∯-313","layer":1},{"info":"⪩⨒∯122031⫉⨲⊜⪩⨒∯111021=⪩⨒∯0","layer":3},{"info":"⪩⨒∯111311↡⊰⫅⪩⨒∯133110=⪩⨒∯332220","layer":3},{"info":"⪩⨒∯0∌⪩⨒∯332220=⪩⨒∯-332220","layer":2},{"info":"∨∊⋏⪩⨒∯112111=⪩⨒∯11021213","layer":3},{"info":"⪩⨒∯1203000⩚⊴⇥⪩⨒∯200211=⪩⨒∯-2011132","layer":3},{"info":"⪩⨒∯11021213⊾⪯⋞⪩⨒∯-2011132=⪩⨒∯-30310","layer":2},{"info":"⪩⨒∯-332220≄⊠⪩⨒∯-30310=⪩⨒∯113130","layer":1},{"info":"⪩⨒∯-313⇻⋧≁⪩⨒∯113130=⪩⨒∯-12333","layer":0}]}
{"id":166,"expression_no_base_symbol":"((⨑⩽⪐$1261$)⪛$7595$⇡⇂$2519$∠⫱(∂(⊖$2388$)))⊱⇼⊻(⪛⨧(($6114$⋹)⨭⪣(⊁⨺$4085$)))","expression":"((⨑⩽⪐⪩⨒∯103231)⪛⪩⨒∯1312223⇡⇂⪩⨒∯213113∠⫱(∂(⊖⪩⨒∯211110)))⊱⇼⊻(⪛⨧((⪩⨒∯1133202⋹)⨭⪣(⊁⨺⪩⨒∯333311)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12715,"operation_count":11,"complexity_ratio":1155.909090909091,"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":1261,"base":4}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":7595,"base":4},"right_expr":{"type":"numeric_atoms","value":2519,"base":4}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2388,"base":4}}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"⋹","unary_expr":{"type":"numeric_atoms","value":6114,"base":4}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":4085,"base":4}}}}},"used_operators":["FyVja0WsTP","QvoQhV0rrE","uFcxV4UQCh","AF7qkfDlqP","UMwdvZNt44","Uaa54Peajs","U6pG0PXrV3","6NJAcO2OWT","kn8WO9XteQ","opAxDRczMr","PxiHyQbrIp"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1261","layer":4},{"info":"compute unary expreesion, input=1261, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-988","layer":3},{"info":"number node, value=7595","layer":4},{"info":"number node, value=2519","layer":4},{"info":"compute binary expreesion, left_input=7595, right_input=2519, 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=-988, 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=2388","layer":4},{"info":"compute unary expreesion, input=2388, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-264, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"number node, value=6114","layer":4},{"info":"compute unary expreesion, input=6114, 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=4085","layer":4},{"info":"compute unary expreesion, input=4085, 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=-20, 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=-302","layer":2},{"info":"compute unary expreesion, input=-302, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=797","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=797, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⨑⩽⪐⪩⨒∯103231)⪛⪩⨒∯1312223⇡⇂⪩⨒∯213113∠⫱(∂(⊖⪩⨒∯211110)))⊱⇼⊻(⪛⨧((⪩⨒∯1133202⋹)⨭⪣(⊁⨺⪩⨒∯333311)))=NaN","reverse_text":"NaN=((⨑⩽⪐⪩⨒∯103231)⪛⪩⨒∯1312223⇡⇂⪩⨒∯213113∠⫱(∂(⊖⪩⨒∯211110)))⊱⇼⊻(⪛⨧((⪩⨒∯1133202⋹)⨭⪣(⊁⨺⪩⨒∯333311)))","cot":[{"info":"⨑⩽⪐⪩⨒∯103231=⪩⨒∯-33130","layer":3},{"info":"⪩⨒∯1312223⇡⇂⪩⨒∯213113=NaN","layer":3},{"info":"⪩⨒∯-33130⪛NaN=NaN","layer":2},{"info":"⊖⪩⨒∯211110=⪩⨒∯0","layer":3},{"info":"∂⪩⨒∯0=⪩⨒∯-10020","layer":2},{"info":"NaN∠⫱⪩⨒∯-10020=NaN","layer":1},{"info":"⪩⨒∯1133202⋹=⪩⨒∯-110","layer":3},{"info":"⊁⨺⪩⨒∯333311=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-110⨭⪣⪩⨒∯2200=⪩⨒∯-10232","layer":2},{"info":"⪛⨧⪩⨒∯-10232=⪩⨒∯30131","layer":1},{"info":"NaN⊱⇼⊻⪩⨒∯30131=NaN","layer":0}]}
{"id":167,"expression_no_base_symbol":"(≔($1930$⫚↹⊑$4672$⋷$1571$↸$2263$))⨻⩈⩔((($2278$⪔⊥$6112$)⩅⪻⪻)⇣⩺⋵($3829$⋻⩜⩜$3574$⫚↹⊑$2049$⨚⇆$2799$))","expression":"(≔(⪩⨒∯132022⫚↹⊑⪩⨒∯1021000⋷⪩⨒∯120203↸⪩⨒∯203113))⨻⩈⩔(((⪩⨒∯203212⪔⊥⪩⨒∯1133200)⩅⪻⪻)⇣⩺⋵(⪩⨒∯323311⋻⩜⩜⪩⨒∯313312⫚↹⊑⪩⨒∯200001⨚⇆⪩⨒∯223233))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":69637,"operation_count":11,"complexity_ratio":6330.636363636364,"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":1930,"base":4},"right_expr":{"type":"numeric_atoms","value":4672,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1571,"base":4},"right_expr":{"type":"numeric_atoms","value":2263,"base":4}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2278,"base":4},"right_expr":{"type":"numeric_atoms","value":6112,"base":4}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":3829,"base":4},"right_expr":{"type":"numeric_atoms","value":3574,"base":4}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2049,"base":4},"right_expr":{"type":"numeric_atoms","value":2799,"base":4}}}}},"used_operators":["nEsXyWgiOK","8FLs4eVsLt","23Mk6UjR3U","dfKe02y8D2","1eCjFl0mb9","F4yD0voBRQ","kHoXpA7yos","HJ9erzHUuu","oDCm7WA9JY","lwHaAYXP2r"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","W4YGzv6Whe","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"⪩⨒∯-2232","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1930","layer":4},{"info":"number node, value=4672","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=4672, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=2263, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1571","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=1571, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=894","layer":2},{"info":"compute unary expreesion, input=894, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-23738","layer":1},{"info":"number node, value=2278","layer":4},{"info":"number node, value=6112","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=6112, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-3311","layer":3},{"info":"compute unary expreesion, input=-3311, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":2},{"info":"number node, value=3829","layer":4},{"info":"number node, value=3574","layer":4},{"info":"compute binary expreesion, left_input=3829, right_input=3574, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=7658","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=2799, 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=7658, right_input=nan, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-447, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=-23738, right_input=-260, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":4,"result_base":4,"text":"(≔(⪩⨒∯132022⫚↹⊑⪩⨒∯1021000⋷⪩⨒∯120203↸⪩⨒∯203113))⨻⩈⩔(((⪩⨒∯203212⪔⊥⪩⨒∯1133200)⩅⪻⪻)⇣⩺⋵(⪩⨒∯323311⋻⩜⩜⪩⨒∯313312⫚↹⊑⪩⨒∯200001⨚⇆⪩⨒∯223233))=⪩⨒∯-2232","reverse_text":"⪩⨒∯-2232=(≔(⪩⨒∯132022⫚↹⊑⪩⨒∯1021000⋷⪩⨒∯120203↸⪩⨒∯203113))⨻⩈⩔(((⪩⨒∯203212⪔⊥⪩⨒∯1133200)⩅⪻⪻)⇣⩺⋵(⪩⨒∯323311⋻⩜⩜⪩⨒∯313312⫚↹⊑⪩⨒∯200001⨚⇆⪩⨒∯223233))","cot":[{"info":"⪩⨒∯132022⫚↹⊑⪩⨒∯1021000=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯120203↸⪩⨒∯203113=⪩⨒∯120203","layer":3},{"info":"⪩⨒∯-12333⋷⪩⨒∯120203=⪩⨒∯31332","layer":2},{"info":"≔⪩⨒∯31332=⪩⨒∯-11302322","layer":1},{"info":"⪩⨒∯203212⪔⊥⪩⨒∯1133200=⪩⨒∯-303233","layer":3},{"info":"⪩⨒∯-303233⩅⪻⪻=⪩⨒∯332023","layer":2},{"info":"⪩⨒∯323311⋻⩜⩜⪩⨒∯313312=⪩⨒∯1313222","layer":3},{"info":"⪩⨒∯200001⨚⇆⪩⨒∯223233=NaN","layer":3},{"info":"⪩⨒∯1313222⫚↹⊑NaN=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯332023⇣⩺⋵⪩⨒∯-12333=⪩⨒∯-10010","layer":1},{"info":"⪩⨒∯-11302322⨻⩈⩔⪩⨒∯-10010=⪩⨒∯-2232","layer":0}]}
{"id":168,"expression_no_base_symbol":"(((⩦⩻⨪$5498$)≹⇙⪍(≔$1469$))⫞⩸⩒(($2294$⨲∙)⨐⩸⫘(⊆⋠$5583$)))⇻⋧≁(($2371$∐⫣)⩇∃⫛(⊬↢$6024$)∟)","expression":"(((⩦⩻⨪⪩⨒∯1111322)≹⇙⪍(≔⪩⨒∯112331))⫞⩸⩒((⪩⨒∯203312⨲∙)⨐⩸⫘(⊆⋠⪩⨒∯1113033)))⇻⋧≁((⪩⨒∯211003∐⫣)⩇∃⫛(⊬↢⪩⨒∯1132020)∟)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6819,"operation_count":12,"complexity_ratio":568.25,"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":5498,"base":4}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1469,"base":4}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":2294,"base":4}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":5583,"base":4}}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"∐⫣","unary_expr":{"type":"numeric_atoms","value":2371,"base":4}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":6024,"base":4}}}}},"used_operators":["jCPkEVoL5K","XGcMNugi78","AHs5Up7iyr","2td37pGCOC","8FLs4eVsLt","fu6greOZ01","cRahaglYVE","EBhcHTkKd8","hTbEZDJLEm","1aApVXNlOP","4CyGpkTkEk","WPoGxAaPR1"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","3ViojmjbAp","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5498","layer":4},{"info":"compute unary expreesion, input=5498, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5498","layer":3},{"info":"number node, value=1469","layer":4},{"info":"compute unary expreesion, input=1469, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-39838","layer":3},{"info":"compute binary expreesion, left_input=5498, right_input=-39838, 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=2294","layer":4},{"info":"compute unary expreesion, input=2294, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=29150174","layer":3},{"info":"number node, value=5583","layer":4},{"info":"compute unary expreesion, input=5583, 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=29150174, 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=29150174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=29150174, 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=2371","layer":4},{"info":"compute unary expreesion, input=2371, op_id = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=551","layer":3},{"info":"number node, value=6024","layer":4},{"info":"compute unary expreesion, input=6024, 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=551, right_input=218, 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=140","layer":2},{"info":"compute unary expreesion, input=140, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=113, 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":4,"result_base":4,"text":"(((⩦⩻⨪⪩⨒∯1111322)≹⇙⪍(≔⪩⨒∯112331))⫞⩸⩒((⪩⨒∯203312⨲∙)⨐⩸⫘(⊆⋠⪩⨒∯1113033)))⇻⋧≁((⪩⨒∯211003∐⫣)⩇∃⫛(⊬↢⪩⨒∯1132020)∟)=NaN","reverse_text":"NaN=(((⩦⩻⨪⪩⨒∯1111322)≹⇙⪍(≔⪩⨒∯112331))⫞⩸⩒((⪩⨒∯203312⨲∙)⨐⩸⫘(⊆⋠⪩⨒∯1113033)))⇻⋧≁((⪩⨒∯211003∐⫣)⩇∃⫛(⊬↢⪩⨒∯1132020)∟)","cot":[{"info":"⩦⩻⨪⪩⨒∯1111322=⪩⨒∯1111322","layer":3},{"info":"≔⪩⨒∯112331=⪩⨒∯-21232132","layer":3},{"info":"⪩⨒∯1111322≹⇙⪍⪩⨒∯-21232132=NaN","layer":2},{"info":"⪩⨒∯203312⨲∙=⪩⨒∯1233030233132","layer":3},{"info":"⊆⋠⪩⨒∯1113033=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1233030233132⨐⩸⫘⪩⨒∯0=⪩⨒∯1233030233132","layer":2},{"info":"NaN⫞⩸⩒⪩⨒∯1233030233132=NaN","layer":1},{"info":"⪩⨒∯211003∐⫣=⪩⨒∯20213","layer":3},{"info":"⊬↢⪩⨒∯1132020=⪩⨒∯3122","layer":3},{"info":"⪩⨒∯20213⩇∃⫛⪩⨒∯3122=⪩⨒∯2030","layer":2},{"info":"⪩⨒∯2030∟=⪩⨒∯1301","layer":1},{"info":"NaN⇻⋧≁⪩⨒∯1301=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"(($2455$≬⋮$1873$)⨽$8492$≎⊠⪸$1671$↱($6460$⇴$5750$+$1372$↬$1555$))≎⊠⪸(($5788$⊭∹↮)⪨≂$1385$⪡$2702$)∣($2126$⨫⇇↔$4663$⪐)","expression":"((⪩⨒∯212113≬⋮⪩⨒∯131101)⨽⪩⨒∯2010230≎⊠⪸⪩⨒∯122013↱(⪩⨒∯1210330⇴⪩⨒∯1121312+⪩⨒∯111130↬⪩⨒∯120103))≎⊠⪸((⪩⨒∯1122130⊭∹↮)⪨≂⪩⨒∯111221⪡⪩⨒∯222032)∣(⪩⨒∯201032⨫⇇↔⪩⨒∯1020313⪐)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1283,"operation_count":14,"complexity_ratio":91.64285714285714,"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":2455,"base":4},"right_expr":{"type":"numeric_atoms","value":1873,"base":4}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":8492,"base":4},"right_expr":{"type":"numeric_atoms","value":1671,"base":4}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":6460,"base":4},"right_expr":{"type":"numeric_atoms","value":5750,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1372,"base":4},"right_expr":{"type":"numeric_atoms","value":1555,"base":4}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":5788,"base":4}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1385,"base":4},"right_expr":{"type":"numeric_atoms","value":2702,"base":4}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2126,"base":4},"right_expr":{"type":"numeric_atoms","value":4663,"base":4}}}}},"used_operators":["bJkvcejdHO","SR5kFfdi6N","8HhzD0ZcuI","kbkesczE7y","W4YGzv6Whe","4JB6nKBMSY","B5M0gjZbta","PPChnnnBFF","sdazOOVcIp","xNBdhnnwKq","oraRL2iQuh","eH2TOUuTDT","LXhwmt4mBO"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","sdazOOVcIp","NTOWxs364D","COABgblf1C","rGHVDoGpnC","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2455","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=2455, right_input=1873, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=8492","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=8492, right_input=1671, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2198955","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=2198955, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8855823","layer":2},{"info":"number node, value=6460","layer":4},{"info":"number node, value=5750","layer":4},{"info":"compute binary expreesion, left_input=6460, right_input=5750, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=49874","layer":3},{"info":"number node, value=1372","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=1555, 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=49874, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8855823, 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":"number node, value=5788","layer":4},{"info":"compute unary expreesion, input=5788, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=11576","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=2702","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=2702, 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=11576, right_input=107, 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=23040","layer":2},{"info":"number node, value=2126","layer":4},{"info":"number node, value=4663","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=4663, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute unary expreesion, input=-527, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-1054","layer":2},{"info":"compute binary expreesion, left_input=23040, right_input=-1054, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-22083","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-22083, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯212113≬⋮⪩⨒∯131101)⨽⪩⨒∯2010230≎⊠⪸⪩⨒∯122013↱(⪩⨒∯1210330⇴⪩⨒∯1121312+⪩⨒∯111130↬⪩⨒∯120103))≎⊠⪸((⪩⨒∯1122130⊭∹↮)⪨≂⪩⨒∯111221⪡⪩⨒∯222032)∣(⪩⨒∯201032⨫⇇↔⪩⨒∯1020313⪐)=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⪩⨒∯212113≬⋮⪩⨒∯131101)⨽⪩⨒∯2010230≎⊠⪸⪩⨒∯122013↱(⪩⨒∯1210330⇴⪩⨒∯1121312+⪩⨒∯111130↬⪩⨒∯120103))≎⊠⪸((⪩⨒∯1122130⊭∹↮)⪨≂⪩⨒∯111221⪡⪩⨒∯222032)∣(⪩⨒∯201032⨫⇇↔⪩⨒∯1020313⪐)","cot":[{"info":"⪩⨒∯212113≬⋮⪩⨒∯131101=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯2010230≎⊠⪸⪩⨒∯122013=⪩⨒∯20120312223","layer":3},{"info":"⪩⨒∯31210⨽⪩⨒∯20120312223=⪩⨒∯-201302010033","layer":2},{"info":"⪩⨒∯1210330⇴⪩⨒∯1121312=⪩⨒∯30023102","layer":3},{"info":"⪩⨒∯111130↬⪩⨒∯120103=NaN","layer":3},{"info":"⪩⨒∯30023102+NaN=NaN","layer":2},{"info":"⪩⨒∯-201302010033↱NaN=NaN","layer":1},{"info":"⪩⨒∯1122130⊭∹↮=⪩⨒∯2310320","layer":3},{"info":"⪩⨒∯111221⪡⪩⨒∯222032=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯2310320⪨≂⪩⨒∯1223=⪩⨒∯11220000","layer":2},{"info":"⪩⨒∯201032⨫⇇↔⪩⨒∯1020313=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯-20033⪐=⪩⨒∯-100132","layer":2},{"info":"⪩⨒∯11220000∣⪩⨒∯-100132=⪩⨒∯-11121003","layer":1},{"info":"NaN≎⊠⪸⪩⨒∯-11121003=⪩⨒∯1003","layer":0}]}
{"id":170,"expression_no_base_symbol":"($3012$⫃⨇$7697$)⊢($1967$⫔⩽⩺$1148$)⫒⫫(↔$1000$≴⪞⇿$1961$)∛≔","expression":"(⪩⨒∯233010⫃⨇⪩⨒∯1320101)⊢(⪩⨒∯132233⫔⩽⩺⪩⨒∯101330)⫒⫫(↔⪩⨒∯33220≴⪞⇿⪩⨒∯132221)∛≔","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":999,"operation_count":7,"complexity_ratio":142.71428571428572,"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":3012,"base":4},"right_expr":{"type":"numeric_atoms","value":7697,"base":4}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1967,"base":4},"right_expr":{"type":"numeric_atoms","value":1148,"base":4}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1000,"base":4},"right_expr":{"type":"numeric_atoms","value":1961,"base":4}}}}},"used_operators":["mGnSCrte3L","6Ko8hGgeMq","5twsqlHp2o","09Ly4LVMIf","i9eR4S00cU","ruOEQAzv1W","lvlrscuwVU"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","Tw270M8GLb","fu6greOZ01","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3012","layer":4},{"info":"number node, value=7697","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=7697, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-30820","layer":3},{"info":"number node, value=1967","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=1148, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-30820, 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=61396","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1961, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1057292","layer":3},{"info":"compute unary expreesion, input=1057292, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1057019","layer":2},{"info":"compute binary expreesion, left_input=61396, right_input=-1057019, 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 = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯233010⫃⨇⪩⨒∯1320101)⊢(⪩⨒∯132233⫔⩽⩺⪩⨒∯101330)⫒⫫(↔⪩⨒∯33220≴⪞⇿⪩⨒∯132221)∛≔=NaN","reverse_text":"NaN=(⪩⨒∯233010⫃⨇⪩⨒∯1320101)⊢(⪩⨒∯132233⫔⩽⩺⪩⨒∯101330)⫒⫫(↔⪩⨒∯33220≴⪞⇿⪩⨒∯132221)∛≔","cot":[{"info":"⪩⨒∯233010⫃⨇⪩⨒∯1320101=⪩⨒∯-13201210","layer":3},{"info":"⪩⨒∯132233⫔⩽⩺⪩⨒∯101330=NaN","layer":3},{"info":"⪩⨒∯-13201210⊢NaN=⪩⨒∯32333110","layer":2},{"info":"⪩⨒∯33220≴⪞⇿⪩⨒∯132221=⪩⨒∯10002020030","layer":3},{"info":"↔⪩⨒∯10002020030=⪩⨒∯-10002003323","layer":2},{"info":"⪩⨒∯32333110⫒⫫⪩⨒∯-10002003323=NaN","layer":1},{"info":"NaN∛≔=NaN","layer":0}]}
{"id":171,"expression_no_base_symbol":"(↑$1158$)⇂≾⫗(↞≼$4499$)≨((⩷$4225$)⨻⩈⩔($1160$⩚⊴⇥$5356$))⊾⪯⋞$1360$⩺⪪$3683$⨳⩥⨓$5745$⫸⇳$3133$⋭≵(↥($1219$⨳⩥⨓$2054$))","expression":"(↑⪩⨒∯102012)⇂≾⫗(↞≼⪩⨒∯1012103)≨((⩷⪩⨒∯1002001)⨻⩈⩔(⪩⨒∯102020⩚⊴⇥⪩⨒∯1103230))⊾⪯⋞⪩⨒∯111100⩺⪪⪩⨒∯321203⨳⩥⨓⪩⨒∯1121301⫸⇳⪩⨒∯300331⋭≵(↥(⪩⨒∯103003⨳⩥⨓⪩⨒∯200012))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5248,"operation_count":14,"complexity_ratio":374.85714285714283,"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":1158,"base":4}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":4499,"base":4}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4225,"base":4}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1160,"base":4},"right_expr":{"type":"numeric_atoms","value":5356,"base":4}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1360,"base":4},"right_expr":{"type":"numeric_atoms","value":3683,"base":4}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5745,"base":4},"right_expr":{"type":"numeric_atoms","value":3133,"base":4}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1219,"base":4},"right_expr":{"type":"numeric_atoms","value":2054,"base":4}}}}},"used_operators":["HK0tfVPux8","0KMCeP1Jsh","aBQ6xLxuTc","tR7O2zTn5j","DE7zCoGJt9","nEsXyWgiOK","1h0rLqGiFr","NTOWxs364D","jBncVCNhdl","nCS4ZIUYfx","uvdQJvN4PV","gx7XJ7hdpj","A8NUZmVepG"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","k8jYdgA6NY"],"result":"⪩⨒∯-30302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=4499","layer":4},{"info":"compute unary expreesion, input=4499, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=35578","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=35578, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"number node, value=4225","layer":4},{"info":"compute unary expreesion, input=4225, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-50779","layer":3},{"info":"number node, value=1160","layer":4},{"info":"number node, value=5356","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=5356, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6637","layer":3},{"info":"compute binary expreesion, left_input=-50779, right_input=-6637, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=-174, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=2008","layer":1},{"info":"number node, value=1360","layer":4},{"info":"number node, value=3683","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=3683, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=5745","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=5745, right_input=3133, 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=-1818, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1818","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=2054, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=835","layer":3},{"info":"compute unary expreesion, input=835, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=19","layer":2},{"info":"compute binary expreesion, left_input=1818, right_input=19, 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=2008, 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":0}],"base":4,"result_base":4,"text":"(↑⪩⨒∯102012)⇂≾⫗(↞≼⪩⨒∯1012103)≨((⩷⪩⨒∯1002001)⨻⩈⩔(⪩⨒∯102020⩚⊴⇥⪩⨒∯1103230))⊾⪯⋞⪩⨒∯111100⩺⪪⪩⨒∯321203⨳⩥⨓⪩⨒∯1121301⫸⇳⪩⨒∯300331⋭≵(↥(⪩⨒∯103003⨳⩥⨓⪩⨒∯200012))=⪩⨒∯-30302","reverse_text":"⪩⨒∯-30302=(↑⪩⨒∯102012)⇂≾⫗(↞≼⪩⨒∯1012103)≨((⩷⪩⨒∯1002001)⨻⩈⩔(⪩⨒∯102020⩚⊴⇥⪩⨒∯1103230))⊾⪯⋞⪩⨒∯111100⩺⪪⪩⨒∯321203⨳⩥⨓⪩⨒∯1121301⫸⇳⪩⨒∯300331⋭≵(↥(⪩⨒∯103003⨳⩥⨓⪩⨒∯200012))","cot":[{"info":"↑⪩⨒∯102012=⪩⨒∯3000","layer":3},{"info":"↞≼⪩⨒∯1012103=⪩⨒∯20223322","layer":3},{"info":"⪩⨒∯3000⇂≾⫗⪩⨒∯20223322=⪩⨒∯-22210","layer":2},{"info":"⩷⪩⨒∯1002001=⪩⨒∯-30121123","layer":3},{"info":"⪩⨒∯102020⩚⊴⇥⪩⨒∯1103230=⪩⨒∯-1213231","layer":3},{"info":"⪩⨒∯-30121123⨻⩈⩔⪩⨒∯-1213231=⪩⨒∯-2232","layer":2},{"info":"⪩⨒∯-22210≨⪩⨒∯-2232=⪩⨒∯133120","layer":1},{"info":"⪩⨒∯111100⩺⪪⪩⨒∯321203=⪩⨒∯-130122","layer":3},{"info":"⪩⨒∯1121301⫸⇳⪩⨒∯300331=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-130122⨳⩥⨓⪩⨒∯0=⪩⨒∯130122","layer":2},{"info":"⪩⨒∯103003⨳⩥⨓⪩⨒∯200012=⪩⨒∯31003","layer":3},{"info":"↥⪩⨒∯31003=⪩⨒∯103","layer":2},{"info":"⪩⨒∯130122⋭≵⪩⨒∯103=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯133120⊾⪯⋞⪩⨒∯1003=⪩⨒∯-30302","layer":0}]}
{"id":172,"expression_no_base_symbol":"((⫯($1319$⨸⪁$1605$))⇮⋭((∨∊⋏$2545$)⩹($5434$⊴⇁⪶)))∛((↸⊣$6045$≁$4172$)∁)","expression":"((⫯(⪩⨒∯110213⨸⪁⪩⨒∯121011))⇮⋭((∨∊⋏⪩⨒∯213301)⩹(⪩⨒∯1110322⊴⇁⪶)))∛((↸⊣⪩⨒∯1132131≁⪩⨒∯1001030)∁)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5900,"operation_count":10,"complexity_ratio":590.0,"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":1319,"base":4},"right_expr":{"type":"numeric_atoms","value":1605,"base":4}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2545,"base":4}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":5434,"base":4}}}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":6045,"base":4},"right_expr":{"type":"numeric_atoms","value":4172,"base":4}}}}},"used_operators":["w2537kitQq","vkpjKywKVM","H6BK1Evt7c","g55IO6H4Gj","2Wsdkap16l","R5aXW34M0v","oo9mF6JIpo","jdwGQqwJi5","wztAlM01eG","8N2wDY1A35"],"dependent_operators":["DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","2DDjHMKMc0","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=1605, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5848","layer":3},{"info":"compute unary expreesion, input=5848, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-230828","layer":2},{"info":"number node, value=2545","layer":4},{"info":"compute unary expreesion, input=2545, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=47879","layer":3},{"info":"number node, value=5434","layer":4},{"info":"compute unary expreesion, input=5434, 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=111870","layer":3},{"info":"compute binary expreesion, left_input=47879, right_input=111870, 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=111868","layer":2},{"info":"compute binary expreesion, left_input=-230828, right_input=111868, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=6045","layer":4},{"info":"number node, value=4172","layer":4},{"info":"compute binary expreesion, left_input=6045, right_input=4172, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=86927","layer":3},{"info":"compute unary expreesion, input=86927, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-86640","layer":2},{"info":"compute unary expreesion, input=-86640, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=-86640","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-86640, 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":4,"result_base":4,"text":"((⫯(⪩⨒∯110213⨸⪁⪩⨒∯121011))⇮⋭((∨∊⋏⪩⨒∯213301)⩹(⪩⨒∯1110322⊴⇁⪶)))∛((↸⊣⪩⨒∯1132131≁⪩⨒∯1001030)∁)=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⫯(⪩⨒∯110213⨸⪁⪩⨒∯121011))⇮⋭((∨∊⋏⪩⨒∯213301)⩹(⪩⨒∯1110322⊴⇁⪶)))∛((↸⊣⪩⨒∯1132131≁⪩⨒∯1001030)∁)","cot":[{"info":"⪩⨒∯110213⨸⪁⪩⨒∯121011=⪩⨒∯1123120","layer":3},{"info":"⫯⪩⨒∯1123120=⪩⨒∯-320112230","layer":2},{"info":"∨∊⋏⪩⨒∯213301=⪩⨒∯23230013","layer":3},{"info":"⪩⨒∯1110322⊴⇁⪶=⪩⨒∯123103332","layer":3},{"info":"⪩⨒∯23230013⩹⪩⨒∯123103332=⪩⨒∯123103330","layer":2},{"info":"⪩⨒∯-320112230⇮⋭⪩⨒∯123103330=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯1132131≁⪩⨒∯1001030=⪩⨒∯111032033","layer":3},{"info":"↸⊣⪩⨒∯111032033=⪩⨒∯-111021300","layer":2},{"info":"⪩⨒∯-111021300∁=⪩⨒∯-111021300","layer":1},{"info":"⪩⨒∯1003∛⪩⨒∯-111021300=⪩⨒∯1003","layer":0}]}
{"id":173,"expression_no_base_symbol":"∷≠(($6219$⩇∃⫛$2592$)∺≝⩲($4620$⇴∐$5281$))⨿($1357$⫁$2253$⪨≂($6308$∽$4490$))","expression":"∷≠((⪩⨒∯1201023⩇∃⫛⪩⨒∯220200)∺≝⩲(⪩⨒∯1020030⇴∐⪩⨒∯1102201))⨿(⪩⨒∯111031⫁⪩⨒∯203031⪨≂(⪩⨒∯1202210∽⪩⨒∯1012022))","highest_n_order":4,"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":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":6219,"base":4},"right_expr":{"type":"numeric_atoms","value":2592,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4620,"base":4},"right_expr":{"type":"numeric_atoms","value":5281,"base":4}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1357,"base":4},"right_expr":{"type":"numeric_atoms","value":2253,"base":4}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":6308,"base":4},"right_expr":{"type":"numeric_atoms","value":4490,"base":4}}}}},"used_operators":["QiR2Oyf5Xj","abYXlopdE0","KPf6cnQVty","1aApVXNlOP","HnzytWxmAO","sdazOOVcIp","0ajvFaJAv0","y4ImoPnbV5"],"dependent_operators":["7j4O788W3g","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D","QMFrweE19q"],"result":"⪩⨒∯-10333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6219","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=6219, right_input=2592, 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=-3154","layer":3},{"info":"number node, value=4620","layer":4},{"info":"number node, value=5281","layer":4},{"info":"compute binary expreesion, left_input=4620, right_input=5281, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3154, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=1357","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=2253, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=6308","layer":4},{"info":"number node, value=4490","layer":4},{"info":"compute binary expreesion, left_input=6308, right_input=4490, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-44832","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-44832, 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=90086","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=90086, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"compute unary expreesion, input=-319, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-319","layer":0}],"base":4,"result_base":4,"text":"∷≠((⪩⨒∯1201023⩇∃⫛⪩⨒∯220200)∺≝⩲(⪩⨒∯1020030⇴∐⪩⨒∯1102201))⨿(⪩⨒∯111031⫁⪩⨒∯203031⪨≂(⪩⨒∯1202210∽⪩⨒∯1012022))=⪩⨒∯-10333","reverse_text":"⪩⨒∯-10333=∷≠((⪩⨒∯1201023⩇∃⫛⪩⨒∯220200)∺≝⩲(⪩⨒∯1020030⇴∐⪩⨒∯1102201))⨿(⪩⨒∯111031⫁⪩⨒∯203031⪨≂(⪩⨒∯1202210∽⪩⨒∯1012022))","cot":[{"info":"⪩⨒∯1201023⩇∃⫛⪩⨒∯220200=⪩⨒∯-301102","layer":3},{"info":"⪩⨒∯1020030⇴∐⪩⨒∯1102201=NaN","layer":3},{"info":"⪩⨒∯-301102∺≝⩲NaN=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯111031⫁⪩⨒∯203031=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1202210∽⪩⨒∯1012022=⪩⨒∯-22330200","layer":3},{"info":"⪩⨒∯2200⪨≂⪩⨒∯-22330200=⪩⨒∯111333212","layer":2},{"info":"⪩⨒∯2200⨿⪩⨒∯111333212=⪩⨒∯-10333","layer":1},{"info":"∷≠⪩⨒∯-10333=⪩⨒∯-10333","layer":0}]}
{"id":174,"expression_no_base_symbol":"(($2372$⊭∹↮)⊴($1013$⊾⪯⋞$1102$))⩦(↯⪼($2635$↫))∽((↩$3381$⫁⪎$1711$)∵≐)","expression":"((⪩⨒∯211010⊭∹↮)⊴(⪩⨒∯33311⊾⪯⋞⪩⨒∯101032))⩦(↯⪼(⪩⨒∯221023↫))∽((↩⪩⨒∯310311⫁⪎⪩⨒∯122233)∵≐)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3030,"operation_count":10,"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":2372,"base":4}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1013,"base":4},"right_expr":{"type":"numeric_atoms","value":1102,"base":4}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"numeric_atoms","value":2635,"base":4}}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3381,"base":4},"right_expr":{"type":"numeric_atoms","value":1711,"base":4}}}}},"used_operators":["y4ImoPnbV5","0kmYd0q39Y","Nsiff2A1zJ","xNBdhnnwKq","HK0tfVPux8","8jW3W4yZS5","uPb5QRN0te","59igzFyhWz","jLgFTUHLKL","xRrnTEsQ6j"],"dependent_operators":["NTOWxs364D","QMFrweE19q","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","14qkJME0vr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2372","layer":4},{"info":"compute unary expreesion, input=2372, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4744","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1102, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1778","layer":3},{"info":"compute binary expreesion, left_input=4744, right_input=1778, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2635","layer":4},{"info":"compute unary expreesion, input=2635, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":1},{"info":"number node, value=3381","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=3381, right_input=1711, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1670","layer":3},{"info":"compute unary expreesion, input=1670, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10580","layer":2},{"info":"compute unary expreesion, input=-10580, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=10130","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=10130, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯211010⊭∹↮)⊴(⪩⨒∯33311⊾⪯⋞⪩⨒∯101032))⩦(↯⪼(⪩⨒∯221023↫))∽((↩⪩⨒∯310311⫁⪎⪩⨒∯122233)∵≐)=NaN","reverse_text":"NaN=((⪩⨒∯211010⊭∹↮)⊴(⪩⨒∯33311⊾⪯⋞⪩⨒∯101032))⩦(↯⪼(⪩⨒∯221023↫))∽((↩⪩⨒∯310311⫁⪎⪩⨒∯122233)∵≐)","cot":[{"info":"⪩⨒∯211010⊭∹↮=⪩⨒∯1022020","layer":3},{"info":"⪩⨒∯33311⊾⪯⋞⪩⨒∯101032=⪩⨒∯123302","layer":3},{"info":"⪩⨒∯1022020⊴⪩⨒∯123302=NaN","layer":2},{"info":"⪩⨒∯221023↫=⪩⨒∯2200","layer":3},{"info":"↯⪼⪩⨒∯2200=⪩⨒∯-111","layer":2},{"info":"NaN⩦⪩⨒∯-111=NaN","layer":1},{"info":"⪩⨒∯310311⫁⪎⪩⨒∯122233=⪩⨒∯122012","layer":3},{"info":"↩⪩⨒∯122012=⪩⨒∯-2211110","layer":2},{"info":"⪩⨒∯-2211110∵≐=⪩⨒∯2132102","layer":1},{"info":"NaN∽⪩⨒∯2132102=NaN","layer":0}]}
{"id":175,"expression_no_base_symbol":"(($2644$∇⊂⋱$4538$∌↝$1746$⇻⋧≁$5337$)⇪⋭)⊬⨰(($4626$⨜⨶$4236$/$7817$∲⫓$3212$)⨲∙)","expression":"((⪩⨒∯221110∇⊂⋱⪩⨒∯1012322∌↝⪩⨒∯123102⇻⋧≁⪩⨒∯1103121)⇪⋭)⊬⨰((⪩⨒∯1020102⨜⨶⪩⨒∯1002030/⪩⨒∯1322021∲⫓⪩⨒∯302030)⨲∙)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2065,"operation_count":9,"complexity_ratio":229.44444444444446,"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":2644,"base":4},"right_expr":{"type":"numeric_atoms","value":4538,"base":4}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1746,"base":4},"right_expr":{"type":"numeric_atoms","value":5337,"base":4}}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4626,"base":4},"right_expr":{"type":"numeric_atoms","value":4236,"base":4}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7817,"base":4},"right_expr":{"type":"numeric_atoms","value":3212,"base":4}}}}},"used_operators":["s3Fd5m9Dh2","Z8Yg6dlDSp","9Isq31Ruls","nhYeJWJD5X","jCPkEVoL5K","cRahaglYVE","XhwjNDsVaA","HiPekx5b7W","i8ToyICDmI"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","rysDP5nf3Z","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2644","layer":4},{"info":"number node, value=4538","layer":4},{"info":"compute binary expreesion, left_input=2644, right_input=4538, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4742","layer":3},{"info":"number node, value=1746","layer":4},{"info":"number node, value=5337","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=5337, 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=4742, right_input=-447, 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 unary expreesion, input=0, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=0","layer":1},{"info":"number node, value=4626","layer":4},{"info":"number node, value=4236","layer":4},{"info":"compute binary expreesion, left_input=4626, right_input=4236, 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=-8216","layer":3},{"info":"number node, value=7817","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=7817, right_input=3212, 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=-8216, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯221110∇⊂⋱⪩⨒∯1012322∌↝⪩⨒∯123102⇻⋧≁⪩⨒∯1103121)⇪⋭)⊬⨰((⪩⨒∯1020102⨜⨶⪩⨒∯1002030/⪩⨒∯1322021∲⫓⪩⨒∯302030)⨲∙)=NaN","reverse_text":"NaN=((⪩⨒∯221110∇⊂⋱⪩⨒∯1012322∌↝⪩⨒∯123102⇻⋧≁⪩⨒∯1103121)⇪⋭)⊬⨰((⪩⨒∯1020102⨜⨶⪩⨒∯1002030/⪩⨒∯1322021∲⫓⪩⨒∯302030)⨲∙)","cot":[{"info":"⪩⨒∯221110∇⊂⋱⪩⨒∯1012322=⪩⨒∯1022012","layer":3},{"info":"⪩⨒∯123102⇻⋧≁⪩⨒∯1103121=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1022012∌↝⪩⨒∯-12333=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⇪⋭=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1020102⨜⨶⪩⨒∯1002030=⪩⨒∯-2000120","layer":3},{"info":"⪩⨒∯1322021∲⫓⪩⨒∯302030=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2000120/⪩⨒∯0=NaN","layer":2},{"info":"NaN⨲∙=NaN","layer":1},{"info":"⪩⨒∯0⊬⨰NaN=NaN","layer":0}]}
{"id":176,"expression_no_base_symbol":"↽≂(⪲⇎($3307$⨻⩈⩔$1154$)⨻⩈⩔($2765$≬⋮$7527$))","expression":"↽≂(⪲⇎(⪩⨒∯303223⨻⩈⩔⪩⨒∯102002)⨻⩈⩔(⪩⨒∯223031≬⋮⪩⨒∯1311213))","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":240,"operation_count":5,"complexity_ratio":48.0,"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":3307,"base":4},"right_expr":{"type":"numeric_atoms","value":1154,"base":4}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2765,"base":4},"right_expr":{"type":"numeric_atoms","value":7527,"base":4}}}}},"used_operators":["u6S6b8DprG","XPYlsWDdGa","nEsXyWgiOK","kbkesczE7y"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⪩⨒∯-2010312130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3307","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=1154, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=18055","layer":3},{"info":"number node, value=2765","layer":4},{"info":"number node, value=7527","layer":4},{"info":"compute binary expreesion, left_input=2765, right_input=7527, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=18055, right_input=868, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=136039","layer":2},{"info":"compute unary expreesion, input=136039, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=272078","layer":1},{"info":"compute unary expreesion, input=272078, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-544156","layer":0}],"base":4,"result_base":4,"text":"↽≂(⪲⇎(⪩⨒∯303223⨻⩈⩔⪩⨒∯102002)⨻⩈⩔(⪩⨒∯223031≬⋮⪩⨒∯1311213))=⪩⨒∯-2010312130","reverse_text":"⪩⨒∯-2010312130=↽≂(⪲⇎(⪩⨒∯303223⨻⩈⩔⪩⨒∯102002)⨻⩈⩔(⪩⨒∯223031≬⋮⪩⨒∯1311213))","cot":[{"info":"⪩⨒∯303223⨻⩈⩔⪩⨒∯102002=⪩⨒∯10122013","layer":3},{"info":"⪩⨒∯223031≬⋮⪩⨒∯1311213=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯10122013⨻⩈⩔⪩⨒∯31210=⪩⨒∯201031213","layer":2},{"info":"⪲⇎⪩⨒∯201031213=⪩⨒∯1002123032","layer":1},{"info":"↽≂⪩⨒∯1002123032=⪩⨒∯-2010312130","layer":0}]}
{"id":177,"expression_no_base_symbol":"($5886$↞⋁$3823$⪥$3169$⪒⊣⊆$4009$⨒$1589$∴$8014$⫒⫫$5025$⩍⋽⫝̸$3917$)⊢(($2538$⪇≇⋚$2052$)∼($4113$⩨$1338$)∽((⫯$1210$)⨀⨒))","expression":"(⪩⨒∯1123332↞⋁⪩⨒∯323233⪥⪩⨒∯301201⪒⊣⊆⪩⨒∯332221⨒⪩⨒∯120311∴⪩⨒∯1331032⫒⫫⪩⨒∯1032201⩍⋽⫝̸⪩⨒∯331031)⊢((⪩⨒∯213222⪇≇⋚⪩⨒∯200010)∼(⪩⨒∯1000101⩨⪩⨒∯110322)∽((⫯⪩⨒∯102322)⨀⨒))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":381,"operation_count":14,"complexity_ratio":27.214285714285715,"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":5886,"base":4},"right_expr":{"type":"numeric_atoms","value":3823,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3169,"base":4},"right_expr":{"type":"numeric_atoms","value":4009,"base":4}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1589,"base":4},"right_expr":{"type":"numeric_atoms","value":8014,"base":4}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5025,"base":4},"right_expr":{"type":"numeric_atoms","value":3917,"base":4}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2538,"base":4},"right_expr":{"type":"numeric_atoms","value":2052,"base":4}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4113,"base":4},"right_expr":{"type":"numeric_atoms","value":1338,"base":4}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1210,"base":4}}}}},"used_operators":["5twsqlHp2o","y75s1iXyHd","QbnwKVWMIQ","RqrPlJkxDo","eRqsBgTDFp","6Ko8hGgeMq","hrf7POJlIJ","BiWNJpBvwn","y4ImoPnbV5","DyGG3AbaNP","3sJ7IOPOlU","2DlMacCsIx","j6NVkjMzuk","H6BK1Evt7c"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","sdazOOVcIp","W4YGzv6Whe","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5886","layer":4},{"info":"number node, value=3823","layer":4},{"info":"compute binary expreesion, left_input=5886, right_input=3823, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3169","layer":4},{"info":"number node, value=4009","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=4009, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6338","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6338, 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=1589","layer":4},{"info":"number node, value=8014","layer":4},{"info":"compute binary expreesion, left_input=1589, right_input=8014, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4826","layer":3},{"info":"number node, value=5025","layer":4},{"info":"number node, value=3917","layer":4},{"info":"compute binary expreesion, left_input=5025, right_input=3917, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2971","layer":3},{"info":"compute binary expreesion, left_input=4826, right_input=2971, 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=nan, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"number node, value=2538","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=2538, right_input=2052, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=4113","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=4113, right_input=1338, 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 = 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=1210","layer":4},{"info":"compute unary expreesion, input=1210, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-36032","layer":3},{"info":"compute unary expreesion, input=-36032, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2407","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=-2407, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=7299","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7299, 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":4,"result_base":4,"text":"(⪩⨒∯1123332↞⋁⪩⨒∯323233⪥⪩⨒∯301201⪒⊣⊆⪩⨒∯332221⨒⪩⨒∯120311∴⪩⨒∯1331032⫒⫫⪩⨒∯1032201⩍⋽⫝̸⪩⨒∯331031)⊢((⪩⨒∯213222⪇≇⋚⪩⨒∯200010)∼(⪩⨒∯1000101⩨⪩⨒∯110322)∽((⫯⪩⨒∯102322)⨀⨒))=NaN","reverse_text":"NaN=(⪩⨒∯1123332↞⋁⪩⨒∯323233⪥⪩⨒∯301201⪒⊣⊆⪩⨒∯332221⨒⪩⨒∯120311∴⪩⨒∯1331032⫒⫫⪩⨒∯1032201⩍⋽⫝̸⪩⨒∯331031)⊢((⪩⨒∯213222⪇≇⋚⪩⨒∯200010)∼(⪩⨒∯1000101⩨⪩⨒∯110322)∽((⫯⪩⨒∯102322)⨀⨒))","cot":[{"info":"⪩⨒∯1123332↞⋁⪩⨒∯323233=NaN","layer":3},{"info":"⪩⨒∯301201⪒⊣⊆⪩⨒∯332221=⪩⨒∯1203002","layer":3},{"info":"NaN⪥⪩⨒∯1203002=NaN","layer":2},{"info":"⪩⨒∯120311∴⪩⨒∯1331032=⪩⨒∯1023122","layer":3},{"info":"⪩⨒∯1032201⩍⋽⫝̸⪩⨒∯331031=⪩⨒∯232123","layer":3},{"info":"⪩⨒∯1023122⫒⫫⪩⨒∯232123=NaN","layer":2},{"info":"NaN⨒NaN=NaN","layer":1},{"info":"⪩⨒∯213222⪇≇⋚⪩⨒∯200010=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1000101⩨⪩⨒∯110322=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0∼⪩⨒∯0=⪩⨒∯110","layer":2},{"info":"⫯⪩⨒∯102322=⪩⨒∯-20303000","layer":3},{"info":"⪩⨒∯-20303000⨀⨒=⪩⨒∯-211213","layer":2},{"info":"⪩⨒∯110∽⪩⨒∯-211213=⪩⨒∯1302003","layer":1},{"info":"NaN⊢⪩⨒∯1302003=NaN","layer":0}]}
{"id":178,"expression_no_base_symbol":"(↽≂(↨⩢⫨$1183$)⊋($1042$∙⊟$1749$))≒∊((⊆⋠($3811$⇌⫙⪟$3183$))⪔(($1201$↸$2426$)⩵∡$2157$⊹∫⫚$5841$))","expression":"(↽≂(↨⩢⫨⪩⨒∯102133)⊋(⪩⨒∯100102∙⊟⪩⨒∯123111))≒∊((⊆⋠(⪩⨒∯323203⇌⫙⪟⪩⨒∯301233))⪔((⪩⨒∯102301↸⪩⨒∯211322)⩵∡⪩⨒∯201231⊹∫⫚⪩⨒∯1123101))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5204,"operation_count":11,"complexity_ratio":473.09090909090907,"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":1183,"base":4}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1042,"base":4},"right_expr":{"type":"numeric_atoms","value":1749,"base":4}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3811,"base":4},"right_expr":{"type":"numeric_atoms","value":3183,"base":4}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1201,"base":4},"right_expr":{"type":"numeric_atoms","value":2426,"base":4}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2157,"base":4},"right_expr":{"type":"numeric_atoms","value":5841,"base":4}}}}},"used_operators":["5KTvxBwnZo","u6S6b8DprG","W4tP9CfskL","Z5CJsN7DuW","SxTAKzQCrw","GjBEYRfMaF","EBhcHTkKd8","AFVx7xoS7T","Y7wcNGrDQJ","1eCjFl0mb9","uWAJUKEvyW"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","glklzrTFfD","tifHPKVTfV","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL"],"result":"⪩⨒∯13210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1183","layer":4},{"info":"compute unary expreesion, input=1183, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1749, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=23392","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=23392, 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=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"number node, value=3811","layer":4},{"info":"number node, value=3183","layer":4},{"info":"compute binary expreesion, left_input=3811, right_input=3183, 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 = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"number node, value=1201","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=1201, right_input=2426, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1201","layer":3},{"info":"number node, value=2157","layer":4},{"info":"number node, value=5841","layer":4},{"info":"compute binary expreesion, left_input=2157, right_input=5841, 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=1201, right_input=0, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2523","layer":2},{"info":"compute binary expreesion, left_input=348, right_input=-2523, 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 = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=484","layer":0}],"base":4,"result_base":4,"text":"(↽≂(↨⩢⫨⪩⨒∯102133)⊋(⪩⨒∯100102∙⊟⪩⨒∯123111))≒∊((⊆⋠(⪩⨒∯323203⇌⫙⪟⪩⨒∯301233))⪔((⪩⨒∯102301↸⪩⨒∯211322)⩵∡⪩⨒∯201231⊹∫⫚⪩⨒∯1123101))=⪩⨒∯13210","reverse_text":"⪩⨒∯13210=(↽≂(↨⩢⫨⪩⨒∯102133)⊋(⪩⨒∯100102∙⊟⪩⨒∯123111))≒∊((⊆⋠(⪩⨒∯323203⇌⫙⪟⪩⨒∯301233))⪔((⪩⨒∯102301↸⪩⨒∯211322)⩵∡⪩⨒∯201231⊹∫⫚⪩⨒∯1123101))","cot":[{"info":"↨⩢⫨⪩⨒∯102133=⪩⨒∯0","layer":3},{"info":"⪩⨒∯100102∙⊟⪩⨒∯123111=⪩⨒∯11231200","layer":3},{"info":"⪩⨒∯0⊋⪩⨒∯11231200=⪩⨒∯0","layer":2},{"info":"↽≂⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯323203⇌⫙⪟⪩⨒∯301233=⪩⨒∯1301","layer":3},{"info":"⊆⋠⪩⨒∯1301=⪩⨒∯11130","layer":2},{"info":"⪩⨒∯102301↸⪩⨒∯211322=⪩⨒∯102301","layer":3},{"info":"⪩⨒∯201231⊹∫⫚⪩⨒∯1123101=⪩⨒∯0","layer":3},{"info":"⪩⨒∯102301⩵∡⪩⨒∯0=⪩⨒∯-213123","layer":2},{"info":"⪩⨒∯11130⪔⪩⨒∯-213123=⪩⨒∯13002","layer":1},{"info":"⪩⨒∯0≒∊⪩⨒∯13002=⪩⨒∯13210","layer":0}]}
{"id":179,"expression_no_base_symbol":"(≱⇩⩕($6923$≄⊠$2795$)≠≀($1309$⪉⨛$2047$))⨂≜(($5959$⨕⋳)⫞⩸⩒(⫓⪴$7921$)⫏⊷)","expression":"(≱⇩⩕(⪩⨒∯1230023≄⊠⪩⨒∯223223)≠≀(⪩⨒∯110131⪉⨛⪩⨒∯133333))⨂≜((⪩⨒∯1131013⨕⋳)⫞⩸⩒(⫓⪴⪩⨒∯1323301)⫏⊷)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":698208,"operation_count":9,"complexity_ratio":77578.66666666667,"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":6923,"base":4},"right_expr":{"type":"numeric_atoms","value":2795,"base":4}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1309,"base":4},"right_expr":{"type":"numeric_atoms","value":2047,"base":4}}}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":5959,"base":4}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7921,"base":4}}}}},"used_operators":["k1SHOSEABc","3DZMoQKiUl","IwW236VD4Y","vXNesLlMH1","EWw2JM7wp4","dcShxvzhyw","XGcMNugi78","4X4GscPmMf","eLxqMNBOBk"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6923","layer":4},{"info":"number node, value=2795","layer":4},{"info":"compute binary expreesion, left_input=6923, right_input=2795, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=49388","layer":3},{"info":"number node, value=1309","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=2047, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2095","layer":3},{"info":"compute binary expreesion, left_input=49388, right_input=2095, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-98470","layer":2},{"info":"compute unary expreesion, input=-98470, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=689900","layer":1},{"info":"number node, value=5959","layer":4},{"info":"compute unary expreesion, input=5959, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=444020","layer":3},{"info":"number node, value=7921","layer":4},{"info":"compute unary expreesion, input=7921, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=62742241","layer":3},{"info":"compute binary expreesion, left_input=444020, right_input=62742241, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=62742241","layer":2},{"info":"compute unary expreesion, input=62742241, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=689900, right_input=nan, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(≱⇩⩕(⪩⨒∯1230023≄⊠⪩⨒∯223223)≠≀(⪩⨒∯110131⪉⨛⪩⨒∯133333))⨂≜((⪩⨒∯1131013⨕⋳)⫞⩸⩒(⫓⪴⪩⨒∯1323301)⫏⊷)=NaN","reverse_text":"NaN=(≱⇩⩕(⪩⨒∯1230023≄⊠⪩⨒∯223223)≠≀(⪩⨒∯110131⪉⨛⪩⨒∯133333))⨂≜((⪩⨒∯1131013⨕⋳)⫞⩸⩒(⫓⪴⪩⨒∯1323301)⫏⊷)","cot":[{"info":"⪩⨒∯1230023≄⊠⪩⨒∯223223=⪩⨒∯30003230","layer":3},{"info":"⪩⨒∯110131⪉⨛⪩⨒∯133333=⪩⨒∯200233","layer":3},{"info":"⪩⨒∯30003230≠≀⪩⨒∯200233=⪩⨒∯-120002212","layer":2},{"info":"≱⇩⩕⪩⨒∯-120002212=⪩⨒∯2220123230","layer":1},{"info":"⪩⨒∯1131013⨕⋳=⪩⨒∯1230121310","layer":3},{"info":"⫓⪴⪩⨒∯1323301=⪩⨒∯3233111323201","layer":3},{"info":"⪩⨒∯1230121310⫞⩸⩒⪩⨒∯3233111323201=⪩⨒∯3233111323201","layer":2},{"info":"⪩⨒∯3233111323201⫏⊷=NaN","layer":1},{"info":"⪩⨒∯2220123230⨂≜NaN=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"($1586$⪶≀⋏$4249$⊪)↞⋁($3399$⋳⪒$2747$⊉≛↸($1292$⫑%∭))≁(⇈(($5089$⪶≀⋏$2605$)⫉⨲⊜($4597$⪔$8227$)))","expression":"(⪩⨒∯120302⪶≀⋏⪩⨒∯1002121⊪)↞⋁(⪩⨒∯311013⋳⪒⪩⨒∯222323⊉≛↸(⪩⨒∯110030⫑%∭))≁(⇈((⪩⨒∯1033201⪶≀⋏⪩⨒∯220231)⫉⨲⊜(⪩⨒∯1013311⪔⪩⨒∯2000203)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":113167,"operation_count":11,"complexity_ratio":10287.90909090909,"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":1586,"base":4},"right_expr":{"type":"numeric_atoms","value":4249,"base":4}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3399,"base":4},"right_expr":{"type":"numeric_atoms","value":2747,"base":4}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":1292,"base":4}}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5089,"base":4},"right_expr":{"type":"numeric_atoms","value":2605,"base":4}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":4597,"base":4},"right_expr":{"type":"numeric_atoms","value":8227,"base":4}}}}},"used_operators":["8N2wDY1A35","RqrPlJkxDo","zVYPLywUTj","zR4jO40bMj","DZ8iAZOCBD","12rbrZMWeM","xUx7qlDO4z","SLLxy00UIr","WhqkvtTD3t","GjBEYRfMaF"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","eewbuw0ToL","zVYPLywUTj","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1586","layer":4},{"info":"number node, value=4249","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=4249, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-13488","layer":3},{"info":"compute unary expreesion, input=-13488, 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=1820826470","layer":2},{"info":"number node, value=3399","layer":4},{"info":"number node, value=2747","layer":4},{"info":"compute binary expreesion, left_input=3399, right_input=2747, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3764","layer":3},{"info":"number node, value=1292","layer":4},{"info":"compute unary expreesion, input=1292, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3764, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7528","layer":2},{"info":"compute binary expreesion, left_input=1820826470, right_input=7528, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=5089","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=5089, right_input=2605, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-20709","layer":3},{"info":"number node, value=4597","layer":4},{"info":"number node, value=8227","layer":4},{"info":"compute binary expreesion, left_input=4597, right_input=8227, 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=-20709, right_input=450, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯120302⪶≀⋏⪩⨒∯1002121⊪)↞⋁(⪩⨒∯311013⋳⪒⪩⨒∯222323⊉≛↸(⪩⨒∯110030⫑%∭))≁(⇈((⪩⨒∯1033201⪶≀⋏⪩⨒∯220231)⫉⨲⊜(⪩⨒∯1013311⪔⪩⨒∯2000203)))=NaN","reverse_text":"NaN=(⪩⨒∯120302⪶≀⋏⪩⨒∯1002121⊪)↞⋁(⪩⨒∯311013⋳⪒⪩⨒∯222323⊉≛↸(⪩⨒∯110030⫑%∭))≁(⇈((⪩⨒∯1033201⪶≀⋏⪩⨒∯220231)⫉⨲⊜(⪩⨒∯1013311⪔⪩⨒∯2000203)))","cot":[{"info":"⪩⨒∯120302⪶≀⋏⪩⨒∯1002121=⪩⨒∯-3102300","layer":3},{"info":"⪩⨒∯-3102300⊪=⪩⨒∯1230201321231212","layer":2},{"info":"⪩⨒∯311013⋳⪒⪩⨒∯222323=⪩⨒∯322310","layer":3},{"info":"⪩⨒∯110030⫑%∭=NaN","layer":3},{"info":"⪩⨒∯322310⊉≛↸NaN=⪩⨒∯1311220","layer":2},{"info":"⪩⨒∯1230201321231212↞⋁⪩⨒∯1311220=NaN","layer":1},{"info":"⪩⨒∯1033201⪶≀⋏⪩⨒∯220231=⪩⨒∯-11003211","layer":3},{"info":"⪩⨒∯1013311⪔⪩⨒∯2000203=⪩⨒∯13002","layer":3},{"info":"⪩⨒∯-11003211⫉⨲⊜⪩⨒∯13002=Inf","layer":2},{"info":"⇈Inf=⪩⨒∯-12333","layer":1},{"info":"NaN≁⪩⨒∯-12333=NaN","layer":0}]}
{"id":181,"expression_no_base_symbol":"((⨦⪝($5583$⨸⪁$1159$))⪮%⊝($1960$⋳⪒$9221$)⨔⇊(⫡⇟⇯$2731$))⊉↱≁(($1558$⋅⇍$1843$⊭↱$2365$⋥⋵⩄$3214$)⇆⨓≜)","expression":"((⨦⪝(⪩⨒∯1113033⨸⪁⪩⨒∯102013))⪮%⊝(⪩⨒∯132220⋳⪒⪩⨒∯2100011)⨔⇊(⫡⇟⇯⪩⨒∯222223))⊉↱≁((⪩⨒∯120112⋅⇍⪩⨒∯130303⊭↱⪩⨒∯210331⋥⋵⩄⪩⨒∯302032)⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":271,"operation_count":11,"complexity_ratio":24.636363636363637,"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":5583,"base":4},"right_expr":{"type":"numeric_atoms","value":1159,"base":4}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1960,"base":4},"right_expr":{"type":"numeric_atoms","value":9221,"base":4}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2731,"base":4}}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1558,"base":4},"right_expr":{"type":"numeric_atoms","value":1843,"base":4}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2365,"base":4},"right_expr":{"type":"numeric_atoms","value":3214,"base":4}}}}},"used_operators":["w2P8NbNXyL","IWmyXbctLI","SUjycxNXIR","g55IO6H4Gj","JclMnS0uGI","12rbrZMWeM","qWUSsah53b","KvvgdUaMHJ","COABgblf1C","AdZkA7nFnk","7t3wd0Fuz7"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","P8v4zCKN1o","Uaa54Peajs","KYD54nUTWz","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5583","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=5583, right_input=1159, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13484","layer":3},{"info":"compute unary expreesion, input=13484, 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=1960","layer":4},{"info":"number node, value=9221","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=9221, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5588","layer":3},{"info":"number node, value=2731","layer":4},{"info":"compute unary expreesion, input=2731, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=6330","layer":3},{"info":"compute binary expreesion, left_input=-5588, right_input=6330, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6330","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=6330, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3452","layer":1},{"info":"number node, value=1558","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=1558, right_input=1843, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2365","layer":4},{"info":"number node, value=3214","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=3214, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=275","layer":2},{"info":"compute unary expreesion, input=275, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3452, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⨦⪝(⪩⨒∯1113033⨸⪁⪩⨒∯102013))⪮%⊝(⪩⨒∯132220⋳⪒⪩⨒∯2100011)⨔⇊(⫡⇟⇯⪩⨒∯222223))⊉↱≁((⪩⨒∯120112⋅⇍⪩⨒∯130303⊭↱⪩⨒∯210331⋥⋵⩄⪩⨒∯302032)⇆⨓≜)=NaN","reverse_text":"NaN=((⨦⪝(⪩⨒∯1113033⨸⪁⪩⨒∯102013))⪮%⊝(⪩⨒∯132220⋳⪒⪩⨒∯2100011)⨔⇊(⫡⇟⇯⪩⨒∯222223))⊉↱≁((⪩⨒∯120112⋅⇍⪩⨒∯130303⊭↱⪩⨒∯210331⋥⋵⩄⪩⨒∯302032)⇆⨓≜)","cot":[{"info":"⪩⨒∯1113033⨸⪁⪩⨒∯102013=⪩⨒∯3102230","layer":3},{"info":"⨦⪝⪩⨒∯3102230=⪩⨒∯-131130","layer":2},{"info":"⪩⨒∯132220⋳⪒⪩⨒∯2100011=⪩⨒∯-1113110","layer":3},{"info":"⫡⇟⇯⪩⨒∯222223=⪩⨒∯1202322","layer":3},{"info":"⪩⨒∯-1113110⨔⇊⪩⨒∯1202322=⪩⨒∯1202322","layer":2},{"info":"⪩⨒∯-131130⪮%⊝⪩⨒∯1202322=⪩⨒∯-311330","layer":1},{"info":"⪩⨒∯120112⋅⇍⪩⨒∯130303=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯210331⋥⋵⩄⪩⨒∯302032=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯-112⊭↱⪩⨒∯1301=⪩⨒∯10103","layer":2},{"info":"⪩⨒∯10103⇆⨓≜=NaN","layer":1},{"info":"⪩⨒∯-311330⊉↱≁NaN=NaN","layer":0}]}
{"id":182,"expression_no_base_symbol":"($4581$∁)≨($1157$⨰$1793$)⪛⫼($4099$⊨$2995$)∴($2355$↬$1450$)-$1357$⩦$2291$⪇≇⋚(↓⇌$3521$)⇄($2479$+⇶⊼$1260$)↳∿⪆$2075$≁↽≥$2472$","expression":"(⪩⨒∯1013211∁)≨(⪩⨒∯102011⨰⪩⨒∯130001)⪛⫼(⪩⨒∯1000003⊨⪩⨒∯232303)∴(⪩⨒∯210303↬⪩⨒∯112222)-⪩⨒∯111031⩦⪩⨒∯203303⪇≇⋚(↓⇌⪩⨒∯313001)⇄(⪩⨒∯212233+⇶⊼⪩⨒∯103230)↳∿⪆⪩⨒∯200123≁↽≥⪩⨒∯212220","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4076,"operation_count":15,"complexity_ratio":271.73333333333335,"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":4581,"base":4}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1157,"base":4},"right_expr":{"type":"numeric_atoms","value":1793,"base":4}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":4099,"base":4},"right_expr":{"type":"numeric_atoms","value":2995,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2355,"base":4},"right_expr":{"type":"numeric_atoms","value":1450,"base":4}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1357,"base":4},"right_expr":{"type":"numeric_atoms","value":2291,"base":4}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":3521,"base":4}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2479,"base":4},"right_expr":{"type":"numeric_atoms","value":1260,"base":4}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2075,"base":4},"right_expr":{"type":"numeric_atoms","value":2472,"base":4}}}}},"used_operators":["rysDP5nf3Z","hyuBjUqXlG","0KMCeP1Jsh","jdwGQqwJi5","eewbuw0ToL","hrf7POJlIJ","vg4gO5BX6G","B5M0gjZbta","3EYGwJThht","3sJ7IOPOlU","0kmYd0q39Y","PxpmPgHHJV","Cw4SuJJGHO","TpPTUOHfaN","ncHt1X6cMc"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rGHVDoGpnC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","AHs5Up7iyr","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4581","layer":4},{"info":"compute unary expreesion, input=4581, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=4581","layer":3},{"info":"number node, value=1157","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=1793, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-626","layer":3},{"info":"compute binary expreesion, left_input=4581, right_input=-626, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-43334","layer":2},{"info":"number node, value=4099","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=4099, right_input=2995, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=17427","layer":3},{"info":"number node, value=2355","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=1450, 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=17427, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=36502","layer":2},{"info":"compute binary expreesion, left_input=-43334, right_input=36502, 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=1357","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=2291, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2714","layer":3},{"info":"number node, value=3521","layer":4},{"info":"compute unary expreesion, input=3521, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=3521","layer":3},{"info":"compute binary expreesion, left_input=2714, right_input=3521, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=2479","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=1260, 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=2075","layer":4},{"info":"number node, value=2472","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=2472, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=31875","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=31875, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1013211∁)≨(⪩⨒∯102011⨰⪩⨒∯130001)⪛⫼(⪩⨒∯1000003⊨⪩⨒∯232303)∴(⪩⨒∯210303↬⪩⨒∯112222)-⪩⨒∯111031⩦⪩⨒∯203303⪇≇⋚(↓⇌⪩⨒∯313001)⇄(⪩⨒∯212233+⇶⊼⪩⨒∯103230)↳∿⪆⪩⨒∯200123≁↽≥⪩⨒∯212220=NaN","reverse_text":"NaN=(⪩⨒∯1013211∁)≨(⪩⨒∯102011⨰⪩⨒∯130001)⪛⫼(⪩⨒∯1000003⊨⪩⨒∯232303)∴(⪩⨒∯210303↬⪩⨒∯112222)-⪩⨒∯111031⩦⪩⨒∯203303⪇≇⋚(↓⇌⪩⨒∯313001)⇄(⪩⨒∯212233+⇶⊼⪩⨒∯103230)↳∿⪆⪩⨒∯200123≁↽≥⪩⨒∯212220","cot":[{"info":"⪩⨒∯1013211∁=⪩⨒∯1013211","layer":3},{"info":"⪩⨒∯102011⨰⪩⨒∯130001=⪩⨒∯-21302","layer":3},{"info":"⪩⨒∯1013211≨⪩⨒∯-21302=⪩⨒∯-22211012","layer":2},{"info":"⪩⨒∯1000003⊨⪩⨒∯232303=⪩⨒∯10100103","layer":3},{"info":"⪩⨒∯210303↬⪩⨒∯112222=NaN","layer":3},{"info":"⪩⨒∯10100103∴NaN=⪩⨒∯20322112","layer":2},{"info":"⪩⨒∯-22211012⪛⫼⪩⨒∯20322112=⪩⨒∯33020","layer":1},{"info":"⪩⨒∯111031⩦⪩⨒∯203303=⪩⨒∯222122","layer":3},{"info":"↓⇌⪩⨒∯313001=⪩⨒∯313001","layer":3},{"info":"⪩⨒∯222122⪇≇⋚⪩⨒∯313001=⪩⨒∯0","layer":2},{"info":"⪩⨒∯212233+⇶⊼⪩⨒∯103230=NaN","layer":3},{"info":"⪩⨒∯200123≁↽≥⪩⨒∯212220=⪩⨒∯13302003","layer":3},{"info":"NaN↳∿⪆⪩⨒∯13302003=NaN","layer":2},{"info":"⪩⨒∯0⇄NaN=NaN","layer":1},{"info":"⪩⨒∯33020-NaN=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"⇋↷(⪡⇡≛($3070$≎⊠⪸$2723$))↞⋁(($4252$≀⩗∶$3724$)⨎$4683$⨻⩈⩔$1300$)","expression":"⇋↷(⪡⇡≛(⪩⨒∯233332≎⊠⪸⪩⨒∯222203))↞⋁((⪩⨒∯1002130≀⩗∶⪩⨒∯322030)⨎⪩⨒∯1021023⨻⩈⩔⪩⨒∯110110)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":609,"operation_count":7,"complexity_ratio":87.0,"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":3070,"base":4},"right_expr":{"type":"numeric_atoms","value":2723,"base":4}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4252,"base":4},"right_expr":{"type":"numeric_atoms","value":3724,"base":4}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4683,"base":4},"right_expr":{"type":"numeric_atoms","value":1300,"base":4}}}}},"used_operators":["SWo3A1KBJH","RqrPlJkxDo","qL4PrbW1Dq","bJkvcejdHO","rJVOvQCfKK","8INZBEW696","nEsXyWgiOK"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3070","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=3070, right_input=2723, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=794657","layer":3},{"info":"compute unary expreesion, input=794657, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-794657","layer":2},{"info":"number node, value=4252","layer":4},{"info":"number node, value=3724","layer":4},{"info":"compute binary expreesion, left_input=4252, right_input=3724, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=4683","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=4683, right_input=1300, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=29063","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=29063, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=29063","layer":2},{"info":"compute binary expreesion, left_input=-794657, right_input=29063, 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 = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇋↷(⪡⇡≛(⪩⨒∯233332≎⊠⪸⪩⨒∯222203))↞⋁((⪩⨒∯1002130≀⩗∶⪩⨒∯322030)⨎⪩⨒∯1021023⨻⩈⩔⪩⨒∯110110)=NaN","reverse_text":"NaN=⇋↷(⪡⇡≛(⪩⨒∯233332≎⊠⪸⪩⨒∯222203))↞⋁((⪩⨒∯1002130≀⩗∶⪩⨒∯322030)⨎⪩⨒∯1021023⨻⩈⩔⪩⨒∯110110)","cot":[{"info":"⪩⨒∯233332≎⊠⪸⪩⨒∯222203=⪩⨒∯3002000201","layer":3},{"info":"⪡⇡≛⪩⨒∯3002000201=⪩⨒∯-3002000201","layer":2},{"info":"⪩⨒∯1002130≀⩗∶⪩⨒∯322030=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1021023⨻⩈⩔⪩⨒∯110110=⪩⨒∯13012013","layer":3},{"info":"⪩⨒∯0⨎⪩⨒∯13012013=⪩⨒∯13012013","layer":2},{"info":"⪩⨒∯-3002000201↞⋁⪩⨒∯13012013=NaN","layer":1},{"info":"⇋↷NaN=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"↪⫪⫘(($1809$⩨$8014$)⨱∎)⇻⋧≁(($1550$⩭)↸(↘$3376$))","expression":"↪⫪⫘((⪩⨒∯130101⩨⪩⨒∯1331032)⨱∎)⇻⋧≁((⪩⨒∯120032⩭)↸(↘⪩⨒∯310300))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":29264,"operation_count":7,"complexity_ratio":4180.571428571428,"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":4},"right_expr":{"type":"numeric_atoms","value":8014,"base":4}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"numeric_atoms","value":1550,"base":4}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":3376,"base":4}}}}},"used_operators":["9dWsAM3GFt","jCPkEVoL5K","MmTdOpaElr","2DlMacCsIx","1eCjFl0mb9","yIPP7u6H5x","LdNpr8hQHL"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","tifHPKVTfV","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","uFcxV4UQCh"],"result":"⪩⨒∯110","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1809","layer":4},{"info":"number node, value=8014","layer":4},{"info":"compute binary expreesion, left_input=1809, right_input=8014, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"compute unary expreesion, input=-12, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=3376","layer":4},{"info":"compute unary expreesion, input=3376, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=240","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=240, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*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":"compute unary expreesion, input=-447, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":0}],"base":4,"result_base":4,"text":"↪⫪⫘((⪩⨒∯130101⩨⪩⨒∯1331032)⨱∎)⇻⋧≁((⪩⨒∯120032⩭)↸(↘⪩⨒∯310300))=⪩⨒∯110","reverse_text":"⪩⨒∯110=↪⫪⫘((⪩⨒∯130101⩨⪩⨒∯1331032)⨱∎)⇻⋧≁((⪩⨒∯120032⩭)↸(↘⪩⨒∯310300))","cot":[{"info":"⪩⨒∯130101⩨⪩⨒∯1331032=⪩⨒∯-30","layer":3},{"info":"⪩⨒∯-30⨱∎=⪩⨒∯0","layer":2},{"info":"⪩⨒∯120032⩭=NaN","layer":3},{"info":"↘⪩⨒∯310300=⪩⨒∯3300","layer":3},{"info":"NaN↸⪩⨒∯3300=NaN","layer":2},{"info":"⪩⨒∯0⇻⋧≁NaN=⪩⨒∯-12333","layer":1},{"info":"↪⫪⫘⪩⨒∯-12333=⪩⨒∯110","layer":0}]}
{"id":185,"expression_no_base_symbol":"((⇋↷$8109$)⪥$1034$≁$5903$⊨($1610$⫥∨⫟$3947$)⊔($3423$⨽$4037$))⇻⋧≁(((⊿$3846$)⋾⨃∁($3188$⋳⪒$3813$))⇻⋧≁(($3022$⨑≵⋬$8606$)⨚⇆($1552$⪡$1248$)))","expression":"((⇋↷⪩⨒∯1332231)⪥⪩⨒∯100022≁⪩⨒∯1130033⊨(⪩⨒∯121022⫥∨⫟⪩⨒∯331223)⊔(⪩⨒∯311133⨽⪩⨒∯333011))⇻⋧≁(((⊿⪩⨒∯330012)⋾⨃∁(⪩⨒∯301310⋳⪒⪩⨒∯323211))⇻⋧≁((⪩⨒∯233032⨑≵⋬⪩⨒∯2012132)⨚⇆(⪩⨒∯120100⪡⪩⨒∯103200)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1367748,"operation_count":15,"complexity_ratio":91183.2,"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":8109,"base":4}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1034,"base":4},"right_expr":{"type":"numeric_atoms","value":5903,"base":4}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1610,"base":4},"right_expr":{"type":"numeric_atoms","value":3947,"base":4}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3423,"base":4},"right_expr":{"type":"numeric_atoms","value":4037,"base":4}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3846,"base":4}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3188,"base":4},"right_expr":{"type":"numeric_atoms","value":3813,"base":4}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3022,"base":4},"right_expr":{"type":"numeric_atoms","value":8606,"base":4}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1552,"base":4},"right_expr":{"type":"numeric_atoms","value":1248,"base":4}}}}},"used_operators":["jCPkEVoL5K","vg4gO5BX6G","QbnwKVWMIQ","SWo3A1KBJH","8N2wDY1A35","E4l6HwMY31","KYD54nUTWz","8HhzD0ZcuI","212REbPD9h","DO4fhlbJSI","12rbrZMWeM","lwHaAYXP2r","XnXgA4xnOs","oraRL2iQuh"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"⪩⨒∯-12333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8109","layer":4},{"info":"compute unary expreesion, input=8109, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=64872","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=5903","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=5903, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=128471","layer":3},{"info":"compute binary expreesion, left_input=64872, right_input=128471, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=264140","layer":2},{"info":"number node, value=1610","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=3947, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3423","layer":4},{"info":"number node, value=4037","layer":4},{"info":"compute binary expreesion, left_input=3423, right_input=4037, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-35161584","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-35161584, 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=264140, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=1057591","layer":1},{"info":"number node, value=3846","layer":4},{"info":"compute unary expreesion, input=3846, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-16122","layer":3},{"info":"number node, value=3188","layer":4},{"info":"number node, value=3813","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=3813, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2276","layer":3},{"info":"compute binary expreesion, left_input=-16122, right_input=2276, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=160","layer":2},{"info":"number node, value=3022","layer":4},{"info":"number node, value=8606","layer":4},{"info":"compute binary expreesion, left_input=3022, right_input=8606, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-43753","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=1248, 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=-43753, right_input=107, 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 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 binary expreesion, left_input=1057591, 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":0}],"base":4,"result_base":4,"text":"((⇋↷⪩⨒∯1332231)⪥⪩⨒∯100022≁⪩⨒∯1130033⊨(⪩⨒∯121022⫥∨⫟⪩⨒∯331223)⊔(⪩⨒∯311133⨽⪩⨒∯333011))⇻⋧≁(((⊿⪩⨒∯330012)⋾⨃∁(⪩⨒∯301310⋳⪒⪩⨒∯323211))⇻⋧≁((⪩⨒∯233032⨑≵⋬⪩⨒∯2012132)⨚⇆(⪩⨒∯120100⪡⪩⨒∯103200)))=⪩⨒∯-12333","reverse_text":"⪩⨒∯-12333=((⇋↷⪩⨒∯1332231)⪥⪩⨒∯100022≁⪩⨒∯1130033⊨(⪩⨒∯121022⫥∨⫟⪩⨒∯331223)⊔(⪩⨒∯311133⨽⪩⨒∯333011))⇻⋧≁(((⊿⪩⨒∯330012)⋾⨃∁(⪩⨒∯301310⋳⪒⪩⨒∯323211))⇻⋧≁((⪩⨒∯233032⨑≵⋬⪩⨒∯2012132)⨚⇆(⪩⨒∯120100⪡⪩⨒∯103200)))","cot":[{"info":"⇋↷⪩⨒∯1332231=⪩⨒∯33311220","layer":3},{"info":"⪩⨒∯100022≁⪩⨒∯1130033=⪩⨒∯133113113","layer":3},{"info":"⪩⨒∯33311220⪥⪩⨒∯133113113=⪩⨒∯1000133030","layer":2},{"info":"⪩⨒∯121022⫥∨⫟⪩⨒∯331223=NaN","layer":3},{"info":"⪩⨒∯311133⨽⪩⨒∯333011=⪩⨒∯-2012020113300","layer":3},{"info":"NaN⊔⪩⨒∯-2012020113300=NaN","layer":2},{"info":"⪩⨒∯1000133030⊨NaN=⪩⨒∯10002030313","layer":1},{"info":"⊿⪩⨒∯330012=⪩⨒∯-3323322","layer":3},{"info":"⪩⨒∯301310⋳⪒⪩⨒∯323211=⪩⨒∯203210","layer":3},{"info":"⪩⨒∯-3323322⋾⨃∁⪩⨒∯203210=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯233032⨑≵⋬⪩⨒∯2012132=⪩⨒∯-22223221","layer":3},{"info":"⪩⨒∯120100⪡⪩⨒∯103200=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯-22223221⨚⇆⪩⨒∯1223=NaN","layer":2},{"info":"⪩⨒∯2200⇻⋧≁NaN=NaN","layer":1},{"info":"⪩⨒∯10002030313⇻⋧≁NaN=⪩⨒∯-12333","layer":0}]}
{"id":186,"expression_no_base_symbol":"($6243$≎⪠$2100$⫉⨲⊜($8444$⪒$4868$)≓∲((⋗⩴⪓$3246$)↦))⫢⨠(($3482$⊅)⪥($2969$⊾⪯⋞$1352$))≴⪞⇿(⇘$3522$⪬$1391$)","expression":"(⪩⨒∯1201203≎⪠⪩⨒∯200310⫉⨲⊜(⪩⨒∯2003330⪒⪩⨒∯1030010)≓∲((⋗⩴⪓⪩⨒∯302232)↦))⫢⨠((⪩⨒∯312122⊅)⪥(⪩⨒∯232121⊾⪯⋞⪩⨒∯111020))≴⪞⇿(⇘⪩⨒∯313002⪬⪩⨒∯111233)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":30283,"operation_count":13,"complexity_ratio":2329.4615384615386,"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":4},"right_expr":{"type":"numeric_atoms","value":2100,"base":4}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8444,"base":4},"right_expr":{"type":"numeric_atoms","value":4868,"base":4}}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":3246,"base":4}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":3482,"base":4}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2969,"base":4},"right_expr":{"type":"numeric_atoms","value":1352,"base":4}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3522,"base":4},"right_expr":{"type":"numeric_atoms","value":1391,"base":4}}}}},"used_operators":["xlXykHWxX1","s1XTVnmDOJ","WhqkvtTD3t","aNhz54LH3e","f6k1SAg4EE","fFznvYxMfW","nOKPl9n5zu","lvlrscuwVU","QbnwKVWMIQ","7p6YLioM7f","HK0tfVPux8","MGuIdZPyUC","Ez1Nq5fNfI"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eewbuw0ToL","zVYPLywUTj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6243","layer":4},{"info":"number node, value=2100","layer":4},{"info":"compute binary expreesion, left_input=6243, right_input=2100, 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=8444","layer":4},{"info":"number node, value=4868","layer":4},{"info":"compute binary expreesion, left_input=8444, right_input=4868, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13312","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-13312, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-13422","layer":2},{"info":"number node, value=3246","layer":4},{"info":"compute unary expreesion, input=3246, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2333","layer":3},{"info":"compute unary expreesion, input=-2333, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-16","layer":2},{"info":"compute binary expreesion, left_input=-13422, right_input=-16, 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":1},{"info":"number node, value=3482","layer":4},{"info":"compute unary expreesion, input=3482, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=2969","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=2969, right_input=1352, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2278","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=2278, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=3956","layer":2},{"info":"number node, value=3522","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=3522, right_input=1391, 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 = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=68422","layer":2},{"info":"compute binary expreesion, left_input=3956, right_input=68422, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=27129212","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=27129212, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1201203≎⪠⪩⨒∯200310⫉⨲⊜(⪩⨒∯2003330⪒⪩⨒∯1030010)≓∲((⋗⩴⪓⪩⨒∯302232)↦))⫢⨠((⪩⨒∯312122⊅)⪥(⪩⨒∯232121⊾⪯⋞⪩⨒∯111020))≴⪞⇿(⇘⪩⨒∯313002⪬⪩⨒∯111233)=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(⪩⨒∯1201203≎⪠⪩⨒∯200310⫉⨲⊜(⪩⨒∯2003330⪒⪩⨒∯1030010)≓∲((⋗⩴⪓⪩⨒∯302232)↦))⫢⨠((⪩⨒∯312122⊅)⪥(⪩⨒∯232121⊾⪯⋞⪩⨒∯111020))≴⪞⇿(⇘⪩⨒∯313002⪬⪩⨒∯111233)","cot":[{"info":"⪩⨒∯1201203≎⪠⪩⨒∯200310=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯2003330⪒⪩⨒∯1030010=⪩⨒∯-3100000","layer":3},{"info":"⪩⨒∯10301212⫉⨲⊜⪩⨒∯-3100000=⪩⨒∯-3101232","layer":2},{"info":"⋗⩴⪓⪩⨒∯302232=⪩⨒∯-210131","layer":3},{"info":"⪩⨒∯-210131↦=⪩⨒∯-100","layer":2},{"info":"⪩⨒∯-3101232≓∲⪩⨒∯-100=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯312122⊅=⪩⨒∯-2232","layer":3},{"info":"⪩⨒∯232121⊾⪯⋞⪩⨒∯111020=⪩⨒∯203212","layer":3},{"info":"⪩⨒∯-2232⪥⪩⨒∯203212=⪩⨒∯331310","layer":2},{"info":"⪩⨒∯313002⪬⪩⨒∯111233=⪩⨒∯103102","layer":3},{"info":"⇘⪩⨒∯103102=⪩⨒∯100231012","layer":2},{"info":"⪩⨒∯331310≴⪞⇿⪩⨒∯100231012=⪩⨒∯1213133111330","layer":1},{"info":"⪩⨒∯1003⫢⨠⪩⨒∯1213133111330=⪩⨒∯2200","layer":0}]}
{"id":187,"expression_no_base_symbol":"(($4911$⩣⫁∢$8111$⊉↱≁($5487$⊔$2573$))⨌↪)≑≱⪘","expression":"((⪩⨒∯1030233⩣⫁∢⪩⨒∯1332233⊉↱≁(⪩⨒∯1111233⊔⪩⨒∯220031))⨌↪)≑≱⪘","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":185,"operation_count":5,"complexity_ratio":37.0,"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":4911,"base":4},"right_expr":{"type":"numeric_atoms","value":8111,"base":4}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5487,"base":4},"right_expr":{"type":"numeric_atoms","value":2573,"base":4}}}}},"used_operators":["tGSeddj7UK","cWQsF5MvuD","w2P8NbNXyL","JDUIKTTSIa","E4l6HwMY31"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⪩⨒∯11120300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4911","layer":4},{"info":"number node, value=8111","layer":4},{"info":"compute binary expreesion, left_input=4911, right_input=8111, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-9661","layer":3},{"info":"number node, value=5487","layer":4},{"info":"number node, value=2573","layer":4},{"info":"compute binary expreesion, left_input=5487, right_input=2573, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=21439","layer":3},{"info":"compute binary expreesion, left_input=-9661, right_input=21439, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-226358","layer":2},{"info":"compute unary expreesion, input=-226358, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":1},{"info":"compute unary expreesion, input=-480, 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=22064","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1030233⩣⫁∢⪩⨒∯1332233⊉↱≁(⪩⨒∯1111233⊔⪩⨒∯220031))⨌↪)≑≱⪘=⪩⨒∯11120300","reverse_text":"⪩⨒∯11120300=((⪩⨒∯1030233⩣⫁∢⪩⨒∯1332233⊉↱≁(⪩⨒∯1111233⊔⪩⨒∯220031))⨌↪)≑≱⪘","cot":[{"info":"⪩⨒∯1030233⩣⫁∢⪩⨒∯1332233=⪩⨒∯-2112331","layer":3},{"info":"⪩⨒∯1111233⊔⪩⨒∯220031=⪩⨒∯11032333","layer":3},{"info":"⪩⨒∯-2112331⊉↱≁⪩⨒∯11032333=⪩⨒∯-313100312","layer":2},{"info":"⪩⨒∯-313100312⨌↪=⪩⨒∯-13200","layer":1},{"info":"⪩⨒∯-13200≑≱⪘=⪩⨒∯11120300","layer":0}]}
{"id":188,"expression_no_base_symbol":"(⨞⊢(⇺⋃$3417$)∣(≀↧⇸$2013$))⨥⫆(⇉-⫰(⇜($6539$≄⊠$2079$)))","expression":"(⨞⊢(⇺⋃⪩⨒∯311121)∣(≀↧⇸⪩⨒∯133131))⨥⫆(⇉-⫰(⇜(⪩⨒∯1212023≄⊠⪩⨒∯200133)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":458,"operation_count":8,"complexity_ratio":57.25,"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":3417,"base":4}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":2013,"base":4}}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":6539,"base":4},"right_expr":{"type":"numeric_atoms","value":2079,"base":4}}}}},"used_operators":["yXekIHxTD4","xUOZtlo3hN","PPChnnnBFF","E5v5B3UAjG","ljTHtUsqzn","IGFM8TAlm9","lFBm8KRb8F","vXNesLlMH1"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","XPYlsWDdGa","23Mk6UjR3U","eH2TOUuTDT","eewbuw0ToL","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3417","layer":4},{"info":"compute unary expreesion, input=3417, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=2013","layer":4},{"info":"compute unary expreesion, input=2013, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=4026","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4026, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=6539","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=6539, right_input=2079, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=37932","layer":3},{"info":"compute unary expreesion, input=37932, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-303864","layer":2},{"info":"compute unary expreesion, input=-303864, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⨞⊢(⇺⋃⪩⨒∯311121)∣(≀↧⇸⪩⨒∯133131))⨥⫆(⇉-⫰(⇜(⪩⨒∯1212023≄⊠⪩⨒∯200133)))=NaN","reverse_text":"NaN=(⨞⊢(⇺⋃⪩⨒∯311121)∣(≀↧⇸⪩⨒∯133131))⨥⫆(⇉-⫰(⇜(⪩⨒∯1212023≄⊠⪩⨒∯200133)))","cot":[{"info":"⇺⋃⪩⨒∯311121=NaN","layer":3},{"info":"≀↧⇸⪩⨒∯133131=⪩⨒∯332322","layer":3},{"info":"NaN∣⪩⨒∯332322=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⪩⨒∯1212023≄⊠⪩⨒∯200133=⪩⨒∯21100230","layer":3},{"info":"⇜⪩⨒∯21100230=⪩⨒∯-1022023320","layer":2},{"info":"⇉-⫰⪩⨒∯-1022023320=⪩⨒∯110","layer":1},{"info":"NaN⨥⫆⪩⨒∯110=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"((($2267$⩨$2317$)⩘⨬⇊)⪨≂($1718$⫰⋱$8014$)⪡($1249$⇆⨓≜))⇣⩺⋵($1046$∇⊂⋱$1014$⨪↰⇹($1448$⊍⩺⋍$5737$)⪁(⩪∧⨌$2875$)⩺⪪(⊆⋠$3326$))","expression":"(((⪩⨒∯203123⩨⪩⨒∯210031)⩘⨬⇊)⪨≂(⪩⨒∯122312⫰⋱⪩⨒∯1331032)⪡(⪩⨒∯103201⇆⨓≜))⇣⩺⋵(⪩⨒∯100112∇⊂⋱⪩⨒∯33312⨪↰⇹(⪩⨒∯112220⊍⩺⋍⪩⨒∯1121221)⪁(⩪∧⨌⪩⨒∯230323)⩺⪪(⊆⋠⪩⨒∯303332))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":465191,"operation_count":14,"complexity_ratio":33227.92857142857,"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":2267,"base":4},"right_expr":{"type":"numeric_atoms","value":2317,"base":4}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1718,"base":4},"right_expr":{"type":"numeric_atoms","value":8014,"base":4}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1249,"base":4}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1046,"base":4},"right_expr":{"type":"numeric_atoms","value":1014,"base":4}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1448,"base":4},"right_expr":{"type":"numeric_atoms","value":5737,"base":4}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2875,"base":4}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":3326,"base":4}}}}},"used_operators":["F4yD0voBRQ","sdazOOVcIp","XXmTpEpWTW","2DlMacCsIx","oraRL2iQuh","6o9Blt3TJ6","KvvgdUaMHJ","I7sXao9hZE","tmPS8pqC7x","nhYeJWJD5X","OXDGMFPWZM","uvdQJvN4PV","6iOiAJX1F8","EBhcHTkKd8"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Uaa54Peajs","KYD54nUTWz","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rJVOvQCfKK","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"⪩⨒∯-10010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2267","layer":4},{"info":"number node, value=2317","layer":4},{"info":"compute binary expreesion, left_input=2267, right_input=2317, 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 = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":2},{"info":"number node, value=1718","layer":4},{"info":"number node, value=8014","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=8014, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1685","layer":3},{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1685, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=4338","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=4338, 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=-8806","layer":1},{"info":"number node, value=1046","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1014, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1546","layer":3},{"info":"number node, value=1448","layer":4},{"info":"number node, value=5737","layer":4},{"info":"compute binary expreesion, left_input=1448, right_input=5737, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1546, 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=1546","layer":2},{"info":"number node, value=2875","layer":4},{"info":"compute unary expreesion, input=2875, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=28750","layer":3},{"info":"number node, value=3326","layer":4},{"info":"compute unary expreesion, input=3326, 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=28750, right_input=0, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-460898","layer":2},{"info":"compute binary expreesion, left_input=1546, right_input=-460898, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8806, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯203123⩨⪩⨒∯210031)⩘⨬⇊)⪨≂(⪩⨒∯122312⫰⋱⪩⨒∯1331032)⪡(⪩⨒∯103201⇆⨓≜))⇣⩺⋵(⪩⨒∯100112∇⊂⋱⪩⨒∯33312⨪↰⇹(⪩⨒∯112220⊍⩺⋍⪩⨒∯1121221)⪁(⩪∧⨌⪩⨒∯230323)⩺⪪(⊆⋠⪩⨒∯303332))=⪩⨒∯-10010","reverse_text":"⪩⨒∯-10010=(((⪩⨒∯203123⩨⪩⨒∯210031)⩘⨬⇊)⪨≂(⪩⨒∯122312⫰⋱⪩⨒∯1331032)⪡(⪩⨒∯103201⇆⨓≜))⇣⩺⋵(⪩⨒∯100112∇⊂⋱⪩⨒∯33312⨪↰⇹(⪩⨒∯112220⊍⩺⋍⪩⨒∯1121221)⪁(⩪∧⨌⪩⨒∯230323)⩺⪪(⊆⋠⪩⨒∯303332))","cot":[{"info":"⪩⨒∯203123⩨⪩⨒∯210031=⪩⨒∯-3","layer":3},{"info":"⪩⨒∯-3⩘⨬⇊=⪩⨒∯-1310","layer":2},{"info":"⪩⨒∯122312⫰⋱⪩⨒∯1331032=⪩⨒∯-122111","layer":3},{"info":"⪩⨒∯103201⇆⨓≜=NaN","layer":3},{"info":"⪩⨒∯-122111⪡NaN=⪩⨒∯1003302","layer":2},{"info":"⪩⨒∯-1310⪨≂⪩⨒∯1003302=⪩⨒∯-2021212","layer":1},{"info":"⪩⨒∯100112∇⊂⋱⪩⨒∯33312=⪩⨒∯120022","layer":3},{"info":"⪩⨒∯112220⊍⩺⋍⪩⨒∯1121221=NaN","layer":3},{"info":"⪩⨒∯120022⨪↰⇹NaN=⪩⨒∯120022","layer":2},{"info":"⩪∧⨌⪩⨒∯230323=⪩⨒∯13001032","layer":3},{"info":"⊆⋠⪩⨒∯303332=⪩⨒∯0","layer":3},{"info":"⪩⨒∯13001032⩺⪪⪩⨒∯0=⪩⨒∯-1300201202","layer":2},{"info":"⪩⨒∯120022⪁⪩⨒∯-1300201202=NaN","layer":1},{"info":"⪩⨒∯-2021212⇣⩺⋵NaN=⪩⨒∯-10010","layer":0}]}
{"id":190,"expression_no_base_symbol":"(($5185$⨳⩥⨓$2834$)⊋($8021$⨳⩥⨓$6476$)∕⩚($2196$≥⨤⩑$1607$)⨽∌($5230$⊋≦⊧$3123$))⊋≦⊧((⨙⪌$2738$)⋓($6096$≃$3488$)-(⇐(⩦⊞$7691$)))","expression":"((⪩⨒∯1101001⨳⩥⨓⪩⨒∯230102)⊋(⪩⨒∯1331111⨳⩥⨓⪩⨒∯1211030)∕⩚(⪩⨒∯202110≥⨤⩑⪩⨒∯121013)⨽∌(⪩⨒∯1101232⊋≦⊧⪩⨒∯300303))⊋≦⊧((⨙⪌⪩⨒∯222302)⋓(⪩⨒∯1133100≃⪩⨒∯312200)-(⇐(⩦⊞⪩⨒∯1320023)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1245,"operation_count":14,"complexity_ratio":88.92857142857143,"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":5185,"base":4},"right_expr":{"type":"numeric_atoms","value":2834,"base":4}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":8021,"base":4},"right_expr":{"type":"numeric_atoms","value":6476,"base":4}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2196,"base":4},"right_expr":{"type":"numeric_atoms","value":1607,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5230,"base":4},"right_expr":{"type":"numeric_atoms","value":3123,"base":4}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":2738,"base":4}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":6096,"base":4},"right_expr":{"type":"numeric_atoms","value":3488,"base":4}}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":7691,"base":4}}}}},"used_operators":["oRDoc9rAEX","z9ffQ9n5Zr","W4tP9CfskL","nCS4ZIUYfx","9samAPKr6k","gJLn6v0xnP","rysDP5nf3Z","T2fj7uvVaJ","vEGLkm4Z2k","YbVcJGFEVW","nmZMaaE0Q9","u7fv1HBiaC"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"⪩⨒∯3000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5185","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=5185, right_input=2834, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2351","layer":3},{"info":"number node, value=8021","layer":4},{"info":"number node, value=6476","layer":4},{"info":"compute binary expreesion, left_input=8021, right_input=6476, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1545","layer":3},{"info":"compute binary expreesion, left_input=-2351, right_input=-1545, 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=-36354","layer":2},{"info":"number node, value=2196","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=2196, right_input=1607, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=5230","layer":4},{"info":"number node, value=3123","layer":4},{"info":"compute binary expreesion, left_input=5230, right_input=3123, 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=-6006","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-6006, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-36354, right_input=0, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=2738","layer":4},{"info":"compute unary expreesion, input=2738, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=6096","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=6096, right_input=3488, 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=-24424","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-24424, 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=7691","layer":4},{"info":"compute unary expreesion, input=7691, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-7418","layer":3},{"info":"compute unary expreesion, input=-7418, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-5016","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-5016, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5016","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=5016, 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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1101001⨳⩥⨓⪩⨒∯230102)⊋(⪩⨒∯1331111⨳⩥⨓⪩⨒∯1211030)∕⩚(⪩⨒∯202110≥⨤⩑⪩⨒∯121013)⨽∌(⪩⨒∯1101232⊋≦⊧⪩⨒∯300303))⊋≦⊧((⨙⪌⪩⨒∯222302)⋓(⪩⨒∯1133100≃⪩⨒∯312200)-(⇐(⩦⊞⪩⨒∯1320023)))=⪩⨒∯3000","reverse_text":"⪩⨒∯3000=((⪩⨒∯1101001⨳⩥⨓⪩⨒∯230102)⊋(⪩⨒∯1331111⨳⩥⨓⪩⨒∯1211030)∕⩚(⪩⨒∯202110≥⨤⩑⪩⨒∯121013)⨽∌(⪩⨒∯1101232⊋≦⊧⪩⨒∯300303))⊋≦⊧((⨙⪌⪩⨒∯222302)⋓(⪩⨒∯1133100≃⪩⨒∯312200)-(⇐(⩦⊞⪩⨒∯1320023)))","cot":[{"info":"⪩⨒∯1101001⨳⩥⨓⪩⨒∯230102=⪩⨒∯-210233","layer":3},{"info":"⪩⨒∯1331111⨳⩥⨓⪩⨒∯1211030=⪩⨒∯-120021","layer":3},{"info":"⪩⨒∯-210233⊋⪩⨒∯-120021=⪩⨒∯-20320002","layer":2},{"info":"⪩⨒∯202110≥⨤⩑⪩⨒∯121013=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯1101232⊋≦⊧⪩⨒∯300303=⪩⨒∯-1131312","layer":3},{"info":"⪩⨒∯103102⨽∌⪩⨒∯-1131312=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-20320002∕⩚⪩⨒∯0=⪩⨒∯-13213","layer":1},{"info":"⨙⪌⪩⨒∯222302=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯1133100≃⪩⨒∯312200=⪩⨒∯-11331220","layer":3},{"info":"⪩⨒∯31210⋓⪩⨒∯-11331220=⪩⨒∯0","layer":2},{"info":"⩦⊞⪩⨒∯1320023=⪩⨒∯-1303322","layer":3},{"info":"⇐⪩⨒∯-1303322=⪩⨒∯-1032120","layer":2},{"info":"⪩⨒∯0-⪩⨒∯-1032120=⪩⨒∯1032120","layer":1},{"info":"⪩⨒∯-13213⊋≦⊧⪩⨒∯1032120=⪩⨒∯3000","layer":0}]}
{"id":191,"expression_no_base_symbol":"(($1711$≓∲$3878$)⋕⪉⪜($7399$⪥⨬⪅))⊮⊟↴((⋼∭⪍$1303$)↼⊘⨖($1155$⫢⨠$3749$))⩚⊴⇥(($1839$↱$1992$↸$3816$⫸⊐$2553$)≓∲($2163$≝⊰⇂)≭$1332$↹⊜$2525$)","expression":"((⪩⨒∯122233≓∲⪩⨒∯330212)⋕⪉⪜(⪩⨒∯1303213⪥⨬⪅))⊮⊟↴((⋼∭⪍⪩⨒∯110113)↼⊘⨖(⪩⨒∯102003⫢⨠⪩⨒∯322211))⩚⊴⇥((⪩⨒∯130233↱⪩⨒∯133020↸⪩⨒∯323220⫸⊐⪩⨒∯213321)≓∲(⪩⨒∯201303≝⊰⇂)≭⪩⨒∯110310↹⊜⪩⨒∯213131)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7529,"operation_count":15,"complexity_ratio":501.93333333333334,"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":1711,"base":4},"right_expr":{"type":"numeric_atoms","value":3878,"base":4}},"right_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"numeric_atoms","value":7399,"base":4}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1303,"base":4}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1155,"base":4},"right_expr":{"type":"numeric_atoms","value":3749,"base":4}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1839,"base":4},"right_expr":{"type":"numeric_atoms","value":1992,"base":4}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3816,"base":4},"right_expr":{"type":"numeric_atoms","value":2553,"base":4}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"numeric_atoms","value":2163,"base":4}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1332,"base":4},"right_expr":{"type":"numeric_atoms","value":2525,"base":4}}}}},"used_operators":["NTOWxs364D","QDVgd2eftb","z6LnFrNh4i","s1XTVnmDOJ","zNRQejTB5A","bPywburJMS","DbCuESL50I","xlXykHWxX1","1eCjFl0mb9","SR5kFfdi6N","mqXw5SEYmG","rxpJgHHUmx","htSmYCowi5","9bazX3JMtO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","9FxExcQeMw","DlLNRPXxWL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⪩⨒∯-2330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1711","layer":4},{"info":"number node, value=3878","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=3878, 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=17893","layer":3},{"info":"number node, value=7399","layer":4},{"info":"compute unary expreesion, input=7399, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=17893, right_input=-473, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=1303","layer":4},{"info":"compute unary expreesion, input=1303, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-3472","layer":3},{"info":"number node, value=1155","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=3749, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-3472, right_input=160, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=98","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=98, 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=1839","layer":4},{"info":"number node, value=1992","layer":4},{"info":"compute binary expreesion, left_input=1839, right_input=1992, 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=-5454","layer":3},{"info":"number node, value=3816","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=3816, right_input=2553, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10087","layer":3},{"info":"compute binary expreesion, left_input=-5454, right_input=10087, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-5454","layer":2},{"info":"number node, value=2163","layer":4},{"info":"compute unary expreesion, input=2163, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=2525, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-7532","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7532, 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=-5454, 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=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-188","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯122233≓∲⪩⨒∯330212)⋕⪉⪜(⪩⨒∯1303213⪥⨬⪅))⊮⊟↴((⋼∭⪍⪩⨒∯110113)↼⊘⨖(⪩⨒∯102003⫢⨠⪩⨒∯322211))⩚⊴⇥((⪩⨒∯130233↱⪩⨒∯133020↸⪩⨒∯323220⫸⊐⪩⨒∯213321)≓∲(⪩⨒∯201303≝⊰⇂)≭⪩⨒∯110310↹⊜⪩⨒∯213131)=⪩⨒∯-2330","reverse_text":"⪩⨒∯-2330=((⪩⨒∯122233≓∲⪩⨒∯330212)⋕⪉⪜(⪩⨒∯1303213⪥⨬⪅))⊮⊟↴((⋼∭⪍⪩⨒∯110113)↼⊘⨖(⪩⨒∯102003⫢⨠⪩⨒∯322211))⩚⊴⇥((⪩⨒∯130233↱⪩⨒∯133020↸⪩⨒∯323220⫸⊐⪩⨒∯213321)≓∲(⪩⨒∯201303≝⊰⇂)≭⪩⨒∯110310↹⊜⪩⨒∯213131)","cot":[{"info":"⪩⨒∯122233≓∲⪩⨒∯330212=⪩⨒∯10113211","layer":3},{"info":"⪩⨒∯1303213⪥⨬⪅=⪩⨒∯-13121","layer":3},{"info":"⪩⨒∯10113211⋕⪉⪜⪩⨒∯-13121=⪩⨒∯223302","layer":2},{"info":"⋼∭⪍⪩⨒∯110113=⪩⨒∯-312100","layer":3},{"info":"⪩⨒∯102003⫢⨠⪩⨒∯322211=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-312100↼⊘⨖⪩⨒∯2200=⪩⨒∯1202","layer":2},{"info":"⪩⨒∯223302⊮⊟↴⪩⨒∯1202=⪩⨒∯0","layer":1},{"info":"⪩⨒∯130233↱⪩⨒∯133020=⪩⨒∯-1111032","layer":3},{"info":"⪩⨒∯323220⫸⊐⪩⨒∯213321=⪩⨒∯2131213","layer":3},{"info":"⪩⨒∯-1111032↸⪩⨒∯2131213=⪩⨒∯-1111032","layer":2},{"info":"⪩⨒∯201303≝⊰⇂=⪩⨒∯0","layer":3},{"info":"⪩⨒∯110310↹⊜⪩⨒∯213131=⪩⨒∯-1311230","layer":3},{"info":"⪩⨒∯0≭⪩⨒∯-1311230=NaN","layer":2},{"info":"⪩⨒∯-1111032≓∲NaN=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯0⩚⊴⇥⪩⨒∯1003=⪩⨒∯-2330","layer":0}]}
{"id":192,"expression_no_base_symbol":"($2375$↤⩊$1130$≬⋮$1133$≁$1316$)⪬(($1730$⫻⋑⊟)≀⫉$6418$⪎↠$6138$)∷(⩰$2667$)⨜⨶($5900$↢$1103$)⪡($4247$⨥⫆$3980$⪕$4147$⨿$1270$)","expression":"(⪩⨒∯211013↤⩊⪩⨒∯101222≬⋮⪩⨒∯101231≁⪩⨒∯110210)⪬((⪩⨒∯123002⫻⋑⊟)≀⫉⪩⨒∯1210102⪎↠⪩⨒∯1133322)∷(⩰⪩⨒∯221223)⨜⨶(⪩⨒∯1130030↢⪩⨒∯101033)⪡(⪩⨒∯1002113⨥⫆⪩⨒∯332030⪕⪩⨒∯1000303⨿⪩⨒∯103312)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1288,"operation_count":15,"complexity_ratio":85.86666666666666,"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":2375,"base":4},"right_expr":{"type":"numeric_atoms","value":1130,"base":4}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1133,"base":4},"right_expr":{"type":"numeric_atoms","value":1316,"base":4}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1730,"base":4}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":6418,"base":4},"right_expr":{"type":"numeric_atoms","value":6138,"base":4}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":2667,"base":4}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":5900,"base":4},"right_expr":{"type":"numeric_atoms","value":1103,"base":4}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4247,"base":4},"right_expr":{"type":"numeric_atoms","value":3980,"base":4}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":4147,"base":4},"right_expr":{"type":"numeric_atoms","value":1270,"base":4}}}}},"used_operators":["D3AQDKkPcf","Ez1Nq5fNfI","kbkesczE7y","13rbtpv6ld","8N2wDY1A35","oZj3VtZNQx","o575Zjdmzy","3tVxb0NHM4","oraRL2iQuh","HiPekx5b7W","WkeUrDK8WX","WR6HLWljOP","umQnsF7QlU","yXekIHxTD4","abYXlopdE0"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⪩⨒∯11121220","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2375","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=1130, 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=1133","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=1316, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=18383","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18383, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1730","layer":4},{"info":"compute unary expreesion, input=1730, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2950","layer":3},{"info":"number node, value=6418","layer":4},{"info":"number node, value=6138","layer":4},{"info":"compute binary expreesion, left_input=6418, right_input=6138, 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=-2950, right_input=160, 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=868, right_input=2822, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=2667","layer":4},{"info":"compute unary expreesion, input=2667, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-3667","layer":3},{"info":"number node, value=5900","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=5900, right_input=1103, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=5416","layer":3},{"info":"compute binary expreesion, left_input=-3667, right_input=5416, 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=-10576","layer":2},{"info":"number node, value=4247","layer":4},{"info":"number node, value=3980","layer":4},{"info":"compute binary expreesion, left_input=4247, right_input=3980, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=7836","layer":3},{"info":"number node, value=4147","layer":4},{"info":"number node, value=1270","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=1270, 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=7836, right_input=-319, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=16892","layer":2},{"info":"compute binary expreesion, left_input=-10576, right_input=16892, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=22120","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=22120, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=22120","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯211013↤⩊⪩⨒∯101222≬⋮⪩⨒∯101231≁⪩⨒∯110210)⪬((⪩⨒∯123002⫻⋑⊟)≀⫉⪩⨒∯1210102⪎↠⪩⨒∯1133322)∷(⩰⪩⨒∯221223)⨜⨶(⪩⨒∯1130030↢⪩⨒∯101033)⪡(⪩⨒∯1002113⨥⫆⪩⨒∯332030⪕⪩⨒∯1000303⨿⪩⨒∯103312)=⪩⨒∯11121220","reverse_text":"⪩⨒∯11121220=(⪩⨒∯211013↤⩊⪩⨒∯101222≬⋮⪩⨒∯101231≁⪩⨒∯110210)⪬((⪩⨒∯123002⫻⋑⊟)≀⫉⪩⨒∯1210102⪎↠⪩⨒∯1133322)∷(⩰⪩⨒∯221223)⨜⨶(⪩⨒∯1130030↢⪩⨒∯101033)⪡(⪩⨒∯1002113⨥⫆⪩⨒∯332030⪕⪩⨒∯1000303⨿⪩⨒∯103312)","cot":[{"info":"⪩⨒∯211013↤⩊⪩⨒∯101222=NaN","layer":3},{"info":"⪩⨒∯101231≁⪩⨒∯110210=⪩⨒∯10133033","layer":3},{"info":"NaN≬⋮⪩⨒∯10133033=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯123002⫻⋑⊟=⪩⨒∯-232012","layer":3},{"info":"⪩⨒∯1210102⪎↠⪩⨒∯1133322=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-232012≀⫉⪩⨒∯2200=⪩⨒∯230012","layer":2},{"info":"⪩⨒∯31210⪬⪩⨒∯230012=⪩⨒∯103102","layer":1},{"info":"⩰⪩⨒∯221223=⪩⨒∯-321103","layer":3},{"info":"⪩⨒∯1130030↢⪩⨒∯101033=⪩⨒∯1110220","layer":3},{"info":"⪩⨒∯-321103⨜⨶⪩⨒∯1110220=⪩⨒∯-2211100","layer":2},{"info":"⪩⨒∯1002113⨥⫆⪩⨒∯332030=⪩⨒∯1322130","layer":3},{"info":"⪩⨒∯1000303⨿⪩⨒∯103312=⪩⨒∯-10333","layer":3},{"info":"⪩⨒∯1322130⪕⪩⨒∯-10333=⪩⨒∯10013330","layer":2},{"info":"⪩⨒∯-2211100⪡⪩⨒∯10013330=⪩⨒∯11121220","layer":1},{"info":"⪩⨒∯103102∷⪩⨒∯11121220=⪩⨒∯11121220","layer":0}]}
{"id":193,"expression_no_base_symbol":"⊢≑≆(∐⩳⋚(⇨($1266$∷$4496$)))","expression":"⊢≑≆(∐⩳⋚(⇨(⪩⨒∯103302∷⪩⨒∯1012100)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":149,"operation_count":4,"complexity_ratio":37.25,"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":1266,"base":4},"right_expr":{"type":"numeric_atoms","value":4496,"base":4}}}}},"used_operators":["27wFxooxGf","SL6IHkK8vl","G9tJMlZ94a","D3AQDKkPcf"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","k8jYdgA6NY","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⪩⨒∯31210131","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1266","layer":4},{"info":"number node, value=4496","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=4496, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4496","layer":3},{"info":"compute unary expreesion, input=4496, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"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":1},{"info":"compute unary expreesion, input=-27694, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=55581","layer":0}],"base":4,"result_base":4,"text":"⊢≑≆(∐⩳⋚(⇨(⪩⨒∯103302∷⪩⨒∯1012100)))=⪩⨒∯31210131","reverse_text":"⪩⨒∯31210131=⊢≑≆(∐⩳⋚(⇨(⪩⨒∯103302∷⪩⨒∯1012100)))","cot":[{"info":"⪩⨒∯103302∷⪩⨒∯1012100=⪩⨒∯1012100","layer":3},{"info":"⇨⪩⨒∯1012100=⪩⨒∯0","layer":2},{"info":"∐⩳⋚⪩⨒∯0=⪩⨒∯-12300232","layer":1},{"info":"⊢≑≆⪩⨒∯-12300232=⪩⨒∯31210131","layer":0}]}
{"id":194,"expression_no_base_symbol":"(($5420$⩧⪆$3318$)⫒⫫($1031$⨸⪁$3158$)↱($2690$⩒⫫$2988$)→⨶⪴(↡$5587$))⫠↝⫳","expression":"((⪩⨒∯1110230⩧⪆⪩⨒∯303312)⫒⫫(⪩⨒∯100013⨸⪁⪩⨒∯301112)↱(⪩⨒∯222002⩒⫫⪩⨒∯232230)→⨶⪴(↡⪩⨒∯1113103))⫠↝⫳","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":141,"operation_count":8,"complexity_ratio":17.625,"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":5420,"base":4},"right_expr":{"type":"numeric_atoms","value":3318,"base":4}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1031,"base":4},"right_expr":{"type":"numeric_atoms","value":3158,"base":4}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2690,"base":4},"right_expr":{"type":"numeric_atoms","value":2988,"base":4}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":5587,"base":4}}}}},"used_operators":["8n5YIzOsVS","SR5kFfdi6N","6Ko8hGgeMq","Ikt5ks8PT7","g55IO6H4Gj","bF6eod5Gvf","KFSx94NKJn","MXaNJeIAZ3"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"⪩⨒∯-2101130102101","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5420","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=5420, right_input=3318, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3318","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=3158","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=3158, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8378","layer":3},{"info":"compute binary expreesion, left_input=-3318, right_input=8378, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=-130","layer":2},{"info":"number node, value=2690","layer":4},{"info":"number node, value=2988","layer":4},{"info":"compute binary expreesion, left_input=2690, right_input=2988, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2388","layer":3},{"info":"number node, value=5587","layer":4},{"info":"compute unary expreesion, input=5587, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=50283","layer":3},{"info":"compute binary expreesion, left_input=2388, right_input=50283, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-150849","layer":2},{"info":"compute binary expreesion, left_input=-130, right_input=-150849, 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=-1191480","layer":1},{"info":"compute unary expreesion, input=-1191480, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=-38126737","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1110230⩧⪆⪩⨒∯303312)⫒⫫(⪩⨒∯100013⨸⪁⪩⨒∯301112)↱(⪩⨒∯222002⩒⫫⪩⨒∯232230)→⨶⪴(↡⪩⨒∯1113103))⫠↝⫳=⪩⨒∯-2101130102101","reverse_text":"⪩⨒∯-2101130102101=((⪩⨒∯1110230⩧⪆⪩⨒∯303312)⫒⫫(⪩⨒∯100013⨸⪁⪩⨒∯301112)↱(⪩⨒∯222002⩒⫫⪩⨒∯232230)→⨶⪴(↡⪩⨒∯1113103))⫠↝⫳","cot":[{"info":"⪩⨒∯1110230⩧⪆⪩⨒∯303312=⪩⨒∯-303312","layer":3},{"info":"⪩⨒∯100013⨸⪁⪩⨒∯301112=⪩⨒∯2002322","layer":3},{"info":"⪩⨒∯-303312⫒⫫⪩⨒∯2002322=⪩⨒∯-2002","layer":2},{"info":"⪩⨒∯222002⩒⫫⪩⨒∯232230=⪩⨒∯211110","layer":3},{"info":"↡⪩⨒∯1113103=⪩⨒∯30101223","layer":3},{"info":"⪩⨒∯211110→⨶⪴⪩⨒∯30101223=⪩⨒∯-210311001","layer":2},{"info":"⪩⨒∯-2002↱⪩⨒∯-210311001=⪩⨒∯-10202320320","layer":1},{"info":"⪩⨒∯-10202320320⫠↝⫳=⪩⨒∯-2101130102101","layer":0}]}
{"id":195,"expression_no_base_symbol":"(⊄⩳↩$1413$⨑⩅≇$8927$∌↝($8575$⨔≚≋$1324$))⨽($3680$⫣⪄⊒$1189$∷$6119$⨔≚≋$6489$)↳≱($2627$⫞⩸⩒$4970$)↤⩊($2027$↠)","expression":"(⊄⩳↩⪩⨒∯112011⨑⩅≇⪩⨒∯2023133∌↝(⪩⨒∯2011333⨔≚≋⪩⨒∯110230))⨽(⪩⨒∯321200⫣⪄⊒⪩⨒∯102211∷⪩⨒∯1133213⨔≚≋⪩⨒∯1211121)↳≱(⪩⨒∯221003⫞⩸⩒⪩⨒∯1031222)↤⩊(⪩⨒∯133223↠)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":98255,"operation_count":12,"complexity_ratio":8187.916666666667,"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":1413,"base":4},"right_expr":{"type":"numeric_atoms","value":8927,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":8575,"base":4},"right_expr":{"type":"numeric_atoms","value":1324,"base":4}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3680,"base":4},"right_expr":{"type":"numeric_atoms","value":1189,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":6119,"base":4},"right_expr":{"type":"numeric_atoms","value":6489,"base":4}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":2627,"base":4},"right_expr":{"type":"numeric_atoms","value":4970,"base":4}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":2027,"base":4}}}}},"used_operators":["8HhzD0ZcuI","8w2t5hMYqp","9Isq31Ruls","h92wMvzauj","Z57zeUYC9z","JwTKLfZU96","D3AQDKkPcf","RabNbG55vr","13rbtpv6ld","XGcMNugi78","LBdsKIvxzf"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","NTOWxs364D","7j4O788W3g","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb"],"result":"-Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1413","layer":4},{"info":"number node, value=8927","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=8927, 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=-4239","layer":3},{"info":"number node, value=8575","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=8575, right_input=1324, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-4239, right_input=9872, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-29616","layer":2},{"info":"compute unary expreesion, input=-29616, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=88848","layer":1},{"info":"number node, value=3680","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=3680, right_input=1189, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-286","layer":3},{"info":"number node, value=6119","layer":4},{"info":"number node, value=6489","layer":4},{"info":"compute binary expreesion, left_input=6119, right_input=6489, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-286, right_input=9872, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=9872","layer":2},{"info":"number node, value=2627","layer":4},{"info":"number node, value=4970","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=4970, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4970","layer":3},{"info":"number node, value=2027","layer":4},{"info":"compute unary expreesion, input=2027, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=4970, right_input=-447, 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=9872, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=88848, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":4,"result_base":4,"text":"(⊄⩳↩⪩⨒∯112011⨑⩅≇⪩⨒∯2023133∌↝(⪩⨒∯2011333⨔≚≋⪩⨒∯110230))⨽(⪩⨒∯321200⫣⪄⊒⪩⨒∯102211∷⪩⨒∯1133213⨔≚≋⪩⨒∯1211121)↳≱(⪩⨒∯221003⫞⩸⩒⪩⨒∯1031222)↤⩊(⪩⨒∯133223↠)=-Inf","reverse_text":"-Inf=(⊄⩳↩⪩⨒∯112011⨑⩅≇⪩⨒∯2023133∌↝(⪩⨒∯2011333⨔≚≋⪩⨒∯110230))⨽(⪩⨒∯321200⫣⪄⊒⪩⨒∯102211∷⪩⨒∯1133213⨔≚≋⪩⨒∯1211121)↳≱(⪩⨒∯221003⫞⩸⩒⪩⨒∯1031222)↤⩊(⪩⨒∯133223↠)","cot":[{"info":"⪩⨒∯112011⨑⩅≇⪩⨒∯2023133=⪩⨒∯-1002033","layer":3},{"info":"⪩⨒∯2011333⨔≚≋⪩⨒∯110230=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯-1002033∌↝⪩⨒∯2122100=⪩⨒∯-13032300","layer":2},{"info":"⊄⩳↩⪩⨒∯-13032300=⪩⨒∯111230100","layer":1},{"info":"⪩⨒∯321200⫣⪄⊒⪩⨒∯102211=⪩⨒∯-10132","layer":3},{"info":"⪩⨒∯1133213⨔≚≋⪩⨒∯1211121=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯-10132∷⪩⨒∯2122100=⪩⨒∯2122100","layer":2},{"info":"⪩⨒∯221003⫞⩸⩒⪩⨒∯1031222=⪩⨒∯1031222","layer":3},{"info":"⪩⨒∯133223↠=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1031222↤⩊⪩⨒∯-12333=NaN","layer":2},{"info":"⪩⨒∯2122100↳≱NaN=⪩⨒∯0","layer":1},{"info":"⪩⨒∯111230100⨽⪩⨒∯0=-Inf","layer":0}]}
{"id":196,"expression_no_base_symbol":"($1727$-$2887$)⊉≛↸($1576$⫿)∕⩚($2981$≬⇓$2395$)⫁⪎($3559$⫥∨⫟$3503$)∟","expression":"(⪩⨒∯122333-⪩⨒∯231013)⊉≛↸(⪩⨒∯120220⫿)∕⩚(⪩⨒∯232211≬⇓⪩⨒∯211123)⫁⪎(⪩⨒∯313213⫥∨⫟⪩⨒∯312233)∟","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1692,"operation_count":8,"complexity_ratio":211.5,"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":1727,"base":4},"right_expr":{"type":"numeric_atoms","value":2887,"base":4}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1576,"base":4}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2981,"base":4},"right_expr":{"type":"numeric_atoms","value":2395,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3559,"base":4},"right_expr":{"type":"numeric_atoms","value":3503,"base":4}}}}},"used_operators":["hTbEZDJLEm","z9ffQ9n5Zr","DZ8iAZOCBD","rysDP5nf3Z","9tKT6PmtkH","xRrnTEsQ6j","jWTQ2TZYIH","KYD54nUTWz"],"dependent_operators":["KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⪩⨒∯1301","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":4},{"info":"number node, value=2887","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=2887, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1160","layer":3},{"info":"number node, value=1576","layer":4},{"info":"compute unary expreesion, input=1576, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1576","layer":3},{"info":"compute binary expreesion, left_input=-1160, right_input=1576, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1576","layer":2},{"info":"number node, value=2981","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=2395, 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=3559","layer":4},{"info":"number node, value=3503","layer":4},{"info":"compute binary expreesion, left_input=3559, right_input=3503, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-22, 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=-1576, 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 = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯122333-⪩⨒∯231013)⊉≛↸(⪩⨒∯120220⫿)∕⩚(⪩⨒∯232211≬⇓⪩⨒∯211123)⫁⪎(⪩⨒∯313213⫥∨⫟⪩⨒∯312233)∟=⪩⨒∯1301","reverse_text":"⪩⨒∯1301=(⪩⨒∯122333-⪩⨒∯231013)⊉≛↸(⪩⨒∯120220⫿)∕⩚(⪩⨒∯232211≬⇓⪩⨒∯211123)⫁⪎(⪩⨒∯313213⫥∨⫟⪩⨒∯312233)∟","cot":[{"info":"⪩⨒∯122333-⪩⨒∯231013=⪩⨒∯-102020","layer":3},{"info":"⪩⨒∯120220⫿=⪩⨒∯120220","layer":3},{"info":"⪩⨒∯-102020⊉≛↸⪩⨒∯120220=⪩⨒∯-120220","layer":2},{"info":"⪩⨒∯232211≬⇓⪩⨒∯211123=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯313213⫥∨⫟⪩⨒∯312233=NaN","layer":3},{"info":"⪩⨒∯-112⫁⪎NaN=NaN","layer":2},{"info":"⪩⨒∯-120220∕⩚NaN=⪩⨒∯-13213","layer":1},{"info":"⪩⨒∯-13213∟=⪩⨒∯1301","layer":0}]}
{"id":197,"expression_no_base_symbol":"⊤⊝($2723$⨚$1875$∸)∺≝⩲(⇖($1551$*$1399$))","expression":"⊤⊝(⪩⨒∯222203⨚⪩⨒∯131103∸)∺≝⩲(⇖(⪩⨒∯120033*⪩⨒∯111313))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1607,"operation_count":6,"complexity_ratio":267.8333333333333,"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":2723,"base":4},"right_expr":{"type":"numeric_atoms","value":1875,"base":4}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1551,"base":4},"right_expr":{"type":"numeric_atoms","value":1399,"base":4}}}}},"used_operators":["rXAclfmB4M","KPf6cnQVty","o20kRiQErp","nREPSIbpBE","tfWHHpNKUN","9HNa5Wba9A"],"dependent_operators":["sdazOOVcIp","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","tmPS8pqC7x","BjRHVeLaeN","12rbrZMWeM","2DQ55sFlQl","W4YGzv6Whe"],"result":"⪩⨒∯-33102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2723","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=2723, right_input=1875, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-1120","layer":3},{"info":"compute unary expreesion, input=-1120, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=1551","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1551, right_input=1399, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2169849","layer":3},{"info":"compute unary expreesion, input=2169849, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=160, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-978","layer":0}],"base":4,"result_base":4,"text":"⊤⊝(⪩⨒∯222203⨚⪩⨒∯131103∸)∺≝⩲(⇖(⪩⨒∯120033*⪩⨒∯111313))=⪩⨒∯-33102","reverse_text":"⪩⨒∯-33102=⊤⊝(⪩⨒∯222203⨚⪩⨒∯131103∸)∺≝⩲(⇖(⪩⨒∯120033*⪩⨒∯111313))","cot":[{"info":"⪩⨒∯222203⨚⪩⨒∯131103=⪩⨒∯-101200","layer":3},{"info":"⪩⨒∯-101200∸=⪩⨒∯2301","layer":2},{"info":"⪩⨒∯120033*⪩⨒∯111313=⪩⨒∯20101233321","layer":3},{"info":"⇖⪩⨒∯20101233321=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯2301∺≝⩲⪩⨒∯2200=⪩⨒∯2200","layer":1},{"info":"⊤⊝⪩⨒∯2200=⪩⨒∯-33102","layer":0}]}
{"id":198,"expression_no_base_symbol":"((⇈$6340$)⊅)⇄($1011$∼$2647$)↳∿⪆$4223$⋹⋡⊁$1042$⪒($4933$⊲⩕⊾$1524$⪥⨬⪅)⨔≚≋($1171$∊∟⩊$2250$⩱)","expression":"((⇈⪩⨒∯1203010)⊅)⇄(⪩⨒∯33303∼⪩⨒∯221113)↳∿⪆⪩⨒∯1001333⋹⋡⊁⪩⨒∯100102⪒(⪩⨒∯1031011⊲⩕⊾⪩⨒∯113310⪥⨬⪅)⨔≚≋(⪩⨒∯102103∊∟⩊⪩⨒∯203022⩱)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":66727,"operation_count":12,"complexity_ratio":5560.583333333333,"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":6340,"base":4}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1011,"base":4},"right_expr":{"type":"numeric_atoms","value":2647,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4223,"base":4},"right_expr":{"type":"numeric_atoms","value":1042,"base":4}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪥⨬⪅","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4933,"base":4},"right_expr":{"type":"numeric_atoms","value":1524,"base":4}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1171,"base":4},"right_expr":{"type":"numeric_atoms","value":2250,"base":4}}}}},"used_operators":["f6k1SAg4EE","3EYGwJThht","7p6YLioM7f","SLLxy00UIr","Cw4SuJJGHO","DyGG3AbaNP","As8RqfVLgs","Z57zeUYC9z","zNRQejTB5A","DmTXOeWf9t","uyq1hVkAcj","ddLRYrp01A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","d7ASUq0ydm","Uaa54Peajs","3EYGwJThht","y4ImoPnbV5","JwTKLfZU96","rJVOvQCfKK","uWAJUKEvyW","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU"],"result":"⪩⨒∯-130001320","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6340","layer":4},{"info":"compute unary expreesion, input=6340, 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 = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":2},{"info":"number node, value=1011","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=2647, 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=4223","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=4223, right_input=1042, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1792","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1792, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16947, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=4933","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=4933, right_input=1524, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-90798","layer":3},{"info":"compute unary expreesion, input=-90798, op_id = zNRQejTB5A, unary_op_definition = 'a⪥⨬⪅ = { (((a⨎1)⊹∫⫚(a⇄a))⫯⪬∳((a∽a)↳≱(∂a))) }', output=-473","layer":2},{"info":"number node, value=1171","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=1171, right_input=2250, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2250","layer":3},{"info":"compute unary expreesion, input=2250, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-13750","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=-13750, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=114808","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=114808, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-114808","layer":0}],"base":4,"result_base":4,"text":"((⇈⪩⨒∯1203010)⊅)⇄(⪩⨒∯33303∼⪩⨒∯221113)↳∿⪆⪩⨒∯1001333⋹⋡⊁⪩⨒∯100102⪒(⪩⨒∯1031011⊲⩕⊾⪩⨒∯113310⪥⨬⪅)⨔≚≋(⪩⨒∯102103∊∟⩊⪩⨒∯203022⩱)=⪩⨒∯-130001320","reverse_text":"⪩⨒∯-130001320=((⇈⪩⨒∯1203010)⊅)⇄(⪩⨒∯33303∼⪩⨒∯221113)↳∿⪆⪩⨒∯1001333⋹⋡⊁⪩⨒∯100102⪒(⪩⨒∯1031011⊲⩕⊾⪩⨒∯113310⪥⨬⪅)⨔≚≋(⪩⨒∯102103∊∟⩊⪩⨒∯203022⩱)","cot":[{"info":"⇈⪩⨒∯1203010=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯-12333⊅=⪩⨒∯10020303","layer":2},{"info":"⪩⨒∯33303∼⪩⨒∯221113=NaN","layer":3},{"info":"⪩⨒∯1001333⋹⋡⊁⪩⨒∯100102=⪩⨒∯130000","layer":3},{"info":"NaN↳∿⪆⪩⨒∯130000=NaN","layer":2},{"info":"⪩⨒∯10020303⇄NaN=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1031011⊲⩕⊾⪩⨒∯113310=⪩⨒∯-112022232","layer":3},{"info":"⪩⨒∯-112022232⪥⨬⪅=⪩⨒∯-13121","layer":2},{"info":"⪩⨒∯102103∊∟⩊⪩⨒∯203022=⪩⨒∯203022","layer":3},{"info":"⪩⨒∯203022⩱=⪩⨒∯-3112312","layer":2},{"info":"⪩⨒∯-13121⨔≚≋⪩⨒∯-3112312=⪩⨒∯130001320","layer":1},{"info":"⪩⨒∯0⪒⪩⨒∯130001320=⪩⨒∯-130001320","layer":0}]}
{"id":199,"expression_no_base_symbol":"((≉$1575$)⪍↜⋙(⪸$3270$))⇤(≸($4366$⪣⫩))⨚⇆((≸≮($1155$⪡$1661$))⪁$1077$⪉⨛$5752$⊾⪯⋞(↑$1646$))","expression":"((≉⪩⨒∯120213)⪍↜⋙(⪸⪩⨒∯303012))⇤(≸(⪩⨒∯1010032⪣⫩))⨚⇆((≸≮(⪩⨒∯102003⪡⪩⨒∯121331))⪁⪩⨒∯100311⪉⨛⪩⨒∯1121320⊾⪯⋞(↑⪩⨒∯121232))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10212734,"operation_count":13,"complexity_ratio":785594.9230769231,"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":1575,"base":4}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":3270,"base":4}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":4366,"base":4}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1155,"base":4},"right_expr":{"type":"numeric_atoms","value":1661,"base":4}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1077,"base":4},"right_expr":{"type":"numeric_atoms","value":5752,"base":4}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":1646,"base":4}}}}},"used_operators":["lwHaAYXP2r","YSKBFp38Pu","L05ObWFQCd","e1ybzncUwg","86A5ENbKR9","eOf03JbCpp","iuk5sVOGFA","I7sXao9hZE","AljMvE3RRm","oraRL2iQuh","HK0tfVPux8","EWw2JM7wp4","tR7O2zTn5j"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"-Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1575","layer":4},{"info":"compute unary expreesion, input=1575, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2106","layer":3},{"info":"number node, value=3270","layer":4},{"info":"compute unary expreesion, input=3270, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-55381","layer":3},{"info":"compute binary expreesion, left_input=2106, right_input=-55381, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=114974","layer":2},{"info":"number node, value=4366","layer":4},{"info":"compute unary expreesion, input=4366, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=13065","layer":3},{"info":"compute unary expreesion, input=13065, 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 binary expreesion, left_input=114974, right_input=58, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-572312","layer":1},{"info":"number node, value=1155","layer":4},{"info":"number node, value=1661","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=1661, 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 = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=166","layer":2},{"info":"number node, value=1077","layer":4},{"info":"number node, value=5752","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=5752, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-2306","layer":3},{"info":"number node, value=1646","layer":4},{"info":"compute unary expreesion, input=1646, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-2306, right_input=192, 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=166, right_input=-818, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-572312, 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":4,"result_base":4,"text":"((≉⪩⨒∯120213)⪍↜⋙(⪸⪩⨒∯303012))⇤(≸(⪩⨒∯1010032⪣⫩))⨚⇆((≸≮(⪩⨒∯102003⪡⪩⨒∯121331))⪁⪩⨒∯100311⪉⨛⪩⨒∯1121320⊾⪯⋞(↑⪩⨒∯121232))=-Inf","reverse_text":"-Inf=((≉⪩⨒∯120213)⪍↜⋙(⪸⪩⨒∯303012))⇤(≸(⪩⨒∯1010032⪣⫩))⨚⇆((≸≮(⪩⨒∯102003⪡⪩⨒∯121331))⪁⪩⨒∯100311⪉⨛⪩⨒∯1121320⊾⪯⋞(↑⪩⨒∯121232))","cot":[{"info":"≉⪩⨒∯120213=⪩⨒∯200322","layer":3},{"info":"⪸⪩⨒∯303012=⪩⨒∯-31201111","layer":3},{"info":"⪩⨒∯200322⪍↜⋙⪩⨒∯-31201111=⪩⨒∯130010132","layer":2},{"info":"⪩⨒∯1010032⪣⫩=⪩⨒∯3030021","layer":3},{"info":"≸⪩⨒∯3030021=⪩⨒∯322","layer":2},{"info":"⪩⨒∯130010132⇤⪩⨒∯322=⪩⨒∯-2023232120","layer":1},{"info":"⪩⨒∯102003⪡⪩⨒∯121331=⪩⨒∯1223","layer":3},{"info":"≸≮⪩⨒∯1223=⪩⨒∯2212","layer":2},{"info":"⪩⨒∯100311⪉⨛⪩⨒∯1121320=⪩⨒∯-210002","layer":3},{"info":"↑⪩⨒∯121232=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯-210002⊾⪯⋞⪩⨒∯3000=⪩⨒∯-30302","layer":2},{"info":"⪩⨒∯2212⪁⪩⨒∯-30302=NaN","layer":1},{"info":"⪩⨒∯-2023232120⨚⇆NaN=-Inf","layer":0}]}
{"id":200,"expression_no_base_symbol":"(⇠($1557$⇩)↳∿⪆(⫖→$3688$))∙⊟(⫯((⩦⩻⨪$1931$)⫞⩸⩒($1242$⪚$1206$)))","expression":"(⇠(⪩⨒∯120111⇩)↳∿⪆(⫖→⪩⨒∯321220))∙⊟(⫯((⩦⩻⨪⪩⨒∯132023)⫞⩸⩒(⪩⨒∯103122⪚⪩⨒∯102312)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6389,"operation_count":9,"complexity_ratio":709.8888888888889,"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":1557,"base":4}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":3688,"base":4}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1931,"base":4}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":1242,"base":4},"right_expr":{"type":"numeric_atoms","value":1206,"base":4}}}}},"used_operators":["SxTAKzQCrw","18saOjeKKm","Cw4SuJJGHO","vRio1gEz1j","U4ylXWHChL","H6BK1Evt7c","XGcMNugi78","2td37pGCOC","HrjLwUk87U"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1557","layer":4},{"info":"compute unary expreesion, input=1557, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=1650","layer":3},{"info":"number node, value=3688","layer":4},{"info":"compute unary expreesion, input=3688, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=177, 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 = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":1},{"info":"number node, value=1931","layer":4},{"info":"compute unary expreesion, input=1931, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1931","layer":3},{"info":"number node, value=1242","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=1206, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-284","layer":3},{"info":"compute binary expreesion, left_input=1931, right_input=-284, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1931","layer":2},{"info":"compute unary expreesion, input=1931, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-66314","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-66314, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇠(⪩⨒∯120111⇩)↳∿⪆(⫖→⪩⨒∯321220))∙⊟(⫯((⩦⩻⨪⪩⨒∯132023)⫞⩸⩒(⪩⨒∯103122⪚⪩⨒∯102312)))=NaN","reverse_text":"NaN=(⇠(⪩⨒∯120111⇩)↳∿⪆(⫖→⪩⨒∯321220))∙⊟(⫯((⩦⩻⨪⪩⨒∯132023)⫞⩸⩒(⪩⨒∯103122⪚⪩⨒∯102312)))","cot":[{"info":"⪩⨒∯120111⇩=⪩⨒∯121302","layer":3},{"info":"⫖→⪩⨒∯321220=⪩⨒∯2301","layer":3},{"info":"⪩⨒∯121302↳∿⪆⪩⨒∯2301=NaN","layer":2},{"info":"⇠NaN=NaN","layer":1},{"info":"⩦⩻⨪⪩⨒∯132023=⪩⨒∯132023","layer":3},{"info":"⪩⨒∯103122⪚⪩⨒∯102312=⪩⨒∯-10130","layer":3},{"info":"⪩⨒∯132023⫞⩸⩒⪩⨒∯-10130=⪩⨒∯132023","layer":2},{"info":"⫯⪩⨒∯132023=⪩⨒∯-100030022","layer":1},{"info":"NaN∙⊟⪩⨒∯-100030022=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"(($1205$↰)⫦⪉$1764$⇣⩺⋵$1728$)⊋(($1041$⨝⩣∺)⫸⇳$1472$≄⊠$3662$)⩢≌","expression":"((⪩⨒∯102311↰)⫦⪉⪩⨒∯123210⇣⩺⋵⪩⨒∯123000)⊋((⪩⨒∯100101⨝⩣∺)⫸⇳⪩⨒∯113000≄⊠⪩⨒∯321032)⩢≌","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":462,"operation_count":8,"complexity_ratio":57.75,"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":1205,"base":4}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1764,"base":4},"right_expr":{"type":"numeric_atoms","value":1728,"base":4}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⨝⩣∺","unary_expr":{"type":"numeric_atoms","value":1041,"base":4}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1472,"base":4},"right_expr":{"type":"numeric_atoms","value":3662,"base":4}}}}},"used_operators":["D617RFjZIq","W4tP9CfskL","wscyQdcy20","bl5wxAcryP","F4yD0voBRQ","gx7XJ7hdpj","ancx8kZcWl","vXNesLlMH1"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","nCS4ZIUYfx","Z2TMIBDE3Q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","DZ8iAZOCBD","t8gj7n24qd","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⪩⨒∯1301","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1205","layer":4},{"info":"compute unary expreesion, input=1205, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=1104","layer":3},{"info":"number node, value=1764","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=1728, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=1104, right_input=-260, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2692","layer":2},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=-2082","layer":3},{"info":"number node, value=1472","layer":4},{"info":"number node, value=3662","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=3662, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=63260","layer":3},{"info":"compute binary expreesion, left_input=-2082, right_input=63260, 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=2692, 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":1},{"info":"compute unary expreesion, input=-5454, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯102311↰)⫦⪉⪩⨒∯123210⇣⩺⋵⪩⨒∯123000)⊋((⪩⨒∯100101⨝⩣∺)⫸⇳⪩⨒∯113000≄⊠⪩⨒∯321032)⩢≌=⪩⨒∯1301","reverse_text":"⪩⨒∯1301=((⪩⨒∯102311↰)⫦⪉⪩⨒∯123210⇣⩺⋵⪩⨒∯123000)⊋((⪩⨒∯100101⨝⩣∺)⫸⇳⪩⨒∯113000≄⊠⪩⨒∯321032)⩢≌","cot":[{"info":"⪩⨒∯102311↰=⪩⨒∯101100","layer":3},{"info":"⪩⨒∯123210⇣⩺⋵⪩⨒∯123000=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯101100⫦⪉⪩⨒∯-10010=⪩⨒∯222010","layer":2},{"info":"⪩⨒∯100101⨝⩣∺=⪩⨒∯-200202","layer":3},{"info":"⪩⨒∯113000≄⊠⪩⨒∯321032=⪩⨒∯33130130","layer":3},{"info":"⪩⨒∯-200202⫸⇳⪩⨒∯33130130=⪩⨒∯0","layer":2},{"info":"⪩⨒∯222010⊋⪩⨒∯0=⪩⨒∯-1111032","layer":1},{"info":"⪩⨒∯-1111032⩢≌=⪩⨒∯1301","layer":0}]}
{"id":202,"expression_no_base_symbol":"≸≮(⇙⪊($4212$↼⊘⨖$1197$))⪬(⇠($6920$∽$1103$))","expression":"≸≮(⇙⪊(⪩⨒∯1001310↼⊘⨖⪩⨒∯102231))⪬(⇠(⪩⨒∯1230020∽⪩⨒∯101033))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10517,"operation_count":6,"complexity_ratio":1752.8333333333333,"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":4212,"base":4},"right_expr":{"type":"numeric_atoms","value":1197,"base":4}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":6920,"base":4},"right_expr":{"type":"numeric_atoms","value":1103,"base":4}}}}},"used_operators":["AljMvE3RRm","Ez1Nq5fNfI","pB6Fcnrjim","bPywburJMS","18saOjeKKm","y4ImoPnbV5"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4212","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=4212, right_input=1197, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2172","layer":3},{"info":"compute unary expreesion, input=2172, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=6920","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=6920, right_input=1103, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-37731","layer":3},{"info":"compute unary expreesion, input=-37731, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, 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 = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"≸≮(⇙⪊(⪩⨒∯1001310↼⊘⨖⪩⨒∯102231))⪬(⇠(⪩⨒∯1230020∽⪩⨒∯101033))=NaN","reverse_text":"NaN=≸≮(⇙⪊(⪩⨒∯1001310↼⊘⨖⪩⨒∯102231))⪬(⇠(⪩⨒∯1230020∽⪩⨒∯101033))","cot":[{"info":"⪩⨒∯1001310↼⊘⨖⪩⨒∯102231=⪩⨒∯201330","layer":3},{"info":"⇙⪊⪩⨒∯201330=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1230020∽⪩⨒∯101033=⪩⨒∯-21031203","layer":3},{"info":"⇠⪩⨒∯-21031203=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⪬⪩⨒∯0=⪩⨒∯103102","layer":1},{"info":"≸≮⪩⨒∯103102=NaN","layer":0}]}
{"id":203,"expression_no_base_symbol":"(↩(⩦⊞$3781$)⇍⊗$1695$⩁⩘$1085$)≧⫂∧(⩒∊(⇋↷($3133$⪉⨛$2682$)))","expression":"(↩(⩦⊞⪩⨒∯323011)⇍⊗⪩⨒∯122133⩁⩘⪩⨒∯100331)≧⫂∧(⩒∊(⇋↷(⪩⨒∯300331⪉⨛⪩⨒∯221322)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":125,"operation_count":8,"complexity_ratio":15.625,"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":3781,"base":4}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1695,"base":4},"right_expr":{"type":"numeric_atoms","value":1085,"base":4}}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3133,"base":4},"right_expr":{"type":"numeric_atoms","value":2682,"base":4}}}}},"used_operators":["Ph9nP6C5qx","jLgFTUHLKL","5uvYHDjeKN","u7fv1HBiaC","gub5Cegaqo","qazvmhNBbN","SWo3A1KBJH","EWw2JM7wp4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","DpFCA1CohY","IWmyXbctLI","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⪩⨒∯122301302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3781","layer":4},{"info":"compute unary expreesion, input=3781, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3508","layer":3},{"info":"number node, value=1695","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=1085, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=5288","layer":3},{"info":"compute binary expreesion, left_input=-3508, right_input=5288, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=3596","layer":1},{"info":"number node, value=3133","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=2682, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6932","layer":3},{"info":"compute unary expreesion, input=6932, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=55456","layer":2},{"info":"compute unary expreesion, input=55456, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=110155","layer":1},{"info":"compute binary expreesion, left_input=3596, right_input=110155, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=109682","layer":0}],"base":4,"result_base":4,"text":"(↩(⩦⊞⪩⨒∯323011)⇍⊗⪩⨒∯122133⩁⩘⪩⨒∯100331)≧⫂∧(⩒∊(⇋↷(⪩⨒∯300331⪉⨛⪩⨒∯221322)))=⪩⨒∯122301302","reverse_text":"⪩⨒∯122301302=(↩(⩦⊞⪩⨒∯323011)⇍⊗⪩⨒∯122133⩁⩘⪩⨒∯100331)≧⫂∧(⩒∊(⇋↷(⪩⨒∯300331⪉⨛⪩⨒∯221322)))","cot":[{"info":"⩦⊞⪩⨒∯323011=⪩⨒∯-312310","layer":3},{"info":"⪩⨒∯122133⩁⩘⪩⨒∯100331=⪩⨒∯1102220","layer":3},{"info":"⪩⨒∯-312310⇍⊗⪩⨒∯1102220=⪩⨒∯-3310","layer":2},{"info":"↩⪩⨒∯-3310=⪩⨒∯320030","layer":1},{"info":"⪩⨒∯300331⪉⨛⪩⨒∯221322=⪩⨒∯1230110","layer":3},{"info":"⇋↷⪩⨒∯1230110=⪩⨒∯31202200","layer":2},{"info":"⩒∊⪩⨒∯31202200=⪩⨒∯122321023","layer":1},{"info":"⪩⨒∯320030≧⫂∧⪩⨒∯122321023=⪩⨒∯122301302","layer":0}]}
{"id":204,"expression_no_base_symbol":"($4832$≁↽≥$1926$↹⊜$1136$↳≱$1723$⫥∨⫟($1054$⋥⋵⩄$3304$)∊∟⩊$5661$⫣⪄⊒$1744$)⊢(($1224$⩧⪆$1272$)∴($2907$⨔≚≋$1452$))↳≱($2073$⩁⩘$3746$⇄$1266$⩌⋺$1285$)","expression":"(⪩⨒∯1023200≁↽≥⪩⨒∯132012↹⊜⪩⨒∯101300↳≱⪩⨒∯122323⫥∨⫟(⪩⨒∯100132⋥⋵⩄⪩⨒∯303220)∊∟⩊⪩⨒∯1120131⫣⪄⊒⪩⨒∯123100)⊢((⪩⨒∯103020⩧⪆⪩⨒∯103320)∴(⪩⨒∯231123⨔≚≋⪩⨒∯112230))↳≱(⪩⨒∯200121⩁⩘⪩⨒∯322202⇄⪩⨒∯103302⩌⋺⪩⨒∯110011)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":522,"operation_count":15,"complexity_ratio":34.8,"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":4832,"base":4},"right_expr":{"type":"numeric_atoms","value":1926,"base":4}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1136,"base":4},"right_expr":{"type":"numeric_atoms","value":1723,"base":4}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1054,"base":4},"right_expr":{"type":"numeric_atoms","value":3304,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":5661,"base":4},"right_expr":{"type":"numeric_atoms","value":1744,"base":4}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1224,"base":4},"right_expr":{"type":"numeric_atoms","value":1272,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2907,"base":4},"right_expr":{"type":"numeric_atoms","value":1452,"base":4}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2073,"base":4},"right_expr":{"type":"numeric_atoms","value":3746,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1266,"base":4},"right_expr":{"type":"numeric_atoms","value":1285,"base":4}}}}},"used_operators":["5twsqlHp2o","KYD54nUTWz","9bazX3JMtO","ncHt1X6cMc","JwTKLfZU96","ddLRYrp01A","7t3wd0Fuz7","RabNbG55vr","hrf7POJlIJ","Ikt5ks8PT7","Z57zeUYC9z","3EYGwJThht","gub5Cegaqo","g7Hmc5v1ko"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","oWn0xqSxBt","3Oe9XWJUTD","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eewbuw0ToL","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4832","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=4832, right_input=1926, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=68808","layer":3},{"info":"number node, value=1136","layer":4},{"info":"number node, value=1723","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=1723, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=68808, right_input=0, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=137520","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=3304, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=5661","layer":4},{"info":"number node, value=1744","layer":4},{"info":"compute binary expreesion, left_input=5661, right_input=1744, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-10946","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-10946, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-10946","layer":2},{"info":"compute binary expreesion, left_input=137520, right_input=-10946, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1224","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=1272, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1272","layer":3},{"info":"number node, value=2907","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=2907, right_input=1452, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-1272, right_input=9872, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-896","layer":2},{"info":"number node, value=2073","layer":4},{"info":"number node, value=3746","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=3746, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=15932","layer":3},{"info":"number node, value=1266","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=1285, 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=-2672","layer":3},{"info":"compute binary expreesion, left_input=15932, right_input=-2672, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-896, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1023200≁↽≥⪩⨒∯132012↹⊜⪩⨒∯101300↳≱⪩⨒∯122323⫥∨⫟(⪩⨒∯100132⋥⋵⩄⪩⨒∯303220)∊∟⩊⪩⨒∯1120131⫣⪄⊒⪩⨒∯123100)⊢((⪩⨒∯103020⩧⪆⪩⨒∯103320)∴(⪩⨒∯231123⨔≚≋⪩⨒∯112230))↳≱(⪩⨒∯200121⩁⩘⪩⨒∯322202⇄⪩⨒∯103302⩌⋺⪩⨒∯110011)=NaN","reverse_text":"NaN=(⪩⨒∯1023200≁↽≥⪩⨒∯132012↹⊜⪩⨒∯101300↳≱⪩⨒∯122323⫥∨⫟(⪩⨒∯100132⋥⋵⩄⪩⨒∯303220)∊∟⩊⪩⨒∯1120131⫣⪄⊒⪩⨒∯123100)⊢((⪩⨒∯103020⩧⪆⪩⨒∯103320)∴(⪩⨒∯231123⨔≚≋⪩⨒∯112230))↳≱(⪩⨒∯200121⩁⩘⪩⨒∯322202⇄⪩⨒∯103302⩌⋺⪩⨒∯110011)","cot":[{"info":"⪩⨒∯1023200≁↽≥⪩⨒∯132012=⪩⨒∯100303020","layer":3},{"info":"⪩⨒∯101300↳≱⪩⨒∯122323=⪩⨒∯0","layer":3},{"info":"⪩⨒∯100303020↹⊜⪩⨒∯0=⪩⨒∯201210300","layer":2},{"info":"⪩⨒∯100132⋥⋵⩄⪩⨒∯303220=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯1120131⫣⪄⊒⪩⨒∯123100=⪩⨒∯-2223002","layer":3},{"info":"⪩⨒∯1301∊∟⩊⪩⨒∯-2223002=⪩⨒∯-2223002","layer":2},{"info":"⪩⨒∯201210300⫥∨⫟⪩⨒∯-2223002=NaN","layer":1},{"info":"⪩⨒∯103020⩧⪆⪩⨒∯103320=⪩⨒∯-103320","layer":3},{"info":"⪩⨒∯231123⨔≚≋⪩⨒∯112230=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯-103320∴⪩⨒∯2122100=⪩⨒∯-32000","layer":2},{"info":"⪩⨒∯200121⩁⩘⪩⨒∯322202=⪩⨒∯3320330","layer":3},{"info":"⪩⨒∯103302⩌⋺⪩⨒∯110011=⪩⨒∯-221300","layer":3},{"info":"⪩⨒∯3320330⇄⪩⨒∯-221300=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-32000↳≱⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"NaN⊢⪩⨒∯0=NaN","layer":0}]}
{"id":205,"expression_no_base_symbol":"(⇨(($3390$⨽$6636$)⪨⊡($1105$⩺⋐⫨)))⪕(⫇(($2627$⋕⪉⪜$4611$)⪚⩙≫))","expression":"(⇨((⪩⨒∯310332⨽⪩⨒∯1213230)⪨⊡(⪩⨒∯101101⩺⋐⫨)))⪕(⫇((⪩⨒∯221003⋕⪉⪜⪩⨒∯1020003)⪚⩙≫))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4039,"operation_count":8,"complexity_ratio":504.875,"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":3390,"base":4},"right_expr":{"type":"numeric_atoms","value":6636,"base":4}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":1105,"base":4}}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2627,"base":4},"right_expr":{"type":"numeric_atoms","value":4611,"base":4}}}}},"used_operators":["umQnsF7QlU","G9tJMlZ94a","kuIXHzHcAH","8HhzD0ZcuI","yS9ePUuUdn","YjI8oCXuph","4n53wtyJvv","z6LnFrNh4i"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","k8jYdgA6NY","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⪩⨒∯32213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3390","layer":4},{"info":"number node, value=6636","layer":4},{"info":"compute binary expreesion, left_input=3390, right_input=6636, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34494894","layer":3},{"info":"number node, value=1105","layer":4},{"info":"compute unary expreesion, input=1105, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-34494894, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":2},{"info":"compute unary expreesion, input=789, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"number node, value=2627","layer":4},{"info":"number node, value=4611","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=4611, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":3},{"info":"compute unary expreesion, input=204, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', 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 binary expreesion, left_input=0, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":4,"result_base":4,"text":"(⇨((⪩⨒∯310332⨽⪩⨒∯1213230)⪨⊡(⪩⨒∯101101⩺⋐⫨)))⪕(⫇((⪩⨒∯221003⋕⪉⪜⪩⨒∯1020003)⪚⩙≫))=⪩⨒∯32213","reverse_text":"⪩⨒∯32213=(⇨((⪩⨒∯310332⨽⪩⨒∯1213230)⪨⊡(⪩⨒∯101101⩺⋐⫨)))⪕(⫇((⪩⨒∯221003⋕⪉⪜⪩⨒∯1020003)⪚⩙≫))","cot":[{"info":"⪩⨒∯310332⨽⪩⨒∯1213230=⪩⨒∯-2003211212232","layer":3},{"info":"⪩⨒∯101101⩺⋐⫨=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2003211212232⪨⊡⪩⨒∯0=⪩⨒∯30111","layer":2},{"info":"⇨⪩⨒∯30111=⪩⨒∯0","layer":1},{"info":"⪩⨒∯221003⋕⪉⪜⪩⨒∯1020003=⪩⨒∯3030","layer":3},{"info":"⪩⨒∯3030⪚⩙≫=NaN","layer":2},{"info":"⫇NaN=NaN","layer":1},{"info":"⪩⨒∯0⪕NaN=⪩⨒∯32213","layer":0}]}
{"id":206,"expression_no_base_symbol":"(($1052$⫞⩸⩒$4712$⩱)⪉⨛($1382$⨽$2840$)⫢⨠$1370$∋$2126$)⨔≚≋((($5376$∛≔)∕⩚$2415$⇣⩺⋵$2193$)⇄(⨴⫝(≘$1237$)))","expression":"((⪩⨒∯100130⫞⩸⩒⪩⨒∯1021220⩱)⪉⨛(⪩⨒∯111212⨽⪩⨒∯230120)⫢⨠⪩⨒∯111122∋⪩⨒∯201032)⨔≚≋(((⪩⨒∯1110000∛≔)∕⩚⪩⨒∯211233⇣⩺⋵⪩⨒∯202101)⇄(⨴⫝(≘⪩⨒∯103111)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43958,"operation_count":13,"complexity_ratio":3381.3846153846152,"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":1052,"base":4},"right_expr":{"type":"numeric_atoms","value":4712,"base":4}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1382,"base":4},"right_expr":{"type":"numeric_atoms","value":2840,"base":4}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1370,"base":4},"right_expr":{"type":"numeric_atoms","value":2126,"base":4}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":5376,"base":4}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2415,"base":4},"right_expr":{"type":"numeric_atoms","value":2193,"base":4}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":1237,"base":4}}}}},"used_operators":["Z57zeUYC9z","EWw2JM7wp4","uyq1hVkAcj","XGcMNugi78","xlXykHWxX1","8HhzD0ZcuI","ukq6epAj5P","3EYGwJThht","z9ffQ9n5Zr","mGnSCrte3L","F4yD0voBRQ","SVb2v531z1","tcjXMdvYtA"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"⪩⨒∯133200203322120","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1052","layer":4},{"info":"number node, value=4712","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=4712, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4712","layer":3},{"info":"compute unary expreesion, input=4712, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-28522","layer":2},{"info":"number node, value=1382","layer":4},{"info":"number node, value=2840","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=2840, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5736978","layer":3},{"info":"number node, value=1370","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=1370, right_input=2126, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4422640","layer":3},{"info":"compute binary expreesion, left_input=-5736978, right_input=4422640, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=10513434","layer":2},{"info":"compute binary expreesion, left_input=-28522, right_input=10513434, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-31625653","layer":1},{"info":"number node, value=5376","layer":4},{"info":"compute unary expreesion, input=5376, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"number node, value=2415","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=2415, right_input=2193, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-inf, right_input=-260, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=2728369","layer":3},{"info":"compute unary expreesion, input=2728369, 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":"compute binary expreesion, left_input=-487, right_input=2828198, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-2827714","layer":1},{"info":"compute binary expreesion, left_input=-31625653, right_input=-2827714, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=528629400","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯100130⫞⩸⩒⪩⨒∯1021220⩱)⪉⨛(⪩⨒∯111212⨽⪩⨒∯230120)⫢⨠⪩⨒∯111122∋⪩⨒∯201032)⨔≚≋(((⪩⨒∯1110000∛≔)∕⩚⪩⨒∯211233⇣⩺⋵⪩⨒∯202101)⇄(⨴⫝(≘⪩⨒∯103111)))=⪩⨒∯133200203322120","reverse_text":"⪩⨒∯133200203322120=((⪩⨒∯100130⫞⩸⩒⪩⨒∯1021220⩱)⪉⨛(⪩⨒∯111212⨽⪩⨒∯230120)⫢⨠⪩⨒∯111122∋⪩⨒∯201032)⨔≚≋(((⪩⨒∯1110000∛≔)∕⩚⪩⨒∯211233⇣⩺⋵⪩⨒∯202101)⇄(⨴⫝(≘⪩⨒∯103111)))","cot":[{"info":"⪩⨒∯100130⫞⩸⩒⪩⨒∯1021220=⪩⨒∯1021220","layer":3},{"info":"⪩⨒∯1021220⩱=⪩⨒∯-12331222","layer":2},{"info":"⪩⨒∯111212⨽⪩⨒∯230120=⪩⨒∯-111320220102","layer":3},{"info":"⪩⨒∯111122∋⪩⨒∯201032=⪩⨒∯100313233300","layer":3},{"info":"⪩⨒∯-111320220102⫢⨠⪩⨒∯100313233300=⪩⨒∯220012300122","layer":2},{"info":"⪩⨒∯-12331222⪉⨛⪩⨒∯220012300122=⪩⨒∯-1320221012311","layer":1},{"info":"⪩⨒∯1110000∛≔=-Inf","layer":3},{"info":"⪩⨒∯211233⇣⩺⋵⪩⨒∯202101=⪩⨒∯-10010","layer":3},{"info":"-Inf∕⩚⪩⨒∯-10010=⪩⨒∯-13213","layer":2},{"info":"≘⪩⨒∯103111=⪩⨒∯22122012301","layer":3},{"info":"⨴⫝⪩⨒∯22122012301=⪩⨒∯22302132212","layer":2},{"info":"⪩⨒∯-13213⇄⪩⨒∯22302132212=⪩⨒∯-22302113002","layer":1},{"info":"⪩⨒∯-1320221012311⨔≚≋⪩⨒∯-22302113002=⪩⨒∯133200203322120","layer":0}]}
{"id":207,"expression_no_base_symbol":"((⨦⪝($2865$⫣⪄⊒$2948$))⇷($6944$-$1941$)⨔⇊($5474$⪚⩙≫))⊴(⩦⊞(⊗(≤/$2718$)))","expression":"((⨦⪝(⪩⨒∯230301⫣⪄⊒⪩⨒∯232010))⇷(⪩⨒∯1230200-⪩⨒∯132111)⨔⇊(⪩⨒∯1111202⪚⩙≫))⊴(⩦⊞(⊗(≤/⪩⨒∯222132)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":30686,"operation_count":10,"complexity_ratio":3068.6,"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":2865,"base":4},"right_expr":{"type":"numeric_atoms","value":2948,"base":4}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6944,"base":4},"right_expr":{"type":"numeric_atoms","value":1941,"base":4}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"numeric_atoms","value":5474,"base":4}}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2718,"base":4}}}}},"used_operators":["Nsiff2A1zJ","mp7IySMOzn","SUjycxNXIR","RabNbG55vr","JclMnS0uGI","rysDP5nf3Z","4n53wtyJvv","u7fv1HBiaC","RhiyfpczSx","eLAdDNolq6"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2865","layer":4},{"info":"number node, value=2948","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=2948, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-12470","layer":3},{"info":"compute unary expreesion, input=-12470, 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=6944","layer":4},{"info":"number node, value=1941","layer":4},{"info":"compute binary expreesion, left_input=6944, right_input=1941, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5003","layer":3},{"info":"number node, value=5474","layer":4},{"info":"compute unary expreesion, input=5474, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5003, 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":"compute binary expreesion, left_input=-1884, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2718","layer":4},{"info":"compute unary expreesion, input=2718, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2234","layer":3},{"info":"compute unary expreesion, input=-2234, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=4468","layer":2},{"info":"compute unary expreesion, input=4468, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-4195","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4195, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⨦⪝(⪩⨒∯230301⫣⪄⊒⪩⨒∯232010))⇷(⪩⨒∯1230200-⪩⨒∯132111)⨔⇊(⪩⨒∯1111202⪚⩙≫))⊴(⩦⊞(⊗(≤/⪩⨒∯222132)))=NaN","reverse_text":"NaN=((⨦⪝(⪩⨒∯230301⫣⪄⊒⪩⨒∯232010))⇷(⪩⨒∯1230200-⪩⨒∯132111)⨔⇊(⪩⨒∯1111202⪚⩙≫))⊴(⩦⊞(⊗(≤/⪩⨒∯222132)))","cot":[{"info":"⪩⨒∯230301⫣⪄⊒⪩⨒∯232010=⪩⨒∯-3002312","layer":3},{"info":"⨦⪝⪩⨒∯-3002312=⪩⨒∯-131130","layer":2},{"info":"⪩⨒∯1230200-⪩⨒∯132111=⪩⨒∯1032023","layer":3},{"info":"⪩⨒∯1111202⪚⩙≫=NaN","layer":3},{"info":"⪩⨒∯1032023⨔⇊NaN=NaN","layer":2},{"info":"⪩⨒∯-131130⇷NaN=NaN","layer":1},{"info":"≤/⪩⨒∯222132=⪩⨒∯-202322","layer":3},{"info":"⊗⪩⨒∯-202322=⪩⨒∯1011310","layer":2},{"info":"⩦⊞⪩⨒∯1011310=⪩⨒∯-1001203","layer":1},{"info":"NaN⊴⪩⨒∯-1001203=NaN","layer":0}]}
{"id":208,"expression_no_base_symbol":"⨑⩽⪐($2042$∺≝⩲$2097$⫳≱↱($3015$⫡⨏$2484$)⫔⩽⩺($1871$∓⋝$1028$)⨂≜($9312$⊔$3098$))","expression":"⨑⩽⪐(⪩⨒∯133322∺≝⩲⪩⨒∯200301⫳≱↱(⪩⨒∯233013⫡⨏⪩⨒∯212310)⫔⩽⩺(⪩⨒∯131033∓⋝⪩⨒∯100010)⨂≜(⪩⨒∯2101200⊔⪩⨒∯300122))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":516,"operation_count":8,"complexity_ratio":64.5,"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":2042,"base":4},"right_expr":{"type":"numeric_atoms","value":2097,"base":4}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3015,"base":4},"right_expr":{"type":"numeric_atoms","value":2484,"base":4}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1871,"base":4},"right_expr":{"type":"numeric_atoms","value":1028,"base":4}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":9312,"base":4},"right_expr":{"type":"numeric_atoms","value":3098,"base":4}}}}},"used_operators":["AF7qkfDlqP","i9eR4S00cU","ZvLB05nZmT","KPf6cnQVty","QMFrweE19q","k1SHOSEABc","PoHhknlbAi","E4l6HwMY31"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Tw270M8GLb","fu6greOZ01","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2042","layer":4},{"info":"number node, value=2097","layer":4},{"info":"compute binary expreesion, left_input=2042, right_input=2097, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=3015","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=2484, 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=20826","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=20826, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=1871","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=1871, right_input=1028, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=9312","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=9312, right_input=3098, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=31714","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=31714, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"⨑⩽⪐(⪩⨒∯133322∺≝⩲⪩⨒∯200301⫳≱↱(⪩⨒∯233013⫡⨏⪩⨒∯212310)⫔⩽⩺(⪩⨒∯131033∓⋝⪩⨒∯100010)⨂≜(⪩⨒∯2101200⊔⪩⨒∯300122))=NaN","reverse_text":"NaN=⨑⩽⪐(⪩⨒∯133322∺≝⩲⪩⨒∯200301⫳≱↱(⪩⨒∯233013⫡⨏⪩⨒∯212310)⫔⩽⩺(⪩⨒∯131033∓⋝⪩⨒∯100010)⨂≜(⪩⨒∯2101200⊔⪩⨒∯300122))","cot":[{"info":"⪩⨒∯133322∺≝⩲⪩⨒∯200301=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯233013⫡⨏⪩⨒∯212310=⪩⨒∯11011122","layer":3},{"info":"⪩⨒∯2200⫳≱↱⪩⨒∯11011122=⪩⨒∯-3030","layer":2},{"info":"⪩⨒∯131033∓⋝⪩⨒∯100010=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯2101200⊔⪩⨒∯300122=⪩⨒∯13233202","layer":3},{"info":"⪩⨒∯1003⨂≜⪩⨒∯13233202=NaN","layer":2},{"info":"⪩⨒∯-3030⫔⩽⩺NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"(⇨$1696$↢$2660$)⪔(∤$4381$⪕$3934$)-(⊀$1881$)⪟⇏($1962$⩣⫁∢$7036$)⩹($2076$⫦⪉$1049$)≠≀$1860$⨥⫆$6193$","expression":"(⇨⪩⨒∯122200↢⪩⨒∯221210)⪔(∤⪩⨒∯1010131⪕⪩⨒∯331132)-(⊀⪩⨒∯131121)⪟⇏(⪩⨒∯132222⩣⫁∢⪩⨒∯1231330)⩹(⪩⨒∯200130⫦⪉⪩⨒∯100121)≠≀⪩⨒∯131010⨥⫆⪩⨒∯1200301","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":334,"operation_count":13,"complexity_ratio":25.692307692307693,"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":1696,"base":4},"right_expr":{"type":"numeric_atoms","value":2660,"base":4}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":4381,"base":4},"right_expr":{"type":"numeric_atoms","value":3934,"base":4}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1881,"base":4}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1962,"base":4},"right_expr":{"type":"numeric_atoms","value":7036,"base":4}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2076,"base":4},"right_expr":{"type":"numeric_atoms","value":1049,"base":4}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1860,"base":4},"right_expr":{"type":"numeric_atoms","value":6193,"base":4}}}}},"used_operators":["rysDP5nf3Z","GjBEYRfMaF","G9tJMlZ94a","WR6HLWljOP","k2HlF1dBQh","umQnsF7QlU","2Wsdkap16l","GODebY97qR","oPMjh9089D","JDUIKTTSIa","IwW236VD4Y","wscyQdcy20","yXekIHxTD4"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","k8jYdgA6NY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1696","layer":4},{"info":"number node, value=2660","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=2660, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1212","layer":3},{"info":"compute unary expreesion, input=1212, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=4381","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=4381, right_input=3934, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=5729","layer":3},{"info":"compute unary expreesion, input=5729, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=1881","layer":4},{"info":"compute unary expreesion, input=1881, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=7262","layer":3},{"info":"number node, value=1962","layer":4},{"info":"number node, value=7036","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=7036, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3763","layer":3},{"info":"compute binary expreesion, left_input=7262, right_input=-3763, 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":"number node, value=2076","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=2076, right_input=1049, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=748","layer":3},{"info":"number node, value=1860","layer":4},{"info":"number node, value=6193","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=6193, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=12262","layer":3},{"info":"compute binary expreesion, left_input=748, right_input=12262, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1190","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-1190, 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=-1192","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1192, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇨⪩⨒∯122200↢⪩⨒∯221210)⪔(∤⪩⨒∯1010131⪕⪩⨒∯331132)-(⊀⪩⨒∯131121)⪟⇏(⪩⨒∯132222⩣⫁∢⪩⨒∯1231330)⩹(⪩⨒∯200130⫦⪉⪩⨒∯100121)≠≀⪩⨒∯131010⨥⫆⪩⨒∯1200301=NaN","reverse_text":"NaN=(⇨⪩⨒∯122200↢⪩⨒∯221210)⪔(∤⪩⨒∯1010131⪕⪩⨒∯331132)-(⊀⪩⨒∯131121)⪟⇏(⪩⨒∯132222⩣⫁∢⪩⨒∯1231330)⩹(⪩⨒∯200130⫦⪉⪩⨒∯100121)≠≀⪩⨒∯131010⨥⫆⪩⨒∯1200301","cot":[{"info":"⪩⨒∯122200↢⪩⨒∯221210=⪩⨒∯102330","layer":3},{"info":"⇨⪩⨒∯102330=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1010131⪕⪩⨒∯331132=⪩⨒∯1121201","layer":3},{"info":"∤⪩⨒∯1121201=⪩⨒∯21","layer":2},{"info":"⪩⨒∯0⪔⪩⨒∯21=NaN","layer":1},{"info":"⊀⪩⨒∯131121=⪩⨒∯1301132","layer":3},{"info":"⪩⨒∯132222⩣⫁∢⪩⨒∯1231330=⪩⨒∯-322303","layer":3},{"info":"⪩⨒∯1301132⪟⇏⪩⨒∯-322303=⪩⨒∯-1","layer":2},{"info":"⪩⨒∯200130⫦⪉⪩⨒∯100121=⪩⨒∯23230","layer":3},{"info":"⪩⨒∯131010⨥⫆⪩⨒∯1200301=⪩⨒∯2333212","layer":3},{"info":"⪩⨒∯23230≠≀⪩⨒∯2333212=⪩⨒∯-102212","layer":2},{"info":"⪩⨒∯-1⩹⪩⨒∯-102212=⪩⨒∯-102220","layer":1},{"info":"NaN-⪩⨒∯-102220=NaN","layer":0}]}
{"id":210,"expression_no_base_symbol":"($6383$↸$2911$∙∹∝$7176$⋝⋈⪟$2193$)≁↽≥((⇙⪊$5789$)⋷$2486$∖$3516$)⨫⇇↔((⫟($1256$≫≃))⫻⋑⊟)","expression":"(⪩⨒∯1203233↸⪩⨒∯231133∙∹∝⪩⨒∯1300020⋝⋈⪟⪩⨒∯202101)≁↽≥((⇙⪊⪩⨒∯1122131)⋷⪩⨒∯212312∖⪩⨒∯312330)⨫⇇↔((⫟(⪩⨒∯103220≫≃))⫻⋑⊟)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3498,"operation_count":11,"complexity_ratio":318.0,"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":6383,"base":4},"right_expr":{"type":"numeric_atoms","value":2911,"base":4}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7176,"base":4},"right_expr":{"type":"numeric_atoms","value":2193,"base":4}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":5789,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2486,"base":4},"right_expr":{"type":"numeric_atoms","value":3516,"base":4}}}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1256,"base":4}}}}},"used_operators":["LXhwmt4mBO","ncHt1X6cMc","HmxsFra2vL","1eCjFl0mb9","2DDjHMKMc0","23Mk6UjR3U","pB6Fcnrjim","tXD093vOjl","o575Zjdmzy","z4E1FaHLuy","X99M06cbEe"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","oWn0xqSxBt","3Oe9XWJUTD","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"⪩⨒∯-20033","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6383","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=6383, right_input=2911, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=6383","layer":3},{"info":"number node, value=7176","layer":4},{"info":"number node, value=2193","layer":4},{"info":"compute binary expreesion, left_input=7176, right_input=2193, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7176","layer":3},{"info":"compute binary expreesion, left_input=6383, right_input=7176, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=5789","layer":4},{"info":"compute unary expreesion, input=5789, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=2486","layer":4},{"info":"number node, value=3516","layer":4},{"info":"compute binary expreesion, left_input=2486, right_input=3516, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":1},{"info":"number node, value=1256","layer":4},{"info":"compute unary expreesion, input=1256, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3913","layer":3},{"info":"compute unary expreesion, input=3913, 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=-10832","layer":2},{"info":"compute unary expreesion, input=-10832, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=65502","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=65502, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1203233↸⪩⨒∯231133∙∹∝⪩⨒∯1300020⋝⋈⪟⪩⨒∯202101)≁↽≥((⇙⪊⪩⨒∯1122131)⋷⪩⨒∯212312∖⪩⨒∯312330)⨫⇇↔((⫟(⪩⨒∯103220≫≃))⫻⋑⊟)=⪩⨒∯-20033","reverse_text":"⪩⨒∯-20033=(⪩⨒∯1203233↸⪩⨒∯231133∙∹∝⪩⨒∯1300020⋝⋈⪟⪩⨒∯202101)≁↽≥((⇙⪊⪩⨒∯1122131)⋷⪩⨒∯212312∖⪩⨒∯312330)⨫⇇↔((⫟(⪩⨒∯103220≫≃))⫻⋑⊟)","cot":[{"info":"⪩⨒∯1203233↸⪩⨒∯231133=⪩⨒∯1203233","layer":3},{"info":"⪩⨒∯1300020⋝⋈⪟⪩⨒∯202101=⪩⨒∯1300020","layer":3},{"info":"⪩⨒∯1203233∙∹∝⪩⨒∯1300020=⪩⨒∯0","layer":2},{"info":"⇙⪊⪩⨒∯1122131=⪩⨒∯0","layer":3},{"info":"⪩⨒∯212312∖⪩⨒∯312330=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⋷⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0≁↽≥⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯103220≫≃=⪩⨒∯331021","layer":3},{"info":"⫟⪩⨒∯331021=⪩⨒∯-2221100","layer":2},{"info":"⪩⨒∯-2221100⫻⋑⊟=⪩⨒∯33333132","layer":1},{"info":"⪩⨒∯0⨫⇇↔⪩⨒∯33333132=⪩⨒∯-20033","layer":0}]}
{"id":211,"expression_no_base_symbol":"(($2675$⪹)⊋($2466$⋻⩜⩜$3816$))+⪬∐(($3325$⨵⪆$3216$)≹⇙⪍($1347$↬$1739$))⊬⨰((⊈$3693$)≚⊃≕($3696$⋅⇍$2148$))⪃⊛⇣($1298$⪭$1459$⊹∫⫚$2139$∌$1021$)","expression":"((⪩⨒∯221303⪹)⊋(⪩⨒∯212202⋻⩜⩜⪩⨒∯323220))+⪬∐((⪩⨒∯303331⨵⪆⪩⨒∯302100)≹⇙⪍(⪩⨒∯111003↬⪩⨒∯123023))⊬⨰((⊈⪩⨒∯321231)≚⊃≕(⪩⨒∯321300⋅⇍⪩⨒∯201210))⪃⊛⇣(⪩⨒∯110102⪭⪩⨒∯112303⊹∫⫚⪩⨒∯201123∌⪩⨒∯33331)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":64013,"operation_count":15,"complexity_ratio":4267.533333333334,"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":2675,"base":4}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2466,"base":4},"right_expr":{"type":"numeric_atoms","value":3816,"base":4}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3325,"base":4},"right_expr":{"type":"numeric_atoms","value":3216,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1347,"base":4},"right_expr":{"type":"numeric_atoms","value":1739,"base":4}}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3693,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3696,"base":4},"right_expr":{"type":"numeric_atoms","value":2148,"base":4}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1298,"base":4},"right_expr":{"type":"numeric_atoms","value":1459,"base":4}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":2139,"base":4},"right_expr":{"type":"numeric_atoms","value":1021,"base":4}}}}},"used_operators":["s3Fd5m9Dh2","2GS7woTJqF","W4tP9CfskL","B3sABdIn96","oDCm7WA9JY","AHs5Up7iyr","2DQ55sFlQl","B5M0gjZbta","rrgAzCduG9","Bmrmz2XGnR","RHru8klgy8","AdZkA7nFnk","uWAJUKEvyW","j9kHMeSvPp","8cLx32lpNA"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","g55IO6H4Gj","D4vGDi5EA2","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","COABgblf1C","xUOZtlo3hN","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2675","layer":4},{"info":"compute unary expreesion, input=2675, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=9842","layer":3},{"info":"number node, value=2466","layer":4},{"info":"number node, value=3816","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=3816, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4932","layer":3},{"info":"compute binary expreesion, left_input=9842, right_input=4932, 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=192080588","layer":2},{"info":"number node, value=3325","layer":4},{"info":"number node, value=3216","layer":4},{"info":"compute binary expreesion, left_input=3325, right_input=3216, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1347","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1739, 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=160, 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":"compute binary expreesion, left_input=192080588, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-576241764","layer":1},{"info":"number node, value=3693","layer":4},{"info":"compute unary expreesion, input=3693, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3867","layer":3},{"info":"number node, value=3696","layer":4},{"info":"number node, value=2148","layer":4},{"info":"compute binary expreesion, left_input=3696, right_input=2148, 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=-3867, right_input=-22, 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=-15678","layer":2},{"info":"number node, value=1298","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=1459, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2139","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=1021, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1021","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-1021, 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":2},{"info":"compute binary expreesion, left_input=-15678, right_input=-124, 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=-576241764, right_input=1234, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-inf","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯221303⪹)⊋(⪩⨒∯212202⋻⩜⩜⪩⨒∯323220))+⪬∐((⪩⨒∯303331⨵⪆⪩⨒∯302100)≹⇙⪍(⪩⨒∯111003↬⪩⨒∯123023))⊬⨰((⊈⪩⨒∯321231)≚⊃≕(⪩⨒∯321300⋅⇍⪩⨒∯201210))⪃⊛⇣(⪩⨒∯110102⪭⪩⨒∯112303⊹∫⫚⪩⨒∯201123∌⪩⨒∯33331)=-Inf","reverse_text":"-Inf=((⪩⨒∯221303⪹)⊋(⪩⨒∯212202⋻⩜⩜⪩⨒∯323220))+⪬∐((⪩⨒∯303331⨵⪆⪩⨒∯302100)≹⇙⪍(⪩⨒∯111003↬⪩⨒∯123023))⊬⨰((⊈⪩⨒∯321231)≚⊃≕(⪩⨒∯321300⋅⇍⪩⨒∯201210))⪃⊛⇣(⪩⨒∯110102⪭⪩⨒∯112303⊹∫⫚⪩⨒∯201123∌⪩⨒∯33331)","cot":[{"info":"⪩⨒∯221303⪹=⪩⨒∯2121302","layer":3},{"info":"⪩⨒∯212202⋻⩜⩜⪩⨒∯323220=⪩⨒∯1031010","layer":3},{"info":"⪩⨒∯2121302⊋⪩⨒∯1031010=⪩⨒∯23130232223030","layer":2},{"info":"⪩⨒∯303331⨵⪆⪩⨒∯302100=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯111003↬⪩⨒∯123023=NaN","layer":3},{"info":"⪩⨒∯2200≹⇙⪍NaN=NaN","layer":2},{"info":"⪩⨒∯23130232223030+⪬∐NaN=⪩⨒∯-202112030001210","layer":1},{"info":"⊈⪩⨒∯321231=⪩⨒∯-330123","layer":3},{"info":"⪩⨒∯321300⋅⇍⪩⨒∯201210=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯-330123≚⊃≕⪩⨒∯-112=⪩⨒∯-3310332","layer":2},{"info":"⪩⨒∯110102⪭⪩⨒∯112303=⪩⨒∯11","layer":3},{"info":"⪩⨒∯201123∌⪩⨒∯33331=⪩⨒∯-33331","layer":3},{"info":"⪩⨒∯11⊹∫⫚⪩⨒∯-33331=⪩⨒∯-1330","layer":2},{"info":"⪩⨒∯-3310332⪃⊛⇣⪩⨒∯-1330=⪩⨒∯103102","layer":1},{"info":"⪩⨒∯-202112030001210⊬⨰⪩⨒∯103102=-Inf","layer":0}]}
{"id":212,"expression_no_base_symbol":"(⪡⇡≛(($2056$⪛$1289$)↹⊜($3148$⊍⩺⋍$7134$)))*(↞≼($1495$⩍⋽⫝̸$1324$))⋓(⫇($1418$⨎$7193$))","expression":"(⪡⇡≛((⪩⨒∯200020⪛⪩⨒∯110021)↹⊜(⪩⨒∯301030⊍⩺⋍⪩⨒∯1233132)))*(↞≼(⪩⨒∯113113⩍⋽⫝̸⪩⨒∯110230))⋓(⫇(⪩⨒∯112022⨎⪩⨒∯1300121))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":314,"operation_count":10,"complexity_ratio":31.4,"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":2056,"base":4},"right_expr":{"type":"numeric_atoms","value":1289,"base":4}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3148,"base":4},"right_expr":{"type":"numeric_atoms","value":7134,"base":4}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1495,"base":4},"right_expr":{"type":"numeric_atoms","value":1324,"base":4}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1418,"base":4},"right_expr":{"type":"numeric_atoms","value":7193,"base":4}}}}},"used_operators":["9HNa5Wba9A","qL4PrbW1Dq","9bazX3JMtO","uFcxV4UQCh","OXDGMFPWZM","T2fj7uvVaJ","DE7zCoGJt9","BiWNJpBvwn","YjI8oCXuph","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","Ph9nP6C5qx","xUOZtlo3hN","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2056","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=1289, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=767","layer":3},{"info":"number node, value=3148","layer":4},{"info":"number node, value=7134","layer":4},{"info":"compute binary expreesion, left_input=3148, right_input=7134, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=767, right_input=nan, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', 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=1495","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=1324, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=378","layer":3},{"info":"compute unary expreesion, input=378, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=2610","layer":2},{"info":"number node, value=1418","layer":4},{"info":"number node, value=7193","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=7193, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7193","layer":3},{"info":"compute unary expreesion, input=7193, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-13172","layer":2},{"info":"compute binary expreesion, left_input=2610, right_input=-13172, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪡⇡≛((⪩⨒∯200020⪛⪩⨒∯110021)↹⊜(⪩⨒∯301030⊍⩺⋍⪩⨒∯1233132)))*(↞≼(⪩⨒∯113113⩍⋽⫝̸⪩⨒∯110230))⋓(⫇(⪩⨒∯112022⨎⪩⨒∯1300121))=NaN","reverse_text":"NaN=(⪡⇡≛((⪩⨒∯200020⪛⪩⨒∯110021)↹⊜(⪩⨒∯301030⊍⩺⋍⪩⨒∯1233132)))*(↞≼(⪩⨒∯113113⩍⋽⫝̸⪩⨒∯110230))⋓(⫇(⪩⨒∯112022⨎⪩⨒∯1300121))","cot":[{"info":"⪩⨒∯200020⪛⪩⨒∯110021=⪩⨒∯23333","layer":3},{"info":"⪩⨒∯301030⊍⩺⋍⪩⨒∯1233132=NaN","layer":3},{"info":"⪩⨒∯23333↹⊜NaN=NaN","layer":2},{"info":"⪡⇡≛NaN=NaN","layer":1},{"info":"⪩⨒∯113113⩍⋽⫝̸⪩⨒∯110230=⪩⨒∯11322","layer":3},{"info":"↞≼⪩⨒∯11322=⪩⨒∯220302","layer":2},{"info":"⪩⨒∯112022⨎⪩⨒∯1300121=⪩⨒∯1300121","layer":3},{"info":"⫇⪩⨒∯1300121=⪩⨒∯-3031310","layer":2},{"info":"⪩⨒∯220302⋓⪩⨒∯-3031310=⪩⨒∯0","layer":1},{"info":"NaN*⪩⨒∯0=NaN","layer":0}]}
{"id":213,"expression_no_base_symbol":"(⇋↷($1727$⨽∌$7127$⪒$4109$⩼⇪↪$5616$))⋥≓≎(($3647$⪛⫼$3055$)⊹∫⫚($7366$⨑≵⋬$2292$))≒∊($1360$+⪬∐$1271$)⊉↱≁($3679$≬⋮$8185$)","expression":"(⇋↷(⪩⨒∯122333⨽∌⪩⨒∯1233113⪒⪩⨒∯1000031⩼⇪↪⪩⨒∯1113300))⋥≓≎((⪩⨒∯320333⪛⫼⪩⨒∯233233)⊹∫⫚(⪩⨒∯1303012⨑≵⋬⪩⨒∯203310))≒∊(⪩⨒∯111100+⪬∐⪩⨒∯103313)⊉↱≁(⪩⨒∯321133≬⋮⪩⨒∯1333321)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":539,"operation_count":12,"complexity_ratio":44.916666666666664,"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":1727,"base":4},"right_expr":{"type":"numeric_atoms","value":7127,"base":4}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4109,"base":4},"right_expr":{"type":"numeric_atoms","value":5616,"base":4}}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3647,"base":4},"right_expr":{"type":"numeric_atoms","value":3055,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":7366,"base":4},"right_expr":{"type":"numeric_atoms","value":2292,"base":4}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1360,"base":4},"right_expr":{"type":"numeric_atoms","value":1271,"base":4}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3679,"base":4},"right_expr":{"type":"numeric_atoms","value":8185,"base":4}}}}},"used_operators":["Qy55tPpLXF","SWo3A1KBJH","f6k1SAg4EE","9samAPKr6k","ocnLzx9CaJ","5KTvxBwnZo","uWAJUKEvyW","hyuBjUqXlG","XnXgA4xnOs","w2P8NbNXyL","2GS7woTJqF","kbkesczE7y"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⪩⨒∯-331333213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":4},{"info":"number node, value=7127","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=7127, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=4109","layer":4},{"info":"number node, value=5616","layer":4},{"info":"compute binary expreesion, left_input=4109, right_input=5616, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-31877","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-31877, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=31877","layer":2},{"info":"compute unary expreesion, input=31877, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=255016","layer":1},{"info":"number node, value=3647","layer":4},{"info":"number node, value=3055","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=3055, 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=7366","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=7366, right_input=2292, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=22165","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=22165, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-44","layer":2},{"info":"number node, value=1360","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=1271, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4080","layer":3},{"info":"number node, value=3679","layer":4},{"info":"number node, value=8185","layer":4},{"info":"compute binary expreesion, left_input=3679, right_input=8185, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-4080, right_input=868, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-47122","layer":2},{"info":"compute binary expreesion, left_input=-44, right_input=-47122, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=528","layer":1},{"info":"compute binary expreesion, left_input=255016, right_input=528, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-253927","layer":0}],"base":4,"result_base":4,"text":"(⇋↷(⪩⨒∯122333⨽∌⪩⨒∯1233113⪒⪩⨒∯1000031⩼⇪↪⪩⨒∯1113300))⋥≓≎((⪩⨒∯320333⪛⫼⪩⨒∯233233)⊹∫⫚(⪩⨒∯1303012⨑≵⋬⪩⨒∯203310))≒∊(⪩⨒∯111100+⪬∐⪩⨒∯103313)⊉↱≁(⪩⨒∯321133≬⋮⪩⨒∯1333321)=⪩⨒∯-331333213","reverse_text":"⪩⨒∯-331333213=(⇋↷(⪩⨒∯122333⨽∌⪩⨒∯1233113⪒⪩⨒∯1000031⩼⇪↪⪩⨒∯1113300))⋥≓≎((⪩⨒∯320333⪛⫼⪩⨒∯233233)⊹∫⫚(⪩⨒∯1303012⨑≵⋬⪩⨒∯203310))≒∊(⪩⨒∯111100+⪬∐⪩⨒∯103313)⊉↱≁(⪩⨒∯321133≬⋮⪩⨒∯1333321)","cot":[{"info":"⪩⨒∯122333⨽∌⪩⨒∯1233113=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1000031⩼⇪↪⪩⨒∯1113300=⪩⨒∯-13302011","layer":3},{"info":"⪩⨒∯0⪒⪩⨒∯-13302011=⪩⨒∯13302011","layer":2},{"info":"⇋↷⪩⨒∯13302011=⪩⨒∯332100220","layer":1},{"info":"⪩⨒∯320333⪛⫼⪩⨒∯233233=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯1303012⨑≵⋬⪩⨒∯203310=⪩⨒∯11122111","layer":3},{"info":"⪩⨒∯33020⊹∫⫚⪩⨒∯11122111=⪩⨒∯-230","layer":2},{"info":"⪩⨒∯111100+⪬∐⪩⨒∯103313=⪩⨒∯-333300","layer":3},{"info":"⪩⨒∯321133≬⋮⪩⨒∯1333321=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯-333300⊉↱≁⪩⨒∯31210=⪩⨒∯-23200102","layer":2},{"info":"⪩⨒∯-230≒∊⪩⨒∯-23200102=⪩⨒∯20100","layer":1},{"info":"⪩⨒∯332100220⋥≓≎⪩⨒∯20100=⪩⨒∯-331333213","layer":0}]}
{"id":214,"expression_no_base_symbol":"($1145$⊚⫡⫭)∀⇚≩($3291$⇴$1373$)⫲≸⪮($1004$⨽∌$1625$⫌⩉⩟$2146$≀⫉$1005$)≳⇉(($5482$∛≔)⊋≦⊧$3781$⨥⫆$4931$∕⩚($2883$⊨$3012$)⇴($6385$+$2946$))","expression":"(⪩⨒∯101321⊚⫡⫭)∀⇚≩(⪩⨒∯303123⇴⪩⨒∯111131)⫲≸⪮(⪩⨒∯33230⨽∌⪩⨒∯121121⫌⩉⩟⪩⨒∯201202≀⫉⪩⨒∯33231)≳⇉((⪩⨒∯1111222∛≔)⊋≦⊧⪩⨒∯323011⨥⫆⪩⨒∯1031003∕⩚(⪩⨒∯231003⊨⪩⨒∯233010)⇴(⪩⨒∯1203301+⪩⨒∯232002))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":66026,"operation_count":15,"complexity_ratio":4401.733333333334,"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":1145,"base":4}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3291,"base":4},"right_expr":{"type":"numeric_atoms","value":1373,"base":4}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1004,"base":4},"right_expr":{"type":"numeric_atoms","value":1625,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2146,"base":4},"right_expr":{"type":"numeric_atoms","value":1005,"base":4}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":5482,"base":4}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":3781,"base":4},"right_expr":{"type":"numeric_atoms","value":4931,"base":4}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2883,"base":4},"right_expr":{"type":"numeric_atoms","value":3012,"base":4}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6385,"base":4},"right_expr":{"type":"numeric_atoms","value":2946,"base":4}}}}},"used_operators":["V0kx6qeWkN","P3lXMJvFrc","LRNGc0VcxI","SpZWOsLKZJ","4JB6nKBMSY","XIIwhv8d0m","9samAPKr6k","oZj3VtZNQx","z9ffQ9n5Zr","oRDoc9rAEX","mGnSCrte3L","yXekIHxTD4","vg4gO5BX6G","W4YGzv6Whe"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","sdazOOVcIp","NTOWxs364D","COABgblf1C","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-1364","layer":3},{"info":"number node, value=3291","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=1373, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=22106","layer":3},{"info":"compute binary expreesion, left_input=-1364, right_input=22106, 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=1004","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=1625, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2146","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=1005, 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=0, right_input=2822, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-50, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":1},{"info":"number node, value=5482","layer":4},{"info":"compute unary expreesion, input=5482, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"number node, value=3781","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=3781, right_input=4931, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=9738","layer":3},{"info":"compute binary expreesion, left_input=-inf, right_input=9738, 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=2883","layer":4},{"info":"number node, value=3012","layer":4},{"info":"compute binary expreesion, left_input=2883, right_input=3012, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=12563","layer":3},{"info":"number node, value=6385","layer":4},{"info":"number node, value=2946","layer":4},{"info":"compute binary expreesion, left_input=6385, right_input=2946, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9331","layer":3},{"info":"compute binary expreesion, left_input=12563, right_input=9331, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=93654","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=93654, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-195","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-195, 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":4,"result_base":4,"text":"(⪩⨒∯101321⊚⫡⫭)∀⇚≩(⪩⨒∯303123⇴⪩⨒∯111131)⫲≸⪮(⪩⨒∯33230⨽∌⪩⨒∯121121⫌⩉⩟⪩⨒∯201202≀⫉⪩⨒∯33231)≳⇉((⪩⨒∯1111222∛≔)⊋≦⊧⪩⨒∯323011⨥⫆⪩⨒∯1031003∕⩚(⪩⨒∯231003⊨⪩⨒∯233010)⇴(⪩⨒∯1203301+⪩⨒∯232002))=NaN","reverse_text":"NaN=(⪩⨒∯101321⊚⫡⫭)∀⇚≩(⪩⨒∯303123⇴⪩⨒∯111131)⫲≸⪮(⪩⨒∯33230⨽∌⪩⨒∯121121⫌⩉⩟⪩⨒∯201202≀⫉⪩⨒∯33231)≳⇉((⪩⨒∯1111222∛≔)⊋≦⊧⪩⨒∯323011⨥⫆⪩⨒∯1031003∕⩚(⪩⨒∯231003⊨⪩⨒∯233010)⇴(⪩⨒∯1203301+⪩⨒∯232002))","cot":[{"info":"⪩⨒∯101321⊚⫡⫭=⪩⨒∯-111110","layer":3},{"info":"⪩⨒∯303123⇴⪩⨒∯111131=⪩⨒∯11121122","layer":3},{"info":"⪩⨒∯-111110∀⇚≩⪩⨒∯11121122=NaN","layer":2},{"info":"⪩⨒∯33230⨽∌⪩⨒∯121121=⪩⨒∯0","layer":3},{"info":"⪩⨒∯201202≀⫉⪩⨒∯33231=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯0⫌⩉⩟⪩⨒∯230012=⪩⨒∯-302","layer":2},{"info":"NaN⫲≸⪮⪩⨒∯-302=NaN","layer":1},{"info":"⪩⨒∯1111222∛≔=-Inf","layer":3},{"info":"⪩⨒∯323011⨥⫆⪩⨒∯1031003=⪩⨒∯2120022","layer":3},{"info":"-Inf⊋≦⊧⪩⨒∯2120022=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯231003⊨⪩⨒∯233010=⪩⨒∯3010103","layer":3},{"info":"⪩⨒∯1203301+⪩⨒∯232002=⪩⨒∯2101303","layer":3},{"info":"⪩⨒∯3010103⇴⪩⨒∯2101303=⪩⨒∯112313112","layer":2},{"info":"⪩⨒∯3000∕⩚⪩⨒∯112313112=⪩⨒∯-3003","layer":1},{"info":"NaN≳⇉⪩⨒∯-3003=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"(⊀(⩏⊷≩($1049$⫚↹⊑$3980$)))⨟⋌⩍(≇⪴$1982$≁↽≥$6529$)≁↽≥($4371$⪟⇏$5180$⩦($4605$∇⊂⋱$2012$))","expression":"(⊀(⩏⊷≩(⪩⨒∯100121⫚↹⊑⪩⨒∯332030)))⨟⋌⩍(≇⪴⪩⨒∯132332≁↽≥⪩⨒∯1212001)≁↽≥(⪩⨒∯1010103⪟⇏⪩⨒∯1100330⩦(⪩⨒∯1013331∇⊂⋱⪩⨒∯133130))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":161,"operation_count":10,"complexity_ratio":16.1,"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":1049,"base":4},"right_expr":{"type":"numeric_atoms","value":3980,"base":4}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1982,"base":4},"right_expr":{"type":"numeric_atoms","value":6529,"base":4}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4371,"base":4},"right_expr":{"type":"numeric_atoms","value":5180,"base":4}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":4605,"base":4},"right_expr":{"type":"numeric_atoms","value":2012,"base":4}}}}},"used_operators":["rGHVDoGpnC","oPMjh9089D","uOZ1tnYMDE","dfKe02y8D2","ncHt1X6cMc","zoVPnxeHJ3","0kmYd0q39Y","GODebY97qR","nhYeJWJD5X"],"dependent_operators":["Tcnh7f0tEr","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","23Mk6UjR3U","12rbrZMWeM","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","oWn0xqSxBt","3Oe9XWJUTD","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⪩⨒∯2102002","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=3980","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=3980, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2402","layer":2},{"info":"compute unary expreesion, input=2402, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=9346","layer":1},{"info":"number node, value=1982","layer":4},{"info":"number node, value=6529","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=6529, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=39662","layer":3},{"info":"compute unary expreesion, input=39662, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-117646","layer":2},{"info":"number node, value=4371","layer":4},{"info":"number node, value=5180","layer":4},{"info":"compute binary expreesion, left_input=4371, right_input=5180, 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=4605","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=4605, right_input=2012, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=8664","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=8664, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=-2","layer":2},{"info":"compute binary expreesion, left_input=-117646, right_input=-2, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=9346, right_input=0, 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=9346","layer":0}],"base":4,"result_base":4,"text":"(⊀(⩏⊷≩(⪩⨒∯100121⫚↹⊑⪩⨒∯332030)))⨟⋌⩍(≇⪴⪩⨒∯132332≁↽≥⪩⨒∯1212001)≁↽≥(⪩⨒∯1010103⪟⇏⪩⨒∯1100330⩦(⪩⨒∯1013331∇⊂⋱⪩⨒∯133130))=⪩⨒∯2102002","reverse_text":"⪩⨒∯2102002=(⊀(⩏⊷≩(⪩⨒∯100121⫚↹⊑⪩⨒∯332030)))⨟⋌⩍(≇⪴⪩⨒∯132332≁↽≥⪩⨒∯1212001)≁↽≥(⪩⨒∯1010103⪟⇏⪩⨒∯1100330⩦(⪩⨒∯1013331∇⊂⋱⪩⨒∯133130))","cot":[{"info":"⪩⨒∯100121⫚↹⊑⪩⨒∯332030=⪩⨒∯-12333","layer":3},{"info":"⩏⊷≩⪩⨒∯-12333=⪩⨒∯211202","layer":2},{"info":"⊀⪩⨒∯211202=⪩⨒∯2102002","layer":1},{"info":"⪩⨒∯132332≁↽≥⪩⨒∯1212001=⪩⨒∯21223232","layer":3},{"info":"≇⪴⪩⨒∯21223232=⪩⨒∯-130232032","layer":2},{"info":"⪩⨒∯1010103⪟⇏⪩⨒∯1100330=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯1013331∇⊂⋱⪩⨒∯133130=⪩⨒∯2013120","layer":3},{"info":"⪩⨒∯-1⩦⪩⨒∯2013120=⪩⨒∯-2","layer":2},{"info":"⪩⨒∯-130232032≁↽≥⪩⨒∯-2=⪩⨒∯0","layer":1},{"info":"⪩⨒∯2102002⨟⋌⩍⪩⨒∯0=⪩⨒∯2102002","layer":0}]}
{"id":216,"expression_no_base_symbol":"((⇘$2225$)⊕∕($6734$⨕⋳)∠⫱(≪$2284$⨑⩅≇$1012$))↳∿⪆((($3372$⩁)⇉⇱⇎)≦≮≮)","expression":"((⇘⪩⨒∯202301)⊕∕(⪩⨒∯1221032⨕⋳)∠⫱(≪⪩⨒∯203230⨑⩅≇⪩⨒∯33310))↳∿⪆(((⪩⨒∯310230⩁)⇉⇱⇎)≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8151,"operation_count":10,"complexity_ratio":815.1,"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":2225,"base":4}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":6734,"base":4}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2284,"base":4},"right_expr":{"type":"numeric_atoms","value":1012,"base":4}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":3372,"base":4}}}}},"used_operators":["Cw4SuJJGHO","QvoQhV0rrE","9cloC0Ngie","MGuIdZPyUC","4X4GscPmMf","Qtd6bqUJcN","h92wMvzauj","D4vGDi5EA2","MRPaB8lBjK","5GqDbVmqXU"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2225","layer":4},{"info":"compute unary expreesion, input=2225, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=127882","layer":3},{"info":"number node, value=6734","layer":4},{"info":"compute unary expreesion, input=6734, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=512220","layer":3},{"info":"compute binary expreesion, left_input=127882, right_input=512220, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=127882","layer":2},{"info":"number node, value=2284","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=1012, 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=-6852","layer":3},{"info":"compute unary expreesion, input=-6852, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=82095","layer":2},{"info":"compute binary expreesion, left_input=127882, right_input=82095, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"number node, value=3372","layer":4},{"info":"compute unary expreesion, input=3372, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-24196","layer":3},{"info":"compute unary expreesion, input=-24196, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=218","layer":2},{"info":"compute unary expreesion, input=218, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-654","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-654, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⇘⪩⨒∯202301)⊕∕(⪩⨒∯1221032⨕⋳)∠⫱(≪⪩⨒∯203230⨑⩅≇⪩⨒∯33310))↳∿⪆(((⪩⨒∯310230⩁)⇉⇱⇎)≦≮≮)=NaN","reverse_text":"NaN=((⇘⪩⨒∯202301)⊕∕(⪩⨒∯1221032⨕⋳)∠⫱(≪⪩⨒∯203230⨑⩅≇⪩⨒∯33310))↳∿⪆(((⪩⨒∯310230⩁)⇉⇱⇎)≦≮≮)","cot":[{"info":"⇘⪩⨒∯202301=⪩⨒∯133032022","layer":3},{"info":"⪩⨒∯1221032⨕⋳=⪩⨒∯1331003130","layer":3},{"info":"⪩⨒∯133032022⊕∕⪩⨒∯1331003130=⪩⨒∯133032022","layer":2},{"info":"⪩⨒∯203230⨑⩅≇⪩⨒∯33310=⪩⨒∯-1223010","layer":3},{"info":"≪⪩⨒∯-1223010=⪩⨒∯110002233","layer":2},{"info":"⪩⨒∯133032022∠⫱⪩⨒∯110002233=⪩⨒∯103102","layer":1},{"info":"⪩⨒∯310230⩁=⪩⨒∯-11322010","layer":3},{"info":"⪩⨒∯-11322010⇉⇱⇎=⪩⨒∯3122","layer":2},{"info":"⪩⨒∯3122≦≮≮=⪩⨒∯-22032","layer":1},{"info":"⪩⨒∯103102↳∿⪆⪩⨒∯-22032=NaN","layer":0}]}
{"id":217,"expression_no_base_symbol":"⋎⨆(($1612$⫲≸⪮$6225$)⫩)≬⇓($9031$⩁⩘$7622$⋷$6193$↹⊜$8005$)","expression":"⋎⨆((⪩⨒∯121030⫲≸⪮⪩⨒∯1201101)⫩)≬⇓(⪩⨒∯2031013⩁⩘⪩⨒∯1313012⋷⪩⨒∯1200301↹⊜⪩⨒∯1331011)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3516,"operation_count":7,"complexity_ratio":502.2857142857143,"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":1612,"base":4},"right_expr":{"type":"numeric_atoms","value":6225,"base":4}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":9031,"base":4},"right_expr":{"type":"numeric_atoms","value":7622,"base":4}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":6193,"base":4},"right_expr":{"type":"numeric_atoms","value":8005,"base":4}}}}},"used_operators":["E64sFOc4tB","jWTQ2TZYIH","6aG7x05OhS","P3lXMJvFrc","23Mk6UjR3U","gub5Cegaqo","9bazX3JMtO"],"dependent_operators":["PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","dWAJyo7jo9","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd"],"result":"⪩⨒∯133233123300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1612","layer":4},{"info":"number node, value=6225","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=6225, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1612","layer":3},{"info":"compute unary expreesion, input=1612, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=9031","layer":4},{"info":"number node, value=7622","layer":4},{"info":"compute binary expreesion, left_input=9031, right_input=7622, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=31436","layer":3},{"info":"number node, value=6193","layer":4},{"info":"number node, value=8005","layer":4},{"info":"compute binary expreesion, left_input=6193, right_input=8005, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-19730","layer":3},{"info":"compute binary expreesion, left_input=31436, right_input=-19730, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-70896","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-70896, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"⋎⨆((⪩⨒∯121030⫲≸⪮⪩⨒∯1201101)⫩)≬⇓(⪩⨒∯2031013⩁⩘⪩⨒∯1313012⋷⪩⨒∯1200301↹⊜⪩⨒∯1331011)=⪩⨒∯133233123300","reverse_text":"⪩⨒∯133233123300=⋎⨆((⪩⨒∯121030⫲≸⪮⪩⨒∯1201101)⫩)≬⇓(⪩⨒∯2031013⩁⩘⪩⨒∯1313012⋷⪩⨒∯1200301↹⊜⪩⨒∯1331011)","cot":[{"info":"⪩⨒∯121030⫲≸⪮⪩⨒∯1201101=⪩⨒∯121030","layer":3},{"info":"⪩⨒∯121030⫩=NaN","layer":2},{"info":"⪩⨒∯2031013⩁⩘⪩⨒∯1313012=⪩⨒∯13223030","layer":3},{"info":"⪩⨒∯1200301↹⊜⪩⨒∯1331011=⪩⨒∯-10310102","layer":3},{"info":"⪩⨒∯13223030⋷⪩⨒∯-10310102=⪩⨒∯-101103300","layer":2},{"info":"NaN≬⇓⪩⨒∯-101103300=NaN","layer":1},{"info":"⋎⨆NaN=⪩⨒∯133233123300","layer":0}]}
{"id":218,"expression_no_base_symbol":"((⪲⇎$5271$)∛$5845$∺≝⩲$1227$⫥∨⫟($1423$⇚⪠)⪚($5146$⋝⋈⪟$1305$))⊴((($3567$⨵⪆$2589$)⫸⊐$4180$⨥⫆$2033$)⩅⪻⪻)","expression":"((⪲⇎⪩⨒∯1102113)∛⪩⨒∯1123111∺≝⩲⪩⨒∯103023⫥∨⫟(⪩⨒∯112033⇚⪠)⪚(⪩⨒∯1100122⋝⋈⪟⪩⨒∯110121))⊴(((⪩⨒∯313233⨵⪆⪩⨒∯220131)⫸⊐⪩⨒∯1001110⨥⫆⪩⨒∯133301)⩅⪻⪻)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2793,"operation_count":12,"complexity_ratio":232.75,"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":5271,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":5845,"base":4},"right_expr":{"type":"numeric_atoms","value":1227,"base":4}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":1423,"base":4}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5146,"base":4},"right_expr":{"type":"numeric_atoms","value":1305,"base":4}}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3567,"base":4},"right_expr":{"type":"numeric_atoms","value":2589,"base":4}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4180,"base":4},"right_expr":{"type":"numeric_atoms","value":2033,"base":4}}}}},"used_operators":["Nsiff2A1zJ","KYD54nUTWz","w2537kitQq","XPYlsWDdGa","KPf6cnQVty","HrjLwUk87U","Loh9y4A90B","2DDjHMKMc0","kHoXpA7yos","mqXw5SEYmG","2DQ55sFlQl","yXekIHxTD4"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","W4YGzv6Whe","t8gj7n24qd","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5271","layer":4},{"info":"compute unary expreesion, input=5271, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10542","layer":3},{"info":"number node, value=5845","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=5845, right_input=1227, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=10542, right_input=160, 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=1423","layer":4},{"info":"compute unary expreesion, input=1423, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=4049858","layer":3},{"info":"number node, value=5146","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=5146, right_input=1305, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5146","layer":3},{"info":"compute binary expreesion, left_input=4049858, right_input=5146, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=8089068","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=8089068, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3567","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=3567, right_input=2589, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4180","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=2033, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3942","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=3942, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=320","layer":2},{"info":"compute unary expreesion, input=320, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=11012415","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=11012415, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪲⇎⪩⨒∯1102113)∛⪩⨒∯1123111∺≝⩲⪩⨒∯103023⫥∨⫟(⪩⨒∯112033⇚⪠)⪚(⪩⨒∯1100122⋝⋈⪟⪩⨒∯110121))⊴(((⪩⨒∯313233⨵⪆⪩⨒∯220131)⫸⊐⪩⨒∯1001110⨥⫆⪩⨒∯133301)⩅⪻⪻)=NaN","reverse_text":"NaN=((⪲⇎⪩⨒∯1102113)∛⪩⨒∯1123111∺≝⩲⪩⨒∯103023⫥∨⫟(⪩⨒∯112033⇚⪠)⪚(⪩⨒∯1100122⋝⋈⪟⪩⨒∯110121))⊴(((⪩⨒∯313233⨵⪆⪩⨒∯220131)⫸⊐⪩⨒∯1001110⨥⫆⪩⨒∯133301)⩅⪻⪻)","cot":[{"info":"⪲⇎⪩⨒∯1102113=⪩⨒∯2210232","layer":3},{"info":"⪩⨒∯1123111∺≝⩲⪩⨒∯103023=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2210232∛⪩⨒∯2200=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯112033⇚⪠=⪩⨒∯33130233002","layer":3},{"info":"⪩⨒∯1100122⋝⋈⪟⪩⨒∯110121=⪩⨒∯1100122","layer":3},{"info":"⪩⨒∯33130233002⪚⪩⨒∯1100122=⪩⨒∯132312313230","layer":2},{"info":"⪩⨒∯1003⫥∨⫟⪩⨒∯132312313230=NaN","layer":1},{"info":"⪩⨒∯313233⨵⪆⪩⨒∯220131=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1001110⨥⫆⪩⨒∯133301=⪩⨒∯331212","layer":3},{"info":"⪩⨒∯2200⫸⊐⪩⨒∯331212=⪩⨒∯11000","layer":2},{"info":"⪩⨒∯11000⩅⪻⪻=⪩⨒∯222000210333","layer":1},{"info":"NaN⊴⪩⨒∯222000210333=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"⨴⫝(($3807$⩵∡$2151$)≃$1601$⊮⊟↴$5234$)↞⋁(⊀($4657$⫦⪉$2919$))","expression":"⨴⫝((⪩⨒∯323133⩵∡⪩⨒∯201213)≃⪩⨒∯121001⊮⊟↴⪩⨒∯1101302)↞⋁(⊀(⪩⨒∯1020301⫦⪉⪩⨒∯231213))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":361,"operation_count":7,"complexity_ratio":51.57142857142857,"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":3807,"base":4},"right_expr":{"type":"numeric_atoms","value":2151,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1601,"base":4},"right_expr":{"type":"numeric_atoms","value":5234,"base":4}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4657,"base":4},"right_expr":{"type":"numeric_atoms","value":2919,"base":4}}}}},"used_operators":["SVb2v531z1","RqrPlJkxDo","YbVcJGFEVW","Y7wcNGrDQJ","QDVgd2eftb","oPMjh9089D","wscyQdcy20"],"dependent_operators":["oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","NTOWxs364D","glklzrTFfD","tifHPKVTfV","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3807","layer":4},{"info":"number node, value=2151","layer":4},{"info":"compute binary expreesion, left_input=3807, right_input=2151, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5584","layer":3},{"info":"number node, value=1601","layer":4},{"info":"number node, value=5234","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=5234, 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=-5584, 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=4657","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=4657, right_input=2919, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4414","layer":3},{"info":"compute unary expreesion, input=-4414, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=66993","layer":2},{"info":"compute binary expreesion, left_input=-80, right_input=66993, 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 = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⨴⫝((⪩⨒∯323133⩵∡⪩⨒∯201213)≃⪩⨒∯121001⊮⊟↴⪩⨒∯1101302)↞⋁(⊀(⪩⨒∯1020301⫦⪉⪩⨒∯231213))=NaN","reverse_text":"NaN=⨴⫝((⪩⨒∯323133⩵∡⪩⨒∯201213)≃⪩⨒∯121001⊮⊟↴⪩⨒∯1101302)↞⋁(⊀(⪩⨒∯1020301⫦⪉⪩⨒∯231213))","cot":[{"info":"⪩⨒∯323133⩵∡⪩⨒∯201213=⪩⨒∯-1113100","layer":3},{"info":"⪩⨒∯121001⊮⊟↴⪩⨒∯1101302=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1113100≃⪩⨒∯0=⪩⨒∯-1100","layer":2},{"info":"⪩⨒∯1020301⫦⪉⪩⨒∯231213=⪩⨒∯-1010332","layer":3},{"info":"⊀⪩⨒∯-1010332=⪩⨒∯100112301","layer":2},{"info":"⪩⨒∯-1100↞⋁⪩⨒∯100112301=NaN","layer":1},{"info":"⨴⫝NaN=NaN","layer":0}]}
{"id":220,"expression_no_base_symbol":"($1660$⨫⇇↔$1024$∝$3588$⫒⫫$6189$)⊋($3108$⪔⊥$1769$)⨑⩅≇(⇖$1818$)≎⊠⪸((($1094$⪘⨀)⫲⨊)∠↢(⊁⨺$5513$⫘$3506$))","expression":"(⪩⨒∯121330⨫⇇↔⪩⨒∯100000∝⪩⨒∯320010⫒⫫⪩⨒∯1200231)⊋(⪩⨒∯300210⪔⊥⪩⨒∯123221)⨑⩅≇(⇖⪩⨒∯130122)≎⊠⪸(((⪩⨒∯101012⪘⨀)⫲⨊)∠↢(⊁⨺⪩⨒∯1112021⫘⪩⨒∯312302))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6406,"operation_count":13,"complexity_ratio":492.7692307692308,"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":1660,"base":4},"right_expr":{"type":"numeric_atoms","value":1024,"base":4}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3588,"base":4},"right_expr":{"type":"numeric_atoms","value":6189,"base":4}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3108,"base":4},"right_expr":{"type":"numeric_atoms","value":1769,"base":4}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1818,"base":4}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1094,"base":4}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5513,"base":4},"right_expr":{"type":"numeric_atoms","value":3506,"base":4}}}}},"used_operators":["bJkvcejdHO","W4tP9CfskL","cTDWOvIxvz","LXhwmt4mBO","6Ko8hGgeMq","h92wMvzauj","HJ9erzHUuu","tfWHHpNKUN","KbjG8mgYpV","CArV6hThFE","aA7tF3KVD3","PxiHyQbrIp","48vC8HMD2b"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","7j4O788W3g","W4YGzv6Whe","COABgblf1C","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","2DQ55sFlQl","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"⪩⨒∯20020311032112","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1660","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1660, right_input=1024, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=3588","layer":4},{"info":"number node, value=6189","layer":4},{"info":"compute binary expreesion, left_input=3588, right_input=6189, 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=-527, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"number node, value=3108","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=1769, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=8695","layer":3},{"info":"number node, value=1818","layer":4},{"info":"compute unary expreesion, input=1818, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=8695, right_input=160, 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=-26085","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-26085, 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=-527154","layer":1},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-2769","layer":3},{"info":"compute unary expreesion, input=-2769, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-13062","layer":2},{"info":"number node, value=5513","layer":4},{"info":"number node, value=3506","layer":4},{"info":"compute binary expreesion, left_input=5513, right_input=3506, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6487693","layer":3},{"info":"compute unary expreesion, input=6487693, 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":"compute binary expreesion, left_input=-13062, right_input=160, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=51090","layer":1},{"info":"compute binary expreesion, left_input=-527154, right_input=51090, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=136532886","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯121330⨫⇇↔⪩⨒∯100000∝⪩⨒∯320010⫒⫫⪩⨒∯1200231)⊋(⪩⨒∯300210⪔⊥⪩⨒∯123221)⨑⩅≇(⇖⪩⨒∯130122)≎⊠⪸(((⪩⨒∯101012⪘⨀)⫲⨊)∠↢(⊁⨺⪩⨒∯1112021⫘⪩⨒∯312302))=⪩⨒∯20020311032112","reverse_text":"⪩⨒∯20020311032112=(⪩⨒∯121330⨫⇇↔⪩⨒∯100000∝⪩⨒∯320010⫒⫫⪩⨒∯1200231)⊋(⪩⨒∯300210⪔⊥⪩⨒∯123221)⨑⩅≇(⇖⪩⨒∯130122)≎⊠⪸(((⪩⨒∯101012⪘⨀)⫲⨊)∠↢(⊁⨺⪩⨒∯1112021⫘⪩⨒∯312302))","cot":[{"info":"⪩⨒∯121330⨫⇇↔⪩⨒∯100000=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯320010⫒⫫⪩⨒∯1200231=NaN","layer":3},{"info":"⪩⨒∯-20033∝NaN=NaN","layer":2},{"info":"⪩⨒∯300210⪔⊥⪩⨒∯123221=⪩⨒∯2013313","layer":3},{"info":"⇖⪩⨒∯130122=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2013313⨑⩅≇⪩⨒∯2200=⪩⨒∯-12113211","layer":2},{"info":"NaN⊋⪩⨒∯-12113211=⪩⨒∯-2000230302","layer":1},{"info":"⪩⨒∯101012⪘⨀=⪩⨒∯-223101","layer":3},{"info":"⪩⨒∯-223101⫲⨊=⪩⨒∯-3030012","layer":2},{"info":"⪩⨒∯1112021⫘⪩⨒∯312302=⪩⨒∯120233322031","layer":3},{"info":"⊁⨺⪩⨒∯120233322031=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯-3030012∠↢⪩⨒∯2200=⪩⨒∯30132102","layer":1},{"info":"⪩⨒∯-2000230302≎⊠⪸⪩⨒∯30132102=⪩⨒∯20020311032112","layer":0}]}
{"id":221,"expression_no_base_symbol":"(((⫓⪴$1462$)⨰($1178$⊹≧⊝))⨎⋸⪻)⨵⪆(≋((≀↧⇸$2223$)∪⫐$1096$∙⊟$4778$))","expression":"(((⫓⪴⪩⨒∯112312)⨰(⪩⨒∯102122⊹≧⊝))⨎⋸⪻)⨵⪆(≋((≀↧⇸⪩⨒∯202233)∪⫐⪩⨒∯101020∙⊟⪩⨒∯1022222))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2677,"operation_count":9,"complexity_ratio":297.44444444444446,"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":1462,"base":4}},"right_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1178,"base":4}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":2223,"base":4}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1096,"base":4},"right_expr":{"type":"numeric_atoms","value":4778,"base":4}}}}},"used_operators":["2DQ55sFlQl","Dk5vyLCiGd","eewbuw0ToL","eLxqMNBOBk","LxFB4K6j0n","61wBmkZwlr","7YooWSwCyH","ljTHtUsqzn","SxTAKzQCrw"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","IWmyXbctLI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","7j4O788W3g","rJVOvQCfKK","2DDjHMKMc0","XPYlsWDdGa","23Mk6UjR3U","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2137444","layer":3},{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-4712","layer":3},{"info":"compute binary expreesion, left_input=2137444, right_input=-4712, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2142166","layer":2},{"info":"compute unary expreesion, input=2142166, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=4284648","layer":1},{"info":"number node, value=2223","layer":4},{"info":"compute unary expreesion, input=2223, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=4446","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=4778","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=4778, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=24094","layer":3},{"info":"compute binary expreesion, left_input=4446, right_input=24094, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=4446","layer":2},{"info":"compute unary expreesion, input=4446, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=4446","layer":1},{"info":"compute binary expreesion, left_input=4284648, right_input=4446, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":4,"result_base":4,"text":"(((⫓⪴⪩⨒∯112312)⨰(⪩⨒∯102122⊹≧⊝))⨎⋸⪻)⨵⪆(≋((≀↧⇸⪩⨒∯202233)∪⫐⪩⨒∯101020∙⊟⪩⨒∯1022222))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(((⫓⪴⪩⨒∯112312)⨰(⪩⨒∯102122⊹≧⊝))⨎⋸⪻)⨵⪆(≋((≀↧⇸⪩⨒∯202233)∪⫐⪩⨒∯101020∙⊟⪩⨒∯1022222))","cot":[{"info":"⫓⪴⪩⨒∯112312=⪩⨒∯20021311210","layer":3},{"info":"⪩⨒∯102122⊹≧⊝=⪩⨒∯-1021220","layer":3},{"info":"⪩⨒∯20021311210⨰⪩⨒∯-1021220=⪩⨒∯20022333112","layer":2},{"info":"⪩⨒∯20022333112⨎⋸⪻=⪩⨒∯100112003220","layer":1},{"info":"≀↧⇸⪩⨒∯202233=⪩⨒∯1011132","layer":3},{"info":"⪩⨒∯101020∙⊟⪩⨒∯1022222=⪩⨒∯11320132","layer":3},{"info":"⪩⨒∯1011132∪⫐⪩⨒∯11320132=⪩⨒∯1011132","layer":2},{"info":"≋⪩⨒∯1011132=⪩⨒∯1011132","layer":1},{"info":"⪩⨒∯100112003220⨵⪆⪩⨒∯1011132=⪩⨒∯2200","layer":0}]}
{"id":222,"expression_no_base_symbol":"(⩩($1118$⊭↱$1804$))↞⋁((⨦⪝$3389$)⇣⩺⋵($1851$≋⫹))⪎↠((↥≼⋛(↓⇌$6798$))⫁⪎(⨂⪏⇭$2702$)≌($7223$⫃⨇$2243$))","expression":"(⩩(⪩⨒∯101132⊭↱⪩⨒∯130030))↞⋁((⨦⪝⪩⨒∯310331)⇣⩺⋵(⪩⨒∯130323≋⫹))⪎↠((↥≼⋛(↓⇌⪩⨒∯1222032))⫁⪎(⨂⪏⇭⪩⨒∯222032)≌(⪩⨒∯1300313⫃⨇⪩⨒∯203003))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11929,"operation_count":13,"complexity_ratio":917.6153846153846,"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":1118,"base":4},"right_expr":{"type":"numeric_atoms","value":1804,"base":4}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":3389,"base":4}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1851,"base":4}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":6798,"base":4}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2702,"base":4}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":7223,"base":4},"right_expr":{"type":"numeric_atoms","value":2243,"base":4}}}}},"used_operators":["3tVxb0NHM4","RqrPlJkxDo","kMhfGuqI2H","COABgblf1C","F4yD0voBRQ","SUjycxNXIR","N41Kp7NANJ","xRrnTEsQ6j","x5lMkHmzsq","PxpmPgHHJV","lyWz822IDG","AYdpE9sXAk","09Ly4LVMIf"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=1804, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1377","layer":3},{"info":"compute unary expreesion, input=1377, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"info":"number node, value=3389","layer":4},{"info":"compute unary expreesion, input=3389, 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=1851","layer":4},{"info":"compute unary expreesion, input=1851, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3702","layer":3},{"info":"compute binary expreesion, left_input=-1884, right_input=-3702, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=6798","layer":4},{"info":"compute unary expreesion, input=6798, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=6798","layer":3},{"info":"compute unary expreesion, input=6798, 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=2702","layer":4},{"info":"compute unary expreesion, input=2702, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=7127","layer":3},{"info":"number node, value=7223","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=7223, right_input=2243, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9004","layer":3},{"info":"compute binary expreesion, left_input=7127, right_input=-9004, 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=-113, 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 = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⩩(⪩⨒∯101132⊭↱⪩⨒∯130030))↞⋁((⨦⪝⪩⨒∯310331)⇣⩺⋵(⪩⨒∯130323≋⫹))⪎↠((↥≼⋛(↓⇌⪩⨒∯1222032))⫁⪎(⨂⪏⇭⪩⨒∯222032)≌(⪩⨒∯1300313⫃⨇⪩⨒∯203003))=NaN","reverse_text":"NaN=(⩩(⪩⨒∯101132⊭↱⪩⨒∯130030))↞⋁((⨦⪝⪩⨒∯310331)⇣⩺⋵(⪩⨒∯130323≋⫹))⪎↠((↥≼⋛(↓⇌⪩⨒∯1222032))⫁⪎(⨂⪏⇭⪩⨒∯222032)≌(⪩⨒∯1300313⫃⨇⪩⨒∯203003))","cot":[{"info":"⪩⨒∯101132⊭↱⪩⨒∯130030=⪩⨒∯111201","layer":3},{"info":"⩩⪩⨒∯111201=NaN","layer":2},{"info":"⨦⪝⪩⨒∯310331=⪩⨒∯-131130","layer":3},{"info":"⪩⨒∯130323≋⫹=⪩⨒∯-321312","layer":3},{"info":"⪩⨒∯-131130⇣⩺⋵⪩⨒∯-321312=⪩⨒∯-10010","layer":2},{"info":"NaN↞⋁⪩⨒∯-10010=NaN","layer":1},{"info":"↓⇌⪩⨒∯1222032=⪩⨒∯1222032","layer":3},{"info":"↥≼⋛⪩⨒∯1222032=⪩⨒∯-1301","layer":2},{"info":"⨂⪏⇭⪩⨒∯222032=⪩⨒∯1233113","layer":3},{"info":"⪩⨒∯1300313⫃⨇⪩⨒∯203003=⪩⨒∯-2030230","layer":3},{"info":"⪩⨒∯1233113≌⪩⨒∯-2030230=NaN","layer":2},{"info":"⪩⨒∯-1301⫁⪎NaN=NaN","layer":1},{"info":"NaN⪎↠NaN=NaN","layer":0}]}
{"id":223,"expression_no_base_symbol":"((⨈⪑($4095$⨭⪣$3796$))⩒⫫(⩩$2685$)∥⊢⊲($5440$⫥∨⫟$3045$))≨(($4446$⪒$3263$)⇴∐($3397$⨐⩸⫘$1482$)⫲≸⪮($1095$⋥⋵⩄$1142$)⊕∕($3008$⇮⋭$1527$))","expression":"((⨈⪑(⪩⨒∯333333⨭⪣⪩⨒∯323110))⩒⫫(⩩⪩⨒∯221331)∥⊢⊲(⪩⨒∯1111000⫥∨⫟⪩⨒∯233211))≨((⪩⨒∯1011132⪒⪩⨒∯302333)⇴∐(⪩⨒∯311011⨐⩸⫘⪩⨒∯113022)⫲≸⪮(⪩⨒∯101013⋥⋵⩄⪩⨒∯101312)⊕∕(⪩⨒∯233000⇮⋭⪩⨒∯113313))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4174,"operation_count":14,"complexity_ratio":298.14285714285717,"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":4095,"base":4},"right_expr":{"type":"numeric_atoms","value":3796,"base":4}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2685,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5440,"base":4},"right_expr":{"type":"numeric_atoms","value":3045,"base":4}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4446,"base":4},"right_expr":{"type":"numeric_atoms","value":3263,"base":4}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3397,"base":4},"right_expr":{"type":"numeric_atoms","value":1482,"base":4}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1095,"base":4},"right_expr":{"type":"numeric_atoms","value":1142,"base":4}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3008,"base":4},"right_expr":{"type":"numeric_atoms","value":1527,"base":4}}}}},"used_operators":["0KMCeP1Jsh","KFSx94NKJn","mp94q5OcYM","kn8WO9XteQ","v1UQAVDJRr","kMhfGuqI2H","KYD54nUTWz","P3lXMJvFrc","HnzytWxmAO","f6k1SAg4EE","fu6greOZ01","9cloC0Ngie","7t3wd0Fuz7","vkpjKywKVM"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","EBcxylXtPf","rGHVDoGpnC","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4095","layer":4},{"info":"number node, value=3796","layer":4},{"info":"compute binary expreesion, left_input=4095, right_input=3796, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2816","layer":3},{"info":"compute unary expreesion, input=2816, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"number node, value=2685","layer":4},{"info":"compute unary expreesion, input=2685, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=5440","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=5440, right_input=3045, 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 = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, 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=4446","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=4446, right_input=3263, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7709","layer":3},{"info":"number node, value=3397","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=3397, right_input=1482, 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=-7709, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1142, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=3008","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=1527, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-473, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=113, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-116, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⨈⪑(⪩⨒∯333333⨭⪣⪩⨒∯323110))⩒⫫(⩩⪩⨒∯221331)∥⊢⊲(⪩⨒∯1111000⫥∨⫟⪩⨒∯233211))≨((⪩⨒∯1011132⪒⪩⨒∯302333)⇴∐(⪩⨒∯311011⨐⩸⫘⪩⨒∯113022)⫲≸⪮(⪩⨒∯101013⋥⋵⩄⪩⨒∯101312)⊕∕(⪩⨒∯233000⇮⋭⪩⨒∯113313))=NaN","reverse_text":"NaN=((⨈⪑(⪩⨒∯333333⨭⪣⪩⨒∯323110))⩒⫫(⩩⪩⨒∯221331)∥⊢⊲(⪩⨒∯1111000⫥∨⫟⪩⨒∯233211))≨((⪩⨒∯1011132⪒⪩⨒∯302333)⇴∐(⪩⨒∯311011⨐⩸⫘⪩⨒∯113022)⫲≸⪮(⪩⨒∯101013⋥⋵⩄⪩⨒∯101312)⊕∕(⪩⨒∯233000⇮⋭⪩⨒∯113313))","cot":[{"info":"⪩⨒∯333333⨭⪣⪩⨒∯323110=⪩⨒∯230000","layer":3},{"info":"⨈⪑⪩⨒∯230000=⪩⨒∯31210","layer":2},{"info":"⩩⪩⨒∯221331=NaN","layer":3},{"info":"⪩⨒∯1111000⫥∨⫟⪩⨒∯233211=NaN","layer":3},{"info":"NaN∥⊢⊲NaN=NaN","layer":2},{"info":"⪩⨒∯31210⩒⫫NaN=NaN","layer":1},{"info":"⪩⨒∯1011132⪒⪩⨒∯302333=⪩⨒∯-1320131","layer":3},{"info":"⪩⨒∯311011⨐⩸⫘⪩⨒∯113022=NaN","layer":3},{"info":"⪩⨒∯-1320131⇴∐NaN=⪩⨒∯-1310","layer":2},{"info":"⪩⨒∯101013⋥⋵⩄⪩⨒∯101312=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯233000⇮⋭⪩⨒∯113313=⪩⨒∯-13121","layer":3},{"info":"⪩⨒∯1301⊕∕⪩⨒∯-13121=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯-1310⫲≸⪮⪩⨒∯1301=⪩⨒∯-1310","layer":1},{"info":"NaN≨⪩⨒∯-1310=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"∷≠((⫛⫱⨽$1177$∺≝⩲$2565$)⪭≯(⨣⨃⇪(⊁⨺$3589$)))","expression":"∷≠((⫛⫱⨽⪩⨒∯102121∺≝⩲⪩⨒∯220011)⪭≯(⨣⨃⇪(⊁⨺⪩⨒∯320011)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1291,"operation_count":6,"complexity_ratio":215.16666666666666,"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":1177,"base":4},"right_expr":{"type":"numeric_atoms","value":2565,"base":4}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":3589,"base":4}}}}},"used_operators":["QiR2Oyf5Xj","XAx5wpdLa6","DlLNRPXxWL","KPf6cnQVty","AcOhelriW5","PxiHyQbrIp"],"dependent_operators":["7j4O788W3g","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rGHVDoGpnC","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1177","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=2565, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=3589","layer":4},{"info":"compute unary expreesion, input=3589, 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 = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1405, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"∷≠((⫛⫱⨽⪩⨒∯102121∺≝⩲⪩⨒∯220011)⪭≯(⨣⨃⇪(⊁⨺⪩⨒∯320011)))=NaN","reverse_text":"NaN=∷≠((⫛⫱⨽⪩⨒∯102121∺≝⩲⪩⨒∯220011)⪭≯(⨣⨃⇪(⊁⨺⪩⨒∯320011)))","cot":[{"info":"⪩⨒∯102121∺≝⩲⪩⨒∯220011=⪩⨒∯2200","layer":3},{"info":"⫛⫱⨽⪩⨒∯2200=⪩⨒∯0","layer":2},{"info":"⊁⨺⪩⨒∯320011=⪩⨒∯2200","layer":3},{"info":"⨣⨃⇪⪩⨒∯2200=⪩⨒∯111331","layer":2},{"info":"⪩⨒∯0⪭≯⪩⨒∯111331=NaN","layer":1},{"info":"∷≠NaN=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"(($2296$⋥≓≎$3664$)∌↝($1588$⪛$1572$))⇤(($3139$*$1254$)⨐⩸⫘$5884$⫥∨⫟$2233$)∷($6173$≃$2000$)⨜⨶(∟⋨$1770$)⫢⨠(⊿$1709$⩷∴$6576$)","expression":"((⪩⨒∯203320⋥≓≎⪩⨒∯321100)∌↝(⪩⨒∯120310⪛⪩⨒∯120210))⇤((⪩⨒∯301003*⪩⨒∯103212)⨐⩸⫘⪩⨒∯1123330⫥∨⫟⪩⨒∯202321)∷(⪩⨒∯1200131≃⪩⨒∯133100)⨜⨶(∟⋨⪩⨒∯123222)⫢⨠(⊿⪩⨒∯122231⩷∴⪩⨒∯1212300)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3354,"operation_count":14,"complexity_ratio":239.57142857142858,"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":2296,"base":4},"right_expr":{"type":"numeric_atoms","value":3664,"base":4}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1588,"base":4},"right_expr":{"type":"numeric_atoms","value":1572,"base":4}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3139,"base":4},"right_expr":{"type":"numeric_atoms","value":1254,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5884,"base":4},"right_expr":{"type":"numeric_atoms","value":2233,"base":4}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":6173,"base":4},"right_expr":{"type":"numeric_atoms","value":2000,"base":4}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1770,"base":4}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1709,"base":4},"right_expr":{"type":"numeric_atoms","value":6576,"base":4}}}}},"used_operators":["D3AQDKkPcf","YSKBFp38Pu","9Isq31Ruls","Qy55tPpLXF","uFcxV4UQCh","fu6greOZ01","9HNa5Wba9A","KYD54nUTWz","xlXykHWxX1","HiPekx5b7W","YbVcJGFEVW","ctOc4cKSDt","DO4fhlbJSI","9FxExcQeMw"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z"],"result":"⪩⨒∯12201101202","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2296","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3664, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5065","layer":3},{"info":"number node, value=1588","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=1572, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=16","layer":3},{"info":"compute binary expreesion, left_input=5065, right_input=16, 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":"number node, value=3139","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=3139, right_input=1254, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3936306","layer":3},{"info":"number node, value=5884","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=5884, right_input=2233, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3936306, 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 binary expreesion, left_input=0, right_input=nan, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"number node, value=6173","layer":4},{"info":"number node, value=2000","layer":4},{"info":"compute binary expreesion, left_input=6173, right_input=2000, 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=-24732","layer":3},{"info":"number node, value=1770","layer":4},{"info":"compute unary expreesion, input=1770, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1286","layer":3},{"info":"compute binary expreesion, left_input=-24732, right_input=-1286, 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=-254253","layer":2},{"info":"number node, value=1709","layer":4},{"info":"number node, value=6576","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=6576, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9766","layer":3},{"info":"compute unary expreesion, input=-9766, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=40450","layer":2},{"info":"compute binary expreesion, left_input=-254253, right_input=40450, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=1709154","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1709154, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1709154","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯203320⋥≓≎⪩⨒∯321100)∌↝(⪩⨒∯120310⪛⪩⨒∯120210))⇤((⪩⨒∯301003*⪩⨒∯103212)⨐⩸⫘⪩⨒∯1123330⫥∨⫟⪩⨒∯202321)∷(⪩⨒∯1200131≃⪩⨒∯133100)⨜⨶(∟⋨⪩⨒∯123222)⫢⨠(⊿⪩⨒∯122231⩷∴⪩⨒∯1212300)=⪩⨒∯12201101202","reverse_text":"⪩⨒∯12201101202=((⪩⨒∯203320⋥≓≎⪩⨒∯321100)∌↝(⪩⨒∯120310⪛⪩⨒∯120210))⇤((⪩⨒∯301003*⪩⨒∯103212)⨐⩸⫘⪩⨒∯1123330⫥∨⫟⪩⨒∯202321)∷(⪩⨒∯1200131≃⪩⨒∯133100)⨜⨶(∟⋨⪩⨒∯123222)⫢⨠(⊿⪩⨒∯122231⩷∴⪩⨒∯1212300)","cot":[{"info":"⪩⨒∯203320⋥≓≎⪩⨒∯321100=⪩⨒∯1033021","layer":3},{"info":"⪩⨒∯120310⪛⪩⨒∯120210=⪩⨒∯100","layer":3},{"info":"⪩⨒∯1033021∌↝⪩⨒∯100=⪩⨒∯0","layer":2},{"info":"⪩⨒∯301003*⪩⨒∯103212=⪩⨒∯33001000302","layer":3},{"info":"⪩⨒∯1123330⫥∨⫟⪩⨒∯202321=NaN","layer":3},{"info":"⪩⨒∯33001000302⨐⩸⫘NaN=NaN","layer":2},{"info":"⪩⨒∯0⇤NaN=NaN","layer":1},{"info":"⪩⨒∯1200131≃⪩⨒∯133100=⪩⨒∯-12002130","layer":3},{"info":"∟⋨⪩⨒∯123222=⪩⨒∯-110012","layer":3},{"info":"⪩⨒∯-12002130⨜⨶⪩⨒∯-110012=⪩⨒∯-332010231","layer":2},{"info":"⪩⨒∯122231⩷∴⪩⨒∯1212300=⪩⨒∯-2120212","layer":3},{"info":"⊿⪩⨒∯-2120212=⪩⨒∯21320002","layer":2},{"info":"⪩⨒∯-332010231⫢⨠⪩⨒∯21320002=⪩⨒∯12201101202","layer":1},{"info":"NaN∷⪩⨒∯12201101202=⪩⨒∯12201101202","layer":0}]}
{"id":226,"expression_no_base_symbol":"(($1449$⫢⨠$1782$)⨜⨶($2772$≦≮≮)∕⩚$1336$⊉≛↸$1110$≬⋮$4536$⇴∐$1668$)⨚⇆($4936$⇣⩺⋵$1189$)⪬(≱⇩⩕$5156$)⪥(($1613$↬⩅∪)⇍⊗($3742$∀⇚≩$1924$))","expression":"((⪩⨒∯112221⫢⨠⪩⨒∯123312)⨜⨶(⪩⨒∯223110≦≮≮)∕⩚⪩⨒∯110320⊉≛↸⪩⨒∯101112≬⋮⪩⨒∯1012320⇴∐⪩⨒∯122010)⨚⇆(⪩⨒∯1031020⇣⩺⋵⪩⨒∯102211)⪬(≱⇩⩕⪩⨒∯1100210)⪥((⪩⨒∯121031↬⩅∪)⇍⊗(⪩⨒∯322132∀⇚≩⪩⨒∯132010))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30497,"operation_count":15,"complexity_ratio":2033.1333333333334,"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":1449,"base":4},"right_expr":{"type":"numeric_atoms","value":1782,"base":4}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2772,"base":4}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1336,"base":4},"right_expr":{"type":"numeric_atoms","value":1110,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":4536,"base":4},"right_expr":{"type":"numeric_atoms","value":1668,"base":4}}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":4936,"base":4},"right_expr":{"type":"numeric_atoms","value":1189,"base":4}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":5156,"base":4}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":1613,"base":4}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3742,"base":4},"right_expr":{"type":"numeric_atoms","value":1924,"base":4}}}}},"used_operators":["lwHaAYXP2r","z9ffQ9n5Zr","HiPekx5b7W","xlXykHWxX1","D4vGDi5EA2","kbkesczE7y","DZ8iAZOCBD","HnzytWxmAO","QbnwKVWMIQ","Ez1Nq5fNfI","F4yD0voBRQ","3DZMoQKiUl","5uvYHDjeKN","VJ330n2nnx","LRNGc0VcxI"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1449","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=1782, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2772","layer":4},{"info":"compute unary expreesion, input=2772, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8316","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-8316, 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=-47513","layer":2},{"info":"number node, value=1336","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=1110, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2672","layer":3},{"info":"number node, value=4536","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=4536, right_input=1668, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2672, 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=-47513, 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=4936","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=4936, right_input=1189, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=5156","layer":4},{"info":"compute unary expreesion, input=5156, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=113, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1613","layer":4},{"info":"compute unary expreesion, input=1613, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-4839","layer":3},{"info":"number node, value=3742","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=3742, right_input=1924, 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=-4839, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9588","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=9588, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯112221⫢⨠⪩⨒∯123312)⨜⨶(⪩⨒∯223110≦≮≮)∕⩚⪩⨒∯110320⊉≛↸⪩⨒∯101112≬⋮⪩⨒∯1012320⇴∐⪩⨒∯122010)⨚⇆(⪩⨒∯1031020⇣⩺⋵⪩⨒∯102211)⪬(≱⇩⩕⪩⨒∯1100210)⪥((⪩⨒∯121031↬⩅∪)⇍⊗(⪩⨒∯322132∀⇚≩⪩⨒∯132010))=NaN","reverse_text":"NaN=((⪩⨒∯112221⫢⨠⪩⨒∯123312)⨜⨶(⪩⨒∯223110≦≮≮)∕⩚⪩⨒∯110320⊉≛↸⪩⨒∯101112≬⋮⪩⨒∯1012320⇴∐⪩⨒∯122010)⨚⇆(⪩⨒∯1031020⇣⩺⋵⪩⨒∯102211)⪬(≱⇩⩕⪩⨒∯1100210)⪥((⪩⨒∯121031↬⩅∪)⇍⊗(⪩⨒∯322132∀⇚≩⪩⨒∯132010))","cot":[{"info":"⪩⨒∯112221⫢⨠⪩⨒∯123312=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯223110≦≮≮=⪩⨒∯-2001330","layer":3},{"info":"⪩⨒∯2200⨜⨶⪩⨒∯-2001330=⪩⨒∯-23212121","layer":2},{"info":"⪩⨒∯110320⊉≛↸⪩⨒∯101112=⪩⨒∯221300","layer":3},{"info":"⪩⨒∯1012320⇴∐⪩⨒∯122010=NaN","layer":3},{"info":"⪩⨒∯221300≬⋮NaN=NaN","layer":2},{"info":"⪩⨒∯-23212121∕⩚NaN=⪩⨒∯-13213","layer":1},{"info":"⪩⨒∯1031020⇣⩺⋵⪩⨒∯102211=⪩⨒∯-10010","layer":3},{"info":"≱⇩⩕⪩⨒∯1100210=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯-10010⪬⪩⨒∯1301=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯121031↬⩅∪=⪩⨒∯-1023213","layer":3},{"info":"⪩⨒∯322132∀⇚≩⪩⨒∯132010=NaN","layer":3},{"info":"⪩⨒∯-1023213⇍⊗NaN=NaN","layer":2},{"info":"⪩⨒∯103102⪥NaN=⪩⨒∯2111310","layer":1},{"info":"⪩⨒∯-13213⨚⇆⪩⨒∯2111310=NaN","layer":0}]}
{"id":227,"expression_no_base_symbol":"⊆⋠((↞≼$1413$)⪭≯($3188$∪⫐$6824$)⨐⩸⫘(⩩($5105$⋻⩜⩜$1858$)))","expression":"⊆⋠((↞≼⪩⨒∯112011)⪭≯(⪩⨒∯301310∪⫐⪩⨒∯1222220)⨐⩸⫘(⩩(⪩⨒∯1033301⋻⩜⩜⪩⨒∯131002)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":37401,"operation_count":7,"complexity_ratio":5343.0,"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":1413,"base":4}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":3188,"base":4},"right_expr":{"type":"numeric_atoms","value":6824,"base":4}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5105,"base":4},"right_expr":{"type":"numeric_atoms","value":1858,"base":4}}}}},"used_operators":["EBhcHTkKd8","fu6greOZ01","XAx5wpdLa6","DE7zCoGJt9","7YooWSwCyH","kMhfGuqI2H","oDCm7WA9JY"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","3ViojmjbAp","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","rJVOvQCfKK","2DDjHMKMc0","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⪩⨒∯332023","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1413","layer":4},{"info":"compute unary expreesion, input=1413, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=10890","layer":3},{"info":"number node, value=3188","layer":4},{"info":"number node, value=6824","layer":4},{"info":"compute binary expreesion, left_input=3188, right_input=6824, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3188","layer":3},{"info":"compute binary expreesion, left_input=10890, right_input=3188, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=5105","layer":4},{"info":"number node, value=1858","layer":4},{"info":"compute binary expreesion, left_input=5105, right_input=1858, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10210","layer":3},{"info":"compute unary expreesion, input=10210, 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 = 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":"compute unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":0}],"base":4,"result_base":4,"text":"⊆⋠((↞≼⪩⨒∯112011)⪭≯(⪩⨒∯301310∪⫐⪩⨒∯1222220)⨐⩸⫘(⩩(⪩⨒∯1033301⋻⩜⩜⪩⨒∯131002)))=⪩⨒∯332023","reverse_text":"⪩⨒∯332023=⊆⋠((↞≼⪩⨒∯112011)⪭≯(⪩⨒∯301310∪⫐⪩⨒∯1222220)⨐⩸⫘(⩩(⪩⨒∯1033301⋻⩜⩜⪩⨒∯131002)))","cot":[{"info":"↞≼⪩⨒∯112011=⪩⨒∯2222022","layer":3},{"info":"⪩⨒∯301310∪⫐⪩⨒∯1222220=⪩⨒∯301310","layer":3},{"info":"⪩⨒∯2222022⪭≯⪩⨒∯301310=NaN","layer":2},{"info":"⪩⨒∯1033301⋻⩜⩜⪩⨒∯131002=⪩⨒∯2133202","layer":3},{"info":"⩩⪩⨒∯2133202=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⊆⋠NaN=⪩⨒∯332023","layer":0}]}
{"id":228,"expression_no_base_symbol":"∑⇻≧(⇜⊴$2303$⨸$1073$⩍⋽⫝̸(∨∊⋏$5459$))","expression":"∑⇻≧(⇜⊴⪩⨒∯203333⨸⪩⨒∯100301⩍⋽⫝̸(∨∊⋏⪩⨒∯1111103))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2573,"operation_count":5,"complexity_ratio":514.6,"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":2303,"base":4},"right_expr":{"type":"numeric_atoms","value":1073,"base":4}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":5459,"base":4}}}}},"used_operators":["l1M9WJ3V7u","XwDhCwWbUn","BiWNJpBvwn","KmoU8R5UQR","R5aXW34M0v"],"dependent_operators":["23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","Ph9nP6C5qx","xUOZtlo3hN","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⪩⨒∯1221022101130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2303","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=2303, right_input=1073, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=4606","layer":3},{"info":"number node, value=5459","layer":4},{"info":"compute unary expreesion, input=5459, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=117815","layer":3},{"info":"compute binary expreesion, left_input=4606, right_input=117815, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=116869","layer":2},{"info":"compute unary expreesion, input=116869, 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=-27567370","layer":1},{"info":"compute unary expreesion, input=-27567370, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=27567196","layer":0}],"base":4,"result_base":4,"text":"∑⇻≧(⇜⊴⪩⨒∯203333⨸⪩⨒∯100301⩍⋽⫝̸(∨∊⋏⪩⨒∯1111103))=⪩⨒∯1221022101130","reverse_text":"⪩⨒∯1221022101130=∑⇻≧(⇜⊴⪩⨒∯203333⨸⪩⨒∯100301⩍⋽⫝̸(∨∊⋏⪩⨒∯1111103))","cot":[{"info":"⪩⨒∯203333⨸⪩⨒∯100301=⪩⨒∯1013332","layer":3},{"info":"∨∊⋏⪩⨒∯1111103=⪩⨒∯130300313","layer":3},{"info":"⪩⨒∯1013332⩍⋽⫝̸⪩⨒∯130300313=⪩⨒∯130202011","layer":2},{"info":"⇜⊴⪩⨒∯130202011=⪩⨒∯-1221022110022","layer":1},{"info":"∑⇻≧⪩⨒∯-1221022110022=⪩⨒∯1221022101130","layer":0}]}
{"id":229,"expression_no_base_symbol":"($1129$∥⊢⊲$3974$⪚(⩩$1357$))⇤(⊑(→⩰$7475$))⩢≌","expression":"(⪩⨒∯101221∥⊢⊲⪩⨒∯332012⪚(⩩⪩⨒∯111031))⇤(⊑(→⩰⪩⨒∯1310303))⩢≌","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10838,"operation_count":7,"complexity_ratio":1548.2857142857142,"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":1129,"base":4},"right_expr":{"type":"numeric_atoms","value":3974,"base":4}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1357,"base":4}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":7475,"base":4}}}}},"used_operators":["D617RFjZIq","YSKBFp38Pu","HrjLwUk87U","v1UQAVDJRr","kMhfGuqI2H","IkUmn0D7oy","o8Pngz0Tml"],"dependent_operators":["hTbEZDJLEm","o20kRiQErp","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","EBcxylXtPf","rGHVDoGpnC","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"⪩⨒∯1301","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"number node, value=3974","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=3974, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1357","layer":4},{"info":"compute unary expreesion, input=1357, 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 = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"number node, value=7475","layer":4},{"info":"compute unary expreesion, input=7475, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯101221∥⊢⊲⪩⨒∯332012⪚(⩩⪩⨒∯111031))⇤(⊑(→⩰⪩⨒∯1310303))⩢≌=⪩⨒∯1301","reverse_text":"⪩⨒∯1301=(⪩⨒∯101221∥⊢⊲⪩⨒∯332012⪚(⩩⪩⨒∯111031))⇤(⊑(→⩰⪩⨒∯1310303))⩢≌","cot":[{"info":"⪩⨒∯101221∥⊢⊲⪩⨒∯332012=NaN","layer":3},{"info":"⩩⪩⨒∯111031=NaN","layer":3},{"info":"NaN⪚NaN=NaN","layer":2},{"info":"→⩰⪩⨒∯1310303=NaN","layer":3},{"info":"⊑NaN=⪩⨒∯3000","layer":2},{"info":"NaN⇤⪩⨒∯3000=NaN","layer":1},{"info":"NaN⩢≌=⪩⨒∯1301","layer":0}]}
{"id":230,"expression_no_base_symbol":"((-$3306$)⨐($1322$⋐⇩⊬)⪓⨏)↓(⇘($1441$⩹$7540$)⫁($1555$↸$7095$))","expression":"((-⪩⨒∯303222)⨐(⪩⨒∯110222⋐⇩⊬)⪓⨏)↓(⇘(⪩⨒∯112201⩹⪩⨒∯1311310)⫁(⪩⨒∯120103↸⪩⨒∯1232313))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9099,"operation_count":9,"complexity_ratio":1011.0,"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":3306,"base":4}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":1322,"base":4}}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1441,"base":4},"right_expr":{"type":"numeric_atoms","value":7540,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1555,"base":4},"right_expr":{"type":"numeric_atoms","value":7095,"base":4}}}}},"used_operators":["Af076pWI7l","4X9JU4Jbn6","Noe24qw2ks","t8gj7n24qd","JuuLT1NoCs","MGuIdZPyUC","0ajvFaJAv0","2Wsdkap16l","1eCjFl0mb9"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"⪩⨒∯-2012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3306","layer":4},{"info":"compute unary expreesion, input=3306, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3306","layer":3},{"info":"number node, value=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1322","layer":3},{"info":"compute binary expreesion, left_input=-3306, right_input=1322, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=6612","layer":2},{"info":"compute unary expreesion, input=6612, 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=1441","layer":4},{"info":"number node, value=7540","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=7540, 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=7538","layer":3},{"info":"number node, value=1555","layer":4},{"info":"number node, value=7095","layer":4},{"info":"compute binary expreesion, left_input=1555, right_input=7095, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1555","layer":3},{"info":"compute binary expreesion, left_input=7538, right_input=1555, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-869647","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-869647, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":0}],"base":4,"result_base":4,"text":"((-⪩⨒∯303222)⨐(⪩⨒∯110222⋐⇩⊬)⪓⨏)↓(⇘(⪩⨒∯112201⩹⪩⨒∯1311310)⫁(⪩⨒∯120103↸⪩⨒∯1232313))=⪩⨒∯-2012","reverse_text":"⪩⨒∯-2012=((-⪩⨒∯303222)⨐(⪩⨒∯110222⋐⇩⊬)⪓⨏)↓(⇘(⪩⨒∯112201⩹⪩⨒∯1311310)⫁(⪩⨒∯120103↸⪩⨒∯1232313))","cot":[{"info":"-⪩⨒∯303222=⪩⨒∯-303222","layer":3},{"info":"⪩⨒∯110222⋐⇩⊬=⪩⨒∯110222","layer":3},{"info":"⪩⨒∯-303222⨐⪩⨒∯110222=⪩⨒∯1213110","layer":2},{"info":"⪩⨒∯1213110⪓⨏=NaN","layer":1},{"info":"⪩⨒∯112201⩹⪩⨒∯1311310=⪩⨒∯1311302","layer":3},{"info":"⪩⨒∯120103↸⪩⨒∯1232313=⪩⨒∯120103","layer":3},{"info":"⪩⨒∯1311302⫁⪩⨒∯120103=⪩⨒∯2200","layer":2},{"info":"⇘⪩⨒∯2200=⪩⨒∯-3110110033","layer":1},{"info":"NaN↓⪩⨒∯-3110110033=⪩⨒∯-2012","layer":0}]}
{"id":231,"expression_no_base_symbol":"($6260$∓⋝$1307$⇣⩺⋵$2029$∺≝⩲$6012$)⪝($7680$∌$3548$⪭($3246$⨒$2488$))⊹∫⫚(↞≼(⋠∜$1249$))≴⪞⇿(($2422$⪒$6570$)⇽⩪)","expression":"(⪩⨒∯1201310∓⋝⪩⨒∯110123⇣⩺⋵⪩⨒∯133231∺≝⩲⪩⨒∯1131330)⪝(⪩⨒∯1320000∌⪩⨒∯313130⪭(⪩⨒∯302232⨒⪩⨒∯212320))⊹∫⫚(↞≼(⋠∜⪩⨒∯103201))≴⪞⇿((⪩⨒∯211312⪒⪩⨒∯1212222)⇽⩪)","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":58208,"operation_count":13,"complexity_ratio":4477.538461538462,"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":6260,"base":4},"right_expr":{"type":"numeric_atoms","value":1307,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2029,"base":4},"right_expr":{"type":"numeric_atoms","value":6012,"base":4}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":7680,"base":4},"right_expr":{"type":"numeric_atoms","value":3548,"base":4}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3246,"base":4},"right_expr":{"type":"numeric_atoms","value":2488,"base":4}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":1249,"base":4}}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2422,"base":4},"right_expr":{"type":"numeric_atoms","value":6570,"base":4}}}}},"used_operators":["uWAJUKEvyW","wicAB68Tmb","F4yD0voBRQ","PoHhknlbAi","KPf6cnQVty","j9kHMeSvPp","8cLx32lpNA","y75s1iXyHd","lvlrscuwVU","DE7zCoGJt9","ZJpFhNJr3x","FonBHBYJbU","f6k1SAg4EE"],"dependent_operators":["BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","COABgblf1C","xUOZtlo3hN","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6260","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=6260, right_input=1307, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2029","layer":4},{"info":"number node, value=6012","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=6012, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=7680","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=7680, right_input=3548, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-3548","layer":3},{"info":"number node, value=3246","layer":4},{"info":"number node, value=2488","layer":4},{"info":"compute binary expreesion, left_input=3246, right_input=2488, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-19104","layer":3},{"info":"compute binary expreesion, left_input=-3548, right_input=-19104, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=3374","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=3374, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":1},{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=7280","layer":3},{"info":"compute unary expreesion, input=7280, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=57826","layer":2},{"info":"number node, value=2422","layer":4},{"info":"number node, value=6570","layer":4},{"info":"compute binary expreesion, left_input=2422, right_input=6570, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8992","layer":3},{"info":"compute unary expreesion, input=-8992, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=17474","layer":2},{"info":"compute binary expreesion, left_input=57826, right_input=17474, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=237, right_input=inf, 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":4,"result_base":4,"text":"(⪩⨒∯1201310∓⋝⪩⨒∯110123⇣⩺⋵⪩⨒∯133231∺≝⩲⪩⨒∯1131330)⪝(⪩⨒∯1320000∌⪩⨒∯313130⪭(⪩⨒∯302232⨒⪩⨒∯212320))⊹∫⫚(↞≼(⋠∜⪩⨒∯103201))≴⪞⇿((⪩⨒∯211312⪒⪩⨒∯1212222)⇽⩪)=NaN","reverse_text":"NaN=(⪩⨒∯1201310∓⋝⪩⨒∯110123⇣⩺⋵⪩⨒∯133231∺≝⩲⪩⨒∯1131330)⪝(⪩⨒∯1320000∌⪩⨒∯313130⪭(⪩⨒∯302232⨒⪩⨒∯212320))⊹∫⫚(↞≼(⋠∜⪩⨒∯103201))≴⪞⇿((⪩⨒∯211312⪒⪩⨒∯1212222)⇽⩪)","cot":[{"info":"⪩⨒∯1201310∓⋝⪩⨒∯110123=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯133231∺≝⩲⪩⨒∯1131330=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1003⇣⩺⋵⪩⨒∯2200=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯1320000∌⪩⨒∯313130=⪩⨒∯-313130","layer":3},{"info":"⪩⨒∯302232⨒⪩⨒∯212320=⪩⨒∯-10222200","layer":3},{"info":"⪩⨒∯-313130⪭⪩⨒∯-10222200=⪩⨒∯310232","layer":2},{"info":"⪩⨒∯-10010⪝⪩⨒∯310232=⪩⨒∯3231","layer":1},{"info":"⋠∜⪩⨒∯103201=⪩⨒∯1301300","layer":3},{"info":"↞≼⪩⨒∯1301300=⪩⨒∯32013202","layer":2},{"info":"⪩⨒∯211312⪒⪩⨒∯1212222=⪩⨒∯-2030200","layer":3},{"info":"⪩⨒∯-2030200⇽⩪=⪩⨒∯10101002","layer":2},{"info":"⪩⨒∯32013202≴⪞⇿⪩⨒∯10101002=Inf","layer":1},{"info":"⪩⨒∯3231⊹∫⫚Inf=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"((⩰$1040$⨽∌$1535$)∲⫓$3903$≎⊠⪸$4756$⋥≓≎($1856$⪒$1900$))∌(($4184$⪄$2461$)↢(∡$1201$)⩹$3859$↓$1871$⋻⩜⩜(⫎≠⋺$7191$))","expression":"((⩰⪩⨒∯100100⨽∌⪩⨒∯113333)∲⫓⪩⨒∯330333≎⊠⪸⪩⨒∯1022110⋥≓≎(⪩⨒∯131000⪒⪩⨒∯131230))∌((⪩⨒∯1001120⪄⪩⨒∯212131)↢(∡⪩⨒∯102301)⩹⪩⨒∯330103↓⪩⨒∯131033⋻⩜⩜(⫎≠⋺⪩⨒∯1300113))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26993,"operation_count":14,"complexity_ratio":1928.0714285714287,"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":1040,"base":4},"right_expr":{"type":"numeric_atoms","value":1535,"base":4}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3903,"base":4},"right_expr":{"type":"numeric_atoms","value":4756,"base":4}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1856,"base":4},"right_expr":{"type":"numeric_atoms","value":1900,"base":4}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4184,"base":4},"right_expr":{"type":"numeric_atoms","value":2461,"base":4}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":1201,"base":4}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3859,"base":4},"right_expr":{"type":"numeric_atoms","value":1871,"base":4}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":7191,"base":4}}}}},"used_operators":["8cLx32lpNA","i8ToyICDmI","WkeUrDK8WX","9samAPKr6k","Qy55tPpLXF","bJkvcejdHO","f6k1SAg4EE","2Wsdkap16l","WR6HLWljOP","SUmda5xLS4","pRsWfj4Fpp","oDCm7WA9JY","Af076pWI7l","LYeZOJ0nQG"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"⪩⨒∯-33220","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1535, 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 = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1000","layer":2},{"info":"number node, value=3903","layer":4},{"info":"number node, value=4756","layer":4},{"info":"compute binary expreesion, left_input=3903, right_input=4756, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1010404","layer":3},{"info":"number node, value=1856","layer":4},{"info":"number node, value=1900","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=1900, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3756","layer":3},{"info":"compute binary expreesion, left_input=1010404, right_input=-3756, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1017883","layer":2},{"info":"compute binary expreesion, left_input=-1000, right_input=-1017883, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1000","layer":1},{"info":"number node, value=4184","layer":4},{"info":"number node, value=2461","layer":4},{"info":"compute binary expreesion, left_input=4184, right_input=2461, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-625165","layer":3},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1201","layer":3},{"info":"compute binary expreesion, left_input=-625165, right_input=-1201, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-1252732","layer":2},{"info":"number node, value=3859","layer":4},{"info":"number node, value=1871","layer":4},{"info":"compute binary expreesion, left_input=3859, right_input=1871, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=7191","layer":4},{"info":"compute unary expreesion, input=7191, 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=-134, 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":2},{"info":"compute binary expreesion, left_input=-1252732, 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":"compute binary expreesion, left_input=-1000, right_input=-2, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1000","layer":0}],"base":4,"result_base":4,"text":"((⩰⪩⨒∯100100⨽∌⪩⨒∯113333)∲⫓⪩⨒∯330333≎⊠⪸⪩⨒∯1022110⋥≓≎(⪩⨒∯131000⪒⪩⨒∯131230))∌((⪩⨒∯1001120⪄⪩⨒∯212131)↢(∡⪩⨒∯102301)⩹⪩⨒∯330103↓⪩⨒∯131033⋻⩜⩜(⫎≠⋺⪩⨒∯1300113))=⪩⨒∯-33220","reverse_text":"⪩⨒∯-33220=((⩰⪩⨒∯100100⨽∌⪩⨒∯113333)∲⫓⪩⨒∯330333≎⊠⪸⪩⨒∯1022110⋥≓≎(⪩⨒∯131000⪒⪩⨒∯131230))∌((⪩⨒∯1001120⪄⪩⨒∯212131)↢(∡⪩⨒∯102301)⩹⪩⨒∯330103↓⪩⨒∯131033⋻⩜⩜(⫎≠⋺⪩⨒∯1300113))","cot":[{"info":"⪩⨒∯100100⨽∌⪩⨒∯113333=⪩⨒∯0","layer":3},{"info":"⩰⪩⨒∯0=⪩⨒∯-33220","layer":2},{"info":"⪩⨒∯330333≎⊠⪸⪩⨒∯1022110=⪩⨒∯3312223210","layer":3},{"info":"⪩⨒∯131000⪒⪩⨒∯131230=⪩⨒∯-322230","layer":3},{"info":"⪩⨒∯3312223210⋥≓≎⪩⨒∯-322230=⪩⨒∯-3320200123","layer":2},{"info":"⪩⨒∯-33220∲⫓⪩⨒∯-3320200123=⪩⨒∯-33220","layer":1},{"info":"⪩⨒∯1001120⪄⪩⨒∯212131=⪩⨒∯-2120220031","layer":3},{"info":"∡⪩⨒∯102301=⪩⨒∯-102301","layer":3},{"info":"⪩⨒∯-2120220031↢⪩⨒∯-102301=⪩⨒∯-10301311330","layer":2},{"info":"⪩⨒∯330103↓⪩⨒∯131033=⪩⨒∯-2012","layer":3},{"info":"⫎≠⋺⪩⨒∯1300113=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2012⋻⩜⩜⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-10301311330⩹⪩⨒∯0=⪩⨒∯-2","layer":1},{"info":"⪩⨒∯-33220∌⪩⨒∯-2=⪩⨒∯-33220","layer":0}]}
{"id":233,"expression_no_base_symbol":"($2275$⨂≜$1701$⊍⩺⋍($1224$⊬⫿⊭))⩖⊿((⨝⨆$3531$)≒∊$4206$⨂≜$4474$)∑⇟⊟(($4773$⨰$1268$⫸⇳$2445$⋳⪒$4329$)≥⨤⩑(≘$2587$)⊱⇼⊻($2808$⪮%⊝$1617$))","expression":"(⪩⨒∯203203⨂≜⪩⨒∯122211⊍⩺⋍(⪩⨒∯103020⊬⫿⊭))⩖⊿((⨝⨆⪩⨒∯313023)≒∊⪩⨒∯1001232⨂≜⪩⨒∯1011322)∑⇟⊟((⪩⨒∯1022211⨰⪩⨒∯103310⫸⇳⪩⨒∯212031⋳⪒⪩⨒∯1003221)≥⨤⩑(≘⪩⨒∯220123)⊱⇼⊻(⪩⨒∯223320⪮%⊝⪩⨒∯121101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7067,"operation_count":15,"complexity_ratio":471.1333333333333,"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":2275,"base":4},"right_expr":{"type":"numeric_atoms","value":1701,"base":4}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":1224,"base":4}}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":3531,"base":4}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4206,"base":4},"right_expr":{"type":"numeric_atoms","value":4474,"base":4}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4773,"base":4},"right_expr":{"type":"numeric_atoms","value":1268,"base":4}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2445,"base":4},"right_expr":{"type":"numeric_atoms","value":4329,"base":4}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":2587,"base":4}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2808,"base":4},"right_expr":{"type":"numeric_atoms","value":1617,"base":4}}}}},"used_operators":["U7g4x0WXJJ","RZ5CV9rWsJ","OXDGMFPWZM","k1SHOSEABc","v0DYgG9ikt","5KTvxBwnZo","bQ67fsrMVf","gJLn6v0xnP","gx7XJ7hdpj","eewbuw0ToL","12rbrZMWeM","FyVja0WsTP","tcjXMdvYtA","IWmyXbctLI"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","tifHPKVTfV","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2275","layer":4},{"info":"number node, value=1701","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=1701, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-3672","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3672, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=3531","layer":4},{"info":"compute unary expreesion, input=3531, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=3322","layer":3},{"info":"number node, value=4206","layer":4},{"info":"number node, value=4474","layer":4},{"info":"compute binary expreesion, left_input=4206, right_input=4474, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3322, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"number node, value=4773","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=4773, right_input=1268, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3515","layer":3},{"info":"number node, value=2445","layer":4},{"info":"number node, value=4329","layer":4},{"info":"compute binary expreesion, left_input=2445, right_input=4329, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=274","layer":3},{"info":"compute binary expreesion, left_input=3515, right_input=274, 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":"number node, value=2587","layer":4},{"info":"compute unary expreesion, input=2587, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=5705119","layer":3},{"info":"number node, value=2808","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=2808, right_input=1617, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5932","layer":3},{"info":"compute binary expreesion, left_input=5705119, right_input=5932, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=434, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯203203⨂≜⪩⨒∯122211⊍⩺⋍(⪩⨒∯103020⊬⫿⊭))⩖⊿((⨝⨆⪩⨒∯313023)≒∊⪩⨒∯1001232⨂≜⪩⨒∯1011322)∑⇟⊟((⪩⨒∯1022211⨰⪩⨒∯103310⫸⇳⪩⨒∯212031⋳⪒⪩⨒∯1003221)≥⨤⩑(≘⪩⨒∯220123)⊱⇼⊻(⪩⨒∯223320⪮%⊝⪩⨒∯121101))=NaN","reverse_text":"NaN=(⪩⨒∯203203⨂≜⪩⨒∯122211⊍⩺⋍(⪩⨒∯103020⊬⫿⊭))⩖⊿((⨝⨆⪩⨒∯313023)≒∊⪩⨒∯1001232⨂≜⪩⨒∯1011322)∑⇟⊟((⪩⨒∯1022211⨰⪩⨒∯103310⫸⇳⪩⨒∯212031⋳⪒⪩⨒∯1003221)≥⨤⩑(≘⪩⨒∯220123)⊱⇼⊻(⪩⨒∯223320⪮%⊝⪩⨒∯121101))","cot":[{"info":"⪩⨒∯203203⨂≜⪩⨒∯122211=NaN","layer":3},{"info":"⪩⨒∯103020⊬⫿⊭=⪩⨒∯-321120","layer":3},{"info":"NaN⊍⩺⋍⪩⨒∯-321120=NaN","layer":2},{"info":"⨝⨆⪩⨒∯313023=⪩⨒∯303322","layer":3},{"info":"⪩⨒∯1001232⨂≜⪩⨒∯1011322=NaN","layer":3},{"info":"⪩⨒∯303322≒∊NaN=NaN","layer":2},{"info":"NaN⩖⊿NaN=NaN","layer":1},{"info":"⪩⨒∯1022211⨰⪩⨒∯103310=⪩⨒∯312323","layer":3},{"info":"⪩⨒∯212031⋳⪒⪩⨒∯1003221=⪩⨒∯10102","layer":3},{"info":"⪩⨒∯312323⫸⇳⪩⨒∯10102=⪩⨒∯0","layer":2},{"info":"≘⪩⨒∯220123=⪩⨒∯111300312133","layer":3},{"info":"⪩⨒∯223320⪮%⊝⪩⨒∯121101=⪩⨒∯1130230","layer":3},{"info":"⪩⨒∯111300312133⊱⇼⊻⪩⨒∯1130230=⪩⨒∯12302","layer":2},{"info":"⪩⨒∯0≥⨤⩑⪩⨒∯12302=⪩⨒∯103102","layer":1},{"info":"NaN∑⇟⊟⪩⨒∯103102=NaN","layer":0}]}
{"id":234,"expression_no_base_symbol":"($1584$⨳⩥⨓$4576$⊉≛↸($1056$⊭↱$1846$))⪶≀⋏($4277$⨻⩈⩔$5123$⫠↝⫳)∑⇟⊟(($1311$⨶)*$1031$⊹∫⫚$1057$)⨻⩈⩔(($8774$∙∹∝$5182$)⫰⋱(≱⇩⩕$4456$))","expression":"(⪩⨒∯120300⨳⩥⨓⪩⨒∯1013200⊉≛↸(⪩⨒∯100200⊭↱⪩⨒∯130312))⪶≀⋏(⪩⨒∯1002311⨻⩈⩔⪩⨒∯1100003⫠↝⫳)∑⇟⊟((⪩⨒∯110133⨶)*⪩⨒∯100013⊹∫⫚⪩⨒∯100201)⨻⩈⩔((⪩⨒∯2021012∙∹∝⪩⨒∯1100332)⫰⋱(≱⇩⩕⪩⨒∯1011220))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":289820,"operation_count":14,"complexity_ratio":20701.428571428572,"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":1584,"base":4},"right_expr":{"type":"numeric_atoms","value":4576,"base":4}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1056,"base":4},"right_expr":{"type":"numeric_atoms","value":1846,"base":4}}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4277,"base":4},"right_expr":{"type":"numeric_atoms","value":5123,"base":4}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1311,"base":4}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1031,"base":4},"right_expr":{"type":"numeric_atoms","value":1057,"base":4}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":8774,"base":4},"right_expr":{"type":"numeric_atoms","value":5182,"base":4}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":4456,"base":4}}}}},"used_operators":["U7g4x0WXJJ","zR4jO40bMj","DZ8iAZOCBD","nCS4ZIUYfx","COABgblf1C","8n5YIzOsVS","nEsXyWgiOK","9HNa5Wba9A","rFxw8gIMmB","uWAJUKEvyW","6o9Blt3TJ6","HmxsFra2vL","3DZMoQKiUl"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","f6k1SAg4EE","Qy55tPpLXF","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=4576","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=4576, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2992","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=1846","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1846, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1585","layer":3},{"info":"compute binary expreesion, left_input=2992, right_input=1585, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5984","layer":2},{"info":"number node, value=4277","layer":4},{"info":"number node, value=5123","layer":4},{"info":"compute binary expreesion, left_input=4277, right_input=5123, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=25815","layer":3},{"info":"compute unary expreesion, input=25815, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=826703","layer":2},{"info":"compute binary expreesion, left_input=5984, right_input=826703, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-1671590","layer":1},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=876","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=1057","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1057, 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":3},{"info":"compute binary expreesion, left_input=876, right_input=-128, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-112128","layer":2},{"info":"number node, value=8774","layer":4},{"info":"number node, value=5182","layer":4},{"info":"compute binary expreesion, left_input=8774, right_input=5182, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4456","layer":4},{"info":"compute unary expreesion, input=4456, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=113, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=33","layer":2},{"info":"compute binary expreesion, left_input=-112128, right_input=33, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=-1671590, right_input=-174, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯120300⨳⩥⨓⪩⨒∯1013200⊉≛↸(⪩⨒∯100200⊭↱⪩⨒∯130312))⪶≀⋏(⪩⨒∯1002311⨻⩈⩔⪩⨒∯1100003⫠↝⫳)∑⇟⊟((⪩⨒∯110133⨶)*⪩⨒∯100013⊹∫⫚⪩⨒∯100201)⨻⩈⩔((⪩⨒∯2021012∙∹∝⪩⨒∯1100332)⫰⋱(≱⇩⩕⪩⨒∯1011220))=NaN","reverse_text":"NaN=(⪩⨒∯120300⨳⩥⨓⪩⨒∯1013200⊉≛↸(⪩⨒∯100200⊭↱⪩⨒∯130312))⪶≀⋏(⪩⨒∯1002311⨻⩈⩔⪩⨒∯1100003⫠↝⫳)∑⇟⊟((⪩⨒∯110133⨶)*⪩⨒∯100013⊹∫⫚⪩⨒∯100201)⨻⩈⩔((⪩⨒∯2021012∙∹∝⪩⨒∯1100332)⫰⋱(≱⇩⩕⪩⨒∯1011220))","cot":[{"info":"⪩⨒∯120300⨳⩥⨓⪩⨒∯1013200=⪩⨒∯232300","layer":3},{"info":"⪩⨒∯100200⊭↱⪩⨒∯130312=⪩⨒∯120301","layer":3},{"info":"⪩⨒∯232300⊉≛↸⪩⨒∯120301=⪩⨒∯1131200","layer":2},{"info":"⪩⨒∯1002311⨻⩈⩔⪩⨒∯1100003=⪩⨒∯12103113","layer":3},{"info":"⪩⨒∯12103113⫠↝⫳=⪩⨒∯3021311033","layer":2},{"info":"⪩⨒∯1131200⪶≀⋏⪩⨒∯3021311033=⪩⨒∯-12120012212","layer":1},{"info":"⪩⨒∯110133⨶=⪩⨒∯31230","layer":3},{"info":"⪩⨒∯100013⊹∫⫚⪩⨒∯100201=⪩⨒∯-2000","layer":3},{"info":"⪩⨒∯31230*⪩⨒∯-2000=⪩⨒∯-123120000","layer":2},{"info":"⪩⨒∯2021012∙∹∝⪩⨒∯1100332=⪩⨒∯0","layer":3},{"info":"≱⇩⩕⪩⨒∯1011220=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯0⫰⋱⪩⨒∯1301=⪩⨒∯201","layer":2},{"info":"⪩⨒∯-123120000⨻⩈⩔⪩⨒∯201=⪩⨒∯-2232","layer":1},{"info":"⪩⨒∯-12120012212∑⇟⊟⪩⨒∯-2232=NaN","layer":0}]}
{"id":235,"expression_no_base_symbol":"(↘($1341$⊲⩕⊾$1500$))⩖⊿($1231$⇡⇂$3788$+$2753$∑⇟⊟$1491$)⇌⫙⪟(⩪∧⨌($1294$⨎$2185$*$1031$⨒$2862$))","expression":"(↘(⪩⨒∯110331⊲⩕⊾⪩⨒∯113130))⩖⊿(⪩⨒∯103033⇡⇂⪩⨒∯323030+⪩⨒∯223001∑⇟⊟⪩⨒∯113103)⇌⫙⪟(⩪∧⨌(⪩⨒∯110032⨎⪩⨒∯202021*⪩⨒∯100013⨒⪩⨒∯230232))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23533,"operation_count":11,"complexity_ratio":2139.3636363636365,"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":4},"right_expr":{"type":"numeric_atoms","value":1500,"base":4}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1231,"base":4},"right_expr":{"type":"numeric_atoms","value":3788,"base":4}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2753,"base":4},"right_expr":{"type":"numeric_atoms","value":1491,"base":4}}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1294,"base":4},"right_expr":{"type":"numeric_atoms","value":2185,"base":4}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1031,"base":4},"right_expr":{"type":"numeric_atoms","value":2862,"base":4}}}}},"used_operators":["AFVx7xoS7T","RZ5CV9rWsJ","LdNpr8hQHL","DmTXOeWf9t","W4YGzv6Whe","UMwdvZNt44","U7g4x0WXJJ","6iOiAJX1F8","9HNa5Wba9A","rJVOvQCfKK","y75s1iXyHd"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","uFcxV4UQCh","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1341","layer":4},{"info":"number node, value=1500","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1500, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-33086","layer":3},{"info":"compute unary expreesion, input=-33086, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=234","layer":2},{"info":"number node, value=1231","layer":4},{"info":"number node, value=3788","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=3788, 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=2753","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=1491, 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=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=234, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"number node, value=1294","layer":4},{"info":"number node, value=2185","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=2185, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2185","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2862, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-5814","layer":3},{"info":"compute binary expreesion, left_input=2185, right_input=-5814, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-12703590","layer":2},{"info":"compute unary expreesion, input=-12703590, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-127035900","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-127035900, 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":4,"result_base":4,"text":"(↘(⪩⨒∯110331⊲⩕⊾⪩⨒∯113130))⩖⊿(⪩⨒∯103033⇡⇂⪩⨒∯323030+⪩⨒∯223001∑⇟⊟⪩⨒∯113103)⇌⫙⪟(⩪∧⨌(⪩⨒∯110032⨎⪩⨒∯202021*⪩⨒∯100013⨒⪩⨒∯230232))=NaN","reverse_text":"NaN=(↘(⪩⨒∯110331⊲⩕⊾⪩⨒∯113130))⩖⊿(⪩⨒∯103033⇡⇂⪩⨒∯323030+⪩⨒∯223001∑⇟⊟⪩⨒∯113103)⇌⫙⪟(⩪∧⨌(⪩⨒∯110032⨎⪩⨒∯202021*⪩⨒∯100013⨒⪩⨒∯230232))","cot":[{"info":"⪩⨒∯110331⊲⩕⊾⪩⨒∯113130=⪩⨒∯-20010332","layer":3},{"info":"↘⪩⨒∯-20010332=⪩⨒∯3222","layer":2},{"info":"⪩⨒∯103033⇡⇂⪩⨒∯323030=NaN","layer":3},{"info":"⪩⨒∯223001∑⇟⊟⪩⨒∯113103=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⪩⨒∯3222⩖⊿NaN=NaN","layer":1},{"info":"⪩⨒∯110032⨎⪩⨒∯202021=⪩⨒∯202021","layer":3},{"info":"⪩⨒∯100013⨒⪩⨒∯230232=⪩⨒∯-1122312","layer":3},{"info":"⪩⨒∯202021*⪩⨒∯-1122312=⪩⨒∯-300131131212","layer":2},{"info":"⩪∧⨌⪩⨒∯-300131131212=⪩⨒∯-13210212213330","layer":1},{"info":"NaN⇌⫙⪟⪩⨒∯-13210212213330=NaN","layer":0}]}
{"id":236,"expression_no_base_symbol":"(((⨵$3102$)⪡($2551$⊘))⇌⫙⪟(⨵≀≌$1127$⪡$1797$))↓(($2227$⪥$5735$)⪎↠($1318$⋅⇍$1981$)⩇∃⫛($4653$⨔≚≋$3826$≬⇓($2221$↡⊰⫅$1557$)))","expression":"(((⨵⪩⨒∯300132)⪡(⪩⨒∯213313⊘))⇌⫙⪟(⨵≀≌⪩⨒∯101213⪡⪩⨒∯130011))↓((⪩⨒∯202303⪥⪩⨒∯1121213)⪎↠(⪩⨒∯110212⋅⇍⪩⨒∯132331)⩇∃⫛(⪩⨒∯1020231⨔≚≋⪩⨒∯323302≬⇓(⪩⨒∯202231↡⊰⫅⪩⨒∯120111)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26509,"operation_count":14,"complexity_ratio":1893.5,"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":3102,"base":4}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2551,"base":4}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":1127,"base":4},"right_expr":{"type":"numeric_atoms","value":1797,"base":4}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2227,"base":4},"right_expr":{"type":"numeric_atoms","value":5735,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":1318,"base":4},"right_expr":{"type":"numeric_atoms","value":1981,"base":4}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4653,"base":4},"right_expr":{"type":"numeric_atoms","value":3826,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2221,"base":4},"right_expr":{"type":"numeric_atoms","value":1557,"base":4}}}}},"used_operators":["Af076pWI7l","AFVx7xoS7T","oraRL2iQuh","Tl3Y52tvF8","gu96TGCTMs","srAu1WTS94","1aApVXNlOP","3tVxb0NHM4","QbnwKVWMIQ","AdZkA7nFnk","jWTQ2TZYIH","Z57zeUYC9z","VCtxkLNOzz"],"dependent_operators":["nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⪩⨒∯1000110","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3102","layer":4},{"info":"compute unary expreesion, input=3102, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-26025","layer":3},{"info":"number node, value=2551","layer":4},{"info":"compute unary expreesion, input=2551, 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=-26025, right_input=0, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=53018","layer":2},{"info":"number node, value=1127","layer":4},{"info":"number node, value=1797","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1797, 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 = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=11449","layer":2},{"info":"compute binary expreesion, left_input=53018, right_input=11449, 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=2227","layer":4},{"info":"number node, value=5735","layer":4},{"info":"compute binary expreesion, left_input=2227, right_input=5735, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13560","layer":3},{"info":"number node, value=1318","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=1981, 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=13560, right_input=-22, 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=4653","layer":4},{"info":"number node, value=3826","layer":4},{"info":"compute binary expreesion, left_input=4653, right_input=3826, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2221","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=1557, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=3114","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=3114, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=160, 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=291","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=291, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=4116","layer":0}],"base":4,"result_base":4,"text":"(((⨵⪩⨒∯300132)⪡(⪩⨒∯213313⊘))⇌⫙⪟(⨵≀≌⪩⨒∯101213⪡⪩⨒∯130011))↓((⪩⨒∯202303⪥⪩⨒∯1121213)⪎↠(⪩⨒∯110212⋅⇍⪩⨒∯132331)⩇∃⫛(⪩⨒∯1020231⨔≚≋⪩⨒∯323302≬⇓(⪩⨒∯202231↡⊰⫅⪩⨒∯120111)))=⪩⨒∯1000110","reverse_text":"⪩⨒∯1000110=(((⨵⪩⨒∯300132)⪡(⪩⨒∯213313⊘))⇌⫙⪟(⨵≀≌⪩⨒∯101213⪡⪩⨒∯130011))↓((⪩⨒∯202303⪥⪩⨒∯1121213)⪎↠(⪩⨒∯110212⋅⇍⪩⨒∯132331)⩇∃⫛(⪩⨒∯1020231⨔≚≋⪩⨒∯323302≬⇓(⪩⨒∯202231↡⊰⫅⪩⨒∯120111)))","cot":[{"info":"⨵⪩⨒∯300132=⪩⨒∯-12112221","layer":3},{"info":"⪩⨒∯213313⊘=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-12112221⪡⪩⨒∯0=⪩⨒∯30330122","layer":2},{"info":"⪩⨒∯101213⪡⪩⨒∯130011=⪩⨒∯1223","layer":3},{"info":"⨵≀≌⪩⨒∯1223=⪩⨒∯2302321","layer":2},{"info":"⪩⨒∯30330122⇌⫙⪟⪩⨒∯2302321=⪩⨒∯1301","layer":1},{"info":"⪩⨒∯202303⪥⪩⨒∯1121213=⪩⨒∯3103320","layer":3},{"info":"⪩⨒∯110212⋅⇍⪩⨒∯132331=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯3103320⪎↠⪩⨒∯-112=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1020231⨔≚≋⪩⨒∯323302=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯202231↡⊰⫅⪩⨒∯120111=⪩⨒∯300222","layer":3},{"info":"⪩⨒∯2122100≬⇓⪩⨒∯300222=⪩⨒∯-112","layer":2},{"info":"⪩⨒∯2200⩇∃⫛⪩⨒∯-112=⪩⨒∯10203","layer":1},{"info":"⪩⨒∯1301↓⪩⨒∯10203=⪩⨒∯1000110","layer":0}]}
{"id":237,"expression_no_base_symbol":"⊥(($1281$⫢⨠$3161$)⪛$6145$⊮⊟↴$3191$)⋹⋡⊁(⫡⇟⇯($1055$⊋≦⊧$2960$))","expression":"⊥((⪩⨒∯110001⫢⨠⪩⨒∯301121)⪛⪩⨒∯1200001⊮⊟↴⪩⨒∯301313)⋹⋡⊁(⫡⇟⇯(⪩⨒∯100133⊋≦⊧⪩⨒∯232100))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":62669,"operation_count":7,"complexity_ratio":8952.714285714286,"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":1281,"base":4},"right_expr":{"type":"numeric_atoms","value":3161,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":6145,"base":4},"right_expr":{"type":"numeric_atoms","value":3191,"base":4}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1055,"base":4},"right_expr":{"type":"numeric_atoms","value":2960,"base":4}}}}},"used_operators":["Q3PJZHRvZv","As8RqfVLgs","uFcxV4UQCh","xlXykHWxX1","QDVgd2eftb","qWUSsah53b","oRDoc9rAEX"],"dependent_operators":["fu6greOZ01","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DZ8iAZOCBD","P8v4zCKN1o","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1281","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=3161, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=6145","layer":4},{"info":"number node, value=3191","layer":4},{"info":"compute binary expreesion, left_input=6145, right_input=3191, 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=160, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=2960","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=2960, 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=-3775","layer":3},{"info":"compute unary expreesion, input=-3775, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4643","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4643, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5393","layer":1},{"info":"compute unary expreesion, input=5393, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⊥((⪩⨒∯110001⫢⨠⪩⨒∯301121)⪛⪩⨒∯1200001⊮⊟↴⪩⨒∯301313)⋹⋡⊁(⫡⇟⇯(⪩⨒∯100133⊋≦⊧⪩⨒∯232100))=NaN","reverse_text":"NaN=⊥((⪩⨒∯110001⫢⨠⪩⨒∯301121)⪛⪩⨒∯1200001⊮⊟↴⪩⨒∯301313)⋹⋡⊁(⫡⇟⇯(⪩⨒∯100133⊋≦⊧⪩⨒∯232100))","cot":[{"info":"⪩⨒∯110001⫢⨠⪩⨒∯301121=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1200001⊮⊟↴⪩⨒∯301313=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2200⪛⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯100133⊋≦⊧⪩⨒∯232100=⪩⨒∯-322333","layer":3},{"info":"⫡⇟⇯⪩⨒∯-322333=⪩⨒∯1020203","layer":2},{"info":"NaN⋹⋡⊁⪩⨒∯1020203=⪩⨒∯1110101","layer":1},{"info":"⊥⪩⨒∯1110101=NaN","layer":0}]}
{"id":238,"expression_no_base_symbol":"⋃($3125$⨚$1378$⫃⨇$2199$↡⊰⫅$2831$)⨼⩣($5609$⪔$6399$⪁$5411$⇼⇔∾$1178$)","expression":"⋃(⪩⨒∯300311⨚⪩⨒∯111202⫃⨇⪩⨒∯202113↡⊰⫅⪩⨒∯230033)⨼⩣(⪩⨒∯1113221⪔⪩⨒∯1203333⪁⪩⨒∯1110203⇼⇔∾⪩⨒∯102122)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":205421654,"operation_count":8,"complexity_ratio":25677706.75,"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":3125,"base":4},"right_expr":{"type":"numeric_atoms","value":1378,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2199,"base":4},"right_expr":{"type":"numeric_atoms","value":2831,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":5609,"base":4},"right_expr":{"type":"numeric_atoms","value":6399,"base":4}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":5411,"base":4},"right_expr":{"type":"numeric_atoms","value":1178,"base":4}}}}},"used_operators":["3mBM5G4a3l","JxwMv5le6e","09Ly4LVMIf","nREPSIbpBE","VCtxkLNOzz","I7sXao9hZE","GjBEYRfMaF","tifHPKVTfV"],"dependent_operators":["g55IO6H4Gj","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","BjRHVeLaeN","12rbrZMWeM","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3125","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=3125, right_input=1378, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1672","layer":3},{"info":"number node, value=2199","layer":4},{"info":"number node, value=2831","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=2831, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5662","layer":3},{"info":"compute binary expreesion, left_input=1672, right_input=5662, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-22680","layer":2},{"info":"number node, value=5609","layer":4},{"info":"number node, value=6399","layer":4},{"info":"compute binary expreesion, left_input=5609, right_input=6399, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=5411","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=5411, right_input=1178, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4233","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-4233, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22680, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(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":4,"result_base":4,"text":"⋃(⪩⨒∯300311⨚⪩⨒∯111202⫃⨇⪩⨒∯202113↡⊰⫅⪩⨒∯230033)⨼⩣(⪩⨒∯1113221⪔⪩⨒∯1203333⪁⪩⨒∯1110203⇼⇔∾⪩⨒∯102122)=NaN","reverse_text":"NaN=⋃(⪩⨒∯300311⨚⪩⨒∯111202⫃⨇⪩⨒∯202113↡⊰⫅⪩⨒∯230033)⨼⩣(⪩⨒∯1113221⪔⪩⨒∯1203333⪁⪩⨒∯1110203⇼⇔∾⪩⨒∯102122)","cot":[{"info":"⪩⨒∯300311⨚⪩⨒∯111202=⪩⨒∯122020","layer":3},{"info":"⪩⨒∯202113↡⊰⫅⪩⨒∯230033=⪩⨒∯1120132","layer":3},{"info":"⪩⨒∯122020⫃⨇⪩⨒∯1120132=⪩⨒∯-11202120","layer":2},{"info":"⪩⨒∯1113221⪔⪩⨒∯1203333=⪩⨒∯13002","layer":3},{"info":"⪩⨒∯1110203⇼⇔∾⪩⨒∯102122=⪩⨒∯-1002021","layer":3},{"info":"⪩⨒∯13002⪁⪩⨒∯-1002021=NaN","layer":2},{"info":"⪩⨒∯-11202120⨼⩣NaN=NaN","layer":1},{"info":"⋃NaN=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(-(→⩰(⨆≐≲$2951$)))/(≋(∨∊⋏$6578$)⇻⋧≁($1610$⨵⪆$2903$))","expression":"(-(→⩰(⨆≐≲⪩⨒∯232013)))/(≋(∨∊⋏⪩⨒∯1212302)⇻⋧≁(⪩⨒∯121022⨵⪆⪩⨒∯231113))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":145265,"operation_count":8,"complexity_ratio":18158.125,"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":2951,"base":4}}}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":6578,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1610,"base":4},"right_expr":{"type":"numeric_atoms","value":2903,"base":4}}}}},"used_operators":["XhwjNDsVaA","t8gj7n24qd","o8Pngz0Tml","Bi9z9uYZqW","61wBmkZwlr","jCPkEVoL5K","R5aXW34M0v","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","7j4O788W3g","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2951","layer":4},{"info":"compute unary expreesion, input=2951, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=31962264","layer":3},{"info":"compute unary expreesion, input=31962264, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', 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=6578","layer":4},{"info":"compute unary expreesion, input=6578, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=144671","layer":3},{"info":"number node, value=1610","layer":4},{"info":"number node, value=2903","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=2903, 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=144671, right_input=160, 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 unary expreesion, input=-447, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-447, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(-(→⩰(⨆≐≲⪩⨒∯232013)))/(≋(∨∊⋏⪩⨒∯1212302)⇻⋧≁(⪩⨒∯121022⨵⪆⪩⨒∯231113))=NaN","reverse_text":"NaN=(-(→⩰(⨆≐≲⪩⨒∯232013)))/(≋(∨∊⋏⪩⨒∯1212302)⇻⋧≁(⪩⨒∯121022⨵⪆⪩⨒∯231113))","cot":[{"info":"⨆≐≲⪩⨒∯232013=⪩⨒∯1321323102120","layer":3},{"info":"→⩰⪩⨒∯1321323102120=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"∨∊⋏⪩⨒∯1212302=⪩⨒∯203110133","layer":3},{"info":"⪩⨒∯121022⨵⪆⪩⨒∯231113=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯203110133⇻⋧≁⪩⨒∯2200=⪩⨒∯-12333","layer":2},{"info":"≋⪩⨒∯-12333=⪩⨒∯-12333","layer":1},{"info":"NaN/⪩⨒∯-12333=NaN","layer":0}]}
{"id":240,"expression_no_base_symbol":"(⩷($1211$⪥$1351$)≴⪞⇿($3775$∴$1582$))⊋($1094$∁)↤⩊($6154$⫯⪬∳$1814$)∊∟⩊($1336$⪪$1067$⊹∫⫚($1458$⨵⪆$1276$))","expression":"(⩷(⪩⨒∯102323⪥⪩⨒∯111013)≴⪞⇿(⪩⨒∯322333∴⪩⨒∯120232))⊋(⪩⨒∯101012∁)↤⩊(⪩⨒∯1200022⫯⪬∳⪩⨒∯130112)∊∟⩊(⪩⨒∯110320⪪⪩⨒∯100223⊹∫⫚(⪩⨒∯112302⨵⪆⪩⨒∯103330))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13682,"operation_count":12,"complexity_ratio":1140.1666666666667,"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":1211,"base":4},"right_expr":{"type":"numeric_atoms","value":1351,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3775,"base":4},"right_expr":{"type":"numeric_atoms","value":1582,"base":4}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1094,"base":4}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6154,"base":4},"right_expr":{"type":"numeric_atoms","value":1814,"base":4}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1336,"base":4},"right_expr":{"type":"numeric_atoms","value":1067,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1458,"base":4},"right_expr":{"type":"numeric_atoms","value":1276,"base":4}}}}},"used_operators":["W4tP9CfskL","1h0rLqGiFr","lvlrscuwVU","QbnwKVWMIQ","hrf7POJlIJ","ddLRYrp01A","13rbtpv6ld","jdwGQqwJi5","d7ASUq0ydm","uWAJUKEvyW","xD69zh8xqp","2DQ55sFlQl"],"dependent_operators":["2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","2DDjHMKMc0","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1211","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=1351, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=9496","layer":3},{"info":"number node, value=3775","layer":4},{"info":"number node, value=1582","layer":4},{"info":"compute binary expreesion, left_input=3775, right_input=1582, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9198","layer":3},{"info":"compute binary expreesion, left_input=9496, right_input=9198, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=170127692","layer":2},{"info":"compute unary expreesion, input=170127692, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-2041532383","layer":1},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1094","layer":3},{"info":"number node, value=6154","layer":4},{"info":"number node, value=1814","layer":4},{"info":"compute binary expreesion, left_input=6154, right_input=1814, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=28989","layer":3},{"info":"compute binary expreesion, left_input=1094, right_input=28989, 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=1336","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=1067, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-197825","layer":3},{"info":"number node, value=1458","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=1276, 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=-197825, right_input=160, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-152","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-152, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2041532383, 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":4,"result_base":4,"text":"(⩷(⪩⨒∯102323⪥⪩⨒∯111013)≴⪞⇿(⪩⨒∯322333∴⪩⨒∯120232))⊋(⪩⨒∯101012∁)↤⩊(⪩⨒∯1200022⫯⪬∳⪩⨒∯130112)∊∟⩊(⪩⨒∯110320⪪⪩⨒∯100223⊹∫⫚(⪩⨒∯112302⨵⪆⪩⨒∯103330))=NaN","reverse_text":"NaN=(⩷(⪩⨒∯102323⪥⪩⨒∯111013)≴⪞⇿(⪩⨒∯322333∴⪩⨒∯120232))⊋(⪩⨒∯101012∁)↤⩊(⪩⨒∯1200022⫯⪬∳⪩⨒∯130112)∊∟⩊(⪩⨒∯110320⪪⪩⨒∯100223⊹∫⫚(⪩⨒∯112302⨵⪆⪩⨒∯103330))","cot":[{"info":"⪩⨒∯102323⪥⪩⨒∯111013=⪩⨒∯2110120","layer":3},{"info":"⪩⨒∯322333∴⪩⨒∯120232=⪩⨒∯2033232","layer":3},{"info":"⪩⨒∯2110120≴⪞⇿⪩⨒∯2033232=⪩⨒∯22020333011030","layer":2},{"info":"⩷⪩⨒∯22020333011030=⪩⨒∯-1321223310333133","layer":1},{"info":"⪩⨒∯101012∁=⪩⨒∯101012","layer":3},{"info":"⪩⨒∯1200022⫯⪬∳⪩⨒∯130112=⪩⨒∯13010331","layer":3},{"info":"⪩⨒∯101012↤⩊⪩⨒∯13010331=NaN","layer":2},{"info":"⪩⨒∯110320⪪⪩⨒∯100223=⪩⨒∯-300103001","layer":3},{"info":"⪩⨒∯112302⨵⪆⪩⨒∯103330=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-300103001⊹∫⫚⪩⨒∯2200=⪩⨒∯-2120","layer":2},{"info":"NaN∊∟⩊⪩⨒∯-2120=NaN","layer":1},{"info":"⪩⨒∯-1321223310333133⊋NaN=NaN","layer":0}]}
{"id":241,"expression_no_base_symbol":"((⊢≑≆($2911$⨪↰⇹$4175$))≠≀(↡$4295$)∥⊢⊲($6918$⨫⇇↔$1352$))⫯⪬∳(($1115$⨜⨶$1236$)⨿($2380$≀⫉$3495$)⨽($3286$⨂≜$2016$∠⫱$5161$⫸⇳$4503$))","expression":"((⊢≑≆(⪩⨒∯231133⨪↰⇹⪩⨒∯1001033))≠≀(↡⪩⨒∯1003013)∥⊢⊲(⪩⨒∯1230012⨫⇇↔⪩⨒∯111020))⫯⪬∳((⪩⨒∯101123⨜⨶⪩⨒∯103110)⨿(⪩⨒∯211030≀⫉⪩⨒∯312213)⨽(⪩⨒∯303112⨂≜⪩⨒∯133200∠⫱⪩⨒∯1100221⫸⇳⪩⨒∯1012113))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16242,"operation_count":14,"complexity_ratio":1160.142857142857,"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":2911,"base":4},"right_expr":{"type":"numeric_atoms","value":4175,"base":4}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":4295,"base":4}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":6918,"base":4},"right_expr":{"type":"numeric_atoms","value":1352,"base":4}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1115,"base":4},"right_expr":{"type":"numeric_atoms","value":1236,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2380,"base":4},"right_expr":{"type":"numeric_atoms","value":3495,"base":4}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3286,"base":4},"right_expr":{"type":"numeric_atoms","value":2016,"base":4}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5161,"base":4},"right_expr":{"type":"numeric_atoms","value":4503,"base":4}}}}},"used_operators":["d7ASUq0ydm","IwW236VD4Y","27wFxooxGf","tmPS8pqC7x","v1UQAVDJRr","MXaNJeIAZ3","LXhwmt4mBO","8HhzD0ZcuI","abYXlopdE0","HiPekx5b7W","oZj3VtZNQx","QvoQhV0rrE","k1SHOSEABc","gx7XJ7hdpj"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","rJVOvQCfKK","EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"⪩⨒∯20311102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2911","layer":4},{"info":"number node, value=4175","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=4175, 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=2911","layer":3},{"info":"compute unary expreesion, input=2911, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=12096","layer":2},{"info":"number node, value=4295","layer":4},{"info":"compute unary expreesion, input=4295, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=38655","layer":3},{"info":"number node, value=6918","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=6918, right_input=1352, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=38655, right_input=-527, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=12096, right_input=0, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-12217","layer":1},{"info":"number node, value=1115","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1236, 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=-2216","layer":3},{"info":"number node, value=2380","layer":4},{"info":"number node, value=3495","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=3495, 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=-2216, right_input=2822, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=3286","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=3286, right_input=2016, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5161","layer":4},{"info":"number node, value=4503","layer":4},{"info":"compute binary expreesion, left_input=5161, right_input=4503, 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=nan, right_input=0, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-12217, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=36178","layer":0}],"base":4,"result_base":4,"text":"((⊢≑≆(⪩⨒∯231133⨪↰⇹⪩⨒∯1001033))≠≀(↡⪩⨒∯1003013)∥⊢⊲(⪩⨒∯1230012⨫⇇↔⪩⨒∯111020))⫯⪬∳((⪩⨒∯101123⨜⨶⪩⨒∯103110)⨿(⪩⨒∯211030≀⫉⪩⨒∯312213)⨽(⪩⨒∯303112⨂≜⪩⨒∯133200∠⫱⪩⨒∯1100221⫸⇳⪩⨒∯1012113))=⪩⨒∯20311102","reverse_text":"⪩⨒∯20311102=((⊢≑≆(⪩⨒∯231133⨪↰⇹⪩⨒∯1001033))≠≀(↡⪩⨒∯1003013)∥⊢⊲(⪩⨒∯1230012⨫⇇↔⪩⨒∯111020))⫯⪬∳((⪩⨒∯101123⨜⨶⪩⨒∯103110)⨿(⪩⨒∯211030≀⫉⪩⨒∯312213)⨽(⪩⨒∯303112⨂≜⪩⨒∯133200∠⫱⪩⨒∯1100221⫸⇳⪩⨒∯1012113))","cot":[{"info":"⪩⨒∯231133⨪↰⇹⪩⨒∯1001033=⪩⨒∯231133","layer":3},{"info":"⊢≑≆⪩⨒∯231133=⪩⨒∯2331000","layer":2},{"info":"↡⪩⨒∯1003013=⪩⨒∯21123333","layer":3},{"info":"⪩⨒∯1230012⨫⇇↔⪩⨒∯111020=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯21123333∥⊢⊲⪩⨒∯-20033=⪩⨒∯0","layer":2},{"info":"⪩⨒∯2331000≠≀⪩⨒∯0=⪩⨒∯-2332321","layer":1},{"info":"⪩⨒∯101123⨜⨶⪩⨒∯103110=⪩⨒∯-202220","layer":3},{"info":"⪩⨒∯211030≀⫉⪩⨒∯312213=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯-202220⨿⪩⨒∯230012=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯303112⨂≜⪩⨒∯133200=NaN","layer":3},{"info":"⪩⨒∯1100221⫸⇳⪩⨒∯1012113=⪩⨒∯0","layer":3},{"info":"NaN∠⫱⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯1003⨽NaN=NaN","layer":1},{"info":"⪩⨒∯-2332321⫯⪬∳NaN=⪩⨒∯20311102","layer":0}]}
{"id":242,"expression_no_base_symbol":"(($9164$⨱∎)⪍↜⋙($1114$⋝⋈⪟$1836$)⊾⪯⋞(⨩∲⋌$4125$)⪢$5065$∥⊢⊲$3569$)+⇶⊼(($4167$∠↢$5347$)⩇∃⫛($1074$⊍⩺⋍$3820$))↳∿⪆(≻⋜($5264$⫉⨲⊜$1755$))","expression":"((⪩⨒∯2033030⨱∎)⪍↜⋙(⪩⨒∯101122⋝⋈⪟⪩⨒∯130230)⊾⪯⋞(⨩∲⋌⪩⨒∯1000131)⪢⪩⨒∯1033021∥⊢⊲⪩⨒∯313301)+⇶⊼((⪩⨒∯1001013∠↢⪩⨒∯1103203)⩇∃⫛(⪩⨒∯100302⊍⩺⋍⪩⨒∯323230))↳∿⪆(≻⋜(⪩⨒∯1102100⫉⨲⊜⪩⨒∯123123))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":3629,"operation_count":14,"complexity_ratio":259.2142857142857,"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":9164,"base":4}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1114,"base":4},"right_expr":{"type":"numeric_atoms","value":1836,"base":4}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4125,"base":4}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5065,"base":4},"right_expr":{"type":"numeric_atoms","value":3569,"base":4}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4167,"base":4},"right_expr":{"type":"numeric_atoms","value":5347,"base":4}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1074,"base":4},"right_expr":{"type":"numeric_atoms","value":3820,"base":4}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":5264,"base":4},"right_expr":{"type":"numeric_atoms","value":1755,"base":4}}}}},"used_operators":["TpPTUOHfaN","HK0tfVPux8","L05ObWFQCd","MmTdOpaElr","2DDjHMKMc0","dWAJyo7jo9","aSik1wnThz","v1UQAVDJRr","Cw4SuJJGHO","1aApVXNlOP","KbjG8mgYpV","OXDGMFPWZM","3tj9sqzovi","WhqkvtTD3t"],"dependent_operators":["AHs5Up7iyr","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","EBcxylXtPf","rGHVDoGpnC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","eewbuw0ToL","zVYPLywUTj"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=9164","layer":4},{"info":"compute unary expreesion, input=9164, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=1836","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1836, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1114","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1114, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-3011","layer":2},{"info":"number node, value=4125","layer":4},{"info":"compute unary expreesion, input=4125, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-4648","layer":3},{"info":"number node, value=5065","layer":4},{"info":"number node, value=3569","layer":4},{"info":"compute binary expreesion, left_input=5065, right_input=3569, 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=-4648, 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":"compute binary expreesion, left_input=-3011, 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=4167","layer":4},{"info":"number node, value=5347","layer":4},{"info":"compute binary expreesion, left_input=4167, right_input=5347, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-90444","layer":3},{"info":"number node, value=1074","layer":4},{"info":"number node, value=3820","layer":4},{"info":"compute binary expreesion, left_input=1074, right_input=3820, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-90444, 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=5264","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=5264, right_input=1755, 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 = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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 = 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":4,"result_base":4,"text":"((⪩⨒∯2033030⨱∎)⪍↜⋙(⪩⨒∯101122⋝⋈⪟⪩⨒∯130230)⊾⪯⋞(⨩∲⋌⪩⨒∯1000131)⪢⪩⨒∯1033021∥⊢⊲⪩⨒∯313301)+⇶⊼((⪩⨒∯1001013∠↢⪩⨒∯1103203)⩇∃⫛(⪩⨒∯100302⊍⩺⋍⪩⨒∯323230))↳∿⪆(≻⋜(⪩⨒∯1102100⫉⨲⊜⪩⨒∯123123))=NaN","reverse_text":"NaN=((⪩⨒∯2033030⨱∎)⪍↜⋙(⪩⨒∯101122⋝⋈⪟⪩⨒∯130230)⊾⪯⋞(⨩∲⋌⪩⨒∯1000131)⪢⪩⨒∯1033021∥⊢⊲⪩⨒∯313301)+⇶⊼((⪩⨒∯1001013∠↢⪩⨒∯1103203)⩇∃⫛(⪩⨒∯100302⊍⩺⋍⪩⨒∯323230))↳∿⪆(≻⋜(⪩⨒∯1102100⫉⨲⊜⪩⨒∯123123))","cot":[{"info":"⪩⨒∯2033030⨱∎=⪩⨒∯0","layer":3},{"info":"⪩⨒∯101122⋝⋈⪟⪩⨒∯130230=⪩⨒∯101122","layer":3},{"info":"⪩⨒∯0⪍↜⋙⪩⨒∯101122=⪩⨒∯-233003","layer":2},{"info":"⨩∲⋌⪩⨒∯1000131=⪩⨒∯-1020220","layer":3},{"info":"⪩⨒∯1033021∥⊢⊲⪩⨒∯313301=NaN","layer":3},{"info":"⪩⨒∯-1020220⪢NaN=NaN","layer":2},{"info":"⪩⨒∯-233003⊾⪯⋞NaN=NaN","layer":1},{"info":"⪩⨒∯1001013∠↢⪩⨒∯1103203=⪩⨒∯-112011030","layer":3},{"info":"⪩⨒∯100302⊍⩺⋍⪩⨒∯323230=NaN","layer":3},{"info":"⪩⨒∯-112011030⩇∃⫛NaN=NaN","layer":2},{"info":"⪩⨒∯1102100⫉⨲⊜⪩⨒∯123123=⪩⨒∯0","layer":3},{"info":"≻⋜⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"NaN↳∿⪆⪩⨒∯0=NaN","layer":1},{"info":"NaN+⇶⊼NaN=NaN","layer":0}]}
{"id":243,"expression_no_base_symbol":"⇋↷((($1796$⨵⪆$4250$)⨘)⪶≀⋏($4963$⪚$2800$)≎⪠($3218$≀⩗∶$2542$))","expression":"⇋↷(((⪩⨒∯130010⨵⪆⪩⨒∯1002122)⨘)⪶≀⋏(⪩⨒∯1031203⪚⪩⨒∯223300)≎⪠(⪩⨒∯302102≀⩗∶⪩⨒∯213232))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":19335,"operation_count":7,"complexity_ratio":2762.1428571428573,"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":1796,"base":4},"right_expr":{"type":"numeric_atoms","value":4250,"base":4}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":4963,"base":4},"right_expr":{"type":"numeric_atoms","value":2800,"base":4}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":3218,"base":4},"right_expr":{"type":"numeric_atoms","value":2542,"base":4}}}}},"used_operators":["SWo3A1KBJH","zR4jO40bMj","ljcfZBUpm8","2DQ55sFlQl","aNhz54LH3e","HrjLwUk87U","8INZBEW696"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","rysDP5nf3Z","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⪩⨒∯10301212000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1796","layer":4},{"info":"number node, value=4250","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=4250, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-1895","layer":2},{"info":"number node, value=4963","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=4963, right_input=2800, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3970","layer":3},{"info":"number node, value=3218","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=3218, right_input=2542, 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=3970, 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 binary expreesion, left_input=-1895, right_input=19558, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=156464","layer":1},{"info":"compute unary expreesion, input=156464, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=1251712","layer":0}],"base":4,"result_base":4,"text":"⇋↷(((⪩⨒∯130010⨵⪆⪩⨒∯1002122)⨘)⪶≀⋏(⪩⨒∯1031203⪚⪩⨒∯223300)≎⪠(⪩⨒∯302102≀⩗∶⪩⨒∯213232))=⪩⨒∯10301212000","reverse_text":"⪩⨒∯10301212000=⇋↷(((⪩⨒∯130010⨵⪆⪩⨒∯1002122)⨘)⪶≀⋏(⪩⨒∯1031203⪚⪩⨒∯223300)≎⪠(⪩⨒∯302102≀⩗∶⪩⨒∯213232))","cot":[{"info":"⪩⨒∯130010⨵⪆⪩⨒∯1002122=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2200⨘=⪩⨒∯-131213","layer":2},{"info":"⪩⨒∯1031203⪚⪩⨒∯223300=⪩⨒∯332002","layer":3},{"info":"⪩⨒∯302102≀⩗∶⪩⨒∯213232=⪩⨒∯0","layer":3},{"info":"⪩⨒∯332002≎⪠⪩⨒∯0=⪩⨒∯10301212","layer":2},{"info":"⪩⨒∯-131213⪶≀⋏⪩⨒∯10301212=⪩⨒∯212030300","layer":1},{"info":"⇋↷⪩⨒∯212030300=⪩⨒∯10301212000","layer":0}]}
{"id":244,"expression_no_base_symbol":"(⫟$5074$↡⊰⫅$1379$)⪇≇⋚(($7587$∠↢$2507$)⨽$3124$⋓$1879$)⊉≛↸($2902$≎⪠$1799$⇣⩺⋵($6851$⊍⩺⋍$3191$))∺≝⩲(($4108$⪒$1604$)≥⨤⩑$1017$↬$7811$)","expression":"(⫟⪩⨒∯1033102↡⊰⫅⪩⨒∯111203)⪇≇⋚((⪩⨒∯1312203∠↢⪩⨒∯213023)⨽⪩⨒∯300310⋓⪩⨒∯131113)⊉≛↸(⪩⨒∯231112≎⪠⪩⨒∯130013⇣⩺⋵(⪩⨒∯1223003⊍⩺⋍⪩⨒∯301313))∺≝⩲((⪩⨒∯1000030⪒⪩⨒∯121010)≥⨤⩑⪩⨒∯33321↬⪩⨒∯1322003)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":103162,"operation_count":14,"complexity_ratio":7368.714285714285,"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":5074,"base":4},"right_expr":{"type":"numeric_atoms","value":1379,"base":4}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":7587,"base":4},"right_expr":{"type":"numeric_atoms","value":2507,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3124,"base":4},"right_expr":{"type":"numeric_atoms","value":1879,"base":4}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2902,"base":4},"right_expr":{"type":"numeric_atoms","value":1799,"base":4}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":6851,"base":4},"right_expr":{"type":"numeric_atoms","value":3191,"base":4}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4108,"base":4},"right_expr":{"type":"numeric_atoms","value":1604,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1017,"base":4},"right_expr":{"type":"numeric_atoms","value":7811,"base":4}}}}},"used_operators":["DZ8iAZOCBD","3sJ7IOPOlU","z4E1FaHLuy","VCtxkLNOzz","8HhzD0ZcuI","KbjG8mgYpV","T2fj7uvVaJ","KPf6cnQVty","F4yD0voBRQ","aNhz54LH3e","OXDGMFPWZM","gJLn6v0xnP","f6k1SAg4EE","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5074","layer":4},{"info":"number node, value=1379","layer":4},{"info":"compute binary expreesion, left_input=5074, right_input=1379, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2758","layer":3},{"info":"compute unary expreesion, input=2758, 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=-7367","layer":2},{"info":"number node, value=7587","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=7587, right_input=2507, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-64364","layer":3},{"info":"number node, value=3124","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=3124, right_input=1879, 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=-64364, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute binary expreesion, left_input=-7367, right_input=-inf, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":1},{"info":"number node, value=2902","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=1799, 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=6851","layer":4},{"info":"number node, value=3191","layer":4},{"info":"compute binary expreesion, left_input=6851, right_input=3191, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=4108","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=4108, right_input=1604, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5712","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=7811","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=7811, 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=-5712, right_input=nan, 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=-260, right_input=1234, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⫟⪩⨒∯1033102↡⊰⫅⪩⨒∯111203)⪇≇⋚((⪩⨒∯1312203∠↢⪩⨒∯213023)⨽⪩⨒∯300310⋓⪩⨒∯131113)⊉≛↸(⪩⨒∯231112≎⪠⪩⨒∯130013⇣⩺⋵(⪩⨒∯1223003⊍⩺⋍⪩⨒∯301313))∺≝⩲((⪩⨒∯1000030⪒⪩⨒∯121010)≥⨤⩑⪩⨒∯33321↬⪩⨒∯1322003)=NaN","reverse_text":"NaN=(⫟⪩⨒∯1033102↡⊰⫅⪩⨒∯111203)⪇≇⋚((⪩⨒∯1312203∠↢⪩⨒∯213023)⨽⪩⨒∯300310⋓⪩⨒∯131113)⊉≛↸(⪩⨒∯231112≎⪠⪩⨒∯130013⇣⩺⋵(⪩⨒∯1223003⊍⩺⋍⪩⨒∯301313))∺≝⩲((⪩⨒∯1000030⪒⪩⨒∯121010)≥⨤⩑⪩⨒∯33321↬⪩⨒∯1322003)","cot":[{"info":"⪩⨒∯1033102↡⊰⫅⪩⨒∯111203=⪩⨒∯223012","layer":3},{"info":"⫟⪩⨒∯223012=⪩⨒∯-1303013","layer":2},{"info":"⪩⨒∯1312203∠↢⪩⨒∯213023=⪩⨒∯-33231230","layer":3},{"info":"⪩⨒∯300310⋓⪩⨒∯131113=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-33231230⨽⪩⨒∯0=-Inf","layer":2},{"info":"⪩⨒∯-1303013⪇≇⋚-Inf=NaN","layer":1},{"info":"⪩⨒∯231112≎⪠⪩⨒∯130013=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯1223003⊍⩺⋍⪩⨒∯301313=NaN","layer":3},{"info":"⪩⨒∯10301212⇣⩺⋵NaN=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯1000030⪒⪩⨒∯121010=⪩⨒∯-1121100","layer":3},{"info":"⪩⨒∯33321↬⪩⨒∯1322003=NaN","layer":3},{"info":"⪩⨒∯-1121100≥⨤⩑NaN=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯-10010∺≝⩲⪩⨒∯103102=⪩⨒∯2200","layer":1},{"info":"NaN⊉≛↸⪩⨒∯2200=NaN","layer":0}]}
{"id":245,"expression_no_base_symbol":"(($3206$⊋$6374$∙⊟(⨂⪏⇭$1048$))⊴(⩏⊷≩($1051$⪉⨛$1368$)))⫑%∭","expression":"((⪩⨒∯302012⊋⪩⨒∯1203212∙⊟(⨂⪏⇭⪩⨒∯100120))⊴(⩏⊷≩(⪩⨒∯100123⪉⨛⪩⨒∯111120)))⫑%∭","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":53284680,"operation_count":7,"complexity_ratio":7612097.142857143,"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":3206,"base":4},"right_expr":{"type":"numeric_atoms","value":6374,"base":4}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1048,"base":4}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1051,"base":4},"right_expr":{"type":"numeric_atoms","value":1368,"base":4}}}}},"used_operators":["xUx7qlDO4z","Nsiff2A1zJ","SxTAKzQCrw","W4tP9CfskL","AYdpE9sXAk","uOZ1tnYMDE","EWw2JM7wp4"],"dependent_operators":["GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","23Mk6UjR3U","12rbrZMWeM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3206","layer":4},{"info":"number node, value=6374","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=6374, 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=-157538892","layer":3},{"info":"number node, value=1048","layer":4},{"info":"compute unary expreesion, input=1048, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=2165","layer":3},{"info":"compute binary expreesion, left_input=-157538892, right_input=2165, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=2048021340","layer":2},{"info":"number node, value=1051","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=1368, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=2000","layer":3},{"info":"compute unary expreesion, input=2000, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=3699","layer":2},{"info":"compute binary expreesion, left_input=2048021340, right_input=3699, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":4,"result_base":4,"text":"((⪩⨒∯302012⊋⪩⨒∯1203212∙⊟(⨂⪏⇭⪩⨒∯100120))⊴(⩏⊷≩(⪩⨒∯100123⪉⨛⪩⨒∯111120)))⫑%∭=NaN","reverse_text":"NaN=((⪩⨒∯302012⊋⪩⨒∯1203212∙⊟(⨂⪏⇭⪩⨒∯100120))⊴(⩏⊷≩(⪩⨒∯100123⪉⨛⪩⨒∯111120)))⫑%∭","cot":[{"info":"⪩⨒∯302012⊋⪩⨒∯1203212=⪩⨒∯-21120331221030","layer":3},{"info":"⨂⪏⇭⪩⨒∯100120=⪩⨒∯201311","layer":3},{"info":"⪩⨒∯-21120331221030∙⊟⪩⨒∯201311=⪩⨒∯1322010211031130","layer":2},{"info":"⪩⨒∯100123⪉⨛⪩⨒∯111120=⪩⨒∯133100","layer":3},{"info":"⩏⊷≩⪩⨒∯133100=⪩⨒∯321303","layer":2},{"info":"⪩⨒∯1322010211031130⊴⪩⨒∯321303=NaN","layer":1},{"info":"NaN⫑%∭=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"(⪝⪂⫅($4708$⫢⨠$2769$))⨔⇊($2366$⪛$2093$⨳⩥⨓$3260$⪬$4523$)⫳≱↱(⇖($2424$≬⇓$7662$))∼(($5281$*$1873$)≀⩗∶$2837$∺≝⩲$2512$)","expression":"(⪝⪂⫅(⪩⨒∯1021210⫢⨠⪩⨒∯223101))⨔⇊(⪩⨒∯210332⪛⪩⨒∯200231⨳⩥⨓⪩⨒∯302330⪬⪩⨒∯1012223)⫳≱↱(⇖(⪩⨒∯211320≬⇓⪩⨒∯1313232))∼((⪩⨒∯1102201*⪩⨒∯131101)≀⩗∶⪩⨒∯230111∺≝⩲⪩⨒∯213100)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2784,"operation_count":13,"complexity_ratio":214.15384615384616,"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":4708,"base":4},"right_expr":{"type":"numeric_atoms","value":2769,"base":4}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2366,"base":4},"right_expr":{"type":"numeric_atoms","value":2093,"base":4}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":3260,"base":4},"right_expr":{"type":"numeric_atoms","value":4523,"base":4}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2424,"base":4},"right_expr":{"type":"numeric_atoms","value":7662,"base":4}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5281,"base":4},"right_expr":{"type":"numeric_atoms","value":1873,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2837,"base":4},"right_expr":{"type":"numeric_atoms","value":2512,"base":4}}}}},"used_operators":["ZvLB05nZmT","JclMnS0uGI","XTarYq4gQB","xlXykHWxX1","nCS4ZIUYfx","uFcxV4UQCh","Ez1Nq5fNfI","DyGG3AbaNP","tfWHHpNKUN","jWTQ2TZYIH","8INZBEW696","9HNa5Wba9A","KPf6cnQVty"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9HNa5Wba9A","8w2t5hMYqp","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2DQ55sFlQl","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⪩⨒∯-13223","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4708","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=4708, right_input=2769, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-23520","layer":2},{"info":"number node, value=2366","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=2366, right_input=2093, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=273","layer":3},{"info":"number node, value=3260","layer":4},{"info":"number node, value=4523","layer":4},{"info":"compute binary expreesion, left_input=3260, right_input=4523, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=273, right_input=1234, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=961","layer":2},{"info":"compute binary expreesion, left_input=-23520, right_input=961, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=961","layer":1},{"info":"number node, value=2424","layer":4},{"info":"number node, value=7662","layer":4},{"info":"compute binary expreesion, left_input=2424, right_input=7662, 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 = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"number node, value=5281","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=5281, right_input=1873, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9891313","layer":3},{"info":"number node, value=2837","layer":4},{"info":"number node, value=2512","layer":4},{"info":"compute binary expreesion, left_input=2837, right_input=2512, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=9891313, right_input=160, 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=160, 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":1},{"info":"compute binary expreesion, left_input=961, right_input=20, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-491","layer":0}],"base":4,"result_base":4,"text":"(⪝⪂⫅(⪩⨒∯1021210⫢⨠⪩⨒∯223101))⨔⇊(⪩⨒∯210332⪛⪩⨒∯200231⨳⩥⨓⪩⨒∯302330⪬⪩⨒∯1012223)⫳≱↱(⇖(⪩⨒∯211320≬⇓⪩⨒∯1313232))∼((⪩⨒∯1102201*⪩⨒∯131101)≀⩗∶⪩⨒∯230111∺≝⩲⪩⨒∯213100)=⪩⨒∯-13223","reverse_text":"⪩⨒∯-13223=(⪝⪂⫅(⪩⨒∯1021210⫢⨠⪩⨒∯223101))⨔⇊(⪩⨒∯210332⪛⪩⨒∯200231⨳⩥⨓⪩⨒∯302330⪬⪩⨒∯1012223)⫳≱↱(⇖(⪩⨒∯211320≬⇓⪩⨒∯1313232))∼((⪩⨒∯1102201*⪩⨒∯131101)≀⩗∶⪩⨒∯230111∺≝⩲⪩⨒∯213100)","cot":[{"info":"⪩⨒∯1021210⫢⨠⪩⨒∯223101=⪩⨒∯2200","layer":3},{"info":"⪝⪂⫅⪩⨒∯2200=⪩⨒∯-11233200","layer":2},{"info":"⪩⨒∯210332⪛⪩⨒∯200231=⪩⨒∯10101","layer":3},{"info":"⪩⨒∯302330⪬⪩⨒∯1012223=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯10101⨳⩥⨓⪩⨒∯103102=⪩⨒∯33001","layer":2},{"info":"⪩⨒∯-11233200⨔⇊⪩⨒∯33001=⪩⨒∯33001","layer":1},{"info":"⪩⨒∯211320≬⇓⪩⨒∯1313232=⪩⨒∯-112","layer":3},{"info":"⇖⪩⨒∯-112=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1102201*⪩⨒∯131101=⪩⨒∯211232313301","layer":3},{"info":"⪩⨒∯230111∺≝⩲⪩⨒∯213100=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯211232313301≀⩗∶⪩⨒∯2200=⪩⨒∯0","layer":2},{"info":"⪩⨒∯2200∼⪩⨒∯0=⪩⨒∯110","layer":1},{"info":"⪩⨒∯33001⫳≱↱⪩⨒∯110=⪩⨒∯-13223","layer":0}]}
{"id":247,"expression_no_base_symbol":"(⋗⩬⋾(⨈⪑($3971$⊓⋫)))⩦((($3139$⩠)⫃⨇($2921$⫑%∭))⊋≦⊧((↸⊣$3256$)⫲))","expression":"(⋗⩬⋾(⨈⪑(⪩⨒∯332003⊓⋫)))⩦(((⪩⨒∯301003⩠)⫃⨇(⪩⨒∯231221⫑%∭))⊋≦⊧((↸⊣⪩⨒∯302320)⫲))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1159,"operation_count":10,"complexity_ratio":115.9,"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":3971,"base":4}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3139,"base":4}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":2921,"base":4}}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3256,"base":4}}}}},"used_operators":["0kmYd0q39Y","DpFCA1CohY","mp94q5OcYM","IqGBaFP0uj","oRDoc9rAEX","09Ly4LVMIf","sJAwomhLZr","xUx7qlDO4z","9xnGDUPbC6","wztAlM01eG"],"dependent_operators":["N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3971","layer":4},{"info":"compute unary expreesion, input=3971, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-4099","layer":3},{"info":"compute unary expreesion, input=-4099, 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 = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-2604","layer":1},{"info":"number node, value=3139","layer":4},{"info":"compute unary expreesion, input=3139, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2921","layer":4},{"info":"compute unary expreesion, input=2921, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":2},{"info":"number node, value=3256","layer":4},{"info":"compute unary expreesion, input=3256, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2969","layer":3},{"info":"compute unary expreesion, input=-2969, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=5817","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5817, 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":"compute binary expreesion, left_input=-2604, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⋗⩬⋾(⨈⪑(⪩⨒∯332003⊓⋫)))⩦(((⪩⨒∯301003⩠)⫃⨇(⪩⨒∯231221⫑%∭))⊋≦⊧((↸⊣⪩⨒∯302320)⫲))=NaN","reverse_text":"NaN=(⋗⩬⋾(⨈⪑(⪩⨒∯332003⊓⋫)))⩦(((⪩⨒∯301003⩠)⫃⨇(⪩⨒∯231221⫑%∭))⊋≦⊧((↸⊣⪩⨒∯302320)⫲))","cot":[{"info":"⪩⨒∯332003⊓⋫=⪩⨒∯-1000003","layer":3},{"info":"⨈⪑⪩⨒∯-1000003=⪩⨒∯31210","layer":2},{"info":"⋗⩬⋾⪩⨒∯31210=⪩⨒∯-220230","layer":1},{"info":"⪩⨒∯301003⩠=⪩⨒∯0","layer":3},{"info":"⪩⨒∯231221⫑%∭=NaN","layer":3},{"info":"⪩⨒∯0⫃⨇NaN=NaN","layer":2},{"info":"↸⊣⪩⨒∯302320=⪩⨒∯-232121","layer":3},{"info":"⪩⨒∯-232121⫲=⪩⨒∯1122321","layer":2},{"info":"NaN⊋≦⊧⪩⨒∯1122321=NaN","layer":1},{"info":"⪩⨒∯-220230⩦NaN=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"(($3284$∕⩚$2638$)⪒⊣⊆$1217$⨔⇊$6395$+($2475$⩼⇪↪$4012$⊵↤))≝⊿(≪(⇜⊴(≛$2567$)))","expression":"((⪩⨒∯303110∕⩚⪩⨒∯221032)⪒⊣⊆⪩⨒∯103001⨔⇊⪩⨒∯1203323+(⪩⨒∯212223⩼⇪↪⪩⨒∯332230⊵↤))≝⊿(≪(⇜⊴(≛⪩⨒∯220013)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3495,"operation_count":10,"complexity_ratio":349.5,"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":3284,"base":4},"right_expr":{"type":"numeric_atoms","value":2638,"base":4}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1217,"base":4},"right_expr":{"type":"numeric_atoms","value":6395,"base":4}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2475,"base":4},"right_expr":{"type":"numeric_atoms","value":4012,"base":4}}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":2567,"base":4}}}}},"used_operators":["OKKcZfAt5B","W4YGzv6Whe","eRqsBgTDFp","z9ffQ9n5Zr","JclMnS0uGI","7IPrd9c3lf","ocnLzx9CaJ","Qtd6bqUJcN","XwDhCwWbUn","W7eaUhjymW"],"dependent_operators":["12rbrZMWeM","sdazOOVcIp","W4YGzv6Whe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C"],"result":"⪩⨒∯-220023000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3284","layer":4},{"info":"number node, value=2638","layer":4},{"info":"compute binary expreesion, left_input=3284, right_input=2638, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3287","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=6395","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=6395, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=6395","layer":3},{"info":"compute binary expreesion, left_input=-3287, right_input=6395, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=19466","layer":2},{"info":"number node, value=2475","layer":4},{"info":"number node, value=4012","layer":4},{"info":"compute binary expreesion, left_input=2475, right_input=4012, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-23917","layer":3},{"info":"compute unary expreesion, input=-23917, 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=142719","layer":2},{"info":"compute binary expreesion, left_input=19466, right_input=142719, op_id = W4YGzv6Whe binary_op_definition= 'None', output=162185","layer":1},{"info":"number node, value=2567","layer":4},{"info":"compute unary expreesion, input=2567, 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 unary expreesion, input=-10, 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=11394","layer":2},{"info":"compute unary expreesion, input=11394, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"compute binary expreesion, left_input=162185, right_input=913, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-164544","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯303110∕⩚⪩⨒∯221032)⪒⊣⊆⪩⨒∯103001⨔⇊⪩⨒∯1203323+(⪩⨒∯212223⩼⇪↪⪩⨒∯332230⊵↤))≝⊿(≪(⇜⊴(≛⪩⨒∯220013)))=⪩⨒∯-220023000","reverse_text":"⪩⨒∯-220023000=((⪩⨒∯303110∕⩚⪩⨒∯221032)⪒⊣⊆⪩⨒∯103001⨔⇊⪩⨒∯1203323+(⪩⨒∯212223⩼⇪↪⪩⨒∯332230⊵↤))≝⊿(≪(⇜⊴(≛⪩⨒∯220013)))","cot":[{"info":"⪩⨒∯303110∕⩚⪩⨒∯221032=⪩⨒∯-303113","layer":3},{"info":"⪩⨒∯103001⨔⇊⪩⨒∯1203323=⪩⨒∯1203323","layer":3},{"info":"⪩⨒∯-303113⪒⊣⊆⪩⨒∯1203323=⪩⨒∯10300022","layer":2},{"info":"⪩⨒∯212223⩼⇪↪⪩⨒∯332230=⪩⨒∯-11311231","layer":3},{"info":"⪩⨒∯-11311231⊵↤=⪩⨒∯202311333","layer":2},{"info":"⪩⨒∯10300022+⪩⨒∯202311333=⪩⨒∯213212021","layer":1},{"info":"≛⪩⨒∯220013=⪩⨒∯-22","layer":3},{"info":"⇜⊴⪩⨒∯-22=⪩⨒∯2302002","layer":2},{"info":"≪⪩⨒∯2302002=⪩⨒∯32101","layer":1},{"info":"⪩⨒∯213212021≝⊿⪩⨒∯32101=⪩⨒∯-220023000","layer":0}]}
{"id":249,"expression_no_base_symbol":"(⨴⫝($1209$⨳⩥⨓$4815$)⫣⪄⊒(↑$4402$))⊱⇼⊻(⇋⊎⋝($2120$⩠))⫗⊷⫓(($4829$∋$1996$)⨽∌($2534$↳∿⪆$4964$))","expression":"(⨴⫝(⪩⨒∯102321⨳⩥⨓⪩⨒∯1023033)⫣⪄⊒(↑⪩⨒∯1010302))⊱⇼⊻(⇋⊎⋝(⪩⨒∯201020⩠))⫗⊷⫓((⪩⨒∯1023131∋⪩⨒∯133030)⨽∌(⪩⨒∯213212↳∿⪆⪩⨒∯1031210))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4956,"operation_count":11,"complexity_ratio":450.54545454545456,"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":1209,"base":4},"right_expr":{"type":"numeric_atoms","value":4815,"base":4}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":4402,"base":4}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2120,"base":4}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":4829,"base":4},"right_expr":{"type":"numeric_atoms","value":1996,"base":4}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2534,"base":4},"right_expr":{"type":"numeric_atoms","value":4964,"base":4}}}}},"used_operators":["FyVja0WsTP","SVb2v531z1","RabNbG55vr","nCS4ZIUYfx","tR7O2zTn5j","zashukvMKz","CzM2PEoXns","sJAwomhLZr","9samAPKr6k","ukq6epAj5P","Cw4SuJJGHO"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⪩⨒∯223022212022","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1209","layer":4},{"info":"number node, value=4815","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=4815, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3606","layer":3},{"info":"number node, value=4402","layer":4},{"info":"compute unary expreesion, input=4402, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=3606, right_input=192, 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 = SVb2v531z1, unary_op_definition = '⨴⫝a = { ((⪨⨬(⇋↷a))≬⇓((a⋅⇍a)⨑≵⋬(∡178))) , if (a⪇≇⋚963)!=62 ; (((541⋛107)⩼⇪↪(⪭⩑⪱a))⋻⩜⩜((a⊕∕a)∼(459⨽6))) , else }', output=2828198","layer":1},{"info":"number node, value=2120","layer":4},{"info":"compute unary expreesion, input=2120, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=0","layer":2},{"info":"number node, value=4829","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=4829, right_input=1996, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4333148","layer":3},{"info":"number node, value=2534","layer":4},{"info":"number node, value=4964","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=4964, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4333148, 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=0, 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=2828198, right_input=-134, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=11315594","layer":0}],"base":4,"result_base":4,"text":"(⨴⫝(⪩⨒∯102321⨳⩥⨓⪩⨒∯1023033)⫣⪄⊒(↑⪩⨒∯1010302))⊱⇼⊻(⇋⊎⋝(⪩⨒∯201020⩠))⫗⊷⫓((⪩⨒∯1023131∋⪩⨒∯133030)⨽∌(⪩⨒∯213212↳∿⪆⪩⨒∯1031210))=⪩⨒∯223022212022","reverse_text":"⪩⨒∯223022212022=(⨴⫝(⪩⨒∯102321⨳⩥⨓⪩⨒∯1023033)⫣⪄⊒(↑⪩⨒∯1010302))⊱⇼⊻(⇋⊎⋝(⪩⨒∯201020⩠))⫗⊷⫓((⪩⨒∯1023131∋⪩⨒∯133030)⨽∌(⪩⨒∯213212↳∿⪆⪩⨒∯1031210))","cot":[{"info":"⪩⨒∯102321⨳⩥⨓⪩⨒∯1023033=⪩⨒∯320112","layer":3},{"info":"↑⪩⨒∯1010302=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯320112⫣⪄⊒⪩⨒∯3000=⪩⨒∯2200","layer":2},{"info":"⨴⫝⪩⨒∯2200=⪩⨒∯22302132212","layer":1},{"info":"⪩⨒∯201020⩠=⪩⨒∯0","layer":3},{"info":"⇋⊎⋝⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1023131∋⪩⨒∯133030=⪩⨒∯100201321130","layer":3},{"info":"⪩⨒∯213212↳∿⪆⪩⨒∯1031210=NaN","layer":3},{"info":"⪩⨒∯100201321130⨽∌NaN=NaN","layer":2},{"info":"⪩⨒∯0⫗⊷⫓NaN=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯22302132212⊱⇼⊻⪩⨒∯-2012=⪩⨒∯223022212022","layer":0}]}
{"id":250,"expression_no_base_symbol":"(($3475$⫌⩉⩟$1050$)⩺⪪$6627$∀⇚≩$3392$⨒(⊗(⪛⨧$7254$)))⫩⊇","expression":"((⪩⨒∯312103⫌⩉⩟⪩⨒∯100122)⩺⪪⪩⨒∯1213203∀⇚≩⪩⨒∯311000⨒(⊗(⪛⨧⪩⨒∯1301112)))⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":52925,"operation_count":7,"complexity_ratio":7560.714285714285,"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":3475,"base":4},"right_expr":{"type":"numeric_atoms","value":1050,"base":4}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6627,"base":4},"right_expr":{"type":"numeric_atoms","value":3392,"base":4}}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":7254,"base":4}}}}},"used_operators":["BjRHVeLaeN","y75s1iXyHd","uvdQJvN4PV","XIIwhv8d0m","LRNGc0VcxI","RhiyfpczSx","6NJAcO2OWT"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","X99M06cbEe","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3475","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=3475, right_input=1050, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=6627","layer":4},{"info":"number node, value=3392","layer":4},{"info":"compute binary expreesion, left_input=6627, right_input=3392, 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=-50, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":2},{"info":"number node, value=7254","layer":4},{"info":"compute unary expreesion, input=7254, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=15909","layer":3},{"info":"compute unary expreesion, input=15909, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-31818","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-31818, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯312103⫌⩉⩟⪩⨒∯100122)⩺⪪⪩⨒∯1213203∀⇚≩⪩⨒∯311000⨒(⊗(⪛⨧⪩⨒∯1301112)))⫩⊇=NaN","reverse_text":"NaN=((⪩⨒∯312103⫌⩉⩟⪩⨒∯100122)⩺⪪⪩⨒∯1213203∀⇚≩⪩⨒∯311000⨒(⊗(⪛⨧⪩⨒∯1301112)))⫩⊇","cot":[{"info":"⪩⨒∯312103⫌⩉⩟⪩⨒∯100122=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯1213203∀⇚≩⪩⨒∯311000=NaN","layer":3},{"info":"⪩⨒∯-302⩺⪪NaN=NaN","layer":2},{"info":"⪛⨧⪩⨒∯1301112=⪩⨒∯3320211","layer":3},{"info":"⊗⪩⨒∯3320211=⪩⨒∯-13301022","layer":2},{"info":"NaN⨒⪩⨒∯-13301022=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":251,"expression_no_base_symbol":"(($1170$⇉⇱⇎)≝⊿($6554$⊝⪿⪼$1034$)↡⊰⫅$5920$⨂≜$2418$⪭(⪭⩑⪱$2534$))≄⊠((⩎⋉$1561$)⨜⨶($2468$⇼⇔∾$1447$)⪡(⩷$3085$)⪢($1545$⨑≵⋬$5130$))","expression":"((⪩⨒∯102102⇉⇱⇎)≝⊿(⪩⨒∯1212122⊝⪿⪼⪩⨒∯100022)↡⊰⫅⪩⨒∯1130200⨂≜⪩⨒∯211302⪭(⪭⩑⪱⪩⨒∯213212))≄⊠((⩎⋉⪩⨒∯120121)⨜⨶(⪩⨒∯212210⇼⇔∾⪩⨒∯112213)⪡(⩷⪩⨒∯300031)⪢(⪩⨒∯120021⨑≵⋬⪩⨒∯1100022))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":257084,"operation_count":15,"complexity_ratio":17138.933333333334,"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":1170,"base":4}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6554,"base":4},"right_expr":{"type":"numeric_atoms","value":1034,"base":4}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5920,"base":4},"right_expr":{"type":"numeric_atoms","value":2418,"base":4}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2534,"base":4}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":1561,"base":4}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2468,"base":4},"right_expr":{"type":"numeric_atoms","value":1447,"base":4}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":3085,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1545,"base":4},"right_expr":{"type":"numeric_atoms","value":5130,"base":4}}}}},"used_operators":["vXNesLlMH1","VCtxkLNOzz","OKKcZfAt5B","MRPaB8lBjK","3Oe9XWJUTD","j9kHMeSvPp","k1SHOSEABc","SIgE0bArFf","oraRL2iQuh","HiPekx5b7W","FlXk3pOYe8","tifHPKVTfV","dWAJyo7jo9","1h0rLqGiFr","XnXgA4xnOs"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","12rbrZMWeM","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","COABgblf1C","xUOZtlo3hN","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⪩⨒∯113130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1170","layer":4},{"info":"compute unary expreesion, input=1170, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-952","layer":3},{"info":"number node, value=6554","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=6554, right_input=1034, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=92978","layer":3},{"info":"compute binary expreesion, left_input=-952, right_input=92978, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-185537","layer":2},{"info":"number node, value=5920","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=5920, right_input=2418, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2534","layer":4},{"info":"compute unary expreesion, input=2534, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8320752, 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=-185537, right_input=5, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10","layer":1},{"info":"number node, value=1561","layer":4},{"info":"compute unary expreesion, input=1561, 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":"number node, value=2468","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=2468, right_input=1447, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1021","layer":3},{"info":"compute binary expreesion, left_input=1650, right_input=-1021, 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=11157","layer":2},{"info":"number node, value=3085","layer":4},{"info":"compute unary expreesion, input=3085, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-37099","layer":3},{"info":"number node, value=1545","layer":4},{"info":"number node, value=5130","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=5130, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-26806","layer":3},{"info":"compute binary expreesion, left_input=-37099, right_input=-26806, 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=11157, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=10, 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":4,"result_base":4,"text":"((⪩⨒∯102102⇉⇱⇎)≝⊿(⪩⨒∯1212122⊝⪿⪼⪩⨒∯100022)↡⊰⫅⪩⨒∯1130200⨂≜⪩⨒∯211302⪭(⪭⩑⪱⪩⨒∯213212))≄⊠((⩎⋉⪩⨒∯120121)⨜⨶(⪩⨒∯212210⇼⇔∾⪩⨒∯112213)⪡(⩷⪩⨒∯300031)⪢(⪩⨒∯120021⨑≵⋬⪩⨒∯1100022))=⪩⨒∯113130","reverse_text":"⪩⨒∯113130=((⪩⨒∯102102⇉⇱⇎)≝⊿(⪩⨒∯1212122⊝⪿⪼⪩⨒∯100022)↡⊰⫅⪩⨒∯1130200⨂≜⪩⨒∯211302⪭(⪭⩑⪱⪩⨒∯213212))≄⊠((⩎⋉⪩⨒∯120121)⨜⨶(⪩⨒∯212210⇼⇔∾⪩⨒∯112213)⪡(⩷⪩⨒∯300031)⪢(⪩⨒∯120021⨑≵⋬⪩⨒∯1100022))","cot":[{"info":"⪩⨒∯102102⇉⇱⇎=⪩⨒∯-32320","layer":3},{"info":"⪩⨒∯1212122⊝⪿⪼⪩⨒∯100022=⪩⨒∯112230302","layer":3},{"info":"⪩⨒∯-32320≝⊿⪩⨒∯112230302=⪩⨒∯-231103001","layer":2},{"info":"⪩⨒∯1130200⨂≜⪩⨒∯211302=NaN","layer":3},{"info":"⪭⩑⪱⪩⨒∯213212=⪩⨒∯133233123300","layer":3},{"info":"NaN⪭⪩⨒∯133233123300=⪩⨒∯11","layer":2},{"info":"⪩⨒∯-231103001↡⊰⫅⪩⨒∯11=⪩⨒∯22","layer":1},{"info":"⩎⋉⪩⨒∯120121=⪩⨒∯121302","layer":3},{"info":"⪩⨒∯212210⇼⇔∾⪩⨒∯112213=⪩⨒∯-33331","layer":3},{"info":"⪩⨒∯121302⨜⨶⪩⨒∯-33331=⪩⨒∯2232111","layer":2},{"info":"⩷⪩⨒∯300031=⪩⨒∯-21003223","layer":3},{"info":"⪩⨒∯120021⨑≵⋬⪩⨒∯1100022=⪩⨒∯-12202312","layer":3},{"info":"⪩⨒∯-21003223⪢⪩⨒∯-12202312=NaN","layer":2},{"info":"⪩⨒∯2232111⪡NaN=NaN","layer":1},{"info":"⪩⨒∯22≄⊠NaN=⪩⨒∯113130","layer":0}]}
{"id":252,"expression_no_base_symbol":"(($1139$≃$1737$)⩣⫁∢(⩷⨜⫀$1446$)∌($1664$⇍⊗$1768$⨐⩸⫘$2408$⨥⫆$4061$))⨐(($2218$⫌⩉⩟$1682$)≀⩗∶($1402$∪⫐$7403$))⇡⇂(⋣($3944$⨽⪊≇))","expression":"((⪩⨒∯101303≃⪩⨒∯123021)⩣⫁∢(⩷⨜⫀⪩⨒∯112212)∌(⪩⨒∯122000⇍⊗⪩⨒∯123220⨐⩸⫘⪩⨒∯211220⨥⫆⪩⨒∯333131))⨐((⪩⨒∯202222⫌⩉⩟⪩⨒∯122102)≀⩗∶(⪩⨒∯111322∪⫐⪩⨒∯1303223))⇡⇂(⋣(⪩⨒∯331220⨽⪊≇))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4347765,"operation_count":14,"complexity_ratio":310554.64285714284,"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":1139,"base":4},"right_expr":{"type":"numeric_atoms","value":1737,"base":4}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":1446,"base":4}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1664,"base":4},"right_expr":{"type":"numeric_atoms","value":1768,"base":4}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2408,"base":4},"right_expr":{"type":"numeric_atoms","value":4061,"base":4}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2218,"base":4},"right_expr":{"type":"numeric_atoms","value":1682,"base":4}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1402,"base":4},"right_expr":{"type":"numeric_atoms","value":7403,"base":4}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":3944,"base":4}}}}},"used_operators":["Noe24qw2ks","8cLx32lpNA","JDUIKTTSIa","YbVcJGFEVW","CDi0ktkjQ4","fu6greOZ01","5uvYHDjeKN","yXekIHxTD4","UMwdvZNt44","8INZBEW696","XIIwhv8d0m","7YooWSwCyH","zQWRhDnn8F","nlCqmYiOvY"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","ruOEQAzv1W","nhYeJWJD5X","3ViojmjbAp","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rJVOvQCfKK","2DDjHMKMc0","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1139","layer":4},{"info":"number node, value=1737","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=1737, 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=-4596","layer":3},{"info":"number node, value=1446","layer":4},{"info":"compute unary expreesion, input=1446, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-1173","layer":3},{"info":"compute binary expreesion, left_input=-4596, right_input=-1173, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=18949","layer":2},{"info":"number node, value=1664","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=1664, right_input=1768, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2408","layer":4},{"info":"number node, value=4061","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=4061, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=7998","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=7998, 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=18949, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=nan","layer":1},{"info":"number node, value=2218","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=2218, right_input=1682, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=1402","layer":4},{"info":"number node, value=7403","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=7403, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1402","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=1402, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=87","layer":2},{"info":"number node, value=3944","layer":4},{"info":"compute unary expreesion, input=3944, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=7362","layer":3},{"info":"compute unary expreesion, input=7362, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-2164333","layer":2},{"info":"compute binary expreesion, left_input=87, right_input=-2164333, 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=-90","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-90, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯101303≃⪩⨒∯123021)⩣⫁∢(⩷⨜⫀⪩⨒∯112212)∌(⪩⨒∯122000⇍⊗⪩⨒∯123220⨐⩸⫘⪩⨒∯211220⨥⫆⪩⨒∯333131))⨐((⪩⨒∯202222⫌⩉⩟⪩⨒∯122102)≀⩗∶(⪩⨒∯111322∪⫐⪩⨒∯1303223))⇡⇂(⋣(⪩⨒∯331220⨽⪊≇))=NaN","reverse_text":"NaN=((⪩⨒∯101303≃⪩⨒∯123021)⩣⫁∢(⩷⨜⫀⪩⨒∯112212)∌(⪩⨒∯122000⇍⊗⪩⨒∯123220⨐⩸⫘⪩⨒∯211220⨥⫆⪩⨒∯333131))⨐((⪩⨒∯202222⫌⩉⩟⪩⨒∯122102)≀⩗∶(⪩⨒∯111322∪⫐⪩⨒∯1303223))⇡⇂(⋣(⪩⨒∯331220⨽⪊≇))","cot":[{"info":"⪩⨒∯101303≃⪩⨒∯123021=⪩⨒∯-1013310","layer":3},{"info":"⩷⨜⫀⪩⨒∯112212=⪩⨒∯-102111","layer":3},{"info":"⪩⨒∯-1013310⩣⫁∢⪩⨒∯-102111=⪩⨒∯10220011","layer":2},{"info":"⪩⨒∯122000⇍⊗⪩⨒∯123220=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯211220⨥⫆⪩⨒∯333131=⪩⨒∯1330332","layer":3},{"info":"⪩⨒∯-3310⨐⩸⫘⪩⨒∯1330332=NaN","layer":2},{"info":"⪩⨒∯10220011∌NaN=NaN","layer":1},{"info":"⪩⨒∯202222⫌⩉⩟⪩⨒∯122102=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯111322∪⫐⪩⨒∯1303223=⪩⨒∯111322","layer":3},{"info":"⪩⨒∯-302≀⩗∶⪩⨒∯111322=⪩⨒∯1113","layer":2},{"info":"⪩⨒∯331220⨽⪊≇=⪩⨒∯1303002","layer":3},{"info":"⋣⪩⨒∯1303002=⪩⨒∯-20100121231","layer":2},{"info":"⪩⨒∯1113⇡⇂⪩⨒∯-20100121231=⪩⨒∯-1122","layer":1},{"info":"NaN⨐⪩⨒∯-1122=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"(($6039$⪢$2824$)∊∟⩊($5446$⋅⇍$2659$)+⪬∐(⩩($1203$∊∟⩊$3976$)))↢((∡(⊖$5479$))⋫)","expression":"((⪩⨒∯1132113⪢⪩⨒∯230020)∊∟⩊(⪩⨒∯1111012⋅⇍⪩⨒∯221203)+⪬∐(⩩(⪩⨒∯102303∊∟⩊⪩⨒∯332020)))↢((∡(⊖⪩⨒∯1111213))⋫)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10386,"operation_count":10,"complexity_ratio":1038.6,"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":6039,"base":4},"right_expr":{"type":"numeric_atoms","value":2824,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":5446,"base":4},"right_expr":{"type":"numeric_atoms","value":2659,"base":4}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1203,"base":4},"right_expr":{"type":"numeric_atoms","value":3976,"base":4}}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":5479,"base":4}}}}},"used_operators":["WR6HLWljOP","2GS7woTJqF","ddLRYrp01A","dWAJyo7jo9","AdZkA7nFnk","kMhfGuqI2H","JL8yIekQnl","pRsWfj4Fpp","U6pG0PXrV3"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","g55IO6H4Gj","D4vGDi5EA2","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","k8jYdgA6NY","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","tmPS8pqC7x","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=6039","layer":4},{"info":"number node, value=2824","layer":4},{"info":"compute binary expreesion, left_input=6039, right_input=2824, 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=5446","layer":4},{"info":"number node, value=2659","layer":4},{"info":"compute binary expreesion, left_input=5446, right_input=2659, 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=nan, right_input=-22, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":2},{"info":"number node, value=1203","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=3976, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=3976","layer":3},{"info":"compute unary expreesion, input=3976, 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 = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":1},{"info":"number node, value=5479","layer":4},{"info":"compute unary expreesion, input=5479, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1132113⪢⪩⨒∯230020)∊∟⩊(⪩⨒∯1111012⋅⇍⪩⨒∯221203)+⪬∐(⩩(⪩⨒∯102303∊∟⩊⪩⨒∯332020)))↢((∡(⊖⪩⨒∯1111213))⋫)=NaN","reverse_text":"NaN=((⪩⨒∯1132113⪢⪩⨒∯230020)∊∟⩊(⪩⨒∯1111012⋅⇍⪩⨒∯221203)+⪬∐(⩩(⪩⨒∯102303∊∟⩊⪩⨒∯332020)))↢((∡(⊖⪩⨒∯1111213))⋫)","cot":[{"info":"⪩⨒∯1132113⪢⪩⨒∯230020=NaN","layer":3},{"info":"⪩⨒∯1111012⋅⇍⪩⨒∯221203=⪩⨒∯-112","layer":3},{"info":"NaN∊∟⩊⪩⨒∯-112=NaN","layer":2},{"info":"⪩⨒∯102303∊∟⩊⪩⨒∯332020=⪩⨒∯332020","layer":3},{"info":"⩩⪩⨒∯332020=NaN","layer":2},{"info":"NaN+⪬∐NaN=NaN","layer":1},{"info":"⊖⪩⨒∯1111213=⪩⨒∯0","layer":3},{"info":"∡⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⋫=⪩⨒∯0","layer":1},{"info":"NaN↢⪩⨒∯0=NaN","layer":0}]}
{"id":254,"expression_no_base_symbol":"⋣((⊿$1006$)↳≱($1644$⪑⩈)⇄(($5630$∓⋝$4448$)⩅⪻⪻))","expression":"⋣((⊿⪩⨒∯33232)↳≱(⪩⨒∯121230⪑⩈)⇄((⪩⨒∯1113332∓⋝⪩⨒∯1011200)⩅⪻⪻))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":673,"operation_count":7,"complexity_ratio":96.14285714285714,"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":1006,"base":4}},"right_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":1644,"base":4}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":5630,"base":4},"right_expr":{"type":"numeric_atoms","value":4448,"base":4}}}}},"used_operators":["zQWRhDnn8F","3EYGwJThht","JwTKLfZU96","DO4fhlbJSI","C6VvDP6HwP","kHoXpA7yos","PoHhknlbAi"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⪩⨒∯-1301","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-4762","layer":3},{"info":"number node, value=1644","layer":4},{"info":"compute unary expreesion, input=1644, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=13098","layer":3},{"info":"compute binary expreesion, left_input=-4762, right_input=13098, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=5630","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=5630, right_input=4448, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=475471","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=475471, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-474987","layer":1},{"info":"compute unary expreesion, input=-474987, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":0}],"base":4,"result_base":4,"text":"⋣((⊿⪩⨒∯33232)↳≱(⪩⨒∯121230⪑⩈)⇄((⪩⨒∯1113332∓⋝⪩⨒∯1011200)⩅⪻⪻))=⪩⨒∯-1301","reverse_text":"⪩⨒∯-1301=⋣((⊿⪩⨒∯33232)↳≱(⪩⨒∯121230⪑⩈)⇄((⪩⨒∯1113332∓⋝⪩⨒∯1011200)⩅⪻⪻))","cot":[{"info":"⊿⪩⨒∯33232=⪩⨒∯-1022122","layer":3},{"info":"⪩⨒∯121230⪑⩈=⪩⨒∯3030222","layer":3},{"info":"⪩⨒∯-1022122↳≱⪩⨒∯3030222=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1113332∓⋝⪩⨒∯1011200=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1003⩅⪻⪻=⪩⨒∯1310011033","layer":2},{"info":"⪩⨒∯0⇄⪩⨒∯1310011033=⪩⨒∯-1303331223","layer":1},{"info":"⋣⪩⨒∯-1303331223=⪩⨒∯-1301","layer":0}]}
{"id":255,"expression_no_base_symbol":"≇⪴(($4895$⋳⪒$2048$)⋕⪉⪜($6035$∋$3616$)⫒⫫$1028$⋕⪉⪜$1039$∣($1032$∀⇚≩$1304$))","expression":"≇⪴((⪩⨒∯1030133⋳⪒⪩⨒∯200000)⋕⪉⪜(⪩⨒∯1132103∋⪩⨒∯320200)⫒⫫⪩⨒∯100010⋕⪉⪜⪩⨒∯100033∣(⪩⨒∯100020∀⇚≩⪩⨒∯110120))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49986,"operation_count":8,"complexity_ratio":6248.25,"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":4895,"base":4},"right_expr":{"type":"numeric_atoms","value":2048,"base":4}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":6035,"base":4},"right_expr":{"type":"numeric_atoms","value":3616,"base":4}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1028,"base":4},"right_expr":{"type":"numeric_atoms","value":1039,"base":4}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1032,"base":4},"right_expr":{"type":"numeric_atoms","value":1304,"base":4}}}}},"used_operators":["zoVPnxeHJ3","6Ko8hGgeMq","z6LnFrNh4i","12rbrZMWeM","ukq6epAj5P","PPChnnnBFF","LRNGc0VcxI"],"dependent_operators":["7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4895","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=4895, right_input=2048, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7455","layer":3},{"info":"number node, value=6035","layer":4},{"info":"number node, value=3616","layer":4},{"info":"compute binary expreesion, left_input=6035, right_input=3616, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=7752500","layer":3},{"info":"compute binary expreesion, left_input=7455, right_input=7752500, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=1028","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1039, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=1304","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1304, 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=2802, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=2802","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=2802, 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 = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"≇⪴((⪩⨒∯1030133⋳⪒⪩⨒∯200000)⋕⪉⪜(⪩⨒∯1132103∋⪩⨒∯320200)⫒⫫⪩⨒∯100010⋕⪉⪜⪩⨒∯100033∣(⪩⨒∯100020∀⇚≩⪩⨒∯110120))=NaN","reverse_text":"NaN=≇⪴((⪩⨒∯1030133⋳⪒⪩⨒∯200000)⋕⪉⪜(⪩⨒∯1132103∋⪩⨒∯320200)⫒⫫⪩⨒∯100010⋕⪉⪜⪩⨒∯100033∣(⪩⨒∯100020∀⇚≩⪩⨒∯110120))","cot":[{"info":"⪩⨒∯1030133⋳⪒⪩⨒∯200000=⪩⨒∯1310133","layer":3},{"info":"⪩⨒∯1132103∋⪩⨒∯320200=⪩⨒∯131210230310","layer":3},{"info":"⪩⨒∯1310133⋕⪉⪜⪩⨒∯131210230310=⪩⨒∯3030","layer":2},{"info":"⪩⨒∯100010⋕⪉⪜⪩⨒∯100033=⪩⨒∯223302","layer":3},{"info":"⪩⨒∯100020∀⇚≩⪩⨒∯110120=NaN","layer":3},{"info":"⪩⨒∯223302∣NaN=⪩⨒∯223302","layer":2},{"info":"⪩⨒∯3030⫒⫫⪩⨒∯223302=NaN","layer":1},{"info":"≇⪴NaN=NaN","layer":0}]}
{"id":256,"expression_no_base_symbol":"($1544$⨎$4846$)⋥⋵⩄($1746$⫠↝⫳)≥⨤⩑(⩒∊($2674$∝$3516$))⫔⩽⩺(⫛⫱⨽$6715$)⪭($6238$⇮⋭$4128$)⨽($1851$∠↢$2339$)⨰($4471$↙$2064$)","expression":"(⪩⨒∯120020⨎⪩⨒∯1023232)⋥⋵⩄(⪩⨒∯123102⫠↝⫳)≥⨤⩑(⩒∊(⪩⨒∯221302∝⪩⨒∯312330))⫔⩽⩺(⫛⫱⨽⪩⨒∯1220323)⪭(⪩⨒∯1201132⇮⋭⪩⨒∯1000200)⨽(⪩⨒∯130323∠↢⪩⨒∯210203)⨰(⪩⨒∯1011313↙⪩⨒∯200100)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3841,"operation_count":14,"complexity_ratio":274.35714285714283,"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":1544,"base":4},"right_expr":{"type":"numeric_atoms","value":4846,"base":4}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":1746,"base":4}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2674,"base":4},"right_expr":{"type":"numeric_atoms","value":3516,"base":4}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":6715,"base":4}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":6238,"base":4},"right_expr":{"type":"numeric_atoms","value":4128,"base":4}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1851,"base":4},"right_expr":{"type":"numeric_atoms","value":2339,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4471,"base":4},"right_expr":{"type":"numeric_atoms","value":2064,"base":4}}}}},"used_operators":["i9eR4S00cU","gJLn6v0xnP","7t3wd0Fuz7","rJVOvQCfKK","8n5YIzOsVS","qazvmhNBbN","cTDWOvIxvz","8HhzD0ZcuI","j9kHMeSvPp","DlLNRPXxWL","vkpjKywKVM","eewbuw0ToL","KbjG8mgYpV","yyfyN0ffXY"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","7j4O788W3g","W4YGzv6Whe","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","COABgblf1C","xUOZtlo3hN","rGHVDoGpnC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1544","layer":4},{"info":"number node, value=4846","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=4846, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4846","layer":3},{"info":"number node, value=1746","layer":4},{"info":"compute unary expreesion, input=1746, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=56495","layer":3},{"info":"compute binary expreesion, left_input=4846, right_input=56495, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=2674","layer":4},{"info":"number node, value=3516","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=3516, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2679","layer":3},{"info":"compute unary expreesion, input=2679, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4601","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=4601, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":1},{"info":"number node, value=6715","layer":4},{"info":"compute unary expreesion, input=6715, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=6238","layer":4},{"info":"number node, value=4128","layer":4},{"info":"compute binary expreesion, left_input=6238, right_input=4128, 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 = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":2},{"info":"number node, value=1851","layer":4},{"info":"number node, value=2339","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=2339, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-39068","layer":3},{"info":"number node, value=4471","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=4471, right_input=2064, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6192","layer":3},{"info":"compute binary expreesion, left_input=-39068, right_input=-6192, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-32866","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-32866, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=9084","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=9084, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯120020⨎⪩⨒∯1023232)⋥⋵⩄(⪩⨒∯123102⫠↝⫳)≥⨤⩑(⩒∊(⪩⨒∯221302∝⪩⨒∯312330))⫔⩽⩺(⫛⫱⨽⪩⨒∯1220323)⪭(⪩⨒∯1201132⇮⋭⪩⨒∯1000200)⨽(⪩⨒∯130323∠↢⪩⨒∯210203)⨰(⪩⨒∯1011313↙⪩⨒∯200100)=NaN","reverse_text":"NaN=(⪩⨒∯120020⨎⪩⨒∯1023232)⋥⋵⩄(⪩⨒∯123102⫠↝⫳)≥⨤⩑(⩒∊(⪩⨒∯221302∝⪩⨒∯312330))⫔⩽⩺(⫛⫱⨽⪩⨒∯1220323)⪭(⪩⨒∯1201132⇮⋭⪩⨒∯1000200)⨽(⪩⨒∯130323∠↢⪩⨒∯210203)⨰(⪩⨒∯1011313↙⪩⨒∯200100)","cot":[{"info":"⪩⨒∯120020⨎⪩⨒∯1023232=⪩⨒∯1023232","layer":3},{"info":"⪩⨒∯123102⫠↝⫳=⪩⨒∯31302233","layer":3},{"info":"⪩⨒∯1023232⋥⋵⩄⪩⨒∯31302233=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯221302∝⪩⨒∯312330=⪩⨒∯221313","layer":3},{"info":"⩒∊⪩⨒∯221313=⪩⨒∯1013321","layer":2},{"info":"⪩⨒∯1301≥⨤⩑⪩⨒∯1013321=⪩⨒∯103102","layer":1},{"info":"⫛⫱⨽⪩⨒∯1220323=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1201132⇮⋭⪩⨒∯1000200=⪩⨒∯-13121","layer":3},{"info":"⪩⨒∯0⪭⪩⨒∯-13121=⪩⨒∯-2232","layer":2},{"info":"⪩⨒∯130323∠↢⪩⨒∯210203=⪩⨒∯-21202130","layer":3},{"info":"⪩⨒∯1011313↙⪩⨒∯200100=⪩⨒∯-1200300","layer":3},{"info":"⪩⨒∯-21202130⨰⪩⨒∯-1200300=⪩⨒∯-20001202","layer":2},{"info":"⪩⨒∯-2232⨽⪩⨒∯-20001202=⪩⨒∯2031330","layer":1},{"info":"⪩⨒∯103102⫔⩽⩺⪩⨒∯2031330=NaN","layer":0}]}
{"id":257,"expression_no_base_symbol":"(⨛($2743$∴$1708$)↳≱$2245$⇡⇂$1140$)⊴((≻⋜(⊽$1347$))∷)","expression":"(⨛(⪩⨒∯222313∴⪩⨒∯122230)↳≱⪩⨒∯203011⇡⇂⪩⨒∯101310)⊴((≻⋜(⊽⪩⨒∯111003))∷)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31880,"operation_count":8,"complexity_ratio":3985.0,"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":2743,"base":4},"right_expr":{"type":"numeric_atoms","value":1708,"base":4}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2245,"base":4},"right_expr":{"type":"numeric_atoms","value":1140,"base":4}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1347,"base":4}}}}},"used_operators":["Nsiff2A1zJ","CoMdbyAt7R","JwTKLfZU96","hrf7POJlIJ","UMwdvZNt44","nFAOW8KTqp","3tj9sqzovi","QxG7OkqoLX"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2743","layer":4},{"info":"number node, value=1708","layer":4},{"info":"compute binary expreesion, left_input=2743, right_input=1708, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7134","layer":3},{"info":"number node, value=2245","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=1140, 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=7134, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":1},{"info":"number node, value=1347","layer":4},{"info":"compute unary expreesion, input=1347, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=4216","layer":3},{"info":"compute unary expreesion, input=4216, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', 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=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⨛(⪩⨒∯222313∴⪩⨒∯122230)↳≱⪩⨒∯203011⇡⇂⪩⨒∯101310)⊴((≻⋜(⊽⪩⨒∯111003))∷)=NaN","reverse_text":"NaN=(⨛(⪩⨒∯222313∴⪩⨒∯122230)↳≱⪩⨒∯203011⇡⇂⪩⨒∯101310)⊴((≻⋜(⊽⪩⨒∯111003))∷)","cot":[{"info":"⪩⨒∯222313∴⪩⨒∯122230=⪩⨒∯1233132","layer":3},{"info":"⪩⨒∯203011⇡⇂⪩⨒∯101310=NaN","layer":3},{"info":"⪩⨒∯1233132↳≱NaN=⪩⨒∯0","layer":2},{"info":"⨛⪩⨒∯0=NaN","layer":1},{"info":"⊽⪩⨒∯111003=⪩⨒∯1001320","layer":3},{"info":"≻⋜⪩⨒∯1001320=NaN","layer":2},{"info":"NaN∷=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":258,"expression_no_base_symbol":"((↑$1249$)⨚($2126$≠≀$3345$))⩍⋽⫝̸((⊆⋠$8950$)≭$1624$↞⋁$1820$)⊉≛↸($2046$↹⊜$4976$)⫁($3835$⩘$5002$)≀⩗∶($5115$⪛⫼$4219$↱$4101$⨪↰⇹$2821$)","expression":"((↑⪩⨒∯103201)⨚(⪩⨒∯201032≠≀⪩⨒∯310101))⩍⋽⫝̸((⊆⋠⪩⨒∯2023312)≭⪩⨒∯121120↞⋁⪩⨒∯130130)⊉≛↸(⪩⨒∯133332↹⊜⪩⨒∯1031300)⫁(⪩⨒∯323323⩘⪩⨒∯1032022)≀⩗∶(⪩⨒∯1033323⪛⫼⪩⨒∯1001323↱⪩⨒∯1000011⨪↰⇹⪩⨒∯230011)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4909,"operation_count":15,"complexity_ratio":327.26666666666665,"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":1249,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2126,"base":4},"right_expr":{"type":"numeric_atoms","value":3345,"base":4}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":8950,"base":4}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1624,"base":4},"right_expr":{"type":"numeric_atoms","value":1820,"base":4}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2046,"base":4},"right_expr":{"type":"numeric_atoms","value":4976,"base":4}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3835,"base":4},"right_expr":{"type":"numeric_atoms","value":5002,"base":4}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5115,"base":4},"right_expr":{"type":"numeric_atoms","value":4219,"base":4}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4101,"base":4},"right_expr":{"type":"numeric_atoms","value":2821,"base":4}}}}},"used_operators":["DZ8iAZOCBD","BiWNJpBvwn","nREPSIbpBE","tR7O2zTn5j","IwW236VD4Y","rxpJgHHUmx","EBhcHTkKd8","RqrPlJkxDo","8INZBEW696","0ajvFaJAv0","9bazX3JMtO","cHh1gJQ2o6","SR5kFfdi6N","hyuBjUqXlG","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","BjRHVeLaeN","12rbrZMWeM","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","AHs5Up7iyr","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","cHh1gJQ2o6","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=2126","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=3345, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3946","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=-3946, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=17102","layer":2},{"info":"number node, value=8950","layer":4},{"info":"compute unary expreesion, input=8950, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=1624","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=1820, 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=0, 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=17102, right_input=nan, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":1},{"info":"number node, value=2046","layer":4},{"info":"number node, value=4976","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=4976, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-15908","layer":3},{"info":"number node, value=3835","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=3835, right_input=5002, 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=-15908, right_input=160, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=5115","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=5115, right_input=4219, 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=4101","layer":4},{"info":"number node, value=2821","layer":4},{"info":"compute binary expreesion, left_input=4101, right_input=2821, 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=4101","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=4101, 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=-11781","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-11781, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=222","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=222, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((↑⪩⨒∯103201)⨚(⪩⨒∯201032≠≀⪩⨒∯310101))⩍⋽⫝̸((⊆⋠⪩⨒∯2023312)≭⪩⨒∯121120↞⋁⪩⨒∯130130)⊉≛↸(⪩⨒∯133332↹⊜⪩⨒∯1031300)⫁(⪩⨒∯323323⩘⪩⨒∯1032022)≀⩗∶(⪩⨒∯1033323⪛⫼⪩⨒∯1001323↱⪩⨒∯1000011⨪↰⇹⪩⨒∯230011)=NaN","reverse_text":"NaN=((↑⪩⨒∯103201)⨚(⪩⨒∯201032≠≀⪩⨒∯310101))⩍⋽⫝̸((⊆⋠⪩⨒∯2023312)≭⪩⨒∯121120↞⋁⪩⨒∯130130)⊉≛↸(⪩⨒∯133332↹⊜⪩⨒∯1031300)⫁(⪩⨒∯323323⩘⪩⨒∯1032022)≀⩗∶(⪩⨒∯1033323⪛⫼⪩⨒∯1001323↱⪩⨒∯1000011⨪↰⇹⪩⨒∯230011)","cot":[{"info":"↑⪩⨒∯103201=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯201032≠≀⪩⨒∯310101=⪩⨒∯-331222","layer":3},{"info":"⪩⨒∯3000⨚⪩⨒∯-331222=⪩⨒∯10023032","layer":2},{"info":"⊆⋠⪩⨒∯2023312=⪩⨒∯0","layer":3},{"info":"⪩⨒∯121120↞⋁⪩⨒∯130130=NaN","layer":3},{"info":"⪩⨒∯0≭NaN=NaN","layer":2},{"info":"⪩⨒∯10023032⩍⋽⫝̸NaN=NaN","layer":1},{"info":"⪩⨒∯133332↹⊜⪩⨒∯1031300=⪩⨒∯-3320210","layer":3},{"info":"⪩⨒∯323323⩘⪩⨒∯1032022=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-3320210⫁⪩⨒∯2200=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1033323⪛⫼⪩⨒∯1001323=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯1000011⨪↰⇹⪩⨒∯230011=⪩⨒∯1000011","layer":3},{"info":"⪩⨒∯33020↱⪩⨒∯1000011=⪩⨒∯-2320011","layer":2},{"info":"⪩⨒∯2200≀⩗∶⪩⨒∯-2320011=⪩⨒∯3132","layer":1},{"info":"NaN⊉≛↸⪩⨒∯3132=NaN","layer":0}]}
{"id":259,"expression_no_base_symbol":"((⊗$3993$)∑⇟⊟$6336$∣$2701$⋘⨑⨽)⩏","expression":"((⊗⪩⨒∯332121)∑⇟⊟⪩⨒∯1203000∣⪩⨒∯222031⋘⨑⨽)⩏","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":273,"operation_count":5,"complexity_ratio":54.6,"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":3993,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":6336,"base":4},"right_expr":{"type":"numeric_atoms","value":2701,"base":4}}}}},"used_operators":["iA2gmKZ3Wj","WmT3o8z6ya","U7g4x0WXJJ","RhiyfpczSx","PPChnnnBFF"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3993","layer":4},{"info":"compute unary expreesion, input=3993, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-7986","layer":3},{"info":"number node, value=6336","layer":4},{"info":"number node, value=2701","layer":4},{"info":"compute binary expreesion, left_input=6336, right_input=2701, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6336","layer":3},{"info":"compute binary expreesion, left_input=-7986, right_input=6336, 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 = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⊗⪩⨒∯332121)∑⇟⊟⪩⨒∯1203000∣⪩⨒∯222031⋘⨑⨽)⩏=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⊗⪩⨒∯332121)∑⇟⊟⪩⨒∯1203000∣⪩⨒∯222031⋘⨑⨽)⩏","cot":[{"info":"⊗⪩⨒∯332121=⪩⨒∯-1330302","layer":3},{"info":"⪩⨒∯1203000∣⪩⨒∯222031=⪩⨒∯1203000","layer":3},{"info":"⪩⨒∯-1330302∑⇟⊟⪩⨒∯1203000=NaN","layer":2},{"info":"NaN⋘⨑⨽=NaN","layer":1},{"info":"NaN⩏=⪩⨒∯0","layer":0}]}
{"id":260,"expression_no_base_symbol":"($1077$⪶≀⋏$1789$⊹∫⫚(≯$2127$))⪘⫢($6528$⨪↰⇹$6580$)⨔⇊($5955$≃$3624$)/($2322$⩣⫁∢$1987$*($1499$+$1924$))⪢(⇈$3777$)∛(⊈$1154$)","expression":"(⪩⨒∯100311⪶≀⋏⪩⨒∯123331⊹∫⫚(≯⪩⨒∯201033))⪘⫢(⪩⨒∯1212000⨪↰⇹⪩⨒∯1212310)⨔⇊(⪩⨒∯1131003≃⪩⨒∯320220)/(⪩⨒∯210102⩣⫁∢⪩⨒∯133003*(⪩⨒∯113123+⪩⨒∯132010))⪢(⇈⪩⨒∯323001)∛(⊈⪩⨒∯102002)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9362150,"operation_count":15,"complexity_ratio":624143.3333333334,"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":1077,"base":4},"right_expr":{"type":"numeric_atoms","value":1789,"base":4}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":2127,"base":4}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6528,"base":4},"right_expr":{"type":"numeric_atoms","value":6580,"base":4}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":5955,"base":4},"right_expr":{"type":"numeric_atoms","value":3624,"base":4}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2322,"base":4},"right_expr":{"type":"numeric_atoms","value":1987,"base":4}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1499,"base":4},"right_expr":{"type":"numeric_atoms","value":1924,"base":4}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":3777,"base":4}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1154,"base":4}}}}},"used_operators":["XhwjNDsVaA","oacrs7FA3X","uWAJUKEvyW","zR4jO40bMj","keWfFq85dY","JclMnS0uGI","tmPS8pqC7x","YbVcJGFEVW","dWAJyo7jo9","9HNa5Wba9A","JDUIKTTSIa","W4YGzv6Whe","w2537kitQq","SLLxy00UIr","RHru8klgy8"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","JLbD19bQDL","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","k8jYdgA6NY","W4YGzv6Whe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","12rbrZMWeM","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1077","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=1789, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7041","layer":3},{"info":"number node, value=2127","layer":4},{"info":"compute unary expreesion, input=2127, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7041, right_input=0, 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":2},{"info":"number node, value=6528","layer":4},{"info":"number node, value=6580","layer":4},{"info":"compute binary expreesion, left_input=6528, right_input=6580, 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=6528","layer":3},{"info":"number node, value=5955","layer":4},{"info":"number node, value=3624","layer":4},{"info":"compute binary expreesion, left_input=5955, right_input=3624, 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=-23860","layer":3},{"info":"compute binary expreesion, left_input=6528, right_input=-23860, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=2322","layer":4},{"info":"number node, value=1987","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=1987, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4483","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=1924, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3423","layer":3},{"info":"compute binary expreesion, left_input=-4483, right_input=3423, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-15345309","layer":2},{"info":"number node, value=3777","layer":4},{"info":"compute unary expreesion, input=3777, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1328","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-1328, 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=-15345309, right_input=67, 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=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯100311⪶≀⋏⪩⨒∯123331⊹∫⫚(≯⪩⨒∯201033))⪘⫢(⪩⨒∯1212000⨪↰⇹⪩⨒∯1212310)⨔⇊(⪩⨒∯1131003≃⪩⨒∯320220)/(⪩⨒∯210102⩣⫁∢⪩⨒∯133003*(⪩⨒∯113123+⪩⨒∯132010))⪢(⇈⪩⨒∯323001)∛(⊈⪩⨒∯102002)=NaN","reverse_text":"NaN=(⪩⨒∯100311⪶≀⋏⪩⨒∯123331⊹∫⫚(≯⪩⨒∯201033))⪘⫢(⪩⨒∯1212000⨪↰⇹⪩⨒∯1212310)⨔⇊(⪩⨒∯1131003≃⪩⨒∯320220)/(⪩⨒∯210102⩣⫁∢⪩⨒∯133003*(⪩⨒∯113123+⪩⨒∯132010))⪢(⇈⪩⨒∯323001)∛(⊈⪩⨒∯102002)","cot":[{"info":"⪩⨒∯100311⪶≀⋏⪩⨒∯123331=⪩⨒∯-1232001","layer":3},{"info":"≯⪩⨒∯201033=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1232001⊹∫⫚⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1212000⨪↰⇹⪩⨒∯1212310=⪩⨒∯1212000","layer":3},{"info":"⪩⨒∯1131003≃⪩⨒∯320220=⪩⨒∯-11310310","layer":3},{"info":"⪩⨒∯1212000⨔⇊⪩⨒∯-11310310=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯0⪘⫢⪩⨒∯1003=⪩⨒∯0","layer":1},{"info":"⪩⨒∯210102⩣⫁∢⪩⨒∯133003=⪩⨒∯-1012003","layer":3},{"info":"⪩⨒∯113123+⪩⨒∯132010=⪩⨒∯311133","layer":3},{"info":"⪩⨒∯-1012003*⪩⨒∯311133=⪩⨒∯-322202122131","layer":2},{"info":"⇈⪩⨒∯323001=⪩⨒∯-12333","layer":3},{"info":"⊈⪩⨒∯102002=⪩⨒∯-110300","layer":3},{"info":"⪩⨒∯-12333∛⪩⨒∯-110300=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯-322202122131⪢⪩⨒∯1003=NaN","layer":1},{"info":"⪩⨒∯0/NaN=NaN","layer":0}]}
{"id":261,"expression_no_base_symbol":"(($5817$∴≳≥)⊲⩕⊾$1166$⨽∌$1524$)+⪬∐($1385$∇⊂⋱$2905$⨑≵⋬$2466$⇤$1330$)⫦⪉(∡(⇖⫷⫕$1409$)⩧⪆($3688$↙$5831$))","expression":"((⪩⨒∯1122321∴≳≥)⊲⩕⊾⪩⨒∯102032⨽∌⪩⨒∯113310)+⪬∐(⪩⨒∯111221∇⊂⋱⪩⨒∯231121⨑≵⋬⪩⨒∯212202⇤⪩⨒∯110302)⫦⪉(∡(⇖⫷⫕⪩⨒∯112001)⩧⪆(⪩⨒∯321220↙⪩⨒∯1123013))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6743,"operation_count":12,"complexity_ratio":561.9166666666666,"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":5817,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1166,"base":4},"right_expr":{"type":"numeric_atoms","value":1524,"base":4}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1385,"base":4},"right_expr":{"type":"numeric_atoms","value":2905,"base":4}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2466,"base":4},"right_expr":{"type":"numeric_atoms","value":1330,"base":4}}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":1409,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3688,"base":4},"right_expr":{"type":"numeric_atoms","value":5831,"base":4}}}}},"used_operators":["wscyQdcy20","2GS7woTJqF","DmTXOeWf9t","a3N2hFLK0J","9samAPKr6k","XnXgA4xnOs","nhYeJWJD5X","YSKBFp38Pu","pRsWfj4Fpp","Ikt5ks8PT7","UHmRx3INFg","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","g55IO6H4Gj","D4vGDi5EA2","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eewbuw0ToL","t8gj7n24qd","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","tmPS8pqC7x","DpFCA1CohY"],"result":"⪩⨒∯-20103221300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5817","layer":4},{"info":"compute unary expreesion, input=5817, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=23268","layer":3},{"info":"number node, value=1166","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1524, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=23268, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-363758","layer":2},{"info":"number node, value=1385","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=2905, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2224","layer":3},{"info":"number node, value=2466","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=2466, right_input=1330, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-16132","layer":3},{"info":"compute binary expreesion, left_input=2224, right_input=-16132, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=158719","layer":2},{"info":"compute binary expreesion, left_input=-363758, right_input=158719, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=1091274","layer":1},{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=3688","layer":4},{"info":"number node, value=5831","layer":4},{"info":"compute binary expreesion, left_input=3688, right_input=5831, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17493","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-17493, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=17493","layer":2},{"info":"compute unary expreesion, input=17493, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-17493","layer":1},{"info":"compute binary expreesion, left_input=1091274, right_input=-17493, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2177648","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1122321∴≳≥)⊲⩕⊾⪩⨒∯102032⨽∌⪩⨒∯113310)+⪬∐(⪩⨒∯111221∇⊂⋱⪩⨒∯231121⨑≵⋬⪩⨒∯212202⇤⪩⨒∯110302)⫦⪉(∡(⇖⫷⫕⪩⨒∯112001)⩧⪆(⪩⨒∯321220↙⪩⨒∯1123013))=⪩⨒∯-20103221300","reverse_text":"⪩⨒∯-20103221300=((⪩⨒∯1122321∴≳≥)⊲⩕⊾⪩⨒∯102032⨽∌⪩⨒∯113310)+⪬∐(⪩⨒∯111221∇⊂⋱⪩⨒∯231121⨑≵⋬⪩⨒∯212202⇤⪩⨒∯110302)⫦⪉(∡(⇖⫷⫕⪩⨒∯112001)⩧⪆(⪩⨒∯321220↙⪩⨒∯1123013))","cot":[{"info":"⪩⨒∯1122321∴≳≥=⪩⨒∯11223210","layer":3},{"info":"⪩⨒∯102032⨽∌⪩⨒∯113310=⪩⨒∯0","layer":3},{"info":"⪩⨒∯11223210⊲⩕⊾⪩⨒∯0=⪩⨒∯-1120303232","layer":2},{"info":"⪩⨒∯111221∇⊂⋱⪩⨒∯231121=⪩⨒∯202300","layer":3},{"info":"⪩⨒∯212202⇤⪩⨒∯110302=⪩⨒∯-3330010","layer":3},{"info":"⪩⨒∯202300⨑≵⋬⪩⨒∯-3330010=⪩⨒∯212233333","layer":2},{"info":"⪩⨒∯-1120303232+⪬∐⪩⨒∯212233333=⪩⨒∯10022123022","layer":1},{"info":"⇖⫷⫕⪩⨒∯112001=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯321220↙⪩⨒∯1123013=⪩⨒∯-10101111","layer":3},{"info":"⪩⨒∯230012⩧⪆⪩⨒∯-10101111=⪩⨒∯10101111","layer":2},{"info":"∡⪩⨒∯10101111=⪩⨒∯-10101111","layer":1},{"info":"⪩⨒∯10022123022⫦⪉⪩⨒∯-10101111=⪩⨒∯-20103221300","layer":0}]}
{"id":262,"expression_no_base_symbol":"⋼∭⪍(⫓⪴($1130$⫯⪬∳$8818$⩠))","expression":"⋼∭⪍(⫓⪴(⪩⨒∯101222⫯⪬∳⪩⨒∯2021302⩠))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12789,"operation_count":4,"complexity_ratio":3197.25,"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":1130,"base":4},"right_expr":{"type":"numeric_atoms","value":8818,"base":4}}}}},"used_operators":["DbCuESL50I","eLxqMNBOBk","sJAwomhLZr","d7ASUq0ydm"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"⪩⨒∯-212300013013120","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=8818","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=8818, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-3135","layer":3},{"info":"compute unary expreesion, input=-3135, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=12749","layer":2},{"info":"compute unary expreesion, input=12749, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=162537001","layer":1},{"info":"compute unary expreesion, input=162537001, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-650146264","layer":0}],"base":4,"result_base":4,"text":"⋼∭⪍(⫓⪴(⪩⨒∯101222⫯⪬∳⪩⨒∯2021302⩠))=⪩⨒∯-212300013013120","reverse_text":"⪩⨒∯-212300013013120=⋼∭⪍(⫓⪴(⪩⨒∯101222⫯⪬∳⪩⨒∯2021302⩠))","cot":[{"info":"⪩⨒∯101222⫯⪬∳⪩⨒∯2021302=⪩⨒∯-300333","layer":3},{"info":"⪩⨒∯-300333⩠=⪩⨒∯3013031","layer":2},{"info":"⫓⪴⪩⨒∯3013031=⪩⨒∯21230001320221","layer":1},{"info":"⋼∭⪍⪩⨒∯21230001320221=⪩⨒∯-212300013013120","layer":0}]}
{"id":263,"expression_no_base_symbol":"⊁⨺(($1398$⪇≇⋚$1382$≬⋮$1954$⩺⪪$3390$)⨎⋸⪻)","expression":"⊁⨺((⪩⨒∯111312⪇≇⋚⪩⨒∯111212≬⋮⪩⨒∯132202⩺⪪⪩⨒∯310332)⨎⋸⪻)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":169,"operation_count":5,"complexity_ratio":33.8,"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":1398,"base":4},"right_expr":{"type":"numeric_atoms","value":1382,"base":4}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1954,"base":4},"right_expr":{"type":"numeric_atoms","value":3390,"base":4}}}}},"used_operators":["PxiHyQbrIp","Dk5vyLCiGd","kbkesczE7y","3sJ7IOPOlU","uvdQJvN4PV"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","IWmyXbctLI","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1398","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1382, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=1954","layer":4},{"info":"number node, value=3390","layer":4},{"info":"compute binary expreesion, left_input=1954, right_input=3390, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1818, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2052","layer":1},{"info":"compute unary expreesion, input=2052, 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":4,"result_base":4,"text":"⊁⨺((⪩⨒∯111312⪇≇⋚⪩⨒∯111212≬⋮⪩⨒∯132202⩺⪪⪩⨒∯310332)⨎⋸⪻)=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=⊁⨺((⪩⨒∯111312⪇≇⋚⪩⨒∯111212≬⋮⪩⨒∯132202⩺⪪⪩⨒∯310332)⨎⋸⪻)","cot":[{"info":"⪩⨒∯111312⪇≇⋚⪩⨒∯111212=⪩⨒∯0","layer":3},{"info":"⪩⨒∯132202⩺⪪⪩⨒∯310332=⪩⨒∯-130122","layer":3},{"info":"⪩⨒∯0≬⋮⪩⨒∯-130122=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯31210⨎⋸⪻=⪩⨒∯200010","layer":1},{"info":"⊁⨺⪩⨒∯200010=⪩⨒∯2200","layer":0}]}
{"id":264,"expression_no_base_symbol":"($1739$∊∟⩊$1565$≠≀($2599$⪉⨛$1370$))∳⫺((⇐$2919$)⊉≛↸$6563$⊨$3003$)⇄(($1481$⩚⊴⇥$6972$)≁↽≥(⇺⋃$4413$)⨐⩸⫘($6253$⫲≸⪮$6736$)⨪↰⇹($4314$↪⪝))","expression":"(⪩⨒∯123023∊∟⩊⪩⨒∯120131≠≀(⪩⨒∯220213⪉⨛⪩⨒∯111122))∳⫺((⇐⪩⨒∯231213)⊉≛↸⪩⨒∯1212203⊨⪩⨒∯232323)⇄((⪩⨒∯113021⩚⊴⇥⪩⨒∯1230330)≁↽≥(⇺⋃⪩⨒∯1010331)⨐⩸⫘(⪩⨒∯1201231⫲≸⪮⪩⨒∯1221100)⨪↰⇹(⪩⨒∯1003122↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13434,"operation_count":15,"complexity_ratio":895.6,"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":1739,"base":4},"right_expr":{"type":"numeric_atoms","value":1565,"base":4}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2599,"base":4},"right_expr":{"type":"numeric_atoms","value":1370,"base":4}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2919,"base":4}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":6563,"base":4},"right_expr":{"type":"numeric_atoms","value":3003,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1481,"base":4},"right_expr":{"type":"numeric_atoms","value":6972,"base":4}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":4413,"base":4}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6253,"base":4},"right_expr":{"type":"numeric_atoms","value":6736,"base":4}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4314,"base":4}}}}},"used_operators":["3EYGwJThht","AzXXKTstlj","IwW236VD4Y","ddLRYrp01A","EWw2JM7wp4","DZ8iAZOCBD","nmZMaaE0Q9","vg4gO5BX6G","fu6greOZ01","ncHt1X6cMc","NTOWxs364D","E5v5B3UAjG","tmPS8pqC7x","P3lXMJvFrc","l07mrZUIn9"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","3ViojmjbAp","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rJVOvQCfKK","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1739","layer":4},{"info":"number node, value=1565","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=1565, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1565","layer":3},{"info":"number node, value=2599","layer":4},{"info":"number node, value=1370","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=1370, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6642","layer":3},{"info":"compute binary expreesion, left_input=1565, right_input=6642, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2824","layer":2},{"info":"number node, value=2919","layer":4},{"info":"compute unary expreesion, input=2919, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=4740","layer":3},{"info":"number node, value=6563","layer":4},{"info":"number node, value=3003","layer":4},{"info":"compute binary expreesion, left_input=6563, right_input=3003, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=27283","layer":3},{"info":"compute binary expreesion, left_input=4740, right_input=27283, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9480","layer":2},{"info":"compute binary expreesion, left_input=-2824, right_input=9480, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-30194","layer":1},{"info":"number node, value=1481","layer":4},{"info":"number node, value=6972","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=6972, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8574","layer":3},{"info":"number node, value=4413","layer":4},{"info":"compute unary expreesion, input=4413, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8574, right_input=nan, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=nan","layer":2},{"info":"number node, value=6253","layer":4},{"info":"number node, value=6736","layer":4},{"info":"compute binary expreesion, left_input=6253, right_input=6736, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6253","layer":3},{"info":"number node, value=4314","layer":4},{"info":"compute unary expreesion, input=4314, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=263939148","layer":3},{"info":"compute binary expreesion, left_input=6253, right_input=263939148, 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=6253","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6253, 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":"compute binary expreesion, left_input=-30194, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯123023∊∟⩊⪩⨒∯120131≠≀(⪩⨒∯220213⪉⨛⪩⨒∯111122))∳⫺((⇐⪩⨒∯231213)⊉≛↸⪩⨒∯1212203⊨⪩⨒∯232323)⇄((⪩⨒∯113021⩚⊴⇥⪩⨒∯1230330)≁↽≥(⇺⋃⪩⨒∯1010331)⨐⩸⫘(⪩⨒∯1201231⫲≸⪮⪩⨒∯1221100)⨪↰⇹(⪩⨒∯1003122↪⪝))=NaN","reverse_text":"NaN=(⪩⨒∯123023∊∟⩊⪩⨒∯120131≠≀(⪩⨒∯220213⪉⨛⪩⨒∯111122))∳⫺((⇐⪩⨒∯231213)⊉≛↸⪩⨒∯1212203⊨⪩⨒∯232323)⇄((⪩⨒∯113021⩚⊴⇥⪩⨒∯1230330)≁↽≥(⇺⋃⪩⨒∯1010331)⨐⩸⫘(⪩⨒∯1201231⫲≸⪮⪩⨒∯1221100)⨪↰⇹(⪩⨒∯1003122↪⪝))","cot":[{"info":"⪩⨒∯123023∊∟⩊⪩⨒∯120131=⪩⨒∯120131","layer":3},{"info":"⪩⨒∯220213⪉⨛⪩⨒∯111122=⪩⨒∯1213302","layer":3},{"info":"⪩⨒∯120131≠≀⪩⨒∯1213302=⪩⨒∯-230020","layer":2},{"info":"⇐⪩⨒∯231213=⪩⨒∯1022010","layer":3},{"info":"⪩⨒∯1212203⊨⪩⨒∯232323=⪩⨒∯12222103","layer":3},{"info":"⪩⨒∯1022010⊉≛↸⪩⨒∯12222103=⪩⨒∯2110020","layer":2},{"info":"⪩⨒∯-230020∳⫺⪩⨒∯2110020=⪩⨒∯-13113302","layer":1},{"info":"⪩⨒∯113021⩚⊴⇥⪩⨒∯1230330=⪩⨒∯-2011332","layer":3},{"info":"⇺⋃⪩⨒∯1010331=NaN","layer":3},{"info":"⪩⨒∯-2011332≁↽≥NaN=NaN","layer":2},{"info":"⪩⨒∯1201231⫲≸⪮⪩⨒∯1221100=⪩⨒∯1201231","layer":3},{"info":"⪩⨒∯1003122↪⪝=⪩⨒∯33232312101030","layer":3},{"info":"⪩⨒∯1201231⨪↰⇹⪩⨒∯33232312101030=⪩⨒∯1201231","layer":2},{"info":"NaN⨐⩸⫘⪩⨒∯1201231=NaN","layer":1},{"info":"⪩⨒∯-13113302⇄NaN=NaN","layer":0}]}
{"id":265,"expression_no_base_symbol":"(⨂⪏⇭(($2494$⪭≯$7542$)⩷∴($1224$↪⪝)))⪃⊛⇣((⩒∊$1154$)⩧⪆(⊥$1171$)↱$2054$⇤$6182$⪕($7221$⋓$2077$))","expression":"(⨂⪏⇭((⪩⨒∯212332⪭≯⪩⨒∯1311312)⩷∴(⪩⨒∯103020↪⪝)))⪃⊛⇣((⩒∊⪩⨒∯102002)⩧⪆(⊥⪩⨒∯102103)↱⪩⨒∯200012⇤⪩⨒∯1200212⪕(⪩⨒∯1300311⋓⪩⨒∯200131))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1575,"operation_count":12,"complexity_ratio":131.25,"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":2494,"base":4},"right_expr":{"type":"numeric_atoms","value":7542,"base":4}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1224,"base":4}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1154,"base":4}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1171,"base":4}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2054,"base":4},"right_expr":{"type":"numeric_atoms","value":6182,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7221,"base":4},"right_expr":{"type":"numeric_atoms","value":2077,"base":4}}}}},"used_operators":["rrgAzCduG9","AYdpE9sXAk","9FxExcQeMw","XAx5wpdLa6","l07mrZUIn9","SR5kFfdi6N","Ikt5ks8PT7","qazvmhNBbN","Q3PJZHRvZv","umQnsF7QlU","YSKBFp38Pu","T2fj7uvVaJ"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","rysDP5nf3Z","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9HNa5Wba9A","2DDjHMKMc0","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eewbuw0ToL","t8gj7n24qd","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","fu6greOZ01","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"⪩⨒∯103102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2494","layer":4},{"info":"number node, value=7542","layer":4},{"info":"compute binary expreesion, left_input=2494, right_input=7542, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=74886768","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=74886768, 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 = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=nan","layer":1},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1551","layer":3},{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1551, 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=2054","layer":4},{"info":"number node, value=6182","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=6182, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-38332","layer":3},{"info":"number node, value=7221","layer":4},{"info":"number node, value=2077","layer":4},{"info":"compute binary expreesion, left_input=7221, right_input=2077, 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=-38332, right_input=0, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-55, 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=15890","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15890, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":4,"result_base":4,"text":"(⨂⪏⇭((⪩⨒∯212332⪭≯⪩⨒∯1311312)⩷∴(⪩⨒∯103020↪⪝)))⪃⊛⇣((⩒∊⪩⨒∯102002)⩧⪆(⊥⪩⨒∯102103)↱⪩⨒∯200012⇤⪩⨒∯1200212⪕(⪩⨒∯1300311⋓⪩⨒∯200131))=⪩⨒∯103102","reverse_text":"⪩⨒∯103102=(⨂⪏⇭((⪩⨒∯212332⪭≯⪩⨒∯1311312)⩷∴(⪩⨒∯103020↪⪝)))⪃⊛⇣((⩒∊⪩⨒∯102002)⩧⪆(⊥⪩⨒∯102103)↱⪩⨒∯200012⇤⪩⨒∯1200212⪕(⪩⨒∯1300311⋓⪩⨒∯200131))","cot":[{"info":"⪩⨒∯212332⪭≯⪩⨒∯1311312=NaN","layer":3},{"info":"⪩⨒∯103020↪⪝=⪩⨒∯10131222321300","layer":3},{"info":"NaN⩷∴⪩⨒∯10131222321300=NaN","layer":2},{"info":"⨂⪏⇭NaN=NaN","layer":1},{"info":"⩒∊⪩⨒∯102002=⪩⨒∯120033","layer":3},{"info":"⊥⪩⨒∯102103=NaN","layer":3},{"info":"⪩⨒∯120033⩧⪆NaN=NaN","layer":2},{"info":"⪩⨒∯200012⇤⪩⨒∯1200212=⪩⨒∯-21112330","layer":3},{"info":"⪩⨒∯1300311⋓⪩⨒∯200131=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-21112330⪕⪩⨒∯0=⪩⨒∯-313","layer":2},{"info":"NaN↱⪩⨒∯-313=⪩⨒∯3320102","layer":1},{"info":"NaN⪃⊛⇣⪩⨒∯3320102=⪩⨒∯103102","layer":0}]}
{"id":266,"expression_no_base_symbol":"≅≯⇸(⨮↦↱((⇜$1364$)⋭≵$4348$∌↝$2476$))","expression":"≅≯⇸(⨮↦↱((⇜⪩⨒∯111110)⋭≵⪩⨒∯1003330∌↝⪩⨒∯212230))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":913,"operation_count":5,"complexity_ratio":182.6,"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":1364,"base":4}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4348,"base":4},"right_expr":{"type":"numeric_atoms","value":2476,"base":4}}}}},"used_operators":["apS25hmuAe","sYcpBQ0cFf","jBncVCNhdl","lFBm8KRb8F","9Isq31Ruls"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"⪩⨒∯-22222020303","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-11320","layer":3},{"info":"number node, value=4348","layer":4},{"info":"number node, value=2476","layer":4},{"info":"compute binary expreesion, left_input=4348, right_input=2476, 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=-11320, right_input=0, 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 = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-700428","layer":1},{"info":"compute unary expreesion, input=-700428, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-2794035","layer":0}],"base":4,"result_base":4,"text":"≅≯⇸(⨮↦↱((⇜⪩⨒∯111110)⋭≵⪩⨒∯1003330∌↝⪩⨒∯212230))=⪩⨒∯-22222020303","reverse_text":"⪩⨒∯-22222020303=≅≯⇸(⨮↦↱((⇜⪩⨒∯111110)⋭≵⪩⨒∯1003330∌↝⪩⨒∯212230))","cot":[{"info":"⇜⪩⨒∯111110=⪩⨒∯-2300320","layer":3},{"info":"⪩⨒∯1003330∌↝⪩⨒∯212230=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2300320⋭≵⪩⨒∯0=⪩⨒∯1003","layer":2},{"info":"⨮↦↱⪩⨒∯1003=⪩⨒∯-2223000030","layer":1},{"info":"≅≯⇸⪩⨒∯-2223000030=⪩⨒∯-22222020303","layer":0}]}
{"id":267,"expression_no_base_symbol":"(($2563$≒∊$3362$)⨲)∷($6120$⫲≸⪮$1307$⨸⪁$1519$≒∊$6240$)⊉≛↸(⊀($3251$⇴∐$4128$⨐⩸⫘(≑⋹$3414$)))","expression":"((⪩⨒∯220003≒∊⪩⨒∯310202)⨲)∷(⪩⨒∯1133220⫲≸⪮⪩⨒∯110123⨸⪁⪩⨒∯113233≒∊⪩⨒∯1201200)⊉≛↸(⊀(⪩⨒∯302303⇴∐⪩⨒∯1000200⨐⩸⫘(≑⋹⪩⨒∯311112)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12000,"operation_count":11,"complexity_ratio":1090.909090909091,"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":2563,"base":4},"right_expr":{"type":"numeric_atoms","value":3362,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":6120,"base":4},"right_expr":{"type":"numeric_atoms","value":1307,"base":4}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1519,"base":4},"right_expr":{"type":"numeric_atoms","value":6240,"base":4}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3251,"base":4},"right_expr":{"type":"numeric_atoms","value":4128,"base":4}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3414,"base":4}}}}},"used_operators":["DZ8iAZOCBD","D3AQDKkPcf","nLYMGWM7L8","5KTvxBwnZo","g55IO6H4Gj","P3lXMJvFrc","oPMjh9089D","fu6greOZ01","HnzytWxmAO","6B9nyZLogK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","7j4O788W3g","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","3ViojmjbAp","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"⪩⨒∯10331310","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2563","layer":4},{"info":"number node, value=3362","layer":4},{"info":"compute binary expreesion, left_input=2563, right_input=3362, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2079","layer":3},{"info":"compute unary expreesion, input=-2079, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=4683709","layer":2},{"info":"number node, value=6120","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=6120, right_input=1307, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=6120","layer":3},{"info":"number node, value=1519","layer":4},{"info":"number node, value=6240","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=6240, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1035","layer":3},{"info":"compute binary expreesion, left_input=6120, right_input=-1035, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10170","layer":2},{"info":"compute binary expreesion, left_input=4683709, right_input=10170, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=10170","layer":1},{"info":"number node, value=3251","layer":4},{"info":"number node, value=4128","layer":4},{"info":"compute binary expreesion, left_input=3251, right_input=4128, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=3414","layer":4},{"info":"compute unary expreesion, input=3414, 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 = 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 = 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=10170, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=20340","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯220003≒∊⪩⨒∯310202)⨲)∷(⪩⨒∯1133220⫲≸⪮⪩⨒∯110123⨸⪁⪩⨒∯113233≒∊⪩⨒∯1201200)⊉≛↸(⊀(⪩⨒∯302303⇴∐⪩⨒∯1000200⨐⩸⫘(≑⋹⪩⨒∯311112)))=⪩⨒∯10331310","reverse_text":"⪩⨒∯10331310=((⪩⨒∯220003≒∊⪩⨒∯310202)⨲)∷(⪩⨒∯1133220⫲≸⪮⪩⨒∯110123⨸⪁⪩⨒∯113233≒∊⪩⨒∯1201200)⊉≛↸(⊀(⪩⨒∯302303⇴∐⪩⨒∯1000200⨐⩸⫘(≑⋹⪩⨒∯311112)))","cot":[{"info":"⪩⨒∯220003≒∊⪩⨒∯310202=⪩⨒∯-200133","layer":3},{"info":"⪩⨒∯-200133⨲=⪩⨒∯101313132331","layer":2},{"info":"⪩⨒∯1133220⫲≸⪮⪩⨒∯110123=⪩⨒∯1133220","layer":3},{"info":"⪩⨒∯113233≒∊⪩⨒∯1201200=⪩⨒∯-100023","layer":3},{"info":"⪩⨒∯1133220⨸⪁⪩⨒∯-100023=⪩⨒∯2132322","layer":2},{"info":"⪩⨒∯101313132331∷⪩⨒∯2132322=⪩⨒∯2132322","layer":1},{"info":"⪩⨒∯302303⇴∐⪩⨒∯1000200=NaN","layer":3},{"info":"≑⋹⪩⨒∯311112=⪩⨒∯121302","layer":3},{"info":"NaN⨐⩸⫘⪩⨒∯121302=NaN","layer":2},{"info":"⊀NaN=NaN","layer":1},{"info":"⪩⨒∯2132322⊉≛↸NaN=⪩⨒∯10331310","layer":0}]}
{"id":268,"expression_no_base_symbol":"≻⋜(⊵⊁(($2643$⪠⩆⊳)⫳≱↱($1167$⇔⨋)))","expression":"≻⋜(⊵⊁((⪩⨒∯221103⪠⩆⊳)⫳≱↱(⪩⨒∯102033⇔⨋)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1247,"operation_count":5,"complexity_ratio":249.4,"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":2643,"base":4}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"numeric_atoms","value":1167,"base":4}}}}},"used_operators":["3tj9sqzovi","AvED76WdY7","ZvLB05nZmT","JLbD19bQDL","uBihLCJcMX"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","uBihLCJcMX","k8jYdgA6NY","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2643","layer":4},{"info":"compute unary expreesion, input=2643, 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=1167","layer":4},{"info":"compute unary expreesion, input=1167, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=5932","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5932, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute unary expreesion, input=-204, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=0","layer":0}],"base":4,"result_base":4,"text":"≻⋜(⊵⊁((⪩⨒∯221103⪠⩆⊳)⫳≱↱(⪩⨒∯102033⇔⨋)))=⪩⨒∯0","reverse_text":"⪩⨒∯0=≻⋜(⊵⊁((⪩⨒∯221103⪠⩆⊳)⫳≱↱(⪩⨒∯102033⇔⨋)))","cot":[{"info":"⪩⨒∯221103⪠⩆⊳=⪩⨒∯0","layer":3},{"info":"⪩⨒∯102033⇔⨋=⪩⨒∯1130230","layer":3},{"info":"⪩⨒∯0⫳≱↱⪩⨒∯1130230=⪩⨒∯-3030","layer":2},{"info":"⊵⊁⪩⨒∯-3030=⪩⨒∯0","layer":1},{"info":"≻⋜⪩⨒∯0=⪩⨒∯0","layer":0}]}
{"id":269,"expression_no_base_symbol":"(($1325$⊢)⨿($3433$≚⊃≕$2589$)⇄(($4902$⩁)⪓⨏))⫣⪄⊒((⨑⩽⪐($2645$↸$6283$))⊊)","expression":"((⪩⨒∯110231⊢)⨿(⪩⨒∯311221≚⊃≕⪩⨒∯220131)⇄((⪩⨒∯1030212⩁)⪓⨏))⫣⪄⊒((⨑⩽⪐(⪩⨒∯221111↸⪩⨒∯1202023))⊊)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":44712,"operation_count":10,"complexity_ratio":4471.2,"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":1325,"base":4}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3433,"base":4},"right_expr":{"type":"numeric_atoms","value":2589,"base":4}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"numeric_atoms","value":4902,"base":4}}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2645,"base":4},"right_expr":{"type":"numeric_atoms","value":6283,"base":4}}}}},"used_operators":["RabNbG55vr","3EYGwJThht","abYXlopdE0","40aOVDgCDB","Bmrmz2XGnR","4X9JU4Jbn6","5GqDbVmqXU","W9R8I5fN5A","AF7qkfDlqP","1eCjFl0mb9"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","NTOWxs364D","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1325","layer":4},{"info":"compute unary expreesion, input=1325, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1572","layer":3},{"info":"number node, value=3433","layer":4},{"info":"number node, value=2589","layer":4},{"info":"compute binary expreesion, left_input=3433, right_input=2589, 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=-1572, right_input=67, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=4902","layer":4},{"info":"compute unary expreesion, input=4902, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-36436","layer":3},{"info":"compute unary expreesion, input=-36436, 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 binary expreesion, left_input=67, right_input=nan, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":1},{"info":"number node, value=2645","layer":4},{"info":"number node, value=6283","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=6283, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2645","layer":3},{"info":"compute unary expreesion, input=2645, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2372","layer":2},{"info":"compute unary expreesion, input=-2372, 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":"compute binary expreesion, left_input=nan, right_input=90927, 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":4,"result_base":4,"text":"((⪩⨒∯110231⊢)⨿(⪩⨒∯311221≚⊃≕⪩⨒∯220131)⇄((⪩⨒∯1030212⩁)⪓⨏))⫣⪄⊒((⨑⩽⪐(⪩⨒∯221111↸⪩⨒∯1202023))⊊)=NaN","reverse_text":"NaN=((⪩⨒∯110231⊢)⨿(⪩⨒∯311221≚⊃≕⪩⨒∯220131)⇄((⪩⨒∯1030212⩁)⪓⨏))⫣⪄⊒((⨑⩽⪐(⪩⨒∯221111↸⪩⨒∯1202023))⊊)","cot":[{"info":"⪩⨒∯110231⊢=⪩⨒∯-120210","layer":3},{"info":"⪩⨒∯311221≚⊃≕⪩⨒∯220131=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯-120210⨿⪩⨒∯1003=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯1030212⩁=⪩⨒∯-20321110","layer":3},{"info":"⪩⨒∯-20321110⪓⨏=NaN","layer":2},{"info":"⪩⨒∯1003⇄NaN=NaN","layer":1},{"info":"⪩⨒∯221111↸⪩⨒∯1202023=⪩⨒∯221111","layer":3},{"info":"⨑⩽⪐⪩⨒∯221111=⪩⨒∯-211010","layer":2},{"info":"⪩⨒∯-211010⊊=⪩⨒∯112030233","layer":1},{"info":"NaN⫣⪄⊒⪩⨒∯112030233=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"(⪡⇡≛($1605$⩺⪪$2282$))↹⊜(($1164$∙∹∝$2991$)⩧⪆$2262$≝⊿$3729$)⇌⫙⪟(($1910$⫁⪎$2753$⇐≅)⪁(↥($3187$∙⊟$7057$)))","expression":"(⪡⇡≛(⪩⨒∯121011⩺⪪⪩⨒∯203222))↹⊜((⪩⨒∯102030∙∹∝⪩⨒∯232233)⩧⪆⪩⨒∯203112≝⊿⪩⨒∯322101)⇌⫙⪟((⪩⨒∯131312⫁⪎⪩⨒∯223001⇐≅)⪁(↥(⪩⨒∯301303∙⊟⪩⨒∯1232101)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9824,"operation_count":12,"complexity_ratio":818.6666666666666,"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":1605,"base":4},"right_expr":{"type":"numeric_atoms","value":2282,"base":4}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1164,"base":4},"right_expr":{"type":"numeric_atoms","value":2991,"base":4}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2262,"base":4},"right_expr":{"type":"numeric_atoms","value":3729,"base":4}}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⇐≅","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1910,"base":4},"right_expr":{"type":"numeric_atoms","value":2753,"base":4}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3187,"base":4},"right_expr":{"type":"numeric_atoms","value":7057,"base":4}}}}},"used_operators":["AFVx7xoS7T","9bazX3JMtO","qL4PrbW1Dq","uvdQJvN4PV","Ikt5ks8PT7","HmxsFra2vL","OKKcZfAt5B","I7sXao9hZE","wEfv7U73WA","xRrnTEsQ6j","A8NUZmVepG","SxTAKzQCrw"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","eewbuw0ToL","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","12rbrZMWeM","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","k8jYdgA6NY","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1605","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=2282, 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 = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1818","layer":2},{"info":"number node, value=1164","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=2991, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2262","layer":4},{"info":"number node, value=3729","layer":4},{"info":"compute binary expreesion, left_input=2262, right_input=3729, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10253","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10253, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=10253","layer":2},{"info":"compute binary expreesion, left_input=-1818, right_input=10253, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-82120","layer":1},{"info":"number node, value=1910","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=2753, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-843","layer":3},{"info":"compute unary expreesion, input=-843, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=370","layer":2},{"info":"number node, value=3187","layer":4},{"info":"number node, value=7057","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=7057, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=51277","layer":3},{"info":"compute unary expreesion, input=51277, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=22","layer":2},{"info":"compute binary expreesion, left_input=370, right_input=22, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-82120, 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":4,"result_base":4,"text":"(⪡⇡≛(⪩⨒∯121011⩺⪪⪩⨒∯203222))↹⊜((⪩⨒∯102030∙∹∝⪩⨒∯232233)⩧⪆⪩⨒∯203112≝⊿⪩⨒∯322101)⇌⫙⪟((⪩⨒∯131312⫁⪎⪩⨒∯223001⇐≅)⪁(↥(⪩⨒∯301303∙⊟⪩⨒∯1232101)))=NaN","reverse_text":"NaN=(⪡⇡≛(⪩⨒∯121011⩺⪪⪩⨒∯203222))↹⊜((⪩⨒∯102030∙∹∝⪩⨒∯232233)⩧⪆⪩⨒∯203112≝⊿⪩⨒∯322101)⇌⫙⪟((⪩⨒∯131312⫁⪎⪩⨒∯223001⇐≅)⪁(↥(⪩⨒∯301303∙⊟⪩⨒∯1232101)))","cot":[{"info":"⪩⨒∯121011⩺⪪⪩⨒∯203222=⪩⨒∯-130122","layer":3},{"info":"⪡⇡≛⪩⨒∯-130122=⪩⨒∯-130122","layer":2},{"info":"⪩⨒∯102030∙∹∝⪩⨒∯232233=⪩⨒∯0","layer":3},{"info":"⪩⨒∯203112≝⊿⪩⨒∯322101=⪩⨒∯-2200031","layer":3},{"info":"⪩⨒∯0⩧⪆⪩⨒∯-2200031=⪩⨒∯2200031","layer":2},{"info":"⪩⨒∯-130122↹⊜⪩⨒∯2200031=⪩⨒∯-110003020","layer":1},{"info":"⪩⨒∯131312⫁⪎⪩⨒∯223001=⪩⨒∯-31023","layer":3},{"info":"⪩⨒∯-31023⇐≅=⪩⨒∯11302","layer":2},{"info":"⪩⨒∯301303∙⊟⪩⨒∯1232101=⪩⨒∯30201031","layer":3},{"info":"↥⪩⨒∯30201031=⪩⨒∯112","layer":2},{"info":"⪩⨒∯11302⪁⪩⨒∯112=NaN","layer":1},{"info":"⪩⨒∯-110003020⇌⫙⪟NaN=NaN","layer":0}]}
{"id":271,"expression_no_base_symbol":"⨰⫟⨤((⇖⫷⫕(⨮↦↱$1282$))⩠)","expression":"⨰⫟⨤((⇖⫷⫕(⨮↦↱⪩⨒∯110002))⩠)","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":38850,"operation_count":4,"complexity_ratio":9712.5,"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":1282,"base":4}}}}},"used_operators":["Tw270M8GLb","sJAwomhLZr","UHmRx3INFg","sYcpBQ0cFf"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG"],"result":"⪩⨒∯101020311312","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1282","layer":4},{"info":"compute unary expreesion, input=1282, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-1857042","layer":3},{"info":"compute unary expreesion, input=-1857042, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"compute unary expreesion, input=2822, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":0}],"base":4,"result_base":4,"text":"⨰⫟⨤((⇖⫷⫕(⨮↦↱⪩⨒∯110002))⩠)=⪩⨒∯101020311312","reverse_text":"⪩⨒∯101020311312=⨰⫟⨤((⇖⫷⫕(⨮↦↱⪩⨒∯110002))⩠)","cot":[{"info":"⨮↦↱⪩⨒∯110002=⪩⨒∯-13011120102","layer":3},{"info":"⇖⫷⫕⪩⨒∯-13011120102=⪩⨒∯230012","layer":2},{"info":"⪩⨒∯230012⩠=⪩⨒∯0","layer":1},{"info":"⨰⫟⨤⪩⨒∯0=⪩⨒∯101020311312","layer":0}]}
{"id":272,"expression_no_base_symbol":"(⋠∜((∡$5932$)≄⊠$2516$⩦$3789$))⊕∕(($4686$⫁$2650$⨵⪆(⇖⫷⫕$6483$))⊨(∨∊⋏$3879$)⨂≜($4409$⫉⨲⊜$1490$))","expression":"(⋠∜((∡⪩⨒∯1130230)≄⊠⪩⨒∯213110⩦⪩⨒∯323031))⊕∕((⪩⨒∯1021032⫁⪩⨒∯221122⨵⪆(⇖⫷⫕⪩⨒∯1211103))⊨(∨∊⋏⪩⨒∯330213)⨂≜(⪩⨒∯1010321⫉⨲⊜⪩⨒∯113102))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":81072,"operation_count":12,"complexity_ratio":6756.0,"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":5932,"base":4}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2516,"base":4},"right_expr":{"type":"numeric_atoms","value":3789,"base":4}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4686,"base":4},"right_expr":{"type":"numeric_atoms","value":2650,"base":4}},"right_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":6483,"base":4}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3879,"base":4}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4409,"base":4},"right_expr":{"type":"numeric_atoms","value":1490,"base":4}}}}},"used_operators":["9cloC0Ngie","ZJpFhNJr3x","vXNesLlMH1","pRsWfj4Fpp","0kmYd0q39Y","vg4gO5BX6G","2DQ55sFlQl","0ajvFaJAv0","UHmRx3INFg","k1SHOSEABc","R5aXW34M0v","WhqkvtTD3t"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","eewbuw0ToL","zVYPLywUTj"],"result":"⪩⨒∯1103233130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5932","layer":4},{"info":"compute unary expreesion, input=5932, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-5932","layer":3},{"info":"number node, value=2516","layer":4},{"info":"number node, value=3789","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=3789, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=5032","layer":3},{"info":"compute binary expreesion, left_input=-5932, right_input=5032, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=85180","layer":2},{"info":"compute unary expreesion, input=85180, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=343004","layer":1},{"info":"number node, value=4686","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=4686, right_input=2650, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=6483","layer":4},{"info":"compute unary expreesion, input=6483, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2822, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3879","layer":4},{"info":"compute unary expreesion, input=3879, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=79895","layer":3},{"info":"number node, value=4409","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=4409, right_input=1490, 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=79895, right_input=0, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, 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=343004, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=343004","layer":0}],"base":4,"result_base":4,"text":"(⋠∜((∡⪩⨒∯1130230)≄⊠⪩⨒∯213110⩦⪩⨒∯323031))⊕∕((⪩⨒∯1021032⫁⪩⨒∯221122⨵⪆(⇖⫷⫕⪩⨒∯1211103))⊨(∨∊⋏⪩⨒∯330213)⨂≜(⪩⨒∯1010321⫉⨲⊜⪩⨒∯113102))=⪩⨒∯1103233130","reverse_text":"⪩⨒∯1103233130=(⋠∜((∡⪩⨒∯1130230)≄⊠⪩⨒∯213110⩦⪩⨒∯323031))⊕∕((⪩⨒∯1021032⫁⪩⨒∯221122⨵⪆(⇖⫷⫕⪩⨒∯1211103))⊨(∨∊⋏⪩⨒∯330213)⨂≜(⪩⨒∯1010321⫉⨲⊜⪩⨒∯113102))","cot":[{"info":"∡⪩⨒∯1130230=⪩⨒∯-1130230","layer":3},{"info":"⪩⨒∯213110⩦⪩⨒∯323031=⪩⨒∯1032220","layer":3},{"info":"⪩⨒∯-1130230≄⊠⪩⨒∯1032220=⪩⨒∯110302330","layer":2},{"info":"⋠∜⪩⨒∯110302330=⪩⨒∯1103233130","layer":1},{"info":"⪩⨒∯1021032⫁⪩⨒∯221122=⪩⨒∯2200","layer":3},{"info":"⇖⫷⫕⪩⨒∯1211103=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯2200⨵⪆⪩⨒∯230012=⪩⨒∯2200","layer":2},{"info":"∨∊⋏⪩⨒∯330213=⪩⨒∯103200113","layer":3},{"info":"⪩⨒∯1010321⫉⨲⊜⪩⨒∯113102=⪩⨒∯0","layer":3},{"info":"⪩⨒∯103200113⨂≜⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯2200⊨NaN=NaN","layer":1},{"info":"⪩⨒∯1103233130⊕∕NaN=⪩⨒∯1103233130","layer":0}]}
{"id":273,"expression_no_base_symbol":"((⩷$2292$)⋫)⨥⫆($1000$⪟⇏$2446$⪨⊡$2931$⫯⪬∳$1075$)⇄((($1441$⨽$4724$)⫸⇳$2823$⪟⇏$3122$)≬⇓($3153$↺$1311$)⋝⋈⪟$1133$⫁⪎$4692$)","expression":"((⩷⪩⨒∯203310)⋫)⨥⫆(⪩⨒∯33220⪟⇏⪩⨒∯212032⪨⊡⪩⨒∯231303⫯⪬∳⪩⨒∯100303)⇄(((⪩⨒∯112201⨽⪩⨒∯1021310)⫸⇳⪩⨒∯230013⪟⇏⪩⨒∯300302)≬⇓(⪩⨒∯301101↺⪩⨒∯110133)⋝⋈⪟⪩⨒∯101231⫁⪎⪩⨒∯1021110)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29193,"operation_count":14,"complexity_ratio":2085.214285714286,"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":2292,"base":4}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1000,"base":4},"right_expr":{"type":"numeric_atoms","value":2446,"base":4}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2931,"base":4},"right_expr":{"type":"numeric_atoms","value":1075,"base":4}}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1441,"base":4},"right_expr":{"type":"numeric_atoms","value":4724,"base":4}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2823,"base":4},"right_expr":{"type":"numeric_atoms","value":3122,"base":4}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3153,"base":4},"right_expr":{"type":"numeric_atoms","value":1311,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1133,"base":4},"right_expr":{"type":"numeric_atoms","value":4692,"base":4}}}}},"used_operators":["3EYGwJThht","yXekIHxTD4","JL8yIekQnl","1h0rLqGiFr","kuIXHzHcAH","GODebY97qR","d7ASUq0ydm","jWTQ2TZYIH","gx7XJ7hdpj","8HhzD0ZcuI","2DDjHMKMc0","7j4O788W3g","xRrnTEsQ6j"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","tmPS8pqC7x","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⪩⨒∯13210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2292","layer":4},{"info":"compute unary expreesion, input=2292, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-27583","layer":3},{"info":"compute unary expreesion, input=-27583, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=27583","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=2446","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2446, 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=2931","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=1075, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=13613","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=13613, 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=27583, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1156","layer":1},{"info":"number node, value=1441","layer":4},{"info":"number node, value=4724","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=4724, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-6242301","layer":3},{"info":"number node, value=2823","layer":4},{"info":"number node, value=3122","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=3122, 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=-6242301, right_input=-1, 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":"number node, value=3153","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=3153, right_input=1311, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1311","layer":3},{"info":"number node, value=1133","layer":4},{"info":"number node, value=4692","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=4692, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-3559","layer":3},{"info":"compute binary expreesion, left_input=1311, right_input=-3559, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1311","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1311, 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=-1156, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=484","layer":0}],"base":4,"result_base":4,"text":"((⩷⪩⨒∯203310)⋫)⨥⫆(⪩⨒∯33220⪟⇏⪩⨒∯212032⪨⊡⪩⨒∯231303⫯⪬∳⪩⨒∯100303)⇄(((⪩⨒∯112201⨽⪩⨒∯1021310)⫸⇳⪩⨒∯230013⪟⇏⪩⨒∯300302)≬⇓(⪩⨒∯301101↺⪩⨒∯110133)⋝⋈⪟⪩⨒∯101231⫁⪎⪩⨒∯1021110)=⪩⨒∯13210","reverse_text":"⪩⨒∯13210=((⩷⪩⨒∯203310)⋫)⨥⫆(⪩⨒∯33220⪟⇏⪩⨒∯212032⪨⊡⪩⨒∯231303⫯⪬∳⪩⨒∯100303)⇄(((⪩⨒∯112201⨽⪩⨒∯1021310)⫸⇳⪩⨒∯230013⪟⇏⪩⨒∯300302)≬⇓(⪩⨒∯301101↺⪩⨒∯110133)⋝⋈⪟⪩⨒∯101231⫁⪎⪩⨒∯1021110)","cot":[{"info":"⩷⪩⨒∯203310=⪩⨒∯-12232333","layer":3},{"info":"⪩⨒∯-12232333⋫=⪩⨒∯12232333","layer":2},{"info":"⪩⨒∯33220⪟⇏⪩⨒∯212032=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯231303⫯⪬∳⪩⨒∯100303=⪩⨒∯3110231","layer":3},{"info":"⪩⨒∯-1⪨⊡⪩⨒∯3110231=⪩⨒∯0","layer":2},{"info":"⪩⨒∯12232333⨥⫆⪩⨒∯0=⪩⨒∯-102010","layer":1},{"info":"⪩⨒∯112201⨽⪩⨒∯1021310=⪩⨒∯-113303333331","layer":3},{"info":"⪩⨒∯230013⪟⇏⪩⨒∯300302=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯-113303333331⫸⇳⪩⨒∯-1=⪩⨒∯0","layer":2},{"info":"⪩⨒∯301101↺⪩⨒∯110133=⪩⨒∯110133","layer":3},{"info":"⪩⨒∯101231⫁⪎⪩⨒∯1021110=⪩⨒∯-313213","layer":3},{"info":"⪩⨒∯110133⋝⋈⪟⪩⨒∯-313213=⪩⨒∯110133","layer":2},{"info":"⪩⨒∯0≬⇓⪩⨒∯110133=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-102010⇄⪩⨒∯0=⪩⨒∯13210","layer":0}]}
{"id":274,"expression_no_base_symbol":"((∓⪦$6441$)⨚$1326$∋$2255$↸($1035$↓$3694$)≦↸(⫯$5425$))∀⇚≩($1971$⊮⊟↴$3023$⨸⪁$2209$≥⨤⩑$1833$)⪭(≉$9462$∀⇚≩$7844$)","expression":"((∓⪦⪩⨒∯1210221)⨚⪩⨒∯110232∋⪩⨒∯203033↸(⪩⨒∯100023↓⪩⨒∯321232)≦↸(⫯⪩⨒∯1110301))∀⇚≩(⪩⨒∯132303⊮⊟↴⪩⨒∯233033⨸⪁⪩⨒∯202201≥⨤⩑⪩⨒∯130221)⪭(≉⪩⨒∯2103312∀⇚≩⪩⨒∯1322210)","highest_n_order":3,"priority_hierarchical_complexity":12,"normalized_expansion_degree":119353,"operation_count":14,"complexity_ratio":8525.214285714286,"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":6441,"base":4}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1326,"base":4},"right_expr":{"type":"numeric_atoms","value":2255,"base":4}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1035,"base":4},"right_expr":{"type":"numeric_atoms","value":3694,"base":4}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":5425,"base":4}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1971,"base":4},"right_expr":{"type":"numeric_atoms","value":3023,"base":4}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2209,"base":4},"right_expr":{"type":"numeric_atoms","value":1833,"base":4}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":9462,"base":4},"right_expr":{"type":"numeric_atoms","value":7844,"base":4}}}}},"used_operators":["LRNGc0VcxI","1eCjFl0mb9","nREPSIbpBE","D309nIvmXG","ukq6epAj5P","RygbFNSyEJ","Af076pWI7l","H6BK1Evt7c","j9kHMeSvPp","g55IO6H4Gj","QDVgd2eftb","gJLn6v0xnP","e1ybzncUwg"],"dependent_operators":["X99M06cbEe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","BjRHVeLaeN","12rbrZMWeM","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6441","layer":4},{"info":"compute unary expreesion, input=6441, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=6033","layer":3},{"info":"number node, value=1326","layer":4},{"info":"number node, value=2255","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=2255, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=4687640","layer":3},{"info":"compute binary expreesion, left_input=6033, right_input=4687640, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-18737560","layer":2},{"info":"number node, value=1035","layer":4},{"info":"number node, value=3694","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=3694, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=5425","layer":4},{"info":"compute unary expreesion, input=5425, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-213062","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-213062, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=815","layer":2},{"info":"compute binary expreesion, left_input=-18737560, right_input=815, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-18737560","layer":1},{"info":"number node, value=1971","layer":4},{"info":"number node, value=3023","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=3023, 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=2209","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=2209, right_input=1833, 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=0, right_input=1234, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2468","layer":2},{"info":"number node, value=9462","layer":4},{"info":"number node, value=7844","layer":4},{"info":"compute binary expreesion, left_input=9462, right_input=7844, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2468, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-18737560, 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":4,"result_base":4,"text":"((∓⪦⪩⨒∯1210221)⨚⪩⨒∯110232∋⪩⨒∯203033↸(⪩⨒∯100023↓⪩⨒∯321232)≦↸(⫯⪩⨒∯1110301))∀⇚≩(⪩⨒∯132303⊮⊟↴⪩⨒∯233033⨸⪁⪩⨒∯202201≥⨤⩑⪩⨒∯130221)⪭(≉⪩⨒∯2103312∀⇚≩⪩⨒∯1322210)=NaN","reverse_text":"NaN=((∓⪦⪩⨒∯1210221)⨚⪩⨒∯110232∋⪩⨒∯203033↸(⪩⨒∯100023↓⪩⨒∯321232)≦↸(⫯⪩⨒∯1110301))∀⇚≩(⪩⨒∯132303⊮⊟↴⪩⨒∯233033⨸⪁⪩⨒∯202201≥⨤⩑⪩⨒∯130221)⪭(≉⪩⨒∯2103312∀⇚≩⪩⨒∯1322210)","cot":[{"info":"∓⪦⪩⨒∯1210221=⪩⨒∯1132101","layer":3},{"info":"⪩⨒∯110232∋⪩⨒∯203033=⪩⨒∯101320130120","layer":3},{"info":"⪩⨒∯1132101⨚⪩⨒∯101320130120=⪩⨒∯-1013132212120","layer":2},{"info":"⪩⨒∯100023↓⪩⨒∯321232=⪩⨒∯-2012","layer":3},{"info":"⫯⪩⨒∯1110301=⪩⨒∯-310001012","layer":3},{"info":"⪩⨒∯-2012≦↸⪩⨒∯-310001012=⪩⨒∯30233","layer":2},{"info":"⪩⨒∯-1013132212120↸⪩⨒∯30233=⪩⨒∯-1013132212120","layer":1},{"info":"⪩⨒∯132303⊮⊟↴⪩⨒∯233033=⪩⨒∯0","layer":3},{"info":"⪩⨒∯202201≥⨤⩑⪩⨒∯130221=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯0⨸⪁⪩⨒∯103102=⪩⨒∯212210","layer":2},{"info":"⪩⨒∯2103312∀⇚≩⪩⨒∯1322210=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⪩⨒∯212210⪭NaN=NaN","layer":1},{"info":"⪩⨒∯-1013132212120∀⇚≩NaN=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"(≋($4535$⫩))⩖⊿((⩩$1400$)%$1026$⪎↠$1429$)⇗⋫","expression":"(≋(⪩⨒∯1012313⫩))⩖⊿((⩩⪩⨒∯111320)%⪩⨒∯100002⪎↠⪩⨒∯112111)⇗⋫","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6914,"operation_count":7,"complexity_ratio":987.7142857142857,"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":4535,"base":4}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1400,"base":4}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1026,"base":4},"right_expr":{"type":"numeric_atoms","value":1429,"base":4}}}}},"used_operators":["hpqmaQFPrd","RZ5CV9rWsJ","61wBmkZwlr","6aG7x05OhS","k8jYdgA6NY","kMhfGuqI2H","3tVxb0NHM4"],"dependent_operators":["rxpJgHHUmx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","7j4O788W3g","dWAJyo7jo9","rysDP5nf3Z","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=4535","layer":4},{"info":"compute unary expreesion, input=4535, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', 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=1400","layer":4},{"info":"compute unary expreesion, input=1400, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1429, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(≋(⪩⨒∯1012313⫩))⩖⊿((⩩⪩⨒∯111320)%⪩⨒∯100002⪎↠⪩⨒∯112111)⇗⋫=NaN","reverse_text":"NaN=(≋(⪩⨒∯1012313⫩))⩖⊿((⩩⪩⨒∯111320)%⪩⨒∯100002⪎↠⪩⨒∯112111)⇗⋫","cot":[{"info":"⪩⨒∯1012313⫩=NaN","layer":3},{"info":"≋NaN=NaN","layer":2},{"info":"⩩⪩⨒∯111320=NaN","layer":3},{"info":"⪩⨒∯100002⪎↠⪩⨒∯112111=⪩⨒∯2200","layer":3},{"info":"NaN%⪩⨒∯2200=NaN","layer":2},{"info":"NaN⩖⊿NaN=NaN","layer":1},{"info":"NaN⇗⋫=NaN","layer":0}]}
{"id":276,"expression_no_base_symbol":"⋼∭⪍(⋎⨆(($1055$⊓⋫)⨘⋶⪀))","expression":"⋼∭⪍(⋎⨆((⪩⨒∯100133⊓⋫)⨘⋶⪀))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":361,"operation_count":4,"complexity_ratio":90.25,"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":1055,"base":4}}}}},"used_operators":["DbCuESL50I","E64sFOc4tB","XVKwrhznBb","IqGBaFP0uj"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q"],"result":"⪩⨒∯-1332331103310","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-1183","layer":3},{"info":"compute unary expreesion, input=-1183, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=8320752, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-33281268","layer":0}],"base":4,"result_base":4,"text":"⋼∭⪍(⋎⨆((⪩⨒∯100133⊓⋫)⨘⋶⪀))=⪩⨒∯-1332331103310","reverse_text":"⪩⨒∯-1332331103310=⋼∭⪍(⋎⨆((⪩⨒∯100133⊓⋫)⨘⋶⪀))","cot":[{"info":"⪩⨒∯100133⊓⋫=⪩⨒∯-102133","layer":3},{"info":"⪩⨒∯-102133⨘⋶⪀=NaN","layer":2},{"info":"⋎⨆NaN=⪩⨒∯133233123300","layer":1},{"info":"⋼∭⪍⪩⨒∯133233123300=⪩⨒∯-1332331103310","layer":0}]}
{"id":277,"expression_no_base_symbol":"(⊖∈($7139$+$1000$))∥⊢⊲(⫛⫱⨽($1190$⫦⪉$4816$))⊉↱≁(($2266$⩇∃⫛$2168$⪐)⊎←↗)","expression":"(⊖∈(⪩⨒∯1233203+⪩⨒∯33220))∥⊢⊲(⫛⫱⨽(⪩⨒∯102212⫦⪉⪩⨒∯1023100))⊉↱≁((⪩⨒∯203122⩇∃⫛⪩⨒∯201320⪐)⊎←↗)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1560,"operation_count":9,"complexity_ratio":173.33333333333334,"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":7139,"base":4},"right_expr":{"type":"numeric_atoms","value":1000,"base":4}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1190,"base":4},"right_expr":{"type":"numeric_atoms","value":4816,"base":4}}}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":2266,"base":4},"right_expr":{"type":"numeric_atoms","value":2168,"base":4}}}}},"used_operators":["w2P8NbNXyL","v1UQAVDJRr","YFxL8Sc2Zy","W4YGzv6Whe","DlLNRPXxWL","wscyQdcy20","dwb5p0fa6d","eH2TOUuTDT","1aApVXNlOP"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","EBcxylXtPf","rGHVDoGpnC","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rGHVDoGpnC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","sdazOOVcIp","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"⪩⨒∯12000323322","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7139","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=7139, right_input=1000, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8139","layer":3},{"info":"compute unary expreesion, input=8139, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=157186","layer":2},{"info":"number node, value=1190","layer":4},{"info":"number node, value=4816","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=4816, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2520","layer":3},{"info":"compute unary expreesion, input=2520, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=157186, right_input=0, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=157186","layer":1},{"info":"number node, value=2266","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=2168, 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=375","layer":3},{"info":"compute unary expreesion, input=375, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=750","layer":2},{"info":"compute unary expreesion, input=750, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-815","layer":1},{"info":"compute binary expreesion, left_input=157186, right_input=-815, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=1576698","layer":0}],"base":4,"result_base":4,"text":"(⊖∈(⪩⨒∯1233203+⪩⨒∯33220))∥⊢⊲(⫛⫱⨽(⪩⨒∯102212⫦⪉⪩⨒∯1023100))⊉↱≁((⪩⨒∯203122⩇∃⫛⪩⨒∯201320⪐)⊎←↗)=⪩⨒∯12000323322","reverse_text":"⪩⨒∯12000323322=(⊖∈(⪩⨒∯1233203+⪩⨒∯33220))∥⊢⊲(⫛⫱⨽(⪩⨒∯102212⫦⪉⪩⨒∯1023100))⊉↱≁((⪩⨒∯203122⩇∃⫛⪩⨒∯201320⪐)⊎←↗)","cot":[{"info":"⪩⨒∯1233203+⪩⨒∯33220=⪩⨒∯1333023","layer":3},{"info":"⊖∈⪩⨒∯1333023=⪩⨒∯212120002","layer":2},{"info":"⪩⨒∯102212⫦⪉⪩⨒∯1023100=⪩⨒∯213120","layer":3},{"info":"⫛⫱⨽⪩⨒∯213120=⪩⨒∯0","layer":2},{"info":"⪩⨒∯212120002∥⊢⊲⪩⨒∯0=⪩⨒∯212120002","layer":1},{"info":"⪩⨒∯203122⩇∃⫛⪩⨒∯201320=⪩⨒∯11313","layer":3},{"info":"⪩⨒∯11313⪐=⪩⨒∯23232","layer":2},{"info":"⪩⨒∯23232⊎←↗=⪩⨒∯-30233","layer":1},{"info":"⪩⨒∯212120002⊉↱≁⪩⨒∯-30233=⪩⨒∯12000323322","layer":0}]}
{"id":278,"expression_no_base_symbol":"⫯(($6293$⫻⋑⊟)⇣⩺⋵$1468$≠≀$6014$≳⇉(⫡⇟⇯$2561$)⨚⇆$2573$↤⩊$7941$)","expression":"⫯((⪩⨒∯1202111⫻⋑⊟)⇣⩺⋵⪩⨒∯112330≠≀⪩⨒∯1131332≳⇉(⫡⇟⇯⪩⨒∯220001)⨚⇆⪩⨒∯220031↤⩊⪩⨒∯1330011)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":547,"operation_count":8,"complexity_ratio":68.375,"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":6293,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1468,"base":4},"right_expr":{"type":"numeric_atoms","value":6014,"base":4}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2561,"base":4}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2573,"base":4},"right_expr":{"type":"numeric_atoms","value":7941,"base":4}}}}},"used_operators":["H6BK1Evt7c","V0kx6qeWkN","F4yD0voBRQ","o575Zjdmzy","IwW236VD4Y","lwHaAYXP2r","qWUSsah53b","13rbtpv6ld"],"dependent_operators":["2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DZ8iAZOCBD","P8v4zCKN1o","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6293","layer":4},{"info":"compute unary expreesion, input=6293, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-12076","layer":3},{"info":"number node, value=1468","layer":4},{"info":"number node, value=6014","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=6014, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2630","layer":3},{"info":"compute binary expreesion, left_input=-12076, right_input=-2630, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-42982","layer":2},{"info":"number node, value=2561","layer":4},{"info":"compute unary expreesion, input=2561, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=5990","layer":3},{"info":"number node, value=2573","layer":4},{"info":"number node, value=7941","layer":4},{"info":"compute binary expreesion, left_input=2573, right_input=7941, 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=5990, 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=-42982, right_input=-inf, 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 unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⫯((⪩⨒∯1202111⫻⋑⊟)⇣⩺⋵⪩⨒∯112330≠≀⪩⨒∯1131332≳⇉(⫡⇟⇯⪩⨒∯220001)⨚⇆⪩⨒∯220031↤⩊⪩⨒∯1330011)=NaN","reverse_text":"NaN=⫯((⪩⨒∯1202111⫻⋑⊟)⇣⩺⋵⪩⨒∯112330≠≀⪩⨒∯1131332≳⇉(⫡⇟⇯⪩⨒∯220001)⨚⇆⪩⨒∯220031↤⩊⪩⨒∯1330011)","cot":[{"info":"⪩⨒∯1202111⫻⋑⊟=⪩⨒∯-2330230","layer":3},{"info":"⪩⨒∯112330≠≀⪩⨒∯1131332=⪩⨒∯-221012","layer":3},{"info":"⪩⨒∯-2330230⇣⩺⋵⪩⨒∯-221012=⪩⨒∯-22133212","layer":2},{"info":"⫡⇟⇯⪩⨒∯220001=⪩⨒∯1131212","layer":3},{"info":"⪩⨒∯220031↤⩊⪩⨒∯1330011=NaN","layer":3},{"info":"⪩⨒∯1131212⨚⇆NaN=-Inf","layer":2},{"info":"⪩⨒∯-22133212≳⇉-Inf=NaN","layer":1},{"info":"⫯NaN=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"((⇵⪽(⊥$1325$))⊉≛↸(⨩∲⋌$7372$⨜⨶$1158$))∊∟⩊($3652$⩒⫫$4677$⪄$1438$⇴$1844$)⪟⇏(($3887$⊎←↗)⋳⪒$3203$⨂≜$4236$)","expression":"((⇵⪽(⊥⪩⨒∯110231))⊉≛↸(⨩∲⋌⪩⨒∯1303030⨜⨶⪩⨒∯102012))∊∟⩊(⪩⨒∯321010⩒⫫⪩⨒∯1021011⪄⪩⨒∯112132⇴⪩⨒∯130310)⪟⇏((⪩⨒∯330233⊎←↗)⋳⪒⪩⨒∯302003⨂≜⪩⨒∯1002030)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3450,"operation_count":13,"complexity_ratio":265.38461538461536,"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":1325,"base":4}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":7372,"base":4},"right_expr":{"type":"numeric_atoms","value":1158,"base":4}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3652,"base":4},"right_expr":{"type":"numeric_atoms","value":4677,"base":4}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1438,"base":4},"right_expr":{"type":"numeric_atoms","value":1844,"base":4}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":3887,"base":4}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":3203,"base":4},"right_expr":{"type":"numeric_atoms","value":4236,"base":4}}}}},"used_operators":["ddLRYrp01A","DZ8iAZOCBD","ZGCBLdVRRX","Q3PJZHRvZv","aSik1wnThz","HiPekx5b7W","GODebY97qR","SUmda5xLS4","KFSx94NKJn","4JB6nKBMSY","12rbrZMWeM","dwb5p0fa6d","k1SHOSEABc"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","U7g4x0WXJJ","fu6greOZ01","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","sdazOOVcIp","NTOWxs364D","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1325","layer":4},{"info":"compute unary expreesion, input=1325, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=7372","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=7372, right_input=1158, 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=-2060","layer":3},{"info":"compute unary expreesion, input=-2060, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1823","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1823, 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=3652","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=3652, right_input=4677, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3350","layer":3},{"info":"number node, value=1438","layer":4},{"info":"number node, value=1844","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=1844, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=11930","layer":3},{"info":"compute binary expreesion, left_input=3350, right_input=11930, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-539609","layer":2},{"info":"number node, value=3887","layer":4},{"info":"compute unary expreesion, input=3887, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-7089","layer":3},{"info":"number node, value=3203","layer":4},{"info":"number node, value=4236","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=4236, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7089, 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=-539609, 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":"compute binary expreesion, left_input=nan, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⇵⪽(⊥⪩⨒∯110231))⊉≛↸(⨩∲⋌⪩⨒∯1303030⨜⨶⪩⨒∯102012))∊∟⩊(⪩⨒∯321010⩒⫫⪩⨒∯1021011⪄⪩⨒∯112132⇴⪩⨒∯130310)⪟⇏((⪩⨒∯330233⊎←↗)⋳⪒⪩⨒∯302003⨂≜⪩⨒∯1002030)=NaN","reverse_text":"NaN=((⇵⪽(⊥⪩⨒∯110231))⊉≛↸(⨩∲⋌⪩⨒∯1303030⨜⨶⪩⨒∯102012))∊∟⩊(⪩⨒∯321010⩒⫫⪩⨒∯1021011⪄⪩⨒∯112132⇴⪩⨒∯130310)⪟⇏((⪩⨒∯330233⊎←↗)⋳⪒⪩⨒∯302003⨂≜⪩⨒∯1002030)","cot":[{"info":"⊥⪩⨒∯110231=NaN","layer":3},{"info":"⇵⪽NaN=NaN","layer":2},{"info":"⪩⨒∯1303030⨜⨶⪩⨒∯102012=⪩⨒∯-200030","layer":3},{"info":"⨩∲⋌⪩⨒∯-200030=⪩⨒∯-130133","layer":2},{"info":"NaN⊉≛↸⪩⨒∯-130133=NaN","layer":1},{"info":"⪩⨒∯321010⩒⫫⪩⨒∯1021011=⪩⨒∯310112","layer":3},{"info":"⪩⨒∯112132⇴⪩⨒∯130310=⪩⨒∯2322122","layer":3},{"info":"⪩⨒∯310112⪄⪩⨒∯2322122=⪩⨒∯-2003233121","layer":2},{"info":"⪩⨒∯330233⊎←↗=⪩⨒∯-1232301","layer":3},{"info":"⪩⨒∯302003⨂≜⪩⨒∯1002030=NaN","layer":3},{"info":"⪩⨒∯-1232301⋳⪒NaN=NaN","layer":2},{"info":"⪩⨒∯-2003233121⪟⇏NaN=⪩⨒∯0","layer":1},{"info":"NaN∊∟⩊⪩⨒∯0=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"(($4250$∠⫱$1537$)⋾⨃∁(⇙⪊$3053$))≄⊠(⫓⪴$3871$)⊋($1239$⇟⨁⪰)⪭≯($4940$⩍⋽⫝̸$5229$⫔⩽⩺$1868$≨$7030$)⇻⋧≁($7135$⇤$6281$∼($2449$∝$4924$))","expression":"((⪩⨒∯1002122∠⫱⪩⨒∯120001)⋾⨃∁(⇙⪊⪩⨒∯233231))≄⊠(⫓⪴⪩⨒∯330133)⊋(⪩⨒∯103113⇟⨁⪰)⪭≯(⪩⨒∯1031030⩍⋽⫝̸⪩⨒∯1101231⫔⩽⩺⪩⨒∯131030≨⪩⨒∯1231312)⇻⋧≁(⪩⨒∯1233133⇤⪩⨒∯1202021∼(⪩⨒∯212101∝⪩⨒∯1030330))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5680,"operation_count":15,"complexity_ratio":378.6666666666667,"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":4250,"base":4},"right_expr":{"type":"numeric_atoms","value":1537,"base":4}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":3053,"base":4}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3871,"base":4}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":1239,"base":4}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4940,"base":4},"right_expr":{"type":"numeric_atoms","value":5229,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1868,"base":4},"right_expr":{"type":"numeric_atoms","value":7030,"base":4}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":7135,"base":4},"right_expr":{"type":"numeric_atoms","value":6281,"base":4}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2449,"base":4},"right_expr":{"type":"numeric_atoms","value":4924,"base":4}}}}},"used_operators":["XAx5wpdLa6","vXNesLlMH1","212REbPD9h","QvoQhV0rrE","pB6Fcnrjim","W4tP9CfskL","eLxqMNBOBk","BX1lVwlMe0","jCPkEVoL5K","i9eR4S00cU","BiWNJpBvwn","0KMCeP1Jsh","DyGG3AbaNP","YSKBFp38Pu","cTDWOvIxvz"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9HNa5Wba9A","2DDjHMKMc0","xUOZtlo3hN","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Tw270M8GLb","fu6greOZ01","Ph9nP6C5qx","xUOZtlo3hN","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4250","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=4250, right_input=1537, 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=3053","layer":4},{"info":"compute unary expreesion, input=3053, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"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":2},{"info":"number node, value=3871","layer":4},{"info":"compute unary expreesion, input=3871, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=14984641","layer":3},{"info":"number node, value=1239","layer":4},{"info":"compute unary expreesion, input=1239, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-1413","layer":3},{"info":"compute binary expreesion, left_input=14984641, right_input=-1413, 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=-33714","layer":2},{"info":"compute binary expreesion, left_input=-94, right_input=-33714, 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=4940","layer":4},{"info":"number node, value=5229","layer":4},{"info":"compute binary expreesion, left_input=4940, right_input=5229, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4283","layer":3},{"info":"number node, value=1868","layer":4},{"info":"number node, value=7030","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=7030, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-16204","layer":3},{"info":"compute binary expreesion, left_input=4283, right_input=-16204, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=7135","layer":4},{"info":"number node, value=6281","layer":4},{"info":"compute binary expreesion, left_input=7135, right_input=6281, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-64232","layer":3},{"info":"number node, value=2449","layer":4},{"info":"number node, value=4924","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=4924, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2454","layer":3},{"info":"compute binary expreesion, left_input=-64232, right_input=2454, 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 = 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=1500, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1002122∠⫱⪩⨒∯120001)⋾⨃∁(⇙⪊⪩⨒∯233231))≄⊠(⫓⪴⪩⨒∯330133)⊋(⪩⨒∯103113⇟⨁⪰)⪭≯(⪩⨒∯1031030⩍⋽⫝̸⪩⨒∯1101231⫔⩽⩺⪩⨒∯131030≨⪩⨒∯1231312)⇻⋧≁(⪩⨒∯1233133⇤⪩⨒∯1202021∼(⪩⨒∯212101∝⪩⨒∯1030330))=NaN","reverse_text":"NaN=((⪩⨒∯1002122∠⫱⪩⨒∯120001)⋾⨃∁(⇙⪊⪩⨒∯233231))≄⊠(⫓⪴⪩⨒∯330133)⊋(⪩⨒∯103113⇟⨁⪰)⪭≯(⪩⨒∯1031030⩍⋽⫝̸⪩⨒∯1101231⫔⩽⩺⪩⨒∯131030≨⪩⨒∯1231312)⇻⋧≁(⪩⨒∯1233133⇤⪩⨒∯1202021∼(⪩⨒∯212101∝⪩⨒∯1030330))","cot":[{"info":"⪩⨒∯1002122∠⫱⪩⨒∯120001=⪩⨒∯103102","layer":3},{"info":"⇙⪊⪩⨒∯233231=⪩⨒∯0","layer":3},{"info":"⪩⨒∯103102⋾⨃∁⪩⨒∯0=⪩⨒∯-1132","layer":2},{"info":"⫓⪴⪩⨒∯330133=⪩⨒∯321022113001","layer":3},{"info":"⪩⨒∯103113⇟⨁⪰=⪩⨒∯-112011","layer":3},{"info":"⪩⨒∯321022113001⊋⪩⨒∯-112011=⪩⨒∯-20032302","layer":2},{"info":"⪩⨒∯-1132≄⊠⪩⨒∯-20032302=⪩⨒∯113130","layer":1},{"info":"⪩⨒∯1031030⩍⋽⫝̸⪩⨒∯1101231=⪩⨒∯1002323","layer":3},{"info":"⪩⨒∯131030≨⪩⨒∯1231312=⪩⨒∯-3331030","layer":3},{"info":"⪩⨒∯1002323⫔⩽⩺⪩⨒∯-3331030=NaN","layer":2},{"info":"⪩⨒∯1233133⇤⪩⨒∯1202021=⪩⨒∯-33223220","layer":3},{"info":"⪩⨒∯212101∝⪩⨒∯1030330=⪩⨒∯212112","layer":3},{"info":"⪩⨒∯-33223220∼⪩⨒∯212112=NaN","layer":2},{"info":"NaN⇻⋧≁NaN=NaN","layer":1},{"info":"⪩⨒∯113130⪭≯NaN=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"(($5078$⨔⇊$4876$⋣⋖(≱⇩⩕$1144$))⊚⫡⫭)⩹(⊖∈(≻⋜($1446$→⨶⪴$4530$)))","expression":"((⪩⨒∯1033112⨔⇊⪩⨒∯1030030⋣⋖(≱⇩⩕⪩⨒∯101320))⊚⫡⫭)⩹(⊖∈(≻⋜(⪩⨒∯112212→⨶⪴⪩⨒∯1012302)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":107231,"operation_count":8,"complexity_ratio":13403.875,"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":5078,"base":4},"right_expr":{"type":"numeric_atoms","value":4876,"base":4}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1144,"base":4}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1446,"base":4},"right_expr":{"type":"numeric_atoms","value":4530,"base":4}}}}},"used_operators":["2Wsdkap16l","SpZWOsLKZJ","J0M6qkBnIM","JclMnS0uGI","3DZMoQKiUl","YFxL8Sc2Zy","3tj9sqzovi","bF6eod5Gvf"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","8w2t5hMYqp","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5078","layer":4},{"info":"number node, value=4876","layer":4},{"info":"compute binary expreesion, left_input=5078, right_input=4876, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=4876","layer":3},{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=4876, right_input=113, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4876","layer":2},{"info":"compute unary expreesion, input=4876, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-8826","layer":1},{"info":"number node, value=1446","layer":4},{"info":"number node, value=4530","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=4530, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-13590","layer":3},{"info":"compute unary expreesion, input=-13590, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜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 binary expreesion, left_input=-8826, 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":4,"result_base":4,"text":"((⪩⨒∯1033112⨔⇊⪩⨒∯1030030⋣⋖(≱⇩⩕⪩⨒∯101320))⊚⫡⫭)⩹(⊖∈(≻⋜(⪩⨒∯112212→⨶⪴⪩⨒∯1012302)))=NaN","reverse_text":"NaN=((⪩⨒∯1033112⨔⇊⪩⨒∯1030030⋣⋖(≱⇩⩕⪩⨒∯101320))⊚⫡⫭)⩹(⊖∈(≻⋜(⪩⨒∯112212→⨶⪴⪩⨒∯1012302)))","cot":[{"info":"⪩⨒∯1033112⨔⇊⪩⨒∯1030030=⪩⨒∯1030030","layer":3},{"info":"≱⇩⩕⪩⨒∯101320=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯1030030⋣⋖⪩⨒∯1301=⪩⨒∯1030030","layer":2},{"info":"⪩⨒∯1030030⊚⫡⫭=⪩⨒∯-2021322","layer":1},{"info":"⪩⨒∯112212→⨶⪴⪩⨒∯1012302=⪩⨒∯-3110112","layer":3},{"info":"≻⋜⪩⨒∯-3110112=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"⪩⨒∯-2021322⩹NaN=NaN","layer":0}]}
{"id":282,"expression_no_base_symbol":"∂⩏⊆(($2340$⊾⪯⋞$2516$)≭($1851$⫏⊷))⫁⪎$1067$∓⋝$1097$⊱⇼⊻($5263$⊔$1127$)","expression":"∂⩏⊆((⪩⨒∯210210⊾⪯⋞⪩⨒∯213110)≭(⪩⨒∯130323⫏⊷))⫁⪎⪩⨒∯100223∓⋝⪩⨒∯101021⊱⇼⊻(⪩⨒∯1102033⊔⪩⨒∯101213)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5879,"operation_count":8,"complexity_ratio":734.875,"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":2340,"base":4},"right_expr":{"type":"numeric_atoms","value":2516,"base":4}},"right_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"numeric_atoms","value":1851,"base":4}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1067,"base":4},"right_expr":{"type":"numeric_atoms","value":1097,"base":4}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":5263,"base":4},"right_expr":{"type":"numeric_atoms","value":1127,"base":4}}}}},"used_operators":["8WDwsbhb0R","xRrnTEsQ6j","rxpJgHHUmx","HK0tfVPux8","dcShxvzhyw","FyVja0WsTP","PoHhknlbAi","E4l6HwMY31"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","AHs5Up7iyr","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2340","layer":4},{"info":"number node, value=2516","layer":4},{"info":"compute binary expreesion, left_input=2340, right_input=2516, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=4606","layer":3},{"info":"number node, value=1851","layer":4},{"info":"compute unary expreesion, input=1851, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute binary expreesion, left_input=4606, right_input=-820, 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=1067","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=1097, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=5263","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=5263, right_input=1127, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=13761","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=13761, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-64","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-64, 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 unary expreesion, input=nan, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"∂⩏⊆((⪩⨒∯210210⊾⪯⋞⪩⨒∯213110)≭(⪩⨒∯130323⫏⊷))⫁⪎⪩⨒∯100223∓⋝⪩⨒∯101021⊱⇼⊻(⪩⨒∯1102033⊔⪩⨒∯101213)=NaN","reverse_text":"NaN=∂⩏⊆((⪩⨒∯210210⊾⪯⋞⪩⨒∯213110)≭(⪩⨒∯130323⫏⊷))⫁⪎⪩⨒∯100223∓⋝⪩⨒∯101021⊱⇼⊻(⪩⨒∯1102033⊔⪩⨒∯101213)","cot":[{"info":"⪩⨒∯210210⊾⪯⋞⪩⨒∯213110=⪩⨒∯1013332","layer":3},{"info":"⪩⨒∯130323⫏⊷=⪩⨒∯-30310","layer":3},{"info":"⪩⨒∯1013332≭⪩⨒∯-30310=NaN","layer":2},{"info":"⪩⨒∯100223∓⋝⪩⨒∯101021=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1102033⊔⪩⨒∯101213=⪩⨒∯3113001","layer":3},{"info":"⪩⨒∯1003⊱⇼⊻⪩⨒∯3113001=⪩⨒∯-1000","layer":2},{"info":"NaN⫁⪎⪩⨒∯-1000=NaN","layer":1},{"info":"∂⩏⊆NaN=NaN","layer":0}]}
{"id":283,"expression_no_base_symbol":"(∮(($3324$⇚⪠)∖(⨴⫝$2484$)))∊∟⩊(($4994$≨$2739$)∊∟⩊($2518$⊘)⪛⫼($5819$≀⩗∶$4183$)⨎($4205$∠⫱$1020$))","expression":"(∮((⪩⨒∯303330⇚⪠)∖(⨴⫝⪩⨒∯212310)))∊∟⩊((⪩⨒∯1032002≨⪩⨒∯222303)∊∟⩊(⪩⨒∯213112⊘)⪛⫼(⪩⨒∯1122323≀⩗∶⪩⨒∯1001113)⨎(⪩⨒∯1001231∠⫱⪩⨒∯33330))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":233467,"operation_count":12,"complexity_ratio":19455.583333333332,"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":3324,"base":4}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":2484,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4994,"base":4},"right_expr":{"type":"numeric_atoms","value":2739,"base":4}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2518,"base":4}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":5819,"base":4},"right_expr":{"type":"numeric_atoms","value":4183,"base":4}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4205,"base":4},"right_expr":{"type":"numeric_atoms","value":1020,"base":4}}}}},"used_operators":["ddLRYrp01A","CqXKPLVYql","tXD093vOjl","Loh9y4A90B","SVb2v531z1","hyuBjUqXlG","0KMCeP1Jsh","gu96TGCTMs","rJVOvQCfKK","8INZBEW696","QvoQhV0rrE"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⪩⨒∯202","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3324","layer":4},{"info":"compute unary expreesion, input=3324, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=22097952","layer":3},{"info":"number node, value=2484","layer":4},{"info":"compute unary expreesion, input=2484, 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 binary expreesion, left_input=22097952, right_input=2828198, 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 = 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=4994","layer":4},{"info":"number node, value=2739","layer":4},{"info":"compute binary expreesion, left_input=4994, right_input=2739, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-47464","layer":3},{"info":"number node, value=2518","layer":4},{"info":"compute unary expreesion, input=2518, 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=-47464, right_input=0, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=17","layer":2},{"info":"number node, value=5819","layer":4},{"info":"number node, value=4183","layer":4},{"info":"compute binary expreesion, left_input=5819, right_input=4183, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=4205","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=4205, right_input=1020, 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=0, right_input=1234, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=17, right_input=1234, 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=-238136, right_input=968, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=34","layer":0}],"base":4,"result_base":4,"text":"(∮((⪩⨒∯303330⇚⪠)∖(⨴⫝⪩⨒∯212310)))∊∟⩊((⪩⨒∯1032002≨⪩⨒∯222303)∊∟⩊(⪩⨒∯213112⊘)⪛⫼(⪩⨒∯1122323≀⩗∶⪩⨒∯1001113)⨎(⪩⨒∯1001231∠⫱⪩⨒∯33330))=⪩⨒∯202","reverse_text":"⪩⨒∯202=(∮((⪩⨒∯303330⇚⪠)∖(⨴⫝⪩⨒∯212310)))∊∟⩊((⪩⨒∯1032002≨⪩⨒∯222303)∊∟⩊(⪩⨒∯213112⊘)⪛⫼(⪩⨒∯1122323≀⩗∶⪩⨒∯1001113)⨎(⪩⨒∯1001231∠⫱⪩⨒∯33330))","cot":[{"info":"⪩⨒∯303330⇚⪠=⪩⨒∯1110103000200","layer":3},{"info":"⨴⫝⪩⨒∯212310=⪩⨒∯22302132212","layer":3},{"info":"⪩⨒∯1110103000200∖⪩⨒∯22302132212=⪩⨒∯0","layer":2},{"info":"∮⪩⨒∯0=⪩⨒∯-322020320","layer":1},{"info":"⪩⨒∯1032002≨⪩⨒∯222303=⪩⨒∯-23211220","layer":3},{"info":"⪩⨒∯213112⊘=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-23211220∊∟⩊⪩⨒∯0=⪩⨒∯101","layer":2},{"info":"⪩⨒∯1122323≀⩗∶⪩⨒∯1001113=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1001231∠⫱⪩⨒∯33330=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯0⨎⪩⨒∯103102=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯101⪛⫼⪩⨒∯103102=⪩⨒∯33020","layer":1},{"info":"⪩⨒∯-322020320∊∟⩊⪩⨒∯33020=⪩⨒∯202","layer":0}]}
{"id":284,"expression_no_base_symbol":"↣≠⋷($1358$⨐$1890$-$5819$⩌⋺$3806$)∥⊢⊲(($1491$∙∹∝$1748$)⪢(⇺⋃$1494$))","expression":"↣≠⋷(⪩⨒∯111032⨐⪩⨒∯131202-⪩⨒∯1122323⩌⋺⪩⨒∯323132)∥⊢⊲((⪩⨒∯113103∙∹∝⪩⨒∯123110)⪢(⇺⋃⪩⨒∯113112))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":86,"operation_count":8,"complexity_ratio":10.75,"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":1358,"base":4},"right_expr":{"type":"numeric_atoms","value":1890,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5819,"base":4},"right_expr":{"type":"numeric_atoms","value":3806,"base":4}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1491,"base":4},"right_expr":{"type":"numeric_atoms","value":1748,"base":4}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1494,"base":4}}}}},"used_operators":["Asc51vEJeQ","v1UQAVDJRr","rysDP5nf3Z","Noe24qw2ks","g7Hmc5v1ko","dWAJyo7jo9","HmxsFra2vL","E5v5B3UAjG"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","EBcxylXtPf","rGHVDoGpnC","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","k8jYdgA6NY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=1890, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2716","layer":3},{"info":"number node, value=5819","layer":4},{"info":"number node, value=3806","layer":4},{"info":"compute binary expreesion, left_input=5819, right_input=3806, 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=-9746","layer":3},{"info":"compute binary expreesion, left_input=-2716, right_input=-9746, op_id = rysDP5nf3Z binary_op_definition= 'None', output=7030","layer":2},{"info":"number node, value=1491","layer":4},{"info":"number node, value=1748","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=1748, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1494","layer":4},{"info":"compute unary expreesion, input=1494, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=7030, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"↣≠⋷(⪩⨒∯111032⨐⪩⨒∯131202-⪩⨒∯1122323⩌⋺⪩⨒∯323132)∥⊢⊲((⪩⨒∯113103∙∹∝⪩⨒∯123110)⪢(⇺⋃⪩⨒∯113112))=NaN","reverse_text":"NaN=↣≠⋷(⪩⨒∯111032⨐⪩⨒∯131202-⪩⨒∯1122323⩌⋺⪩⨒∯323132)∥⊢⊲((⪩⨒∯113103∙∹∝⪩⨒∯123110)⪢(⇺⋃⪩⨒∯113112))","cot":[{"info":"⪩⨒∯111032⨐⪩⨒∯131202=⪩⨒∯-222130","layer":3},{"info":"⪩⨒∯1122323⩌⋺⪩⨒∯323132=⪩⨒∯-2120102","layer":3},{"info":"⪩⨒∯-222130-⪩⨒∯-2120102=⪩⨒∯1231312","layer":2},{"info":"⪩⨒∯113103∙∹∝⪩⨒∯123110=⪩⨒∯0","layer":3},{"info":"⇺⋃⪩⨒∯113112=NaN","layer":3},{"info":"⪩⨒∯0⪢NaN=NaN","layer":2},{"info":"⪩⨒∯1231312∥⊢⊲NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":285,"expression_no_base_symbol":"(⋠∜($8347$≎⪠$1117$⋾⨃∁$2389$⩣⫁∢$4460$))≎⊠⪸(($2549$∋$3396$⫉⨲⊜(↴⪽⋼$2736$))⋐⇩⊬)","expression":"(⋠∜(⪩⨒∯2002123≎⪠⪩⨒∯101131⋾⨃∁⪩⨒∯211111⩣⫁∢⪩⨒∯1011230))≎⊠⪸((⪩⨒∯213311∋⪩⨒∯311010⫉⨲⊜(↴⪽⋼⪩⨒∯222300))⋐⇩⊬)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24206,"operation_count":9,"complexity_ratio":2689.5555555555557,"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":8347,"base":4},"right_expr":{"type":"numeric_atoms","value":1117,"base":4}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":2389,"base":4},"right_expr":{"type":"numeric_atoms","value":4460,"base":4}}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2549,"base":4},"right_expr":{"type":"numeric_atoms","value":3396,"base":4}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":2736,"base":4}}}}},"used_operators":["bJkvcejdHO","ZJpFhNJr3x","212REbPD9h","aNhz54LH3e","JDUIKTTSIa","JuuLT1NoCs","WhqkvtTD3t","ukq6epAj5P","5TUYCnJO6w"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","eewbuw0ToL","zVYPLywUTj","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8347","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=8347, right_input=1117, 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=2389","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=2389, right_input=4460, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-4617","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-4617, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=213222200","layer":2},{"info":"compute unary expreesion, input=213222200, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=852891084","layer":1},{"info":"number node, value=2549","layer":4},{"info":"number node, value=3396","layer":4},{"info":"compute binary expreesion, left_input=2549, right_input=3396, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=7115388","layer":3},{"info":"number node, value=2736","layer":4},{"info":"compute unary expreesion, input=2736, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=2736","layer":3},{"info":"compute binary expreesion, left_input=7115388, right_input=2736, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=852891084, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=inf","layer":0}],"base":4,"result_base":4,"text":"(⋠∜(⪩⨒∯2002123≎⪠⪩⨒∯101131⋾⨃∁⪩⨒∯211111⩣⫁∢⪩⨒∯1011230))≎⊠⪸((⪩⨒∯213311∋⪩⨒∯311010⫉⨲⊜(↴⪽⋼⪩⨒∯222300))⋐⇩⊬)=Inf","reverse_text":"Inf=(⋠∜(⪩⨒∯2002123≎⪠⪩⨒∯101131⋾⨃∁⪩⨒∯211111⩣⫁∢⪩⨒∯1011230))≎⊠⪸((⪩⨒∯213311∋⪩⨒∯311010⫉⨲⊜(↴⪽⋼⪩⨒∯222300))⋐⇩⊬)","cot":[{"info":"⪩⨒∯2002123≎⪠⪩⨒∯101131=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯211111⩣⫁∢⪩⨒∯1011230=⪩⨒∯-1020021","layer":3},{"info":"⪩⨒∯10301212⋾⨃∁⪩⨒∯-1020021=⪩⨒∯30231120030320","layer":2},{"info":"⋠∜⪩⨒∯30231120030320=⪩⨒∯302311201113030","layer":1},{"info":"⪩⨒∯213311∋⪩⨒∯311010=⪩⨒∯123021021330","layer":3},{"info":"↴⪽⋼⪩⨒∯222300=⪩⨒∯222300","layer":3},{"info":"⪩⨒∯123021021330⫉⨲⊜⪩⨒∯222300=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⋐⇩⊬=⪩⨒∯0","layer":1},{"info":"⪩⨒∯302311201113030≎⊠⪸⪩⨒∯0=Inf","layer":0}]}
{"id":286,"expression_no_base_symbol":"⇵⪽(⇁⨣⪵($5793$≳⇉$5025$)⊮⊟↴($1585$⋫))","expression":"⇵⪽(⇁⨣⪵(⪩⨒∯1122201≳⇉⪩⨒∯1032201)⊮⊟↴(⪩⨒∯120301⋫))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":377040243,"operation_count":5,"complexity_ratio":75408048.6,"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":5793,"base":4},"right_expr":{"type":"numeric_atoms","value":5025,"base":4}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1585,"base":4}}}}},"used_operators":["ZGCBLdVRRX","inkyxCbjAn","QDVgd2eftb","V0kx6qeWkN","JL8yIekQnl"],"dependent_operators":["U7g4x0WXJJ","B5M0gjZbta","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","tmPS8pqC7x"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=5793","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=5793, right_input=5025, 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=1585","layer":4},{"info":"compute unary expreesion, input=1585, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1585","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1585, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', 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 unary expreesion, input=0, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=0","layer":0}],"base":4,"result_base":4,"text":"⇵⪽(⇁⨣⪵(⪩⨒∯1122201≳⇉⪩⨒∯1032201)⊮⊟↴(⪩⨒∯120301⋫))=⪩⨒∯0","reverse_text":"⪩⨒∯0=⇵⪽(⇁⨣⪵(⪩⨒∯1122201≳⇉⪩⨒∯1032201)⊮⊟↴(⪩⨒∯120301⋫))","cot":[{"info":"⪩⨒∯1122201≳⇉⪩⨒∯1032201=NaN","layer":3},{"info":"⪩⨒∯120301⋫=⪩⨒∯120301","layer":3},{"info":"NaN⊮⊟↴⪩⨒∯120301=⪩⨒∯0","layer":2},{"info":"⇁⨣⪵⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⇵⪽⪩⨒∯0=⪩⨒∯0","layer":0}]}
{"id":287,"expression_no_base_symbol":"((($1539$∌↝$4554$)∴($3852$≚⊃≕$1038$))⨽∌(($7501$⫢⨠$2378$)⨥⫆($2728$⨵⪆$1712$)))⫿","expression":"(((⪩⨒∯120003∌↝⪩⨒∯1013022)∴(⪩⨒∯330030≚⊃≕⪩⨒∯100032))⨽∌((⪩⨒∯1311031⫢⨠⪩⨒∯211022)⨥⫆(⪩⨒∯222220⨵⪆⪩⨒∯122300)))⫿","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":178,"operation_count":8,"complexity_ratio":22.25,"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":1539,"base":4},"right_expr":{"type":"numeric_atoms","value":4554,"base":4}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3852,"base":4},"right_expr":{"type":"numeric_atoms","value":1038,"base":4}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":7501,"base":4},"right_expr":{"type":"numeric_atoms","value":2378,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2728,"base":4},"right_expr":{"type":"numeric_atoms","value":1712,"base":4}}}}},"used_operators":["9tKT6PmtkH","9samAPKr6k","hrf7POJlIJ","9Isq31Ruls","Bmrmz2XGnR","yXekIHxTD4","xlXykHWxX1","2DQ55sFlQl"],"dependent_operators":["DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1539","layer":4},{"info":"number node, value=4554","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=4554, 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=3852","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=3852, right_input=1038, 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=0, right_input=67, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":2},{"info":"number node, value=7501","layer":4},{"info":"number node, value=2378","layer":4},{"info":"compute binary expreesion, left_input=7501, right_input=2378, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2728","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=1712, 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=160, right_input=160, 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=1648, right_input=0, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', 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":4,"result_base":4,"text":"(((⪩⨒∯120003∌↝⪩⨒∯1013022)∴(⪩⨒∯330030≚⊃≕⪩⨒∯100032))⨽∌((⪩⨒∯1311031⫢⨠⪩⨒∯211022)⨥⫆(⪩⨒∯222220⨵⪆⪩⨒∯122300)))⫿=NaN","reverse_text":"NaN=(((⪩⨒∯120003∌↝⪩⨒∯1013022)∴(⪩⨒∯330030≚⊃≕⪩⨒∯100032))⨽∌((⪩⨒∯1311031⫢⨠⪩⨒∯211022)⨥⫆(⪩⨒∯222220⨵⪆⪩⨒∯122300)))⫿","cot":[{"info":"⪩⨒∯120003∌↝⪩⨒∯1013022=⪩⨒∯0","layer":3},{"info":"⪩⨒∯330030≚⊃≕⪩⨒∯100032=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯0∴⪩⨒∯1003=⪩⨒∯121300","layer":2},{"info":"⪩⨒∯1311031⫢⨠⪩⨒∯211022=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯222220⨵⪆⪩⨒∯122300=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2200⨥⫆⪩⨒∯2200=⪩⨒∯0","layer":2},{"info":"⪩⨒∯121300⨽∌⪩⨒∯0=NaN","layer":1},{"info":"NaN⫿=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"($5530$∥⊢⊲$7956$⪢$1015$≨$4350$⩒⫫(⇖⫷⫕$2126$)⪒⊣⊆($2282$≎⊠⪸$4218$))⫁⪎(⋗⩴⪓(($5655$∝$1634$)∛≔))","expression":"(⪩⨒∯1112122∥⊢⊲⪩⨒∯1330110⪢⪩⨒∯33313≨⪩⨒∯1003332⩒⫫(⇖⫷⫕⪩⨒∯201032)⪒⊣⊆(⪩⨒∯203222≎⊠⪸⪩⨒∯1001322))⫁⪎(⋗⩴⪓((⪩⨒∯1120113∝⪩⨒∯121202)∛≔))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":51605,"operation_count":11,"complexity_ratio":4691.363636363636,"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":4},"right_expr":{"type":"numeric_atoms","value":7956,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1015,"base":4},"right_expr":{"type":"numeric_atoms","value":4350,"base":4}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2126,"base":4}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2282,"base":4},"right_expr":{"type":"numeric_atoms","value":4218,"base":4}}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5655,"base":4},"right_expr":{"type":"numeric_atoms","value":1634,"base":4}}}}},"used_operators":["xRrnTEsQ6j","KFSx94NKJn","dWAJyo7jo9","v1UQAVDJRr","0KMCeP1Jsh","eRqsBgTDFp","UHmRx3INFg","bJkvcejdHO","nOKPl9n5zu","mGnSCrte3L","cTDWOvIxvz"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","k8jYdgA6NY","EBcxylXtPf","rGHVDoGpnC","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","W4YGzv6Whe","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5530","layer":4},{"info":"number node, value=7956","layer":4},{"info":"compute binary expreesion, left_input=5530, right_input=7956, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=4350","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=4350, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-7674","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7674, 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=2126","layer":4},{"info":"compute unary expreesion, input=2126, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=2282","layer":4},{"info":"number node, value=4218","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=4218, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=590565","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=590565, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=5644","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5644, 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=5655","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=5655, right_input=1634, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5660","layer":3},{"info":"compute unary expreesion, input=5660, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":4,"result_base":4,"text":"(⪩⨒∯1112122∥⊢⊲⪩⨒∯1330110⪢⪩⨒∯33313≨⪩⨒∯1003332⩒⫫(⇖⫷⫕⪩⨒∯201032)⪒⊣⊆(⪩⨒∯203222≎⊠⪸⪩⨒∯1001322))⫁⪎(⋗⩴⪓((⪩⨒∯1120113∝⪩⨒∯121202)∛≔))=NaN","reverse_text":"NaN=(⪩⨒∯1112122∥⊢⊲⪩⨒∯1330110⪢⪩⨒∯33313≨⪩⨒∯1003332⩒⫫(⇖⫷⫕⪩⨒∯201032)⪒⊣⊆(⪩⨒∯203222≎⊠⪸⪩⨒∯1001322))⫁⪎(⋗⩴⪓((⪩⨒∯1120113∝⪩⨒∯121202)∛≔))","cot":[{"info":"⪩⨒∯1112122∥⊢⊲⪩⨒∯1330110=NaN","layer":3},{"info":"⪩⨒∯33313≨⪩⨒∯1003332=⪩⨒∯-1313322","layer":3},{"info":"NaN⪢⪩⨒∯-1313322=NaN","layer":2},{"info":"⇖⫷⫕⪩⨒∯201032=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯203222≎⊠⪸⪩⨒∯1001322=⪩⨒∯2100023211","layer":3},{"info":"⪩⨒∯230012⪒⊣⊆⪩⨒∯2100023211=⪩⨒∯1120030","layer":2},{"info":"NaN⩒⫫⪩⨒∯1120030=NaN","layer":1},{"info":"⪩⨒∯1120113∝⪩⨒∯121202=⪩⨒∯1120130","layer":3},{"info":"⪩⨒∯1120130∛≔=-Inf","layer":2},{"info":"⋗⩴⪓-Inf=NaN","layer":1},{"info":"NaN⫁⪎NaN=NaN","layer":0}]}
{"id":289,"expression_no_base_symbol":"⫟(($3084$≑≱⪘)⨑≵⋬$4346$≚⊃≕$2292$)≃($5088$↯⫤)⇴∐$1458$⊋$1026$","expression":"⫟((⪩⨒∯300030≑≱⪘)⨑≵⋬⪩⨒∯1003322≚⊃≕⪩⨒∯203310)≃(⪩⨒∯1033200↯⫤)⇴∐⪩⨒∯112302⊋⪩⨒∯100002","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1204,"operation_count":8,"complexity_ratio":150.5,"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":3084,"base":4}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4346,"base":4},"right_expr":{"type":"numeric_atoms","value":2292,"base":4}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"numeric_atoms","value":5088,"base":4}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1458,"base":4},"right_expr":{"type":"numeric_atoms","value":1026,"base":4}}}}},"used_operators":["z4E1FaHLuy","YbVcJGFEVW","XnXgA4xnOs","tGSeddj7UK","Bmrmz2XGnR","HnzytWxmAO","VwlE7vj6HS","W4tP9CfskL"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"⪩⨒∯-11231","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3084","layer":4},{"info":"compute unary expreesion, input=3084, 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=76549","layer":3},{"info":"number node, value=4346","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=4346, right_input=2292, 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=76549, right_input=67, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=383655","layer":2},{"info":"number node, value=5088","layer":4},{"info":"compute unary expreesion, input=5088, 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=1458","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=1026, 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=3562644","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3562644, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=383655, right_input=-116, 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=424","layer":1},{"info":"compute unary expreesion, input=424, 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=-365","layer":0}],"base":4,"result_base":4,"text":"⫟((⪩⨒∯300030≑≱⪘)⨑≵⋬⪩⨒∯1003322≚⊃≕⪩⨒∯203310)≃(⪩⨒∯1033200↯⫤)⇴∐⪩⨒∯112302⊋⪩⨒∯100002=⪩⨒∯-11231","reverse_text":"⪩⨒∯-11231=⫟((⪩⨒∯300030≑≱⪘)⨑≵⋬⪩⨒∯1003322≚⊃≕⪩⨒∯203310)≃(⪩⨒∯1033200↯⫤)⇴∐⪩⨒∯112302⊋⪩⨒∯100002","cot":[{"info":"⪩⨒∯300030≑≱⪘=⪩⨒∯102230011","layer":3},{"info":"⪩⨒∯1003322≚⊃≕⪩⨒∯203310=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯102230011⨑≵⋬⪩⨒∯1003=⪩⨒∯1131222213","layer":2},{"info":"⪩⨒∯1033200↯⫤=⪩⨒∯0","layer":3},{"info":"⪩⨒∯112302⊋⪩⨒∯100002=⪩⨒∯31211302110","layer":3},{"info":"⪩⨒∯0⇴∐⪩⨒∯31211302110=⪩⨒∯-1310","layer":2},{"info":"⪩⨒∯1131222213≃⪩⨒∯-1310=⪩⨒∯12220","layer":1},{"info":"⫟⪩⨒∯12220=⪩⨒∯-11231","layer":0}]}
{"id":290,"expression_no_base_symbol":"(($3504$∖$3347$)⋥⋵⩄(≸≮$2369$))≴⪞⇿(($1526$⪪$4671$)≁($4907$⫸⇳$3739$))⪥($1579$⊱⇼⊻$4697$)⊕∕($1076$+$2671$)↹⊜(($8612$≀⫉$4677$)∛(∐⩳⋚$7944$))","expression":"((⪩⨒∯312300∖⪩⨒∯310103)⋥⋵⩄(≸≮⪩⨒∯211001))≴⪞⇿((⪩⨒∯113312⪪⪩⨒∯1020333)≁(⪩⨒∯1030223⫸⇳⪩⨒∯322123))⪥(⪩⨒∯120223⊱⇼⊻⪩⨒∯1021121)⊕∕(⪩⨒∯100310+⪩⨒∯221233)↹⊜((⪩⨒∯2012210≀⫉⪩⨒∯1021011)∛(∐⩳⋚⪩⨒∯1330020))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":15729,"operation_count":15,"complexity_ratio":1048.6,"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":3504,"base":4},"right_expr":{"type":"numeric_atoms","value":3347,"base":4}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":2369,"base":4}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1526,"base":4},"right_expr":{"type":"numeric_atoms","value":4671,"base":4}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":4907,"base":4},"right_expr":{"type":"numeric_atoms","value":3739,"base":4}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1579,"base":4},"right_expr":{"type":"numeric_atoms","value":4697,"base":4}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1076,"base":4},"right_expr":{"type":"numeric_atoms","value":2671,"base":4}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":8612,"base":4},"right_expr":{"type":"numeric_atoms","value":4677,"base":4}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":7944,"base":4}}}}},"used_operators":["QbnwKVWMIQ","lvlrscuwVU","7t3wd0Fuz7","tXD093vOjl","AljMvE3RRm","8N2wDY1A35","xD69zh8xqp","gx7XJ7hdpj","9bazX3JMtO","9cloC0Ngie","FyVja0WsTP","W4YGzv6Whe","w2537kitQq","oZj3VtZNQx","SL6IHkK8vl"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","FU0Cs4j7VP","JclMnS0uGI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3504","layer":4},{"info":"number node, value=3347","layer":4},{"info":"compute binary expreesion, left_input=3504, right_input=3347, 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=2369","layer":4},{"info":"compute unary expreesion, input=2369, 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=0, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=1526","layer":4},{"info":"number node, value=4671","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=4671, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-226515","layer":3},{"info":"number node, value=4907","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=4907, right_input=3739, 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=-226515, 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=nan, right_input=-8941, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"number node, value=1579","layer":4},{"info":"number node, value=4697","layer":4},{"info":"compute binary expreesion, left_input=1579, right_input=4697, 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=1076","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2671, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3747","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=3747, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=434","layer":2},{"info":"number node, value=8612","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=8612, right_input=4677, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=7944","layer":4},{"info":"compute unary expreesion, input=7944, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=1181161","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=1181161, 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 binary expreesion, left_input=434, right_input=-670, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=5264","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5264, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯312300∖⪩⨒∯310103)⋥⋵⩄(≸≮⪩⨒∯211001))≴⪞⇿((⪩⨒∯113312⪪⪩⨒∯1020333)≁(⪩⨒∯1030223⫸⇳⪩⨒∯322123))⪥(⪩⨒∯120223⊱⇼⊻⪩⨒∯1021121)⊕∕(⪩⨒∯100310+⪩⨒∯221233)↹⊜((⪩⨒∯2012210≀⫉⪩⨒∯1021011)∛(∐⩳⋚⪩⨒∯1330020))=NaN","reverse_text":"NaN=((⪩⨒∯312300∖⪩⨒∯310103)⋥⋵⩄(≸≮⪩⨒∯211001))≴⪞⇿((⪩⨒∯113312⪪⪩⨒∯1020333)≁(⪩⨒∯1030223⫸⇳⪩⨒∯322123))⪥(⪩⨒∯120223⊱⇼⊻⪩⨒∯1021121)⊕∕(⪩⨒∯100310+⪩⨒∯221233)↹⊜((⪩⨒∯2012210≀⫉⪩⨒∯1021011)∛(∐⩳⋚⪩⨒∯1330020))","cot":[{"info":"⪩⨒∯312300∖⪩⨒∯310103=⪩⨒∯0","layer":3},{"info":"≸≮⪩⨒∯211001=NaN","layer":3},{"info":"⪩⨒∯0⋥⋵⩄NaN=NaN","layer":2},{"info":"⪩⨒∯113312⪪⪩⨒∯1020333=⪩⨒∯-313103103","layer":3},{"info":"⪩⨒∯1030223⫸⇳⪩⨒∯322123=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-313103103≁⪩⨒∯0=⪩⨒∯-2023231","layer":2},{"info":"NaN≴⪞⇿⪩⨒∯-2023231=NaN","layer":1},{"info":"⪩⨒∯120223⊱⇼⊻⪩⨒∯1021121=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯100310+⪩⨒∯221233=⪩⨒∯322203","layer":3},{"info":"⪩⨒∯12302⊕∕⪩⨒∯322203=⪩⨒∯12302","layer":2},{"info":"⪩⨒∯2012210≀⫉⪩⨒∯1021011=⪩⨒∯230012","layer":3},{"info":"∐⩳⋚⪩⨒∯1330020=⪩⨒∯10200113221","layer":3},{"info":"⪩⨒∯230012∛⪩⨒∯10200113221=⪩⨒∯-22132","layer":2},{"info":"⪩⨒∯12302↹⊜⪩⨒∯-22132=⪩⨒∯1102100","layer":1},{"info":"NaN⪥⪩⨒∯1102100=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"($3023$+$2762$)⪥($3465$⊢)⨓($8150$⨱∎)∳⫺($5323$⊋$1086$)⫢⨠(($7455$⊊)≭$2049$⊢$2093$)↬($7499$↳∿⪆$1075$⇞)","expression":"(⪩⨒∯233033+⪩⨒∯223022)⪥(⪩⨒∯312021⊢)⨓(⪩⨒∯1333112⨱∎)∳⫺(⪩⨒∯1103023⊋⪩⨒∯100332)⫢⨠((⪩⨒∯1310133⊊)≭⪩⨒∯200001⊢⪩⨒∯200231)↬(⪩⨒∯1311023↳∿⪆⪩⨒∯100303⇞)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6837,"operation_count":14,"complexity_ratio":488.35714285714283,"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":3023,"base":4},"right_expr":{"type":"numeric_atoms","value":2762,"base":4}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3465,"base":4}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":8150,"base":4}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":5323,"base":4},"right_expr":{"type":"numeric_atoms","value":1086,"base":4}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":7455,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2049,"base":4},"right_expr":{"type":"numeric_atoms","value":2093,"base":4}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":7499,"base":4},"right_expr":{"type":"numeric_atoms","value":1075,"base":4}}}}},"used_operators":["xlXykHWxX1","3ViojmjbAp","QbnwKVWMIQ","W4YGzv6Whe","40aOVDgCDB","AzXXKTstlj","MmTdOpaElr","W4tP9CfskL","B5M0gjZbta","rxpJgHHUmx","W9R8I5fN5A","5twsqlHp2o","5JYyxRJd4f","Cw4SuJJGHO"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","NTOWxs364D","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","tifHPKVTfV","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rGHVDoGpnC","AHs5Up7iyr","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3023","layer":4},{"info":"number node, value=2762","layer":4},{"info":"compute binary expreesion, left_input=3023, right_input=2762, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5785","layer":3},{"info":"number node, value=3465","layer":4},{"info":"compute unary expreesion, input=3465, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-3712","layer":3},{"info":"compute binary expreesion, left_input=5785, right_input=-3712, 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=8150","layer":4},{"info":"compute unary expreesion, input=8150, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=5323","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=5323, right_input=1086, 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=34396144","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=34396144, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-68792226","layer":2},{"info":"compute binary expreesion, left_input=-116, right_input=-68792226, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=7455","layer":4},{"info":"compute unary expreesion, input=7455, 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=2049","layer":4},{"info":"number node, value=2093","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=2093, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4342","layer":3},{"info":"compute binary expreesion, left_input=90927, right_input=-4342, 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=7499","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=7499, right_input=1075, 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 = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , 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=nan, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯233033+⪩⨒∯223022)⪥(⪩⨒∯312021⊢)⨓(⪩⨒∯1333112⨱∎)∳⫺(⪩⨒∯1103023⊋⪩⨒∯100332)⫢⨠((⪩⨒∯1310133⊊)≭⪩⨒∯200001⊢⪩⨒∯200231)↬(⪩⨒∯1311023↳∿⪆⪩⨒∯100303⇞)=NaN","reverse_text":"NaN=(⪩⨒∯233033+⪩⨒∯223022)⪥(⪩⨒∯312021⊢)⨓(⪩⨒∯1333112⨱∎)∳⫺(⪩⨒∯1103023⊋⪩⨒∯100332)⫢⨠((⪩⨒∯1310133⊊)≭⪩⨒∯200001⊢⪩⨒∯200231)↬(⪩⨒∯1311023↳∿⪆⪩⨒∯100303⇞)","cot":[{"info":"⪩⨒∯233033+⪩⨒∯223022=⪩⨒∯1122121","layer":3},{"info":"⪩⨒∯312021⊢=⪩⨒∯-322000","layer":3},{"info":"⪩⨒∯1122121⪥⪩⨒∯-322000=⪩⨒∯-1310","layer":2},{"info":"⪩⨒∯1333112⨱∎=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1103023⊋⪩⨒∯100332=⪩⨒∯2003031133300","layer":3},{"info":"⪩⨒∯0∳⫺⪩⨒∯2003031133300=⪩⨒∯-10012122332202","layer":2},{"info":"⪩⨒∯-1310⨓⪩⨒∯-10012122332202=NaN","layer":1},{"info":"⪩⨒∯1310133⊊=⪩⨒∯112030233","layer":3},{"info":"⪩⨒∯200001⊢⪩⨒∯200231=⪩⨒∯-1003312","layer":3},{"info":"⪩⨒∯112030233≭⪩⨒∯-1003312=NaN","layer":2},{"info":"⪩⨒∯1311023↳∿⪆⪩⨒∯100303=NaN","layer":3},{"info":"NaN⇞=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"NaN⫢⨠NaN=NaN","layer":0}]}
{"id":292,"expression_no_base_symbol":"($9450$∑⇟⊟$3672$∐⫣)⨑≵⋬($5874$⩘⨬⇊)↙($2418$⫠↝⫳)∖(($1002$⪘⫢$3994$)⪛(⇾⩊⇾$3960$))↳∿⪆(($3704$⊵↤)⩁)","expression":"(⪩⨒∯2103222∑⇟⊟⪩⨒∯321120∐⫣)⨑≵⋬(⪩⨒∯1123302⩘⨬⇊)↙(⪩⨒∯211302⫠↝⫳)∖((⪩⨒∯33222⪘⫢⪩⨒∯332122)⪛(⇾⩊⇾⪩⨒∯331320))↳∿⪆((⪩⨒∯321320⊵↤)⩁)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3493,"operation_count":13,"complexity_ratio":268.6923076923077,"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":9450,"base":4},"right_expr":{"type":"numeric_atoms","value":3672,"base":4}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"numeric_atoms","value":5874,"base":4}},"right_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"numeric_atoms","value":2418,"base":4}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1002,"base":4},"right_expr":{"type":"numeric_atoms","value":3994,"base":4}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3960,"base":4}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":3704,"base":4}}}}},"used_operators":["tXD093vOjl","XnXgA4xnOs","4CyGpkTkEk","U7g4x0WXJJ","yyfyN0ffXY","XXmTpEpWTW","8n5YIzOsVS","Cw4SuJJGHO","uFcxV4UQCh","oacrs7FA3X","bx9Z9DAK5y","5GqDbVmqXU","7IPrd9c3lf"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","XPYlsWDdGa","eewbuw0ToL","e1ybzncUwg","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=9450","layer":4},{"info":"number node, value=3672","layer":4},{"info":"compute binary expreesion, left_input=9450, right_input=3672, 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 = 4CyGpkTkEk, unary_op_definition = 'a∐⫣ = { (≉(⪲⇎(a⨰a))) }', output=nan","layer":2},{"info":"number node, value=5874","layer":4},{"info":"compute unary expreesion, input=5874, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=2418","layer":4},{"info":"compute unary expreesion, input=2418, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=77999","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=77999, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=3994","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=3994, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1880","layer":3},{"info":"number node, value=3960","layer":4},{"info":"compute unary expreesion, input=3960, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-42126","layer":3},{"info":"compute binary expreesion, left_input=1880, right_input=-42126, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-40246","layer":2},{"info":"number node, value=3704","layer":4},{"info":"compute unary expreesion, input=3704, 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 = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-67","layer":2},{"info":"compute binary expreesion, left_input=-40246, right_input=-67, 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 = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯2103222∑⇟⊟⪩⨒∯321120∐⫣)⨑≵⋬(⪩⨒∯1123302⩘⨬⇊)↙(⪩⨒∯211302⫠↝⫳)∖((⪩⨒∯33222⪘⫢⪩⨒∯332122)⪛(⇾⩊⇾⪩⨒∯331320))↳∿⪆((⪩⨒∯321320⊵↤)⩁)=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⪩⨒∯2103222∑⇟⊟⪩⨒∯321120∐⫣)⨑≵⋬(⪩⨒∯1123302⩘⨬⇊)↙(⪩⨒∯211302⫠↝⫳)∖((⪩⨒∯33222⪘⫢⪩⨒∯332122)⪛(⇾⩊⇾⪩⨒∯331320))↳∿⪆((⪩⨒∯321320⊵↤)⩁)","cot":[{"info":"⪩⨒∯2103222∑⇟⊟⪩⨒∯321120=NaN","layer":3},{"info":"NaN∐⫣=NaN","layer":2},{"info":"⪩⨒∯1123302⩘⨬⇊=NaN","layer":3},{"info":"⪩⨒∯211302⫠↝⫳=⪩⨒∯103002233","layer":3},{"info":"NaN↙⪩⨒∯103002233=NaN","layer":2},{"info":"NaN⨑≵⋬NaN=NaN","layer":1},{"info":"⪩⨒∯33222⪘⫢⪩⨒∯332122=⪩⨒∯131120","layer":3},{"info":"⇾⩊⇾⪩⨒∯331320=⪩⨒∯-22102032","layer":3},{"info":"⪩⨒∯131120⪛⪩⨒∯-22102032=⪩⨒∯-21310312","layer":2},{"info":"⪩⨒∯321320⊵↤=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1003⩁=⪩⨒∯-1003","layer":2},{"info":"⪩⨒∯-21310312↳∿⪆⪩⨒∯-1003=NaN","layer":1},{"info":"NaN∖NaN=⪩⨒∯0","layer":0}]}
{"id":293,"expression_no_base_symbol":"($8091$∴$3181$⋥⋵⩄($5532$∣$1870$)↺($4948$⨜⨶$2081$⪹))⫢⨠((⩩$4297$)⩌⋺($5541$∲⫓$1075$))⋹⋡⊁($2235$⫌⩉⩟$1718$⪁$3121$≬⇓$5889$)","expression":"(⪩⨒∯1332123∴⪩⨒∯301231⋥⋵⩄(⪩⨒∯1112130∣⪩⨒∯131032)↺(⪩⨒∯1031110⨜⨶⪩⨒∯200201⪹))⫢⨠((⩩⪩⨒∯1003021)⩌⋺(⪩⨒∯1112211∲⫓⪩⨒∯100303))⋹⋡⊁(⪩⨒∯202323⫌⩉⩟⪩⨒∯122312⪁⪩⨒∯300301≬⇓⪩⨒∯1130001)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":20071,"operation_count":14,"complexity_ratio":1433.642857142857,"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":8091,"base":4},"right_expr":{"type":"numeric_atoms","value":3181,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":5532,"base":4},"right_expr":{"type":"numeric_atoms","value":1870,"base":4}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":4948,"base":4},"right_expr":{"type":"numeric_atoms","value":2081,"base":4}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4297,"base":4}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5541,"base":4},"right_expr":{"type":"numeric_atoms","value":1075,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2235,"base":4},"right_expr":{"type":"numeric_atoms","value":1718,"base":4}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":3121,"base":4},"right_expr":{"type":"numeric_atoms","value":5889,"base":4}}}}},"used_operators":["xlXykHWxX1","7j4O788W3g","7t3wd0Fuz7","hrf7POJlIJ","PPChnnnBFF","B3sABdIn96","HiPekx5b7W","As8RqfVLgs","g7Hmc5v1ko","kMhfGuqI2H","i8ToyICDmI","I7sXao9hZE","XIIwhv8d0m","jWTQ2TZYIH"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8091","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=8091, right_input=3181, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=17830","layer":3},{"info":"number node, value=5532","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=5532, right_input=1870, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5532","layer":3},{"info":"compute binary expreesion, left_input=17830, right_input=5532, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=4948","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=4948, right_input=2081, 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=-3906","layer":3},{"info":"compute unary expreesion, input=-3906, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=-2258","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-2258, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2258","layer":1},{"info":"number node, value=4297","layer":4},{"info":"compute unary expreesion, input=4297, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=5541","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=5541, right_input=1075, 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 = 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":"number node, value=2235","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=2235, right_input=1718, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3121","layer":4},{"info":"number node, value=5889","layer":4},{"info":"compute binary expreesion, left_input=3121, right_input=5889, 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=-50, right_input=-22, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2258, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1332123∴⪩⨒∯301231⋥⋵⩄(⪩⨒∯1112130∣⪩⨒∯131032)↺(⪩⨒∯1031110⨜⨶⪩⨒∯200201⪹))⫢⨠((⩩⪩⨒∯1003021)⩌⋺(⪩⨒∯1112211∲⫓⪩⨒∯100303))⋹⋡⊁(⪩⨒∯202323⫌⩉⩟⪩⨒∯122312⪁⪩⨒∯300301≬⇓⪩⨒∯1130001)=NaN","reverse_text":"NaN=(⪩⨒∯1332123∴⪩⨒∯301231⋥⋵⩄(⪩⨒∯1112130∣⪩⨒∯131032)↺(⪩⨒∯1031110⨜⨶⪩⨒∯200201⪹))⫢⨠((⩩⪩⨒∯1003021)⩌⋺(⪩⨒∯1112211∲⫓⪩⨒∯100303))⋹⋡⊁(⪩⨒∯202323⫌⩉⩟⪩⨒∯122312⪁⪩⨒∯300301≬⇓⪩⨒∯1130001)","cot":[{"info":"⪩⨒∯1332123∴⪩⨒∯301231=⪩⨒∯10112212","layer":3},{"info":"⪩⨒∯1112130∣⪩⨒∯131032=⪩⨒∯1112130","layer":3},{"info":"⪩⨒∯10112212⋥⋵⩄⪩⨒∯1112130=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯1031110⨜⨶⪩⨒∯200201=⪩⨒∯-331002","layer":3},{"info":"⪩⨒∯-331002⪹=⪩⨒∯-203102","layer":2},{"info":"⪩⨒∯1301↺⪩⨒∯-203102=⪩⨒∯-203102","layer":1},{"info":"⩩⪩⨒∯1003021=NaN","layer":3},{"info":"⪩⨒∯1112211∲⫓⪩⨒∯100303=⪩⨒∯0","layer":3},{"info":"NaN⩌⋺⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯202323⫌⩉⩟⪩⨒∯122312=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯300301≬⇓⪩⨒∯1130001=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯-302⪁⪩⨒∯-112=NaN","layer":2},{"info":"NaN⋹⋡⊁NaN=NaN","layer":1},{"info":"⪩⨒∯-203102⫢⨠NaN=NaN","layer":0}]}
{"id":294,"expression_no_base_symbol":"(($2866$⪨⊡$3306$)∥⊢⊲($1440$⫰⋱$2539$))≝⊿(($3278$⫲≸⪮$2845$)⊔($1904$⨎$2407$))⫚↹⊑($3813$⇷$1063$)⊝⪿⪼$1378$↢$2792$⨑≵⋬(⪹$1918$⊱⇼⊻$6066$)","expression":"((⪩⨒∯230302⪨⊡⪩⨒∯303222)∥⊢⊲(⪩⨒∯112200⫰⋱⪩⨒∯213223))≝⊿((⪩⨒∯303032⫲≸⪮⪩⨒∯230131)⊔(⪩⨒∯131300⨎⪩⨒∯211213))⫚↹⊑(⪩⨒∯323211⇷⪩⨒∯100213)⊝⪿⪼⪩⨒∯111202↢⪩⨒∯223220⨑≵⋬(⪹⪩⨒∯131332⊱⇼⊻⪩⨒∯1132302)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":56807,"operation_count":14,"complexity_ratio":4057.6428571428573,"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":2866,"base":4},"right_expr":{"type":"numeric_atoms","value":3306,"base":4}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1440,"base":4},"right_expr":{"type":"numeric_atoms","value":2539,"base":4}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3278,"base":4},"right_expr":{"type":"numeric_atoms","value":2845,"base":4}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1904,"base":4},"right_expr":{"type":"numeric_atoms","value":2407,"base":4}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3813,"base":4},"right_expr":{"type":"numeric_atoms","value":1063,"base":4}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1378,"base":4},"right_expr":{"type":"numeric_atoms","value":2792,"base":4}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1918,"base":4},"right_expr":{"type":"numeric_atoms","value":6066,"base":4}}}}},"used_operators":["dfKe02y8D2","OKKcZfAt5B","v1UQAVDJRr","kuIXHzHcAH","6o9Blt3TJ6","E4l6HwMY31","P3lXMJvFrc","rJVOvQCfKK","XnXgA4xnOs","3Oe9XWJUTD","mp7IySMOzn","WR6HLWljOP","USyYr0JgAa","FyVja0WsTP"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","12rbrZMWeM","EBcxylXtPf","rGHVDoGpnC","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","tifHPKVTfV","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⪩⨒∯-12333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2866","layer":4},{"info":"number node, value=3306","layer":4},{"info":"compute binary expreesion, left_input=2866, right_input=3306, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1440","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=2539, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1407","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1407, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=3278","layer":4},{"info":"number node, value=2845","layer":4},{"info":"compute binary expreesion, left_input=3278, right_input=2845, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3278","layer":3},{"info":"number node, value=1904","layer":4},{"info":"number node, value=2407","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=2407, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2407","layer":3},{"info":"compute binary expreesion, left_input=3278, right_input=2407, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=16191","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=16191, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":1},{"info":"number node, value=3813","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=3813, right_input=1063, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2126","layer":3},{"info":"number node, value=1378","layer":4},{"info":"number node, value=2792","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=2792, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=894","layer":3},{"info":"compute binary expreesion, left_input=2126, right_input=894, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=35694","layer":2},{"info":"number node, value=1918","layer":4},{"info":"number node, value=6066","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=6066, 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 = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-254","layer":2},{"info":"compute binary expreesion, left_input=35694, right_input=-254, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=183167","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=183167, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯230302⪨⊡⪩⨒∯303222)∥⊢⊲(⪩⨒∯112200⫰⋱⪩⨒∯213223))≝⊿((⪩⨒∯303032⫲≸⪮⪩⨒∯230131)⊔(⪩⨒∯131300⨎⪩⨒∯211213))⫚↹⊑(⪩⨒∯323211⇷⪩⨒∯100213)⊝⪿⪼⪩⨒∯111202↢⪩⨒∯223220⨑≵⋬(⪹⪩⨒∯131332⊱⇼⊻⪩⨒∯1132302)=⪩⨒∯-12333","reverse_text":"⪩⨒∯-12333=((⪩⨒∯230302⪨⊡⪩⨒∯303222)∥⊢⊲(⪩⨒∯112200⫰⋱⪩⨒∯213223))≝⊿((⪩⨒∯303032⫲≸⪮⪩⨒∯230131)⊔(⪩⨒∯131300⨎⪩⨒∯211213))⫚↹⊑(⪩⨒∯323211⇷⪩⨒∯100213)⊝⪿⪼⪩⨒∯111202↢⪩⨒∯223220⨑≵⋬(⪹⪩⨒∯131332⊱⇼⊻⪩⨒∯1132302)","cot":[{"info":"⪩⨒∯230302⪨⊡⪩⨒∯303222=⪩⨒∯0","layer":3},{"info":"⪩⨒∯112200⫰⋱⪩⨒∯213223=⪩⨒∯-111333","layer":3},{"info":"⪩⨒∯0∥⊢⊲⪩⨒∯-111333=NaN","layer":2},{"info":"⪩⨒∯303032⫲≸⪮⪩⨒∯230131=⪩⨒∯303032","layer":3},{"info":"⪩⨒∯131300⨎⪩⨒∯211213=⪩⨒∯211213","layer":3},{"info":"⪩⨒∯303032⊔⪩⨒∯211213=⪩⨒∯3330333","layer":2},{"info":"NaN≝⊿⪩⨒∯3330333=NaN","layer":1},{"info":"⪩⨒∯323211⇷⪩⨒∯100213=⪩⨒∯201032","layer":3},{"info":"⪩⨒∯111202↢⪩⨒∯223220=⪩⨒∯31332","layer":3},{"info":"⪩⨒∯201032⊝⪿⪼⪩⨒∯31332=⪩⨒∯20231232","layer":2},{"info":"⪩⨒∯131332⊱⇼⊻⪩⨒∯1132302=⪩⨒∯12302","layer":3},{"info":"⪹⪩⨒∯12302=⪩⨒∯-3332","layer":2},{"info":"⪩⨒∯20231232⨑≵⋬⪩⨒∯-3332=⪩⨒∯230231333","layer":1},{"info":"NaN⫚↹⊑⪩⨒∯230231333=⪩⨒∯-12333","layer":0}]}
{"id":295,"expression_no_base_symbol":"(⩏⊷≩(⪸(⨑⩽⪐$8066$)))⩏","expression":"(⩏⊷≩(⪸(⨑⩽⪐⪩⨒∯1332002)))⩏","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":591,"operation_count":4,"complexity_ratio":147.75,"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":8066,"base":4}}}}},"used_operators":["iA2gmKZ3Wj","uOZ1tnYMDE","86A5ENbKR9","AF7qkfDlqP"],"dependent_operators":["z6LnFrNh4i","Tcnh7f0tEr","23Mk6UjR3U","12rbrZMWeM","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8066","layer":4},{"info":"compute unary expreesion, input=8066, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7793","layer":3},{"info":"compute unary expreesion, input=-7793, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=76032","layer":2},{"info":"compute unary expreesion, input=76032, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=151763","layer":1},{"info":"compute unary expreesion, input=151763, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":0}],"base":4,"result_base":4,"text":"(⩏⊷≩(⪸(⨑⩽⪐⪩⨒∯1332002)))⩏=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⩏⊷≩(⪸(⨑⩽⪐⪩⨒∯1332002)))⩏","cot":[{"info":"⨑⩽⪐⪩⨒∯1332002=⪩⨒∯-1321301","layer":3},{"info":"⪸⪩⨒∯-1321301=⪩⨒∯102210000","layer":2},{"info":"⩏⊷≩⪩⨒∯102210000=⪩⨒∯211003103","layer":1},{"info":"⪩⨒∯211003103⩏=⪩⨒∯0","layer":0}]}
{"id":296,"expression_no_base_symbol":"($5208$⪕$1975$)⊉↱≁(⪁⇼$1098$)⊝⪿⪼((⊗$3782$)⪒$1582$⪒⊣⊆$6856$)⫦⪉($1005$⇌⫙⪟$5282$⊭↱$3222$⩌⋺$1197$)∺≝⩲(($2916$⪪$2952$)⇍⊗($3120$∑⇟⊟$1169$))","expression":"(⪩⨒∯1101120⪕⪩⨒∯132313)⊉↱≁(⪁⇼⪩⨒∯101022)⊝⪿⪼((⊗⪩⨒∯323012)⪒⪩⨒∯120232⪒⊣⊆⪩⨒∯1223020)⫦⪉(⪩⨒∯33231⇌⫙⪟⪩⨒∯1102202⊭↱⪩⨒∯302112⩌⋺⪩⨒∯102231)∺≝⩲((⪩⨒∯231210⪪⪩⨒∯232020)⇍⊗(⪩⨒∯300300∑⇟⊟⪩⨒∯102101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9078,"operation_count":15,"complexity_ratio":605.2,"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":5208,"base":4},"right_expr":{"type":"numeric_atoms","value":1975,"base":4}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":1098,"base":4}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3782,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1582,"base":4},"right_expr":{"type":"numeric_atoms","value":6856,"base":4}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":1005,"base":4},"right_expr":{"type":"numeric_atoms","value":5282,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":3222,"base":4},"right_expr":{"type":"numeric_atoms","value":1197,"base":4}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2916,"base":4},"right_expr":{"type":"numeric_atoms","value":2952,"base":4}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3120,"base":4},"right_expr":{"type":"numeric_atoms","value":1169,"base":4}}}}},"used_operators":["wscyQdcy20","3Oe9XWJUTD","w2P8NbNXyL","umQnsF7QlU","ZNVVrZ94lY","f6k1SAg4EE","RhiyfpczSx","eRqsBgTDFp","KPf6cnQVty","COABgblf1C","AFVx7xoS7T","g7Hmc5v1ko","5uvYHDjeKN","xD69zh8xqp","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","sdazOOVcIp","W4YGzv6Whe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","FU0Cs4j7VP","JclMnS0uGI","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪩⨒∯-20333322030","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5208","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=5208, right_input=1975, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=9342","layer":3},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=9342, right_input=422, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=90836","layer":2},{"info":"number node, value=3782","layer":4},{"info":"compute unary expreesion, input=3782, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-7564","layer":3},{"info":"number node, value=1582","layer":4},{"info":"number node, value=6856","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=6856, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3164","layer":3},{"info":"compute binary expreesion, left_input=-7564, right_input=3164, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=4400","layer":2},{"info":"compute binary expreesion, left_input=90836, right_input=4400, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=1181912","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=5282","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5282, 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":"number node, value=3222","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=3222, right_input=1197, 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=-4540","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-4540, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9301","layer":2},{"info":"number node, value=2916","layer":4},{"info":"number node, value=2952","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=2952, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-436405","layer":3},{"info":"number node, value=3120","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=3120, right_input=1169, 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=-436405, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9301, right_input=nan, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=1181912, right_input=160, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-2358924","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1101120⪕⪩⨒∯132313)⊉↱≁(⪁⇼⪩⨒∯101022)⊝⪿⪼((⊗⪩⨒∯323012)⪒⪩⨒∯120232⪒⊣⊆⪩⨒∯1223020)⫦⪉(⪩⨒∯33231⇌⫙⪟⪩⨒∯1102202⊭↱⪩⨒∯302112⩌⋺⪩⨒∯102231)∺≝⩲((⪩⨒∯231210⪪⪩⨒∯232020)⇍⊗(⪩⨒∯300300∑⇟⊟⪩⨒∯102101))=⪩⨒∯-20333322030","reverse_text":"⪩⨒∯-20333322030=(⪩⨒∯1101120⪕⪩⨒∯132313)⊉↱≁(⪁⇼⪩⨒∯101022)⊝⪿⪼((⊗⪩⨒∯323012)⪒⪩⨒∯120232⪒⊣⊆⪩⨒∯1223020)⫦⪉(⪩⨒∯33231⇌⫙⪟⪩⨒∯1102202⊭↱⪩⨒∯302112⩌⋺⪩⨒∯102231)∺≝⩲((⪩⨒∯231210⪪⪩⨒∯232020)⇍⊗(⪩⨒∯300300∑⇟⊟⪩⨒∯102101))","cot":[{"info":"⪩⨒∯1101120⪕⪩⨒∯132313=⪩⨒∯2101332","layer":3},{"info":"⪁⇼⪩⨒∯101022=⪩⨒∯12212","layer":3},{"info":"⪩⨒∯2101332⊉↱≁⪩⨒∯12212=⪩⨒∯112023110","layer":2},{"info":"⊗⪩⨒∯323012=⪩⨒∯-1312030","layer":3},{"info":"⪩⨒∯120232⪒⊣⊆⪩⨒∯1223020=⪩⨒∯301130","layer":3},{"info":"⪩⨒∯-1312030⪒⪩⨒∯301130=⪩⨒∯1010300","layer":2},{"info":"⪩⨒∯112023110⊝⪿⪼⪩⨒∯1010300=⪩⨒∯10200203120","layer":1},{"info":"⪩⨒∯33231⇌⫙⪟⪩⨒∯1102202=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯302112⩌⋺⪩⨒∯102231=⪩⨒∯-1012330","layer":3},{"info":"⪩⨒∯1301⊭↱⪩⨒∯-1012330=⪩⨒∯-2101111","layer":2},{"info":"⪩⨒∯231210⪪⪩⨒∯232020=⪩⨒∯-1222202311","layer":3},{"info":"⪩⨒∯300300∑⇟⊟⪩⨒∯102101=NaN","layer":3},{"info":"⪩⨒∯-1222202311⇍⊗NaN=NaN","layer":2},{"info":"⪩⨒∯-2101111∺≝⩲NaN=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯10200203120⫦⪉⪩⨒∯2200=⪩⨒∯-20333322030","layer":0}]}
{"id":297,"expression_no_base_symbol":"(($4612$⪃⊛⇣$4231$⩠)⇔⨋)⊾⪯⋞(($2673$⨜⨶$2719$∩⋅)*$1530$⋹⋡⊁$2048$⇣⩺⋵(⋂$2186$))","expression":"((⪩⨒∯1020010⪃⊛⇣⪩⨒∯1002013⩠)⇔⨋)⊾⪯⋞((⪩⨒∯221301⨜⨶⪩⨒∯222133∩⋅)*⪩⨒∯113322⋹⋡⊁⪩⨒∯200000⇣⩺⋵(⋂⪩⨒∯202022))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":63364,"operation_count":10,"complexity_ratio":6336.4,"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":4612,"base":4},"right_expr":{"type":"numeric_atoms","value":4231,"base":4}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2673,"base":4},"right_expr":{"type":"numeric_atoms","value":2719,"base":4}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1530,"base":4},"right_expr":{"type":"numeric_atoms","value":2048,"base":4}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":2186,"base":4}}}}},"used_operators":["HK0tfVPux8","uBihLCJcMX","sJAwomhLZr","rrgAzCduG9","9HNa5Wba9A","2MzE1hQ0cz","HiPekx5b7W","F4yD0voBRQ","As8RqfVLgs","BUOGQAYlQx"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","Qy55tPpLXF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⪩⨒∯-30310","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4612","layer":4},{"info":"number node, value=4231","layer":4},{"info":"compute binary expreesion, left_input=4612, right_input=4231, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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=2673","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=2673, right_input=2719, 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=-5182","layer":3},{"info":"compute unary expreesion, input=-5182, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":2},{"info":"number node, value=1530","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=1530, right_input=2048, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2798","layer":3},{"info":"number node, value=2186","layer":4},{"info":"compute unary expreesion, input=2186, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-30008","layer":3},{"info":"compute binary expreesion, left_input=2798, right_input=-30008, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-260, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-17420","layer":1},{"info":"compute binary expreesion, left_input=287, right_input=-17420, 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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1020010⪃⊛⇣⪩⨒∯1002013⩠)⇔⨋)⊾⪯⋞((⪩⨒∯221301⨜⨶⪩⨒∯222133∩⋅)*⪩⨒∯113322⋹⋡⊁⪩⨒∯200000⇣⩺⋵(⋂⪩⨒∯202022))=⪩⨒∯-30310","reverse_text":"⪩⨒∯-30310=((⪩⨒∯1020010⪃⊛⇣⪩⨒∯1002013⩠)⇔⨋)⊾⪯⋞((⪩⨒∯221301⨜⨶⪩⨒∯222133∩⋅)*⪩⨒∯113322⋹⋡⊁⪩⨒∯200000⇣⩺⋵(⋂⪩⨒∯202022))","cot":[{"info":"⪩⨒∯1020010⪃⊛⇣⪩⨒∯1002013=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯103102⩠=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⇔⨋=⪩⨒∯10133","layer":1},{"info":"⪩⨒∯221301⨜⨶⪩⨒∯222133=⪩⨒∯-1100332","layer":3},{"info":"⪩⨒∯-1100332∩⋅=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯113322⋹⋡⊁⪩⨒∯200000=⪩⨒∯223232","layer":3},{"info":"⋂⪩⨒∯202022=⪩⨒∯-13110320","layer":3},{"info":"⪩⨒∯223232⇣⩺⋵⪩⨒∯-13110320=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯1003*⪩⨒∯-10010=⪩⨒∯-10100030","layer":1},{"info":"⪩⨒∯10133⊾⪯⋞⪩⨒∯-10100030=⪩⨒∯-30310","layer":0}]}
{"id":298,"expression_no_base_symbol":"((⨭⩧⫛($3888$↱$1556$))⫰⋱(($1825$⊬⫿⊭)⨳⩥⨓(∨∊⋏$3194$)))⩘","expression":"((⨭⩧⫛(⪩⨒∯330300↱⪩⨒∯120110))⫰⋱((⪩⨒∯130201⊬⫿⊭)⨳⩥⨓(∨∊⋏⪩⨒∯301322)))⩘","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":268,"operation_count":7,"complexity_ratio":38.285714285714285,"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":3888,"base":4},"right_expr":{"type":"numeric_atoms","value":1556,"base":4}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":1825,"base":4}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":3194,"base":4}}}}},"used_operators":["wvHyciQT5X","6o9Blt3TJ6","g21JL6JxX7","SR5kFfdi6N","nCS4ZIUYfx","v0DYgG9ikt","R5aXW34M0v"],"dependent_operators":["9ICcGScMcE","dfKe02y8D2","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3888","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=3888, right_input=1556, 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=-4146","layer":3},{"info":"compute unary expreesion, input=-4146, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":2},{"info":"number node, value=1825","layer":4},{"info":"compute unary expreesion, input=1825, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-5475","layer":3},{"info":"number node, value=3194","layer":4},{"info":"compute unary expreesion, input=3194, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=63455","layer":3},{"info":"compute binary expreesion, left_input=-5475, right_input=63455, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=68930","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=68930, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":0}],"base":4,"result_base":4,"text":"((⨭⩧⫛(⪩⨒∯330300↱⪩⨒∯120110))⫰⋱((⪩⨒∯130201⊬⫿⊭)⨳⩥⨓(∨∊⋏⪩⨒∯301322)))⩘=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⨭⩧⫛(⪩⨒∯330300↱⪩⨒∯120110))⫰⋱((⪩⨒∯130201⊬⫿⊭)⨳⩥⨓(∨∊⋏⪩⨒∯301322)))⩘","cot":[{"info":"⪩⨒∯330300↱⪩⨒∯120110=⪩⨒∯-1000302","layer":3},{"info":"⨭⩧⫛⪩⨒∯-1000302=NaN","layer":2},{"info":"⪩⨒∯130201⊬⫿⊭=⪩⨒∯-1111203","layer":3},{"info":"∨∊⋏⪩⨒∯301322=⪩⨒∯33133133","layer":3},{"info":"⪩⨒∯-1111203⨳⩥⨓⪩⨒∯33133133=⪩⨒∯100311002","layer":2},{"info":"NaN⫰⋱⪩⨒∯100311002=NaN","layer":1},{"info":"NaN⩘=⪩⨒∯1003","layer":0}]}
{"id":299,"expression_no_base_symbol":"∮(($2962$⊋≦⊧$1517$⩚⊴⇥$3151$⨔⇊$1542$)⩒⫫($2633$⊴$1258$)⇍⊗$1548$⩌⋺$2896$)","expression":"∮((⪩⨒∯232102⊋≦⊧⪩⨒∯113231⩚⊴⇥⪩⨒∯301033⨔⇊⪩⨒∯120012)⩒⫫(⪩⨒∯221021⊴⪩⨒∯103222)⇍⊗⪩⨒∯120030⩌⋺⪩⨒∯231100)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8006,"operation_count":8,"complexity_ratio":1000.75,"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":2962,"base":4},"right_expr":{"type":"numeric_atoms","value":1517,"base":4}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3151,"base":4},"right_expr":{"type":"numeric_atoms","value":1542,"base":4}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2633,"base":4},"right_expr":{"type":"numeric_atoms","value":1258,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1548,"base":4},"right_expr":{"type":"numeric_atoms","value":2896,"base":4}}}}},"used_operators":["CqXKPLVYql","KFSx94NKJn","NTOWxs364D","oRDoc9rAEX","JclMnS0uGI","5uvYHDjeKN","Nsiff2A1zJ","g7Hmc5v1ko"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2962","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=2962, right_input=1517, 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=-2794","layer":3},{"info":"number node, value=3151","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=3151, right_input=1542, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1542","layer":3},{"info":"compute binary expreesion, left_input=-2794, right_input=1542, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=1131","layer":2},{"info":"number node, value=2633","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=1258, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1548","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=2896, 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=-4565","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4565, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"compute binary expreesion, left_input=1131, right_input=-244, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=829","layer":1},{"info":"compute unary expreesion, input=829, 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":0}],"base":4,"result_base":4,"text":"∮((⪩⨒∯232102⊋≦⊧⪩⨒∯113231⩚⊴⇥⪩⨒∯301033⨔⇊⪩⨒∯120012)⩒⫫(⪩⨒∯221021⊴⪩⨒∯103222)⇍⊗⪩⨒∯120030⩌⋺⪩⨒∯231100)=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=∮((⪩⨒∯232102⊋≦⊧⪩⨒∯113231⩚⊴⇥⪩⨒∯301033⨔⇊⪩⨒∯120012)⩒⫫(⪩⨒∯221021⊴⪩⨒∯103222)⇍⊗⪩⨒∯120030⩌⋺⪩⨒∯231100)","cot":[{"info":"⪩⨒∯232102⊋≦⊧⪩⨒∯113231=⪩⨒∯-223222","layer":3},{"info":"⪩⨒∯301033⨔⇊⪩⨒∯120012=⪩⨒∯120012","layer":3},{"info":"⪩⨒∯-223222⩚⊴⇥⪩⨒∯120012=⪩⨒∯101223","layer":2},{"info":"⪩⨒∯221021⊴⪩⨒∯103222=NaN","layer":3},{"info":"⪩⨒∯120030⩌⋺⪩⨒∯231100=⪩⨒∯-1013111","layer":3},{"info":"NaN⇍⊗⪩⨒∯-1013111=⪩⨒∯-3310","layer":2},{"info":"⪩⨒∯101223⩒⫫⪩⨒∯-3310=⪩⨒∯30331","layer":1},{"info":"∮⪩⨒∯30331=⪩⨒∯1003","layer":0}]}
{"id":300,"expression_no_base_symbol":"(⨙⪌(∑⇻≧$1759$))⪟⇏($3422$⊢$3050$⪥(⪭⩑⪱$2579$))⇣⩺⋵(($6511$⨎$1648$)⋛$4587$≝⊿$7418$≀⩗∶($4971$⨸⪁$4799$)⇣⩺⋵$1650$⋥⋵⩄$3364$)","expression":"(⨙⪌(∑⇻≧⪩⨒∯123133))⪟⇏(⪩⨒∯311132⊢⪩⨒∯233222⪥(⪭⩑⪱⪩⨒∯220103))⇣⩺⋵((⪩⨒∯1211233⨎⪩⨒∯121300)⋛⪩⨒∯1013223≝⊿⪩⨒∯1303322≀⩗∶(⪩⨒∯1031223⨸⪁⪩⨒∯1022333)⇣⩺⋵⪩⨒∯121302⋥⋵⩄⪩⨒∯310210)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":23837,"operation_count":14,"complexity_ratio":1702.642857142857,"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":1759,"base":4}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3422,"base":4},"right_expr":{"type":"numeric_atoms","value":3050,"base":4}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2579,"base":4}}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6511,"base":4},"right_expr":{"type":"numeric_atoms","value":1648,"base":4}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4587,"base":4},"right_expr":{"type":"numeric_atoms","value":7418,"base":4}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4971,"base":4},"right_expr":{"type":"numeric_atoms","value":4799,"base":4}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1650,"base":4},"right_expr":{"type":"numeric_atoms","value":3364,"base":4}}}}},"used_operators":["F4yD0voBRQ","GODebY97qR","vEGLkm4Z2k","l1M9WJ3V7u","QbnwKVWMIQ","5twsqlHp2o","SIgE0bArFf","8INZBEW696","YbUVn0Rbpy","rJVOvQCfKK","OKKcZfAt5B","g55IO6H4Gj","7t3wd0Fuz7"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","12rbrZMWeM","W4YGzv6Whe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"⪩⨒∯-10010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute unary expreesion, input=-852, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=3422","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=3050, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7088","layer":3},{"info":"number node, value=2579","layer":4},{"info":"compute unary expreesion, input=2579, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=-7088, right_input=8320752, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-49860","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=-49860, 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=6511","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=6511, right_input=1648, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1648","layer":3},{"info":"number node, value=4587","layer":4},{"info":"number node, value=7418","layer":4},{"info":"compute binary expreesion, left_input=4587, right_input=7418, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-19956","layer":3},{"info":"compute binary expreesion, left_input=1648, right_input=-19956, 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=-59223","layer":2},{"info":"number node, value=4971","layer":4},{"info":"number node, value=4799","layer":4},{"info":"compute binary expreesion, left_input=4971, right_input=4799, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19540","layer":3},{"info":"number node, value=1650","layer":4},{"info":"number node, value=3364","layer":4},{"info":"compute binary expreesion, left_input=1650, right_input=3364, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=19540, right_input=113, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=-59223, right_input=-260, 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=-1, right_input=0, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":4,"result_base":4,"text":"(⨙⪌(∑⇻≧⪩⨒∯123133))⪟⇏(⪩⨒∯311132⊢⪩⨒∯233222⪥(⪭⩑⪱⪩⨒∯220103))⇣⩺⋵((⪩⨒∯1211233⨎⪩⨒∯121300)⋛⪩⨒∯1013223≝⊿⪩⨒∯1303322≀⩗∶(⪩⨒∯1031223⨸⪁⪩⨒∯1022333)⇣⩺⋵⪩⨒∯121302⋥⋵⩄⪩⨒∯310210)=⪩⨒∯-10010","reverse_text":"⪩⨒∯-10010=(⨙⪌(∑⇻≧⪩⨒∯123133))⪟⇏(⪩⨒∯311132⊢⪩⨒∯233222⪥(⪭⩑⪱⪩⨒∯220103))⇣⩺⋵((⪩⨒∯1211233⨎⪩⨒∯121300)⋛⪩⨒∯1013223≝⊿⪩⨒∯1303322≀⩗∶(⪩⨒∯1031223⨸⪁⪩⨒∯1022333)⇣⩺⋵⪩⨒∯121302⋥⋵⩄⪩⨒∯310210)","cot":[{"info":"∑⇻≧⪩⨒∯123133=⪩⨒∯-31110","layer":3},{"info":"⨙⪌⪩⨒∯-31110=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯311132⊢⪩⨒∯233222=⪩⨒∯-1232300","layer":3},{"info":"⪭⩑⪱⪩⨒∯220103=⪩⨒∯133233123300","layer":3},{"info":"⪩⨒∯-1232300⪥⪩⨒∯133233123300=⪩⨒∯-30023010","layer":2},{"info":"⪩⨒∯31210⪟⇏⪩⨒∯-30023010=⪩⨒∯-1","layer":1},{"info":"⪩⨒∯1211233⨎⪩⨒∯121300=⪩⨒∯121300","layer":3},{"info":"⪩⨒∯1013223≝⊿⪩⨒∯1303322=⪩⨒∯-10313310","layer":3},{"info":"⪩⨒∯121300⋛⪩⨒∯-10313310=⪩⨒∯-32131113","layer":2},{"info":"⪩⨒∯1031223⨸⪁⪩⨒∯1022333=⪩⨒∯10301110","layer":3},{"info":"⪩⨒∯121302⋥⋵⩄⪩⨒∯310210=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯10301110⇣⩺⋵⪩⨒∯1301=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯-32131113≀⩗∶⪩⨒∯-10010=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-1⇣⩺⋵⪩⨒∯0=⪩⨒∯-10010","layer":0}]}
{"id":301,"expression_no_base_symbol":"((↪⫪⫘(⇋↷$5212$))∝($1765$≬⋮$4448$)⊨(⪹$2283$))⫸⇳(⇠((↴⪽⋼$4459$)⋘⨑⨽))","expression":"((↪⫪⫘(⇋↷⪩⨒∯1101130))∝(⪩⨒∯123211≬⋮⪩⨒∯1011200)⊨(⪹⪩⨒∯203223))⫸⇳(⇠((↴⪽⋼⪩⨒∯1011223)⋘⨑⨽))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1745,"operation_count":10,"complexity_ratio":174.5,"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":5212,"base":4}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1765,"base":4},"right_expr":{"type":"numeric_atoms","value":4448,"base":4}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2283,"base":4}}}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":4459,"base":4}}}}},"used_operators":["gx7XJ7hdpj","cTDWOvIxvz","9dWsAM3GFt","SWo3A1KBJH","vg4gO5BX6G","kbkesczE7y","USyYr0JgAa","18saOjeKKm","WmT3o8z6ya","5TUYCnJO6w"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","tifHPKVTfV","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5212","layer":4},{"info":"compute unary expreesion, input=5212, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=41696","layer":3},{"info":"compute unary expreesion, input=41696, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=1765","layer":4},{"info":"number node, value=4448","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=4448, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=2283","layer":4},{"info":"compute unary expreesion, input=2283, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2103","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-2103, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=4503","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=4503, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=25","layer":1},{"info":"number node, value=4459","layer":4},{"info":"compute unary expreesion, input=4459, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=4459","layer":3},{"info":"compute unary expreesion, input=4459, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=23078","layer":2},{"info":"compute unary expreesion, input=23078, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-22836","layer":1},{"info":"compute binary expreesion, left_input=25, right_input=-22836, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"((↪⫪⫘(⇋↷⪩⨒∯1101130))∝(⪩⨒∯123211≬⋮⪩⨒∯1011200)⊨(⪹⪩⨒∯203223))⫸⇳(⇠((↴⪽⋼⪩⨒∯1011223)⋘⨑⨽))=⪩⨒∯0","reverse_text":"⪩⨒∯0=((↪⫪⫘(⇋↷⪩⨒∯1101130))∝(⪩⨒∯123211≬⋮⪩⨒∯1011200)⊨(⪹⪩⨒∯203223))⫸⇳(⇠((↴⪽⋼⪩⨒∯1011223)⋘⨑⨽))","cot":[{"info":"⇋↷⪩⨒∯1101130=⪩⨒∯22023200","layer":3},{"info":"↪⫪⫘⪩⨒∯22023200=⪩⨒∯110","layer":2},{"info":"⪩⨒∯123211≬⋮⪩⨒∯1011200=⪩⨒∯31210","layer":3},{"info":"⪹⪩⨒∯203223=⪩⨒∯-200313","layer":3},{"info":"⪩⨒∯31210⊨⪩⨒∯-200313=⪩⨒∯1012113","layer":2},{"info":"⪩⨒∯110∝⪩⨒∯1012113=⪩⨒∯121","layer":1},{"info":"↴⪽⋼⪩⨒∯1011223=⪩⨒∯1011223","layer":3},{"info":"⪩⨒∯1011223⋘⨑⨽=⪩⨒∯11220212","layer":2},{"info":"⇠⪩⨒∯11220212=⪩⨒∯-11210310","layer":1},{"info":"⪩⨒∯121⫸⇳⪩⨒∯-11210310=⪩⨒∯0","layer":0}]}
{"id":302,"expression_no_base_symbol":"(($3450$⇂≾⫗$3574$*(⨭⩧⫛$1025$))⨝⩣∺)⇷(⇨($2355$∠⫱$1546$)⪬(⊊≼∋$2482$))","expression":"((⪩⨒∯311322⇂≾⫗⪩⨒∯313312*(⨭⩧⫛⪩⨒∯100001))⨝⩣∺)⇷(⇨(⪩⨒∯210303∠⫱⪩⨒∯120022)⪬(⊊≼∋⪩⨒∯212302))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3181,"operation_count":9,"complexity_ratio":353.44444444444446,"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":3450,"base":4},"right_expr":{"type":"numeric_atoms","value":3574,"base":4}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1025,"base":4}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2355,"base":4},"right_expr":{"type":"numeric_atoms","value":1546,"base":4}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2482,"base":4}}}}},"used_operators":["mp7IySMOzn","ancx8kZcWl","9HNa5Wba9A","aBQ6xLxuTc","g21JL6JxX7","G9tJMlZ94a","Ez1Nq5fNfI","QvoQhV0rrE","FWz7pXsQhA"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DZ8iAZOCBD","t8gj7n24qd","W4YGzv6Whe","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","k8jYdgA6NY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","B5M0gjZbta","jCPkEVoL5K"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3450","layer":4},{"info":"number node, value=3574","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=3574, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ancx8kZcWl, unary_op_definition = 'a⨝⩣∺ = { (-(a⊉≛↸a)) }', output=nan","layer":1},{"info":"number node, value=2355","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=1546, 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=2482","layer":4},{"info":"compute unary expreesion, input=2482, 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=1234, right_input=-447, 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 = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯311322⇂≾⫗⪩⨒∯313312*(⨭⩧⫛⪩⨒∯100001))⨝⩣∺)⇷(⇨(⪩⨒∯210303∠⫱⪩⨒∯120022)⪬(⊊≼∋⪩⨒∯212302))=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯311322⇂≾⫗⪩⨒∯313312*(⨭⩧⫛⪩⨒∯100001))⨝⩣∺)⇷(⇨(⪩⨒∯210303∠⫱⪩⨒∯120022)⪬(⊊≼∋⪩⨒∯212302))","cot":[{"info":"⪩⨒∯311322⇂≾⫗⪩⨒∯313312=⪩⨒∯-22210","layer":3},{"info":"⨭⩧⫛⪩⨒∯100001=NaN","layer":3},{"info":"⪩⨒∯-22210*NaN=NaN","layer":2},{"info":"NaN⨝⩣∺=NaN","layer":1},{"info":"⪩⨒∯210303∠⫱⪩⨒∯120022=⪩⨒∯103102","layer":3},{"info":"⊊≼∋⪩⨒∯212302=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯103102⪬⪩⨒∯-12333=⪩⨒∯103102","layer":2},{"info":"⇨⪩⨒∯103102=⪩⨒∯0","layer":1},{"info":"NaN⇷⪩⨒∯0=⪩⨒∯0","layer":0}]}
{"id":303,"expression_no_base_symbol":"(($2258$⊋$5710$)⇤($2112$⇽⩪))≴⪞⇿($1068$⩧⪆$3738$⪬∳)⊠≄⫣","expression":"((⪩⨒∯203102⊋⪩⨒∯1121032)⇤(⪩⨒∯201000⇽⩪))≴⪞⇿(⪩⨒∯100230⩧⪆⪩⨒∯322122⪬∳)⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":768536464,"operation_count":7,"complexity_ratio":109790923.42857143,"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":2258,"base":4},"right_expr":{"type":"numeric_atoms","value":5710,"base":4}},"right_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":2112,"base":4}}},"right_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1068,"base":4},"right_expr":{"type":"numeric_atoms","value":3738,"base":4}}}}},"used_operators":["DIvbN7qnHd","lvlrscuwVU","YSKBFp38Pu","W4tP9CfskL","FonBHBYJbU","O9U3z1385E","Ikt5ks8PT7"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","eewbuw0ToL","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2258","layer":4},{"info":"number node, value=5710","layer":4},{"info":"compute binary expreesion, left_input=2258, right_input=5710, 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=-153707868","layer":3},{"info":"number node, value=2112","layer":4},{"info":"compute unary expreesion, input=2112, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=4746","layer":3},{"info":"compute binary expreesion, left_input=-153707868, right_input=4746, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=768518458","layer":2},{"info":"number node, value=1068","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=3738, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3738","layer":3},{"info":"compute unary expreesion, input=-3738, 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=768518458, right_input=-709, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯203102⊋⪩⨒∯1121032)⇤(⪩⨒∯201000⇽⩪))≴⪞⇿(⪩⨒∯100230⩧⪆⪩⨒∯322122⪬∳)⊠≄⫣=NaN","reverse_text":"NaN=((⪩⨒∯203102⊋⪩⨒∯1121032)⇤(⪩⨒∯201000⇽⩪))≴⪞⇿(⪩⨒∯100230⩧⪆⪩⨒∯322122⪬∳)⊠≄⫣","cot":[{"info":"⪩⨒∯203102⊋⪩⨒∯1121032=⪩⨒∯-21022112111130","layer":3},{"info":"⪩⨒∯201000⇽⩪=⪩⨒∯1022022","layer":3},{"info":"⪩⨒∯-21022112111130⇤⪩⨒∯1022022=⪩⨒∯231303222210322","layer":2},{"info":"⪩⨒∯100230⩧⪆⪩⨒∯322122=⪩⨒∯-322122","layer":3},{"info":"⪩⨒∯-322122⪬∳=⪩⨒∯-23011","layer":2},{"info":"⪩⨒∯231303222210322≴⪞⇿⪩⨒∯-23011=Inf","layer":1},{"info":"Inf⊠≄⫣=NaN","layer":0}]}
{"id":304,"expression_no_base_symbol":"((($6479$⊴$1667$)↹⊜($3484$≨$1418$))⇉⇱⇎)∠⫱(⨰⫟⨤(⨦⪝($4999$⨚$1681$)))","expression":"(((⪩⨒∯1211033⊴⪩⨒∯122003)↹⊜(⪩⨒∯312130≨⪩⨒∯112022))⇉⇱⇎)∠⫱(⨰⫟⨤(⨦⪝(⪩⨒∯1032013⨚⪩⨒∯122101)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11092,"operation_count":8,"complexity_ratio":1386.5,"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":6479,"base":4},"right_expr":{"type":"numeric_atoms","value":1667,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":3484,"base":4},"right_expr":{"type":"numeric_atoms","value":1418,"base":4}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":4999,"base":4},"right_expr":{"type":"numeric_atoms","value":1681,"base":4}}}}},"used_operators":["QvoQhV0rrE","MRPaB8lBjK","9bazX3JMtO","Nsiff2A1zJ","0KMCeP1Jsh","Tw270M8GLb","SUjycxNXIR","nREPSIbpBE"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","dWAJyo7jo9","14qkJME0vr","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6479","layer":4},{"info":"number node, value=1667","layer":4},{"info":"compute binary expreesion, left_input=6479, right_input=1667, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3484","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=3484, right_input=1418, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-32364","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-32364, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=nan","layer":1},{"info":"number node, value=4999","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=4999, right_input=1681, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=4208","layer":3},{"info":"compute unary expreesion, input=4208, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":2},{"info":"compute unary expreesion, input=-1884, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1211033⊴⪩⨒∯122003)↹⊜(⪩⨒∯312130≨⪩⨒∯112022))⇉⇱⇎)∠⫱(⨰⫟⨤(⨦⪝(⪩⨒∯1032013⨚⪩⨒∯122101)))=NaN","reverse_text":"NaN=(((⪩⨒∯1211033⊴⪩⨒∯122003)↹⊜(⪩⨒∯312130≨⪩⨒∯112022))⇉⇱⇎)∠⫱(⨰⫟⨤(⨦⪝(⪩⨒∯1032013⨚⪩⨒∯122101)))","cot":[{"info":"⪩⨒∯1211033⊴⪩⨒∯122003=NaN","layer":3},{"info":"⪩⨒∯312130≨⪩⨒∯112022=⪩⨒∯-13321230","layer":3},{"info":"NaN↹⊜⪩⨒∯-13321230=NaN","layer":2},{"info":"NaN⇉⇱⇎=NaN","layer":1},{"info":"⪩⨒∯1032013⨚⪩⨒∯122101=⪩⨒∯1001300","layer":3},{"info":"⨦⪝⪩⨒∯1001300=⪩⨒∯-131130","layer":2},{"info":"⨰⫟⨤⪩⨒∯-131130=NaN","layer":1},{"info":"NaN∠⫱NaN=NaN","layer":0}]}
{"id":305,"expression_no_base_symbol":"(($2420$⪡$2907$)⇴($1314$⇡))⪬(⊄⩳↩(∜⨇$1529$))∽((⊁⨺$1668$)⫲≸⪮($3861$⪔$1284$))⪚($5603$↞⋁$2710$⩇∃⫛($2482$⩒⫫$5182$))","expression":"((⪩⨒∯211310⪡⪩⨒∯231123)⇴(⪩⨒∯110202⇡))⪬(⊄⩳↩(∜⨇⪩⨒∯113321))∽((⊁⨺⪩⨒∯122010)⫲≸⪮(⪩⨒∯330111⪔⪩⨒∯110010))⪚(⪩⨒∯1113203↞⋁⪩⨒∯222112⩇∃⫛(⪩⨒∯212302⩒⫫⪩⨒∯1100332))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2520,"operation_count":14,"complexity_ratio":180.0,"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":2420,"base":4},"right_expr":{"type":"numeric_atoms","value":2907,"base":4}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":1314,"base":4}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1529,"base":4}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1668,"base":4}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3861,"base":4},"right_expr":{"type":"numeric_atoms","value":1284,"base":4}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":5603,"base":4},"right_expr":{"type":"numeric_atoms","value":2710,"base":4}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":2482,"base":4},"right_expr":{"type":"numeric_atoms","value":5182,"base":4}}}}},"used_operators":["y4ImoPnbV5","Ez1Nq5fNfI","4JB6nKBMSY","oraRL2iQuh","UqFzSgLMvQ","8w2t5hMYqp","uFPyJr306J","HrjLwUk87U","P3lXMJvFrc","PxiHyQbrIp","GjBEYRfMaF","1aApVXNlOP","RqrPlJkxDo","KFSx94NKJn"],"dependent_operators":["NTOWxs364D","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","sdazOOVcIp","NTOWxs364D","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2420","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=2420, right_input=2907, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=1314","layer":4},{"info":"compute unary expreesion, input=1314, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-2917, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-5578","layer":2},{"info":"number node, value=1529","layer":4},{"info":"compute unary expreesion, input=1529, 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 unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5578, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1668","layer":4},{"info":"compute unary expreesion, input=1668, 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=3861","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=3861, right_input=1284, 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=160, right_input=450, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=160","layer":2},{"info":"number node, value=5603","layer":4},{"info":"number node, value=2710","layer":4},{"info":"compute binary expreesion, left_input=5603, right_input=2710, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2482","layer":4},{"info":"number node, value=5182","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=5182, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2180","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2180, 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=160, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯211310⪡⪩⨒∯231123)⇴(⪩⨒∯110202⇡))⪬(⊄⩳↩(∜⨇⪩⨒∯113321))∽((⊁⨺⪩⨒∯122010)⫲≸⪮(⪩⨒∯330111⪔⪩⨒∯110010))⪚(⪩⨒∯1113203↞⋁⪩⨒∯222112⩇∃⫛(⪩⨒∯212302⩒⫫⪩⨒∯1100332))=NaN","reverse_text":"NaN=((⪩⨒∯211310⪡⪩⨒∯231123)⇴(⪩⨒∯110202⇡))⪬(⊄⩳↩(∜⨇⪩⨒∯113321))∽((⊁⨺⪩⨒∯122010)⫲≸⪮(⪩⨒∯330111⪔⪩⨒∯110010))⪚(⪩⨒∯1113203↞⋁⪩⨒∯222112⩇∃⫛(⪩⨒∯212302⩒⫫⪩⨒∯1100332))","cot":[{"info":"⪩⨒∯211310⪡⪩⨒∯231123=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯110202⇡=⪩⨒∯-231211","layer":3},{"info":"⪩⨒∯1223⇴⪩⨒∯-231211=⪩⨒∯-1113022","layer":2},{"info":"∜⨇⪩⨒∯113321=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"⪩⨒∯-1113022⪬NaN=⪩⨒∯103102","layer":1},{"info":"⊁⨺⪩⨒∯122010=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯330111⪔⪩⨒∯110010=⪩⨒∯13002","layer":3},{"info":"⪩⨒∯2200⫲≸⪮⪩⨒∯13002=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1113203↞⋁⪩⨒∯222112=NaN","layer":3},{"info":"⪩⨒∯212302⩒⫫⪩⨒∯1100332=⪩⨒∯202010","layer":3},{"info":"NaN⩇∃⫛⪩⨒∯202010=NaN","layer":2},{"info":"⪩⨒∯2200⪚NaN=NaN","layer":1},{"info":"⪩⨒∯103102∽NaN=NaN","layer":0}]}
{"id":306,"expression_no_base_symbol":"((↑$4380$)∑⇟⊟$1511$↞⋁$4712$)≎⪠($3634$⩼⇪↪$6570$∠⫱$4032$⫰⋱$4432$)⫔⩽⩺($2733$⩖⊿$7365$⇔⨋)⩼⇪↪($7413$⇄$6888$↱$7370$⪔⊥$3269$)","expression":"((↑⪩⨒∯1010130)∑⇟⊟⪩⨒∯113213↞⋁⪩⨒∯1021220)≎⪠(⪩⨒∯320302⩼⇪↪⪩⨒∯1212222∠⫱⪩⨒∯333000⫰⋱⪩⨒∯1011100)⫔⩽⩺(⪩⨒∯222231⩖⊿⪩⨒∯1303011⇔⨋)⩼⇪↪(⪩⨒∯1303311⇄⪩⨒∯1223220↱⪩⨒∯1303022⪔⊥⪩⨒∯303011)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19514,"operation_count":14,"complexity_ratio":1393.857142857143,"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":4380,"base":4}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1511,"base":4},"right_expr":{"type":"numeric_atoms","value":4712,"base":4}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":3634,"base":4},"right_expr":{"type":"numeric_atoms","value":6570,"base":4}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":4032,"base":4},"right_expr":{"type":"numeric_atoms","value":4432,"base":4}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2733,"base":4},"right_expr":{"type":"numeric_atoms","value":7365,"base":4}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":7413,"base":4},"right_expr":{"type":"numeric_atoms","value":6888,"base":4}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":7370,"base":4},"right_expr":{"type":"numeric_atoms","value":3269,"base":4}}}}},"used_operators":["i9eR4S00cU","aNhz54LH3e","U7g4x0WXJJ","tR7O2zTn5j","RqrPlJkxDo","QvoQhV0rrE","ocnLzx9CaJ","6o9Blt3TJ6","uBihLCJcMX","RZ5CV9rWsJ","SR5kFfdi6N","3EYGwJThht","HJ9erzHUuu"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4380","layer":4},{"info":"compute unary expreesion, input=4380, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"number node, value=1511","layer":4},{"info":"number node, value=4712","layer":4},{"info":"compute binary expreesion, left_input=1511, right_input=4712, 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=192, 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=3634","layer":4},{"info":"number node, value=6570","layer":4},{"info":"compute binary expreesion, left_input=3634, right_input=6570, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-39505","layer":3},{"info":"number node, value=4032","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=4032, right_input=4432, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3999","layer":3},{"info":"compute binary expreesion, left_input=-39505, right_input=-3999, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-35506","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-35506, 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=2733","layer":4},{"info":"number node, value=7365","layer":4},{"info":"compute binary expreesion, left_input=2733, right_input=7365, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=47906","layer":3},{"info":"compute unary expreesion, input=47906, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=286366","layer":2},{"info":"number node, value=7413","layer":4},{"info":"number node, value=6888","layer":4},{"info":"compute binary expreesion, left_input=7413, right_input=6888, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=7370","layer":4},{"info":"number node, value=3269","layer":4},{"info":"compute binary expreesion, left_input=7370, right_input=3269, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=22743","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=22743, 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=-67707","layer":2},{"info":"compute binary expreesion, left_input=286366, right_input=-67707, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=1045898","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=1045898, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((↑⪩⨒∯1010130)∑⇟⊟⪩⨒∯113213↞⋁⪩⨒∯1021220)≎⪠(⪩⨒∯320302⩼⇪↪⪩⨒∯1212222∠⫱⪩⨒∯333000⫰⋱⪩⨒∯1011100)⫔⩽⩺(⪩⨒∯222231⩖⊿⪩⨒∯1303011⇔⨋)⩼⇪↪(⪩⨒∯1303311⇄⪩⨒∯1223220↱⪩⨒∯1303022⪔⊥⪩⨒∯303011)=NaN","reverse_text":"NaN=((↑⪩⨒∯1010130)∑⇟⊟⪩⨒∯113213↞⋁⪩⨒∯1021220)≎⪠(⪩⨒∯320302⩼⇪↪⪩⨒∯1212222∠⫱⪩⨒∯333000⫰⋱⪩⨒∯1011100)⫔⩽⩺(⪩⨒∯222231⩖⊿⪩⨒∯1303011⇔⨋)⩼⇪↪(⪩⨒∯1303311⇄⪩⨒∯1223220↱⪩⨒∯1303022⪔⊥⪩⨒∯303011)","cot":[{"info":"↑⪩⨒∯1010130=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯113213↞⋁⪩⨒∯1021220=NaN","layer":3},{"info":"⪩⨒∯3000∑⇟⊟NaN=NaN","layer":2},{"info":"⪩⨒∯320302⩼⇪↪⪩⨒∯1212222=⪩⨒∯-21221101","layer":3},{"info":"⪩⨒∯333000⫰⋱⪩⨒∯1011100=⪩⨒∯-332133","layer":3},{"info":"⪩⨒∯-21221101∠⫱⪩⨒∯-332133=⪩⨒∯-20222302","layer":2},{"info":"NaN≎⪠⪩⨒∯-20222302=⪩⨒∯10301212","layer":1},{"info":"⪩⨒∯222231⩖⊿⪩⨒∯1303011=⪩⨒∯23230202","layer":3},{"info":"⪩⨒∯23230202⇔⨋=⪩⨒∯1011322132","layer":2},{"info":"⪩⨒∯1303311⇄⪩⨒∯1223220=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1303022⪔⊥⪩⨒∯303011=⪩⨒∯11203113","layer":3},{"info":"⪩⨒∯0↱⪩⨒∯11203113=⪩⨒∯-100201323","layer":2},{"info":"⪩⨒∯1011322132⩼⇪↪⪩⨒∯-100201323=⪩⨒∯3333112022","layer":1},{"info":"⪩⨒∯10301212⫔⩽⩺⪩⨒∯3333112022=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"⨝⨆((($3160$∽$3569$)≭($3526$⪨⊡$5105$))⊎←↗)","expression":"⨝⨆(((⪩⨒∯301120∽⪩⨒∯313301)≭(⪩⨒∯313012⪨⊡⪩⨒∯1033301))⊎←↗)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":36,"operation_count":5,"complexity_ratio":7.2,"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":3160,"base":4},"right_expr":{"type":"numeric_atoms","value":3569,"base":4}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3526,"base":4},"right_expr":{"type":"numeric_atoms","value":5105,"base":4}}}}},"used_operators":["bQ67fsrMVf","dwb5p0fa6d","rxpJgHHUmx","y4ImoPnbV5","kuIXHzHcAH"],"dependent_operators":["tifHPKVTfV","sdazOOVcIp","COABgblf1C","AHs5Up7iyr","NTOWxs364D","QMFrweE19q","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP"],"result":"⪩⨒∯20020","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3160","layer":4},{"info":"number node, value=3569","layer":4},{"info":"compute binary expreesion, left_input=3160, right_input=3569, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-26329","layer":3},{"info":"number node, value=3526","layer":4},{"info":"number node, value=5105","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=5105, 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=-26329, 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 unary expreesion, input=-22, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=729","layer":1},{"info":"compute unary expreesion, input=729, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=520","layer":0}],"base":4,"result_base":4,"text":"⨝⨆(((⪩⨒∯301120∽⪩⨒∯313301)≭(⪩⨒∯313012⪨⊡⪩⨒∯1033301))⊎←↗)=⪩⨒∯20020","reverse_text":"⪩⨒∯20020=⨝⨆(((⪩⨒∯301120∽⪩⨒∯313301)≭(⪩⨒∯313012⪨⊡⪩⨒∯1033301))⊎←↗)","cot":[{"info":"⪩⨒∯301120∽⪩⨒∯313301=⪩⨒∯-12123121","layer":3},{"info":"⪩⨒∯313012⪨⊡⪩⨒∯1033301=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-12123121≭⪩⨒∯0=⪩⨒∯-112","layer":2},{"info":"⪩⨒∯-112⊎←↗=⪩⨒∯23121","layer":1},{"info":"⨝⨆⪩⨒∯23121=⪩⨒∯20020","layer":0}]}
{"id":308,"expression_no_base_symbol":"(($3482$⋅⇍$1109$)≨$2436$⪝$1060$⋘⨑⨽)⩹(⪡⇡≛$1028$)∝($1063$∖$2543$)↸(($2577$⊦⊿)⨑≵⋬($3721$⊭↱$2040$))","expression":"((⪩⨒∯312122⋅⇍⪩⨒∯101111)≨⪩⨒∯212010⪝⪩⨒∯100210⋘⨑⨽)⩹(⪡⇡≛⪩⨒∯100010)∝(⪩⨒∯100213∖⪩⨒∯213233)↸((⪩⨒∯220101⊦⊿)⨑≵⋬(⪩⨒∯322021⊭↱⪩⨒∯133320))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2787,"operation_count":12,"complexity_ratio":232.25,"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":3482,"base":4},"right_expr":{"type":"numeric_atoms","value":1109,"base":4}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":2436,"base":4},"right_expr":{"type":"numeric_atoms","value":1060,"base":4}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":1028,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1063,"base":4},"right_expr":{"type":"numeric_atoms","value":2543,"base":4}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2577,"base":4}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3721,"base":4},"right_expr":{"type":"numeric_atoms","value":2040,"base":4}}}}},"used_operators":["2Wsdkap16l","WmT3o8z6ya","0KMCeP1Jsh","AdZkA7nFnk","wicAB68Tmb","1eCjFl0mb9","cTDWOvIxvz","qL4PrbW1Dq","tXD093vOjl","XnXgA4xnOs","14qkJME0vr","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","7j4O788W3g","W4YGzv6Whe","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯-100001","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3482","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=3482, right_input=1109, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=2436","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=1060, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-5903","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=-5903, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=842","layer":2},{"info":"compute unary expreesion, input=842, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=4993","layer":1},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1028","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2543","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2543, 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=-1028, right_input=0, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-1023","layer":2},{"info":"number node, value=2577","layer":4},{"info":"compute unary expreesion, input=2577, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7810","layer":3},{"info":"number node, value=3721","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=2040, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3357","layer":3},{"info":"compute binary expreesion, left_input=-7810, right_input=-3357, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-6426","layer":2},{"info":"compute binary expreesion, left_input=-1023, right_input=-6426, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-1023","layer":1},{"info":"compute binary expreesion, left_input=4993, right_input=-1023, 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=-1025","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯312122⋅⇍⪩⨒∯101111)≨⪩⨒∯212010⪝⪩⨒∯100210⋘⨑⨽)⩹(⪡⇡≛⪩⨒∯100010)∝(⪩⨒∯100213∖⪩⨒∯213233)↸((⪩⨒∯220101⊦⊿)⨑≵⋬(⪩⨒∯322021⊭↱⪩⨒∯133320))=⪩⨒∯-100001","reverse_text":"⪩⨒∯-100001=((⪩⨒∯312122⋅⇍⪩⨒∯101111)≨⪩⨒∯212010⪝⪩⨒∯100210⋘⨑⨽)⩹(⪡⇡≛⪩⨒∯100010)∝(⪩⨒∯100213∖⪩⨒∯213233)↸((⪩⨒∯220101⊦⊿)⨑≵⋬(⪩⨒∯322021⊭↱⪩⨒∯133320))","cot":[{"info":"⪩⨒∯312122⋅⇍⪩⨒∯101111=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯212010⪝⪩⨒∯100210=⪩⨒∯-1130033","layer":3},{"info":"⪩⨒∯-112≨⪩⨒∯-1130033=⪩⨒∯31022","layer":2},{"info":"⪩⨒∯31022⋘⨑⨽=⪩⨒∯1032001","layer":1},{"info":"⪡⇡≛⪩⨒∯100010=⪩⨒∯-100010","layer":3},{"info":"⪩⨒∯100213∖⪩⨒∯213233=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-100010∝⪩⨒∯0=⪩⨒∯-33333","layer":2},{"info":"⪩⨒∯220101⊦⊿=⪩⨒∯-1322002","layer":3},{"info":"⪩⨒∯322021⊭↱⪩⨒∯133320=⪩⨒∯-310131","layer":3},{"info":"⪩⨒∯-1322002⨑≵⋬⪩⨒∯-310131=⪩⨒∯-1210122","layer":2},{"info":"⪩⨒∯-33333↸⪩⨒∯-1210122=⪩⨒∯-33333","layer":1},{"info":"⪩⨒∯1032001⩹⪩⨒∯-33333=⪩⨒∯-100001","layer":0}]}
{"id":309,"expression_no_base_symbol":"$2652$≎⪠$2991$⨓(⨩∲⋌$4879$)⇴∐((⇾⩊⇾$4390$)⇪⋭)⋭≵(↯⪼(∟⋨($8844$⨽⪊≇)))","expression":"⪩⨒∯221130≎⪠⪩⨒∯232233⨓(⨩∲⋌⪩⨒∯1030033)⇴∐((⇾⩊⇾⪩⨒∯1010212)⇪⋭)⋭≵(↯⪼(∟⋨(⪩⨒∯2022030⨽⪊≇)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":41811,"operation_count":10,"complexity_ratio":4181.1,"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":2652,"base":4},"right_expr":{"type":"numeric_atoms","value":2991,"base":4}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":4879,"base":4}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":4390,"base":4}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"numeric_atoms","value":8844,"base":4}}}}},"used_operators":["jBncVCNhdl","HnzytWxmAO","3ViojmjbAp","aNhz54LH3e","aSik1wnThz","Z8Yg6dlDSp","bx9Z9DAK5y","8jW3W4yZS5","ctOc4cKSDt","nlCqmYiOvY"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","eLAdDNolq6","tmPS8pqC7x","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2652","layer":4},{"info":"number node, value=2991","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=2991, 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=4879","layer":4},{"info":"compute unary expreesion, input=4879, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-5402","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-5402, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=5399","layer":2},{"info":"number node, value=4390","layer":4},{"info":"compute unary expreesion, input=4390, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-45996","layer":3},{"info":"compute unary expreesion, input=-45996, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5399, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=8844","layer":4},{"info":"compute unary expreesion, input=8844, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=17162","layer":3},{"info":"compute unary expreesion, input=17162, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-16678","layer":2},{"info":"compute unary expreesion, input=-16678, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=32439","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=32439, 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":4,"result_base":4,"text":"⪩⨒∯221130≎⪠⪩⨒∯232233⨓(⨩∲⋌⪩⨒∯1030033)⇴∐((⇾⩊⇾⪩⨒∯1010212)⇪⋭)⋭≵(↯⪼(∟⋨(⪩⨒∯2022030⨽⪊≇)))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=⪩⨒∯221130≎⪠⪩⨒∯232233⨓(⨩∲⋌⪩⨒∯1030033)⇴∐((⇾⩊⇾⪩⨒∯1010212)⇪⋭)⋭≵(↯⪼(∟⋨(⪩⨒∯2022030⨽⪊≇)))","cot":[{"info":"⪩⨒∯221130≎⪠⪩⨒∯232233=⪩⨒∯10301212","layer":3},{"info":"⨩∲⋌⪩⨒∯1030033=⪩⨒∯-1110122","layer":3},{"info":"⪩⨒∯10301212⨓⪩⨒∯-1110122=⪩⨒∯1110113","layer":2},{"info":"⇾⩊⇾⪩⨒∯1010212=⪩⨒∯-23032230","layer":3},{"info":"⪩⨒∯-23032230⇪⋭=NaN","layer":2},{"info":"⪩⨒∯1110113⇴∐NaN=NaN","layer":1},{"info":"⪩⨒∯2022030⨽⪊≇=⪩⨒∯10030022","layer":3},{"info":"∟⋨⪩⨒∯10030022=⪩⨒∯-10010212","layer":2},{"info":"↯⪼⪩⨒∯-10010212=⪩⨒∯13322313","layer":1},{"info":"NaN⋭≵⪩⨒∯13322313=⪩⨒∯1003","layer":0}]}
{"id":310,"expression_no_base_symbol":"((∨∊⋏($2340$∇⊂⋱$2469$))≧⫂∧($4320$⩼⇪↪$5587$↸$1010$⨑⩅≇$1058$))∀⊥⇻","expression":"((∨∊⋏(⪩⨒∯210210∇⊂⋱⪩⨒∯212211))≧⫂∧(⪩⨒∯1003200⩼⇪↪⪩⨒∯1113103↸⪩⨒∯33302⨑⩅≇⪩⨒∯100202))∀⊥⇻","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4272,"operation_count":7,"complexity_ratio":610.2857142857143,"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":2340,"base":4},"right_expr":{"type":"numeric_atoms","value":2469,"base":4}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4320,"base":4},"right_expr":{"type":"numeric_atoms","value":5587,"base":4}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1010,"base":4},"right_expr":{"type":"numeric_atoms","value":1058,"base":4}}}}},"used_operators":["k4iM1060OG","Ph9nP6C5qx","R5aXW34M0v","nhYeJWJD5X","1eCjFl0mb9","ocnLzx9CaJ","h92wMvzauj"],"dependent_operators":["QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2340","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=2340, right_input=2469, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4134","layer":3},{"info":"compute unary expreesion, input=4134, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=86015","layer":2},{"info":"number node, value=4320","layer":4},{"info":"number node, value=5587","layer":4},{"info":"compute binary expreesion, left_input=4320, right_input=5587, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-31252","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=1058, 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=-3030","layer":3},{"info":"compute binary expreesion, left_input=-31252, right_input=-3030, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-31252","layer":2},{"info":"compute binary expreesion, left_input=86015, right_input=-31252, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=117267","layer":1},{"info":"compute unary expreesion, input=117267, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":0}],"base":4,"result_base":4,"text":"((∨∊⋏(⪩⨒∯210210∇⊂⋱⪩⨒∯212211))≧⫂∧(⪩⨒∯1003200⩼⇪↪⪩⨒∯1113103↸⪩⨒∯33302⨑⩅≇⪩⨒∯100202))∀⊥⇻=⪩⨒∯0","reverse_text":"⪩⨒∯0=((∨∊⋏(⪩⨒∯210210∇⊂⋱⪩⨒∯212211))≧⫂∧(⪩⨒∯1003200⩼⇪↪⪩⨒∯1113103↸⪩⨒∯33302⨑⩅≇⪩⨒∯100202))∀⊥⇻","cot":[{"info":"⪩⨒∯210210∇⊂⋱⪩⨒∯212211=⪩⨒∯1000212","layer":3},{"info":"∨∊⋏⪩⨒∯1000212=⪩⨒∯110333333","layer":2},{"info":"⪩⨒∯1003200⩼⇪↪⪩⨒∯1113103=⪩⨒∯-13220110","layer":3},{"info":"⪩⨒∯33302⨑⩅≇⪩⨒∯100202=⪩⨒∯-233112","layer":3},{"info":"⪩⨒∯-13220110↸⪩⨒∯-233112=⪩⨒∯-13220110","layer":2},{"info":"⪩⨒∯110333333≧⫂∧⪩⨒∯-13220110=⪩⨒∯130220103","layer":1},{"info":"⪩⨒∯130220103∀⊥⇻=⪩⨒∯0","layer":0}]}
{"id":311,"expression_no_base_symbol":"(($5240$⩭)⨐⩸⫘($1581$⫡⨏$1033$)⫡⨏($2506$⊋≦⊧$6376$)⩁⩘($2481$⇮⋭$1318$))⨐⩸⫘(⩷⨜⫀(($1363$↪⪝)⩘⨬⇊))","expression":"((⪩⨒∯1101320⩭)⨐⩸⫘(⪩⨒∯120231⫡⨏⪩⨒∯100021)⫡⨏(⪩⨒∯213022⊋≦⊧⪩⨒∯1203220)⩁⩘(⪩⨒∯212301⇮⋭⪩⨒∯110212))⨐⩸⫘(⩷⨜⫀((⪩⨒∯111103↪⪝)⩘⨬⇊))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3828705,"operation_count":11,"complexity_ratio":348064.0909090909,"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":5240,"base":4}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1581,"base":4},"right_expr":{"type":"numeric_atoms","value":1033,"base":4}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2506,"base":4},"right_expr":{"type":"numeric_atoms","value":6376,"base":4}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2481,"base":4},"right_expr":{"type":"numeric_atoms","value":1318,"base":4}}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1363,"base":4}}}}},"used_operators":["fu6greOZ01","QMFrweE19q","yIPP7u6H5x","gub5Cegaqo","oRDoc9rAEX","vkpjKywKVM","CDi0ktkjQ4","XXmTpEpWTW","l07mrZUIn9"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","DpFCA1CohY","IWmyXbctLI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","ruOEQAzv1W","nhYeJWJD5X","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","9HNa5Wba9A","2DDjHMKMc0"],"result":"⪩⨒∯-2003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5240","layer":4},{"info":"compute unary expreesion, input=5240, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=1581","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=1033, 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=10754","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10754, 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=2506","layer":4},{"info":"number node, value=6376","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=6376, 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=-8642","layer":3},{"info":"number node, value=2481","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=2481, right_input=1318, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=-8642, right_input=-473, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-944","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-944, 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=1363","layer":4},{"info":"compute unary expreesion, input=1363, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=83391066","layer":3},{"info":"compute unary expreesion, input=83391066, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-134","layer":1},{"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=-131","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1101320⩭)⨐⩸⫘(⪩⨒∯120231⫡⨏⪩⨒∯100021)⫡⨏(⪩⨒∯213022⊋≦⊧⪩⨒∯1203220)⩁⩘(⪩⨒∯212301⇮⋭⪩⨒∯110212))⨐⩸⫘(⩷⨜⫀((⪩⨒∯111103↪⪝)⩘⨬⇊))=⪩⨒∯-2003","reverse_text":"⪩⨒∯-2003=((⪩⨒∯1101320⩭)⨐⩸⫘(⪩⨒∯120231⫡⨏⪩⨒∯100021)⫡⨏(⪩⨒∯213022⊋≦⊧⪩⨒∯1203220)⩁⩘(⪩⨒∯212301⇮⋭⪩⨒∯110212))⨐⩸⫘(⩷⨜⫀((⪩⨒∯111103↪⪝)⩘⨬⇊))","cot":[{"info":"⪩⨒∯1101320⩭=NaN","layer":3},{"info":"⪩⨒∯120231⫡⨏⪩⨒∯100021=⪩⨒∯2220002","layer":3},{"info":"NaN⨐⩸⫘⪩⨒∯2220002=NaN","layer":2},{"info":"⪩⨒∯213022⊋≦⊧⪩⨒∯1203220=⪩⨒∯-2013002","layer":3},{"info":"⪩⨒∯212301⇮⋭⪩⨒∯110212=⪩⨒∯-13121","layer":3},{"info":"⪩⨒∯-2013002⩁⩘⪩⨒∯-13121=⪩⨒∯-32300","layer":2},{"info":"NaN⫡⨏⪩⨒∯-32300=NaN","layer":1},{"info":"⪩⨒∯111103↪⪝=⪩⨒∯10332013021122","layer":3},{"info":"⪩⨒∯10332013021122⩘⨬⇊=NaN","layer":2},{"info":"⩷⨜⫀NaN=⪩⨒∯-2012","layer":1},{"info":"NaN⨐⩸⫘⪩⨒∯-2012=⪩⨒∯-2003","layer":0}]}
{"id":312,"expression_no_base_symbol":"↩⪖(($1051$⋻⩜⩜$2202$)⩒⫫($2153$⫸⊐$1047$)⫥∨⫟($8863$⪡$2036$)⪬($2923$⨑⩅≇$4125$))","expression":"↩⪖((⪩⨒∯100123⋻⩜⩜⪩⨒∯202122)⩒⫫(⪩⨒∯201221⫸⊐⪩⨒∯100113)⫥∨⫟(⪩⨒∯2022133⪡⪩⨒∯133310)⪬(⪩⨒∯231223⨑⩅≇⪩⨒∯1000131))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":35815,"operation_count":8,"complexity_ratio":4476.875,"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":1051,"base":4},"right_expr":{"type":"numeric_atoms","value":2202,"base":4}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2153,"base":4},"right_expr":{"type":"numeric_atoms","value":1047,"base":4}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":8863,"base":4},"right_expr":{"type":"numeric_atoms","value":2036,"base":4}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2923,"base":4},"right_expr":{"type":"numeric_atoms","value":4125,"base":4}}}}},"used_operators":["fG6uBQFnGz","KYD54nUTWz","KFSx94NKJn","oDCm7WA9JY","mqXw5SEYmG","Ez1Nq5fNfI","oraRL2iQuh","h92wMvzauj"],"dependent_operators":["rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"number node, value=2202","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=2202, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2102","layer":3},{"info":"number node, value=2153","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=1047, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4063","layer":3},{"info":"compute binary expreesion, left_input=2102, right_input=4063, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1800","layer":2},{"info":"number node, value=8863","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=8863, right_input=2036, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=2923","layer":4},{"info":"number node, value=4125","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=4125, 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=-8769","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=-8769, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=1800, right_input=1234, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":4,"result_base":4,"text":"↩⪖((⪩⨒∯100123⋻⩜⩜⪩⨒∯202122)⩒⫫(⪩⨒∯201221⫸⊐⪩⨒∯100113)⫥∨⫟(⪩⨒∯2022133⪡⪩⨒∯133310)⪬(⪩⨒∯231223⨑⩅≇⪩⨒∯1000131))=NaN","reverse_text":"NaN=↩⪖((⪩⨒∯100123⋻⩜⩜⪩⨒∯202122)⩒⫫(⪩⨒∯201221⫸⊐⪩⨒∯100113)⫥∨⫟(⪩⨒∯2022133⪡⪩⨒∯133310)⪬(⪩⨒∯231223⨑⩅≇⪩⨒∯1000131))","cot":[{"info":"⪩⨒∯100123⋻⩜⩜⪩⨒∯202122=⪩⨒∯200312","layer":3},{"info":"⪩⨒∯201221⫸⊐⪩⨒∯100113=⪩⨒∯333133","layer":3},{"info":"⪩⨒∯200312⩒⫫⪩⨒∯333133=⪩⨒∯130020","layer":2},{"info":"⪩⨒∯2022133⪡⪩⨒∯133310=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯231223⨑⩅≇⪩⨒∯1000131=⪩⨒∯-2021001","layer":3},{"info":"⪩⨒∯1223⪬⪩⨒∯-2021001=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯130020⫥∨⫟⪩⨒∯103102=NaN","layer":1},{"info":"↩⪖NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"≸≮($6123$⨫⇇↔$3249$⩷∴$1789$≁↽≥$7440$⨵⪆($1767$⋥≓≎$2066$)⩒⫫(⊀$3101$))","expression":"≸≮(⪩⨒∯1133223⨫⇇↔⪩⨒∯302301⩷∴⪩⨒∯123331≁↽≥⪩⨒∯1310100⨵⪆(⪩⨒∯123213⋥≓≎⪩⨒∯200102)⩒⫫(⊀⪩⨒∯300131))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":109,"operation_count":8,"complexity_ratio":13.625,"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":6123,"base":4},"right_expr":{"type":"numeric_atoms","value":3249,"base":4}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1789,"base":4},"right_expr":{"type":"numeric_atoms","value":7440,"base":4}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1767,"base":4},"right_expr":{"type":"numeric_atoms","value":2066,"base":4}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3101,"base":4}}}}},"used_operators":["AljMvE3RRm","2DQ55sFlQl","9FxExcQeMw","LXhwmt4mBO","ncHt1X6cMc","KFSx94NKJn","Qy55tPpLXF","oPMjh9089D"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⪩⨒∯11322","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6123","layer":4},{"info":"number node, value=3249","layer":4},{"info":"compute binary expreesion, left_input=6123, right_input=3249, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1789","layer":4},{"info":"number node, value=7440","layer":4},{"info":"compute binary expreesion, left_input=1789, right_input=7440, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=36767","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=36767, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-74620","layer":2},{"info":"number node, value=1767","layer":4},{"info":"number node, value=2066","layer":4},{"info":"compute binary expreesion, left_input=1767, right_input=2066, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2398","layer":3},{"info":"number node, value=3101","layer":4},{"info":"compute unary expreesion, input=3101, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=12142","layer":3},{"info":"compute binary expreesion, left_input=2398, right_input=12142, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=2096","layer":2},{"info":"compute binary expreesion, left_input=-74620, right_input=2096, 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 = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=378","layer":0}],"base":4,"result_base":4,"text":"≸≮(⪩⨒∯1133223⨫⇇↔⪩⨒∯302301⩷∴⪩⨒∯123331≁↽≥⪩⨒∯1310100⨵⪆(⪩⨒∯123213⋥≓≎⪩⨒∯200102)⩒⫫(⊀⪩⨒∯300131))=⪩⨒∯11322","reverse_text":"⪩⨒∯11322=≸≮(⪩⨒∯1133223⨫⇇↔⪩⨒∯302301⩷∴⪩⨒∯123331≁↽≥⪩⨒∯1310100⨵⪆(⪩⨒∯123213⋥≓≎⪩⨒∯200102)⩒⫫(⊀⪩⨒∯300131))","cot":[{"info":"⪩⨒∯1133223⨫⇇↔⪩⨒∯302301=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯123331≁↽≥⪩⨒∯1310100=⪩⨒∯20332133","layer":3},{"info":"⪩⨒∯-20033⩷∴⪩⨒∯20332133=⪩⨒∯-102031330","layer":2},{"info":"⪩⨒∯123213⋥≓≎⪩⨒∯200102=⪩⨒∯211132","layer":3},{"info":"⊀⪩⨒∯300131=⪩⨒∯2331232","layer":3},{"info":"⪩⨒∯211132⩒⫫⪩⨒∯2331232=⪩⨒∯200300","layer":2},{"info":"⪩⨒∯-102031330⨵⪆⪩⨒∯200300=⪩⨒∯2200","layer":1},{"info":"≸≮⪩⨒∯2200=⪩⨒∯11322","layer":0}]}
{"id":314,"expression_no_base_symbol":"⨰⫟⨤(↔($8543$⊾⪯⋞$1474$))⇷($1102$∊∟⩊$2456$)⫁($2230$≥⨤⩑$5309$)","expression":"⨰⫟⨤(↔(⪩⨒∯2011133⊾⪯⋞⪩⨒∯113002))⇷(⪩⨒∯101032∊∟⩊⪩⨒∯212120)⫁(⪩⨒∯202312≥⨤⩑⪩⨒∯1102331)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":32554,"operation_count":7,"complexity_ratio":4650.571428571428,"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":8543,"base":4},"right_expr":{"type":"numeric_atoms","value":1474,"base":4}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1102,"base":4},"right_expr":{"type":"numeric_atoms","value":2456,"base":4}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2230,"base":4},"right_expr":{"type":"numeric_atoms","value":5309,"base":4}}}}},"used_operators":["Tw270M8GLb","mp7IySMOzn","ruOEQAzv1W","HK0tfVPux8","0ajvFaJAv0","ddLRYrp01A","gJLn6v0xnP"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","cHh1gJQ2o6","AHs5Up7iyr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8543","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=8543, right_input=1474, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=2522","layer":3},{"info":"compute unary expreesion, input=2522, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2249","layer":2},{"info":"number node, value=1102","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=2456, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2456","layer":3},{"info":"number node, value=2230","layer":4},{"info":"number node, value=5309","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=5309, 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=2456, right_input=1234, 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=-2249, right_input=160, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=320","layer":1},{"info":"compute unary expreesion, input=320, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⨰⫟⨤(↔(⪩⨒∯2011133⊾⪯⋞⪩⨒∯113002))⇷(⪩⨒∯101032∊∟⩊⪩⨒∯212120)⫁(⪩⨒∯202312≥⨤⩑⪩⨒∯1102331)=NaN","reverse_text":"NaN=⨰⫟⨤(↔(⪩⨒∯2011133⊾⪯⋞⪩⨒∯113002))⇷(⪩⨒∯101032∊∟⩊⪩⨒∯212120)⫁(⪩⨒∯202312≥⨤⩑⪩⨒∯1102331)","cot":[{"info":"⪩⨒∯2011133⊾⪯⋞⪩⨒∯113002=⪩⨒∯213122","layer":3},{"info":"↔⪩⨒∯213122=⪩⨒∯-203021","layer":2},{"info":"⪩⨒∯101032∊∟⩊⪩⨒∯212120=⪩⨒∯212120","layer":3},{"info":"⪩⨒∯202312≥⨤⩑⪩⨒∯1102331=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯212120⫁⪩⨒∯103102=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯-203021⇷⪩⨒∯2200=⪩⨒∯11000","layer":1},{"info":"⨰⫟⨤⪩⨒∯11000=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"⨑⩽⪐($3769$⇻⋧≁$2039$↸$1833$⊢$7205$)≌($1385$⋥⋵⩄$3073$∪⫐$2266$⋾⨃∁$3381$)","expression":"⨑⩽⪐(⪩⨒∯322321⇻⋧≁⪩⨒∯133313↸⪩⨒∯130221⊢⪩⨒∯1300211)≌(⪩⨒∯111221⋥⋵⩄⪩⨒∯300001∪⫐⪩⨒∯203122⋾⨃∁⪩⨒∯310311)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21403,"operation_count":8,"complexity_ratio":2675.375,"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":3769,"base":4},"right_expr":{"type":"numeric_atoms","value":2039,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1833,"base":4},"right_expr":{"type":"numeric_atoms","value":7205,"base":4}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1385,"base":4},"right_expr":{"type":"numeric_atoms","value":3073,"base":4}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2266,"base":4},"right_expr":{"type":"numeric_atoms","value":3381,"base":4}}}}},"used_operators":["AF7qkfDlqP","lyWz822IDG","1eCjFl0mb9","jCPkEVoL5K","5twsqlHp2o","7YooWSwCyH","7t3wd0Fuz7","212REbPD9h"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rJVOvQCfKK","2DDjHMKMc0","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⪩⨒∯-2100313","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3769","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=2039, 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=1833","layer":4},{"info":"number node, value=7205","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=7205, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3910","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-3910, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-447","layer":2},{"info":"number node, value=1385","layer":4},{"info":"number node, value=3073","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=3073, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2266","layer":4},{"info":"number node, value=3381","layer":4},{"info":"compute binary expreesion, left_input=2266, right_input=3381, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=114270944","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=114270944, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=113","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=113, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=9544","layer":1},{"info":"compute unary expreesion, input=9544, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-9271","layer":0}],"base":4,"result_base":4,"text":"⨑⩽⪐(⪩⨒∯322321⇻⋧≁⪩⨒∯133313↸⪩⨒∯130221⊢⪩⨒∯1300211)≌(⪩⨒∯111221⋥⋵⩄⪩⨒∯300001∪⫐⪩⨒∯203122⋾⨃∁⪩⨒∯310311)=⪩⨒∯-2100313","reverse_text":"⪩⨒∯-2100313=⨑⩽⪐(⪩⨒∯322321⇻⋧≁⪩⨒∯133313↸⪩⨒∯130221⊢⪩⨒∯1300211)≌(⪩⨒∯111221⋥⋵⩄⪩⨒∯300001∪⫐⪩⨒∯203122⋾⨃∁⪩⨒∯310311)","cot":[{"info":"⪩⨒∯322321⇻⋧≁⪩⨒∯133313=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯130221⊢⪩⨒∯1300211=⪩⨒∯-331012","layer":3},{"info":"⪩⨒∯-12333↸⪩⨒∯-331012=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯111221⋥⋵⩄⪩⨒∯300001=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯203122⋾⨃∁⪩⨒∯310311=⪩⨒∯12303322023200","layer":3},{"info":"⪩⨒∯1301∪⫐⪩⨒∯12303322023200=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯-12333≌⪩⨒∯1301=⪩⨒∯2111020","layer":1},{"info":"⨑⩽⪐⪩⨒∯2111020=⪩⨒∯-2100313","layer":0}]}
{"id":316,"expression_no_base_symbol":"((⩷$4772$)↳≱(∤↝$1468$)≧⫂∧($2113$⋥≓≎$5699$)⪍↜⋙($6795$⩏))≁↽≥(($1689$⋹⋡⊁$7243$⊋≦⊧$2346$⨫⇇↔$1925$)∥⊢⊲(∤($1048$⫚↹⊑$3632$)))","expression":"((⩷⪩⨒∯1022210)↳≱(∤↝⪩⨒∯112330)≧⫂∧(⪩⨒∯201001⋥≓≎⪩⨒∯1121003)⪍↜⋙(⪩⨒∯1222023⩏))≁↽≥((⪩⨒∯122121⋹⋡⊁⪩⨒∯1301023⊋≦⊧⪩⨒∯210222⨫⇇↔⪩⨒∯132011)∥⊢⊲(∤(⪩⨒∯100120⫚↹⊑⪩⨒∯320300)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":63839,"operation_count":14,"complexity_ratio":4559.928571428572,"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":4772,"base":4}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1468,"base":4}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2113,"base":4},"right_expr":{"type":"numeric_atoms","value":5699,"base":4}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":6795,"base":4}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1689,"base":4},"right_expr":{"type":"numeric_atoms","value":7243,"base":4}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2346,"base":4},"right_expr":{"type":"numeric_atoms","value":1925,"base":4}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1048,"base":4},"right_expr":{"type":"numeric_atoms","value":3632,"base":4}}}}},"used_operators":["ncHt1X6cMc","Ph9nP6C5qx","JwTKLfZU96","1h0rLqGiFr","3UMq87Qwqg","L05ObWFQCd","Qy55tPpLXF","iA2gmKZ3Wj","v1UQAVDJRr","oRDoc9rAEX","As8RqfVLgs","LXhwmt4mBO","k2HlF1dBQh","dfKe02y8D2"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","z6LnFrNh4i","Tcnh7f0tEr","EBcxylXtPf","rGHVDoGpnC","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4772","layer":4},{"info":"compute unary expreesion, input=4772, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-57343","layer":3},{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, 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=1468","layer":3},{"info":"compute binary expreesion, left_input=-57343, right_input=1468, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=2113","layer":4},{"info":"number node, value=5699","layer":4},{"info":"compute binary expreesion, left_input=2113, right_input=5699, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9318","layer":3},{"info":"number node, value=6795","layer":4},{"info":"compute unary expreesion, input=6795, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9318, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=18636","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=18636, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=18163","layer":1},{"info":"number node, value=1689","layer":4},{"info":"number node, value=7243","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=7243, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=7993","layer":3},{"info":"number node, value=2346","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=1925, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=7993, right_input=-527, 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=1294","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=3632, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"compute binary expreesion, left_input=1294, right_input=9, 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=18163, right_input=0, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⩷⪩⨒∯1022210)↳≱(∤↝⪩⨒∯112330)≧⫂∧(⪩⨒∯201001⋥≓≎⪩⨒∯1121003)⪍↜⋙(⪩⨒∯1222023⩏))≁↽≥((⪩⨒∯122121⋹⋡⊁⪩⨒∯1301023⊋≦⊧⪩⨒∯210222⨫⇇↔⪩⨒∯132011)∥⊢⊲(∤(⪩⨒∯100120⫚↹⊑⪩⨒∯320300)))=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⩷⪩⨒∯1022210)↳≱(∤↝⪩⨒∯112330)≧⫂∧(⪩⨒∯201001⋥≓≎⪩⨒∯1121003)⪍↜⋙(⪩⨒∯1222023⩏))≁↽≥((⪩⨒∯122121⋹⋡⊁⪩⨒∯1301023⊋≦⊧⪩⨒∯210222⨫⇇↔⪩⨒∯132011)∥⊢⊲(∤(⪩⨒∯100120⫚↹⊑⪩⨒∯320300)))","cot":[{"info":"⩷⪩⨒∯1022210=⪩⨒∯-31333333","layer":3},{"info":"∤↝⪩⨒∯112330=⪩⨒∯112330","layer":3},{"info":"⪩⨒∯-31333333↳≱⪩⨒∯112330=⪩⨒∯0","layer":2},{"info":"⪩⨒∯201001⋥≓≎⪩⨒∯1121003=⪩⨒∯2101212","layer":3},{"info":"⪩⨒∯1222023⩏=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2101212⪍↜⋙⪩⨒∯0=⪩⨒∯10203030","layer":2},{"info":"⪩⨒∯0≧⫂∧⪩⨒∯10203030=⪩⨒∯10123303","layer":1},{"info":"⪩⨒∯122121⋹⋡⊁⪩⨒∯1301023=⪩⨒∯1330321","layer":3},{"info":"⪩⨒∯210222⨫⇇↔⪩⨒∯132011=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯1330321⊋≦⊧⪩⨒∯-20033=⪩⨒∯110032","layer":2},{"info":"⪩⨒∯100120⫚↹⊑⪩⨒∯320300=⪩⨒∯-12333","layer":3},{"info":"∤⪩⨒∯-12333=⪩⨒∯21","layer":2},{"info":"⪩⨒∯110032∥⊢⊲⪩⨒∯21=⪩⨒∯0","layer":1},{"info":"⪩⨒∯10123303≁↽≥⪩⨒∯0=⪩⨒∯0","layer":0}]}
{"id":317,"expression_no_base_symbol":"(⪭⩑⪱$1928$⨑⩅≇$1124$)⩇∃⫛(($5812$+$4361$)⪣⫩)⇮⋭($1395$∲⫓$2697$)⋣⋖($1532$⨑≵⋬$6641$)≳⇉((⫎≠⋺$4981$)⨴∎)","expression":"(⪭⩑⪱⪩⨒∯132020⨑⩅≇⪩⨒∯101210)⩇∃⫛((⪩⨒∯1122310+⪩⨒∯1010021)⪣⫩)⇮⋭(⪩⨒∯111303∲⫓⪩⨒∯222021)⋣⋖(⪩⨒∯113330⨑≵⋬⪩⨒∯1213301)≳⇉((⫎≠⋺⪩⨒∯1031311)⨴∎)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":24035,"operation_count":12,"complexity_ratio":2002.9166666666667,"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":1928,"base":4},"right_expr":{"type":"numeric_atoms","value":1124,"base":4}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5812,"base":4},"right_expr":{"type":"numeric_atoms","value":4361,"base":4}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1395,"base":4},"right_expr":{"type":"numeric_atoms","value":2697,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1532,"base":4},"right_expr":{"type":"numeric_atoms","value":6641,"base":4}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4981,"base":4}}}}},"used_operators":["vkpjKywKVM","1aApVXNlOP","SIgE0bArFf","h92wMvzauj","iuk5sVOGFA","W4YGzv6Whe","V0kx6qeWkN","J0M6qkBnIM","i8ToyICDmI","XnXgA4xnOs","CpSg5vQTgA","LYeZOJ0nQG"],"dependent_operators":["nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"⪩⨒∯-13121","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1928","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=1124, 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=-5784","layer":3},{"info":"compute unary expreesion, input=-5784, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"number node, value=5812","layer":4},{"info":"number node, value=4361","layer":4},{"info":"compute binary expreesion, left_input=5812, right_input=4361, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10173","layer":3},{"info":"compute unary expreesion, input=10173, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=30486","layer":2},{"info":"compute binary expreesion, left_input=8320752, right_input=30486, 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=-8289793","layer":1},{"info":"number node, value=1395","layer":4},{"info":"number node, value=2697","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=2697, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1532","layer":4},{"info":"number node, value=6641","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=6641, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-37448","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-37448, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=0","layer":2},{"info":"number node, value=4981","layer":4},{"info":"compute unary expreesion, input=4981, 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 = CpSg5vQTgA, unary_op_definition = 'a⨴∎ = { (⊥a) , if (a≓∲156)<=233 or (a⪗)>744 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-8289793, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":0}],"base":4,"result_base":4,"text":"(⪭⩑⪱⪩⨒∯132020⨑⩅≇⪩⨒∯101210)⩇∃⫛((⪩⨒∯1122310+⪩⨒∯1010021)⪣⫩)⇮⋭(⪩⨒∯111303∲⫓⪩⨒∯222021)⋣⋖(⪩⨒∯113330⨑≵⋬⪩⨒∯1213301)≳⇉((⫎≠⋺⪩⨒∯1031311)⨴∎)=⪩⨒∯-13121","reverse_text":"⪩⨒∯-13121=(⪭⩑⪱⪩⨒∯132020⨑⩅≇⪩⨒∯101210)⩇∃⫛((⪩⨒∯1122310+⪩⨒∯1010021)⪣⫩)⇮⋭(⪩⨒∯111303∲⫓⪩⨒∯222021)⋣⋖(⪩⨒∯113330⨑≵⋬⪩⨒∯1213301)≳⇉((⫎≠⋺⪩⨒∯1031311)⨴∎)","cot":[{"info":"⪩⨒∯132020⨑⩅≇⪩⨒∯101210=⪩⨒∯-1122120","layer":3},{"info":"⪭⩑⪱⪩⨒∯-1122120=⪩⨒∯133233123300","layer":2},{"info":"⪩⨒∯1122310+⪩⨒∯1010021=⪩⨒∯2132331","layer":3},{"info":"⪩⨒∯2132331⪣⫩=⪩⨒∯13130112","layer":2},{"info":"⪩⨒∯133233123300⩇∃⫛⪩⨒∯13130112=⪩⨒∯-133213320001","layer":1},{"info":"⪩⨒∯111303∲⫓⪩⨒∯222021=⪩⨒∯0","layer":3},{"info":"⪩⨒∯113330⨑≵⋬⪩⨒∯1213301=⪩⨒∯-21021020","layer":3},{"info":"⪩⨒∯0⋣⋖⪩⨒∯-21021020=⪩⨒∯0","layer":2},{"info":"⫎≠⋺⪩⨒∯1031311=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⨴∎=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0≳⇉⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-133213320001⇮⋭⪩⨒∯0=⪩⨒∯-13121","layer":0}]}
{"id":318,"expression_no_base_symbol":"((⨑⩽⪐$2480$)⩵∡$2384$≠≀$2987$∲⫓($3334$⪉⨛$1572$)⩍⋽⫝̸(⨣⨃⇪$4880$))↳≱(($2645$≠≀$2067$⫔⩽⩺$1638$⪔$1482$)⇆⨓≜)","expression":"((⨑⩽⪐⪩⨒∯212300)⩵∡⪩⨒∯211100≠≀⪩⨒∯232223∲⫓(⪩⨒∯310012⪉⨛⪩⨒∯120210)⩍⋽⫝̸(⨣⨃⇪⪩⨒∯1030100))↳≱((⪩⨒∯221111≠≀⪩⨒∯200103⫔⩽⩺⪩⨒∯121212⪔⪩⨒∯113022)⇆⨓≜)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":209782,"operation_count":12,"complexity_ratio":17481.833333333332,"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":2480,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2384,"base":4},"right_expr":{"type":"numeric_atoms","value":2987,"base":4}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3334,"base":4},"right_expr":{"type":"numeric_atoms","value":1572,"base":4}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":4880,"base":4}}}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2645,"base":4},"right_expr":{"type":"numeric_atoms","value":2067,"base":4}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1638,"base":4},"right_expr":{"type":"numeric_atoms","value":1482,"base":4}}}}},"used_operators":["JwTKLfZU96","i8ToyICDmI","Y7wcNGrDQJ","AF7qkfDlqP","IwW236VD4Y","BiWNJpBvwn","EWw2JM7wp4","AcOhelriW5","KvvgdUaMHJ","i9eR4S00cU","GjBEYRfMaF"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","Uaa54Peajs","KYD54nUTWz","Tw270M8GLb","fu6greOZ01","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2480","layer":4},{"info":"compute unary expreesion, input=2480, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2207","layer":3},{"info":"number node, value=2384","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=2987, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4462","layer":3},{"info":"compute binary expreesion, left_input=-2207, right_input=-4462, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2038","layer":2},{"info":"number node, value=3334","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=3334, right_input=1572, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=8645","layer":3},{"info":"number node, value=4880","layer":4},{"info":"compute unary expreesion, input=4880, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=8645, right_input=1405, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=459","layer":2},{"info":"compute binary expreesion, left_input=2038, right_input=459, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2038","layer":1},{"info":"number node, value=2645","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=2645, right_input=2067, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4984","layer":3},{"info":"number node, value=1638","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=1638, right_input=1482, 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=-4984, right_input=450, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2038, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⨑⩽⪐⪩⨒∯212300)⩵∡⪩⨒∯211100≠≀⪩⨒∯232223∲⫓(⪩⨒∯310012⪉⨛⪩⨒∯120210)⩍⋽⫝̸(⨣⨃⇪⪩⨒∯1030100))↳≱((⪩⨒∯221111≠≀⪩⨒∯200103⫔⩽⩺⪩⨒∯121212⪔⪩⨒∯113022)⇆⨓≜)=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⨑⩽⪐⪩⨒∯212300)⩵∡⪩⨒∯211100≠≀⪩⨒∯232223∲⫓(⪩⨒∯310012⪉⨛⪩⨒∯120210)⩍⋽⫝̸(⨣⨃⇪⪩⨒∯1030100))↳≱((⪩⨒∯221111≠≀⪩⨒∯200103⫔⩽⩺⪩⨒∯121212⪔⪩⨒∯113022)⇆⨓≜)","cot":[{"info":"⨑⩽⪐⪩⨒∯212300=⪩⨒∯-202133","layer":3},{"info":"⪩⨒∯211100≠≀⪩⨒∯232223=⪩⨒∯-1011232","layer":3},{"info":"⪩⨒∯-202133⩵∡⪩⨒∯-1011232=⪩⨒∯133312","layer":2},{"info":"⪩⨒∯310012⪉⨛⪩⨒∯120210=⪩⨒∯2013011","layer":3},{"info":"⨣⨃⇪⪩⨒∯1030100=⪩⨒∯111331","layer":3},{"info":"⪩⨒∯2013011⩍⋽⫝̸⪩⨒∯111331=⪩⨒∯13023","layer":2},{"info":"⪩⨒∯133312∲⫓⪩⨒∯13023=⪩⨒∯133312","layer":1},{"info":"⪩⨒∯221111≠≀⪩⨒∯200103=⪩⨒∯-1031320","layer":3},{"info":"⪩⨒∯121212⪔⪩⨒∯113022=⪩⨒∯13002","layer":3},{"info":"⪩⨒∯-1031320⫔⩽⩺⪩⨒∯13002=NaN","layer":2},{"info":"NaN⇆⨓≜=NaN","layer":1},{"info":"⪩⨒∯133312↳≱NaN=⪩⨒∯0","layer":0}]}
{"id":319,"expression_no_base_symbol":"((≀↧⇸$4481$⨼⩣$1628$)⪣⫩)⪶≀⋏(($1255$≎⊠⪸$1041$)⋹⋡⊁($1447$⨽∌$2238$)↬⩅∪)","expression":"((≀↧⇸⪩⨒∯1012001⨼⩣⪩⨒∯121130)⪣⫩)⪶≀⋏((⪩⨒∯103213≎⊠⪸⪩⨒∯100101)⋹⋡⊁(⪩⨒∯112213⨽∌⪩⨒∯202332)↬⩅∪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":752,"operation_count":8,"complexity_ratio":94.0,"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":4481,"base":4},"right_expr":{"type":"numeric_atoms","value":1628,"base":4}}}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1255,"base":4},"right_expr":{"type":"numeric_atoms","value":1041,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1447,"base":4},"right_expr":{"type":"numeric_atoms","value":2238,"base":4}}}}},"used_operators":["zR4jO40bMj","iuk5sVOGFA","ljTHtUsqzn","JxwMv5le6e","VJ330n2nnx","As8RqfVLgs","bJkvcejdHO","9samAPKr6k"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","XPYlsWDdGa","23Mk6UjR3U","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⪩⨒∯131231013331","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4481","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=4481, right_input=1628, 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":"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":1},{"info":"number node, value=1255","layer":4},{"info":"number node, value=1041","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1041, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=324572","layer":3},{"info":"number node, value=1447","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=2238, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=324572, right_input=0, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2596314","layer":2},{"info":"compute unary expreesion, input=2596314, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-7788942","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=-7788942, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=7787005","layer":0}],"base":4,"result_base":4,"text":"((≀↧⇸⪩⨒∯1012001⨼⩣⪩⨒∯121130)⪣⫩)⪶≀⋏((⪩⨒∯103213≎⊠⪸⪩⨒∯100101)⋹⋡⊁(⪩⨒∯112213⨽∌⪩⨒∯202332)↬⩅∪)=⪩⨒∯131231013331","reverse_text":"⪩⨒∯131231013331=((≀↧⇸⪩⨒∯1012001⨼⩣⪩⨒∯121130)⪣⫩)⪶≀⋏((⪩⨒∯103213≎⊠⪸⪩⨒∯100101)⋹⋡⊁(⪩⨒∯112213⨽∌⪩⨒∯202332)↬⩅∪)","cot":[{"info":"⪩⨒∯1012001⨼⩣⪩⨒∯121130=NaN","layer":3},{"info":"≀↧⇸NaN=NaN","layer":2},{"info":"NaN⪣⫩=⪩⨒∯32101","layer":1},{"info":"⪩⨒∯103213≎⊠⪸⪩⨒∯100101=⪩⨒∯1033033130","layer":3},{"info":"⪩⨒∯112213⨽∌⪩⨒∯202332=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1033033130⋹⋡⊁⪩⨒∯0=⪩⨒∯21321313122","layer":2},{"info":"⪩⨒∯21321313122↬⩅∪=⪩⨒∯-131231212032","layer":1},{"info":"⪩⨒∯32101⪶≀⋏⪩⨒∯-131231212032=⪩⨒∯131231013331","layer":0}]}
{"id":320,"expression_no_base_symbol":"((⫓⪴$3461$)≒∊$1433$⊝⪿⪼$7055$)⫁⪎(⊄⩳↩($6661$⨘))⊲⩕⊾(($1161$⋻⩜⩜$1451$)⊉↱≁(⪹$1401$))⇻⋧≁($1105$↸$5446$⪒$1992$≎⪠$2487$)","expression":"((⫓⪴⪩⨒∯312011)≒∊⪩⨒∯112121⊝⪿⪼⪩⨒∯1232033)⫁⪎(⊄⩳↩(⪩⨒∯1220011⨘))⊲⩕⊾((⪩⨒∯102021⋻⩜⩜⪩⨒∯112223)⊉↱≁(⪹⪩⨒∯111321))⇻⋧≁(⪩⨒∯101101↸⪩⨒∯1111012⪒⪩⨒∯133020≎⪠⪩⨒∯212313)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":81293,"operation_count":14,"complexity_ratio":5806.642857142857,"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":3461,"base":4}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1433,"base":4},"right_expr":{"type":"numeric_atoms","value":7055,"base":4}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":6661,"base":4}}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":1161,"base":4},"right_expr":{"type":"numeric_atoms","value":1451,"base":4}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1401,"base":4}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1105,"base":4},"right_expr":{"type":"numeric_atoms","value":5446,"base":4}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1992,"base":4},"right_expr":{"type":"numeric_atoms","value":2487,"base":4}}}}},"used_operators":["DmTXOeWf9t","xRrnTEsQ6j","5KTvxBwnZo","eLxqMNBOBk","3Oe9XWJUTD","8w2t5hMYqp","ljcfZBUpm8","jCPkEVoL5K","w2P8NbNXyL","oDCm7WA9JY","USyYr0JgAa","f6k1SAg4EE","1eCjFl0mb9","aNhz54LH3e"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9HNa5Wba9A","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⪩⨒∯-1130122131032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3461","layer":4},{"info":"compute unary expreesion, input=3461, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=11978521","layer":3},{"info":"number node, value=1433","layer":4},{"info":"number node, value=7055","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=7055, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=31427","layer":3},{"info":"compute binary expreesion, left_input=11978521, right_input=31427, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-11978037","layer":2},{"info":"number node, value=6661","layer":4},{"info":"compute unary expreesion, input=6661, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-47402","layer":3},{"info":"compute unary expreesion, input=-47402, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=142206","layer":2},{"info":"compute binary expreesion, left_input=-11978037, right_input=142206, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-12120243","layer":1},{"info":"number node, value=1161","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=1451, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2322","layer":3},{"info":"number node, value=1401","layer":4},{"info":"compute unary expreesion, input=1401, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1221","layer":3},{"info":"compute binary expreesion, left_input=2322, right_input=-1221, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=30494","layer":2},{"info":"number node, value=1105","layer":4},{"info":"number node, value=5446","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=5446, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1105","layer":3},{"info":"number node, value=1992","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=2487, 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=1105, right_input=19558, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-20663","layer":2},{"info":"compute binary expreesion, left_input=30494, right_input=-20663, 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 binary expreesion, left_input=-12120243, right_input=-447, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-24225614","layer":0}],"base":4,"result_base":4,"text":"((⫓⪴⪩⨒∯312011)≒∊⪩⨒∯112121⊝⪿⪼⪩⨒∯1232033)⫁⪎(⊄⩳↩(⪩⨒∯1220011⨘))⊲⩕⊾((⪩⨒∯102021⋻⩜⩜⪩⨒∯112223)⊉↱≁(⪹⪩⨒∯111321))⇻⋧≁(⪩⨒∯101101↸⪩⨒∯1111012⪒⪩⨒∯133020≎⪠⪩⨒∯212313)=⪩⨒∯-1130122131032","reverse_text":"⪩⨒∯-1130122131032=((⫓⪴⪩⨒∯312011)≒∊⪩⨒∯112121⊝⪿⪼⪩⨒∯1232033)⫁⪎(⊄⩳↩(⪩⨒∯1220011⨘))⊲⩕⊾((⪩⨒∯102021⋻⩜⩜⪩⨒∯112223)⊉↱≁(⪹⪩⨒∯111321))⇻⋧≁(⪩⨒∯101101↸⪩⨒∯1111012⪒⪩⨒∯133020≎⪠⪩⨒∯212313)","cot":[{"info":"⫓⪴⪩⨒∯312011=⪩⨒∯231230130121","layer":3},{"info":"⪩⨒∯112121⊝⪿⪼⪩⨒∯1232033=⪩⨒∯13223003","layer":3},{"info":"⪩⨒∯231230130121≒∊⪩⨒∯13223003=⪩⨒∯-231230110311","layer":2},{"info":"⪩⨒∯1220011⨘=⪩⨒∯-23210222","layer":3},{"info":"⊄⩳↩⪩⨒∯-23210222=⪩⨒∯202231332","layer":2},{"info":"⪩⨒∯-231230110311⫁⪎⪩⨒∯202231332=⪩⨒∯-232033002303","layer":1},{"info":"⪩⨒∯102021⋻⩜⩜⪩⨒∯112223=⪩⨒∯210102","layer":3},{"info":"⪹⪩⨒∯111321=⪩⨒∯-103011","layer":3},{"info":"⪩⨒∯210102⊉↱≁⪩⨒∯-103011=⪩⨒∯13130132","layer":2},{"info":"⪩⨒∯101101↸⪩⨒∯1111012=⪩⨒∯101101","layer":3},{"info":"⪩⨒∯133020≎⪠⪩⨒∯212313=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯101101⪒⪩⨒∯10301212=⪩⨒∯-11002313","layer":2},{"info":"⪩⨒∯13130132⇻⋧≁⪩⨒∯-11002313=⪩⨒∯-12333","layer":1},{"info":"⪩⨒∯-232033002303⊲⩕⊾⪩⨒∯-12333=⪩⨒∯-1130122131032","layer":0}]}
{"id":321,"expression_no_base_symbol":"($2098$≹⇙⪍$1038$⩌⋺($7962$⩷∴$3490$))⇻⋧≁($1700$⨑⩅≇$1016$↼⊘⨖(⋼∭⪍$2239$))⨓((⊬↢$1255$)↱(⇈$3163$))↓((⇺⋃$1235$)∷($1092$⩨$1747$))","expression":"(⪩⨒∯200302≹⇙⪍⪩⨒∯100032⩌⋺(⪩⨒∯1330122⩷∴⪩⨒∯312202))⇻⋧≁(⪩⨒∯122210⨑⩅≇⪩⨒∯33320↼⊘⨖(⋼∭⪍⪩⨒∯202333))⨓((⊬↢⪩⨒∯103213)↱(⇈⪩⨒∯301123))↓((⇺⋃⪩⨒∯103103)∷(⪩⨒∯101010⩨⪩⨒∯123103))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4136,"operation_count":15,"complexity_ratio":275.73333333333335,"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":2098,"base":4},"right_expr":{"type":"numeric_atoms","value":1038,"base":4}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7962,"base":4},"right_expr":{"type":"numeric_atoms","value":3490,"base":4}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1700,"base":4},"right_expr":{"type":"numeric_atoms","value":1016,"base":4}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":2239,"base":4}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":1255,"base":4}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":3163,"base":4}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1235,"base":4}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1092,"base":4},"right_expr":{"type":"numeric_atoms","value":1747,"base":4}}}}},"used_operators":["3ViojmjbAp","jCPkEVoL5K","g7Hmc5v1ko","AHs5Up7iyr","9FxExcQeMw","bPywburJMS","h92wMvzauj","DbCuESL50I","Af076pWI7l","SR5kFfdi6N","WPoGxAaPR1","SLLxy00UIr","D3AQDKkPcf","E5v5B3UAjG","2DlMacCsIx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","dWAJyo7jo9","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","9FxExcQeMw","NTOWxs364D","7j4O788W3g","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪩⨒∯2003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2098","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=1038, 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=7962","layer":4},{"info":"number node, value=3490","layer":4},{"info":"compute binary expreesion, left_input=7962, right_input=3490, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8912","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8912, 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":"number node, value=1700","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=1700, right_input=1016, 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=-5100","layer":3},{"info":"number node, value=2239","layer":4},{"info":"compute unary expreesion, input=2239, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-7216","layer":3},{"info":"compute binary expreesion, left_input=-5100, right_input=-7216, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-14654","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14654, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":1},{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, 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=3163","layer":4},{"info":"compute unary expreesion, input=3163, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=218, right_input=-447, 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=11736","layer":2},{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1092","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=1747, 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 = 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=11736, 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=0, right_input=-134, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=131","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯200302≹⇙⪍⪩⨒∯100032⩌⋺(⪩⨒∯1330122⩷∴⪩⨒∯312202))⇻⋧≁(⪩⨒∯122210⨑⩅≇⪩⨒∯33320↼⊘⨖(⋼∭⪍⪩⨒∯202333))⨓((⊬↢⪩⨒∯103213)↱(⇈⪩⨒∯301123))↓((⇺⋃⪩⨒∯103103)∷(⪩⨒∯101010⩨⪩⨒∯123103))=⪩⨒∯2003","reverse_text":"⪩⨒∯2003=(⪩⨒∯200302≹⇙⪍⪩⨒∯100032⩌⋺(⪩⨒∯1330122⩷∴⪩⨒∯312202))⇻⋧≁(⪩⨒∯122210⨑⩅≇⪩⨒∯33320↼⊘⨖(⋼∭⪍⪩⨒∯202333))⨓((⊬↢⪩⨒∯103213)↱(⇈⪩⨒∯301123))↓((⇺⋃⪩⨒∯103103)∷(⪩⨒∯101010⩨⪩⨒∯123103))","cot":[{"info":"⪩⨒∯200302≹⇙⪍⪩⨒∯100032=NaN","layer":3},{"info":"⪩⨒∯1330122⩷∴⪩⨒∯312202=⪩⨒∯2023100","layer":3},{"info":"NaN⩌⋺⪩⨒∯2023100=NaN","layer":2},{"info":"⪩⨒∯122210⨑⩅≇⪩⨒∯33320=⪩⨒∯-1033230","layer":3},{"info":"⋼∭⪍⪩⨒∯202333=⪩⨒∯-1300300","layer":3},{"info":"⪩⨒∯-1033230↼⊘⨖⪩⨒∯-1300300=⪩⨒∯-3210332","layer":2},{"info":"NaN⇻⋧≁⪩⨒∯-3210332=⪩⨒∯0","layer":1},{"info":"⊬↢⪩⨒∯103213=⪩⨒∯3122","layer":3},{"info":"⇈⪩⨒∯301123=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯3122↱⪩⨒∯-12333=⪩⨒∯2313120","layer":2},{"info":"⇺⋃⪩⨒∯103103=NaN","layer":3},{"info":"⪩⨒∯101010⩨⪩⨒∯123103=⪩⨒∯-3","layer":3},{"info":"NaN∷⪩⨒∯-3=NaN","layer":2},{"info":"⪩⨒∯2313120↓NaN=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯0⨓⪩⨒∯-2012=⪩⨒∯2003","layer":0}]}
{"id":322,"expression_no_base_symbol":"(($9645$⫘$3367$≄⊠($7158$+⇶⊼$3995$))⋥⋵⩄($1521$⋹⋡⊁$2662$⪍↜⋙$8919$⊉↱≁$3185$))⨿(($1444$∌↝$7242$∟)↱((↯⪼$3798$)⪁$1094$⨐$4053$))","expression":"((⪩⨒∯2112231⫘⪩⨒∯310213≄⊠(⪩⨒∯1233312+⇶⊼⪩⨒∯332123))⋥⋵⩄(⪩⨒∯113301⋹⋡⊁⪩⨒∯221212⪍↜⋙⪩⨒∯2023113⊉↱≁⪩⨒∯301301))⨿((⪩⨒∯112210∌↝⪩⨒∯1301022∟)↱((↯⪼⪩⨒∯323112)⪁⪩⨒∯101012⨐⪩⨒∯333111))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":190669255,"operation_count":14,"complexity_ratio":13619232.5,"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":9645,"base":4},"right_expr":{"type":"numeric_atoms","value":3367,"base":4}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7158,"base":4},"right_expr":{"type":"numeric_atoms","value":3995,"base":4}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1521,"base":4},"right_expr":{"type":"numeric_atoms","value":2662,"base":4}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":8919,"base":4},"right_expr":{"type":"numeric_atoms","value":3185,"base":4}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1444,"base":4},"right_expr":{"type":"numeric_atoms","value":7242,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3798,"base":4}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1094,"base":4},"right_expr":{"type":"numeric_atoms","value":4053,"base":4}}}}},"used_operators":["abYXlopdE0","7t3wd0Fuz7","vXNesLlMH1","48vC8HMD2b","TpPTUOHfaN","L05ObWFQCd","As8RqfVLgs","w2P8NbNXyL","SR5kFfdi6N","hTbEZDJLEm","9Isq31Ruls","I7sXao9hZE","8jW3W4yZS5","Noe24qw2ks"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⪩⨒∯-10333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=9645","layer":4},{"info":"number node, value=3367","layer":4},{"info":"compute binary expreesion, left_input=9645, right_input=3367, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=11346925","layer":3},{"info":"number node, value=7158","layer":4},{"info":"number node, value=3995","layer":4},{"info":"compute binary expreesion, left_input=7158, right_input=3995, 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=11346925, 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":"number node, value=1521","layer":4},{"info":"number node, value=2662","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=2662, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3412","layer":3},{"info":"number node, value=8919","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=8919, right_input=3185, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=70028","layer":3},{"info":"compute binary expreesion, left_input=3412, right_input=70028, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-157899","layer":2},{"info":"compute binary expreesion, left_input=1500, right_input=-157899, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=1574446","layer":1},{"info":"number node, value=1444","layer":4},{"info":"number node, value=7242","layer":4},{"info":"compute binary expreesion, left_input=1444, right_input=7242, 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 = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":2},{"info":"number node, value=3798","layer":4},{"info":"compute unary expreesion, input=3798, 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=1094","layer":4},{"info":"number node, value=4053","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=4053, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2188","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-2188, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=113, 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=1574446, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯2112231⫘⪩⨒∯310213≄⊠(⪩⨒∯1233312+⇶⊼⪩⨒∯332123))⋥⋵⩄(⪩⨒∯113301⋹⋡⊁⪩⨒∯221212⪍↜⋙⪩⨒∯2023113⊉↱≁⪩⨒∯301301))⨿((⪩⨒∯112210∌↝⪩⨒∯1301022∟)↱((↯⪼⪩⨒∯323112)⪁⪩⨒∯101012⨐⪩⨒∯333111))=⪩⨒∯-10333","reverse_text":"⪩⨒∯-10333=((⪩⨒∯2112231⫘⪩⨒∯310213≄⊠(⪩⨒∯1233312+⇶⊼⪩⨒∯332123))⋥⋵⩄(⪩⨒∯113301⋹⋡⊁⪩⨒∯221212⪍↜⋙⪩⨒∯2023113⊉↱≁⪩⨒∯301301))⨿((⪩⨒∯112210∌↝⪩⨒∯1301022∟)↱((↯⪼⪩⨒∯323112)⪁⪩⨒∯101012⨐⪩⨒∯333111))","cot":[{"info":"⪩⨒∯2112231⫘⪩⨒∯310213=⪩⨒∯223102033231","layer":3},{"info":"⪩⨒∯1233312+⇶⊼⪩⨒∯332123=NaN","layer":3},{"info":"⪩⨒∯223102033231≄⊠NaN=⪩⨒∯113130","layer":2},{"info":"⪩⨒∯113301⋹⋡⊁⪩⨒∯221212=⪩⨒∯311110","layer":3},{"info":"⪩⨒∯2023113⊉↱≁⪩⨒∯301301=⪩⨒∯101012030","layer":3},{"info":"⪩⨒∯311110⪍↜⋙⪩⨒∯101012030=⪩⨒∯-212203023","layer":2},{"info":"⪩⨒∯113130⋥⋵⩄⪩⨒∯-212203023=⪩⨒∯12000120232","layer":1},{"info":"⪩⨒∯112210∌↝⪩⨒∯1301022=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0∟=⪩⨒∯1301","layer":2},{"info":"↯⪼⪩⨒∯323112=⪩⨒∯-111","layer":3},{"info":"⪩⨒∯101012⨐⪩⨒∯333111=⪩⨒∯-202030","layer":3},{"info":"⪩⨒∯-111⪁⪩⨒∯-202030=NaN","layer":2},{"info":"⪩⨒∯1301↱NaN=NaN","layer":1},{"info":"⪩⨒∯12000120232⨿NaN=⪩⨒∯-10333","layer":0}]}
{"id":323,"expression_no_base_symbol":"(⪫⨮⊛(≔($3838$⪉⨛$2743$)))⇄($6614$⩼⇪↪$2205$⪶≀⋏($1052$⇗⋫)⩵∡($7907$⨽$1719$)∌↝($5589$⪁$1440$))","expression":"(⪫⨮⊛(≔(⪩⨒∯323332⪉⨛⪩⨒∯222313)))⇄(⪩⨒∯1213112⩼⇪↪⪩⨒∯202131⪶≀⋏(⪩⨒∯100130⇗⋫)⩵∡(⪩⨒∯1323203⨽⪩⨒∯122313)∌↝(⪩⨒∯1113111⪁⪩⨒∯112200))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":30772029,"operation_count":11,"complexity_ratio":2797457.1818181816,"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":3838,"base":4},"right_expr":{"type":"numeric_atoms","value":2743,"base":4}}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":6614,"base":4},"right_expr":{"type":"numeric_atoms","value":2205,"base":4}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":1052,"base":4}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7907,"base":4},"right_expr":{"type":"numeric_atoms","value":1719,"base":4}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":5589,"base":4},"right_expr":{"type":"numeric_atoms","value":1440,"base":4}}}}},"used_operators":["3EYGwJThht","w5FWba1tyO","8FLs4eVsLt","EWw2JM7wp4","Y7wcNGrDQJ","zR4jO40bMj","ocnLzx9CaJ","hpqmaQFPrd","9Isq31Ruls","8HhzD0ZcuI","I7sXao9hZE"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rxpJgHHUmx","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3838","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=3838, right_input=2743, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=8986","layer":3},{"info":"compute unary expreesion, input=8986, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-250314","layer":2},{"info":"compute unary expreesion, input=-250314, 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=6614","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=6614, right_input=2205, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-2990","layer":3},{"info":"number node, value=1052","layer":4},{"info":"compute unary expreesion, input=1052, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2990, 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":"number node, value=7907","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=7907, right_input=1719, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-187565790","layer":3},{"info":"number node, value=5589","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=5589, right_input=1440, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-187565790, right_input=nan, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-187565790","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-187565790, 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 = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪫⨮⊛(≔(⪩⨒∯323332⪉⨛⪩⨒∯222313)))⇄(⪩⨒∯1213112⩼⇪↪⪩⨒∯202131⪶≀⋏(⪩⨒∯100130⇗⋫)⩵∡(⪩⨒∯1323203⨽⪩⨒∯122313)∌↝(⪩⨒∯1113111⪁⪩⨒∯112200))=NaN","reverse_text":"NaN=(⪫⨮⊛(≔(⪩⨒∯323332⪉⨛⪩⨒∯222313)))⇄(⪩⨒∯1213112⩼⇪↪⪩⨒∯202131⪶≀⋏(⪩⨒∯100130⇗⋫)⩵∡(⪩⨒∯1323203⨽⪩⨒∯122313)∌↝(⪩⨒∯1113111⪁⪩⨒∯112200))","cot":[{"info":"⪩⨒∯323332⪉⨛⪩⨒∯222313=⪩⨒∯2030122","layer":3},{"info":"≔⪩⨒∯2030122=⪩⨒∯-331013022","layer":2},{"info":"⪫⨮⊛⪩⨒∯-331013022=NaN","layer":1},{"info":"⪩⨒∯1213112⩼⇪↪⪩⨒∯202131=⪩⨒∯-232232","layer":3},{"info":"⪩⨒∯100130⇗⋫=NaN","layer":3},{"info":"⪩⨒∯-232232⪶≀⋏NaN=NaN","layer":2},{"info":"⪩⨒∯1323203⨽⪩⨒∯122313=⪩⨒∯-23023200123132","layer":3},{"info":"⪩⨒∯1113111⪁⪩⨒∯112200=NaN","layer":3},{"info":"⪩⨒∯-23023200123132∌↝NaN=⪩⨒∯-23023200123132","layer":2},{"info":"NaN⩵∡⪩⨒∯-23023200123132=NaN","layer":1},{"info":"NaN⇄NaN=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"(($1421$⪨⊡$2775$⫌⩹⨱)⇡)⫗⊷⫓(⊀(⇜$6969$⫘$9391$))","expression":"((⪩⨒∯112031⪨⊡⪩⨒∯223113⫌⩹⨱)⇡)⫗⊷⫓(⊀(⇜⪩⨒∯1230321⫘⪩⨒∯2102233))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":432490,"operation_count":7,"complexity_ratio":61784.28571428572,"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":1421,"base":4},"right_expr":{"type":"numeric_atoms","value":2775,"base":4}}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":6969,"base":4},"right_expr":{"type":"numeric_atoms","value":9391,"base":4}}}}},"used_operators":["zashukvMKz","UqFzSgLMvQ","EBcxylXtPf","kuIXHzHcAH","oPMjh9089D","lFBm8KRb8F","48vC8HMD2b"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe"],"result":"⪩⨒∯-2012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1421","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=2775, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":2},{"info":"compute unary expreesion, input=1401, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":1},{"info":"number node, value=6969","layer":4},{"info":"number node, value=9391","layer":4},{"info":"compute binary expreesion, left_input=6969, right_input=9391, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=8199949","layer":3},{"info":"compute unary expreesion, input=8199949, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-65600000","layer":2},{"info":"compute unary expreesion, input=-65600000, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=984000783","layer":1},{"info":"compute binary expreesion, left_input=-2917, right_input=984000783, 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":4,"result_base":4,"text":"((⪩⨒∯112031⪨⊡⪩⨒∯223113⫌⩹⨱)⇡)⫗⊷⫓(⊀(⇜⪩⨒∯1230321⫘⪩⨒∯2102233))=⪩⨒∯-2012","reverse_text":"⪩⨒∯-2012=((⪩⨒∯112031⪨⊡⪩⨒∯223113⫌⩹⨱)⇡)⫗⊷⫓(⊀(⇜⪩⨒∯1230321⫘⪩⨒∯2102233))","cot":[{"info":"⪩⨒∯112031⪨⊡⪩⨒∯223113=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⫌⩹⨱=⪩⨒∯111321","layer":2},{"info":"⪩⨒∯111321⇡=⪩⨒∯-231211","layer":1},{"info":"⪩⨒∯1230321⫘⪩⨒∯2102233=⪩⨒∯133101330031","layer":3},{"info":"⇜⪩⨒∯133101330031=⪩⨒∯-3322033220000","layer":2},{"info":"⊀⪩⨒∯-3322033220000=⪩⨒∯322221222210033","layer":1},{"info":"⪩⨒∯-231211⫗⊷⫓⪩⨒∯322221222210033=⪩⨒∯-2012","layer":0}]}
{"id":325,"expression_no_base_symbol":"((($6012$⪛⫼$1964$)⪶≀⋏($2780$⩷∴$7395$))⨟⋌⩍($1978$⪍↜⋙$4699$⩨$9095$⪥$4327$))∥⊢⊲(($1477$⩒⫫$1317$)⪚($2961$⨎$4460$)≚⋢)","expression":"(((⪩⨒∯1131330⪛⫼⪩⨒∯132230)⪶≀⋏(⪩⨒∯223130⩷∴⪩⨒∯1303203))⨟⋌⩍(⪩⨒∯132322⪍↜⋙⪩⨒∯1021123⩨⪩⨒∯2032013⪥⪩⨒∯1003213))∥⊢⊲((⪩⨒∯113011⩒⫫⪩⨒∯110211)⪚(⪩⨒∯232101⨎⪩⨒∯1011230)≚⋢)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1304,"operation_count":12,"complexity_ratio":108.66666666666667,"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":6012,"base":4},"right_expr":{"type":"numeric_atoms","value":1964,"base":4}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2780,"base":4},"right_expr":{"type":"numeric_atoms","value":7395,"base":4}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1978,"base":4},"right_expr":{"type":"numeric_atoms","value":4699,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":9095,"base":4},"right_expr":{"type":"numeric_atoms","value":4327,"base":4}}}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1477,"base":4},"right_expr":{"type":"numeric_atoms","value":1317,"base":4}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2961,"base":4},"right_expr":{"type":"numeric_atoms","value":4460,"base":4}}}}},"used_operators":["v1UQAVDJRr","rGHVDoGpnC","zR4jO40bMj","hyuBjUqXlG","9FxExcQeMw","2DlMacCsIx","L05ObWFQCd","QbnwKVWMIQ","MahUMFw56D","HrjLwUk87U","KFSx94NKJn","rJVOvQCfKK"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","3ViojmjbAp","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6012","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=6012, right_input=1964, 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=2780","layer":4},{"info":"number node, value=7395","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=7395, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9262","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-9262, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=7215","layer":2},{"info":"number node, value=1978","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=1978, right_input=4699, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-20071","layer":3},{"info":"number node, value=9095","layer":4},{"info":"number node, value=4327","layer":4},{"info":"compute binary expreesion, left_input=9095, right_input=4327, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=41032","layer":3},{"info":"compute binary expreesion, left_input=-20071, right_input=41032, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"compute binary expreesion, left_input=7215, right_input=9, 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":"number node, value=1477","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1317, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1175","layer":3},{"info":"number node, value=2961","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=2961, right_input=4460, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4460","layer":3},{"info":"compute binary expreesion, left_input=1175, right_input=4460, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-6926","layer":2},{"info":"compute unary expreesion, input=-6926, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-89, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1131330⪛⫼⪩⨒∯132230)⪶≀⋏(⪩⨒∯223130⩷∴⪩⨒∯1303203))⨟⋌⩍(⪩⨒∯132322⪍↜⋙⪩⨒∯1021123⩨⪩⨒∯2032013⪥⪩⨒∯1003213))∥⊢⊲((⪩⨒∯113011⩒⫫⪩⨒∯110211)⪚(⪩⨒∯232101⨎⪩⨒∯1011230)≚⋢)=⪩⨒∯0","reverse_text":"⪩⨒∯0=(((⪩⨒∯1131330⪛⫼⪩⨒∯132230)⪶≀⋏(⪩⨒∯223130⩷∴⪩⨒∯1303203))⨟⋌⩍(⪩⨒∯132322⪍↜⋙⪩⨒∯1021123⩨⪩⨒∯2032013⪥⪩⨒∯1003213))∥⊢⊲((⪩⨒∯113011⩒⫫⪩⨒∯110211)⪚(⪩⨒∯232101⨎⪩⨒∯1011230)≚⋢)","cot":[{"info":"⪩⨒∯1131330⪛⫼⪩⨒∯132230=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯223130⩷∴⪩⨒∯1303203=⪩⨒∯-2100232","layer":3},{"info":"⪩⨒∯33020⪶≀⋏⪩⨒∯-2100232=⪩⨒∯1300233","layer":2},{"info":"⪩⨒∯132322⪍↜⋙⪩⨒∯1021123=⪩⨒∯-10321213","layer":3},{"info":"⪩⨒∯2032013⪥⪩⨒∯1003213=⪩⨒∯22001020","layer":3},{"info":"⪩⨒∯-10321213⩨⪩⨒∯22001020=⪩⨒∯21","layer":2},{"info":"⪩⨒∯1300233⨟⋌⩍⪩⨒∯21=⪩⨒∯0","layer":1},{"info":"⪩⨒∯113011⩒⫫⪩⨒∯110211=⪩⨒∯102113","layer":3},{"info":"⪩⨒∯232101⨎⪩⨒∯1011230=⪩⨒∯1011230","layer":3},{"info":"⪩⨒∯102113⪚⪩⨒∯1011230=⪩⨒∯-1230032","layer":2},{"info":"⪩⨒∯-1230032≚⋢=⪩⨒∯-1121","layer":1},{"info":"⪩⨒∯0∥⊢⊲⪩⨒∯-1121=⪩⨒∯0","layer":0}]}
{"id":326,"expression_no_base_symbol":"∷≠(($2125$⋷$2006$)⨰(⨂⪏⇭$2254$)⨳⩥⨓(⊈($2174$∑⇟⊟$4023$)))","expression":"∷≠((⪩⨒∯201031⋷⪩⨒∯133112)⨰(⨂⪏⇭⪩⨒∯203032)⨳⩥⨓(⊈(⪩⨒∯201332∑⇟⊟⪩⨒∯332313)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":33,"operation_count":7,"complexity_ratio":4.714285714285714,"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":2125,"base":4},"right_expr":{"type":"numeric_atoms","value":2006,"base":4}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":2254,"base":4}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2174,"base":4},"right_expr":{"type":"numeric_atoms","value":4023,"base":4}}}}},"used_operators":["QiR2Oyf5Xj","nCS4ZIUYfx","eewbuw0ToL","23Mk6UjR3U","AYdpE9sXAk","RHru8klgy8","U7g4x0WXJJ"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","12rbrZMWeM","xUOZtlo3hN","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2125","layer":4},{"info":"number node, value=2006","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=2006, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1887","layer":3},{"info":"number node, value=2254","layer":4},{"info":"compute unary expreesion, input=2254, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=5783","layer":3},{"info":"compute binary expreesion, left_input=1887, right_input=5783, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3886","layer":2},{"info":"number node, value=2174","layer":4},{"info":"number node, value=4023","layer":4},{"info":"compute binary expreesion, left_input=2174, right_input=4023, 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 = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3886, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"∷≠((⪩⨒∯201031⋷⪩⨒∯133112)⨰(⨂⪏⇭⪩⨒∯203032)⨳⩥⨓(⊈(⪩⨒∯201332∑⇟⊟⪩⨒∯332313)))=NaN","reverse_text":"NaN=∷≠((⪩⨒∯201031⋷⪩⨒∯133112)⨰(⨂⪏⇭⪩⨒∯203032)⨳⩥⨓(⊈(⪩⨒∯201332∑⇟⊟⪩⨒∯332313)))","cot":[{"info":"⪩⨒∯201031⋷⪩⨒∯133112=⪩⨒∯131133","layer":3},{"info":"⨂⪏⇭⪩⨒∯203032=⪩⨒∯1122113","layer":3},{"info":"⪩⨒∯131133⨰⪩⨒∯1122113=⪩⨒∯-330232","layer":2},{"info":"⪩⨒∯201332∑⇟⊟⪩⨒∯332313=NaN","layer":3},{"info":"⊈NaN=NaN","layer":2},{"info":"⪩⨒∯-330232⨳⩥⨓NaN=NaN","layer":1},{"info":"∷≠NaN=NaN","layer":0}]}
{"id":327,"expression_no_base_symbol":"((⋎⨆$4386$⇮⋭$1125$)∈)/(≅≯⇸(⇺⋃$6057$)⩍⋽⫝̸(⊀$1466$))","expression":"((⋎⨆⪩⨒∯1010202⇮⋭⪩⨒∯101211)∈)/(≅≯⇸(⇺⋃⪩⨒∯1132221)⩍⋽⫝̸(⊀⪩⨒∯112322))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1343,"operation_count":8,"complexity_ratio":167.875,"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":4386,"base":4},"right_expr":{"type":"numeric_atoms","value":1125,"base":4}}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":6057,"base":4}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1466,"base":4}}}}},"used_operators":["XhwjNDsVaA","ztP7wcbY7m","E64sFOc4tB","vkpjKywKVM","apS25hmuAe","BiWNJpBvwn","E5v5B3UAjG","oPMjh9089D"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","EBcxylXtPf","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"⪩⨒∯32311","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4386","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=4386, right_input=1125, 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 = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"compute unary expreesion, input=8320752, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=24961585","layer":1},{"info":"number node, value=6057","layer":4},{"info":"compute unary expreesion, input=6057, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"number node, value=1466","layer":4},{"info":"compute unary expreesion, input=1466, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5602","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5602, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4656","layer":2},{"info":"compute unary expreesion, input=4656, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=26301","layer":1},{"info":"compute binary expreesion, left_input=24961585, right_input=26301, op_id = XhwjNDsVaA binary_op_definition= 'None', output=949","layer":0}],"base":4,"result_base":4,"text":"((⋎⨆⪩⨒∯1010202⇮⋭⪩⨒∯101211)∈)/(≅≯⇸(⇺⋃⪩⨒∯1132221)⩍⋽⫝̸(⊀⪩⨒∯112322))=⪩⨒∯32311","reverse_text":"⪩⨒∯32311=((⋎⨆⪩⨒∯1010202⇮⋭⪩⨒∯101211)∈)/(≅≯⇸(⇺⋃⪩⨒∯1132221)⩍⋽⫝̸(⊀⪩⨒∯112322))","cot":[{"info":"⪩⨒∯1010202⇮⋭⪩⨒∯101211=⪩⨒∯-13121","layer":3},{"info":"⋎⨆⪩⨒∯-13121=⪩⨒∯133233123300","layer":2},{"info":"⪩⨒∯133233123300∈=⪩⨒∯1133032020301","layer":1},{"info":"⇺⋃⪩⨒∯1132221=NaN","layer":3},{"info":"⊀⪩⨒∯112322=⪩⨒∯1113202","layer":3},{"info":"NaN⩍⋽⫝̸⪩⨒∯1113202=⪩⨒∯1020300","layer":2},{"info":"≅≯⇸⪩⨒∯1020300=⪩⨒∯12122331","layer":1},{"info":"⪩⨒∯1133032020301/⪩⨒∯12122331=⪩⨒∯32311","layer":0}]}
{"id":328,"expression_no_base_symbol":"≋($1741$⇤$4098$+⇶⊼(⇘$1133$)∝($1347$⫸⇳$1721$⨒$7452$⨓$4624$))","expression":"≋(⪩⨒∯123031⇤⪩⨒∯1000002+⇶⊼(⇘⪩⨒∯101231)∝(⪩⨒∯111003⫸⇳⪩⨒∯122321⨒⪩⨒∯1310130⨓⪩⨒∯1020100))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6999,"operation_count":8,"complexity_ratio":874.875,"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":1741,"base":4},"right_expr":{"type":"numeric_atoms","value":4098,"base":4}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1133,"base":4}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1347,"base":4},"right_expr":{"type":"numeric_atoms","value":1721,"base":4}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":7452,"base":4},"right_expr":{"type":"numeric_atoms","value":4624,"base":4}}}}},"used_operators":["61wBmkZwlr","cTDWOvIxvz","TpPTUOHfaN","YSKBFp38Pu","MGuIdZPyUC","y75s1iXyHd","gx7XJ7hdpj","3ViojmjbAp"],"dependent_operators":["7j4O788W3g","7j4O788W3g","W4YGzv6Whe","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1741","layer":4},{"info":"number node, value=4098","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=4098, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-26347","layer":3},{"info":"number node, value=1133","layer":4},{"info":"compute unary expreesion, input=1133, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=62362","layer":3},{"info":"compute binary expreesion, left_input=-26347, right_input=62362, 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=1347","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=1347, right_input=1721, 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=7452","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=7452, right_input=4624, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4627","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4627, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"≋(⪩⨒∯123031⇤⪩⨒∯1000002+⇶⊼(⇘⪩⨒∯101231)∝(⪩⨒∯111003⫸⇳⪩⨒∯122321⨒⪩⨒∯1310130⨓⪩⨒∯1020100))=NaN","reverse_text":"NaN=≋(⪩⨒∯123031⇤⪩⨒∯1000002+⇶⊼(⇘⪩⨒∯101231)∝(⪩⨒∯111003⫸⇳⪩⨒∯122321⨒⪩⨒∯1310130⨓⪩⨒∯1020100))","cot":[{"info":"⪩⨒∯123031⇤⪩⨒∯1000002=⪩⨒∯-12123223","layer":3},{"info":"⇘⪩⨒∯101231=⪩⨒∯33032122","layer":3},{"info":"⪩⨒∯-12123223+⇶⊼⪩⨒∯33032122=NaN","layer":2},{"info":"⪩⨒∯111003⫸⇳⪩⨒∯122321=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1310130⨓⪩⨒∯1020100=⪩⨒∯-1020103","layer":3},{"info":"⪩⨒∯0⨒⪩⨒∯-1020103=⪩⨒∯1","layer":2},{"info":"NaN∝⪩⨒∯1=NaN","layer":1},{"info":"≋NaN=NaN","layer":0}]}
{"id":329,"expression_no_base_symbol":"(($2485$≀⩗∶$2235$)⨭⪣(≔$2412$)⪠⩆⊳)≳⇉((($2359$∙∹∝$3167$)∁)≎⊠⪸(($2060$↬⩅∪)⊭↱$2590$⨟⋌⩍$1000$))","expression":"((⪩⨒∯212311≀⩗∶⪩⨒∯202323)⨭⪣(≔⪩⨒∯211230)⪠⩆⊳)≳⇉(((⪩⨒∯210313∙∹∝⪩⨒∯301133)∁)≎⊠⪸((⪩⨒∯200030↬⩅∪)⊭↱⪩⨒∯220132⨟⋌⩍⪩⨒∯33220))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2894841,"operation_count":11,"complexity_ratio":263167.36363636365,"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":2485,"base":4},"right_expr":{"type":"numeric_atoms","value":2235,"base":4}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":2412,"base":4}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2359,"base":4},"right_expr":{"type":"numeric_atoms","value":3167,"base":4}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":2060,"base":4}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2590,"base":4},"right_expr":{"type":"numeric_atoms","value":1000,"base":4}}}}},"used_operators":["V0kx6qeWkN","JLbD19bQDL","kn8WO9XteQ","8INZBEW696","8FLs4eVsLt","bJkvcejdHO","jdwGQqwJi5","HmxsFra2vL","COABgblf1C","VJ330n2nnx","rGHVDoGpnC"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2DDjHMKMc0","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2485","layer":4},{"info":"number node, value=2235","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=2235, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=2412","layer":4},{"info":"compute unary expreesion, input=2412, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-66242","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-66242, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-322","layer":2},{"info":"compute unary expreesion, input=-322, 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=2359","layer":4},{"info":"number node, value=3167","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=3167, 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 = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=0","layer":2},{"info":"number node, value=2060","layer":4},{"info":"compute unary expreesion, input=2060, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-6180","layer":3},{"info":"number node, value=2590","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2590, right_input=1000, 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":3},{"info":"compute binary expreesion, left_input=-6180, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=12365","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12365, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-473, 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":4,"result_base":4,"text":"((⪩⨒∯212311≀⩗∶⪩⨒∯202323)⨭⪣(≔⪩⨒∯211230)⪠⩆⊳)≳⇉(((⪩⨒∯210313∙∹∝⪩⨒∯301133)∁)≎⊠⪸((⪩⨒∯200030↬⩅∪)⊭↱⪩⨒∯220132⨟⋌⩍⪩⨒∯33220))=NaN","reverse_text":"NaN=((⪩⨒∯212311≀⩗∶⪩⨒∯202323)⨭⪣(≔⪩⨒∯211230)⪠⩆⊳)≳⇉(((⪩⨒∯210313∙∹∝⪩⨒∯301133)∁)≎⊠⪸((⪩⨒∯200030↬⩅∪)⊭↱⪩⨒∯220132⨟⋌⩍⪩⨒∯33220))","cot":[{"info":"⪩⨒∯212311≀⩗∶⪩⨒∯202323=⪩⨒∯0","layer":3},{"info":"≔⪩⨒∯211230=⪩⨒∯-100023002","layer":3},{"info":"⪩⨒∯0⨭⪣⪩⨒∯-100023002=⪩⨒∯-11002","layer":2},{"info":"⪩⨒∯-11002⪠⩆⊳=⪩⨒∯0","layer":1},{"info":"⪩⨒∯210313∙∹∝⪩⨒∯301133=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0∁=⪩⨒∯0","layer":2},{"info":"⪩⨒∯200030↬⩅∪=⪩⨒∯-1200210","layer":3},{"info":"⪩⨒∯220132⨟⋌⩍⪩⨒∯33220=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1200210⊭↱⪩⨒∯0=⪩⨒∯3001031","layer":2},{"info":"⪩⨒∯0≎⊠⪸⪩⨒∯3001031=⪩⨒∯-13121","layer":1},{"info":"⪩⨒∯0≳⇉⪩⨒∯-13121=NaN","layer":0}]}
{"id":330,"expression_no_base_symbol":"($3542$∼$2290$⨪↰⇹(⊙↵-$4998$)⊓⋫)⨔≚≋($1005$⩘$5611$⇣⩺⋵$7726$⋛$1502$⩚⊴⇥(⪲⇎$4911$⊲⩕⊾$2264$))","expression":"(⪩⨒∯313112∼⪩⨒∯203302⨪↰⇹(⊙↵-⪩⨒∯1032012)⊓⋫)⨔≚≋(⪩⨒∯33231⩘⪩⨒∯1113223⇣⩺⋵⪩⨒∯1320232⋛⪩⨒∯113132⩚⊴⇥(⪲⇎⪩⨒∯1030233⊲⩕⊾⪩⨒∯203120))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5629,"operation_count":11,"complexity_ratio":511.72727272727275,"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":3542,"base":4},"right_expr":{"type":"numeric_atoms","value":2290,"base":4}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4998,"base":4}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1005,"base":4},"right_expr":{"type":"numeric_atoms","value":5611,"base":4}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":7726,"base":4},"right_expr":{"type":"numeric_atoms","value":1502,"base":4}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4911,"base":4},"right_expr":{"type":"numeric_atoms","value":2264,"base":4}}}}},"used_operators":["Z57zeUYC9z","IqGBaFP0uj","tmPS8pqC7x","DyGG3AbaNP","oWn0xqSxBt","NTOWxs364D","F4yD0voBRQ","cHh1gJQ2o6","YbUVn0Rbpy","XPYlsWDdGa","DmTXOeWf9t"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3542","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=2290, 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=4998","layer":4},{"info":"compute unary expreesion, input=4998, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=nan","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=5611","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=5611, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=7726","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=7726, right_input=1502, 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=-62658","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-62658, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=4911","layer":4},{"info":"number node, value=2264","layer":4},{"info":"compute binary expreesion, left_input=4911, right_input=2264, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-97846","layer":3},{"info":"compute unary expreesion, input=-97846, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-195692","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-195692, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=195831","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=195831, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯313112∼⪩⨒∯203302⨪↰⇹(⊙↵-⪩⨒∯1032012)⊓⋫)⨔≚≋(⪩⨒∯33231⩘⪩⨒∯1113223⇣⩺⋵⪩⨒∯1320232⋛⪩⨒∯113132⩚⊴⇥(⪲⇎⪩⨒∯1030233⊲⩕⊾⪩⨒∯203120))=NaN","reverse_text":"NaN=(⪩⨒∯313112∼⪩⨒∯203302⨪↰⇹(⊙↵-⪩⨒∯1032012)⊓⋫)⨔≚≋(⪩⨒∯33231⩘⪩⨒∯1113223⇣⩺⋵⪩⨒∯1320232⋛⪩⨒∯113132⩚⊴⇥(⪲⇎⪩⨒∯1030233⊲⩕⊾⪩⨒∯203120))","cot":[{"info":"⪩⨒∯313112∼⪩⨒∯203302=NaN","layer":3},{"info":"⊙↵-⪩⨒∯1032012=⪩⨒∯-1","layer":3},{"info":"NaN⨪↰⇹⪩⨒∯-1=NaN","layer":2},{"info":"NaN⊓⋫=NaN","layer":1},{"info":"⪩⨒∯33231⩘⪩⨒∯1113223=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1320232⋛⪩⨒∯113132=⪩⨒∯-33103002","layer":3},{"info":"⪩⨒∯2200⇣⩺⋵⪩⨒∯-33103002=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯1030233⊲⩕⊾⪩⨒∯203120=⪩⨒∯-113320312","layer":3},{"info":"⪲⇎⪩⨒∯-113320312=⪩⨒∯-233301230","layer":2},{"info":"⪩⨒∯-10010⩚⊴⇥⪩⨒∯-233301230=⪩⨒∯233303313","layer":1},{"info":"NaN⨔≚≋⪩⨒∯233303313=NaN","layer":0}]}
{"id":331,"expression_no_base_symbol":"($2203$⩌⋺$5603$⩌⋺$1365$⇤$9274$⇼⇔∾(⋃($6124$⪪$1061$)))⪔($4085$≎⪠$3729$≀⩗∶$2414$⨔≚≋$3779$)⊉↱≁((⩦⊞$1302$)⇌⫙⪟($1810$⫸⊐$1113$))","expression":"(⪩⨒∯202123⩌⋺⪩⨒∯1113203⩌⋺⪩⨒∯111111⇤⪩⨒∯2100322⇼⇔∾(⋃(⪩⨒∯1133230⪪⪩⨒∯100211)))⪔(⪩⨒∯333311≎⪠⪩⨒∯322101≀⩗∶⪩⨒∯211232⨔≚≋⪩⨒∯323003)⊉↱≁((⩦⊞⪩⨒∯110112)⇌⫙⪟(⪩⨒∯130102⫸⊐⪩⨒∯101121))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":38593,"operation_count":14,"complexity_ratio":2756.6428571428573,"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":2203,"base":4},"right_expr":{"type":"numeric_atoms","value":5603,"base":4}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1365,"base":4},"right_expr":{"type":"numeric_atoms","value":9274,"base":4}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6124,"base":4},"right_expr":{"type":"numeric_atoms","value":1061,"base":4}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4085,"base":4},"right_expr":{"type":"numeric_atoms","value":3729,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2414,"base":4},"right_expr":{"type":"numeric_atoms","value":3779,"base":4}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1302,"base":4}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1810,"base":4},"right_expr":{"type":"numeric_atoms","value":1113,"base":4}}}}},"used_operators":["GjBEYRfMaF","tifHPKVTfV","g7Hmc5v1ko","YSKBFp38Pu","3mBM5G4a3l","xD69zh8xqp","w2P8NbNXyL","8INZBEW696","aNhz54LH3e","Z57zeUYC9z","AFVx7xoS7T","u7fv1HBiaC","mqXw5SEYmG"],"dependent_operators":["YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","g55IO6H4Gj","FU0Cs4j7VP","JclMnS0uGI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"⪩⨒∯13002","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2203","layer":4},{"info":"number node, value=5603","layer":4},{"info":"compute binary expreesion, left_input=2203, right_input=5603, 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=-7927","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=9274","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=9274, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-50347","layer":3},{"info":"compute binary expreesion, left_input=-7927, right_input=-50347, 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=58153","layer":2},{"info":"number node, value=6124","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=6124, right_input=1061, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-920813","layer":3},{"info":"compute unary expreesion, input=-920813, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-1841524","layer":2},{"info":"compute binary expreesion, left_input=58153, right_input=-1841524, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1899677","layer":1},{"info":"number node, value=4085","layer":4},{"info":"number node, value=3729","layer":4},{"info":"compute binary expreesion, left_input=4085, right_input=3729, 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=2414","layer":4},{"info":"number node, value=3779","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=3779, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=9872, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1029","layer":3},{"info":"number node, value=1810","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=1113, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4327","layer":3},{"info":"compute binary expreesion, left_input=-1029, right_input=4327, 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=0, right_input=113, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-730","layer":1},{"info":"compute binary expreesion, left_input=-1899677, right_input=-730, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯202123⩌⋺⪩⨒∯1113203⩌⋺⪩⨒∯111111⇤⪩⨒∯2100322⇼⇔∾(⋃(⪩⨒∯1133230⪪⪩⨒∯100211)))⪔(⪩⨒∯333311≎⪠⪩⨒∯322101≀⩗∶⪩⨒∯211232⨔≚≋⪩⨒∯323003)⊉↱≁((⩦⊞⪩⨒∯110112)⇌⫙⪟(⪩⨒∯130102⫸⊐⪩⨒∯101121))=⪩⨒∯13002","reverse_text":"⪩⨒∯13002=(⪩⨒∯202123⩌⋺⪩⨒∯1113203⩌⋺⪩⨒∯111111⇤⪩⨒∯2100322⇼⇔∾(⋃(⪩⨒∯1133230⪪⪩⨒∯100211)))⪔(⪩⨒∯333311≎⪠⪩⨒∯322101≀⩗∶⪩⨒∯211232⨔≚≋⪩⨒∯323003)⊉↱≁((⩦⊞⪩⨒∯110112)⇌⫙⪟(⪩⨒∯130102⫸⊐⪩⨒∯101121))","cot":[{"info":"⪩⨒∯202123⩌⋺⪩⨒∯1113203=⪩⨒∯-1323313","layer":3},{"info":"⪩⨒∯111111⇤⪩⨒∯2100322=⪩⨒∯-30102223","layer":3},{"info":"⪩⨒∯-1323313⩌⋺⪩⨒∯-30102223=⪩⨒∯32030221","layer":2},{"info":"⪩⨒∯1133230⪪⪩⨒∯100211=⪩⨒∯-3200303231","layer":3},{"info":"⋃⪩⨒∯-3200303231=⪩⨒∯-13001211310","layer":2},{"info":"⪩⨒∯32030221⇼⇔∾⪩⨒∯-13001211310=⪩⨒∯-13033302131","layer":1},{"info":"⪩⨒∯333311≎⪠⪩⨒∯322101=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯211232⨔≚≋⪩⨒∯323003=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯10301212≀⩗∶⪩⨒∯2122100=⪩⨒∯0","layer":2},{"info":"⩦⊞⪩⨒∯110112=⪩⨒∯-100011","layer":3},{"info":"⪩⨒∯130102⫸⊐⪩⨒∯101121=⪩⨒∯1003213","layer":3},{"info":"⪩⨒∯-100011⇌⫙⪟⪩⨒∯1003213=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯0⊉↱≁⪩⨒∯1301=⪩⨒∯-23122","layer":1},{"info":"⪩⨒∯-13033302131⪔⪩⨒∯-23122=⪩⨒∯13002","layer":0}]}
{"id":332,"expression_no_base_symbol":"((≀↧⇸$4826$⫯⪬∳$1956$)⪛⫼($1633$⇷$1075$)⫁⪎($4291$⊧↖))⨂≜(($1446$∖$3258$)⪝($3883$⨭⪣$4914$)⪔(⫇$3338$⪃⊛⇣$2636$))","expression":"((≀↧⇸⪩⨒∯1023122⫯⪬∳⪩⨒∯132210)⪛⫼(⪩⨒∯121201⇷⪩⨒∯100303)⫁⪎(⪩⨒∯1003003⊧↖))⨂≜((⪩⨒∯112212∖⪩⨒∯302322)⪝(⪩⨒∯330223⨭⪣⪩⨒∯1030302)⪔(⫇⪩⨒∯310022⪃⊛⇣⪩⨒∯221030))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":235540,"operation_count":13,"complexity_ratio":18118.46153846154,"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":4826,"base":4},"right_expr":{"type":"numeric_atoms","value":1956,"base":4}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1633,"base":4},"right_expr":{"type":"numeric_atoms","value":1075,"base":4}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":4291,"base":4}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1446,"base":4},"right_expr":{"type":"numeric_atoms","value":3258,"base":4}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3883,"base":4},"right_expr":{"type":"numeric_atoms","value":4914,"base":4}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3338,"base":4},"right_expr":{"type":"numeric_atoms","value":2636,"base":4}}}}},"used_operators":["k1SHOSEABc","hyuBjUqXlG","ljTHtUsqzn","d7ASUq0ydm","xRrnTEsQ6j","mp7IySMOzn","EKiFHuOFxO","GjBEYRfMaF","wicAB68Tmb","tXD093vOjl","kn8WO9XteQ","YjI8oCXuph","rrgAzCduG9"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","XPYlsWDdGa","23Mk6UjR3U","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4826","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=4826, right_input=1956, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=22207","layer":3},{"info":"compute unary expreesion, input=22207, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=44414","layer":2},{"info":"number node, value=1633","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=1075, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2150","layer":3},{"info":"number node, value=4291","layer":4},{"info":"compute unary expreesion, input=4291, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=110498960","layer":3},{"info":"compute binary expreesion, left_input=2150, right_input=110498960, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-110496810","layer":2},{"info":"compute binary expreesion, left_input=44414, right_input=-110496810, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1825","layer":1},{"info":"number node, value=1446","layer":4},{"info":"number node, value=3258","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=3258, 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=3883","layer":4},{"info":"number node, value=4914","layer":4},{"info":"compute binary expreesion, left_input=3883, right_input=4914, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2604","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2604, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":2},{"info":"number node, value=3338","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=3338, right_input=2636, 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 = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-1254","layer":2},{"info":"compute binary expreesion, left_input=237, right_input=-1254, 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=-1825, right_input=450, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((≀↧⇸⪩⨒∯1023122⫯⪬∳⪩⨒∯132210)⪛⫼(⪩⨒∯121201⇷⪩⨒∯100303)⫁⪎(⪩⨒∯1003003⊧↖))⨂≜((⪩⨒∯112212∖⪩⨒∯302322)⪝(⪩⨒∯330223⨭⪣⪩⨒∯1030302)⪔(⫇⪩⨒∯310022⪃⊛⇣⪩⨒∯221030))=NaN","reverse_text":"NaN=((≀↧⇸⪩⨒∯1023122⫯⪬∳⪩⨒∯132210)⪛⫼(⪩⨒∯121201⇷⪩⨒∯100303)⫁⪎(⪩⨒∯1003003⊧↖))⨂≜((⪩⨒∯112212∖⪩⨒∯302322)⪝(⪩⨒∯330223⨭⪣⪩⨒∯1030302)⪔(⫇⪩⨒∯310022⪃⊛⇣⪩⨒∯221030))","cot":[{"info":"⪩⨒∯1023122⫯⪬∳⪩⨒∯132210=⪩⨒∯11122333","layer":3},{"info":"≀↧⇸⪩⨒∯11122333=⪩⨒∯22311332","layer":2},{"info":"⪩⨒∯121201⇷⪩⨒∯100303=⪩⨒∯201212","layer":3},{"info":"⪩⨒∯1003003⊧↖=⪩⨒∯12211201102100","layer":3},{"info":"⪩⨒∯201212⫁⪎⪩⨒∯12211201102100=⪩⨒∯-12211200300222","layer":2},{"info":"⪩⨒∯22311332⪛⫼⪩⨒∯-12211200300222=⪩⨒∯-130201","layer":1},{"info":"⪩⨒∯112212∖⪩⨒∯302322=⪩⨒∯0","layer":3},{"info":"⪩⨒∯330223⨭⪣⪩⨒∯1030302=⪩⨒∯220230","layer":3},{"info":"⪩⨒∯0⪝⪩⨒∯220230=⪩⨒∯3231","layer":2},{"info":"⪩⨒∯310022⪃⊛⇣⪩⨒∯221030=⪩⨒∯103102","layer":3},{"info":"⫇⪩⨒∯103102=⪩⨒∯-103212","layer":2},{"info":"⪩⨒∯3231⪔⪩⨒∯-103212=⪩⨒∯13002","layer":1},{"info":"⪩⨒∯-130201⨂≜⪩⨒∯13002=NaN","layer":0}]}
{"id":333,"expression_no_base_symbol":"((⇖⫷⫕($2029$*$1059$))∝$1859$∼$1775$∌↝($4306$⨰$1354$))⫲≸⪮(⊬↢(($1580$⪮%⊝$8188$)⨼⩣(≇⪴$2038$)))","expression":"((⇖⫷⫕(⪩⨒∯133231*⪩⨒∯100203))∝⪩⨒∯131003∼⪩⨒∯123233∌↝(⪩⨒∯1003102⨰⪩⨒∯111022))⫲≸⪮(⊬↢((⪩⨒∯120230⪮%⊝⪩⨒∯1333330)⨼⩣(≇⪴⪩⨒∯133312)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":58717,"operation_count":11,"complexity_ratio":5337.909090909091,"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":2029,"base":4},"right_expr":{"type":"numeric_atoms","value":1059,"base":4}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1859,"base":4},"right_expr":{"type":"numeric_atoms","value":1775,"base":4}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4306,"base":4},"right_expr":{"type":"numeric_atoms","value":1354,"base":4}}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1580,"base":4},"right_expr":{"type":"numeric_atoms","value":8188,"base":4}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2038,"base":4}}}}},"used_operators":["P3lXMJvFrc","cTDWOvIxvz","UHmRx3INFg","9HNa5Wba9A","9Isq31Ruls","DyGG3AbaNP","eewbuw0ToL","WPoGxAaPR1","JxwMv5le6e","IWmyXbctLI","zoVPnxeHJ3"],"dependent_operators":["tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","W4YGzv6Whe","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2029","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=2029, right_input=1059, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2148711","layer":3},{"info":"compute unary expreesion, input=2148711, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=1859","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=1775, 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=4306","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=4306, right_input=1354, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2962","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2962, 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":"compute binary expreesion, left_input=2822, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":1},{"info":"number node, value=1580","layer":4},{"info":"number node, value=8188","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=8188, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3476","layer":3},{"info":"number node, value=2038","layer":4},{"info":"compute unary expreesion, input=2038, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-4774","layer":3},{"info":"compute binary expreesion, left_input=3476, right_input=-4774, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(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=nan, right_input=nan, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⇖⫷⫕(⪩⨒∯133231*⪩⨒∯100203))∝⪩⨒∯131003∼⪩⨒∯123233∌↝(⪩⨒∯1003102⨰⪩⨒∯111022))⫲≸⪮(⊬↢((⪩⨒∯120230⪮%⊝⪩⨒∯1333330)⨼⩣(≇⪴⪩⨒∯133312)))=NaN","reverse_text":"NaN=((⇖⫷⫕(⪩⨒∯133231*⪩⨒∯100203))∝⪩⨒∯131003∼⪩⨒∯123233∌↝(⪩⨒∯1003102⨰⪩⨒∯111022))⫲≸⪮(⊬↢((⪩⨒∯120230⪮%⊝⪩⨒∯1333330)⨼⩣(≇⪴⪩⨒∯133312)))","cot":[{"info":"⪩⨒∯133231*⪩⨒∯100203=⪩⨒∯20030211213","layer":3},{"info":"⇖⫷⫕⪩⨒∯20030211213=⪩⨒∯230012","layer":2},{"info":"⪩⨒∯131003∼⪩⨒∯123233=NaN","layer":3},{"info":"⪩⨒∯1003102⨰⪩⨒∯111022=⪩⨒∯232102","layer":3},{"info":"NaN∌↝⪩⨒∯232102=NaN","layer":2},{"info":"⪩⨒∯230012∝NaN=NaN","layer":1},{"info":"⪩⨒∯120230⪮%⊝⪩⨒∯1333330=⪩⨒∯312110","layer":3},{"info":"≇⪴⪩⨒∯133312=⪩⨒∯-1022212","layer":3},{"info":"⪩⨒∯312110⨼⩣⪩⨒∯-1022212=NaN","layer":2},{"info":"⊬↢NaN=NaN","layer":1},{"info":"NaN⫲≸⪮NaN=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"⊈(($8736$⨳⩥⨓$5193$≬⋮$1008$⪢$8264$)⇍⊗($1673$⪕$5553$≀⩗∶$2181$⊉↱≁$1576$))","expression":"⊈((⪩⨒∯2020200⨳⩥⨓⪩⨒∯1101021≬⋮⪩⨒∯33300⪢⪩⨒∯2001020)⇍⊗(⪩⨒∯122021⪕⪩⨒∯1112301≀⩗∶⪩⨒∯202011⊉↱≁⪩⨒∯120220))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8591,"operation_count":8,"complexity_ratio":1073.875,"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":8736,"base":4},"right_expr":{"type":"numeric_atoms","value":5193,"base":4}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1008,"base":4},"right_expr":{"type":"numeric_atoms","value":8264,"base":4}}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1673,"base":4},"right_expr":{"type":"numeric_atoms","value":5553,"base":4}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2181,"base":4},"right_expr":{"type":"numeric_atoms","value":1576,"base":4}}}}},"used_operators":["RHru8klgy8","5uvYHDjeKN","kbkesczE7y","nCS4ZIUYfx","dWAJyo7jo9","8INZBEW696","umQnsF7QlU","w2P8NbNXyL"],"dependent_operators":["12rbrZMWeM","xUOZtlo3hN","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⪩⨒∯1012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8736","layer":4},{"info":"number node, value=5193","layer":4},{"info":"compute binary expreesion, left_input=8736, right_input=5193, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3543","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=8264","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=8264, 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=-3543, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":2},{"info":"number node, value=1673","layer":4},{"info":"number node, value=5553","layer":4},{"info":"compute binary expreesion, left_input=1673, right_input=5553, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=1576, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=12302","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=12302, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=672","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=672, 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 = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=70","layer":0}],"base":4,"result_base":4,"text":"⊈((⪩⨒∯2020200⨳⩥⨓⪩⨒∯1101021≬⋮⪩⨒∯33300⪢⪩⨒∯2001020)⇍⊗(⪩⨒∯122021⪕⪩⨒∯1112301≀⩗∶⪩⨒∯202011⊉↱≁⪩⨒∯120220))=⪩⨒∯1012","reverse_text":"⪩⨒∯1012=⊈((⪩⨒∯2020200⨳⩥⨓⪩⨒∯1101021≬⋮⪩⨒∯33300⪢⪩⨒∯2001020)⇍⊗(⪩⨒∯122021⪕⪩⨒∯1112301≀⩗∶⪩⨒∯202011⊉↱≁⪩⨒∯120220))","cot":[{"info":"⪩⨒∯2020200⨳⩥⨓⪩⨒∯1101021=⪩⨒∯-313113","layer":3},{"info":"⪩⨒∯33300⪢⪩⨒∯2001020=NaN","layer":3},{"info":"⪩⨒∯-313113≬⋮NaN=NaN","layer":2},{"info":"⪩⨒∯122021⪕⪩⨒∯1112301=⪩⨒∯-313","layer":3},{"info":"⪩⨒∯202011⊉↱≁⪩⨒∯120220=⪩⨒∯3000032","layer":3},{"info":"⪩⨒∯-313≀⩗∶⪩⨒∯3000032=⪩⨒∯22200","layer":2},{"info":"NaN⇍⊗⪩⨒∯22200=⪩⨒∯-3310","layer":1},{"info":"⊈⪩⨒∯-3310=⪩⨒∯1012","layer":0}]}
{"id":335,"expression_no_base_symbol":"(≪($2404$≎⪠$7613$⇽⩪))⇼⇔∾(($1133$↱$4216$-(≻⋜$1289$))⩹(≪(⨭⩧⫛$4157$)))","expression":"(≪(⪩⨒∯211210≎⪠⪩⨒∯1312331⇽⩪))⇼⇔∾((⪩⨒∯101231↱⪩⨒∯1001320-(≻⋜⪩⨒∯110021))⩹(≪(⨭⩧⫛⪩⨒∯1000331)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25246,"operation_count":10,"complexity_ratio":2524.6,"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":2404,"base":4},"right_expr":{"type":"numeric_atoms","value":7613,"base":4}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1133,"base":4},"right_expr":{"type":"numeric_atoms","value":4216,"base":4}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1289,"base":4}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":4157,"base":4}}}}},"used_operators":["tifHPKVTfV","Qtd6bqUJcN","FonBHBYJbU","aNhz54LH3e","2Wsdkap16l","rysDP5nf3Z","SR5kFfdi6N","3tj9sqzovi","g21JL6JxX7"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"⪩⨒∯-2","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2404","layer":4},{"info":"number node, value=7613","layer":4},{"info":"compute binary expreesion, left_input=2404, right_input=7613, 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 = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=39638","layer":2},{"info":"compute unary expreesion, input=39638, 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=1133","layer":4},{"info":"number node, value=4216","layer":4},{"info":"compute binary expreesion, left_input=1133, right_input=4216, 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=-12126","layer":3},{"info":"number node, value=1289","layer":4},{"info":"compute unary expreesion, input=1289, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12126, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4157","layer":4},{"info":"compute unary expreesion, input=4157, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=913, 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=911","layer":1},{"info":"compute binary expreesion, left_input=913, right_input=911, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2","layer":0}],"base":4,"result_base":4,"text":"(≪(⪩⨒∯211210≎⪠⪩⨒∯1312331⇽⩪))⇼⇔∾((⪩⨒∯101231↱⪩⨒∯1001320-(≻⋜⪩⨒∯110021))⩹(≪(⨭⩧⫛⪩⨒∯1000331)))=⪩⨒∯-2","reverse_text":"⪩⨒∯-2=(≪(⪩⨒∯211210≎⪠⪩⨒∯1312331⇽⩪))⇼⇔∾((⪩⨒∯101231↱⪩⨒∯1001320-(≻⋜⪩⨒∯110021))⩹(≪(⨭⩧⫛⪩⨒∯1000331)))","cot":[{"info":"⪩⨒∯211210≎⪠⪩⨒∯1312331=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯10301212⇽⩪=⪩⨒∯21223112","layer":2},{"info":"≪⪩⨒∯21223112=⪩⨒∯32101","layer":1},{"info":"⪩⨒∯101231↱⪩⨒∯1001320=⪩⨒∯-2331132","layer":3},{"info":"≻⋜⪩⨒∯110021=NaN","layer":3},{"info":"⪩⨒∯-2331132-NaN=NaN","layer":2},{"info":"⨭⩧⫛⪩⨒∯1000331=NaN","layer":3},{"info":"≪NaN=⪩⨒∯32101","layer":2},{"info":"NaN⩹⪩⨒∯32101=⪩⨒∯32033","layer":1},{"info":"⪩⨒∯32101⇼⇔∾⪩⨒∯32033=⪩⨒∯-2","layer":0}]}
{"id":336,"expression_no_base_symbol":"(⊲⪭(⨑⩽⪐($3470$⇼⇔∾$1208$)))⪃↞⩐","expression":"(⊲⪭(⨑⩽⪐(⪩⨒∯312032⇼⇔∾⪩⨒∯102320)))⪃↞⩐","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":725,"operation_count":4,"complexity_ratio":181.25,"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":3470,"base":4},"right_expr":{"type":"numeric_atoms","value":1208,"base":4}}}}},"used_operators":["grXIztHqDa","k7HXdKtiEU","AF7qkfDlqP","tifHPKVTfV"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","i8ToyICDmI","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯110000213113021","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3470","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=3470, right_input=1208, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2262","layer":3},{"info":"compute unary expreesion, input=-2262, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=5313","layer":2},{"info":"compute unary expreesion, input=5313, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-5487","layer":1},{"info":"compute unary expreesion, input=-5487, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=335705545","layer":0}],"base":4,"result_base":4,"text":"(⊲⪭(⨑⩽⪐(⪩⨒∯312032⇼⇔∾⪩⨒∯102320)))⪃↞⩐=⪩⨒∯110000213113021","reverse_text":"⪩⨒∯110000213113021=(⊲⪭(⨑⩽⪐(⪩⨒∯312032⇼⇔∾⪩⨒∯102320)))⪃↞⩐","cot":[{"info":"⪩⨒∯312032⇼⇔∾⪩⨒∯102320=⪩⨒∯-203112","layer":3},{"info":"⨑⩽⪐⪩⨒∯-203112=⪩⨒∯1103001","layer":2},{"info":"⊲⪭⪩⨒∯1103001=⪩⨒∯-1111233","layer":1},{"info":"⪩⨒∯-1111233⪃↞⩐=⪩⨒∯110000213113021","layer":0}]}
{"id":337,"expression_no_base_symbol":"($7121$≴⪞⇿$1964$+⇶⊼(∤$1371$))⪢($4177$⫉⨲⊜$4891$∠↢(≉$3367$))⨰($2885$⊔$1616$/$1917$⋣⋖$1301$)∴($1220$⨸$2705$⫔⩽⩺($5589$∙∹∝$2837$))","expression":"(⪩⨒∯1233101≴⪞⇿⪩⨒∯132230+⇶⊼(∤⪩⨒∯111123))⪢(⪩⨒∯1001101⫉⨲⊜⪩⨒∯1030123∠↢(≉⪩⨒∯310213))⨰(⪩⨒∯231011⊔⪩⨒∯121100/⪩⨒∯131331⋣⋖⪩⨒∯110111)∴(⪩⨒∯103010⨸⪩⨒∯222101⫔⩽⩺(⪩⨒∯1113111∙∹∝⪩⨒∯230111))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":57387194,"operation_count":15,"complexity_ratio":3825812.933333333,"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":7121,"base":4},"right_expr":{"type":"numeric_atoms","value":1964,"base":4}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":1371,"base":4}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4177,"base":4},"right_expr":{"type":"numeric_atoms","value":4891,"base":4}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3367,"base":4}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2885,"base":4},"right_expr":{"type":"numeric_atoms","value":1616,"base":4}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1917,"base":4},"right_expr":{"type":"numeric_atoms","value":1301,"base":4}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1220,"base":4},"right_expr":{"type":"numeric_atoms","value":2705,"base":4}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5589,"base":4},"right_expr":{"type":"numeric_atoms","value":2837,"base":4}}}}},"used_operators":["eewbuw0ToL","dWAJyo7jo9","TpPTUOHfaN","lvlrscuwVU","k2HlF1dBQh","KbjG8mgYpV","WhqkvtTD3t","e1ybzncUwg","hrf7POJlIJ","XhwjNDsVaA","E4l6HwMY31","J0M6qkBnIM","i9eR4S00cU","KmoU8R5UQR","HmxsFra2vL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","AHs5Up7iyr","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Tw270M8GLb","fu6greOZ01","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7121","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=7121, right_input=1964, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=93790442","layer":3},{"info":"number node, value=1371","layer":4},{"info":"compute unary expreesion, input=1371, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute binary expreesion, left_input=93790442, right_input=9, 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=4177","layer":4},{"info":"number node, value=4891","layer":4},{"info":"compute binary expreesion, left_input=4177, right_input=4891, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3367","layer":4},{"info":"compute unary expreesion, input=3367, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3898","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3898, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-53490","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-53490, 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=2885","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=2885, right_input=1616, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=11450","layer":3},{"info":"number node, value=1917","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=1917, right_input=1301, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1917","layer":3},{"info":"compute binary expreesion, left_input=11450, right_input=1917, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":2},{"info":"number node, value=1220","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=2705, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=2440","layer":3},{"info":"number node, value=5589","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=5589, right_input=2837, 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=2440, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1658","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1658, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1233101≴⪞⇿⪩⨒∯132230+⇶⊼(∤⪩⨒∯111123))⪢(⪩⨒∯1001101⫉⨲⊜⪩⨒∯1030123∠↢(≉⪩⨒∯310213))⨰(⪩⨒∯231011⊔⪩⨒∯121100/⪩⨒∯131331⋣⋖⪩⨒∯110111)∴(⪩⨒∯103010⨸⪩⨒∯222101⫔⩽⩺(⪩⨒∯1113111∙∹∝⪩⨒∯230111))=NaN","reverse_text":"NaN=(⪩⨒∯1233101≴⪞⇿⪩⨒∯132230+⇶⊼(∤⪩⨒∯111123))⪢(⪩⨒∯1001101⫉⨲⊜⪩⨒∯1030123∠↢(≉⪩⨒∯310213))⨰(⪩⨒∯231011⊔⪩⨒∯121100/⪩⨒∯131331⋣⋖⪩⨒∯110111)∴(⪩⨒∯103010⨸⪩⨒∯222101⫔⩽⩺(⪩⨒∯1113111∙∹∝⪩⨒∯230111))","cot":[{"info":"⪩⨒∯1233101≴⪞⇿⪩⨒∯132230=⪩⨒∯11211302003222","layer":3},{"info":"∤⪩⨒∯111123=⪩⨒∯21","layer":3},{"info":"⪩⨒∯11211302003222+⇶⊼⪩⨒∯21=NaN","layer":2},{"info":"⪩⨒∯1001101⫉⨲⊜⪩⨒∯1030123=⪩⨒∯0","layer":3},{"info":"≉⪩⨒∯310213=⪩⨒∯330322","layer":3},{"info":"⪩⨒∯0∠↢⪩⨒∯330322=⪩⨒∯-31003302","layer":2},{"info":"NaN⪢⪩⨒∯-31003302=NaN","layer":1},{"info":"⪩⨒∯231011⊔⪩⨒∯121100=⪩⨒∯2302322","layer":3},{"info":"⪩⨒∯131331⋣⋖⪩⨒∯110111=⪩⨒∯131331","layer":3},{"info":"⪩⨒∯2302322/⪩⨒∯131331=⪩⨒∯11","layer":2},{"info":"⪩⨒∯103010⨸⪩⨒∯222101=⪩⨒∯212020","layer":3},{"info":"⪩⨒∯1113111∙∹∝⪩⨒∯230111=⪩⨒∯0","layer":3},{"info":"⪩⨒∯212020⫔⩽⩺⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯11∴NaN=⪩⨒∯121322","layer":1},{"info":"NaN⨰⪩⨒∯121322=NaN","layer":0}]}
{"id":338,"expression_no_base_symbol":"($1084$⪭≯$2406$)↓($1806$⇯⋐)⨼⩣($4177$∵≐)⪬($2379$⪭$3380$)⊾⪯⋞($6418$↙$1271$∕⩚$4726$⪝$1073$)⫲≸⪮($1641$⨼⩣$5936$⨲)","expression":"(⪩⨒∯100330⪭≯⪩⨒∯211212)↓(⪩⨒∯130032⇯⋐)⨼⩣(⪩⨒∯1001101∵≐)⪬(⪩⨒∯211023⪭⪩⨒∯310310)⊾⪯⋞(⪩⨒∯1210102↙⪩⨒∯103313∕⩚⪩⨒∯1021312⪝⪩⨒∯100301)⫲≸⪮(⪩⨒∯121221⨼⩣⪩⨒∯1130300⨲)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":97340,"operation_count":14,"complexity_ratio":6952.857142857143,"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":1084,"base":4},"right_expr":{"type":"numeric_atoms","value":2406,"base":4}},"right_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1806,"base":4}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":4177,"base":4}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2379,"base":4},"right_expr":{"type":"numeric_atoms","value":3380,"base":4}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6418,"base":4},"right_expr":{"type":"numeric_atoms","value":1271,"base":4}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":4726,"base":4},"right_expr":{"type":"numeric_atoms","value":1073,"base":4}}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1641,"base":4},"right_expr":{"type":"numeric_atoms","value":5936,"base":4}}}}},"used_operators":["HK0tfVPux8","JxwMv5le6e","Af076pWI7l","XAx5wpdLa6","LkLIoiE525","Ez1Nq5fNfI","59igzFyhWz","j9kHMeSvPp","P3lXMJvFrc","z9ffQ9n5Zr","yyfyN0ffXY","wicAB68Tmb","nLYMGWM7L8"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","COABgblf1C","xUOZtlo3hN","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","tmPS8pqC7x","DpFCA1CohY","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1084","layer":4},{"info":"number node, value=2406","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=2406, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=1806","layer":4},{"info":"compute unary expreesion, input=1806, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=6296","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6296, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=4177","layer":4},{"info":"compute unary expreesion, input=4177, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=3231","layer":3},{"info":"number node, value=2379","layer":4},{"info":"number node, value=3380","layer":4},{"info":"compute binary expreesion, left_input=2379, right_input=3380, 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=3231, right_input=5, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=1234, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=6418","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=6418, right_input=1271, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3813","layer":3},{"info":"number node, value=4726","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=4726, right_input=1073, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-15011","layer":3},{"info":"compute binary expreesion, left_input=-3813, right_input=-15011, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":2},{"info":"number node, value=1641","layer":4},{"info":"number node, value=5936","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=5936, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', 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=-487, right_input=4683709, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=487","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=487, 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":4,"result_base":4,"text":"(⪩⨒∯100330⪭≯⪩⨒∯211212)↓(⪩⨒∯130032⇯⋐)⨼⩣(⪩⨒∯1001101∵≐)⪬(⪩⨒∯211023⪭⪩⨒∯310310)⊾⪯⋞(⪩⨒∯1210102↙⪩⨒∯103313∕⩚⪩⨒∯1021312⪝⪩⨒∯100301)⫲≸⪮(⪩⨒∯121221⨼⩣⪩⨒∯1130300⨲)=NaN","reverse_text":"NaN=(⪩⨒∯100330⪭≯⪩⨒∯211212)↓(⪩⨒∯130032⇯⋐)⨼⩣(⪩⨒∯1001101∵≐)⪬(⪩⨒∯211023⪭⪩⨒∯310310)⊾⪯⋞(⪩⨒∯1210102↙⪩⨒∯103313∕⩚⪩⨒∯1021312⪝⪩⨒∯100301)⫲≸⪮(⪩⨒∯121221⨼⩣⪩⨒∯1130300⨲)","cot":[{"info":"⪩⨒∯100330⪭≯⪩⨒∯211212=NaN","layer":3},{"info":"⪩⨒∯130032⇯⋐=⪩⨒∯1202120","layer":3},{"info":"NaN↓⪩⨒∯1202120=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯1001101∵≐=⪩⨒∯302133","layer":3},{"info":"⪩⨒∯211023⪭⪩⨒∯310310=⪩⨒∯11","layer":3},{"info":"⪩⨒∯302133⪬⪩⨒∯11=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯-2012⨼⩣⪩⨒∯103102=NaN","layer":1},{"info":"⪩⨒∯1210102↙⪩⨒∯103313=⪩⨒∯-323211","layer":3},{"info":"⪩⨒∯1021312⪝⪩⨒∯100301=⪩⨒∯-3222203","layer":3},{"info":"⪩⨒∯-323211∕⩚⪩⨒∯-3222203=⪩⨒∯-13213","layer":2},{"info":"⪩⨒∯121221⨼⩣⪩⨒∯1130300=NaN","layer":3},{"info":"NaN⨲=⪩⨒∯101313132331","layer":2},{"info":"⪩⨒∯-13213⫲≸⪮⪩⨒∯101313132331=⪩⨒∯13213","layer":1},{"info":"NaN⊾⪯⋞⪩⨒∯13213=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"$6370$⨻⩈⩔$1553$⫃⨇$2513$⊋≦⊧$1971$/$6051$⋹⋡⊁$1253$⫰⋱$1626$≎⪠$3665$/(⪝⪂⫅$4002$⇤$2351$)⩇∃⫛($2551$⩍⋽⫝̸$2088$)⊕∕($3694$∠⫱$3102$)","expression":"⪩⨒∯1203202⨻⩈⩔⪩⨒∯120101⫃⨇⪩⨒∯213101⊋≦⊧⪩⨒∯132303/⪩⨒∯1132203⋹⋡⊁⪩⨒∯103211⫰⋱⪩⨒∯121122≎⪠⪩⨒∯321101/(⪝⪂⫅⪩⨒∯332202⇤⪩⨒∯210233)⩇∃⫛(⪩⨒∯213313⩍⋽⫝̸⪩⨒∯200220)⊕∕(⪩⨒∯321232∠⫱⪩⨒∯300132)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":81993,"operation_count":14,"complexity_ratio":5856.642857142857,"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":6370,"base":4},"right_expr":{"type":"numeric_atoms","value":1553,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2513,"base":4},"right_expr":{"type":"numeric_atoms","value":1971,"base":4}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6051,"base":4},"right_expr":{"type":"numeric_atoms","value":1253,"base":4}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1626,"base":4},"right_expr":{"type":"numeric_atoms","value":3665,"base":4}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4002,"base":4},"right_expr":{"type":"numeric_atoms","value":2351,"base":4}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2551,"base":4},"right_expr":{"type":"numeric_atoms","value":2088,"base":4}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3694,"base":4},"right_expr":{"type":"numeric_atoms","value":3102,"base":4}}}}},"used_operators":["XhwjNDsVaA","09Ly4LVMIf","nEsXyWgiOK","oRDoc9rAEX","6o9Blt3TJ6","As8RqfVLgs","aNhz54LH3e","1aApVXNlOP","XTarYq4gQB","YSKBFp38Pu","9cloC0Ngie","BiWNJpBvwn","QvoQhV0rrE"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6370","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=6370, right_input=1553, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=42559","layer":3},{"info":"number node, value=2513","layer":4},{"info":"number node, value=1971","layer":4},{"info":"compute binary expreesion, left_input=2513, right_input=1971, 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=-3702","layer":3},{"info":"compute binary expreesion, left_input=42559, right_input=-3702, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=14776","layer":2},{"info":"number node, value=6051","layer":4},{"info":"number node, value=1253","layer":4},{"info":"compute binary expreesion, left_input=6051, right_input=1253, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2003","layer":3},{"info":"number node, value=1626","layer":4},{"info":"number node, value=3665","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=3665, 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=2003, right_input=19558, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1970","layer":2},{"info":"compute binary expreesion, left_input=14776, right_input=-1970, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-8","layer":1},{"info":"number node, value=4002","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=4002, right_input=2351, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-28917","layer":3},{"info":"compute unary expreesion, input=-28917, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=4250799","layer":2},{"info":"number node, value=2551","layer":4},{"info":"number node, value=2088","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=2088, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1142","layer":3},{"info":"number node, value=3694","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=3694, right_input=3102, 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=1142, right_input=1234, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1142","layer":2},{"info":"compute binary expreesion, left_input=4250799, right_input=1142, 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=-4249184","layer":1},{"info":"compute binary expreesion, left_input=-8, right_input=-4249184, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯1203202⨻⩈⩔⪩⨒∯120101⫃⨇⪩⨒∯213101⊋≦⊧⪩⨒∯132303/⪩⨒∯1132203⋹⋡⊁⪩⨒∯103211⫰⋱⪩⨒∯121122≎⪠⪩⨒∯321101/(⪝⪂⫅⪩⨒∯332202⇤⪩⨒∯210233)⩇∃⫛(⪩⨒∯213313⩍⋽⫝̸⪩⨒∯200220)⊕∕(⪩⨒∯321232∠⫱⪩⨒∯300132)=⪩⨒∯0","reverse_text":"⪩⨒∯0=⪩⨒∯1203202⨻⩈⩔⪩⨒∯120101⫃⨇⪩⨒∯213101⊋≦⊧⪩⨒∯132303/⪩⨒∯1132203⋹⋡⊁⪩⨒∯103211⫰⋱⪩⨒∯121122≎⪠⪩⨒∯321101/(⪝⪂⫅⪩⨒∯332202⇤⪩⨒∯210233)⩇∃⫛(⪩⨒∯213313⩍⋽⫝̸⪩⨒∯200220)⊕∕(⪩⨒∯321232∠⫱⪩⨒∯300132)","cot":[{"info":"⪩⨒∯1203202⨻⩈⩔⪩⨒∯120101=⪩⨒∯22120333","layer":3},{"info":"⪩⨒∯213101⊋≦⊧⪩⨒∯132303=⪩⨒∯-321312","layer":3},{"info":"⪩⨒∯22120333⫃⨇⪩⨒∯-321312=⪩⨒∯3212320","layer":2},{"info":"⪩⨒∯1132203⋹⋡⊁⪩⨒∯103211=⪩⨒∯133103","layer":3},{"info":"⪩⨒∯121122≎⪠⪩⨒∯321101=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯133103⫰⋱⪩⨒∯10301212=⪩⨒∯-132302","layer":2},{"info":"⪩⨒∯3212320/⪩⨒∯-132302=⪩⨒∯-20","layer":1},{"info":"⪩⨒∯332202⇤⪩⨒∯210233=⪩⨒∯-13003311","layer":3},{"info":"⪝⪂⫅⪩⨒∯-13003311=⪩⨒∯100031302233","layer":2},{"info":"⪩⨒∯213313⩍⋽⫝̸⪩⨒∯200220=⪩⨒∯101312","layer":3},{"info":"⪩⨒∯321232∠⫱⪩⨒∯300132=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯101312⊕∕⪩⨒∯103102=⪩⨒∯101312","layer":2},{"info":"⪩⨒∯100031302233⩇∃⫛⪩⨒∯101312=⪩⨒∯-100031121200","layer":1},{"info":"⪩⨒∯-20/⪩⨒∯-100031121200=⪩⨒∯0","layer":0}]}
{"id":340,"expression_no_base_symbol":"(↑(($2325$⪭$6717$)≚⊃≕($3924$⫳≱↱$1214$)))∥⊢⊲(($1102$⪮%⊝$1083$)⨟⋌⩍(≋$1395$)⪛($6601$⋻⩜⩜$8477$)⫯⪬∳($1137$⊋≦⊧$2273$))","expression":"(↑((⪩⨒∯210111⪭⪩⨒∯1220331)≚⊃≕(⪩⨒∯331110⫳≱↱⪩⨒∯102332)))∥⊢⊲((⪩⨒∯101032⪮%⊝⪩⨒∯100323)⨟⋌⩍(≋⪩⨒∯111303)⪛(⪩⨒∯1213021⋻⩜⩜⪩⨒∯2010131)⫯⪬∳(⪩⨒∯101301⊋≦⊧⪩⨒∯203201))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":119115,"operation_count":12,"complexity_ratio":9926.25,"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":2325,"base":4},"right_expr":{"type":"numeric_atoms","value":6717,"base":4}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3924,"base":4},"right_expr":{"type":"numeric_atoms","value":1214,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1102,"base":4},"right_expr":{"type":"numeric_atoms","value":1083,"base":4}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1395,"base":4}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":6601,"base":4},"right_expr":{"type":"numeric_atoms","value":8477,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1137,"base":4},"right_expr":{"type":"numeric_atoms","value":2273,"base":4}}}}},"used_operators":["v1UQAVDJRr","tR7O2zTn5j","Bmrmz2XGnR","j9kHMeSvPp","ZvLB05nZmT","uFcxV4UQCh","rGHVDoGpnC","IWmyXbctLI","61wBmkZwlr","d7ASUq0ydm","oDCm7WA9JY","oRDoc9rAEX"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","COABgblf1C","xUOZtlo3hN","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","7j4O788W3g","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2325","layer":4},{"info":"number node, value=6717","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=6717, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3924","layer":4},{"info":"number node, value=1214","layer":4},{"info":"compute binary expreesion, left_input=3924, right_input=1214, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-204, 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 unary expreesion, input=67, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":1},{"info":"number node, value=1102","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1102, right_input=1083, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2520","layer":3},{"info":"number node, value=1395","layer":4},{"info":"compute unary expreesion, input=1395, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1395","layer":3},{"info":"compute binary expreesion, left_input=2520, right_input=1395, 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=6601","layer":4},{"info":"number node, value=8477","layer":4},{"info":"compute binary expreesion, left_input=6601, right_input=8477, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=13202","layer":3},{"info":"number node, value=1137","layer":4},{"info":"number node, value=2273","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=2273, 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=-3170","layer":3},{"info":"compute binary expreesion, left_input=13202, right_input=-3170, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=39673","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=39673, 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=192, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↑((⪩⨒∯210111⪭⪩⨒∯1220331)≚⊃≕(⪩⨒∯331110⫳≱↱⪩⨒∯102332)))∥⊢⊲((⪩⨒∯101032⪮%⊝⪩⨒∯100323)⨟⋌⩍(≋⪩⨒∯111303)⪛(⪩⨒∯1213021⋻⩜⩜⪩⨒∯2010131)⫯⪬∳(⪩⨒∯101301⊋≦⊧⪩⨒∯203201))=NaN","reverse_text":"NaN=(↑((⪩⨒∯210111⪭⪩⨒∯1220331)≚⊃≕(⪩⨒∯331110⫳≱↱⪩⨒∯102332)))∥⊢⊲((⪩⨒∯101032⪮%⊝⪩⨒∯100323)⨟⋌⩍(≋⪩⨒∯111303)⪛(⪩⨒∯1213021⋻⩜⩜⪩⨒∯2010131)⫯⪬∳(⪩⨒∯101301⊋≦⊧⪩⨒∯203201))","cot":[{"info":"⪩⨒∯210111⪭⪩⨒∯1220331=⪩⨒∯11","layer":3},{"info":"⪩⨒∯331110⫳≱↱⪩⨒∯102332=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯11≚⊃≕⪩⨒∯-3030=⪩⨒∯1003","layer":2},{"info":"↑⪩⨒∯1003=⪩⨒∯3000","layer":1},{"info":"⪩⨒∯101032⪮%⊝⪩⨒∯100323=⪩⨒∯213120","layer":3},{"info":"≋⪩⨒∯111303=⪩⨒∯111303","layer":3},{"info":"⪩⨒∯213120⨟⋌⩍⪩⨒∯111303=NaN","layer":2},{"info":"⪩⨒∯1213021⋻⩜⩜⪩⨒∯2010131=⪩⨒∯3032102","layer":3},{"info":"⪩⨒∯101301⊋≦⊧⪩⨒∯203201=⪩⨒∯-301202","layer":3},{"info":"⪩⨒∯3032102⫯⪬∳⪩⨒∯-301202=⪩⨒∯21223321","layer":2},{"info":"NaN⪛⪩⨒∯21223321=NaN","layer":1},{"info":"⪩⨒∯3000∥⊢⊲NaN=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"⨝⨆($3582$⨂≜$1331$⫌⩉⩟$2289$⪔⊥$1205$)≁↽≥($2567$⪛$7152$⋓$1282$∀⇚≩$4981$)","expression":"⨝⨆(⪩⨒∯313332⨂≜⪩⨒∯110303⫌⩉⩟⪩⨒∯203301⪔⊥⪩⨒∯102311)≁↽≥(⪩⨒∯220013⪛⪩⨒∯1233300⋓⪩⨒∯110002∀⇚≩⪩⨒∯1031311)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":47724,"operation_count":8,"complexity_ratio":5965.5,"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":3582,"base":4},"right_expr":{"type":"numeric_atoms","value":1331,"base":4}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2289,"base":4},"right_expr":{"type":"numeric_atoms","value":1205,"base":4}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2567,"base":4},"right_expr":{"type":"numeric_atoms","value":7152,"base":4}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1282,"base":4},"right_expr":{"type":"numeric_atoms","value":4981,"base":4}}}}},"used_operators":["bQ67fsrMVf","ncHt1X6cMc","XIIwhv8d0m","k1SHOSEABc","HJ9erzHUuu","T2fj7uvVaJ","uFcxV4UQCh","LRNGc0VcxI"],"dependent_operators":["tifHPKVTfV","oWn0xqSxBt","3Oe9XWJUTD","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3582","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=3582, right_input=1331, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2289","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=2289, right_input=1205, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=6547","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6547, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2567","layer":4},{"info":"number node, value=7152","layer":4},{"info":"compute binary expreesion, left_input=2567, right_input=7152, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2567","layer":3},{"info":"number node, value=1282","layer":4},{"info":"number node, value=4981","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=4981, 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=2567, 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":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⨝⨆(⪩⨒∯313332⨂≜⪩⨒∯110303⫌⩉⩟⪩⨒∯203301⪔⊥⪩⨒∯102311)≁↽≥(⪩⨒∯220013⪛⪩⨒∯1233300⋓⪩⨒∯110002∀⇚≩⪩⨒∯1031311)=NaN","reverse_text":"NaN=⨝⨆(⪩⨒∯313332⨂≜⪩⨒∯110303⫌⩉⩟⪩⨒∯203301⪔⊥⪩⨒∯102311)≁↽≥(⪩⨒∯220013⪛⪩⨒∯1233300⋓⪩⨒∯110002∀⇚≩⪩⨒∯1031311)","cot":[{"info":"⪩⨒∯313332⨂≜⪩⨒∯110303=NaN","layer":3},{"info":"⪩⨒∯203301⪔⊥⪩⨒∯102311=⪩⨒∯1212103","layer":3},{"info":"NaN⫌⩉⩟⪩⨒∯1212103=⪩⨒∯-302","layer":2},{"info":"⪩⨒∯220013⪛⪩⨒∯1233300=⪩⨒∯220013","layer":3},{"info":"⪩⨒∯110002∀⇚≩⪩⨒∯1031311=NaN","layer":3},{"info":"⪩⨒∯220013⋓NaN=NaN","layer":2},{"info":"⪩⨒∯-302≁↽≥NaN=NaN","layer":1},{"info":"⨝⨆NaN=NaN","layer":0}]}
{"id":342,"expression_no_base_symbol":"(($1119$↱$1246$)∠↢$1666$∋$6039$*($1101$⫳≱↱$3611$⩹$2286$⪛$7116$))⨸(⨂⪏⇭(($1165$⪐)⨔≚≋($1705$⩹$1178$)))","expression":"((⪩⨒∯101133↱⪩⨒∯103132)∠↢⪩⨒∯122002∋⪩⨒∯1132113*(⪩⨒∯101031⫳≱↱⪩⨒∯320123⩹⪩⨒∯203232⪛⪩⨒∯1233030))⨸(⨂⪏⇭((⪩⨒∯102031⪐)⨔≚≋(⪩⨒∯122221⩹⪩⨒∯102122)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2972,"operation_count":12,"complexity_ratio":247.66666666666666,"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":1119,"base":4},"right_expr":{"type":"numeric_atoms","value":1246,"base":4}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1666,"base":4},"right_expr":{"type":"numeric_atoms","value":6039,"base":4}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1101,"base":4},"right_expr":{"type":"numeric_atoms","value":3611,"base":4}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2286,"base":4},"right_expr":{"type":"numeric_atoms","value":7116,"base":4}}}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1165,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1705,"base":4},"right_expr":{"type":"numeric_atoms","value":1178,"base":4}}}}},"used_operators":["KmoU8R5UQR","9HNa5Wba9A","KbjG8mgYpV","SR5kFfdi6N","ukq6epAj5P","2Wsdkap16l","ZvLB05nZmT","uFcxV4UQCh","AYdpE9sXAk","Z57zeUYC9z","eH2TOUuTDT"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=1246, 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=-3216","layer":3},{"info":"number node, value=1666","layer":4},{"info":"number node, value=6039","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=6039, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=12545768","layer":3},{"info":"compute binary expreesion, left_input=-3216, right_input=12545768, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-175626806","layer":2},{"info":"number node, value=1101","layer":4},{"info":"number node, value=3611","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=3611, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=7116","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=7116, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2286","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=2286, 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=2284","layer":2},{"info":"compute binary expreesion, left_input=-175626806, right_input=2284, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":1},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2330","layer":3},{"info":"number node, value=1705","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=1178, 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=1176","layer":3},{"info":"compute binary expreesion, left_input=2330, right_input=1176, 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 = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=28637","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=28637, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯101133↱⪩⨒∯103132)∠↢⪩⨒∯122002∋⪩⨒∯1132113*(⪩⨒∯101031⫳≱↱⪩⨒∯320123⩹⪩⨒∯203232⪛⪩⨒∯1233030))⨸(⨂⪏⇭((⪩⨒∯102031⪐)⨔≚≋(⪩⨒∯122221⩹⪩⨒∯102122)))=NaN","reverse_text":"NaN=((⪩⨒∯101133↱⪩⨒∯103132)∠↢⪩⨒∯122002∋⪩⨒∯1132113*(⪩⨒∯101031⫳≱↱⪩⨒∯320123⩹⪩⨒∯203232⪛⪩⨒∯1233030))⨸(⨂⪏⇭((⪩⨒∯102031⪐)⨔≚≋(⪩⨒∯122221⩹⪩⨒∯102122)))","cot":[{"info":"⪩⨒∯101133↱⪩⨒∯103132=⪩⨒∯-302100","layer":3},{"info":"⪩⨒∯122002∋⪩⨒∯1132113=⪩⨒∯233312323220","layer":3},{"info":"⪩⨒∯-302100∠↢⪩⨒∯233312323220=⪩⨒∯-22131331220312","layer":2},{"info":"⪩⨒∯101031⫳≱↱⪩⨒∯320123=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯203232⪛⪩⨒∯1233030=⪩⨒∯203232","layer":3},{"info":"⪩⨒∯-3030⩹⪩⨒∯203232=⪩⨒∯203230","layer":2},{"info":"⪩⨒∯-22131331220312*⪩⨒∯203230=-Inf","layer":1},{"info":"⪩⨒∯102031⪐=⪩⨒∯210122","layer":3},{"info":"⪩⨒∯122221⩹⪩⨒∯102122=⪩⨒∯102120","layer":3},{"info":"⪩⨒∯210122⨔≚≋⪩⨒∯102120=⪩⨒∯2122100","layer":2},{"info":"⨂⪏⇭⪩⨒∯2122100=⪩⨒∯12333131","layer":1},{"info":"-Inf⨸⪩⨒∯12333131=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"(((⊈$1099$)⨒$1350$⪬$1438$)⨥⫆($4899$⊋$3254$⪘⫢($5550$⊅)))↤⩊(⇨$6529$⊕∕$2211$∴$1120$⋹⋡⊁$2208$)","expression":"(((⊈⪩⨒∯101023)⨒⪩⨒∯111012⪬⪩⨒∯112132)⨥⫆(⪩⨒∯1030203⊋⪩⨒∯302312⪘⫢(⪩⨒∯1112232⊅)))↤⩊(⇨⪩⨒∯1212001⊕∕⪩⨒∯202203∴⪩⨒∯101200⋹⋡⊁⪩⨒∯202200)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":66845,"operation_count":12,"complexity_ratio":5570.416666666667,"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":1099,"base":4}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1350,"base":4},"right_expr":{"type":"numeric_atoms","value":1438,"base":4}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":4899,"base":4},"right_expr":{"type":"numeric_atoms","value":3254,"base":4}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":5550,"base":4}}}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":6529,"base":4},"right_expr":{"type":"numeric_atoms","value":2211,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1120,"base":4},"right_expr":{"type":"numeric_atoms","value":2208,"base":4}}}}},"used_operators":["13rbtpv6ld","yXekIHxTD4","y75s1iXyHd","RHru8klgy8","Ez1Nq5fNfI","oacrs7FA3X","W4tP9CfskL","7p6YLioM7f","G9tJMlZ94a","hrf7POJlIJ","9cloC0Ngie","As8RqfVLgs"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","12rbrZMWeM","xUOZtlo3hN","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","k8jYdgA6NY","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1273","layer":3},{"info":"number node, value=1350","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=1438, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"compute binary expreesion, left_input=-1273, right_input=1234, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"number node, value=4899","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=4899, right_input=3254, 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=42753392","layer":3},{"info":"number node, value=5550","layer":4},{"info":"compute unary expreesion, input=5550, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=42753392, right_input=-174, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=0, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":1},{"info":"number node, value=6529","layer":4},{"info":"number node, value=2211","layer":4},{"info":"compute binary expreesion, left_input=6529, right_input=2211, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=6529","layer":3},{"info":"number node, value=1120","layer":4},{"info":"number node, value=2208","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=2208, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2958","layer":3},{"info":"compute binary expreesion, left_input=6529, right_input=2958, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=14706","layer":2},{"info":"compute unary expreesion, input=14706, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, 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":4,"result_base":4,"text":"(((⊈⪩⨒∯101023)⨒⪩⨒∯111012⪬⪩⨒∯112132)⨥⫆(⪩⨒∯1030203⊋⪩⨒∯302312⪘⫢(⪩⨒∯1112232⊅)))↤⩊(⇨⪩⨒∯1212001⊕∕⪩⨒∯202203∴⪩⨒∯101200⋹⋡⊁⪩⨒∯202200)=NaN","reverse_text":"NaN=(((⊈⪩⨒∯101023)⨒⪩⨒∯111012⪬⪩⨒∯112132)⨥⫆(⪩⨒∯1030203⊋⪩⨒∯302312⪘⫢(⪩⨒∯1112232⊅)))↤⩊(⇨⪩⨒∯1212001⊕∕⪩⨒∯202203∴⪩⨒∯101200⋹⋡⊁⪩⨒∯202200)","cot":[{"info":"⊈⪩⨒∯101023=⪩⨒∯-103321","layer":3},{"info":"⪩⨒∯111012⪬⪩⨒∯112132=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-103321⨒⪩⨒∯103102=⪩⨒∯1","layer":2},{"info":"⪩⨒∯1030203⊋⪩⨒∯302312=⪩⨒∯2203011311300","layer":3},{"info":"⪩⨒∯1112232⊅=⪩⨒∯-2232","layer":3},{"info":"⪩⨒∯2203011311300⪘⫢⪩⨒∯-2232=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1⨥⫆⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1212001⊕∕⪩⨒∯202203=⪩⨒∯1212001","layer":3},{"info":"⪩⨒∯101200⋹⋡⊁⪩⨒∯202200=⪩⨒∯232032","layer":3},{"info":"⪩⨒∯1212001∴⪩⨒∯232032=⪩⨒∯3211302","layer":2},{"info":"⇨⪩⨒∯3211302=⪩⨒∯0","layer":1},{"info":"⪩⨒∯0↤⩊⪩⨒∯0=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"(($4323$≒∊$4285$⩎⪣⊞)⊍⩺⋍($3044$⨶)⪇≇⋚($1118$⩹$2477$))⇂≾⫗($6849$⇄$1415$⪇≇⋚(⨞⊢$2141$)⫡⨏($5145$⇮⋭$3119$)⊋≦⊧$4666$≴⪞⇿$5970$)","expression":"((⪩⨒∯1003203≒∊⪩⨒∯1002331⩎⪣⊞)⊍⩺⋍(⪩⨒∯233210⨶)⪇≇⋚(⪩⨒∯101132⩹⪩⨒∯212231))⇂≾⫗(⪩⨒∯1223001⇄⪩⨒∯112013⪇≇⋚(⨞⊢⪩⨒∯201131)⫡⨏(⪩⨒∯1100121⇮⋭⪩⨒∯300233)⊋≦⊧⪩⨒∯1020322≴⪞⇿⪩⨒∯1131102)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":58582,"operation_count":14,"complexity_ratio":4184.428571428572,"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":4323,"base":4},"right_expr":{"type":"numeric_atoms","value":4285,"base":4}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":3044,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1118,"base":4},"right_expr":{"type":"numeric_atoms","value":2477,"base":4}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":6849,"base":4},"right_expr":{"type":"numeric_atoms","value":1415,"base":4}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2141,"base":4}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":5145,"base":4},"right_expr":{"type":"numeric_atoms","value":3119,"base":4}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4666,"base":4},"right_expr":{"type":"numeric_atoms","value":5970,"base":4}}}}},"used_operators":["aBQ6xLxuTc","OXDGMFPWZM","waWucp1uQ4","5KTvxBwnZo","3sJ7IOPOlU","rFxw8gIMmB","2Wsdkap16l","QMFrweE19q","3EYGwJThht","xUOZtlo3hN","oRDoc9rAEX","vkpjKywKVM","lvlrscuwVU"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","mp7IySMOzn","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","f6k1SAg4EE","Qy55tPpLXF","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4323","layer":4},{"info":"number node, value=4285","layer":4},{"info":"compute binary expreesion, left_input=4323, right_input=4285, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3839","layer":3},{"info":"compute unary expreesion, input=-3839, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"number node, value=3044","layer":4},{"info":"compute unary expreesion, input=3044, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=4342","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=2477","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=2477, 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=2475","layer":3},{"info":"compute binary expreesion, left_input=4342, right_input=2475, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=6849","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=6849, right_input=1415, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2141","layer":4},{"info":"compute unary expreesion, input=2141, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2315","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2315, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=5145","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=5145, right_input=3119, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=4666","layer":4},{"info":"number node, value=5970","layer":4},{"info":"compute binary expreesion, left_input=4666, right_input=5970, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=38597132","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=38597132, 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=0, right_input=192, 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=1167","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1167, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1003203≒∊⪩⨒∯1002331⩎⪣⊞)⊍⩺⋍(⪩⨒∯233210⨶)⪇≇⋚(⪩⨒∯101132⩹⪩⨒∯212231))⇂≾⫗(⪩⨒∯1223001⇄⪩⨒∯112013⪇≇⋚(⨞⊢⪩⨒∯201131)⫡⨏(⪩⨒∯1100121⇮⋭⪩⨒∯300233)⊋≦⊧⪩⨒∯1020322≴⪞⇿⪩⨒∯1131102)=NaN","reverse_text":"NaN=((⪩⨒∯1003203≒∊⪩⨒∯1002331⩎⪣⊞)⊍⩺⋍(⪩⨒∯233210⨶)⪇≇⋚(⪩⨒∯101132⩹⪩⨒∯212231))⇂≾⫗(⪩⨒∯1223001⇄⪩⨒∯112013⪇≇⋚(⨞⊢⪩⨒∯201131)⫡⨏(⪩⨒∯1100121⇮⋭⪩⨒∯300233)⊋≦⊧⪩⨒∯1020322≴⪞⇿⪩⨒∯1131102)","cot":[{"info":"⪩⨒∯1003203≒∊⪩⨒∯1002331=⪩⨒∯-323333","layer":3},{"info":"⪩⨒∯-323333⩎⪣⊞=NaN","layer":2},{"info":"⪩⨒∯233210⨶=⪩⨒∯1003312","layer":3},{"info":"⪩⨒∯101132⩹⪩⨒∯212231=⪩⨒∯212223","layer":3},{"info":"⪩⨒∯1003312⪇≇⋚⪩⨒∯212223=⪩⨒∯0","layer":2},{"info":"NaN⊍⩺⋍⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯1223001⇄⪩⨒∯112013=⪩⨒∯0","layer":3},{"info":"⨞⊢⪩⨒∯201131=⪩⨒∯-210023","layer":3},{"info":"⪩⨒∯0⪇≇⋚⪩⨒∯-210023=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1100121⇮⋭⪩⨒∯300233=⪩⨒∯-13121","layer":3},{"info":"⪩⨒∯1020322≴⪞⇿⪩⨒∯1131102=⪩⨒∯2103033020030","layer":3},{"info":"⪩⨒∯-13121⊋≦⊧⪩⨒∯2103033020030=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯0⫡⨏⪩⨒∯3000=⪩⨒∯102033","layer":1},{"info":"NaN⇂≾⫗⪩⨒∯102033=NaN","layer":0}]}
{"id":345,"expression_no_base_symbol":"⊽(⩒∊($1390$⪘⫢$1019$⫸⇳$3911$≀⫉$1516$))","expression":"⊽(⩒∊(⪩⨒∯111232⪘⫢⪩⨒∯33323⫸⇳⪩⨒∯331013≀⫉⪩⨒∯113230))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":207,"operation_count":5,"complexity_ratio":41.4,"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":1390,"base":4},"right_expr":{"type":"numeric_atoms","value":1019,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3911,"base":4},"right_expr":{"type":"numeric_atoms","value":1516,"base":4}}}}},"used_operators":["QxG7OkqoLX","qazvmhNBbN","gx7XJ7hdpj","oacrs7FA3X","oZj3VtZNQx"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1390","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=1019, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2656","layer":3},{"info":"number node, value=3911","layer":4},{"info":"number node, value=1516","layer":4},{"info":"compute binary expreesion, left_input=3911, right_input=1516, 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=2656, right_input=2822, 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 unary expreesion, input=0, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1273","layer":1},{"info":"compute unary expreesion, input=-1273, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"⊽(⩒∊(⪩⨒∯111232⪘⫢⪩⨒∯33323⫸⇳⪩⨒∯331013≀⫉⪩⨒∯113230))=⪩⨒∯0","reverse_text":"⪩⨒∯0=⊽(⩒∊(⪩⨒∯111232⪘⫢⪩⨒∯33323⫸⇳⪩⨒∯331013≀⫉⪩⨒∯113230))","cot":[{"info":"⪩⨒∯111232⪘⫢⪩⨒∯33323=⪩⨒∯221200","layer":3},{"info":"⪩⨒∯331013≀⫉⪩⨒∯113230=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯221200⫸⇳⪩⨒∯230012=⪩⨒∯0","layer":2},{"info":"⩒∊⪩⨒∯0=⪩⨒∯-103321","layer":1},{"info":"⊽⪩⨒∯-103321=⪩⨒∯0","layer":0}]}
{"id":346,"expression_no_base_symbol":"⩪∧⨌(($5659$+$1816$)⊴⇁⪶)⩖⊿(↘($4667$≄⊠$1728$))","expression":"⩪∧⨌((⪩⨒∯1120123+⪩⨒∯130120)⊴⇁⪶)⩖⊿(↘(⪩⨒∯1020323≄⊠⪩⨒∯123000))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7811,"operation_count":6,"complexity_ratio":1301.8333333333333,"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":5659,"base":4},"right_expr":{"type":"numeric_atoms","value":1816,"base":4}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":4667,"base":4},"right_expr":{"type":"numeric_atoms","value":1728,"base":4}}}}},"used_operators":["6iOiAJX1F8","RZ5CV9rWsJ","oo9mF6JIpo","W4YGzv6Whe","LdNpr8hQHL","vXNesLlMH1"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","uFcxV4UQCh","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⪩⨒∯-113313310110","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5659","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=5659, right_input=1816, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7475","layer":3},{"info":"compute unary expreesion, input=7475, 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=156772","layer":2},{"info":"number node, value=4667","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=4667, right_input=1728, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=32316","layer":3},{"info":"compute unary expreesion, input=32316, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=172","layer":2},{"info":"compute binary expreesion, left_input=156772, right_input=172, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-625794","layer":1},{"info":"compute unary expreesion, input=-625794, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-6257940","layer":0}],"base":4,"result_base":4,"text":"⩪∧⨌((⪩⨒∯1120123+⪩⨒∯130120)⊴⇁⪶)⩖⊿(↘(⪩⨒∯1020323≄⊠⪩⨒∯123000))=⪩⨒∯-113313310110","reverse_text":"⪩⨒∯-113313310110=⩪∧⨌((⪩⨒∯1120123+⪩⨒∯130120)⊴⇁⪶)⩖⊿(↘(⪩⨒∯1020323≄⊠⪩⨒∯123000))","cot":[{"info":"⪩⨒∯1120123+⪩⨒∯130120=⪩⨒∯1310303","layer":3},{"info":"⪩⨒∯1310303⊴⇁⪶=⪩⨒∯212101210","layer":2},{"info":"⪩⨒∯1020323≄⊠⪩⨒∯123000=⪩⨒∯13320330","layer":3},{"info":"↘⪩⨒∯13320330=⪩⨒∯2230","layer":2},{"info":"⪩⨒∯212101210⩖⊿⪩⨒∯2230=⪩⨒∯-2120302002","layer":1},{"info":"⩪∧⨌⪩⨒∯-2120302002=⪩⨒∯-113313310110","layer":0}]}
{"id":347,"expression_no_base_symbol":"(⪡⇡≛(($1147$⨽$1756$)⪨⊡(⊿$4748$)))⪕(↡($5862$∖$2030$))∇⊂⋱(($1022$⋛$3085$)⇪⋭)","expression":"(⪡⇡≛((⪩⨒∯101323⨽⪩⨒∯123130)⪨⊡(⊿⪩⨒∯1022030)))⪕(↡(⪩⨒∯1123212∖⪩⨒∯133232))∇⊂⋱((⪩⨒∯33332⋛⪩⨒∯300031)⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1897,"operation_count":10,"complexity_ratio":189.7,"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":1147,"base":4},"right_expr":{"type":"numeric_atoms","value":1756,"base":4}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":4748,"base":4}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5862,"base":4},"right_expr":{"type":"numeric_atoms","value":2030,"base":4}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1022,"base":4},"right_expr":{"type":"numeric_atoms","value":3085,"base":4}}}}},"used_operators":["umQnsF7QlU","qL4PrbW1Dq","kuIXHzHcAH","8HhzD0ZcuI","DO4fhlbJSI","nhYeJWJD5X","MXaNJeIAZ3","tXD093vOjl","Z8Yg6dlDSp","YbUVn0Rbpy"],"dependent_operators":["P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⪩⨒∯32213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1756, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3950781","layer":3},{"info":"number node, value=4748","layer":4},{"info":"compute unary expreesion, input=4748, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-19730","layer":3},{"info":"compute binary expreesion, left_input=-3950781, right_input=-19730, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=79709","layer":2},{"info":"compute unary expreesion, input=79709, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-79709","layer":1},{"info":"number node, value=5862","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=5862, right_input=2030, 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 = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=1022","layer":4},{"info":"number node, value=3085","layer":4},{"info":"compute binary expreesion, left_input=1022, right_input=3085, 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=-122994","layer":3},{"info":"compute unary expreesion, input=-122994, 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 = 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=-79709, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":0}],"base":4,"result_base":4,"text":"(⪡⇡≛((⪩⨒∯101323⨽⪩⨒∯123130)⪨⊡(⊿⪩⨒∯1022030)))⪕(↡(⪩⨒∯1123212∖⪩⨒∯133232))∇⊂⋱((⪩⨒∯33332⋛⪩⨒∯300031)⇪⋭)=⪩⨒∯32213","reverse_text":"⪩⨒∯32213=(⪡⇡≛((⪩⨒∯101323⨽⪩⨒∯123130)⪨⊡(⊿⪩⨒∯1022030)))⪕(↡(⪩⨒∯1123212∖⪩⨒∯133232))∇⊂⋱((⪩⨒∯33332⋛⪩⨒∯300031)⇪⋭)","cot":[{"info":"⪩⨒∯101323⨽⪩⨒∯123130=⪩⨒∯-33010202331","layer":3},{"info":"⊿⪩⨒∯1022030=⪩⨒∯-10310102","layer":3},{"info":"⪩⨒∯-33010202331⪨⊡⪩⨒∯-10310102=⪩⨒∯103131131","layer":2},{"info":"⪡⇡≛⪩⨒∯103131131=⪩⨒∯-103131131","layer":1},{"info":"⪩⨒∯1123212∖⪩⨒∯133232=⪩⨒∯0","layer":3},{"info":"↡⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯33332⋛⪩⨒∯300031=⪩⨒∯-132001302","layer":3},{"info":"⪩⨒∯-132001302⇪⋭=NaN","layer":2},{"info":"⪩⨒∯0∇⊂⋱NaN=NaN","layer":1},{"info":"⪩⨒∯-103131131⪕NaN=⪩⨒∯32213","layer":0}]}
{"id":348,"expression_no_base_symbol":"(($1180$⩘$2222$⨽($2691$⪊≅))⨚(($2055$↱$1156$)⨒$2375$+⇶⊼$2008$))∘(($1619$∣$3191$≋⫹)∙⊟($3838$⫻⋑⊟)⊹∫⫚$1877$⪎↠$4864$)","expression":"((⪩⨒∯102130⩘⪩⨒∯202232⨽(⪩⨒∯222003⪊≅))⨚((⪩⨒∯200013↱⪩⨒∯102010)⨒⪩⨒∯211013+⇶⊼⪩⨒∯133120))∘((⪩⨒∯121103∣⪩⨒∯301313≋⫹)∙⊟(⪩⨒∯323332⫻⋑⊟)⊹∫⫚⪩⨒∯131111⪎↠⪩⨒∯1030000)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3692,"operation_count":14,"complexity_ratio":263.7142857142857,"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":1180,"base":4},"right_expr":{"type":"numeric_atoms","value":2222,"base":4}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":2691,"base":4}}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2055,"base":4},"right_expr":{"type":"numeric_atoms","value":1156,"base":4}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2375,"base":4},"right_expr":{"type":"numeric_atoms","value":2008,"base":4}}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1619,"base":4},"right_expr":{"type":"numeric_atoms","value":3191,"base":4}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":3838,"base":4}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":1877,"base":4},"right_expr":{"type":"numeric_atoms","value":4864,"base":4}}}}},"used_operators":["Z5m6OM72h2","nREPSIbpBE","8HhzD0ZcuI","cHh1gJQ2o6","bjFbhXSADs","y75s1iXyHd","SR5kFfdi6N","TpPTUOHfaN","SxTAKzQCrw","N41Kp7NANJ","PPChnnnBFF","uWAJUKEvyW","o575Zjdmzy","3tVxb0NHM4"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","BjRHVeLaeN","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","AHs5Up7iyr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=2222, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2691","layer":4},{"info":"compute unary expreesion, input=2691, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-75486","layer":2},{"info":"number node, value=2055","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=1156, 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=-2946","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=2008","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=2008, 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=-2946, right_input=nan, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-75486, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"number node, value=1619","layer":4},{"info":"number node, value=3191","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=3191, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1619","layer":3},{"info":"compute unary expreesion, input=1619, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3238","layer":2},{"info":"number node, value=3838","layer":4},{"info":"compute unary expreesion, input=3838, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-7166","layer":3},{"info":"number node, value=1877","layer":4},{"info":"number node, value=4864","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=4864, 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=-7166, right_input=160, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-152","layer":2},{"info":"compute binary expreesion, left_input=-3238, right_input=-152, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=57838","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=57838, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯102130⩘⪩⨒∯202232⨽(⪩⨒∯222003⪊≅))⨚((⪩⨒∯200013↱⪩⨒∯102010)⨒⪩⨒∯211013+⇶⊼⪩⨒∯133120))∘((⪩⨒∯121103∣⪩⨒∯301313≋⫹)∙⊟(⪩⨒∯323332⫻⋑⊟)⊹∫⫚⪩⨒∯131111⪎↠⪩⨒∯1030000)=NaN","reverse_text":"NaN=((⪩⨒∯102130⩘⪩⨒∯202232⨽(⪩⨒∯222003⪊≅))⨚((⪩⨒∯200013↱⪩⨒∯102010)⨒⪩⨒∯211013+⇶⊼⪩⨒∯133120))∘((⪩⨒∯121103∣⪩⨒∯301313≋⫹)∙⊟(⪩⨒∯323332⫻⋑⊟)⊹∫⫚⪩⨒∯131111⪎↠⪩⨒∯1030000)","cot":[{"info":"⪩⨒∯102130⩘⪩⨒∯202232=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯222003⪊≅=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2200⨽⪩⨒∯0=⪩⨒∯-102123132","layer":2},{"info":"⪩⨒∯200013↱⪩⨒∯102010=⪩⨒∯-232002","layer":3},{"info":"⪩⨒∯211013+⇶⊼⪩⨒∯133120=NaN","layer":3},{"info":"⪩⨒∯-232002⨒NaN=NaN","layer":2},{"info":"⪩⨒∯-102123132⨚NaN=NaN","layer":1},{"info":"⪩⨒∯121103∣⪩⨒∯301313=⪩⨒∯121103","layer":3},{"info":"⪩⨒∯121103≋⫹=⪩⨒∯-302212","layer":2},{"info":"⪩⨒∯323332⫻⋑⊟=⪩⨒∯-1233332","layer":3},{"info":"⪩⨒∯131111⪎↠⪩⨒∯1030000=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-1233332⊹∫⫚⪩⨒∯2200=⪩⨒∯-2120","layer":2},{"info":"⪩⨒∯-302212∙⊟⪩⨒∯-2120=⪩⨒∯32013232","layer":1},{"info":"NaN∘⪩⨒∯32013232=NaN","layer":0}]}
{"id":349,"expression_no_base_symbol":"($3048$⫯⪬∳$1291$∀⇚≩($2224$⫚↹⊑$6064$)⪒($1429$∲⫓$2971$)⊔($8321$≳⇉$8367$))⫸⇳(⨞⊢$2835$≦↸$2352$)⇷($6582$⨂≜$2111$⪓⨏)","expression":"(⪩⨒∯233220⫯⪬∳⪩⨒∯110023∀⇚≩(⪩⨒∯202300⫚↹⊑⪩⨒∯1132300)⪒(⪩⨒∯112111∲⫓⪩⨒∯232123)⊔(⪩⨒∯2002001≳⇉⪩⨒∯2002233))⫸⇳(⨞⊢⪩⨒∯230103≦↸⪩⨒∯210300)⇷(⪩⨒∯1212312⨂≜⪩⨒∯200333⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":254807,"operation_count":13,"complexity_ratio":19600.53846153846,"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":3048,"base":4},"right_expr":{"type":"numeric_atoms","value":1291,"base":4}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2224,"base":4},"right_expr":{"type":"numeric_atoms","value":6064,"base":4}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1429,"base":4},"right_expr":{"type":"numeric_atoms","value":2971,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":8321,"base":4},"right_expr":{"type":"numeric_atoms","value":8367,"base":4}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2835,"base":4},"right_expr":{"type":"numeric_atoms","value":2352,"base":4}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":6582,"base":4},"right_expr":{"type":"numeric_atoms","value":2111,"base":4}}}}},"used_operators":["gx7XJ7hdpj","f6k1SAg4EE","LRNGc0VcxI","d7ASUq0ydm","dfKe02y8D2","E4l6HwMY31","i8ToyICDmI","V0kx6qeWkN","mp7IySMOzn","xUOZtlo3hN","RygbFNSyEJ","4X9JU4Jbn6","k1SHOSEABc"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3048","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=3048, right_input=1291, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=13982","layer":3},{"info":"number node, value=2224","layer":4},{"info":"number node, value=6064","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=6064, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=13982, right_input=-447, 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=1429","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=2971, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=8321","layer":4},{"info":"number node, value=8367","layer":4},{"info":"compute binary expreesion, left_input=8321, right_input=8367, 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=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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2835","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=2835, right_input=2352, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-9693","layer":3},{"info":"compute unary expreesion, input=-9693, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=9519","layer":2},{"info":"number node, value=6582","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=6582, right_input=2111, 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 = 4X9JU4Jbn6, unary_op_definition = 'a⪓⨏ = { (((⨣⨃⇪a)≭(a⊊))⫢⨠((a⪇≇⋚a)⩘(413≥⨤⩑a))) , if (⇁⨣⪵a)<1 ; ((⋗⩴⪓(191∧))⫢⨠(⨛(a⊴a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9519, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+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":4,"result_base":4,"text":"(⪩⨒∯233220⫯⪬∳⪩⨒∯110023∀⇚≩(⪩⨒∯202300⫚↹⊑⪩⨒∯1132300)⪒(⪩⨒∯112111∲⫓⪩⨒∯232123)⊔(⪩⨒∯2002001≳⇉⪩⨒∯2002233))⫸⇳(⨞⊢⪩⨒∯230103≦↸⪩⨒∯210300)⇷(⪩⨒∯1212312⨂≜⪩⨒∯200333⪓⨏)=NaN","reverse_text":"NaN=(⪩⨒∯233220⫯⪬∳⪩⨒∯110023∀⇚≩(⪩⨒∯202300⫚↹⊑⪩⨒∯1132300)⪒(⪩⨒∯112111∲⫓⪩⨒∯232123)⊔(⪩⨒∯2002001≳⇉⪩⨒∯2002233))⫸⇳(⨞⊢⪩⨒∯230103≦↸⪩⨒∯210300)⇷(⪩⨒∯1212312⨂≜⪩⨒∯200333⪓⨏)","cot":[{"info":"⪩⨒∯233220⫯⪬∳⪩⨒∯110023=⪩⨒∯3122132","layer":3},{"info":"⪩⨒∯202300⫚↹⊑⪩⨒∯1132300=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯3122132∀⇚≩⪩⨒∯-12333=NaN","layer":2},{"info":"⪩⨒∯112111∲⫓⪩⨒∯232123=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2002001≳⇉⪩⨒∯2002233=NaN","layer":3},{"info":"⪩⨒∯0⊔NaN=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⪩⨒∯230103≦↸⪩⨒∯210300=⪩⨒∯-2113131","layer":3},{"info":"⨞⊢⪩⨒∯-2113131=⪩⨒∯2110233","layer":2},{"info":"⪩⨒∯1212312⨂≜⪩⨒∯200333=NaN","layer":3},{"info":"NaN⪓⨏=NaN","layer":2},{"info":"⪩⨒∯2110233⇷NaN=NaN","layer":1},{"info":"NaN⫸⇳NaN=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"((⨵≀≌(⩦⊞$2095$))↼⊘⨖($7000$⪛$2614$⊹∫⫚$8154$↼⊘⨖$1136$))⫗⊷⫓((⨵$1993$)⊢($1524$⇣⩺⋵$1991$)⩒⫫(($4178$⩉⊫⨁)⫦⪉($1587$⋫)))","expression":"((⨵≀≌(⩦⊞⪩⨒∯200233))↼⊘⨖(⪩⨒∯1231120⪛⪩⨒∯220312⊹∫⫚⪩⨒∯1333122↼⊘⨖⪩⨒∯101300))⫗⊷⫓((⨵⪩⨒∯133021)⊢(⪩⨒∯113310⇣⩺⋵⪩⨒∯133013)⩒⫫((⪩⨒∯1001102⩉⊫⨁)⫦⪉(⪩⨒∯120303⋫)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":91263,"operation_count":14,"complexity_ratio":6518.785714285715,"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":2095,"base":4}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7000,"base":4},"right_expr":{"type":"numeric_atoms","value":2614,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":8154,"base":4},"right_expr":{"type":"numeric_atoms","value":1136,"base":4}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1993,"base":4}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":1524,"base":4},"right_expr":{"type":"numeric_atoms","value":1991,"base":4}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":4178,"base":4}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1587,"base":4}}}}},"used_operators":["zashukvMKz","bPywburJMS","srAu1WTS94","u7fv1HBiaC","uWAJUKEvyW","uFcxV4UQCh","KFSx94NKJn","5twsqlHp2o","Tl3Y52tvF8","F4yD0voBRQ","wscyQdcy20","7qqUquhhSb","JL8yIekQnl"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","7j4O788W3g","tmPS8pqC7x"],"result":"⪩⨒∯-2012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2095","layer":4},{"info":"compute unary expreesion, input=2095, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1822","layer":3},{"info":"compute unary expreesion, input=-1822, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=3319684","layer":2},{"info":"number node, value=7000","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=7000, right_input=2614, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1772","layer":3},{"info":"number node, value=8154","layer":4},{"info":"number node, value=1136","layer":4},{"info":"compute binary expreesion, left_input=8154, right_input=1136, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2050","layer":3},{"info":"compute binary expreesion, left_input=1772, right_input=2050, 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":2},{"info":"compute binary expreesion, left_input=3319684, right_input=-116, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-454","layer":1},{"info":"number node, value=1993","layer":4},{"info":"compute unary expreesion, input=1993, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-17153","layer":3},{"info":"number node, value=1524","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=1991, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-17153, right_input=-260, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=34062","layer":2},{"info":"number node, value=4178","layer":4},{"info":"compute unary expreesion, input=4178, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=4178","layer":3},{"info":"number node, value=1587","layer":4},{"info":"compute unary expreesion, input=1587, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1587","layer":3},{"info":"compute binary expreesion, left_input=4178, right_input=1587, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3456","layer":2},{"info":"compute binary expreesion, left_input=34062, right_input=-3456, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=33760","layer":1},{"info":"compute binary expreesion, left_input=-454, right_input=33760, 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":4,"result_base":4,"text":"((⨵≀≌(⩦⊞⪩⨒∯200233))↼⊘⨖(⪩⨒∯1231120⪛⪩⨒∯220312⊹∫⫚⪩⨒∯1333122↼⊘⨖⪩⨒∯101300))⫗⊷⫓((⨵⪩⨒∯133021)⊢(⪩⨒∯113310⇣⩺⋵⪩⨒∯133013)⩒⫫((⪩⨒∯1001102⩉⊫⨁)⫦⪉(⪩⨒∯120303⋫)))=⪩⨒∯-2012","reverse_text":"⪩⨒∯-2012=((⨵≀≌(⩦⊞⪩⨒∯200233))↼⊘⨖(⪩⨒∯1231120⪛⪩⨒∯220312⊹∫⫚⪩⨒∯1333122↼⊘⨖⪩⨒∯101300))⫗⊷⫓((⨵⪩⨒∯133021)⊢(⪩⨒∯113310⇣⩺⋵⪩⨒∯133013)⩒⫫((⪩⨒∯1001102⩉⊫⨁)⫦⪉(⪩⨒∯120303⋫)))","cot":[{"info":"⩦⊞⪩⨒∯200233=⪩⨒∯-130132","layer":3},{"info":"⨵≀≌⪩⨒∯-130132=⪩⨒∯30222132010","layer":2},{"info":"⪩⨒∯1231120⪛⪩⨒∯220312=⪩⨒∯123230","layer":3},{"info":"⪩⨒∯1333122↼⊘⨖⪩⨒∯101300=⪩⨒∯200002","layer":3},{"info":"⪩⨒∯123230⊹∫⫚⪩⨒∯200002=⪩⨒∯-1310","layer":2},{"info":"⪩⨒∯30222132010↼⊘⨖⪩⨒∯-1310=⪩⨒∯-13012","layer":1},{"info":"⨵⪩⨒∯133021=⪩⨒∯-10030001","layer":3},{"info":"⪩⨒∯113310⇣⩺⋵⪩⨒∯133013=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯-10030001⊢⪩⨒∯-10010=⪩⨒∯20110032","layer":2},{"info":"⪩⨒∯1001102⩉⊫⨁=⪩⨒∯1001102","layer":3},{"info":"⪩⨒∯120303⋫=⪩⨒∯120303","layer":3},{"info":"⪩⨒∯1001102⫦⪉⪩⨒∯120303=⪩⨒∯-312000","layer":2},{"info":"⪩⨒∯20110032⩒⫫⪩⨒∯-312000=⪩⨒∯20033200","layer":1},{"info":"⪩⨒∯-13012⫗⊷⫓⪩⨒∯20033200=⪩⨒∯-2012","layer":0}]}
{"id":351,"expression_no_base_symbol":"(⨝⨆$5801$↼⊘⨖$2532$)⇡⇂(($1206$⫸⇳$1311$)⊋$2947$↳∿⪆$5034$)⨼⩣(($1489$⫉⨲⊜$3860$⪛⫼$1973$≥⨤⩑$2468$)⪡($4861$⪁$2575$)∣(≤/$4015$))","expression":"(⨝⨆⪩⨒∯1122221↼⊘⨖⪩⨒∯213210)⇡⇂((⪩⨒∯102312⫸⇳⪩⨒∯110133)⊋⪩⨒∯232003↳∿⪆⪩⨒∯1032222)⨼⩣((⪩⨒∯113101⫉⨲⊜⪩⨒∯330110⪛⫼⪩⨒∯132311≥⨤⩑⪩⨒∯212210)⪡(⪩⨒∯1023331⪁⪩⨒∯220033)∣(≤/⪩⨒∯332233))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7707045,"operation_count":14,"complexity_ratio":550503.2142857143,"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":5801,"base":4},"right_expr":{"type":"numeric_atoms","value":2532,"base":4}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1206,"base":4},"right_expr":{"type":"numeric_atoms","value":1311,"base":4}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2947,"base":4},"right_expr":{"type":"numeric_atoms","value":5034,"base":4}}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1489,"base":4},"right_expr":{"type":"numeric_atoms","value":3860,"base":4}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1973,"base":4},"right_expr":{"type":"numeric_atoms","value":2468,"base":4}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":4861,"base":4},"right_expr":{"type":"numeric_atoms","value":2575,"base":4}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4015,"base":4}}}}},"used_operators":["JxwMv5le6e","UMwdvZNt44","bQ67fsrMVf","bPywburJMS","W4tP9CfskL","gx7XJ7hdpj","Cw4SuJJGHO","oraRL2iQuh","hyuBjUqXlG","WhqkvtTD3t","gJLn6v0xnP","PPChnnnBFF","I7sXao9hZE","eLAdDNolq6"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","tifHPKVTfV","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","eewbuw0ToL","zVYPLywUTj","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5801","layer":4},{"info":"number node, value=2532","layer":4},{"info":"compute binary expreesion, left_input=5801, right_input=2532, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4842","layer":3},{"info":"compute unary expreesion, input=4842, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=4633","layer":2},{"info":"number node, value=1206","layer":4},{"info":"number node, value=1311","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=1311, 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=2947","layer":4},{"info":"number node, value=5034","layer":4},{"info":"compute binary expreesion, left_input=2947, right_input=5034, 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 = 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=4633, 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=1489","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=1489, right_input=3860, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1973","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=2468, 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=0, right_input=1234, 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=4861","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=4861, right_input=2575, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=4015","layer":4},{"info":"compute unary expreesion, input=4015, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3531","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3531, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"(⨝⨆⪩⨒∯1122221↼⊘⨖⪩⨒∯213210)⇡⇂((⪩⨒∯102312⫸⇳⪩⨒∯110133)⊋⪩⨒∯232003↳∿⪆⪩⨒∯1032222)⨼⩣((⪩⨒∯113101⫉⨲⊜⪩⨒∯330110⪛⫼⪩⨒∯132311≥⨤⩑⪩⨒∯212210)⪡(⪩⨒∯1023331⪁⪩⨒∯220033)∣(≤/⪩⨒∯332233))=NaN","reverse_text":"NaN=(⨝⨆⪩⨒∯1122221↼⊘⨖⪩⨒∯213210)⇡⇂((⪩⨒∯102312⫸⇳⪩⨒∯110133)⊋⪩⨒∯232003↳∿⪆⪩⨒∯1032222)⨼⩣((⪩⨒∯113101⫉⨲⊜⪩⨒∯330110⪛⫼⪩⨒∯132311≥⨤⩑⪩⨒∯212210)⪡(⪩⨒∯1023331⪁⪩⨒∯220033)∣(≤/⪩⨒∯332233))","cot":[{"info":"⪩⨒∯1122221↼⊘⨖⪩⨒∯213210=⪩⨒∯1023222","layer":3},{"info":"⨝⨆⪩⨒∯1023222=⪩⨒∯1020121","layer":2},{"info":"⪩⨒∯102312⫸⇳⪩⨒∯110133=⪩⨒∯0","layer":3},{"info":"⪩⨒∯232003↳∿⪆⪩⨒∯1032222=NaN","layer":3},{"info":"⪩⨒∯0⊋NaN=NaN","layer":2},{"info":"⪩⨒∯1020121⇡⇂NaN=NaN","layer":1},{"info":"⪩⨒∯113101⫉⨲⊜⪩⨒∯330110=⪩⨒∯0","layer":3},{"info":"⪩⨒∯132311≥⨤⩑⪩⨒∯212210=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯0⪛⫼⪩⨒∯103102=⪩⨒∯33020","layer":2},{"info":"⪩⨒∯1023331⪁⪩⨒∯220033=NaN","layer":3},{"info":"≤/⪩⨒∯332233=⪩⨒∯-313023","layer":3},{"info":"NaN∣⪩⨒∯-313023=NaN","layer":2},{"info":"⪩⨒∯33020⪡NaN=NaN","layer":1},{"info":"NaN⨼⩣NaN=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"(⨝⨆$3573$∋$4880$)≌($5291$⫲≸⪮$3230$⇮⋭($8129$⫩))⩵∡($1193$≀⫉$8619$⩟)∺≝⩲(≪($3482$⨳⩥⨓$5104$))","expression":"(⨝⨆⪩⨒∯313311∋⪩⨒∯1030100)≌(⪩⨒∯1102223⫲≸⪮⪩⨒∯302132⇮⋭(⪩⨒∯1333001⫩))⩵∡(⪩⨒∯102221≀⫉⪩⨒∯2012223⩟)∺≝⩲(≪(⪩⨒∯312122⨳⩥⨓⪩⨒∯1033300))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13910,"operation_count":12,"complexity_ratio":1159.1666666666667,"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":3573,"base":4},"right_expr":{"type":"numeric_atoms","value":4880,"base":4}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":5291,"base":4},"right_expr":{"type":"numeric_atoms","value":3230,"base":4}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":8129,"base":4}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1193,"base":4},"right_expr":{"type":"numeric_atoms","value":8619,"base":4}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3482,"base":4},"right_expr":{"type":"numeric_atoms","value":5104,"base":4}}}}},"used_operators":["Y7wcNGrDQJ","lyWz822IDG","bQ67fsrMVf","ukq6epAj5P","vkpjKywKVM","P3lXMJvFrc","6aG7x05OhS","KPf6cnQVty","fOIeswaMU4","oZj3VtZNQx","Qtd6bqUJcN","nCS4ZIUYfx"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","tifHPKVTfV","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","dWAJyo7jo9","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3573","layer":4},{"info":"number node, value=4880","layer":4},{"info":"compute binary expreesion, left_input=3573, right_input=4880, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=10243484","layer":3},{"info":"compute unary expreesion, input=10243484, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=10243275","layer":2},{"info":"number node, value=5291","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=5291, right_input=3230, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5291","layer":3},{"info":"number node, value=8129","layer":4},{"info":"compute unary expreesion, input=8129, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5291, 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=10243275, 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":1},{"info":"number node, value=1193","layer":4},{"info":"number node, value=8619","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=8619, 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 = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-24171","layer":2},{"info":"number node, value=3482","layer":4},{"info":"number node, value=5104","layer":4},{"info":"compute binary expreesion, left_input=3482, right_input=5104, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1622","layer":3},{"info":"compute unary expreesion, input=1622, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=-24171, right_input=913, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⨝⨆⪩⨒∯313311∋⪩⨒∯1030100)≌(⪩⨒∯1102223⫲≸⪮⪩⨒∯302132⇮⋭(⪩⨒∯1333001⫩))⩵∡(⪩⨒∯102221≀⫉⪩⨒∯2012223⩟)∺≝⩲(≪(⪩⨒∯312122⨳⩥⨓⪩⨒∯1033300))=NaN","reverse_text":"NaN=(⨝⨆⪩⨒∯313311∋⪩⨒∯1030100)≌(⪩⨒∯1102223⫲≸⪮⪩⨒∯302132⇮⋭(⪩⨒∯1333001⫩))⩵∡(⪩⨒∯102221≀⫉⪩⨒∯2012223⩟)∺≝⩲(≪(⪩⨒∯312122⨳⩥⨓⪩⨒∯1033300))","cot":[{"info":"⪩⨒∯313311∋⪩⨒∯1030100=⪩⨒∯213010312130","layer":3},{"info":"⨝⨆⪩⨒∯213010312130=⪩⨒∯213010303023","layer":2},{"info":"⪩⨒∯1102223⫲≸⪮⪩⨒∯302132=⪩⨒∯1102223","layer":3},{"info":"⪩⨒∯1333001⫩=NaN","layer":3},{"info":"⪩⨒∯1102223⇮⋭NaN=NaN","layer":2},{"info":"⪩⨒∯213010303023≌NaN=NaN","layer":1},{"info":"⪩⨒∯102221≀⫉⪩⨒∯2012223=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯230012⩟=⪩⨒∯-11321223","layer":2},{"info":"⪩⨒∯312122⨳⩥⨓⪩⨒∯1033300=⪩⨒∯121112","layer":3},{"info":"≪⪩⨒∯121112=⪩⨒∯32101","layer":2},{"info":"⪩⨒∯-11321223∺≝⩲⪩⨒∯32101=⪩⨒∯2200","layer":1},{"info":"NaN⩵∡⪩⨒∯2200=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"(⊁⨺($2256$+⇶⊼$1508$⩚⊴⇥(⪹$1432$)))⊅","expression":"(⊁⨺(⪩⨒∯203100+⇶⊼⪩⨒∯113210⩚⊴⇥(⪹⪩⨒∯112120)))⊅","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":79,"operation_count":5,"complexity_ratio":15.8,"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":2256,"base":4},"right_expr":{"type":"numeric_atoms","value":1508,"base":4}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1432,"base":4}}}}},"used_operators":["7p6YLioM7f","PxiHyQbrIp","NTOWxs364D","TpPTUOHfaN","USyYr0JgAa"],"dependent_operators":["SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","tifHPKVTfV"],"result":"⪩⨒∯10020303","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2256","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=1508, 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=1432","layer":4},{"info":"compute unary expreesion, input=1432, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1252","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1252, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":0}],"base":4,"result_base":4,"text":"(⊁⨺(⪩⨒∯203100+⇶⊼⪩⨒∯113210⩚⊴⇥(⪹⪩⨒∯112120)))⊅=⪩⨒∯10020303","reverse_text":"⪩⨒∯10020303=(⊁⨺(⪩⨒∯203100+⇶⊼⪩⨒∯113210⩚⊴⇥(⪹⪩⨒∯112120)))⊅","cot":[{"info":"⪩⨒∯203100+⇶⊼⪩⨒∯113210=NaN","layer":3},{"info":"⪹⪩⨒∯112120=⪩⨒∯-103210","layer":3},{"info":"NaN⩚⊴⇥⪩⨒∯-103210=NaN","layer":2},{"info":"⊁⨺NaN=NaN","layer":1},{"info":"NaN⊅=⪩⨒∯10020303","layer":0}]}
{"id":354,"expression_no_base_symbol":"≤/($4230$⨐$1546$⫌⩉⩟($5717$⊘))↙($2492$⪑⩈)⊋≦⊧($3768$⨽$2575$)","expression":"≤/(⪩⨒∯1002012⨐⪩⨒∯120022⫌⩉⩟(⪩⨒∯1121111⊘))↙(⪩⨒∯212330⪑⩈)⊋≦⊧(⪩⨒∯322320⨽⪩⨒∯220033)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5210,"operation_count":8,"complexity_ratio":651.25,"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":4230,"base":4},"right_expr":{"type":"numeric_atoms","value":1546,"base":4}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5717,"base":4}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":2492,"base":4}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3768,"base":4},"right_expr":{"type":"numeric_atoms","value":2575,"base":4}}}}},"used_operators":["eLAdDNolq6","yyfyN0ffXY","XIIwhv8d0m","Noe24qw2ks","gu96TGCTMs","oRDoc9rAEX","C6VvDP6HwP","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"⪩⨒∯20112","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4230","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=4230, right_input=1546, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8460","layer":3},{"info":"number node, value=5717","layer":4},{"info":"compute unary expreesion, input=5717, 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=-8460, right_input=0, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2492","layer":4},{"info":"compute unary expreesion, input=2492, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=19034","layer":3},{"info":"number node, value=3768","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=3768, right_input=2575, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-42599883","layer":3},{"info":"compute binary expreesion, left_input=19034, right_input=-42599883, 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=85200006","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=85200006, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-50","layer":1},{"info":"compute unary expreesion, input=-50, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=534","layer":0}],"base":4,"result_base":4,"text":"≤/(⪩⨒∯1002012⨐⪩⨒∯120022⫌⩉⩟(⪩⨒∯1121111⊘))↙(⪩⨒∯212330⪑⩈)⊋≦⊧(⪩⨒∯322320⨽⪩⨒∯220033)=⪩⨒∯20112","reverse_text":"⪩⨒∯20112=≤/(⪩⨒∯1002012⨐⪩⨒∯120022⫌⩉⩟(⪩⨒∯1121111⊘))↙(⪩⨒∯212330⪑⩈)⊋≦⊧(⪩⨒∯322320⨽⪩⨒∯220033)","cot":[{"info":"⪩⨒∯1002012⨐⪩⨒∯120022=⪩⨒∯-2010030","layer":3},{"info":"⪩⨒∯1121111⊘=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2010030⫌⩉⩟⪩⨒∯0=⪩⨒∯-302","layer":2},{"info":"⪩⨒∯212330⪑⩈=⪩⨒∯10221122","layer":3},{"info":"⪩⨒∯322320⨽⪩⨒∯220033=⪩⨒∯-2202200113023","layer":3},{"info":"⪩⨒∯10221122⊋≦⊧⪩⨒∯-2202200113023=⪩⨒∯11011000302012","layer":2},{"info":"⪩⨒∯-302↙⪩⨒∯11011000302012=⪩⨒∯-302","layer":1},{"info":"≤/⪩⨒∯-302=⪩⨒∯20112","layer":0}]}
{"id":355,"expression_no_base_symbol":"(⩩(($4608$⊅)⊹∫⫚($5059$+⇶⊼$1895$)))⇂≾⫗((⇁⨣⪵$3533$⪭$4006$)↸(($1203$∵≐)⊉≛↸$2095$⪶≀⋏$8424$))","expression":"(⩩((⪩⨒∯1020000⊅)⊹∫⫚(⪩⨒∯1033003+⇶⊼⪩⨒∯131213)))⇂≾⫗((⇁⨣⪵⪩⨒∯313031⪭⪩⨒∯332212)↸((⪩⨒∯102303∵≐)⊉≛↸⪩⨒∯200233⪶≀⋏⪩⨒∯2003220))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1187,"operation_count":11,"complexity_ratio":107.9090909090909,"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":4608,"base":4}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5059,"base":4},"right_expr":{"type":"numeric_atoms","value":1895,"base":4}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3533,"base":4},"right_expr":{"type":"numeric_atoms","value":4006,"base":4}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":1203,"base":4}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2095,"base":4},"right_expr":{"type":"numeric_atoms","value":8424,"base":4}}}}},"used_operators":["aBQ6xLxuTc","kMhfGuqI2H","uWAJUKEvyW","7p6YLioM7f","TpPTUOHfaN","1eCjFl0mb9","inkyxCbjAn","j9kHMeSvPp","DZ8iAZOCBD","59igzFyhWz","zR4jO40bMj"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","AHs5Up7iyr","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","B5M0gjZbta","COABgblf1C","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4608","layer":4},{"info":"compute unary expreesion, input=4608, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=5059","layer":4},{"info":"number node, value=1895","layer":4},{"info":"compute binary expreesion, left_input=5059, right_input=1895, 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=-174, 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":2},{"info":"compute unary expreesion, input=nan, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"number node, value=3533","layer":4},{"info":"number node, value=4006","layer":4},{"info":"compute binary expreesion, left_input=3533, right_input=4006, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=1203","layer":4},{"info":"compute unary expreesion, input=1203, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=257","layer":3},{"info":"number node, value=2095","layer":4},{"info":"number node, value=8424","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=8424, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-23365","layer":3},{"info":"compute binary expreesion, left_input=257, right_input=-23365, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=514","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=514, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⩩((⪩⨒∯1020000⊅)⊹∫⫚(⪩⨒∯1033003+⇶⊼⪩⨒∯131213)))⇂≾⫗((⇁⨣⪵⪩⨒∯313031⪭⪩⨒∯332212)↸((⪩⨒∯102303∵≐)⊉≛↸⪩⨒∯200233⪶≀⋏⪩⨒∯2003220))=NaN","reverse_text":"NaN=(⩩((⪩⨒∯1020000⊅)⊹∫⫚(⪩⨒∯1033003+⇶⊼⪩⨒∯131213)))⇂≾⫗((⇁⨣⪵⪩⨒∯313031⪭⪩⨒∯332212)↸((⪩⨒∯102303∵≐)⊉≛↸⪩⨒∯200233⪶≀⋏⪩⨒∯2003220))","cot":[{"info":"⪩⨒∯1020000⊅=⪩⨒∯-2232","layer":3},{"info":"⪩⨒∯1033003+⇶⊼⪩⨒∯131213=NaN","layer":3},{"info":"⪩⨒∯-2232⊹∫⫚NaN=NaN","layer":2},{"info":"⩩NaN=NaN","layer":1},{"info":"⪩⨒∯313031⪭⪩⨒∯332212=⪩⨒∯11","layer":3},{"info":"⇁⨣⪵⪩⨒∯11=⪩⨒∯0","layer":2},{"info":"⪩⨒∯102303∵≐=⪩⨒∯10001","layer":3},{"info":"⪩⨒∯200233⪶≀⋏⪩⨒∯2003220=⪩⨒∯-11231011","layer":3},{"info":"⪩⨒∯10001⊉≛↸⪩⨒∯-11231011=⪩⨒∯20002","layer":2},{"info":"⪩⨒∯0↸⪩⨒∯20002=⪩⨒∯0","layer":1},{"info":"NaN⇂≾⫗⪩⨒∯0=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"(∂⩏⊆($4032$⩖⊿$1774$)≴⪞⇿(⊆⋠$5639$))⪹","expression":"(∂⩏⊆(⪩⨒∯333000⩖⊿⪩⨒∯123232)≴⪞⇿(⊆⋠⪩⨒∯1120013))⪹","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":112,"operation_count":5,"complexity_ratio":22.4,"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":4032,"base":4},"right_expr":{"type":"numeric_atoms","value":1774,"base":4}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":5639,"base":4}}}}},"used_operators":["B3sABdIn96","8WDwsbhb0R","lvlrscuwVU","RZ5CV9rWsJ","EBhcHTkKd8"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","14qkJME0vr","eLAdDNolq6","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"⪩⨒∯111103122","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4032","layer":4},{"info":"number node, value=1774","layer":4},{"info":"compute binary expreesion, left_input=4032, right_input=1774, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-2018","layer":3},{"info":"number node, value=5639","layer":4},{"info":"compute unary expreesion, input=5639, 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=-2018, right_input=0, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-40899","layer":2},{"info":"compute unary expreesion, input=-40899, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=41383","layer":1},{"info":"compute unary expreesion, input=41383, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=87258","layer":0}],"base":4,"result_base":4,"text":"(∂⩏⊆(⪩⨒∯333000⩖⊿⪩⨒∯123232)≴⪞⇿(⊆⋠⪩⨒∯1120013))⪹=⪩⨒∯111103122","reverse_text":"⪩⨒∯111103122=(∂⩏⊆(⪩⨒∯333000⩖⊿⪩⨒∯123232)≴⪞⇿(⊆⋠⪩⨒∯1120013))⪹","cot":[{"info":"⪩⨒∯333000⩖⊿⪩⨒∯123232=⪩⨒∯-133202","layer":3},{"info":"⊆⋠⪩⨒∯1120013=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-133202≴⪞⇿⪩⨒∯0=⪩⨒∯-21333003","layer":2},{"info":"∂⩏⊆⪩⨒∯-21333003=⪩⨒∯22012213","layer":1},{"info":"⪩⨒∯22012213⪹=⪩⨒∯111103122","layer":0}]}
{"id":357,"expression_no_base_symbol":"($2802$⊨$5693$)⩣⫁∢$2160$⫯⪬∳$4112$⩚⊴⇥(($2370$↸$1127$)⫸⊐(↞≼$1823$))⫥∨⫟((⇁⨣⪵($8130$⫌⩉⩟$5277$))↡⊰⫅(⨛$4507$)⩁⩘($2063$⨚⇆$1600$))","expression":"(⪩⨒∯223302⊨⪩⨒∯1120331)⩣⫁∢⪩⨒∯201300⫯⪬∳⪩⨒∯1000100⩚⊴⇥((⪩⨒∯211002↸⪩⨒∯101213)⫸⊐(↞≼⪩⨒∯130133))⫥∨⫟((⇁⨣⪵(⪩⨒∯1333002⫌⩉⩟⪩⨒∯1102131))↡⊰⫅(⨛⪩⨒∯1012123)⩁⩘(⪩⨒∯200033⨚⇆⪩⨒∯121000))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45677,"operation_count":14,"complexity_ratio":3262.6428571428573,"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":2802,"base":4},"right_expr":{"type":"numeric_atoms","value":5693,"base":4}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2160,"base":4},"right_expr":{"type":"numeric_atoms","value":4112,"base":4}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":2370,"base":4},"right_expr":{"type":"numeric_atoms","value":1127,"base":4}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":1823,"base":4}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":8130,"base":4},"right_expr":{"type":"numeric_atoms","value":5277,"base":4}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":4507,"base":4}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2063,"base":4},"right_expr":{"type":"numeric_atoms","value":1600,"base":4}}}}},"used_operators":["KYD54nUTWz","NTOWxs364D","JDUIKTTSIa","vg4gO5BX6G","d7ASUq0ydm","mqXw5SEYmG","1eCjFl0mb9","DE7zCoGJt9","VCtxkLNOzz","inkyxCbjAn","XIIwhv8d0m","gub5Cegaqo","CoMdbyAt7R","lwHaAYXP2r"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","B5M0gjZbta","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DpFCA1CohY","IWmyXbctLI","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2802","layer":4},{"info":"number node, value=5693","layer":4},{"info":"compute binary expreesion, left_input=2802, right_input=5693, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=12239","layer":3},{"info":"number node, value=2160","layer":4},{"info":"number node, value=4112","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=4112, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=6721","layer":3},{"info":"compute binary expreesion, left_input=12239, right_input=6721, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-24317","layer":2},{"info":"number node, value=2370","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=2370, right_input=1127, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=2370","layer":3},{"info":"number node, value=1823","layer":4},{"info":"compute unary expreesion, input=1823, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=14170","layer":3},{"info":"compute binary expreesion, left_input=2370, right_input=14170, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=56555","layer":2},{"info":"compute binary expreesion, left_input=-24317, right_input=56555, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-32359","layer":1},{"info":"number node, value=8130","layer":4},{"info":"number node, value=5277","layer":4},{"info":"compute binary expreesion, left_input=8130, right_input=5277, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=4507","layer":4},{"info":"compute unary expreesion, input=4507, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=2063","layer":4},{"info":"number node, value=1600","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=1600, 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=nan, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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":"compute binary expreesion, left_input=-32359, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯223302⊨⪩⨒∯1120331)⩣⫁∢⪩⨒∯201300⫯⪬∳⪩⨒∯1000100⩚⊴⇥((⪩⨒∯211002↸⪩⨒∯101213)⫸⊐(↞≼⪩⨒∯130133))⫥∨⫟((⇁⨣⪵(⪩⨒∯1333002⫌⩉⩟⪩⨒∯1102131))↡⊰⫅(⨛⪩⨒∯1012123)⩁⩘(⪩⨒∯200033⨚⇆⪩⨒∯121000))=NaN","reverse_text":"NaN=(⪩⨒∯223302⊨⪩⨒∯1120331)⩣⫁∢⪩⨒∯201300⫯⪬∳⪩⨒∯1000100⩚⊴⇥((⪩⨒∯211002↸⪩⨒∯101213)⫸⊐(↞≼⪩⨒∯130133))⫥∨⫟((⇁⨣⪵(⪩⨒∯1333002⫌⩉⩟⪩⨒∯1102131))↡⊰⫅(⨛⪩⨒∯1012123)⩁⩘(⪩⨒∯200033⨚⇆⪩⨒∯121000))","cot":[{"info":"⪩⨒∯223302⊨⪩⨒∯1120331=⪩⨒∯2333033","layer":3},{"info":"⪩⨒∯201300⫯⪬∳⪩⨒∯1000100=⪩⨒∯1221001","layer":3},{"info":"⪩⨒∯2333033⩣⫁∢⪩⨒∯1221001=⪩⨒∯-11323331","layer":2},{"info":"⪩⨒∯211002↸⪩⨒∯101213=⪩⨒∯211002","layer":3},{"info":"↞≼⪩⨒∯130133=⪩⨒∯3131122","layer":3},{"info":"⪩⨒∯211002⫸⊐⪩⨒∯3131122=⪩⨒∯31303223","layer":2},{"info":"⪩⨒∯-11323331⩚⊴⇥⪩⨒∯31303223=⪩⨒∯-13321213","layer":1},{"info":"⪩⨒∯1333002⫌⩉⩟⪩⨒∯1102131=⪩⨒∯-302","layer":3},{"info":"⇁⨣⪵⪩⨒∯-302=⪩⨒∯0","layer":2},{"info":"⨛⪩⨒∯1012123=NaN","layer":3},{"info":"⪩⨒∯200033⨚⇆⪩⨒∯121000=NaN","layer":3},{"info":"NaN⩁⩘NaN=NaN","layer":2},{"info":"⪩⨒∯0↡⊰⫅NaN=NaN","layer":1},{"info":"⪩⨒∯-13321213⫥∨⫟NaN=NaN","layer":0}]}
{"id":358,"expression_no_base_symbol":"((($1009$⫚⫇)↺$7835$⊋≦⊧$1113$)⋫)≴⪞⇿($3273$≚⊃≕$5620$⇷(⊙↵-$3031$)↺(⫶⊄≣($2044$∌↝$2550$)))","expression":"(((⪩⨒∯33301⫚⫇)↺⪩⨒∯1322123⊋≦⊧⪩⨒∯101121)⋫)≴⪞⇿(⪩⨒∯303021≚⊃≕⪩⨒∯1113310⇷(⊙↵-⪩⨒∯233113)↺(⫶⊄≣(⪩⨒∯133330∌↝⪩⨒∯213312)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6143,"operation_count":11,"complexity_ratio":558.4545454545455,"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":1009,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":7835,"base":4},"right_expr":{"type":"numeric_atoms","value":1113,"base":4}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":3273,"base":4},"right_expr":{"type":"numeric_atoms","value":5620,"base":4}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3031,"base":4}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2044,"base":4},"right_expr":{"type":"numeric_atoms","value":2550,"base":4}}}}},"used_operators":["lvlrscuwVU","JL8yIekQnl","7j4O788W3g","SdCjLnB6rR","oRDoc9rAEX","mp7IySMOzn","Bmrmz2XGnR","oWn0xqSxBt","wxb3vTeyAj","9Isq31Ruls"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"⪩⨒∯-30003123","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=550","layer":3},{"info":"number node, value=7835","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=7835, right_input=1113, 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=-1986","layer":3},{"info":"compute binary expreesion, left_input=550, right_input=-1986, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1986","layer":2},{"info":"compute unary expreesion, input=-1986, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-1986","layer":1},{"info":"number node, value=3273","layer":4},{"info":"number node, value=5620","layer":4},{"info":"compute binary expreesion, left_input=3273, right_input=5620, 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=3031","layer":4},{"info":"compute unary expreesion, input=3031, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-1, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-2","layer":2},{"info":"number node, value=2044","layer":4},{"info":"number node, value=2550","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=2550, 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 = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=-1778","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=-1778, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1778","layer":1},{"info":"compute binary expreesion, left_input=-1986, right_input=-1778, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-49371","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯33301⫚⫇)↺⪩⨒∯1322123⊋≦⊧⪩⨒∯101121)⋫)≴⪞⇿(⪩⨒∯303021≚⊃≕⪩⨒∯1113310⇷(⊙↵-⪩⨒∯233113)↺(⫶⊄≣(⪩⨒∯133330∌↝⪩⨒∯213312)))=⪩⨒∯-30003123","reverse_text":"⪩⨒∯-30003123=(((⪩⨒∯33301⫚⫇)↺⪩⨒∯1322123⊋≦⊧⪩⨒∯101121)⋫)≴⪞⇿(⪩⨒∯303021≚⊃≕⪩⨒∯1113310⇷(⊙↵-⪩⨒∯233113)↺(⫶⊄≣(⪩⨒∯133330∌↝⪩⨒∯213312)))","cot":[{"info":"⪩⨒∯33301⫚⫇=⪩⨒∯20212","layer":3},{"info":"⪩⨒∯1322123⊋≦⊧⪩⨒∯101121=⪩⨒∯-133002","layer":3},{"info":"⪩⨒∯20212↺⪩⨒∯-133002=⪩⨒∯-133002","layer":2},{"info":"⪩⨒∯-133002⋫=⪩⨒∯-133002","layer":1},{"info":"⪩⨒∯303021≚⊃≕⪩⨒∯1113310=⪩⨒∯1003","layer":3},{"info":"⊙↵-⪩⨒∯233113=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯1003⇷⪩⨒∯-1=⪩⨒∯-2","layer":2},{"info":"⪩⨒∯133330∌↝⪩⨒∯213312=⪩⨒∯0","layer":3},{"info":"⫶⊄≣⪩⨒∯0=⪩⨒∯-123302","layer":2},{"info":"⪩⨒∯-2↺⪩⨒∯-123302=⪩⨒∯-123302","layer":1},{"info":"⪩⨒∯-133002≴⪞⇿⪩⨒∯-123302=⪩⨒∯-30003123","layer":0}]}
{"id":359,"expression_no_base_symbol":"((⊢≑≆(↩⪖$2020$))⪒(⇙⪊$1379$⫁⪎$2661$))↢((($1044$∕⩚$1070$)∲⫓$2055$↡⊰⫅$2299$)⫢⨠(⊙↵-(≦∁$1078$)))","expression":"((⊢≑≆(↩⪖⪩⨒∯133210))⪒(⇙⪊⪩⨒∯111203⫁⪎⪩⨒∯221211))↢(((⪩⨒∯100110∕⩚⪩⨒∯100232)∲⫓⪩⨒∯200013↡⊰⫅⪩⨒∯203323)⫢⨠(⊙↵-(≦∁⪩⨒∯100312)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34503,"operation_count":12,"complexity_ratio":2875.25,"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":2020,"base":4}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1379,"base":4},"right_expr":{"type":"numeric_atoms","value":2661,"base":4}}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1044,"base":4},"right_expr":{"type":"numeric_atoms","value":1070,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":2055,"base":4},"right_expr":{"type":"numeric_atoms","value":2299,"base":4}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1078,"base":4}}}}},"used_operators":["WR6HLWljOP","f6k1SAg4EE","27wFxooxGf","fG6uBQFnGz","pB6Fcnrjim","xRrnTEsQ6j","xlXykHWxX1","i8ToyICDmI","z9ffQ9n5Zr","VCtxkLNOzz","oWn0xqSxBt","9ICcGScMcE"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪩⨒∯-32300322","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2020","layer":4},{"info":"compute unary expreesion, input=2020, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-15102","layer":3},{"info":"compute unary expreesion, input=-15102, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=30397","layer":2},{"info":"number node, value=1379","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=1379, right_input=2661, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1282","layer":3},{"info":"compute unary expreesion, input=-1282, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=30397, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-30397","layer":1},{"info":"number node, value=1044","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1070, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1047","layer":3},{"info":"number node, value=2055","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=2299, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=4598","layer":3},{"info":"compute binary expreesion, left_input=-1047, right_input=4598, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1078","layer":3},{"info":"compute unary expreesion, input=1078, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-30397, right_input=160, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-60474","layer":0}],"base":4,"result_base":4,"text":"((⊢≑≆(↩⪖⪩⨒∯133210))⪒(⇙⪊⪩⨒∯111203⫁⪎⪩⨒∯221211))↢(((⪩⨒∯100110∕⩚⪩⨒∯100232)∲⫓⪩⨒∯200013↡⊰⫅⪩⨒∯203323)⫢⨠(⊙↵-(≦∁⪩⨒∯100312)))=⪩⨒∯-32300322","reverse_text":"⪩⨒∯-32300322=((⊢≑≆(↩⪖⪩⨒∯133210))⪒(⇙⪊⪩⨒∯111203⫁⪎⪩⨒∯221211))↢(((⪩⨒∯100110∕⩚⪩⨒∯100232)∲⫓⪩⨒∯200013↡⊰⫅⪩⨒∯203323)⫢⨠(⊙↵-(≦∁⪩⨒∯100312)))","cot":[{"info":"↩⪖⪩⨒∯133210=⪩⨒∯-3223332","layer":3},{"info":"⊢≑≆⪩⨒∯-3223332=⪩⨒∯13122331","layer":2},{"info":"⪩⨒∯111203⫁⪎⪩⨒∯221211=⪩⨒∯-110002","layer":3},{"info":"⇙⪊⪩⨒∯-110002=⪩⨒∯0","layer":2},{"info":"⪩⨒∯13122331⪒⪩⨒∯0=⪩⨒∯-13122331","layer":1},{"info":"⪩⨒∯100110∕⩚⪩⨒∯100232=⪩⨒∯-100113","layer":3},{"info":"⪩⨒∯200013↡⊰⫅⪩⨒∯203323=⪩⨒∯1013312","layer":3},{"info":"⪩⨒∯-100113∲⫓⪩⨒∯1013312=⪩⨒∯0","layer":2},{"info":"≦∁⪩⨒∯100312=⪩⨒∯100312","layer":3},{"info":"⊙↵-⪩⨒∯100312=⪩⨒∯-1","layer":2},{"info":"⪩⨒∯0⫢⨠⪩⨒∯-1=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯-13122331↢⪩⨒∯2200=⪩⨒∯-32300322","layer":0}]}
{"id":360,"expression_no_base_symbol":"⇈((⨭⩧⫛$7793$)⇣⩺⋵($8011$⫔⩽⩺$1754$)∝($1818$⋹⋡⊁$5242$-$4562$⫞⩸⩒$6431$))","expression":"⇈((⨭⩧⫛⪩⨒∯1321301)⇣⩺⋵(⪩⨒∯1331023⫔⩽⩺⪩⨒∯123122)∝(⪩⨒∯130122⋹⋡⊁⪩⨒∯1101322-⪩⨒∯1013102⫞⩸⩒⪩⨒∯1210133))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":63819,"operation_count":8,"complexity_ratio":7977.375,"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":7793,"base":4}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":8011,"base":4},"right_expr":{"type":"numeric_atoms","value":1754,"base":4}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1818,"base":4},"right_expr":{"type":"numeric_atoms","value":5242,"base":4}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":4562,"base":4},"right_expr":{"type":"numeric_atoms","value":6431,"base":4}}}}},"used_operators":["SLLxy00UIr","cTDWOvIxvz","F4yD0voBRQ","g21JL6JxX7","i9eR4S00cU","rysDP5nf3Z","As8RqfVLgs","XGcMNugi78"],"dependent_operators":["Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","Tw270M8GLb","fu6greOZ01","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⪩⨒∯-12333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7793","layer":4},{"info":"compute unary expreesion, input=7793, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=8011","layer":4},{"info":"number node, value=1754","layer":4},{"info":"compute binary expreesion, left_input=8011, right_input=1754, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"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":2},{"info":"number node, value=1818","layer":4},{"info":"number node, value=5242","layer":4},{"info":"compute binary expreesion, left_input=1818, right_input=5242, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5992","layer":3},{"info":"number node, value=4562","layer":4},{"info":"number node, value=6431","layer":4},{"info":"compute binary expreesion, left_input=4562, right_input=6431, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=6431","layer":3},{"info":"compute binary expreesion, left_input=5992, right_input=6431, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-439","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-439, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-255","layer":1},{"info":"compute unary expreesion, input=-255, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":0}],"base":4,"result_base":4,"text":"⇈((⨭⩧⫛⪩⨒∯1321301)⇣⩺⋵(⪩⨒∯1331023⫔⩽⩺⪩⨒∯123122)∝(⪩⨒∯130122⋹⋡⊁⪩⨒∯1101322-⪩⨒∯1013102⫞⩸⩒⪩⨒∯1210133))=⪩⨒∯-12333","reverse_text":"⪩⨒∯-12333=⇈((⨭⩧⫛⪩⨒∯1321301)⇣⩺⋵(⪩⨒∯1331023⫔⩽⩺⪩⨒∯123122)∝(⪩⨒∯130122⋹⋡⊁⪩⨒∯1101322-⪩⨒∯1013102⫞⩸⩒⪩⨒∯1210133))","cot":[{"info":"⨭⩧⫛⪩⨒∯1321301=NaN","layer":3},{"info":"⪩⨒∯1331023⫔⩽⩺⪩⨒∯123122=NaN","layer":3},{"info":"NaN⇣⩺⋵NaN=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯130122⋹⋡⊁⪩⨒∯1101322=⪩⨒∯1131220","layer":3},{"info":"⪩⨒∯1013102⫞⩸⩒⪩⨒∯1210133=⪩⨒∯1210133","layer":3},{"info":"⪩⨒∯1131220-⪩⨒∯1210133=⪩⨒∯-12313","layer":2},{"info":"⪩⨒∯-10010∝⪩⨒∯-12313=⪩⨒∯-3333","layer":1},{"info":"⇈⪩⨒∯-3333=⪩⨒∯-12333","layer":0}]}
{"id":361,"expression_no_base_symbol":"(∓⪦(($3228$∕⩚$1038$)*($3578$⨶)))∴($1685$⊴$3037$∙⊟(⨩∲⋌$5448$)-($1117$⩍⋽⫝̸$1925$⫡⨏$6510$⇍⊗$2473$))","expression":"(∓⪦((⪩⨒∯302130∕⩚⪩⨒∯100032)*(⪩⨒∯313322⨶)))∴(⪩⨒∯122111⊴⪩⨒∯233131∙⊟(⨩∲⋌⪩⨒∯1111020)-(⪩⨒∯101131⩍⋽⫝̸⪩⨒∯132011⫡⨏⪩⨒∯1211232⇍⊗⪩⨒∯212221))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9672,"operation_count":12,"complexity_ratio":806.0,"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":3228,"base":4},"right_expr":{"type":"numeric_atoms","value":1038,"base":4}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":3578,"base":4}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1685,"base":4},"right_expr":{"type":"numeric_atoms","value":3037,"base":4}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":5448,"base":4}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":1117,"base":4},"right_expr":{"type":"numeric_atoms","value":1925,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":6510,"base":4},"right_expr":{"type":"numeric_atoms","value":2473,"base":4}}}}},"used_operators":["hrf7POJlIJ","D309nIvmXG","9HNa5Wba9A","z9ffQ9n5Zr","rFxw8gIMmB","rysDP5nf3Z","SxTAKzQCrw","Nsiff2A1zJ","aSik1wnThz","QMFrweE19q","BiWNJpBvwn","5uvYHDjeKN"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","W4YGzv6Whe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","f6k1SAg4EE","Qy55tPpLXF","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⪩⨒∯-10022232123210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3228","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=3228, right_input=1038, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3231","layer":3},{"info":"number node, value=3578","layer":4},{"info":"compute unary expreesion, input=3578, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=5410","layer":3},{"info":"compute binary expreesion, left_input=-3231, right_input=5410, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-17479710","layer":2},{"info":"compute unary expreesion, input=-17479710, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-34961066","layer":1},{"info":"number node, value=1685","layer":4},{"info":"number node, value=3037","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=3037, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5448","layer":4},{"info":"compute unary expreesion, input=5448, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-5971","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5971, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":2},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1925","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1925, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=979","layer":3},{"info":"number node, value=6510","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=6510, right_input=2473, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=979, right_input=-244, 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=5190","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5190, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-34961066, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-69920484","layer":0}],"base":4,"result_base":4,"text":"(∓⪦((⪩⨒∯302130∕⩚⪩⨒∯100032)*(⪩⨒∯313322⨶)))∴(⪩⨒∯122111⊴⪩⨒∯233131∙⊟(⨩∲⋌⪩⨒∯1111020)-(⪩⨒∯101131⩍⋽⫝̸⪩⨒∯132011⫡⨏⪩⨒∯1211232⇍⊗⪩⨒∯212221))=⪩⨒∯-10022232123210","reverse_text":"⪩⨒∯-10022232123210=(∓⪦((⪩⨒∯302130∕⩚⪩⨒∯100032)*(⪩⨒∯313322⨶)))∴(⪩⨒∯122111⊴⪩⨒∯233131∙⊟(⨩∲⋌⪩⨒∯1111020)-(⪩⨒∯101131⩍⋽⫝̸⪩⨒∯132011⫡⨏⪩⨒∯1211232⇍⊗⪩⨒∯212221))","cot":[{"info":"⪩⨒∯302130∕⩚⪩⨒∯100032=⪩⨒∯-302133","layer":3},{"info":"⪩⨒∯313322⨶=⪩⨒∯1110202","layer":3},{"info":"⪩⨒∯-302133*⪩⨒∯1110202=⪩⨒∯-1002223200132","layer":2},{"info":"∓⪦⪩⨒∯-1002223200132=⪩⨒∯-2011113122222","layer":1},{"info":"⪩⨒∯122111⊴⪩⨒∯233131=NaN","layer":3},{"info":"⨩∲⋌⪩⨒∯1111020=⪩⨒∯-1131103","layer":3},{"info":"NaN∙⊟⪩⨒∯-1131103=NaN","layer":2},{"info":"⪩⨒∯101131⩍⋽⫝̸⪩⨒∯132011=⪩⨒∯33103","layer":3},{"info":"⪩⨒∯1211232⇍⊗⪩⨒∯212221=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯33103⫡⨏⪩⨒∯-3310=⪩⨒∯1101012","layer":2},{"info":"NaN-⪩⨒∯1101012=NaN","layer":1},{"info":"⪩⨒∯-2011113122222∴NaN=⪩⨒∯-10022232123210","layer":0}]}
{"id":362,"expression_no_base_symbol":"(↞≼($5033$⋓$2057$))⫁⪎(∥⊫$1710$)⩼⇪↪$5999$⪟⇏$2812$⪐","expression":"(↞≼(⪩⨒∯1032221⋓⪩⨒∯200021))⫁⪎(∥⊫⪩⨒∯122232)⩼⇪↪⪩⨒∯1131233⪟⇏⪩⨒∯223330⪐","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":82,"operation_count":7,"complexity_ratio":11.714285714285714,"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":5033,"base":4},"right_expr":{"type":"numeric_atoms","value":2057,"base":4}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1710,"base":4}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":5999,"base":4},"right_expr":{"type":"numeric_atoms","value":2812,"base":4}}}}},"used_operators":["eH2TOUuTDT","xRrnTEsQ6j","DE7zCoGJt9","T2fj7uvVaJ","ocnLzx9CaJ","P8v4zCKN1o","GODebY97qR"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X"],"result":"⪩⨒∯-2111310","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5033","layer":4},{"info":"number node, value=2057","layer":4},{"info":"compute binary expreesion, left_input=5033, right_input=2057, 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 = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-414","layer":2},{"info":"number node, value=1710","layer":4},{"info":"compute unary expreesion, input=1710, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2578","layer":3},{"info":"number node, value=5999","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=5999, right_input=2812, 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=2578, right_input=-1, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=4380","layer":2},{"info":"compute binary expreesion, left_input=-414, right_input=4380, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-4794","layer":1},{"info":"compute unary expreesion, input=-4794, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-9588","layer":0}],"base":4,"result_base":4,"text":"(↞≼(⪩⨒∯1032221⋓⪩⨒∯200021))⫁⪎(∥⊫⪩⨒∯122232)⩼⇪↪⪩⨒∯1131233⪟⇏⪩⨒∯223330⪐=⪩⨒∯-2111310","reverse_text":"⪩⨒∯-2111310=(↞≼(⪩⨒∯1032221⋓⪩⨒∯200021))⫁⪎(∥⊫⪩⨒∯122232)⩼⇪↪⪩⨒∯1131233⪟⇏⪩⨒∯223330⪐","cot":[{"info":"⪩⨒∯1032221⋓⪩⨒∯200021=⪩⨒∯0","layer":3},{"info":"↞≼⪩⨒∯0=⪩⨒∯-12132","layer":2},{"info":"∥⊫⪩⨒∯122232=⪩⨒∯220102","layer":3},{"info":"⪩⨒∯1131233⪟⇏⪩⨒∯223330=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯220102⩼⇪↪⪩⨒∯-1=⪩⨒∯1010130","layer":2},{"info":"⪩⨒∯-12132⫁⪎⪩⨒∯1010130=⪩⨒∯-1022322","layer":1},{"info":"⪩⨒∯-1022322⪐=⪩⨒∯-2111310","layer":0}]}
{"id":363,"expression_no_base_symbol":"(($2601$⫃⨇$7383$)↢($1283$⊱⇼⊻$3545$)⨹)∇⊂⋱(($2172$∥⊢⊲$2373$↡⊰⫅($3637$⪨≂$1126$))↼⊘⨖(↪⫪⫘($8184$⋥⋵⩄$4011$)))","expression":"((⪩⨒∯220221⫃⨇⪩⨒∯1303113)↢(⪩⨒∯110003⊱⇼⊻⪩⨒∯313121)⨹)∇⊂⋱((⪩⨒∯201330∥⊢⊲⪩⨒∯211011↡⊰⫅(⪩⨒∯320311⪨≂⪩⨒∯101212))↼⊘⨖(↪⫪⫘(⪩⨒∯1333320⋥⋵⩄⪩⨒∯332223)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":75095,"operation_count":11,"complexity_ratio":6826.818181818182,"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":2601,"base":4},"right_expr":{"type":"numeric_atoms","value":7383,"base":4}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1283,"base":4},"right_expr":{"type":"numeric_atoms","value":3545,"base":4}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":2172,"base":4},"right_expr":{"type":"numeric_atoms","value":2373,"base":4}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3637,"base":4},"right_expr":{"type":"numeric_atoms","value":1126,"base":4}}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":8184,"base":4},"right_expr":{"type":"numeric_atoms","value":4011,"base":4}}}}},"used_operators":["nhYeJWJD5X","UnCoSGIALn","WR6HLWljOP","09Ly4LVMIf","FyVja0WsTP","bPywburJMS","VCtxkLNOzz","v1UQAVDJRr","sdazOOVcIp","9dWsAM3GFt","7t3wd0Fuz7"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","mp7IySMOzn","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","EBcxylXtPf","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2601","layer":4},{"info":"number node, value=7383","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=7383, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-29564","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=3545","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=3545, 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=-29564, right_input=434, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-58260","layer":2},{"info":"compute unary expreesion, input=-58260, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=nan","layer":1},{"info":"number node, value=2172","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=2172, right_input=2373, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=3637","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=3637, right_input=1126, 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=5124","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5124, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10248","layer":2},{"info":"number node, value=8184","layer":4},{"info":"number node, value=4011","layer":4},{"info":"compute binary expreesion, left_input=8184, right_input=4011, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"compute binary expreesion, left_input=10248, right_input=20, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-182","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-182, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯220221⫃⨇⪩⨒∯1303113)↢(⪩⨒∯110003⊱⇼⊻⪩⨒∯313121)⨹)∇⊂⋱((⪩⨒∯201330∥⊢⊲⪩⨒∯211011↡⊰⫅(⪩⨒∯320311⪨≂⪩⨒∯101212))↼⊘⨖(↪⫪⫘(⪩⨒∯1333320⋥⋵⩄⪩⨒∯332223)))=NaN","reverse_text":"NaN=((⪩⨒∯220221⫃⨇⪩⨒∯1303113)↢(⪩⨒∯110003⊱⇼⊻⪩⨒∯313121)⨹)∇⊂⋱((⪩⨒∯201330∥⊢⊲⪩⨒∯211011↡⊰⫅(⪩⨒∯320311⪨≂⪩⨒∯101212))↼⊘⨖(↪⫪⫘(⪩⨒∯1333320⋥⋵⩄⪩⨒∯332223)))","cot":[{"info":"⪩⨒∯220221⫃⨇⪩⨒∯1303113=⪩⨒∯-13031330","layer":3},{"info":"⪩⨒∯110003⊱⇼⊻⪩⨒∯313121=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯-13031330↢⪩⨒∯12302=⪩⨒∯-32032110","layer":2},{"info":"⪩⨒∯-32032110⨹=NaN","layer":1},{"info":"⪩⨒∯201330∥⊢⊲⪩⨒∯211011=NaN","layer":3},{"info":"⪩⨒∯320311⪨≂⪩⨒∯101212=⪩⨒∯1100010","layer":3},{"info":"NaN↡⊰⫅⪩⨒∯1100010=⪩⨒∯2200020","layer":2},{"info":"⪩⨒∯1333320⋥⋵⩄⪩⨒∯332223=⪩⨒∯1301","layer":3},{"info":"↪⫪⫘⪩⨒∯1301=⪩⨒∯110","layer":2},{"info":"⪩⨒∯2200020↼⊘⨖⪩⨒∯110=⪩⨒∯-2312","layer":1},{"info":"NaN∇⊂⋱⪩⨒∯-2312=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"($6169$∓⋝$4315$⨻⩈⩔($2627$≬⋮$6867$))⨪↰⇹($4647$∽$1074$)⊢$8398$⩁⩘$4902$⨰(≻⋜($3187$⨵⪆$1243$))≀⫉((→⩰$4372$)⪣⫩)","expression":"(⪩⨒∯1200121∓⋝⪩⨒∯1003123⨻⩈⩔(⪩⨒∯221003≬⋮⪩⨒∯1223103))⨪↰⇹(⪩⨒∯1020213∽⪩⨒∯100302)⊢⪩⨒∯2003032⩁⩘⪩⨒∯1030212⨰(≻⋜(⪩⨒∯301303⨵⪆⪩⨒∯103123))≀⫉((→⩰⪩⨒∯1010110)⪣⫩)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6747,"operation_count":13,"complexity_ratio":519.0,"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":6169,"base":4},"right_expr":{"type":"numeric_atoms","value":4315,"base":4}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2627,"base":4},"right_expr":{"type":"numeric_atoms","value":6867,"base":4}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4647,"base":4},"right_expr":{"type":"numeric_atoms","value":1074,"base":4}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":8398,"base":4},"right_expr":{"type":"numeric_atoms","value":4902,"base":4}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3187,"base":4},"right_expr":{"type":"numeric_atoms","value":1243,"base":4}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4372,"base":4}}}}},"used_operators":["eewbuw0ToL","tmPS8pqC7x","nEsXyWgiOK","PoHhknlbAi","kbkesczE7y","5twsqlHp2o","y4ImoPnbV5","gub5Cegaqo","oZj3VtZNQx","3tj9sqzovi","2DQ55sFlQl","iuk5sVOGFA","o8Pngz0Tml"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6169","layer":4},{"info":"number node, value=4315","layer":4},{"info":"compute binary expreesion, left_input=6169, right_input=4315, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2627","layer":4},{"info":"number node, value=6867","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=6867, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=868, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=4647","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=4647, right_input=1074, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-26279","layer":3},{"info":"number node, value=8398","layer":4},{"info":"number node, value=4902","layer":4},{"info":"compute binary expreesion, left_input=8398, right_input=4902, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=20556","layer":3},{"info":"compute binary expreesion, left_input=-26279, right_input=20556, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=52314","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=52314, 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=-174","layer":1},{"info":"number node, value=3187","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=3187, right_input=1243, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":2},{"info":"number node, value=4372","layer":4},{"info":"compute unary expreesion, input=4372, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=nan, right_input=913, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1200121∓⋝⪩⨒∯1003123⨻⩈⩔(⪩⨒∯221003≬⋮⪩⨒∯1223103))⨪↰⇹(⪩⨒∯1020213∽⪩⨒∯100302)⊢⪩⨒∯2003032⩁⩘⪩⨒∯1030212⨰(≻⋜(⪩⨒∯301303⨵⪆⪩⨒∯103123))≀⫉((→⩰⪩⨒∯1010110)⪣⫩)=NaN","reverse_text":"NaN=(⪩⨒∯1200121∓⋝⪩⨒∯1003123⨻⩈⩔(⪩⨒∯221003≬⋮⪩⨒∯1223103))⨪↰⇹(⪩⨒∯1020213∽⪩⨒∯100302)⊢⪩⨒∯2003032⩁⩘⪩⨒∯1030212⨰(≻⋜(⪩⨒∯301303⨵⪆⪩⨒∯103123))≀⫉((→⩰⪩⨒∯1010110)⪣⫩)","cot":[{"info":"⪩⨒∯1200121∓⋝⪩⨒∯1003123=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯221003≬⋮⪩⨒∯1223103=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯1003⨻⩈⩔⪩⨒∯31210=⪩⨒∯-2232","layer":2},{"info":"⪩⨒∯1020213∽⪩⨒∯100302=⪩⨒∯-12122213","layer":3},{"info":"⪩⨒∯2003032⩁⩘⪩⨒∯1030212=⪩⨒∯11001030","layer":3},{"info":"⪩⨒∯-12122213⊢⪩⨒∯11001030=⪩⨒∯30301122","layer":2},{"info":"⪩⨒∯-2232⨪↰⇹⪩⨒∯30301122=⪩⨒∯-2232","layer":1},{"info":"⪩⨒∯301303⨵⪆⪩⨒∯103123=⪩⨒∯2200","layer":3},{"info":"≻⋜⪩⨒∯2200=NaN","layer":2},{"info":"→⩰⪩⨒∯1010110=NaN","layer":3},{"info":"NaN⪣⫩=⪩⨒∯32101","layer":2},{"info":"NaN≀⫉⪩⨒∯32101=NaN","layer":1},{"info":"⪩⨒∯-2232⨰NaN=NaN","layer":0}]}
{"id":365,"expression_no_base_symbol":"⨂⪏⇭(-(∥⊫$1419$)⇣⩺⋵($1903$⋷$2693$))","expression":"⨂⪏⇭(-(∥⊫⪩⨒∯112023)⇣⩺⋵(⪩⨒∯131233⋷⪩⨒∯222011))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":81,"operation_count":5,"complexity_ratio":16.2,"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":1419,"base":4}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1903,"base":4},"right_expr":{"type":"numeric_atoms","value":2693,"base":4}}}}},"used_operators":["AYdpE9sXAk","t8gj7n24qd","F4yD0voBRQ","P8v4zCKN1o","23Mk6UjR3U"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯-3013","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1419","layer":4},{"info":"compute unary expreesion, input=1419, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2287","layer":3},{"info":"number node, value=1903","layer":4},{"info":"number node, value=2693","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=2693, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3483","layer":3},{"info":"compute binary expreesion, left_input=2287, right_input=3483, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute unary expreesion, input=-260, op_id = t8gj7n24qd, unary_op_definition = 'None', output=260","layer":1},{"info":"compute unary expreesion, input=260, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-199","layer":0}],"base":4,"result_base":4,"text":"⨂⪏⇭(-(∥⊫⪩⨒∯112023)⇣⩺⋵(⪩⨒∯131233⋷⪩⨒∯222011))=⪩⨒∯-3013","reverse_text":"⪩⨒∯-3013=⨂⪏⇭(-(∥⊫⪩⨒∯112023)⇣⩺⋵(⪩⨒∯131233⋷⪩⨒∯222011))","cot":[{"info":"∥⊫⪩⨒∯112023=⪩⨒∯203233","layer":3},{"info":"⪩⨒∯131233⋷⪩⨒∯222011=⪩⨒∯312123","layer":3},{"info":"⪩⨒∯203233⇣⩺⋵⪩⨒∯312123=⪩⨒∯-10010","layer":2},{"info":"-⪩⨒∯-10010=⪩⨒∯10010","layer":1},{"info":"⨂⪏⇭⪩⨒∯10010=⪩⨒∯-3013","layer":0}]}
{"id":366,"expression_no_base_symbol":"(⪫⨮⊛($1939$⇂≾⫗$5633$⨽∌($2077$⨀⨒)))⫸⊐(($3380$⋭≵$3939$)∘($9545$∑⇟⊟$1286$))⩁⩘($1666$∑⇟⊟$1413$⨽$2638$⪇≇⋚$4495$)","expression":"(⪫⨮⊛(⪩⨒∯132103⇂≾⫗⪩⨒∯1120001⨽∌(⪩⨒∯200131⨀⨒)))⫸⊐((⪩⨒∯310310⋭≵⪩⨒∯331203)∘(⪩⨒∯2111021∑⇟⊟⪩⨒∯110012))⩁⩘(⪩⨒∯122002∑⇟⊟⪩⨒∯112011⨽⪩⨒∯221032⪇≇⋚⪩⨒∯1012033)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":257,"operation_count":12,"complexity_ratio":21.416666666666668,"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":1939,"base":4},"right_expr":{"type":"numeric_atoms","value":5633,"base":4}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":2077,"base":4}}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3380,"base":4},"right_expr":{"type":"numeric_atoms","value":3939,"base":4}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":9545,"base":4},"right_expr":{"type":"numeric_atoms","value":1286,"base":4}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1666,"base":4},"right_expr":{"type":"numeric_atoms","value":1413,"base":4}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2638,"base":4},"right_expr":{"type":"numeric_atoms","value":4495,"base":4}}}}},"used_operators":["mqXw5SEYmG","w5FWba1tyO","9samAPKr6k","aBQ6xLxuTc","j6NVkjMzuk","gub5Cegaqo","Z5m6OM72h2","jBncVCNhdl","U7g4x0WXJJ","8HhzD0ZcuI","3sJ7IOPOlU"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","DpFCA1CohY","IWmyXbctLI","eH2TOUuTDT","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1939","layer":4},{"info":"number node, value=5633","layer":4},{"info":"compute binary expreesion, left_input=1939, right_input=5633, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=25810","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=25810, 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 = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=0","layer":1},{"info":"number node, value=3380","layer":4},{"info":"number node, value=3939","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=3939, 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=9545","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=9545, right_input=1286, 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=67, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=134","layer":2},{"info":"number node, value=1666","layer":4},{"info":"number node, value=1413","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=1413, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2638","layer":4},{"info":"number node, value=4495","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=4495, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=134, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"(⪫⨮⊛(⪩⨒∯132103⇂≾⫗⪩⨒∯1120001⨽∌(⪩⨒∯200131⨀⨒)))⫸⊐((⪩⨒∯310310⋭≵⪩⨒∯331203)∘(⪩⨒∯2111021∑⇟⊟⪩⨒∯110012))⩁⩘(⪩⨒∯122002∑⇟⊟⪩⨒∯112011⨽⪩⨒∯221032⪇≇⋚⪩⨒∯1012033)=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⪫⨮⊛(⪩⨒∯132103⇂≾⫗⪩⨒∯1120001⨽∌(⪩⨒∯200131⨀⨒)))⫸⊐((⪩⨒∯310310⋭≵⪩⨒∯331203)∘(⪩⨒∯2111021∑⇟⊟⪩⨒∯110012))⩁⩘(⪩⨒∯122002∑⇟⊟⪩⨒∯112011⨽⪩⨒∯221032⪇≇⋚⪩⨒∯1012033)","cot":[{"info":"⪩⨒∯132103⇂≾⫗⪩⨒∯1120001=⪩⨒∯-22210","layer":3},{"info":"⪩⨒∯200131⨀⨒=⪩⨒∯12103102","layer":3},{"info":"⪩⨒∯-22210⨽∌⪩⨒∯12103102=⪩⨒∯0","layer":2},{"info":"⪫⨮⊛⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯310310⋭≵⪩⨒∯331203=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯2111021∑⇟⊟⪩⨒∯110012=NaN","layer":3},{"info":"⪩⨒∯1003∘NaN=⪩⨒∯2012","layer":2},{"info":"⪩⨒∯122002∑⇟⊟⪩⨒∯112011=NaN","layer":3},{"info":"⪩⨒∯221032⪇≇⋚⪩⨒∯1012033=⪩⨒∯0","layer":3},{"info":"NaN⨽⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯2012⩁⩘NaN=NaN","layer":1},{"info":"⪩⨒∯0⫸⊐NaN=⪩⨒∯0","layer":0}]}
{"id":367,"expression_no_base_symbol":"((⊲⪭$7843$)∪⫐$1543$⫒⫫$3556$)⇡⇂($3303$∴$1200$↺($3117$↸$6613$))⇻⋧≁(⇖(($5382$⩵∡$5223$)⫰⋱(⪹$7944$)))","expression":"((⊲⪭⪩⨒∯1322203)∪⫐⪩⨒∯120013⫒⫫⪩⨒∯313210)⇡⇂(⪩⨒∯303213∴⪩⨒∯102300↺(⪩⨒∯300231↸⪩⨒∯1213111))⇻⋧≁(⇖((⪩⨒∯1110012⩵∡⪩⨒∯1101213)⫰⋱(⪹⪩⨒∯1330020)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20496,"operation_count":12,"complexity_ratio":1708.0,"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":7843,"base":4}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1543,"base":4},"right_expr":{"type":"numeric_atoms","value":3556,"base":4}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3303,"base":4},"right_expr":{"type":"numeric_atoms","value":1200,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3117,"base":4},"right_expr":{"type":"numeric_atoms","value":6613,"base":4}}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":5382,"base":4},"right_expr":{"type":"numeric_atoms","value":5223,"base":4}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":7944,"base":4}}}}},"used_operators":["jCPkEVoL5K","UMwdvZNt44","7YooWSwCyH","k7HXdKtiEU","6Ko8hGgeMq","7j4O788W3g","hrf7POJlIJ","1eCjFl0mb9","tfWHHpNKUN","6o9Blt3TJ6","Y7wcNGrDQJ","USyYr0JgAa"],"dependent_operators":["eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rJVOvQCfKK","2DDjHMKMc0","i8ToyICDmI","xUOZtlo3hN","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","2DQ55sFlQl","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","glklzrTFfD","tifHPKVTfV","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7843","layer":4},{"info":"compute unary expreesion, input=7843, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-8017","layer":3},{"info":"number node, value=1543","layer":4},{"info":"number node, value=3556","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=3556, 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=-8017, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-8017","layer":2},{"info":"number node, value=3303","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3303, right_input=1200, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8254","layer":3},{"info":"number node, value=3117","layer":4},{"info":"number node, value=6613","layer":4},{"info":"compute binary expreesion, left_input=3117, right_input=6613, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3117","layer":3},{"info":"compute binary expreesion, left_input=8254, right_input=3117, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3117","layer":2},{"info":"compute binary expreesion, left_input=-8017, right_input=3117, 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=5382","layer":4},{"info":"number node, value=5223","layer":4},{"info":"compute binary expreesion, left_input=5382, right_input=5223, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-5662","layer":3},{"info":"number node, value=7944","layer":4},{"info":"compute unary expreesion, input=7944, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-7764","layer":3},{"info":"compute binary expreesion, left_input=-5662, right_input=-7764, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=13493","layer":2},{"info":"compute unary expreesion, input=13493, 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 = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⊲⪭⪩⨒∯1322203)∪⫐⪩⨒∯120013⫒⫫⪩⨒∯313210)⇡⇂(⪩⨒∯303213∴⪩⨒∯102300↺(⪩⨒∯300231↸⪩⨒∯1213111))⇻⋧≁(⇖((⪩⨒∯1110012⩵∡⪩⨒∯1101213)⫰⋱(⪹⪩⨒∯1330020)))=NaN","reverse_text":"NaN=((⊲⪭⪩⨒∯1322203)∪⫐⪩⨒∯120013⫒⫫⪩⨒∯313210)⇡⇂(⪩⨒∯303213∴⪩⨒∯102300↺(⪩⨒∯300231↸⪩⨒∯1213111))⇻⋧≁(⇖((⪩⨒∯1110012⩵∡⪩⨒∯1101213)⫰⋱(⪹⪩⨒∯1330020)))","cot":[{"info":"⊲⪭⪩⨒∯1322203=⪩⨒∯-1331101","layer":3},{"info":"⪩⨒∯120013⫒⫫⪩⨒∯313210=NaN","layer":3},{"info":"⪩⨒∯-1331101∪⫐NaN=⪩⨒∯-1331101","layer":2},{"info":"⪩⨒∯303213∴⪩⨒∯102300=⪩⨒∯2000332","layer":3},{"info":"⪩⨒∯300231↸⪩⨒∯1213111=⪩⨒∯300231","layer":3},{"info":"⪩⨒∯2000332↺⪩⨒∯300231=⪩⨒∯300231","layer":2},{"info":"⪩⨒∯-1331101⇡⇂⪩⨒∯300231=NaN","layer":1},{"info":"⪩⨒∯1110012⩵∡⪩⨒∯1101213=⪩⨒∯-1120132","layer":3},{"info":"⪹⪩⨒∯1330020=⪩⨒∯-1321110","layer":3},{"info":"⪩⨒∯-1120132⫰⋱⪩⨒∯-1321110=⪩⨒∯3102311","layer":2},{"info":"⇖⪩⨒∯3102311=⪩⨒∯2200","layer":1},{"info":"NaN⇻⋧≁⪩⨒∯2200=NaN","layer":0}]}
{"id":368,"expression_no_base_symbol":"(↥(($2943$⇼⇔∾$2172$)↙$3172$⨓$1501$))⨪↰⇹(∤↝($3266$⨔≚≋$3315$)≚⊃≕(⋂$1427$))","expression":"(↥((⪩⨒∯231333⇼⇔∾⪩⨒∯201330)↙⪩⨒∯301210⨓⪩⨒∯113131))⨪↰⇹(∤↝(⪩⨒∯303002⨔≚≋⪩⨒∯303303)≚⊃≕(⋂⪩⨒∯112103))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1661,"operation_count":9,"complexity_ratio":184.55555555555554,"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":2943,"base":4},"right_expr":{"type":"numeric_atoms","value":2172,"base":4}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3172,"base":4},"right_expr":{"type":"numeric_atoms","value":1501,"base":4}}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3266,"base":4},"right_expr":{"type":"numeric_atoms","value":3315,"base":4}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1427,"base":4}}}}},"used_operators":["tmPS8pqC7x","A8NUZmVepG","yyfyN0ffXY","tifHPKVTfV","3ViojmjbAp","3UMq87Qwqg","Bmrmz2XGnR","Z57zeUYC9z","BUOGQAYlQx"],"dependent_operators":["rJVOvQCfKK","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C"],"result":"⪩⨒∯231","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2943","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=2172, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-771","layer":3},{"info":"number node, value=3172","layer":4},{"info":"number node, value=1501","layer":4},{"info":"compute binary expreesion, left_input=3172, right_input=1501, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1504","layer":3},{"info":"compute binary expreesion, left_input=-771, right_input=-1504, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-771","layer":2},{"info":"compute unary expreesion, input=-771, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=45","layer":1},{"info":"number node, value=3266","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=3266, right_input=3315, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-19382","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-19382, 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=558","layer":2},{"info":"compute unary expreesion, input=558, 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=558","layer":1},{"info":"compute binary expreesion, left_input=45, right_input=558, 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=45","layer":0}],"base":4,"result_base":4,"text":"(↥((⪩⨒∯231333⇼⇔∾⪩⨒∯201330)↙⪩⨒∯301210⨓⪩⨒∯113131))⨪↰⇹(∤↝(⪩⨒∯303002⨔≚≋⪩⨒∯303303)≚⊃≕(⋂⪩⨒∯112103))=⪩⨒∯231","reverse_text":"⪩⨒∯231=(↥((⪩⨒∯231333⇼⇔∾⪩⨒∯201330)↙⪩⨒∯301210⨓⪩⨒∯113131))⨪↰⇹(∤↝(⪩⨒∯303002⨔≚≋⪩⨒∯303303)≚⊃≕(⋂⪩⨒∯112103))","cot":[{"info":"⪩⨒∯231333⇼⇔∾⪩⨒∯201330=⪩⨒∯-30003","layer":3},{"info":"⪩⨒∯301210⨓⪩⨒∯113131=⪩⨒∯-113200","layer":3},{"info":"⪩⨒∯-30003↙⪩⨒∯-113200=⪩⨒∯-30003","layer":2},{"info":"↥⪩⨒∯-30003=⪩⨒∯231","layer":1},{"info":"⪩⨒∯303002⨔≚≋⪩⨒∯303303=⪩⨒∯2122100","layer":3},{"info":"⋂⪩⨒∯112103=⪩⨒∯-10232312","layer":3},{"info":"⪩⨒∯2122100≚⊃≕⪩⨒∯-10232312=⪩⨒∯20232","layer":2},{"info":"∤↝⪩⨒∯20232=⪩⨒∯20232","layer":1},{"info":"⪩⨒∯231⨪↰⇹⪩⨒∯20232=⪩⨒∯231","layer":0}]}
{"id":369,"expression_no_base_symbol":"(⇵⪽($3653$⫘$1005$⇄$2783$⇤$5105$))⋳⪒(↥($6135$⪶≀⋏$8200$)⩍⋽⫝̸($3533$⨓$4325$))","expression":"(⇵⪽(⪩⨒∯321011⫘⪩⨒∯33231⇄⪩⨒∯223133⇤⪩⨒∯1033301))⋳⪒(↥(⪩⨒∯1133313⪶≀⋏⪩⨒∯2000020)⩍⋽⫝̸(⪩⨒∯313031⨓⪩⨒∯1003211))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8838,"operation_count":9,"complexity_ratio":982.0,"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":3653,"base":4},"right_expr":{"type":"numeric_atoms","value":1005,"base":4}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2783,"base":4},"right_expr":{"type":"numeric_atoms","value":5105,"base":4}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":6135,"base":4},"right_expr":{"type":"numeric_atoms","value":8200,"base":4}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3533,"base":4},"right_expr":{"type":"numeric_atoms","value":4325,"base":4}}}}},"used_operators":["12rbrZMWeM","ZGCBLdVRRX","3EYGwJThht","48vC8HMD2b","YSKBFp38Pu","A8NUZmVepG","BiWNJpBvwn","zR4jO40bMj","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","U7g4x0WXJJ","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","k8jYdgA6NY","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"⪩⨒∯-11012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3653","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=1005, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=4300333","layer":3},{"info":"number node, value=2783","layer":4},{"info":"number node, value=5105","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=5105, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-36592","layer":3},{"info":"compute binary expreesion, left_input=4300333, right_input=-36592, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=0","layer":1},{"info":"number node, value=6135","layer":4},{"info":"number node, value=8200","layer":4},{"info":"compute binary expreesion, left_input=6135, right_input=8200, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-35037","layer":3},{"info":"number node, value=3533","layer":4},{"info":"number node, value=4325","layer":4},{"info":"compute binary expreesion, left_input=3533, right_input=4325, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4328","layer":3},{"info":"compute binary expreesion, left_input=-35037, right_input=-4328, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=30027","layer":2},{"info":"compute unary expreesion, input=30027, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=39","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=39, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-326","layer":0}],"base":4,"result_base":4,"text":"(⇵⪽(⪩⨒∯321011⫘⪩⨒∯33231⇄⪩⨒∯223133⇤⪩⨒∯1033301))⋳⪒(↥(⪩⨒∯1133313⪶≀⋏⪩⨒∯2000020)⩍⋽⫝̸(⪩⨒∯313031⨓⪩⨒∯1003211))=⪩⨒∯-11012","reverse_text":"⪩⨒∯-11012=(⇵⪽(⪩⨒∯321011⫘⪩⨒∯33231⇄⪩⨒∯223133⇤⪩⨒∯1033301))⋳⪒(↥(⪩⨒∯1133313⪶≀⋏⪩⨒∯2000020)⩍⋽⫝̸(⪩⨒∯313031⨓⪩⨒∯1003211))","cot":[{"info":"⪩⨒∯321011⫘⪩⨒∯33231=⪩⨒∯100121320231","layer":3},{"info":"⪩⨒∯223133⇤⪩⨒∯1033301=⪩⨒∯-20323300","layer":3},{"info":"⪩⨒∯100121320231⇄⪩⨒∯-20323300=⪩⨒∯0","layer":2},{"info":"⇵⪽⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1133313⪶≀⋏⪩⨒∯2000020=⪩⨒∯-20203131","layer":3},{"info":"⪩⨒∯313031⨓⪩⨒∯1003211=⪩⨒∯-1003220","layer":3},{"info":"⪩⨒∯-20203131⩍⋽⫝̸⪩⨒∯-1003220=⪩⨒∯13111023","layer":2},{"info":"↥⪩⨒∯13111023=⪩⨒∯213","layer":1},{"info":"⪩⨒∯0⋳⪒⪩⨒∯213=⪩⨒∯-11012","layer":0}]}
{"id":370,"expression_no_base_symbol":"($5374$⫳≱↱$1937$↸$1443$⊮⊟↴$1850$)∘($1810$∷$2372$-$1283$↹⊜$4067$)↸(⪡⇡≛(($2491$⪬∳)⪊≅))","expression":"(⪩⨒∯1103332⫳≱↱⪩⨒∯132101↸⪩⨒∯112203⊮⊟↴⪩⨒∯130322)∘(⪩⨒∯130102∷⪩⨒∯211010-⪩⨒∯110003↹⊜⪩⨒∯333203)↸(⪡⇡≛((⪩⨒∯212323⪬∳)⪊≅))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8050,"operation_count":11,"complexity_ratio":731.8181818181819,"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":5374,"base":4},"right_expr":{"type":"numeric_atoms","value":1937,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1443,"base":4},"right_expr":{"type":"numeric_atoms","value":1850,"base":4}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1810,"base":4},"right_expr":{"type":"numeric_atoms","value":2372,"base":4}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1283,"base":4},"right_expr":{"type":"numeric_atoms","value":4067,"base":4}}}},"right_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":2491,"base":4}}}}},"used_operators":["1eCjFl0mb9","Z5m6OM72h2","ZvLB05nZmT","QDVgd2eftb","rysDP5nf3Z","D3AQDKkPcf","9bazX3JMtO","qL4PrbW1Dq","bjFbhXSADs","O9U3z1385E"],"dependent_operators":["9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eH2TOUuTDT","rysDP5nf3Z","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA"],"result":"⪩⨒∯-12120","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5374","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=5374, right_input=1937, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1443","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=1850, 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=-204, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-204","layer":2},{"info":"number node, value=1810","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=2372, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2372","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=4067","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=4067, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-13798","layer":3},{"info":"compute binary expreesion, left_input=2372, right_input=-13798, op_id = rysDP5nf3Z binary_op_definition= 'None', output=16170","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=16170, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-408","layer":1},{"info":"number node, value=2491","layer":4},{"info":"compute unary expreesion, input=2491, 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 unary expreesion, input=-709, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-408, right_input=0, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-408","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1103332⫳≱↱⪩⨒∯132101↸⪩⨒∯112203⊮⊟↴⪩⨒∯130322)∘(⪩⨒∯130102∷⪩⨒∯211010-⪩⨒∯110003↹⊜⪩⨒∯333203)↸(⪡⇡≛((⪩⨒∯212323⪬∳)⪊≅))=⪩⨒∯-12120","reverse_text":"⪩⨒∯-12120=(⪩⨒∯1103332⫳≱↱⪩⨒∯132101↸⪩⨒∯112203⊮⊟↴⪩⨒∯130322)∘(⪩⨒∯130102∷⪩⨒∯211010-⪩⨒∯110003↹⊜⪩⨒∯333203)↸(⪡⇡≛((⪩⨒∯212323⪬∳)⪊≅))","cot":[{"info":"⪩⨒∯1103332⫳≱↱⪩⨒∯132101=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯112203⊮⊟↴⪩⨒∯130322=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-3030↸⪩⨒∯0=⪩⨒∯-3030","layer":2},{"info":"⪩⨒∯130102∷⪩⨒∯211010=⪩⨒∯211010","layer":3},{"info":"⪩⨒∯110003↹⊜⪩⨒∯333203=⪩⨒∯-3113212","layer":3},{"info":"⪩⨒∯211010-⪩⨒∯-3113212=⪩⨒∯3330222","layer":2},{"info":"⪩⨒∯-3030∘⪩⨒∯3330222=⪩⨒∯-12120","layer":1},{"info":"⪩⨒∯212323⪬∳=⪩⨒∯-23011","layer":3},{"info":"⪩⨒∯-23011⪊≅=⪩⨒∯0","layer":2},{"info":"⪡⇡≛⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-12120↸⪩⨒∯0=⪩⨒∯-12120","layer":0}]}
{"id":371,"expression_no_base_symbol":"⇤←($2766$⪨⊡$4100$)⊋(∂⩏⊆$1068$)*(⊽$2378$)≓∲($1619$∲⫓$1560$)","expression":"⇤←(⪩⨒∯223032⪨⊡⪩⨒∯1000010)⊋(∂⩏⊆⪩⨒∯100230)*(⊽⪩⨒∯211022)≓∲(⪩⨒∯121103∲⫓⪩⨒∯120120)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":71285,"operation_count":8,"complexity_ratio":8910.625,"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":2766,"base":4},"right_expr":{"type":"numeric_atoms","value":4100,"base":4}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1068,"base":4}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2378,"base":4}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1619,"base":4},"right_expr":{"type":"numeric_atoms","value":1560,"base":4}}}}},"used_operators":["jfAgQ2OQeM","9HNa5Wba9A","W4tP9CfskL","kuIXHzHcAH","8WDwsbhb0R","s1XTVnmDOJ","QxG7OkqoLX","i8ToyICDmI"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","W4YGzv6Whe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","14qkJME0vr","eLAdDNolq6","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2766","layer":4},{"info":"number node, value=4100","layer":4},{"info":"compute binary expreesion, left_input=2766, right_input=4100, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1068","layer":4},{"info":"compute unary expreesion, input=1068, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3283","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3283, 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=-71114","layer":2},{"info":"number node, value=2378","layer":4},{"info":"compute unary expreesion, input=2378, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=6278","layer":3},{"info":"number node, value=1619","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=1619, right_input=1560, 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=6278, 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=-321245","layer":2},{"info":"compute binary expreesion, left_input=-71114, right_input=-321245, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇤←(⪩⨒∯223032⪨⊡⪩⨒∯1000010)⊋(∂⩏⊆⪩⨒∯100230)*(⊽⪩⨒∯211022)≓∲(⪩⨒∯121103∲⫓⪩⨒∯120120)=NaN","reverse_text":"NaN=⇤←(⪩⨒∯223032⪨⊡⪩⨒∯1000010)⊋(∂⩏⊆⪩⨒∯100230)*(⊽⪩⨒∯211022)≓∲(⪩⨒∯121103∲⫓⪩⨒∯120120)","cot":[{"info":"⪩⨒∯223032⪨⊡⪩⨒∯1000010=⪩⨒∯0","layer":3},{"info":"∂⩏⊆⪩⨒∯100230=⪩⨒∯-303103","layer":3},{"info":"⪩⨒∯0⊋⪩⨒∯-303103=⪩⨒∯-101113022","layer":2},{"info":"⊽⪩⨒∯211022=⪩⨒∯1202012","layer":3},{"info":"⪩⨒∯121103∲⫓⪩⨒∯120120=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1202012≓∲⪩⨒∯0=⪩⨒∯-1032123131","layer":2},{"info":"⪩⨒∯-101113022*⪩⨒∯-1032123131=Inf","layer":1},{"info":"⇤←Inf=NaN","layer":0}]}
{"id":372,"expression_no_base_symbol":"⪸($4430$∠⫱$1223$⫃⨇($5891$⪣⫩)∟)","expression":"⪸(⪩⨒∯1011032∠⫱⪩⨒∯103013⫃⨇(⪩⨒∯1130003⪣⫩)∟)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":211872,"operation_count":5,"complexity_ratio":42374.4,"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":4430,"base":4},"right_expr":{"type":"numeric_atoms","value":1223,"base":4}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":5891,"base":4}}}}},"used_operators":["86A5ENbKR9","hTbEZDJLEm","09Ly4LVMIf","QvoQhV0rrE","iuk5sVOGFA"],"dependent_operators":["Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"⪩⨒∯-122300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4430","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=4430, right_input=1223, 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=5891","layer":4},{"info":"compute unary expreesion, input=5891, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=17640","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=17640, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-70592","layer":2},{"info":"compute unary expreesion, input=-70592, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":1},{"info":"compute unary expreesion, input=113, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-1712","layer":0}],"base":4,"result_base":4,"text":"⪸(⪩⨒∯1011032∠⫱⪩⨒∯103013⫃⨇(⪩⨒∯1130003⪣⫩)∟)=⪩⨒∯-122300","reverse_text":"⪩⨒∯-122300=⪸(⪩⨒∯1011032∠⫱⪩⨒∯103013⫃⨇(⪩⨒∯1130003⪣⫩)∟)","cot":[{"info":"⪩⨒∯1011032∠⫱⪩⨒∯103013=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯1130003⪣⫩=⪩⨒∯10103220","layer":3},{"info":"⪩⨒∯103102⫃⨇⪩⨒∯10103220=⪩⨒∯-101033000","layer":2},{"info":"⪩⨒∯-101033000∟=⪩⨒∯1301","layer":1},{"info":"⪸⪩⨒∯1301=⪩⨒∯-122300","layer":0}]}
{"id":373,"expression_no_base_symbol":"($2517$∴$8697$⋫)≚⊃≕($1941$⇉⇉)≹⇙⪍($1345$⋳⪒$1216$)⫍⨯↯","expression":"(⪩⨒∯213111∴⪩⨒∯2013321⋫)≚⊃≕(⪩⨒∯132111⇉⇉)≹⇙⪍(⪩⨒∯111001⋳⪒⪩⨒∯103000)⫍⨯↯","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6784,"operation_count":7,"complexity_ratio":969.1428571428571,"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":2517,"base":4},"right_expr":{"type":"numeric_atoms","value":8697,"base":4}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":1941,"base":4}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1345,"base":4},"right_expr":{"type":"numeric_atoms","value":1216,"base":4}}}}},"used_operators":["ZcwmYACASQ","Bmrmz2XGnR","JL8yIekQnl","hrf7POJlIJ","AHs5Up7iyr","diKm42VcIt","12rbrZMWeM"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","tmPS8pqC7x","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","dWAJyo7jo9","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯-2012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2517","layer":4},{"info":"number node, value=8697","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=8697, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=6682","layer":3},{"info":"compute unary expreesion, input=6682, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=6682","layer":2},{"info":"number node, value=1941","layer":4},{"info":"compute unary expreesion, input=1941, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-117244","layer":3},{"info":"number node, value=1345","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=1216, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1187","layer":3},{"info":"compute binary expreesion, left_input=-117244, right_input=1187, 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=6682, 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=-30122","layer":1},{"info":"compute unary expreesion, input=-30122, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-134","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯213111∴⪩⨒∯2013321⋫)≚⊃≕(⪩⨒∯132111⇉⇉)≹⇙⪍(⪩⨒∯111001⋳⪒⪩⨒∯103000)⫍⨯↯=⪩⨒∯-2012","reverse_text":"⪩⨒∯-2012=(⪩⨒∯213111∴⪩⨒∯2013321⋫)≚⊃≕(⪩⨒∯132111⇉⇉)≹⇙⪍(⪩⨒∯111001⋳⪒⪩⨒∯103000)⫍⨯↯","cot":[{"info":"⪩⨒∯213111∴⪩⨒∯2013321=⪩⨒∯1220122","layer":3},{"info":"⪩⨒∯1220122⋫=⪩⨒∯1220122","layer":2},{"info":"⪩⨒∯132111⇉⇉=⪩⨒∯-130213330","layer":3},{"info":"⪩⨒∯111001⋳⪒⪩⨒∯103000=⪩⨒∯102203","layer":3},{"info":"⪩⨒∯-130213330≹⇙⪍⪩⨒∯102203=NaN","layer":2},{"info":"⪩⨒∯1220122≚⊃≕NaN=⪩⨒∯-13112222","layer":1},{"info":"⪩⨒∯-13112222⫍⨯↯=⪩⨒∯-2012","layer":0}]}
{"id":374,"expression_no_base_symbol":"(≛$1845$↞⋁$1955$↓(⪝⪂⫅$3801$))⊧↖","expression":"(≛⪩⨒∯130311↞⋁⪩⨒∯132203↓(⪝⪂⫅⪩⨒∯323121))⊧↖","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1189,"operation_count":5,"complexity_ratio":237.8,"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":1845,"base":4},"right_expr":{"type":"numeric_atoms","value":1955,"base":4}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3801,"base":4}}}}},"used_operators":["EKiFHuOFxO","W7eaUhjymW","Af076pWI7l","RqrPlJkxDo","XTarYq4gQB"],"dependent_operators":["5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪩⨒∯11310020120","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1845","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=1955, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=3801","layer":4},{"info":"compute unary expreesion, input=3801, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-558747","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-558747, 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 = 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=-505","layer":1},{"info":"compute unary expreesion, input=-505, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=1524248","layer":0}],"base":4,"result_base":4,"text":"(≛⪩⨒∯130311↞⋁⪩⨒∯132203↓(⪝⪂⫅⪩⨒∯323121))⊧↖=⪩⨒∯11310020120","reverse_text":"⪩⨒∯11310020120=(≛⪩⨒∯130311↞⋁⪩⨒∯132203↓(⪝⪂⫅⪩⨒∯323121))⊧↖","cot":[{"info":"⪩⨒∯130311↞⋁⪩⨒∯132203=NaN","layer":3},{"info":"⪝⪂⫅⪩⨒∯323121=⪩⨒∯-2020122123","layer":3},{"info":"NaN↓⪩⨒∯-2020122123=⪩⨒∯-2012","layer":2},{"info":"≛⪩⨒∯-2012=⪩⨒∯-13321","layer":1},{"info":"⪩⨒∯-13321⊧↖=⪩⨒∯11310020120","layer":0}]}
{"id":375,"expression_no_base_symbol":"($7710$⨐$5782$≦↸($3034$⫦⪉$6361$)⊘)⇉⇉","expression":"(⪩⨒∯1320132⨐⪩⨒∯1122112≦↸(⪩⨒∯233122⫦⪉⪩⨒∯1203121)⊘)⇉⇉","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":123,"operation_count":5,"complexity_ratio":24.6,"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":7710,"base":4},"right_expr":{"type":"numeric_atoms","value":5782,"base":4}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":3034,"base":4},"right_expr":{"type":"numeric_atoms","value":6361,"base":4}}}}},"used_operators":["diKm42VcIt","gu96TGCTMs","RygbFNSyEJ","Noe24qw2ks","wscyQdcy20"],"dependent_operators":["RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⪩⨒∯1213330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7710","layer":4},{"info":"number node, value=5782","layer":4},{"info":"compute binary expreesion, left_input=7710, right_input=5782, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-15420","layer":3},{"info":"number node, value=3034","layer":4},{"info":"number node, value=6361","layer":4},{"info":"compute binary expreesion, left_input=3034, right_input=6361, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1168","layer":3},{"info":"compute binary expreesion, left_input=-15420, right_input=-1168, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=16101","layer":2},{"info":"compute unary expreesion, input=16101, 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":1},{"info":"compute unary expreesion, input=0, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=6652","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1320132⨐⪩⨒∯1122112≦↸(⪩⨒∯233122⫦⪉⪩⨒∯1203121)⊘)⇉⇉=⪩⨒∯1213330","reverse_text":"⪩⨒∯1213330=(⪩⨒∯1320132⨐⪩⨒∯1122112≦↸(⪩⨒∯233122⫦⪉⪩⨒∯1203121)⊘)⇉⇉","cot":[{"info":"⪩⨒∯1320132⨐⪩⨒∯1122112=⪩⨒∯-3300330","layer":3},{"info":"⪩⨒∯233122⫦⪉⪩⨒∯1203121=⪩⨒∯-102100","layer":3},{"info":"⪩⨒∯-3300330≦↸⪩⨒∯-102100=⪩⨒∯3323211","layer":2},{"info":"⪩⨒∯3323211⊘=⪩⨒∯0","layer":1},{"info":"⪩⨒∯0⇉⇉=⪩⨒∯1213330","layer":0}]}
{"id":376,"expression_no_base_symbol":"(↯⪼($4424$⩏))⊢($4752$⪶≀⋏$2501$)≁($1576$⨪↰⇹$1585$)⩚⊴⇥(≀↧⇸((⨣⨃⇪$3119$)⩷∴($6353$⨑≵⋬$4064$)))","expression":"(↯⪼(⪩⨒∯1011020⩏))⊢(⪩⨒∯1022100⪶≀⋏⪩⨒∯213011)≁(⪩⨒∯120220⨪↰⇹⪩⨒∯120301)⩚⊴⇥(≀↧⇸((⨣⨃⇪⪩⨒∯300233)⩷∴(⪩⨒∯1203101⨑≵⋬⪩⨒∯333200)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2298,"operation_count":11,"complexity_ratio":208.9090909090909,"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":4424,"base":4}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4752,"base":4},"right_expr":{"type":"numeric_atoms","value":2501,"base":4}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1576,"base":4},"right_expr":{"type":"numeric_atoms","value":1585,"base":4}}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"numeric_atoms","value":3119,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":6353,"base":4},"right_expr":{"type":"numeric_atoms","value":4064,"base":4}}}}},"used_operators":["NTOWxs364D","5twsqlHp2o","8jW3W4yZS5","iA2gmKZ3Wj","8N2wDY1A35","zR4jO40bMj","tmPS8pqC7x","ljTHtUsqzn","9FxExcQeMw","AcOhelriW5","XnXgA4xnOs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","z6LnFrNh4i","Tcnh7f0tEr","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","rJVOvQCfKK","XPYlsWDdGa","23Mk6UjR3U","rysDP5nf3Z","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⪩⨒∯-12130013","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4424","layer":4},{"info":"compute unary expreesion, input=4424, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, 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=4752","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=4752, right_input=2501, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19490","layer":3},{"info":"number node, value=1576","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=1576, right_input=1585, 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=1576","layer":3},{"info":"compute binary expreesion, left_input=-19490, right_input=1576, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=24623","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=24623, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-202","layer":1},{"info":"number node, value=3119","layer":4},{"info":"compute unary expreesion, input=3119, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=6353","layer":4},{"info":"number node, value=4064","layer":4},{"info":"compute binary expreesion, left_input=6353, right_input=4064, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=4696","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=4696, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6614","layer":2},{"info":"compute unary expreesion, input=-6614, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=26456","layer":1},{"info":"compute binary expreesion, left_input=-202, right_input=26456, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-26375","layer":0}],"base":4,"result_base":4,"text":"(↯⪼(⪩⨒∯1011020⩏))⊢(⪩⨒∯1022100⪶≀⋏⪩⨒∯213011)≁(⪩⨒∯120220⨪↰⇹⪩⨒∯120301)⩚⊴⇥(≀↧⇸((⨣⨃⇪⪩⨒∯300233)⩷∴(⪩⨒∯1203101⨑≵⋬⪩⨒∯333200)))=⪩⨒∯-12130013","reverse_text":"⪩⨒∯-12130013=(↯⪼(⪩⨒∯1011020⩏))⊢(⪩⨒∯1022100⪶≀⋏⪩⨒∯213011)≁(⪩⨒∯120220⨪↰⇹⪩⨒∯120301)⩚⊴⇥(≀↧⇸((⨣⨃⇪⪩⨒∯300233)⩷∴(⪩⨒∯1203101⨑≵⋬⪩⨒∯333200)))","cot":[{"info":"⪩⨒∯1011020⩏=⪩⨒∯0","layer":3},{"info":"↯⪼⪩⨒∯0=⪩⨒∯-111","layer":2},{"info":"⪩⨒∯1022100⪶≀⋏⪩⨒∯213011=⪩⨒∯-10300202","layer":3},{"info":"⪩⨒∯120220⨪↰⇹⪩⨒∯120301=⪩⨒∯120220","layer":3},{"info":"⪩⨒∯-10300202≁⪩⨒∯120220=⪩⨒∯12000233","layer":2},{"info":"⪩⨒∯-111⊢⪩⨒∯12000233=⪩⨒∯-3022","layer":1},{"info":"⨣⨃⇪⪩⨒∯300233=⪩⨒∯111331","layer":3},{"info":"⪩⨒∯1203101⨑≵⋬⪩⨒∯333200=⪩⨒∯1021120","layer":3},{"info":"⪩⨒∯111331⩷∴⪩⨒∯1021120=⪩⨒∯-1213112","layer":2},{"info":"≀↧⇸⪩⨒∯-1213112=⪩⨒∯12131120","layer":1},{"info":"⪩⨒∯-3022⩚⊴⇥⪩⨒∯12131120=⪩⨒∯-12130013","layer":0}]}
{"id":377,"expression_no_base_symbol":"⊊≼∋(($1129$⫌⩹⨱)⪥($1188$≧⫂∧$1384$)/($3818$⩘$5886$∽$2786$⇡⇂$2941$))","expression":"⊊≼∋((⪩⨒∯101221⫌⩹⨱)⪥(⪩⨒∯102210≧⫂∧⪩⨒∯111220)/(⪩⨒∯323222⩘⪩⨒∯1123332∽⪩⨒∯223202⇡⇂⪩⨒∯231331))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17277,"operation_count":8,"complexity_ratio":2159.625,"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":1129,"base":4}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1188,"base":4},"right_expr":{"type":"numeric_atoms","value":1384,"base":4}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3818,"base":4},"right_expr":{"type":"numeric_atoms","value":5886,"base":4}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2786,"base":4},"right_expr":{"type":"numeric_atoms","value":2941,"base":4}}}}},"used_operators":["FWz7pXsQhA","XhwjNDsVaA","QbnwKVWMIQ","EBcxylXtPf","Ph9nP6C5qx","y4ImoPnbV5","cHh1gJQ2o6","UMwdvZNt44"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","rysDP5nf3Z","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"compute unary expreesion, input=1129, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3659","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1384, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=911","layer":3},{"info":"compute binary expreesion, left_input=3659, right_input=911, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=19288","layer":2},{"info":"number node, value=3818","layer":4},{"info":"number node, value=5886","layer":4},{"info":"compute binary expreesion, left_input=3818, right_input=5886, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=2786","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=2786, right_input=2941, 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 = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19288, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⊊≼∋((⪩⨒∯101221⫌⩹⨱)⪥(⪩⨒∯102210≧⫂∧⪩⨒∯111220)/(⪩⨒∯323222⩘⪩⨒∯1123332∽⪩⨒∯223202⇡⇂⪩⨒∯231331))=NaN","reverse_text":"NaN=⊊≼∋((⪩⨒∯101221⫌⩹⨱)⪥(⪩⨒∯102210≧⫂∧⪩⨒∯111220)/(⪩⨒∯323222⩘⪩⨒∯1123332∽⪩⨒∯223202⇡⇂⪩⨒∯231331))","cot":[{"info":"⪩⨒∯101221⫌⩹⨱=⪩⨒∯321023","layer":3},{"info":"⪩⨒∯102210≧⫂∧⪩⨒∯111220=⪩⨒∯32033","layer":3},{"info":"⪩⨒∯321023⪥⪩⨒∯32033=⪩⨒∯10231120","layer":2},{"info":"⪩⨒∯323222⩘⪩⨒∯1123332=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯223202⇡⇂⪩⨒∯231331=NaN","layer":3},{"info":"⪩⨒∯2200∽NaN=NaN","layer":2},{"info":"⪩⨒∯10231120/NaN=NaN","layer":1},{"info":"⊊≼∋NaN=NaN","layer":0}]}
{"id":378,"expression_no_base_symbol":"(($2635$≓∲$1047$)⇴∐($2764$⪗)∠⫱$1036$⪔⊥$7543$⪘⫢($2336$⩚⊴⇥$1090$))+⪬∐((∟⋨(↔$1242$))⪢(($3576$⪨≂$1581$)⨸⪁$1099$⪛⫼$4954$))","expression":"((⪩⨒∯221023≓∲⪩⨒∯100113)⇴∐(⪩⨒∯223030⪗)∠⫱⪩⨒∯100030⪔⊥⪩⨒∯1311313⪘⫢(⪩⨒∯210200⩚⊴⇥⪩⨒∯101002))+⪬∐((∟⋨(↔⪩⨒∯103122))⪢((⪩⨒∯313320⪨≂⪩⨒∯120231)⨸⪁⪩⨒∯101023⪛⫼⪩⨒∯1031122))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":14280,"operation_count":14,"complexity_ratio":1020.0,"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":2635,"base":4},"right_expr":{"type":"numeric_atoms","value":1047,"base":4}},"right_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2764,"base":4}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1036,"base":4},"right_expr":{"type":"numeric_atoms","value":7543,"base":4}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2336,"base":4},"right_expr":{"type":"numeric_atoms","value":1090,"base":4}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1242,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3576,"base":4},"right_expr":{"type":"numeric_atoms","value":1581,"base":4}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1099,"base":4},"right_expr":{"type":"numeric_atoms","value":4954,"base":4}}}}},"used_operators":["2GS7woTJqF","QvoQhV0rrE","HnzytWxmAO","s1XTVnmDOJ","VEQNXA0ZBg","oacrs7FA3X","HJ9erzHUuu","NTOWxs364D","dWAJyo7jo9","ctOc4cKSDt","ruOEQAzv1W","g55IO6H4Gj","sdazOOVcIp","hyuBjUqXlG"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","eLAdDNolq6","tmPS8pqC7x","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2635","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=1047, 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=27133","layer":3},{"info":"number node, value=2764","layer":4},{"info":"compute unary expreesion, input=2764, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=27133, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=1036","layer":4},{"info":"number node, value=7543","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=7543, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-11141","layer":3},{"info":"number node, value=2336","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=2336, right_input=1090, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3547","layer":3},{"info":"compute binary expreesion, left_input=-11141, right_input=-3547, 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=nan, right_input=-1, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":1},{"info":"number node, value=1242","layer":4},{"info":"compute unary expreesion, input=1242, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-969","layer":3},{"info":"compute unary expreesion, input=-969, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-485","layer":2},{"info":"number node, value=3576","layer":4},{"info":"number node, value=1581","layer":4},{"info":"compute binary expreesion, left_input=3576, right_input=1581, 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=4092","layer":3},{"info":"number node, value=1099","layer":4},{"info":"number node, value=4954","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=4954, 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=4092, right_input=968, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10120","layer":2},{"info":"compute binary expreesion, left_input=-485, right_input=10120, 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=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯221023≓∲⪩⨒∯100113)⇴∐(⪩⨒∯223030⪗)∠⫱⪩⨒∯100030⪔⊥⪩⨒∯1311313⪘⫢(⪩⨒∯210200⩚⊴⇥⪩⨒∯101002))+⪬∐((∟⋨(↔⪩⨒∯103122))⪢((⪩⨒∯313320⪨≂⪩⨒∯120231)⨸⪁⪩⨒∯101023⪛⫼⪩⨒∯1031122))=NaN","reverse_text":"NaN=((⪩⨒∯221023≓∲⪩⨒∯100113)⇴∐(⪩⨒∯223030⪗)∠⫱⪩⨒∯100030⪔⊥⪩⨒∯1311313⪘⫢(⪩⨒∯210200⩚⊴⇥⪩⨒∯101002))+⪬∐((∟⋨(↔⪩⨒∯103122))⪢((⪩⨒∯313320⪨≂⪩⨒∯120231)⨸⪁⪩⨒∯101023⪛⫼⪩⨒∯1031122))","cot":[{"info":"⪩⨒∯221023≓∲⪩⨒∯100113=⪩⨒∯12213331","layer":3},{"info":"⪩⨒∯223030⪗=NaN","layer":3},{"info":"⪩⨒∯12213331⇴∐NaN=NaN","layer":2},{"info":"⪩⨒∯100030⪔⊥⪩⨒∯1311313=⪩⨒∯-2232011","layer":3},{"info":"⪩⨒∯210200⩚⊴⇥⪩⨒∯101002=⪩⨒∯-313123","layer":3},{"info":"⪩⨒∯-2232011⪘⫢⪩⨒∯-313123=⪩⨒∯-1","layer":2},{"info":"NaN∠⫱⪩⨒∯-1=NaN","layer":1},{"info":"↔⪩⨒∯103122=⪩⨒∯-33021","layer":3},{"info":"∟⋨⪩⨒∯-33021=⪩⨒∯-13211","layer":2},{"info":"⪩⨒∯313320⪨≂⪩⨒∯120231=⪩⨒∯333330","layer":3},{"info":"⪩⨒∯101023⪛⫼⪩⨒∯1031122=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯333330⨸⪁⪩⨒∯33020=⪩⨒∯2132020","layer":2},{"info":"⪩⨒∯-13211⪢⪩⨒∯2132020=NaN","layer":1},{"info":"NaN+⪬∐NaN=NaN","layer":0}]}
{"id":379,"expression_no_base_symbol":"≑⋹((⨆≐≲($5331$≦↸$1675$))⨚(($2666$⪉⨛$1274$)⫥∨⫟$3520$⇴∐$3422$))","expression":"≑⋹((⨆≐≲(⪩⨒∯1103103≦↸⪩⨒∯122023))⨚((⪩⨒∯221222⪉⨛⪩⨒∯103322)⫥∨⫟⪩⨒∯313000⇴∐⪩⨒∯311132))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":432,"operation_count":7,"complexity_ratio":61.714285714285715,"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":5331,"base":4},"right_expr":{"type":"numeric_atoms","value":1675,"base":4}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2666,"base":4},"right_expr":{"type":"numeric_atoms","value":1274,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":3520,"base":4},"right_expr":{"type":"numeric_atoms","value":3422,"base":4}}}}},"used_operators":["6B9nyZLogK","nREPSIbpBE","Bi9z9uYZqW","RygbFNSyEJ","KYD54nUTWz","EWw2JM7wp4","HnzytWxmAO"],"dependent_operators":["aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","BjRHVeLaeN","12rbrZMWeM","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","8HhzD0ZcuI","rGHVDoGpnC","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5331","layer":4},{"info":"number node, value=1675","layer":4},{"info":"compute binary expreesion, left_input=5331, right_input=1675, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13331","layer":3},{"info":"compute unary expreesion, input=-13331, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"number node, value=2666","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=1274, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=6939","layer":3},{"info":"number node, value=3520","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=3520, right_input=3422, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6939, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-168548, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"≑⋹((⨆≐≲(⪩⨒∯1103103≦↸⪩⨒∯122023))⨚((⪩⨒∯221222⪉⨛⪩⨒∯103322)⫥∨⫟⪩⨒∯313000⇴∐⪩⨒∯311132))=NaN","reverse_text":"NaN=≑⋹((⨆≐≲(⪩⨒∯1103103≦↸⪩⨒∯122023))⨚((⪩⨒∯221222⪉⨛⪩⨒∯103322)⫥∨⫟⪩⨒∯313000⇴∐⪩⨒∯311132))","cot":[{"info":"⪩⨒∯1103103≦↸⪩⨒∯122023=⪩⨒∯-3100103","layer":3},{"info":"⨆≐≲⪩⨒∯-3100103=⪩⨒∯-221021210","layer":2},{"info":"⪩⨒∯221222⪉⨛⪩⨒∯103322=⪩⨒∯1230123","layer":3},{"info":"⪩⨒∯313000⇴∐⪩⨒∯311132=NaN","layer":3},{"info":"⪩⨒∯1230123⫥∨⫟NaN=NaN","layer":2},{"info":"⪩⨒∯-221021210⨚NaN=NaN","layer":1},{"info":"≑⋹NaN=NaN","layer":0}]}
{"id":380,"expression_no_base_symbol":"($1108$∈)⫞⩸⩒(⩎⋉$6187$)⪉⨛($4866$⇗⋫)≴⪞⇿($1145$*$1484$)⨸⪁((⫟$2780$)⇣⩺⋵(≉$3051$))⩣⫁∢(↘$2002$↞⋁$3988$)","expression":"(⪩⨒∯101110∈)⫞⩸⩒(⩎⋉⪩⨒∯1200223)⪉⨛(⪩⨒∯1030002⇗⋫)≴⪞⇿(⪩⨒∯101321*⪩⨒∯113030)⨸⪁((⫟⪩⨒∯223130)⇣⩺⋵(≉⪩⨒∯233223))⩣⫁∢(↘⪩⨒∯133102↞⋁⪩⨒∯332110)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1592,"operation_count":14,"complexity_ratio":113.71428571428571,"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":1108,"base":4}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":6187,"base":4}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"numeric_atoms","value":4866,"base":4}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1145,"base":4},"right_expr":{"type":"numeric_atoms","value":1484,"base":4}}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":2780,"base":4}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3051,"base":4}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2002,"base":4},"right_expr":{"type":"numeric_atoms","value":3988,"base":4}}}}},"used_operators":["g55IO6H4Gj","EWw2JM7wp4","XGcMNugi78","ztP7wcbY7m","FlXk3pOYe8","lvlrscuwVU","hpqmaQFPrd","9HNa5Wba9A","JDUIKTTSIa","F4yD0voBRQ","z4E1FaHLuy","e1ybzncUwg","LdNpr8hQHL","RqrPlJkxDo"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rxpJgHHUmx","W4YGzv6Whe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=2653","layer":3},{"info":"number node, value=6187","layer":4},{"info":"compute unary expreesion, input=6187, 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=2653, right_input=1650, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1650","layer":2},{"info":"number node, value=4866","layer":4},{"info":"compute unary expreesion, input=4866, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=1484, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1699180","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1699180, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1650, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=2780","layer":4},{"info":"compute unary expreesion, input=2780, 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=-7433","layer":3},{"info":"number node, value=3051","layer":4},{"info":"compute unary expreesion, input=3051, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3582","layer":3},{"info":"compute binary expreesion, left_input=-7433, right_input=3582, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-36834","layer":2},{"info":"number node, value=2002","layer":4},{"info":"number node, value=3988","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=3988, 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 = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-36834, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', 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":4,"result_base":4,"text":"(⪩⨒∯101110∈)⫞⩸⩒(⩎⋉⪩⨒∯1200223)⪉⨛(⪩⨒∯1030002⇗⋫)≴⪞⇿(⪩⨒∯101321*⪩⨒∯113030)⨸⪁((⫟⪩⨒∯223130)⇣⩺⋵(≉⪩⨒∯233223))⩣⫁∢(↘⪩⨒∯133102↞⋁⪩⨒∯332110)=NaN","reverse_text":"NaN=(⪩⨒∯101110∈)⫞⩸⩒(⩎⋉⪩⨒∯1200223)⪉⨛(⪩⨒∯1030002⇗⋫)≴⪞⇿(⪩⨒∯101321*⪩⨒∯113030)⨸⪁((⫟⪩⨒∯223130)⇣⩺⋵(≉⪩⨒∯233223))⩣⫁∢(↘⪩⨒∯133102↞⋁⪩⨒∯332110)","cot":[{"info":"⪩⨒∯101110∈=⪩⨒∯221131","layer":3},{"info":"⩎⋉⪩⨒∯1200223=⪩⨒∯121302","layer":3},{"info":"⪩⨒∯221131⫞⩸⩒⪩⨒∯121302=⪩⨒∯121302","layer":2},{"info":"⪩⨒∯1030002⇗⋫=NaN","layer":3},{"info":"⪩⨒∯101321*⪩⨒∯113030=⪩⨒∯12132311230","layer":3},{"info":"NaN≴⪞⇿⪩⨒∯12132311230=NaN","layer":2},{"info":"⪩⨒∯121302⪉⨛NaN=NaN","layer":1},{"info":"⫟⪩⨒∯223130=⪩⨒∯-1310021","layer":3},{"info":"≉⪩⨒∯233223=⪩⨒∯313332","layer":3},{"info":"⪩⨒∯-1310021⇣⩺⋵⪩⨒∯313332=⪩⨒∯-20333202","layer":2},{"info":"⪩⨒∯133102↞⋁⪩⨒∯332110=NaN","layer":3},{"info":"↘NaN=NaN","layer":2},{"info":"⪩⨒∯-20333202⩣⫁∢NaN=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":381,"expression_no_base_symbol":"(($1118$⨭⪣$1005$)≃(⇖$1547$))⨪↰⇹($4470$≎⪠$2837$)⪃⊛⇣($1858$⋝⋈⪟$1950$)∷($3653$⩁⩘$1554$↼⊘⨖($1155$⋥≓≎$2945$)⫌⩉⩟($6760$⫳≱↱$1159$)≀⫉($2285$⩷∴$2241$))","expression":"((⪩⨒∯101132⨭⪣⪩⨒∯33231)≃(⇖⪩⨒∯120023))⨪↰⇹(⪩⨒∯1011312≎⪠⪩⨒∯230111)⪃⊛⇣(⪩⨒∯131002⋝⋈⪟⪩⨒∯132132)∷(⪩⨒∯321011⩁⩘⪩⨒∯120102↼⊘⨖(⪩⨒∯102003⋥≓≎⪩⨒∯232001)⫌⩉⩟(⪩⨒∯1221220⫳≱↱⪩⨒∯102013)≀⫉(⪩⨒∯203231⩷∴⪩⨒∯203001))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":35994,"operation_count":15,"complexity_ratio":2399.6,"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":1118,"base":4},"right_expr":{"type":"numeric_atoms","value":1005,"base":4}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1547,"base":4}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":4470,"base":4},"right_expr":{"type":"numeric_atoms","value":2837,"base":4}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1858,"base":4},"right_expr":{"type":"numeric_atoms","value":1950,"base":4}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3653,"base":4},"right_expr":{"type":"numeric_atoms","value":1554,"base":4}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1155,"base":4},"right_expr":{"type":"numeric_atoms","value":2945,"base":4}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":6760,"base":4},"right_expr":{"type":"numeric_atoms","value":1159,"base":4}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2285,"base":4},"right_expr":{"type":"numeric_atoms","value":2241,"base":4}}}}},"used_operators":["D3AQDKkPcf","tmPS8pqC7x","YbVcJGFEVW","kn8WO9XteQ","tfWHHpNKUN","rrgAzCduG9","aNhz54LH3e","2DDjHMKMc0","XIIwhv8d0m","bPywburJMS","gub5Cegaqo","Qy55tPpLXF","oZj3VtZNQx","ZvLB05nZmT","9FxExcQeMw"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2DQ55sFlQl","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z"],"result":"⪩⨒∯20312","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1118","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=1005, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-161","layer":3},{"info":"number node, value=1547","layer":4},{"info":"compute unary expreesion, input=1547, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-161, right_input=160, 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=-1360","layer":2},{"info":"number node, value=4470","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=4470, right_input=2837, 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=1858","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=1858, right_input=1950, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1858","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=1858, 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=-1360, right_input=1234, 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=-1360","layer":1},{"info":"number node, value=3653","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=1554, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7164","layer":3},{"info":"number node, value=1155","layer":4},{"info":"number node, value=2945","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=2945, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4768","layer":3},{"info":"compute binary expreesion, left_input=7164, right_input=4768, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9314","layer":2},{"info":"number node, value=6760","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=6760, right_input=1159, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=2285","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=2241, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=56","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=56, 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=9314, right_input=2822, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=-1360, right_input=-50, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=566","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯101132⨭⪣⪩⨒∯33231)≃(⇖⪩⨒∯120023))⨪↰⇹(⪩⨒∯1011312≎⪠⪩⨒∯230111)⪃⊛⇣(⪩⨒∯131002⋝⋈⪟⪩⨒∯132132)∷(⪩⨒∯321011⩁⩘⪩⨒∯120102↼⊘⨖(⪩⨒∯102003⋥≓≎⪩⨒∯232001)⫌⩉⩟(⪩⨒∯1221220⫳≱↱⪩⨒∯102013)≀⫉(⪩⨒∯203231⩷∴⪩⨒∯203001))=⪩⨒∯20312","reverse_text":"⪩⨒∯20312=((⪩⨒∯101132⨭⪣⪩⨒∯33231)≃(⇖⪩⨒∯120023))⨪↰⇹(⪩⨒∯1011312≎⪠⪩⨒∯230111)⪃⊛⇣(⪩⨒∯131002⋝⋈⪟⪩⨒∯132132)∷(⪩⨒∯321011⩁⩘⪩⨒∯120102↼⊘⨖(⪩⨒∯102003⋥≓≎⪩⨒∯232001)⫌⩉⩟(⪩⨒∯1221220⫳≱↱⪩⨒∯102013)≀⫉(⪩⨒∯203231⩷∴⪩⨒∯203001))","cot":[{"info":"⪩⨒∯101132⨭⪣⪩⨒∯33231=⪩⨒∯-2201","layer":3},{"info":"⇖⪩⨒∯120023=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-2201≃⪩⨒∯2200=⪩⨒∯-111100","layer":2},{"info":"⪩⨒∯1011312≎⪠⪩⨒∯230111=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯131002⋝⋈⪟⪩⨒∯132132=⪩⨒∯131002","layer":3},{"info":"⪩⨒∯10301212⪃⊛⇣⪩⨒∯131002=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯-111100⨪↰⇹⪩⨒∯103102=⪩⨒∯-111100","layer":1},{"info":"⪩⨒∯321011⩁⩘⪩⨒∯120102=⪩⨒∯1233330","layer":3},{"info":"⪩⨒∯102003⋥≓≎⪩⨒∯232001=⪩⨒∯1022200","layer":3},{"info":"⪩⨒∯1233330↼⊘⨖⪩⨒∯1022200=⪩⨒∯2101202","layer":2},{"info":"⪩⨒∯1221220⫳≱↱⪩⨒∯102013=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯203231⩷∴⪩⨒∯203001=⪩⨒∯320","layer":3},{"info":"⪩⨒∯-3030≀⫉⪩⨒∯320=⪩⨒∯230012","layer":2},{"info":"⪩⨒∯2101202⫌⩉⩟⪩⨒∯230012=⪩⨒∯-302","layer":1},{"info":"⪩⨒∯-111100∷⪩⨒∯-302=⪩⨒∯20312","layer":0}]}
{"id":382,"expression_no_base_symbol":"(⇋⊎⋝((∂$1603$)⩵∡$4486$⪘⫢$3540$))⇀∌","expression":"(⇋⊎⋝((∂⪩⨒∯121003)⩵∡⪩⨒∯1012012⪘⫢⪩⨒∯313110))⇀∌","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":77,"operation_count":5,"complexity_ratio":15.4,"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":1603,"base":4}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4486,"base":4},"right_expr":{"type":"numeric_atoms","value":3540,"base":4}}}}},"used_operators":["2k53nXOpI5","CzM2PEoXns","Y7wcNGrDQJ","Uaa54Peajs","oacrs7FA3X"],"dependent_operators":["Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","dWAJyo7jo9","NTOWxs364D","glklzrTFfD","tifHPKVTfV","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1603","layer":4},{"info":"compute unary expreesion, input=1603, 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=4486","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=4486, right_input=3540, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8848","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8848, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇋⊎⋝((∂⪩⨒∯121003)⩵∡⪩⨒∯1012012⪘⫢⪩⨒∯313110))⇀∌=NaN","reverse_text":"NaN=(⇋⊎⋝((∂⪩⨒∯121003)⩵∡⪩⨒∯1012012⪘⫢⪩⨒∯313110))⇀∌","cot":[{"info":"∂⪩⨒∯121003=NaN","layer":3},{"info":"⪩⨒∯1012012⪘⫢⪩⨒∯313110=⪩⨒∯2022100","layer":3},{"info":"NaN⩵∡⪩⨒∯2022100=NaN","layer":2},{"info":"⇋⊎⋝NaN=NaN","layer":1},{"info":"NaN⇀∌=NaN","layer":0}]}
{"id":383,"expression_no_base_symbol":"($2824$⪚$1028$⫦⪉$1258$∓⋝$1674$)⊋≦⊧($5086$+⇶⊼$1482$)↳≱($1499$⪣⫩)⫃⨇($1777$≭$1289$⇉⇉)⪎↠((⪡⇡≛$2112$)⇴$1129$⪪$1591$)","expression":"(⪩⨒∯230020⪚⪩⨒∯100010⫦⪉⪩⨒∯103222∓⋝⪩⨒∯122022)⊋≦⊧(⪩⨒∯1033132+⇶⊼⪩⨒∯113022)↳≱(⪩⨒∯113123⪣⫩)⫃⨇(⪩⨒∯123301≭⪩⨒∯110021⇉⇉)⪎↠((⪡⇡≛⪩⨒∯201000)⇴⪩⨒∯101221⪪⪩⨒∯120313)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3835,"operation_count":14,"complexity_ratio":273.92857142857144,"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":2824,"base":4},"right_expr":{"type":"numeric_atoms","value":1028,"base":4}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1258,"base":4},"right_expr":{"type":"numeric_atoms","value":1674,"base":4}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5086,"base":4},"right_expr":{"type":"numeric_atoms","value":1482,"base":4}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1499,"base":4}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1777,"base":4},"right_expr":{"type":"numeric_atoms","value":1289,"base":4}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"unary","operator":"⪡⇡≛","unary_expr":{"type":"numeric_atoms","value":2112,"base":4}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1129,"base":4},"right_expr":{"type":"numeric_atoms","value":1591,"base":4}}}}},"used_operators":["09Ly4LVMIf","oRDoc9rAEX","wscyQdcy20","HrjLwUk87U","PoHhknlbAi","JwTKLfZU96","TpPTUOHfaN","iuk5sVOGFA","3tVxb0NHM4","diKm42VcIt","rxpJgHHUmx","4JB6nKBMSY","qL4PrbW1Dq","xD69zh8xqp"],"dependent_operators":["9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","AHs5Up7iyr","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","AHs5Up7iyr","sdazOOVcIp","NTOWxs364D","COABgblf1C","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2824","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=1028, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=3236","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=1674, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=3236, right_input=67, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-1572","layer":2},{"info":"number node, value=5086","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=5086, right_input=1482, 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=1499","layer":4},{"info":"compute unary expreesion, input=1499, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=4464","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4464, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1572, right_input=0, 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":1},{"info":"number node, value=1777","layer":4},{"info":"number node, value=1289","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=1289, 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 = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=nan","layer":2},{"info":"number node, value=2112","layer":4},{"info":"compute unary expreesion, input=2112, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-2112","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1591, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-166568","layer":3},{"info":"compute binary expreesion, left_input=-2112, right_input=-166568, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-346194","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-346194, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=192, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯230020⪚⪩⨒∯100010⫦⪉⪩⨒∯103222∓⋝⪩⨒∯122022)⊋≦⊧(⪩⨒∯1033132+⇶⊼⪩⨒∯113022)↳≱(⪩⨒∯113123⪣⫩)⫃⨇(⪩⨒∯123301≭⪩⨒∯110021⇉⇉)⪎↠((⪡⇡≛⪩⨒∯201000)⇴⪩⨒∯101221⪪⪩⨒∯120313)=NaN","reverse_text":"NaN=(⪩⨒∯230020⪚⪩⨒∯100010⫦⪉⪩⨒∯103222∓⋝⪩⨒∯122022)⊋≦⊧(⪩⨒∯1033132+⇶⊼⪩⨒∯113022)↳≱(⪩⨒∯113123⪣⫩)⫃⨇(⪩⨒∯123301≭⪩⨒∯110021⇉⇉)⪎↠((⪡⇡≛⪩⨒∯201000)⇴⪩⨒∯101221⪪⪩⨒∯120313)","cot":[{"info":"⪩⨒∯230020⪚⪩⨒∯100010=⪩⨒∯302210","layer":3},{"info":"⪩⨒∯103222∓⋝⪩⨒∯122022=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯302210⫦⪉⪩⨒∯1003=⪩⨒∯-120210","layer":2},{"info":"⪩⨒∯1033132+⇶⊼⪩⨒∯113022=NaN","layer":3},{"info":"⪩⨒∯113123⪣⫩=⪩⨒∯1011300","layer":3},{"info":"NaN↳≱⪩⨒∯1011300=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-120210⊋≦⊧⪩⨒∯0=⪩⨒∯3000","layer":1},{"info":"⪩⨒∯123301≭⪩⨒∯110021=NaN","layer":3},{"info":"NaN⇉⇉=NaN","layer":2},{"info":"⪡⇡≛⪩⨒∯201000=⪩⨒∯-201000","layer":3},{"info":"⪩⨒∯101221⪪⪩⨒∯120313=⪩⨒∯-220222220","layer":3},{"info":"⪩⨒∯-201000⇴⪩⨒∯-220222220=⪩⨒∯-1110201102","layer":2},{"info":"NaN⪎↠⪩⨒∯-1110201102=NaN","layer":1},{"info":"⪩⨒∯3000⫃⨇NaN=NaN","layer":0}]}
{"id":384,"expression_no_base_symbol":"(⨆≐≲($1848$⩧⪆$3938$))⫞⩸⩒(($2325$⫦⪉$1087$)↼⊘⨖$1007$⊕∕$1427$)⋭≵(($2095$⨸⪁$4763$)⋾⨃∁$5715$⋕⪉⪜$3179$)∌(($1653$⊭∹↮)≎⊠⪸(↩$4761$))","expression":"(⨆≐≲(⪩⨒∯130320⩧⪆⪩⨒∯331202))⫞⩸⩒((⪩⨒∯210111⫦⪉⪩⨒∯100333)↼⊘⨖⪩⨒∯33233⊕∕⪩⨒∯112103)⋭≵((⪩⨒∯200233⨸⪁⪩⨒∯1022123)⋾⨃∁⪩⨒∯1121103⋕⪉⪜⪩⨒∯301223)∌((⪩⨒∯121311⊭∹↮)≎⊠⪸(↩⪩⨒∯1022121))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3084,"operation_count":14,"complexity_ratio":220.28571428571428,"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":1848,"base":4},"right_expr":{"type":"numeric_atoms","value":3938,"base":4}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":2325,"base":4},"right_expr":{"type":"numeric_atoms","value":1087,"base":4}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1007,"base":4},"right_expr":{"type":"numeric_atoms","value":1427,"base":4}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2095,"base":4},"right_expr":{"type":"numeric_atoms","value":4763,"base":4}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":5715,"base":4},"right_expr":{"type":"numeric_atoms","value":3179,"base":4}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1653,"base":4}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4761,"base":4}}}}},"used_operators":["jBncVCNhdl","XGcMNugi78","Bi9z9uYZqW","Ikt5ks8PT7","bPywburJMS","wscyQdcy20","9cloC0Ngie","8cLx32lpNA","212REbPD9h","g55IO6H4Gj","z6LnFrNh4i","bJkvcejdHO","xNBdhnnwKq","jLgFTUHLKL"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eewbuw0ToL","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1848","layer":4},{"info":"number node, value=3938","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=3938, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-3938","layer":3},{"info":"compute unary expreesion, input=-3938, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-168548","layer":2},{"info":"number node, value=2325","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=1087, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=250","layer":3},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1427, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1007","layer":3},{"info":"compute binary expreesion, left_input=250, right_input=1007, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1792","layer":2},{"info":"compute binary expreesion, left_input=-168548, right_input=1792, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-168548","layer":1},{"info":"number node, value=2095","layer":4},{"info":"number node, value=4763","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=4763, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13716","layer":3},{"info":"number node, value=5715","layer":4},{"info":"number node, value=3179","layer":4},{"info":"compute binary expreesion, left_input=5715, right_input=3179, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=13716, right_input=2802, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=78478322","layer":2},{"info":"number node, value=1653","layer":4},{"info":"compute unary expreesion, input=1653, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3306","layer":3},{"info":"number node, value=4761","layer":4},{"info":"compute unary expreesion, input=4761, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-35308","layer":3},{"info":"compute binary expreesion, left_input=3306, right_input=-35308, 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=78478322, right_input=67, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-67","layer":1},{"info":"compute binary expreesion, left_input=-168548, right_input=-67, 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":4,"result_base":4,"text":"(⨆≐≲(⪩⨒∯130320⩧⪆⪩⨒∯331202))⫞⩸⩒((⪩⨒∯210111⫦⪉⪩⨒∯100333)↼⊘⨖⪩⨒∯33233⊕∕⪩⨒∯112103)⋭≵((⪩⨒∯200233⨸⪁⪩⨒∯1022123)⋾⨃∁⪩⨒∯1121103⋕⪉⪜⪩⨒∯301223)∌((⪩⨒∯121311⊭∹↮)≎⊠⪸(↩⪩⨒∯1022121))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=(⨆≐≲(⪩⨒∯130320⩧⪆⪩⨒∯331202))⫞⩸⩒((⪩⨒∯210111⫦⪉⪩⨒∯100333)↼⊘⨖⪩⨒∯33233⊕∕⪩⨒∯112103)⋭≵((⪩⨒∯200233⨸⪁⪩⨒∯1022123)⋾⨃∁⪩⨒∯1121103⋕⪉⪜⪩⨒∯301223)∌((⪩⨒∯121311⊭∹↮)≎⊠⪸(↩⪩⨒∯1022121))","cot":[{"info":"⪩⨒∯130320⩧⪆⪩⨒∯331202=⪩⨒∯-331202","layer":3},{"info":"⨆≐≲⪩⨒∯-331202=⪩⨒∯-221021210","layer":2},{"info":"⪩⨒∯210111⫦⪉⪩⨒∯100333=⪩⨒∯3322","layer":3},{"info":"⪩⨒∯33233⊕∕⪩⨒∯112103=⪩⨒∯33233","layer":3},{"info":"⪩⨒∯3322↼⊘⨖⪩⨒∯33233=⪩⨒∯130000","layer":2},{"info":"⪩⨒∯-221021210⫞⩸⩒⪩⨒∯130000=⪩⨒∯-221021210","layer":1},{"info":"⪩⨒∯200233⨸⪁⪩⨒∯1022123=⪩⨒∯3112110","layer":3},{"info":"⪩⨒∯1121103⋕⪉⪜⪩⨒∯301223=⪩⨒∯223302","layer":3},{"info":"⪩⨒∯3112110⋾⨃∁⪩⨒∯223302=⪩⨒∯10223113233302","layer":2},{"info":"⪩⨒∯121311⊭∹↮=⪩⨒∯303222","layer":3},{"info":"↩⪩⨒∯1022121=⪩⨒∯-20213230","layer":3},{"info":"⪩⨒∯303222≎⊠⪸⪩⨒∯-20213230=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯10223113233302∌⪩⨒∯1003=⪩⨒∯-1003","layer":1},{"info":"⪩⨒∯-221021210⋭≵⪩⨒∯-1003=⪩⨒∯1003","layer":0}]}
{"id":385,"expression_no_base_symbol":"⇋⊎⋝(⋗⩬⋾(⋼∭⪍$3324$)≚⊃≕($1390$↬$3889$))","expression":"⇋⊎⋝(⋗⩬⋾(⋼∭⪍⪩⨒∯303330)≚⊃≕(⪩⨒∯111232↬⪩⨒∯330301))","highest_n_order":5,"priority_hierarchical_complexity":4,"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":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3324,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1390,"base":4},"right_expr":{"type":"numeric_atoms","value":3889,"base":4}}}}},"used_operators":["CzM2PEoXns","DpFCA1CohY","Bmrmz2XGnR","DbCuESL50I","B5M0gjZbta"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3324","layer":4},{"info":"compute unary expreesion, input=3324, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-11556","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=3889","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=3889, 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=-11556, 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":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇋⊎⋝(⋗⩬⋾(⋼∭⪍⪩⨒∯303330)≚⊃≕(⪩⨒∯111232↬⪩⨒∯330301))=NaN","reverse_text":"NaN=⇋⊎⋝(⋗⩬⋾(⋼∭⪍⪩⨒∯303330)≚⊃≕(⪩⨒∯111232↬⪩⨒∯330301))","cot":[{"info":"⋼∭⪍⪩⨒∯303330=⪩⨒∯-2310210","layer":3},{"info":"⪩⨒∯111232↬⪩⨒∯330301=NaN","layer":3},{"info":"⪩⨒∯-2310210≚⊃≕NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⇋⊎⋝NaN=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"⋃(⇾⩊⇾($2768$⇡⇂$1122$⋾⨃∁$1006$⊬⨰$3995$))","expression":"⋃(⇾⩊⇾(⪩⨒∯223100⇡⇂⪩⨒∯101202⋾⨃∁⪩⨒∯33232⊬⨰⪩⨒∯332123))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21283,"operation_count":5,"complexity_ratio":4256.6,"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":2768,"base":4},"right_expr":{"type":"numeric_atoms","value":1122,"base":4}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1006,"base":4},"right_expr":{"type":"numeric_atoms","value":3995,"base":4}}}}},"used_operators":["3mBM5G4a3l","bx9Z9DAK5y","212REbPD9h","UMwdvZNt44","s3Fd5m9Dh2"],"dependent_operators":["g55IO6H4Gj","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2768","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=1122, 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=1006","layer":4},{"info":"number node, value=3995","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=3995, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=15930","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15930, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(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":4,"result_base":4,"text":"⋃(⇾⩊⇾(⪩⨒∯223100⇡⇂⪩⨒∯101202⋾⨃∁⪩⨒∯33232⊬⨰⪩⨒∯332123))=NaN","reverse_text":"NaN=⋃(⇾⩊⇾(⪩⨒∯223100⇡⇂⪩⨒∯101202⋾⨃∁⪩⨒∯33232⊬⨰⪩⨒∯332123))","cot":[{"info":"⪩⨒∯223100⇡⇂⪩⨒∯101202=NaN","layer":3},{"info":"⪩⨒∯33232⊬⨰⪩⨒∯332123=⪩⨒∯3320322","layer":3},{"info":"NaN⋾⨃∁⪩⨒∯3320322=Inf","layer":2},{"info":"⇾⩊⇾Inf=NaN","layer":1},{"info":"⋃NaN=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"($3249$≠≀$4185$⊋≦⊧$1397$⨓$1555$)↓(↽≂$8750$)↹⊜($4283$↡⊰⫅$1222$)⨪↰⇹(($4211$⫌⩉⩟$1217$)≀⩗∶(⪛⨧$3900$))↹⊜(($1662$⩼⇪↪$1133$)∀⊥⇻)","expression":"(⪩⨒∯302301≠≀⪩⨒∯1001121⊋≦⊧⪩⨒∯111311⨓⪩⨒∯120103)↓(↽≂⪩⨒∯2020232)↹⊜(⪩⨒∯1002323↡⊰⫅⪩⨒∯103012)⨪↰⇹((⪩⨒∯1001303⫌⩉⩟⪩⨒∯103001)≀⩗∶(⪛⨧⪩⨒∯330330))↹⊜((⪩⨒∯121332⩼⇪↪⪩⨒∯101231)∀⊥⇻)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":300472,"operation_count":14,"complexity_ratio":21462.285714285714,"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":3249,"base":4},"right_expr":{"type":"numeric_atoms","value":4185,"base":4}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1397,"base":4},"right_expr":{"type":"numeric_atoms","value":1555,"base":4}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":8750,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":4283,"base":4},"right_expr":{"type":"numeric_atoms","value":1222,"base":4}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":4211,"base":4},"right_expr":{"type":"numeric_atoms","value":1217,"base":4}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3900,"base":4}}},"right_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1662,"base":4},"right_expr":{"type":"numeric_atoms","value":1133,"base":4}}}}},"used_operators":["tmPS8pqC7x","Af076pWI7l","oRDoc9rAEX","IwW236VD4Y","3ViojmjbAp","9bazX3JMtO","u6S6b8DprG","VCtxkLNOzz","8INZBEW696","XIIwhv8d0m","6NJAcO2OWT","k4iM1060OG","ocnLzx9CaJ"],"dependent_operators":["rJVOvQCfKK","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⪩⨒∯-2012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3249","layer":4},{"info":"number node, value=4185","layer":4},{"info":"compute binary expreesion, left_input=3249, right_input=4185, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6192","layer":3},{"info":"number node, value=1397","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=1555, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1558","layer":3},{"info":"compute binary expreesion, left_input=-6192, right_input=-1558, 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=8750","layer":4},{"info":"compute unary expreesion, input=8750, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-17500","layer":3},{"info":"number node, value=4283","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=4283, right_input=1222, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=2444","layer":3},{"info":"compute binary expreesion, left_input=-17500, right_input=2444, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-19648","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-19648, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=4211","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=4211, right_input=1217, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3900","layer":4},{"info":"compute unary expreesion, input=3900, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=9201","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=9201, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=555","layer":2},{"info":"number node, value=1662","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=1133, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-5390","layer":3},{"info":"compute unary expreesion, input=-5390, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=555, right_input=0, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-96","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-96, 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=-134","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯302301≠≀⪩⨒∯1001121⊋≦⊧⪩⨒∯111311⨓⪩⨒∯120103)↓(↽≂⪩⨒∯2020232)↹⊜(⪩⨒∯1002323↡⊰⫅⪩⨒∯103012)⨪↰⇹((⪩⨒∯1001303⫌⩉⩟⪩⨒∯103001)≀⩗∶(⪛⨧⪩⨒∯330330))↹⊜((⪩⨒∯121332⩼⇪↪⪩⨒∯101231)∀⊥⇻)=⪩⨒∯-2012","reverse_text":"⪩⨒∯-2012=(⪩⨒∯302301≠≀⪩⨒∯1001121⊋≦⊧⪩⨒∯111311⨓⪩⨒∯120103)↓(↽≂⪩⨒∯2020232)↹⊜(⪩⨒∯1002323↡⊰⫅⪩⨒∯103012)⨪↰⇹((⪩⨒∯1001303⫌⩉⩟⪩⨒∯103001)≀⩗∶(⪛⨧⪩⨒∯330330))↹⊜((⪩⨒∯121332⩼⇪↪⪩⨒∯101231)∀⊥⇻)","cot":[{"info":"⪩⨒∯302301≠≀⪩⨒∯1001121=⪩⨒∯-1200300","layer":3},{"info":"⪩⨒∯111311⨓⪩⨒∯120103=⪩⨒∯-120112","layer":3},{"info":"⪩⨒∯-1200300⊋≦⊧⪩⨒∯-120112=⪩⨒∯3000","layer":2},{"info":"↽≂⪩⨒∯2020232=⪩⨒∯-10101130","layer":3},{"info":"⪩⨒∯1002323↡⊰⫅⪩⨒∯103012=⪩⨒∯212030","layer":3},{"info":"⪩⨒∯-10101130↹⊜⪩⨒∯212030=⪩⨒∯-10303000","layer":2},{"info":"⪩⨒∯3000↓⪩⨒∯-10303000=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯1001303⫌⩉⩟⪩⨒∯103001=⪩⨒∯-302","layer":3},{"info":"⪛⨧⪩⨒∯330330=⪩⨒∯2033301","layer":3},{"info":"⪩⨒∯-302≀⩗∶⪩⨒∯2033301=⪩⨒∯20223","layer":2},{"info":"⪩⨒∯121332⩼⇪↪⪩⨒∯101231=⪩⨒∯-1110032","layer":3},{"info":"⪩⨒∯-1110032∀⊥⇻=⪩⨒∯0","layer":2},{"info":"⪩⨒∯20223↹⊜⪩⨒∯0=⪩⨒∯-1200","layer":1},{"info":"⪩⨒∯-2012⨪↰⇹⪩⨒∯-1200=⪩⨒∯-2012","layer":0}]}
{"id":388,"expression_no_base_symbol":"(($7206$⨑⩅≇$7643$⪕$1733$↹⊜$4527$)⋩≍≻)⨟⋌⩍(($4100$⩌⋺$1781$∵≐)⨻⩈⩔($1114$⇯⋐)⊝⪿⪼$1936$⇡⇂$1213$)","expression":"((⪩⨒∯1300212⨑⩅≇⪩⨒∯1313123⪕⪩⨒∯123011↹⊜⪩⨒∯1012233)⋩≍≻)⨟⋌⩍((⪩⨒∯1000010⩌⋺⪩⨒∯123311∵≐)⨻⩈⩔(⪩⨒∯101122⇯⋐)⊝⪿⪼⪩⨒∯132100⇡⇂⪩⨒∯102331)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14885,"operation_count":11,"complexity_ratio":1353.1818181818182,"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":7206,"base":4},"right_expr":{"type":"numeric_atoms","value":7643,"base":4}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1733,"base":4},"right_expr":{"type":"numeric_atoms","value":4527,"base":4}}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":4100,"base":4},"right_expr":{"type":"numeric_atoms","value":1781,"base":4}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":1114,"base":4}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1936,"base":4},"right_expr":{"type":"numeric_atoms","value":1213,"base":4}}}}},"used_operators":["rGHVDoGpnC","WYd1w68Nbz","umQnsF7QlU","h92wMvzauj","9bazX3JMtO","nEsXyWgiOK","59igzFyhWz","g7Hmc5v1ko","3Oe9XWJUTD","LkLIoiE525","UMwdvZNt44"],"dependent_operators":["Tcnh7f0tEr","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7206","layer":4},{"info":"number node, value=7643","layer":4},{"info":"compute binary expreesion, left_input=7206, right_input=7643, 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=-21618","layer":3},{"info":"number node, value=1733","layer":4},{"info":"number node, value=4527","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=4527, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-14738","layer":3},{"info":"compute binary expreesion, left_input=-21618, right_input=-14738, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"compute unary expreesion, input=935, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=-55","layer":1},{"info":"number node, value=4100","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=4100, right_input=1781, 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=-6002","layer":3},{"info":"compute unary expreesion, input=-6002, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=5552","layer":2},{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=4220","layer":3},{"info":"number node, value=1936","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=1213, 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=4220, right_input=nan, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=73232","layer":2},{"info":"compute binary expreesion, left_input=5552, right_input=73232, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=36015","layer":1},{"info":"compute binary expreesion, left_input=-55, right_input=36015, 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":4,"result_base":4,"text":"((⪩⨒∯1300212⨑⩅≇⪩⨒∯1313123⪕⪩⨒∯123011↹⊜⪩⨒∯1012233)⋩≍≻)⨟⋌⩍((⪩⨒∯1000010⩌⋺⪩⨒∯123311∵≐)⨻⩈⩔(⪩⨒∯101122⇯⋐)⊝⪿⪼⪩⨒∯132100⇡⇂⪩⨒∯102331)=NaN","reverse_text":"NaN=((⪩⨒∯1300212⨑⩅≇⪩⨒∯1313123⪕⪩⨒∯123011↹⊜⪩⨒∯1012233)⋩≍≻)⨟⋌⩍((⪩⨒∯1000010⩌⋺⪩⨒∯123311∵≐)⨻⩈⩔(⪩⨒∯101122⇯⋐)⊝⪿⪼⪩⨒∯132100⇡⇂⪩⨒∯102331)","cot":[{"info":"⪩⨒∯1300212⨑⩅≇⪩⨒∯1313123=⪩⨒∯-11101302","layer":3},{"info":"⪩⨒∯123011↹⊜⪩⨒∯1012233=⪩⨒∯-3212102","layer":3},{"info":"⪩⨒∯-11101302⪕⪩⨒∯-3212102=⪩⨒∯32213","layer":2},{"info":"⪩⨒∯32213⋩≍≻=⪩⨒∯-313","layer":1},{"info":"⪩⨒∯1000010⩌⋺⪩⨒∯123311=⪩⨒∯-1131302","layer":3},{"info":"⪩⨒∯-1131302∵≐=⪩⨒∯1112300","layer":2},{"info":"⪩⨒∯101122⇯⋐=⪩⨒∯1001330","layer":3},{"info":"⪩⨒∯132100⇡⇂⪩⨒∯102331=NaN","layer":3},{"info":"⪩⨒∯1001330⊝⪿⪼NaN=⪩⨒∯101320100","layer":2},{"info":"⪩⨒∯1112300⨻⩈⩔⪩⨒∯101320100=⪩⨒∯20302233","layer":1},{"info":"⪩⨒∯-313⨟⋌⩍⪩⨒∯20302233=NaN","layer":0}]}
{"id":389,"expression_no_base_symbol":"∮((⪛⨧$3394$∥⊢⊲$2590$)⨔≚≋(⊆⋠$2959$)⪪($1402$↡⊰⫅$6362$))","expression":"∮((⪛⨧⪩⨒∯311002∥⊢⊲⪩⨒∯220132)⨔≚≋(⊆⋠⪩⨒∯232033)⪪(⪩⨒∯111322↡⊰⫅⪩⨒∯1203122))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":89255,"operation_count":7,"complexity_ratio":12750.714285714286,"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":3394,"base":4},"right_expr":{"type":"numeric_atoms","value":2590,"base":4}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":2959,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1402,"base":4},"right_expr":{"type":"numeric_atoms","value":6362,"base":4}}}}},"used_operators":["CqXKPLVYql","Z57zeUYC9z","6NJAcO2OWT","v1UQAVDJRr","xD69zh8xqp","EBhcHTkKd8","VCtxkLNOzz"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","EBcxylXtPf","rGHVDoGpnC","FU0Cs4j7VP","JclMnS0uGI","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3394","layer":4},{"info":"number node, value=2590","layer":4},{"info":"compute binary expreesion, left_input=3394, right_input=2590, 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 = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=nan","layer":2},{"info":"number node, value=2959","layer":4},{"info":"compute unary expreesion, input=2959, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=1402","layer":4},{"info":"number node, value=6362","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=6362, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=12724","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12724, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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 = 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":4,"result_base":4,"text":"∮((⪛⨧⪩⨒∯311002∥⊢⊲⪩⨒∯220132)⨔≚≋(⊆⋠⪩⨒∯232033)⪪(⪩⨒∯111322↡⊰⫅⪩⨒∯1203122))=NaN","reverse_text":"NaN=∮((⪛⨧⪩⨒∯311002∥⊢⊲⪩⨒∯220132)⨔≚≋(⊆⋠⪩⨒∯232033)⪪(⪩⨒∯111322↡⊰⫅⪩⨒∯1203122))","cot":[{"info":"⪩⨒∯311002∥⊢⊲⪩⨒∯220132=NaN","layer":3},{"info":"⪛⨧NaN=NaN","layer":2},{"info":"⊆⋠⪩⨒∯232033=⪩⨒∯0","layer":3},{"info":"⪩⨒∯111322↡⊰⫅⪩⨒∯1203122=⪩⨒∯3012310","layer":3},{"info":"⪩⨒∯0⪪⪩⨒∯3012310=⪩⨒∯0","layer":2},{"info":"NaN⨔≚≋⪩⨒∯0=NaN","layer":1},{"info":"∮NaN=NaN","layer":0}]}
{"id":390,"expression_no_base_symbol":"⩰(⊥(($1919$∧)⊾⪯⋞$1649$⫁⪎$1089$))","expression":"⩰(⊥((⪩⨒∯131333∧)⊾⪯⋞⪩⨒∯121301⫁⪎⪩⨒∯101001))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":79,"operation_count":5,"complexity_ratio":15.8,"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":1919,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1649,"base":4},"right_expr":{"type":"numeric_atoms","value":1089,"base":4}}}}},"used_operators":["WkeUrDK8WX","Q3PJZHRvZv","HK0tfVPux8","z63VuFQld9","xRrnTEsQ6j"],"dependent_operators":["W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","fu6greOZ01","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1919","layer":4},{"info":"compute unary expreesion, input=1919, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=1649","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=1089, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=560","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=560, 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":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⩰(⊥((⪩⨒∯131333∧)⊾⪯⋞⪩⨒∯121301⫁⪎⪩⨒∯101001))=NaN","reverse_text":"NaN=⩰(⊥((⪩⨒∯131333∧)⊾⪯⋞⪩⨒∯121301⫁⪎⪩⨒∯101001))","cot":[{"info":"⪩⨒∯131333∧=NaN","layer":3},{"info":"⪩⨒∯121301⫁⪎⪩⨒∯101001=⪩⨒∯20300","layer":3},{"info":"NaN⊾⪯⋞⪩⨒∯20300=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⩰NaN=NaN","layer":0}]}
{"id":391,"expression_no_base_symbol":"((⫎≠⋺$5897$)⫃⨇$1635$⋓$1603$)∌(≘(⇈$5416$))⩺⪪(($5446$⫚↹⊑$3750$)⩚⊴⇥$6231$∼$1217$↛⩡⫤)","expression":"((⫎≠⋺⪩⨒∯1130021)⫃⨇⪩⨒∯121203⋓⪩⨒∯121003)∌(≘(⇈⪩⨒∯1110220))⩺⪪((⪩⨒∯1111012⫚↹⊑⪩⨒∯322212)⩚⊴⇥⪩⨒∯1201113∼⪩⨒∯103001↛⩡⫤)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1595,"operation_count":11,"complexity_ratio":145.0,"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":5897,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1635,"base":4},"right_expr":{"type":"numeric_atoms","value":1603,"base":4}}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":5416,"base":4}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5446,"base":4},"right_expr":{"type":"numeric_atoms","value":3750,"base":4}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6231,"base":4},"right_expr":{"type":"numeric_atoms","value":1217,"base":4}}}}},"used_operators":["uvdQJvN4PV","8cLx32lpNA","09Ly4LVMIf","LYeZOJ0nQG","T2fj7uvVaJ","tcjXMdvYtA","SLLxy00UIr","FU0Cs4j7VP","NTOWxs364D","dfKe02y8D2","DyGG3AbaNP"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5897","layer":4},{"info":"compute unary expreesion, input=5897, 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=1635","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=1603, 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 = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-32","layer":2},{"info":"number node, value=5416","layer":4},{"info":"compute unary expreesion, input=5416, 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 = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=262574","layer":2},{"info":"compute binary expreesion, left_input=-32, right_input=262574, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-32","layer":1},{"info":"number node, value=5446","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=5446, right_input=3750, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=6231","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=6231, right_input=1217, 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=-447, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-32, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⫎≠⋺⪩⨒∯1130021)⫃⨇⪩⨒∯121203⋓⪩⨒∯121003)∌(≘(⇈⪩⨒∯1110220))⩺⪪((⪩⨒∯1111012⫚↹⊑⪩⨒∯322212)⩚⊴⇥⪩⨒∯1201113∼⪩⨒∯103001↛⩡⫤)=NaN","reverse_text":"NaN=((⫎≠⋺⪩⨒∯1130021)⫃⨇⪩⨒∯121203⋓⪩⨒∯121003)∌(≘(⇈⪩⨒∯1110220))⩺⪪((⪩⨒∯1111012⫚↹⊑⪩⨒∯322212)⩚⊴⇥⪩⨒∯1201113∼⪩⨒∯103001↛⩡⫤)","cot":[{"info":"⫎≠⋺⪩⨒∯1130021=⪩⨒∯0","layer":3},{"info":"⪩⨒∯121203⋓⪩⨒∯121003=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⫃⨇⪩⨒∯0=⪩⨒∯-200","layer":2},{"info":"⇈⪩⨒∯1110220=⪩⨒∯-12333","layer":3},{"info":"≘⪩⨒∯-12333=⪩⨒∯1000012232","layer":2},{"info":"⪩⨒∯-200∌⪩⨒∯1000012232=⪩⨒∯-200","layer":1},{"info":"⪩⨒∯1111012⫚↹⊑⪩⨒∯322212=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1201113∼⪩⨒∯103001=NaN","layer":3},{"info":"⪩⨒∯-12333⩚⊴⇥NaN=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⪩⨒∯-200⩺⪪NaN=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"(((≦∁$4876$)⊲⩕⊾($2319$⫢⨠$1139$))⋛($5846$⪶≀⋏$1976$⋖∅⋲))⪚(↘($1367$⪭$4474$)∺≝⩲(↴⪽⋼$8698$))","expression":"(((≦∁⪩⨒∯1030030)⊲⩕⊾(⪩⨒∯210033⫢⨠⪩⨒∯101303))⋛(⪩⨒∯1123112⪶≀⋏⪩⨒∯132320⋖∅⋲))⪚(↘(⪩⨒∯111113⪭⪩⨒∯1011322)∺≝⩲(↴⪽⋼⪩⨒∯2013322))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":424,"operation_count":11,"complexity_ratio":38.54545454545455,"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":4876,"base":4}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2319,"base":4},"right_expr":{"type":"numeric_atoms","value":1139,"base":4}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":5846,"base":4},"right_expr":{"type":"numeric_atoms","value":1976,"base":4}}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1367,"base":4},"right_expr":{"type":"numeric_atoms","value":4474,"base":4}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":8698,"base":4}}}}},"used_operators":["HrjLwUk87U","YbUVn0Rbpy","DmTXOeWf9t","9ICcGScMcE","xlXykHWxX1","L95AwlJzhO","zR4jO40bMj","LdNpr8hQHL","KPf6cnQVty","j9kHMeSvPp","5TUYCnJO6w"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","uFcxV4UQCh","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","COABgblf1C","xUOZtlo3hN","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt"],"result":"⪩⨒∯1001013102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4876","layer":4},{"info":"compute unary expreesion, input=4876, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4876","layer":3},{"info":"number node, value=2319","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=2319, right_input=1139, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=4876, right_input=160, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-76246","layer":2},{"info":"number node, value=5846","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=5846, right_input=1976, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21722","layer":3},{"info":"compute unary expreesion, input=-21722, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-76246, 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=-133791","layer":1},{"info":"number node, value=1367","layer":4},{"info":"number node, value=4474","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=4474, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=8698","layer":4},{"info":"compute unary expreesion, input=8698, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=8698","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=8698, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-133791, right_input=160, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=266706","layer":0}],"base":4,"result_base":4,"text":"(((≦∁⪩⨒∯1030030)⊲⩕⊾(⪩⨒∯210033⫢⨠⪩⨒∯101303))⋛(⪩⨒∯1123112⪶≀⋏⪩⨒∯132320⋖∅⋲))⪚(↘(⪩⨒∯111113⪭⪩⨒∯1011322)∺≝⩲(↴⪽⋼⪩⨒∯2013322))=⪩⨒∯1001013102","reverse_text":"⪩⨒∯1001013102=(((≦∁⪩⨒∯1030030)⊲⩕⊾(⪩⨒∯210033⫢⨠⪩⨒∯101303))⋛(⪩⨒∯1123112⪶≀⋏⪩⨒∯132320⋖∅⋲))⪚(↘(⪩⨒∯111113⪭⪩⨒∯1011322)∺≝⩲(↴⪽⋼⪩⨒∯2013322))","cot":[{"info":"≦∁⪩⨒∯1030030=⪩⨒∯1030030","layer":3},{"info":"⪩⨒∯210033⫢⨠⪩⨒∯101303=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1030030⊲⩕⊾⪩⨒∯2200=⪩⨒∯-102213112","layer":2},{"info":"⪩⨒∯1123112⪶≀⋏⪩⨒∯132320=⪩⨒∯-11103122","layer":3},{"info":"⪩⨒∯-11103122⋖∅⋲=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-102213112⋛⪩⨒∯0=⪩⨒∯-200222133","layer":1},{"info":"⪩⨒∯111113⪭⪩⨒∯1011322=⪩⨒∯11","layer":3},{"info":"↴⪽⋼⪩⨒∯2013322=⪩⨒∯2013322","layer":3},{"info":"⪩⨒∯11∺≝⩲⪩⨒∯2013322=⪩⨒∯2200","layer":2},{"info":"↘⪩⨒∯2200=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯-200222133⪚⪩⨒∯2200=⪩⨒∯1001013102","layer":0}]}
{"id":393,"expression_no_base_symbol":"≸(↓⇌((⇾⩊⇾$4648$)⇄($5676$⫌⩉⩟$1007$)))","expression":"≸(↓⇌((⇾⩊⇾⪩⨒∯1020220)⇄(⪩⨒∯1120230⫌⩉⩟⪩⨒∯33233)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4972,"operation_count":5,"complexity_ratio":994.4,"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":4648,"base":4}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":5676,"base":4},"right_expr":{"type":"numeric_atoms","value":1007,"base":4}}}}},"used_operators":["eOf03JbCpp","PxpmPgHHJV","3EYGwJThht","bx9Z9DAK5y","XIIwhv8d0m"],"dependent_operators":["WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⪩⨒∯322","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4648","layer":4},{"info":"compute unary expreesion, input=4648, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-48318","layer":3},{"info":"number node, value=5676","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=5676, right_input=1007, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-48318, right_input=-50, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=534","layer":2},{"info":"compute unary expreesion, input=534, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=534","layer":1},{"info":"compute unary expreesion, input=534, 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":4,"result_base":4,"text":"≸(↓⇌((⇾⩊⇾⪩⨒∯1020220)⇄(⪩⨒∯1120230⫌⩉⩟⪩⨒∯33233)))=⪩⨒∯322","reverse_text":"⪩⨒∯322=≸(↓⇌((⇾⩊⇾⪩⨒∯1020220)⇄(⪩⨒∯1120230⫌⩉⩟⪩⨒∯33233)))","cot":[{"info":"⇾⩊⇾⪩⨒∯1020220=⪩⨒∯-23302332","layer":3},{"info":"⪩⨒∯1120230⫌⩉⩟⪩⨒∯33233=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯-23302332⇄⪩⨒∯-302=⪩⨒∯20112","layer":2},{"info":"↓⇌⪩⨒∯20112=⪩⨒∯20112","layer":1},{"info":"≸⪩⨒∯20112=⪩⨒∯322","layer":0}]}
{"id":394,"expression_no_base_symbol":"(⪡⇡≛(($1386$⨸⪁$5076$)→⨶⪴($1321$⫑)))⊍⩺⋍($2051$∋$1319$⪇≇⋚($3385$↡⊰⫅$6842$))⇴∐($1837$≚⊃≕$2692$∝$9430$∀⇚≩$1945$)","expression":"(⪡⇡≛((⪩⨒∯111222⨸⪁⪩⨒∯1033110)→⨶⪴(⪩⨒∯110221⫑)))⊍⩺⋍(⪩⨒∯200003∋⪩⨒∯110213⪇≇⋚(⪩⨒∯310321↡⊰⫅⪩⨒∯1222322))⇴∐(⪩⨒∯130231≚⊃≕⪩⨒∯222010∝⪩⨒∯2103112∀⇚≩⪩⨒∯132121)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":162376,"operation_count":12,"complexity_ratio":13531.333333333334,"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":1386,"base":4},"right_expr":{"type":"numeric_atoms","value":5076,"base":4}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1321,"base":4}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":2051,"base":4},"right_expr":{"type":"numeric_atoms","value":1319,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":3385,"base":4},"right_expr":{"type":"numeric_atoms","value":6842,"base":4}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1837,"base":4},"right_expr":{"type":"numeric_atoms","value":2692,"base":4}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":9430,"base":4},"right_expr":{"type":"numeric_atoms","value":1945,"base":4}}}}},"used_operators":["OXDGMFPWZM","qL4PrbW1Dq","bF6eod5Gvf","g55IO6H4Gj","CgIo77xlM2","HnzytWxmAO","3sJ7IOPOlU","ukq6epAj5P","VCtxkLNOzz","cTDWOvIxvz","Bmrmz2XGnR","LRNGc0VcxI"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1386","layer":4},{"info":"number node, value=5076","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=5076, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12924","layer":3},{"info":"number node, value=1321","layer":4},{"info":"compute unary expreesion, input=1321, 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=12924, right_input=3979, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-11937","layer":2},{"info":"compute unary expreesion, input=-11937, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-11937","layer":1},{"info":"number node, value=2051","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=1319, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2785948","layer":3},{"info":"number node, value=3385","layer":4},{"info":"number node, value=6842","layer":4},{"info":"compute binary expreesion, left_input=3385, right_input=6842, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=13684","layer":3},{"info":"compute binary expreesion, left_input=2785948, right_input=13684, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1837","layer":4},{"info":"number node, value=2692","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=2692, 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=9430","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=9430, right_input=1945, 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=67, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=-11937, right_input=-116, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪡⇡≛((⪩⨒∯111222⨸⪁⪩⨒∯1033110)→⨶⪴(⪩⨒∯110221⫑)))⊍⩺⋍(⪩⨒∯200003∋⪩⨒∯110213⪇≇⋚(⪩⨒∯310321↡⊰⫅⪩⨒∯1222322))⇴∐(⪩⨒∯130231≚⊃≕⪩⨒∯222010∝⪩⨒∯2103112∀⇚≩⪩⨒∯132121)=NaN","reverse_text":"NaN=(⪡⇡≛((⪩⨒∯111222⨸⪁⪩⨒∯1033110)→⨶⪴(⪩⨒∯110221⫑)))⊍⩺⋍(⪩⨒∯200003∋⪩⨒∯110213⪇≇⋚(⪩⨒∯310321↡⊰⫅⪩⨒∯1222322))⇴∐(⪩⨒∯130231≚⊃≕⪩⨒∯222010∝⪩⨒∯2103112∀⇚≩⪩⨒∯132121)","cot":[{"info":"⪩⨒∯111222⨸⪁⪩⨒∯1033110=⪩⨒∯3021330","layer":3},{"info":"⪩⨒∯110221⫑=⪩⨒∯332023","layer":3},{"info":"⪩⨒∯3021330→⨶⪴⪩⨒∯332023=⪩⨒∯-2322201","layer":2},{"info":"⪡⇡≛⪩⨒∯-2322201=⪩⨒∯-2322201","layer":1},{"info":"⪩⨒∯200003∋⪩⨒∯110213=⪩⨒∯22220022130","layer":3},{"info":"⪩⨒∯310321↡⊰⫅⪩⨒∯1222322=⪩⨒∯3111310","layer":3},{"info":"⪩⨒∯22220022130⪇≇⋚⪩⨒∯3111310=⪩⨒∯0","layer":2},{"info":"⪩⨒∯130231≚⊃≕⪩⨒∯222010=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯2103112∀⇚≩⪩⨒∯132121=NaN","layer":3},{"info":"⪩⨒∯1003∝NaN=NaN","layer":2},{"info":"⪩⨒∯0⇴∐NaN=⪩⨒∯-1310","layer":1},{"info":"⪩⨒∯-2322201⊍⩺⋍⪩⨒∯-1310=NaN","layer":0}]}
{"id":395,"expression_no_base_symbol":"(($1521$≀⩗∶$1410$)∑⇟⊟($3827$≭$1314$))≚⊃≕($3488$⊉↱≁$1497$⪁$5522$≎⊠⪸$3537$)⩺⪪((↽≂$4307$)↼⊘⨖($1813$⊭↱$2800$)∷(⊲⪭($2652$∕⩚$4891$)))","expression":"((⪩⨒∯113301≀⩗∶⪩⨒∯112002)∑⇟⊟(⪩⨒∯323303≭⪩⨒∯110202))≚⊃≕(⪩⨒∯312200⊉↱≁⪩⨒∯113121⪁⪩⨒∯1112102≎⊠⪸⪩⨒∯313101)⩺⪪((↽≂⪩⨒∯1003103)↼⊘⨖(⪩⨒∯130111⊭↱⪩⨒∯223300)∷(⊲⪭(⪩⨒∯221130∕⩚⪩⨒∯1030123)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1458746,"operation_count":14,"complexity_ratio":104196.14285714286,"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":1521,"base":4},"right_expr":{"type":"numeric_atoms","value":1410,"base":4}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3827,"base":4},"right_expr":{"type":"numeric_atoms","value":1314,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":3488,"base":4},"right_expr":{"type":"numeric_atoms","value":1497,"base":4}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5522,"base":4},"right_expr":{"type":"numeric_atoms","value":3537,"base":4}}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4307,"base":4}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1813,"base":4},"right_expr":{"type":"numeric_atoms","value":2800,"base":4}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2652,"base":4},"right_expr":{"type":"numeric_atoms","value":4891,"base":4}}}}},"used_operators":["uvdQJvN4PV","Bmrmz2XGnR","U7g4x0WXJJ","8INZBEW696","rxpJgHHUmx","I7sXao9hZE","w2P8NbNXyL","bJkvcejdHO","D3AQDKkPcf","bPywburJMS","u6S6b8DprG","COABgblf1C","k7HXdKtiEU","z9ffQ9n5Zr"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","AHs5Up7iyr","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","i8ToyICDmI","xUOZtlo3hN","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1521","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=1410, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=3827","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=3827, right_input=1314, 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=0, 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=3488","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=3488, right_input=1497, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=25846","layer":3},{"info":"number node, value=5522","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=5522, right_input=3537, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1429725","layer":3},{"info":"compute binary expreesion, left_input=25846, right_input=1429725, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', 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=4307","layer":4},{"info":"compute unary expreesion, input=4307, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8614","layer":3},{"info":"number node, value=1813","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=2800, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1979","layer":3},{"info":"compute binary expreesion, left_input=-8614, right_input=1979, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=3736","layer":2},{"info":"number node, value=2652","layer":4},{"info":"number node, value=4891","layer":4},{"info":"compute binary expreesion, left_input=2652, right_input=4891, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2655","layer":3},{"info":"compute unary expreesion, input=-2655, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=2481","layer":2},{"info":"compute binary expreesion, left_input=3736, right_input=2481, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2481","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2481, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯113301≀⩗∶⪩⨒∯112002)∑⇟⊟(⪩⨒∯323303≭⪩⨒∯110202))≚⊃≕(⪩⨒∯312200⊉↱≁⪩⨒∯113121⪁⪩⨒∯1112102≎⊠⪸⪩⨒∯313101)⩺⪪((↽≂⪩⨒∯1003103)↼⊘⨖(⪩⨒∯130111⊭↱⪩⨒∯223300)∷(⊲⪭(⪩⨒∯221130∕⩚⪩⨒∯1030123)))=NaN","reverse_text":"NaN=((⪩⨒∯113301≀⩗∶⪩⨒∯112002)∑⇟⊟(⪩⨒∯323303≭⪩⨒∯110202))≚⊃≕(⪩⨒∯312200⊉↱≁⪩⨒∯113121⪁⪩⨒∯1112102≎⊠⪸⪩⨒∯313101)⩺⪪((↽≂⪩⨒∯1003103)↼⊘⨖(⪩⨒∯130111⊭↱⪩⨒∯223300)∷(⊲⪭(⪩⨒∯221130∕⩚⪩⨒∯1030123)))","cot":[{"info":"⪩⨒∯113301≀⩗∶⪩⨒∯112002=⪩⨒∯0","layer":3},{"info":"⪩⨒∯323303≭⪩⨒∯110202=NaN","layer":3},{"info":"⪩⨒∯0∑⇟⊟NaN=NaN","layer":2},{"info":"⪩⨒∯312200⊉↱≁⪩⨒∯113121=⪩⨒∯12103312","layer":3},{"info":"⪩⨒∯1112102≎⊠⪸⪩⨒∯313101=⪩⨒∯11131003131","layer":3},{"info":"⪩⨒∯12103312⪁⪩⨒∯11131003131=NaN","layer":2},{"info":"NaN≚⊃≕NaN=NaN","layer":1},{"info":"↽≂⪩⨒∯1003103=⪩⨒∯-2012212","layer":3},{"info":"⪩⨒∯130111⊭↱⪩⨒∯223300=⪩⨒∯132323","layer":3},{"info":"⪩⨒∯-2012212↼⊘⨖⪩⨒∯132323=⪩⨒∯322120","layer":2},{"info":"⪩⨒∯221130∕⩚⪩⨒∯1030123=⪩⨒∯-221133","layer":3},{"info":"⊲⪭⪩⨒∯-221133=⪩⨒∯212301","layer":2},{"info":"⪩⨒∯322120∷⪩⨒∯212301=⪩⨒∯212301","layer":1},{"info":"NaN⩺⪪⪩⨒∯212301=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"($1969$⋆⋳)≝⊿($2167$∵≐)⨑≵⋬(⊽$4081$)⪔(⨦⪝$2939$)⫌⩉⩟($2530$⨻⩈⩔$1262$)⇻⋧≁(⇺⋃$2193$)⫁⪎($4645$⨟⋌⩍$7612$⪍↜⋙$4466$⩘$7100$)","expression":"(⪩⨒∯132301⋆⋳)≝⊿(⪩⨒∯201313∵≐)⨑≵⋬(⊽⪩⨒∯333301)⪔(⨦⪝⪩⨒∯231323)⫌⩉⩟(⪩⨒∯213202⨻⩈⩔⪩⨒∯103232)⇻⋧≁(⇺⋃⪩⨒∯202101)⫁⪎(⪩⨒∯1020211⨟⋌⩍⪩⨒∯1312330⪍↜⋙⪩⨒∯1011302⩘⪩⨒∯1232330)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":14715,"operation_count":15,"complexity_ratio":981.0,"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":1969,"base":4}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"numeric_atoms","value":2167,"base":4}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":4081,"base":4}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":2939,"base":4}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":2530,"base":4},"right_expr":{"type":"numeric_atoms","value":1262,"base":4}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":2193,"base":4}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4645,"base":4},"right_expr":{"type":"numeric_atoms","value":7612,"base":4}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4466,"base":4},"right_expr":{"type":"numeric_atoms","value":7100,"base":4}}}}},"used_operators":["XIIwhv8d0m","XnXgA4xnOs","OKKcZfAt5B","6MpZysEj17","59igzFyhWz","GjBEYRfMaF","QxG7OkqoLX","SUjycxNXIR","xRrnTEsQ6j","jCPkEVoL5K","nEsXyWgiOK","E5v5B3UAjG","L05ObWFQCd","rGHVDoGpnC","cHh1gJQ2o6"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","12rbrZMWeM","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","Tcnh7f0tEr","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⪩⨒∯-302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1969","layer":4},{"info":"compute unary expreesion, input=1969, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-3970","layer":3},{"info":"number node, value=2167","layer":4},{"info":"compute unary expreesion, input=2167, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=1221","layer":3},{"info":"compute binary expreesion, left_input=-3970, right_input=1221, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=995","layer":2},{"info":"number node, value=4081","layer":4},{"info":"compute unary expreesion, input=4081, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=9684","layer":3},{"info":"number node, value=2939","layer":4},{"info":"compute unary expreesion, input=2939, 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=9684, right_input=-1884, 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=995, right_input=450, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=3204","layer":1},{"info":"number node, value=2530","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=2530, right_input=1262, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=11839","layer":3},{"info":"number node, value=2193","layer":4},{"info":"compute unary expreesion, input=2193, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11839, 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=4645","layer":4},{"info":"number node, value=7612","layer":4},{"info":"compute binary expreesion, left_input=4645, right_input=7612, 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=4466","layer":4},{"info":"number node, value=7100","layer":4},{"info":"compute binary expreesion, left_input=4466, right_input=7100, 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 = 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=-447, 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=3204, right_input=nan, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯132301⋆⋳)≝⊿(⪩⨒∯201313∵≐)⨑≵⋬(⊽⪩⨒∯333301)⪔(⨦⪝⪩⨒∯231323)⫌⩉⩟(⪩⨒∯213202⨻⩈⩔⪩⨒∯103232)⇻⋧≁(⇺⋃⪩⨒∯202101)⫁⪎(⪩⨒∯1020211⨟⋌⩍⪩⨒∯1312330⪍↜⋙⪩⨒∯1011302⩘⪩⨒∯1232330)=⪩⨒∯-302","reverse_text":"⪩⨒∯-302=(⪩⨒∯132301⋆⋳)≝⊿(⪩⨒∯201313∵≐)⨑≵⋬(⊽⪩⨒∯333301)⪔(⨦⪝⪩⨒∯231323)⫌⩉⩟(⪩⨒∯213202⨻⩈⩔⪩⨒∯103232)⇻⋧≁(⇺⋃⪩⨒∯202101)⫁⪎(⪩⨒∯1020211⨟⋌⩍⪩⨒∯1312330⪍↜⋙⪩⨒∯1011302⩘⪩⨒∯1232330)","cot":[{"info":"⪩⨒∯132301⋆⋳=⪩⨒∯-332002","layer":3},{"info":"⪩⨒∯201313∵≐=⪩⨒∯103011","layer":3},{"info":"⪩⨒∯-332002≝⊿⪩⨒∯103011=⪩⨒∯33203","layer":2},{"info":"⊽⪩⨒∯333301=⪩⨒∯2113110","layer":3},{"info":"⨦⪝⪩⨒∯231323=⪩⨒∯-131130","layer":3},{"info":"⪩⨒∯2113110⪔⪩⨒∯-131130=⪩⨒∯13002","layer":2},{"info":"⪩⨒∯33203⨑≵⋬⪩⨒∯13002=⪩⨒∯302010","layer":1},{"info":"⪩⨒∯213202⨻⩈⩔⪩⨒∯103232=⪩⨒∯2320333","layer":3},{"info":"⇺⋃⪩⨒∯202101=NaN","layer":3},{"info":"⪩⨒∯2320333⇻⋧≁NaN=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯1020211⨟⋌⩍⪩⨒∯1312330=NaN","layer":3},{"info":"⪩⨒∯1011302⩘⪩⨒∯1232330=⪩⨒∯2200","layer":3},{"info":"NaN⪍↜⋙⪩⨒∯2200=NaN","layer":2},{"info":"⪩⨒∯-12333⫁⪎NaN=NaN","layer":1},{"info":"⪩⨒∯302010⫌⩉⩟NaN=⪩⨒∯-302","layer":0}]}
{"id":397,"expression_no_base_symbol":"($2185$∺≝⩲$4598$⊱⇼⊻(⋃$2325$))≝⊿($2383$⨜⨶$4879$⇴∐(⋃$1488$))↙(((⋎⨆$1886$)⨶)⊓⋫)","expression":"(⪩⨒∯202021∺≝⩲⪩⨒∯1013312⊱⇼⊻(⋃⪩⨒∯210111))≝⊿(⪩⨒∯211033⨜⨶⪩⨒∯1030033⇴∐(⋃⪩⨒∯113100))↙(((⋎⨆⪩⨒∯131132)⨶)⊓⋫)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1764,"operation_count":11,"complexity_ratio":160.36363636363637,"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":2185,"base":4},"right_expr":{"type":"numeric_atoms","value":4598,"base":4}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":2325,"base":4}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2383,"base":4},"right_expr":{"type":"numeric_atoms","value":4879,"base":4}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"numeric_atoms","value":1488,"base":4}}}},"right_expr":{"type":"unary","operator":"⊓⋫","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1886,"base":4}}}}},"used_operators":["yyfyN0ffXY","OKKcZfAt5B","FyVja0WsTP","KPf6cnQVty","3mBM5G4a3l","HnzytWxmAO","HiPekx5b7W","IqGBaFP0uj","rFxw8gIMmB","E64sFOc4tB"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","12rbrZMWeM","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","g55IO6H4Gj","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","f6k1SAg4EE","Qy55tPpLXF","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"⪩⨒∯-1023312","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2185","layer":4},{"info":"number node, value=4598","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=4598, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2325","layer":4},{"info":"compute unary expreesion, input=2325, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=4752","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4752, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=-436","layer":2},{"info":"number node, value=2383","layer":4},{"info":"number node, value=4879","layer":4},{"info":"compute binary expreesion, left_input=2383, right_input=4879, 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=-9502","layer":3},{"info":"number node, value=1488","layer":4},{"info":"compute unary expreesion, input=1488, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=3078","layer":3},{"info":"compute binary expreesion, left_input=-9502, right_input=3078, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"compute binary expreesion, left_input=-436, right_input=-116, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=135","layer":1},{"info":"number node, value=1886","layer":4},{"info":"compute unary expreesion, input=1886, 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 = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-1746","layer":2},{"info":"compute unary expreesion, input=-1746, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=1618","layer":1},{"info":"compute binary expreesion, left_input=135, right_input=1618, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4854","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯202021∺≝⩲⪩⨒∯1013312⊱⇼⊻(⋃⪩⨒∯210111))≝⊿(⪩⨒∯211033⨜⨶⪩⨒∯1030033⇴∐(⋃⪩⨒∯113100))↙(((⋎⨆⪩⨒∯131132)⨶)⊓⋫)=⪩⨒∯-1023312","reverse_text":"⪩⨒∯-1023312=(⪩⨒∯202021∺≝⩲⪩⨒∯1013312⊱⇼⊻(⋃⪩⨒∯210111))≝⊿(⪩⨒∯211033⨜⨶⪩⨒∯1030033⇴∐(⋃⪩⨒∯113100))↙(((⋎⨆⪩⨒∯131132)⨶)⊓⋫)","cot":[{"info":"⪩⨒∯202021∺≝⩲⪩⨒∯1013312=⪩⨒∯2200","layer":3},{"info":"⋃⪩⨒∯210111=⪩⨒∯1022100","layer":3},{"info":"⪩⨒∯2200⊱⇼⊻⪩⨒∯1022100=⪩⨒∯-12310","layer":2},{"info":"⪩⨒∯211033⨜⨶⪩⨒∯1030033=⪩⨒∯-2110132","layer":3},{"info":"⋃⪩⨒∯113100=⪩⨒∯300012","layer":3},{"info":"⪩⨒∯-2110132⇴∐⪩⨒∯300012=⪩⨒∯-1310","layer":2},{"info":"⪩⨒∯-12310≝⊿⪩⨒∯-1310=⪩⨒∯2013","layer":1},{"info":"⋎⨆⪩⨒∯131132=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⨶=⪩⨒∯-123102","layer":2},{"info":"⪩⨒∯-123102⊓⋫=⪩⨒∯121102","layer":1},{"info":"⪩⨒∯2013↙⪩⨒∯121102=⪩⨒∯-1023312","layer":0}]}
{"id":398,"expression_no_base_symbol":"⊽((⊖∈$5950$⫯⪬∳$3811$)⊔((-$5500$)⪎⩰))","expression":"⊽((⊖∈⪩⨒∯1130332⫯⪬∳⪩⨒∯323203)⊔((-⪩⨒∯1111330)⪎⩰))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":121,"operation_count":6,"complexity_ratio":20.166666666666668,"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":5950,"base":4},"right_expr":{"type":"numeric_atoms","value":3811,"base":4}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5500,"base":4}}}}},"used_operators":["QxG7OkqoLX","E4l6HwMY31","YFxL8Sc2Zy","d7ASUq0ydm","2ufhKmSs5H","t8gj7n24qd"],"dependent_operators":["g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C"],"result":"⪩⨒∯13312022010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5950","layer":4},{"info":"number node, value=3811","layer":4},{"info":"compute binary expreesion, left_input=5950, right_input=3811, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=25972","layer":3},{"info":"compute unary expreesion, input=25972, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=513846","layer":2},{"info":"number node, value=5500","layer":4},{"info":"compute unary expreesion, input=5500, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5500","layer":3},{"info":"compute unary expreesion, input=-5500, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-122481","layer":2},{"info":"compute binary expreesion, left_input=513846, right_input=-122481, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=1027657","layer":1},{"info":"compute unary expreesion, input=1027657, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=2056836","layer":0}],"base":4,"result_base":4,"text":"⊽((⊖∈⪩⨒∯1130332⫯⪬∳⪩⨒∯323203)⊔((-⪩⨒∯1111330)⪎⩰))=⪩⨒∯13312022010","reverse_text":"⪩⨒∯13312022010=⊽((⊖∈⪩⨒∯1130332⫯⪬∳⪩⨒∯323203)⊔((-⪩⨒∯1111330)⪎⩰))","cot":[{"info":"⪩⨒∯1130332⫯⪬∳⪩⨒∯323203=⪩⨒∯12111310","layer":3},{"info":"⊖∈⪩⨒∯12111310=⪩⨒∯1331130312","layer":2},{"info":"-⪩⨒∯1111330=⪩⨒∯-1111330","layer":3},{"info":"⪩⨒∯-1111330⪎⩰=⪩⨒∯-131321301","layer":2},{"info":"⪩⨒∯1331130312⊔⪩⨒∯-131321301=⪩⨒∯3322321021","layer":1},{"info":"⊽⪩⨒∯3322321021=⪩⨒∯13312022010","layer":0}]}
{"id":399,"expression_no_base_symbol":"($3777$⨔≚≋$1418$∠↢$7600$⨚⇆$4066$⫃⨇(⋃($1610$⪨⊡$9227$)))⇴(⨛$2622$)⫗⊷⫓($4144$⪒⊣⊆$1655$)≹⇙⪍($5204$⊹∫⫚$1584$≎⊠⪸$2955$⫒⫫$3679$)","expression":"(⪩⨒∯323001⨔≚≋⪩⨒∯112022∠↢⪩⨒∯1312300⨚⇆⪩⨒∯333202⫃⨇(⋃(⪩⨒∯121022⪨⊡⪩⨒∯2100023)))⇴(⨛⪩⨒∯220332)⫗⊷⫓(⪩⨒∯1000300⪒⊣⊆⪩⨒∯121313)≹⇙⪍(⪩⨒∯1101110⊹∫⫚⪩⨒∯120300≎⊠⪸⪩⨒∯232023⫒⫫⪩⨒∯321133)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":145453,"operation_count":14,"complexity_ratio":10389.5,"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":3777,"base":4},"right_expr":{"type":"numeric_atoms","value":1418,"base":4}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":7600,"base":4},"right_expr":{"type":"numeric_atoms","value":4066,"base":4}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1610,"base":4},"right_expr":{"type":"numeric_atoms","value":9227,"base":4}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":2622,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":4144,"base":4},"right_expr":{"type":"numeric_atoms","value":1655,"base":4}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5204,"base":4},"right_expr":{"type":"numeric_atoms","value":1584,"base":4}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2955,"base":4},"right_expr":{"type":"numeric_atoms","value":3679,"base":4}}}}},"used_operators":["4JB6nKBMSY","09Ly4LVMIf","KbjG8mgYpV","Z57zeUYC9z","lwHaAYXP2r","3mBM5G4a3l","kuIXHzHcAH","AHs5Up7iyr","zashukvMKz","CoMdbyAt7R","eRqsBgTDFp","bJkvcejdHO","uWAJUKEvyW","6Ko8hGgeMq"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","g55IO6H4Gj","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","dWAJyo7jo9","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","sdazOOVcIp","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3777","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=1418, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=7600","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=7600, right_input=4066, 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=9872, 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=1610","layer":4},{"info":"number node, value=9227","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=9227, 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 = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=102","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=102, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=2622","layer":4},{"info":"compute unary expreesion, input=2622, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=4144","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=4144, right_input=1655, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=8288","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8288, 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=5204","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=5204, right_input=1584, 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":"number node, value=2955","layer":4},{"info":"number node, value=3679","layer":4},{"info":"compute binary expreesion, left_input=2955, right_input=3679, 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=0, 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=-134, right_input=67, 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 = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯323001⨔≚≋⪩⨒∯112022∠↢⪩⨒∯1312300⨚⇆⪩⨒∯333202⫃⨇(⋃(⪩⨒∯121022⪨⊡⪩⨒∯2100023)))⇴(⨛⪩⨒∯220332)⫗⊷⫓(⪩⨒∯1000300⪒⊣⊆⪩⨒∯121313)≹⇙⪍(⪩⨒∯1101110⊹∫⫚⪩⨒∯120300≎⊠⪸⪩⨒∯232023⫒⫫⪩⨒∯321133)=NaN","reverse_text":"NaN=(⪩⨒∯323001⨔≚≋⪩⨒∯112022∠↢⪩⨒∯1312300⨚⇆⪩⨒∯333202⫃⨇(⋃(⪩⨒∯121022⪨⊡⪩⨒∯2100023)))⇴(⨛⪩⨒∯220332)⫗⊷⫓(⪩⨒∯1000300⪒⊣⊆⪩⨒∯121313)≹⇙⪍(⪩⨒∯1101110⊹∫⫚⪩⨒∯120300≎⊠⪸⪩⨒∯232023⫒⫫⪩⨒∯321133)","cot":[{"info":"⪩⨒∯323001⨔≚≋⪩⨒∯112022=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯1312300⨚⇆⪩⨒∯333202=NaN","layer":3},{"info":"⪩⨒∯2122100∠↢NaN=NaN","layer":2},{"info":"⪩⨒∯121022⪨⊡⪩⨒∯2100023=⪩⨒∯0","layer":3},{"info":"⋃⪩⨒∯0=⪩⨒∯1212","layer":2},{"info":"NaN⫃⨇⪩⨒∯1212=NaN","layer":1},{"info":"⨛⪩⨒∯220332=NaN","layer":3},{"info":"⪩⨒∯1000300⪒⊣⊆⪩⨒∯121313=⪩⨒∯2001200","layer":3},{"info":"NaN⫗⊷⫓⪩⨒∯2001200=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯1101110⊹∫⫚⪩⨒∯120300=⪩⨒∯0","layer":3},{"info":"⪩⨒∯232023⫒⫫⪩⨒∯321133=NaN","layer":3},{"info":"⪩⨒∯0≎⊠⪸NaN=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯-2012≹⇙⪍⪩⨒∯1003=NaN","layer":1},{"info":"NaN⇴NaN=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"⨣⨃⇪(∂(($6792$⨹)≬⇓$2132$⊨$1442$))","expression":"⨣⨃⇪(∂((⪩⨒∯1222020⨹)≬⇓⪩⨒∯201110⊨⪩⨒∯112202))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3657,"operation_count":5,"complexity_ratio":731.4,"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":6792,"base":4}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2132,"base":4},"right_expr":{"type":"numeric_atoms","value":1442,"base":4}}}}},"used_operators":["AcOhelriW5","Uaa54Peajs","jWTQ2TZYIH","UnCoSGIALn","vg4gO5BX6G"],"dependent_operators":["s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","mp7IySMOzn","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP"],"result":"⪩⨒∯111331","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6792","layer":4},{"info":"compute unary expreesion, input=6792, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=13584","layer":3},{"info":"number node, value=2132","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=1442, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=9559","layer":3},{"info":"compute binary expreesion, left_input=13584, right_input=9559, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":2},{"info":"compute unary expreesion, input=-22, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-242","layer":1},{"info":"compute unary expreesion, input=-242, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":0}],"base":4,"result_base":4,"text":"⨣⨃⇪(∂((⪩⨒∯1222020⨹)≬⇓⪩⨒∯201110⊨⪩⨒∯112202))=⪩⨒∯111331","reverse_text":"⪩⨒∯111331=⨣⨃⇪(∂((⪩⨒∯1222020⨹)≬⇓⪩⨒∯201110⊨⪩⨒∯112202))","cot":[{"info":"⪩⨒∯1222020⨹=⪩⨒∯3110100","layer":3},{"info":"⪩⨒∯201110⊨⪩⨒∯112202=⪩⨒∯2111113","layer":3},{"info":"⪩⨒∯3110100≬⇓⪩⨒∯2111113=⪩⨒∯-112","layer":2},{"info":"∂⪩⨒∯-112=⪩⨒∯-3302","layer":1},{"info":"⨣⨃⇪⪩⨒∯-3302=⪩⨒∯111331","layer":0}]}
{"id":401,"expression_no_base_symbol":"($2031$⊮⊟↴$6822$≌($1826$∽$1854$)⫲)⊢((⨙⪌($1915$↢$4409$))⇣⩺⋵($1429$⪭$4655$⪨≂$5386$⇂≾⫗$4194$))","expression":"(⪩⨒∯133233⊮⊟↴⪩⨒∯1222212≌(⪩⨒∯130202∽⪩⨒∯130332)⫲)⊢((⨙⪌(⪩⨒∯131323↢⪩⨒∯1010321))⇣⩺⋵(⪩⨒∯112111⪭⪩⨒∯1020233⪨≂⪩⨒∯1110022⇂≾⫗⪩⨒∯1001202))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16297,"operation_count":11,"complexity_ratio":1481.5454545454545,"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":2031,"base":4},"right_expr":{"type":"numeric_atoms","value":6822,"base":4}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1826,"base":4},"right_expr":{"type":"numeric_atoms","value":1854,"base":4}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1915,"base":4},"right_expr":{"type":"numeric_atoms","value":4409,"base":4}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1429,"base":4},"right_expr":{"type":"numeric_atoms","value":4655,"base":4}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5386,"base":4},"right_expr":{"type":"numeric_atoms","value":4194,"base":4}}}}},"used_operators":["5twsqlHp2o","9xnGDUPbC6","lyWz822IDG","QDVgd2eftb","y4ImoPnbV5","F4yD0voBRQ","vEGLkm4Z2k","WR6HLWljOP","sdazOOVcIp","j9kHMeSvPp","aBQ6xLxuTc"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","NTOWxs364D","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2031","layer":4},{"info":"number node, value=6822","layer":4},{"info":"compute binary expreesion, left_input=2031, right_input=6822, 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=1826","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=1854, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-14514","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14514, 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 = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=nan","layer":1},{"info":"number node, value=1915","layer":4},{"info":"number node, value=4409","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=4409, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1431","layer":3},{"info":"compute unary expreesion, input=1431, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=1429","layer":4},{"info":"number node, value=4655","layer":4},{"info":"compute binary expreesion, left_input=1429, right_input=4655, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=5386","layer":4},{"info":"number node, value=4194","layer":4},{"info":"compute binary expreesion, left_input=5386, right_input=4194, 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 = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=1464","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=1464, 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 = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯133233⊮⊟↴⪩⨒∯1222212≌(⪩⨒∯130202∽⪩⨒∯130332)⫲)⊢((⨙⪌(⪩⨒∯131323↢⪩⨒∯1010321))⇣⩺⋵(⪩⨒∯112111⪭⪩⨒∯1020233⪨≂⪩⨒∯1110022⇂≾⫗⪩⨒∯1001202))=NaN","reverse_text":"NaN=(⪩⨒∯133233⊮⊟↴⪩⨒∯1222212≌(⪩⨒∯130202∽⪩⨒∯130332)⫲)⊢((⨙⪌(⪩⨒∯131323↢⪩⨒∯1010321))⇣⩺⋵(⪩⨒∯112111⪭⪩⨒∯1020233⪨≂⪩⨒∯1110022⇂≾⫗⪩⨒∯1001202))","cot":[{"info":"⪩⨒∯133233⊮⊟↴⪩⨒∯1222212=⪩⨒∯0","layer":3},{"info":"⪩⨒∯130202∽⪩⨒∯130332=⪩⨒∯-3202302","layer":3},{"info":"⪩⨒∯0≌⪩⨒∯-3202302=NaN","layer":2},{"info":"NaN⫲=NaN","layer":1},{"info":"⪩⨒∯131323↢⪩⨒∯1010321=⪩⨒∯112113","layer":3},{"info":"⨙⪌⪩⨒∯112113=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯112111⪭⪩⨒∯1020233=⪩⨒∯11","layer":3},{"info":"⪩⨒∯1110022⇂≾⫗⪩⨒∯1001202=⪩⨒∯-22210","layer":3},{"info":"⪩⨒∯11⪨≂⪩⨒∯-22210=⪩⨒∯112320","layer":2},{"info":"⪩⨒∯31210⇣⩺⋵⪩⨒∯112320=⪩⨒∯-10010","layer":1},{"info":"NaN⊢⪩⨒∯-10010=NaN","layer":0}]}
{"id":402,"expression_no_base_symbol":"(($6687$⫦⪉$2725$)↳≱($1079$⨚⇆$1566$)⪠⩆⊳)∝($7136$≳⇉$6476$∪⫐$1631$≃$6650$)∴(($3238$∖$7943$)⨑≵⋬$2081$⊬⨰$1951$)","expression":"((⪩⨒∯1220133⫦⪉⪩⨒∯222211)↳≱(⪩⨒∯100313⨚⇆⪩⨒∯120132)⪠⩆⊳)∝(⪩⨒∯1233200≳⇉⪩⨒∯1211030∪⫐⪩⨒∯121133≃⪩⨒∯1213322)∴((⪩⨒∯302212∖⪩⨒∯1330013)⨑≵⋬⪩⨒∯200201⊬⨰⪩⨒∯132133)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":21568,"operation_count":12,"complexity_ratio":1797.3333333333333,"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":6687,"base":4},"right_expr":{"type":"numeric_atoms","value":2725,"base":4}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1079,"base":4},"right_expr":{"type":"numeric_atoms","value":1566,"base":4}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":7136,"base":4},"right_expr":{"type":"numeric_atoms","value":6476,"base":4}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1631,"base":4},"right_expr":{"type":"numeric_atoms","value":6650,"base":4}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3238,"base":4},"right_expr":{"type":"numeric_atoms","value":7943,"base":4}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2081,"base":4},"right_expr":{"type":"numeric_atoms","value":1951,"base":4}}}}},"used_operators":["cTDWOvIxvz","JLbD19bQDL","JwTKLfZU96","wscyQdcy20","lwHaAYXP2r","hrf7POJlIJ","7YooWSwCyH","V0kx6qeWkN","YbVcJGFEVW","XnXgA4xnOs","tXD093vOjl","s3Fd5m9Dh2"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rJVOvQCfKK","2DDjHMKMc0","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6687","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=6687, right_input=2725, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8474","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=1566, 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=-8474, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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=7136","layer":4},{"info":"number node, value=6476","layer":4},{"info":"compute binary expreesion, left_input=7136, right_input=6476, 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=1631","layer":4},{"info":"number node, value=6650","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=6650, 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=-6564","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6564, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":2},{"info":"number node, value=3238","layer":4},{"info":"number node, value=7943","layer":4},{"info":"compute binary expreesion, left_input=3238, right_input=7943, 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=2081","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=1951, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8829","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8829, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-60424","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-60424, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1220133⫦⪉⪩⨒∯222211)↳≱(⪩⨒∯100313⨚⇆⪩⨒∯120132)⪠⩆⊳)∝(⪩⨒∯1233200≳⇉⪩⨒∯1211030∪⫐⪩⨒∯121133≃⪩⨒∯1213322)∴((⪩⨒∯302212∖⪩⨒∯1330013)⨑≵⋬⪩⨒∯200201⊬⨰⪩⨒∯132133)=NaN","reverse_text":"NaN=((⪩⨒∯1220133⫦⪉⪩⨒∯222211)↳≱(⪩⨒∯100313⨚⇆⪩⨒∯120132)⪠⩆⊳)∝(⪩⨒∯1233200≳⇉⪩⨒∯1211030∪⫐⪩⨒∯121133≃⪩⨒∯1213322)∴((⪩⨒∯302212∖⪩⨒∯1330013)⨑≵⋬⪩⨒∯200201⊬⨰⪩⨒∯132133)","cot":[{"info":"⪩⨒∯1220133⫦⪉⪩⨒∯222211=⪩⨒∯-2010122","layer":3},{"info":"⪩⨒∯100313⨚⇆⪩⨒∯120132=NaN","layer":3},{"info":"⪩⨒∯-2010122↳≱NaN=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⪠⩆⊳=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1233200≳⇉⪩⨒∯1211030=NaN","layer":3},{"info":"⪩⨒∯121133≃⪩⨒∯1213322=⪩⨒∯-1212210","layer":3},{"info":"NaN∪⫐⪩⨒∯-1212210=NaN","layer":2},{"info":"⪩⨒∯302212∖⪩⨒∯1330013=⪩⨒∯0","layer":3},{"info":"⪩⨒∯200201⊬⨰⪩⨒∯132133=⪩⨒∯2021331","layer":3},{"info":"⪩⨒∯0⨑≵⋬⪩⨒∯2021331=⪩⨒∯-32300020","layer":2},{"info":"NaN∴⪩⨒∯-32300020=NaN","layer":1},{"info":"⪩⨒∯0∝NaN=NaN","layer":0}]}
{"id":403,"expression_no_base_symbol":"($2559$⫞⩸⩒$1265$∽($3586$⪃↞⩐))⇂≾⫗(↞≼($3422$⪔$2081$))⨚⇆(($2066$⫡⨏$3426$)-(⊥$1542$))≄⊠($1194$≚⊃≕$1471$∙⊟$7733$∥⊢⊲$3149$)","expression":"(⪩⨒∯213333⫞⩸⩒⪩⨒∯103301∽(⪩⨒∯320002⪃↞⩐))⇂≾⫗(↞≼(⪩⨒∯311132⪔⪩⨒∯200201))⨚⇆((⪩⨒∯200102⫡⨏⪩⨒∯311202)-(⊥⪩⨒∯120012))≄⊠(⪩⨒∯102222≚⊃≕⪩⨒∯112333∙⊟⪩⨒∯1320311∥⊢⊲⪩⨒∯301031)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7932,"operation_count":14,"complexity_ratio":566.5714285714286,"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":2559,"base":4},"right_expr":{"type":"numeric_atoms","value":1265,"base":4}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":3586,"base":4}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":3422,"base":4},"right_expr":{"type":"numeric_atoms","value":2081,"base":4}}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2066,"base":4},"right_expr":{"type":"numeric_atoms","value":3426,"base":4}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1542,"base":4}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1194,"base":4},"right_expr":{"type":"numeric_atoms","value":1471,"base":4}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":7733,"base":4},"right_expr":{"type":"numeric_atoms","value":3149,"base":4}}}}},"used_operators":["lwHaAYXP2r","aBQ6xLxuTc","y4ImoPnbV5","XGcMNugi78","grXIztHqDa","DE7zCoGJt9","GjBEYRfMaF","vXNesLlMH1","rysDP5nf3Z","QMFrweE19q","Q3PJZHRvZv","SxTAKzQCrw","Bmrmz2XGnR","v1UQAVDJRr"],"dependent_operators":["gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","QMFrweE19q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2559","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=1265, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1265","layer":3},{"info":"number node, value=3586","layer":4},{"info":"compute unary expreesion, input=3586, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=21822","layer":3},{"info":"compute binary expreesion, left_input=1265, right_input=21822, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-71613","layer":2},{"info":"number node, value=3422","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=3422, right_input=2081, 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 = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=3186","layer":2},{"info":"compute binary expreesion, left_input=-71613, right_input=3186, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"number node, value=2066","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=3426, 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=17965","layer":3},{"info":"number node, value=1542","layer":4},{"info":"compute unary expreesion, input=1542, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17965, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1194","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=1471, 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=7733","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=7733, right_input=3149, 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=67, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=21414","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=21414, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=347292","layer":1},{"info":"compute binary expreesion, left_input=-670, right_input=347292, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯213333⫞⩸⩒⪩⨒∯103301∽(⪩⨒∯320002⪃↞⩐))⇂≾⫗(↞≼(⪩⨒∯311132⪔⪩⨒∯200201))⨚⇆((⪩⨒∯200102⫡⨏⪩⨒∯311202)-(⊥⪩⨒∯120012))≄⊠(⪩⨒∯102222≚⊃≕⪩⨒∯112333∙⊟⪩⨒∯1320311∥⊢⊲⪩⨒∯301031)=NaN","reverse_text":"NaN=(⪩⨒∯213333⫞⩸⩒⪩⨒∯103301∽(⪩⨒∯320002⪃↞⩐))⇂≾⫗(↞≼(⪩⨒∯311132⪔⪩⨒∯200201))⨚⇆((⪩⨒∯200102⫡⨏⪩⨒∯311202)-(⊥⪩⨒∯120012))≄⊠(⪩⨒∯102222≚⊃≕⪩⨒∯112333∙⊟⪩⨒∯1320311∥⊢⊲⪩⨒∯301031)","cot":[{"info":"⪩⨒∯213333⫞⩸⩒⪩⨒∯103301=⪩⨒∯103301","layer":3},{"info":"⪩⨒∯320002⪃↞⩐=⪩⨒∯11110332","layer":3},{"info":"⪩⨒∯103301∽⪩⨒∯11110332=⪩⨒∯-101132331","layer":2},{"info":"⪩⨒∯311132⪔⪩⨒∯200201=⪩⨒∯13002","layer":3},{"info":"↞≼⪩⨒∯13002=⪩⨒∯301302","layer":2},{"info":"⪩⨒∯-101132331⇂≾⫗⪩⨒∯301302=⪩⨒∯-22132","layer":1},{"info":"⪩⨒∯200102⫡⨏⪩⨒∯311202=⪩⨒∯10120231","layer":3},{"info":"⊥⪩⨒∯120012=NaN","layer":3},{"info":"⪩⨒∯10120231-NaN=NaN","layer":2},{"info":"⪩⨒∯102222≚⊃≕⪩⨒∯112333=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1320311∥⊢⊲⪩⨒∯301031=NaN","layer":3},{"info":"⪩⨒∯1003∙⊟NaN=⪩⨒∯11032212","layer":2},{"info":"NaN≄⊠⪩⨒∯11032212=⪩⨒∯1110302130","layer":1},{"info":"⪩⨒∯-22132⨚⇆⪩⨒∯1110302130=NaN","layer":0}]}
{"id":404,"expression_no_base_symbol":"(⊢≑≆((⇵⪽$2616$)⨳⩥⨓($3417$⫲⨊)))⪚⩙≫","expression":"(⊢≑≆((⇵⪽⪩⨒∯220320)⨳⩥⨓(⪩⨒∯311121⫲⨊)))⪚⩙≫","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":60,"operation_count":5,"complexity_ratio":12.0,"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":2616,"base":4}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":3417,"base":4}}}}},"used_operators":["4n53wtyJvv","27wFxooxGf","nCS4ZIUYfx","ZGCBLdVRRX","CArV6hThFE"],"dependent_operators":["Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","U7g4x0WXJJ","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2616","layer":4},{"info":"compute unary expreesion, input=2616, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"number node, value=3417","layer":4},{"info":"compute unary expreesion, input=3417, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=17868","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17868, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', 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 = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⊢≑≆((⇵⪽⪩⨒∯220320)⨳⩥⨓(⪩⨒∯311121⫲⨊)))⪚⩙≫=NaN","reverse_text":"NaN=(⊢≑≆((⇵⪽⪩⨒∯220320)⨳⩥⨓(⪩⨒∯311121⫲⨊)))⪚⩙≫","cot":[{"info":"⇵⪽⪩⨒∯220320=NaN","layer":3},{"info":"⪩⨒∯311121⫲⨊=⪩⨒∯10113030","layer":3},{"info":"NaN⨳⩥⨓⪩⨒∯10113030=NaN","layer":2},{"info":"⊢≑≆NaN=NaN","layer":1},{"info":"NaN⪚⩙≫=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"(($1719$⫌⩉⩟$3718$)⩨($2367$*$2359$)⫳≱↱((≸$1209$)⫦⪉($1154$⇆⨓≜)))⪔⊥(($5234$⩍⋽⫝̸$5340$↺($1439$⪒$1706$))⋥⋵⩄(($3272$⇼⇔∾$3150$)⋥⋵⩄$5347$⊮⊟↴$1020$))","expression":"((⪩⨒∯122313⫌⩉⩟⪩⨒∯322012)⩨(⪩⨒∯210333*⪩⨒∯210313)⫳≱↱((≸⪩⨒∯102321)⫦⪉(⪩⨒∯102002⇆⨓≜)))⪔⊥((⪩⨒∯1101302⩍⋽⫝̸⪩⨒∯1103130↺(⪩⨒∯112133⪒⪩⨒∯122222))⋥⋵⩄((⪩⨒∯303020⇼⇔∾⪩⨒∯301032)⋥⋵⩄⪩⨒∯1103203⊮⊟↴⪩⨒∯33330))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":133594,"operation_count":15,"complexity_ratio":8906.266666666666,"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":1719,"base":4},"right_expr":{"type":"numeric_atoms","value":3718,"base":4}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2367,"base":4},"right_expr":{"type":"numeric_atoms","value":2359,"base":4}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1209,"base":4}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":1154,"base":4}}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":5234,"base":4},"right_expr":{"type":"numeric_atoms","value":5340,"base":4}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1439,"base":4},"right_expr":{"type":"numeric_atoms","value":1706,"base":4}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3272,"base":4},"right_expr":{"type":"numeric_atoms","value":3150,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5347,"base":4},"right_expr":{"type":"numeric_atoms","value":1020,"base":4}}}}},"used_operators":["HJ9erzHUuu","ZvLB05nZmT","2DlMacCsIx","XIIwhv8d0m","9HNa5Wba9A","wscyQdcy20","eOf03JbCpp","KvvgdUaMHJ","7t3wd0Fuz7","7j4O788W3g","BiWNJpBvwn","f6k1SAg4EE","tifHPKVTfV","QDVgd2eftb"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","Uaa54Peajs","KYD54nUTWz","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":4},{"info":"number node, value=3718","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=3718, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2367","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=2367, right_input=2359, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5583753","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=5583753, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=335028","layer":2},{"info":"number node, value=1209","layer":4},{"info":"compute unary expreesion, input=1209, 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=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=58, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4784","layer":2},{"info":"compute binary expreesion, left_input=335028, right_input=4784, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=5234","layer":4},{"info":"number node, value=5340","layer":4},{"info":"compute binary expreesion, left_input=5234, right_input=5340, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4394","layer":3},{"info":"number node, value=1439","layer":4},{"info":"number node, value=1706","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=1706, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3145","layer":3},{"info":"compute binary expreesion, left_input=4394, right_input=-3145, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3145","layer":2},{"info":"number node, value=3272","layer":4},{"info":"number node, value=3150","layer":4},{"info":"compute binary expreesion, left_input=3272, right_input=3150, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-122","layer":3},{"info":"number node, value=5347","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=5347, right_input=1020, 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=-122, right_input=0, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3145, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-204, 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":4,"result_base":4,"text":"((⪩⨒∯122313⫌⩉⩟⪩⨒∯322012)⩨(⪩⨒∯210333*⪩⨒∯210313)⫳≱↱((≸⪩⨒∯102321)⫦⪉(⪩⨒∯102002⇆⨓≜)))⪔⊥((⪩⨒∯1101302⩍⋽⫝̸⪩⨒∯1103130↺(⪩⨒∯112133⪒⪩⨒∯122222))⋥⋵⩄((⪩⨒∯303020⇼⇔∾⪩⨒∯301032)⋥⋵⩄⪩⨒∯1103203⊮⊟↴⪩⨒∯33330))=NaN","reverse_text":"NaN=((⪩⨒∯122313⫌⩉⩟⪩⨒∯322012)⩨(⪩⨒∯210333*⪩⨒∯210313)⫳≱↱((≸⪩⨒∯102321)⫦⪉(⪩⨒∯102002⇆⨓≜)))⪔⊥((⪩⨒∯1101302⩍⋽⫝̸⪩⨒∯1103130↺(⪩⨒∯112133⪒⪩⨒∯122222))⋥⋵⩄((⪩⨒∯303020⇼⇔∾⪩⨒∯301032)⋥⋵⩄⪩⨒∯1103203⊮⊟↴⪩⨒∯33330))","cot":[{"info":"⪩⨒∯122313⫌⩉⩟⪩⨒∯322012=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯210333*⪩⨒∯210313=⪩⨒∯111103032021","layer":3},{"info":"⪩⨒∯-302⩨⪩⨒∯111103032021=⪩⨒∯1101302310","layer":2},{"info":"≸⪩⨒∯102321=⪩⨒∯322","layer":3},{"info":"⪩⨒∯102002⇆⨓≜=NaN","layer":3},{"info":"⪩⨒∯322⫦⪉NaN=⪩⨒∯1022300","layer":2},{"info":"⪩⨒∯1101302310⫳≱↱⪩⨒∯1022300=⪩⨒∯-3030","layer":1},{"info":"⪩⨒∯1101302⩍⋽⫝̸⪩⨒∯1103130=⪩⨒∯1010222","layer":3},{"info":"⪩⨒∯112133⪒⪩⨒∯122222=⪩⨒∯-301021","layer":3},{"info":"⪩⨒∯1010222↺⪩⨒∯-301021=⪩⨒∯-301021","layer":2},{"info":"⪩⨒∯303020⇼⇔∾⪩⨒∯301032=⪩⨒∯-1322","layer":3},{"info":"⪩⨒∯1103203⊮⊟↴⪩⨒∯33330=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1322⋥⋵⩄⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯-301021⋥⋵⩄NaN=NaN","layer":1},{"info":"⪩⨒∯-3030⪔⊥NaN=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"(⋗⩬⋾$4367$≭$1580$⋳⪒($2235$⩠))≬⋮((⇐$2548$)⫰⋱(≑⋹$4516$))⨔⇊($1634$⫥∨⫟$1034$)⨥⫆$2533$↤⩊$4788$","expression":"(⋗⩬⋾⪩⨒∯1010033≭⪩⨒∯120230⋳⪒(⪩⨒∯202323⩠))≬⋮((⇐⪩⨒∯213310)⫰⋱(≑⋹⪩⨒∯1012210))⨔⇊(⪩⨒∯121202⫥∨⫟⪩⨒∯100022)⨥⫆⪩⨒∯213211↤⩊⪩⨒∯1022310","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":539,"operation_count":12,"complexity_ratio":44.916666666666664,"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":4367,"base":4},"right_expr":{"type":"numeric_atoms","value":1580,"base":4}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2235,"base":4}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2548,"base":4}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":4516,"base":4}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1634,"base":4},"right_expr":{"type":"numeric_atoms","value":1034,"base":4}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2533,"base":4},"right_expr":{"type":"numeric_atoms","value":4788,"base":4}}}}},"used_operators":["kbkesczE7y","DpFCA1CohY","12rbrZMWeM","rxpJgHHUmx","sJAwomhLZr","JclMnS0uGI","6o9Blt3TJ6","nmZMaaE0Q9","6B9nyZLogK","yXekIHxTD4","KYD54nUTWz","13rbtpv6ld"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4367","layer":4},{"info":"number node, value=1580","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=1580, 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=2235","layer":4},{"info":"compute unary expreesion, input=2235, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=2548","layer":4},{"info":"compute unary expreesion, input=2548, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=2514","layer":3},{"info":"number node, value=4516","layer":4},{"info":"compute unary expreesion, input=4516, 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=2514, right_input=1650, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2481","layer":2},{"info":"number node, value=1634","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=1634, right_input=1034, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2533","layer":4},{"info":"number node, value=4788","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=4788, 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 = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2481, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⋗⩬⋾⪩⨒∯1010033≭⪩⨒∯120230⋳⪒(⪩⨒∯202323⩠))≬⋮((⇐⪩⨒∯213310)⫰⋱(≑⋹⪩⨒∯1012210))⨔⇊(⪩⨒∯121202⫥∨⫟⪩⨒∯100022)⨥⫆⪩⨒∯213211↤⩊⪩⨒∯1022310=NaN","reverse_text":"NaN=(⋗⩬⋾⪩⨒∯1010033≭⪩⨒∯120230⋳⪒(⪩⨒∯202323⩠))≬⋮((⇐⪩⨒∯213310)⫰⋱(≑⋹⪩⨒∯1012210))⨔⇊(⪩⨒∯121202⫥∨⫟⪩⨒∯100022)⨥⫆⪩⨒∯213211↤⩊⪩⨒∯1022310","cot":[{"info":"⪩⨒∯1010033≭⪩⨒∯120230=NaN","layer":3},{"info":"⪩⨒∯202323⩠=⪩⨒∯0","layer":3},{"info":"NaN⋳⪒⪩⨒∯0=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"⇐⪩⨒∯213310=⪩⨒∯213102","layer":3},{"info":"≑⋹⪩⨒∯1012210=⪩⨒∯121302","layer":3},{"info":"⪩⨒∯213102⫰⋱⪩⨒∯121302=⪩⨒∯-212301","layer":2},{"info":"⪩⨒∯121202⫥∨⫟⪩⨒∯100022=NaN","layer":3},{"info":"⪩⨒∯213211↤⩊⪩⨒∯1022310=NaN","layer":3},{"info":"NaN⨥⫆NaN=NaN","layer":2},{"info":"⪩⨒∯-212301⨔⇊NaN=NaN","layer":1},{"info":"NaN≬⋮NaN=NaN","layer":0}]}
{"id":407,"expression_no_base_symbol":"(⫡⇟⇯($6087$+⪬∐$4876$≬⋮$1868$⨚$4660$))⨔≚≋($1301$⨔≚≋$4308$⋥≓≎(⊗$2942$)∽(($1021$≠≀$5088$)⇔⨋))","expression":"(⫡⇟⇯(⪩⨒∯1133013+⪬∐⪩⨒∯1030030≬⋮⪩⨒∯131030⨚⪩⨒∯1020310))⨔≚≋(⪩⨒∯110111⨔≚≋⪩⨒∯1003110⋥≓≎(⊗⪩⨒∯231332)∽((⪩⨒∯33331≠≀⪩⨒∯1033200)⇔⨋))","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":205,"operation_count":11,"complexity_ratio":18.636363636363637,"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":6087,"base":4},"right_expr":{"type":"numeric_atoms","value":4876,"base":4}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1868,"base":4},"right_expr":{"type":"numeric_atoms","value":4660,"base":4}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1301,"base":4},"right_expr":{"type":"numeric_atoms","value":4308,"base":4}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2942,"base":4}}},"right_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1021,"base":4},"right_expr":{"type":"numeric_atoms","value":5088,"base":4}}}}},"used_operators":["Z57zeUYC9z","qWUSsah53b","kbkesczE7y","2GS7woTJqF","nREPSIbpBE","y4ImoPnbV5","Qy55tPpLXF","RhiyfpczSx","uBihLCJcMX","IwW236VD4Y"],"dependent_operators":["zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DZ8iAZOCBD","P8v4zCKN1o","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"⪩⨒∯2122100","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6087","layer":4},{"info":"number node, value=4876","layer":4},{"info":"compute binary expreesion, left_input=6087, right_input=4876, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-18261","layer":3},{"info":"number node, value=1868","layer":4},{"info":"number node, value=4660","layer":4},{"info":"compute binary expreesion, left_input=1868, right_input=4660, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-13970","layer":3},{"info":"compute binary expreesion, left_input=-18261, right_input=-13970, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=2604","layer":1},{"info":"number node, value=1301","layer":4},{"info":"number node, value=4308","layer":4},{"info":"compute binary expreesion, left_input=1301, right_input=4308, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2942","layer":4},{"info":"compute unary expreesion, input=2942, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-5884","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-5884, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-21607","layer":2},{"info":"number node, value=1021","layer":4},{"info":"number node, value=5088","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=5088, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1736","layer":3},{"info":"compute unary expreesion, input=-1736, 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=-21607, right_input=287, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=107352","layer":1},{"info":"compute binary expreesion, left_input=2604, right_input=107352, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":0}],"base":4,"result_base":4,"text":"(⫡⇟⇯(⪩⨒∯1133013+⪬∐⪩⨒∯1030030≬⋮⪩⨒∯131030⨚⪩⨒∯1020310))⨔≚≋(⪩⨒∯110111⨔≚≋⪩⨒∯1003110⋥≓≎(⊗⪩⨒∯231332)∽((⪩⨒∯33331≠≀⪩⨒∯1033200)⇔⨋))=⪩⨒∯2122100","reverse_text":"⪩⨒∯2122100=(⫡⇟⇯(⪩⨒∯1133013+⪬∐⪩⨒∯1030030≬⋮⪩⨒∯131030⨚⪩⨒∯1020310))⨔≚≋(⪩⨒∯110111⨔≚≋⪩⨒∯1003110⋥≓≎(⊗⪩⨒∯231332)∽((⪩⨒∯33331≠≀⪩⨒∯1033200)⇔⨋))","cot":[{"info":"⪩⨒∯1133013+⪬∐⪩⨒∯1030030=⪩⨒∯-10131111","layer":3},{"info":"⪩⨒∯131030⨚⪩⨒∯1020310=⪩⨒∯-3122102","layer":3},{"info":"⪩⨒∯-10131111≬⋮⪩⨒∯-3122102=⪩⨒∯31210","layer":2},{"info":"⫡⇟⇯⪩⨒∯31210=⪩⨒∯220230","layer":1},{"info":"⪩⨒∯110111⨔≚≋⪩⨒∯1003110=⪩⨒∯2122100","layer":3},{"info":"⊗⪩⨒∯231332=⪩⨒∯-1123330","layer":3},{"info":"⪩⨒∯2122100⋥≓≎⪩⨒∯-1123330=⪩⨒∯-11101213","layer":2},{"info":"⪩⨒∯33331≠≀⪩⨒∯1033200=⪩⨒∯-123020","layer":3},{"info":"⪩⨒∯-123020⇔⨋=⪩⨒∯10133","layer":2},{"info":"⪩⨒∯-11101213∽⪩⨒∯10133=⪩⨒∯122031120","layer":1},{"info":"⪩⨒∯220230⨔≚≋⪩⨒∯122031120=⪩⨒∯2122100","layer":0}]}
{"id":408,"expression_no_base_symbol":"(($1702$⋅⇍$3640$)⫿)⇻⋧≁($2043$⨜⨶$4164$)↞⋁($3408$⇄$1690$)⫔⩽⩺((⩷⨜⫀$2417$)⩁⩘($1035$≨$3158$))⨐(($1411$⊟⇱)↸$1161$⨳⩥⨓$1494$)","expression":"((⪩⨒∯122212⋅⇍⪩⨒∯320320)⫿)⇻⋧≁(⪩⨒∯133323⨜⨶⪩⨒∯1001010)↞⋁(⪩⨒∯311100⇄⪩⨒∯122122)⫔⩽⩺((⩷⨜⫀⪩⨒∯211301)⩁⩘(⪩⨒∯100023≨⪩⨒∯301112))⨐((⪩⨒∯112003⊟⇱)↸⪩⨒∯102021⨳⩥⨓⪩⨒∯113112)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":767,"operation_count":14,"complexity_ratio":54.785714285714285,"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":4},"right_expr":{"type":"numeric_atoms","value":3640,"base":4}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":2043,"base":4},"right_expr":{"type":"numeric_atoms","value":4164,"base":4}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3408,"base":4},"right_expr":{"type":"numeric_atoms","value":1690,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":2417,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1035,"base":4},"right_expr":{"type":"numeric_atoms","value":3158,"base":4}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⊟⇱","unary_expr":{"type":"numeric_atoms","value":1411,"base":4}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1161,"base":4},"right_expr":{"type":"numeric_atoms","value":1494,"base":4}}}}},"used_operators":["i9eR4S00cU","jCPkEVoL5K","9tKT6PmtkH","AdZkA7nFnk","RqrPlJkxDo","HiPekx5b7W","3EYGwJThht","Noe24qw2ks","gub5Cegaqo","CDi0ktkjQ4","0KMCeP1Jsh","1eCjFl0mb9","03sUfWo75k","nCS4ZIUYfx"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","ruOEQAzv1W","nhYeJWJD5X","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1702","layer":4},{"info":"number node, value=3640","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=3640, 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 = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=44","layer":2},{"info":"number node, value=2043","layer":4},{"info":"number node, value=4164","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=4164, 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=-8072","layer":3},{"info":"number node, value=3408","layer":4},{"info":"number node, value=1690","layer":4},{"info":"compute binary expreesion, left_input=3408, right_input=1690, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8072, right_input=0, 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=44, 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=2417","layer":4},{"info":"compute unary expreesion, input=2417, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-2144","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=3158","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=3158, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-7874","layer":3},{"info":"compute binary expreesion, left_input=-2144, right_input=-7874, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-30548","layer":2},{"info":"number node, value=1411","layer":4},{"info":"compute unary expreesion, input=1411, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=3138","layer":3},{"info":"number node, value=1161","layer":4},{"info":"number node, value=1494","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=1494, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=333","layer":3},{"info":"compute binary expreesion, left_input=3138, right_input=333, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3138","layer":2},{"info":"compute binary expreesion, left_input=-30548, right_input=3138, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=61096","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=61096, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯122212⋅⇍⪩⨒∯320320)⫿)⇻⋧≁(⪩⨒∯133323⨜⨶⪩⨒∯1001010)↞⋁(⪩⨒∯311100⇄⪩⨒∯122122)⫔⩽⩺((⩷⨜⫀⪩⨒∯211301)⩁⩘(⪩⨒∯100023≨⪩⨒∯301112))⨐((⪩⨒∯112003⊟⇱)↸⪩⨒∯102021⨳⩥⨓⪩⨒∯113112)=NaN","reverse_text":"NaN=((⪩⨒∯122212⋅⇍⪩⨒∯320320)⫿)⇻⋧≁(⪩⨒∯133323⨜⨶⪩⨒∯1001010)↞⋁(⪩⨒∯311100⇄⪩⨒∯122122)⫔⩽⩺((⩷⨜⫀⪩⨒∯211301)⩁⩘(⪩⨒∯100023≨⪩⨒∯301112))⨐((⪩⨒∯112003⊟⇱)↸⪩⨒∯102021⨳⩥⨓⪩⨒∯113112)","cot":[{"info":"⪩⨒∯122212⋅⇍⪩⨒∯320320=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯-112⫿=⪩⨒∯230","layer":2},{"info":"⪩⨒∯133323⨜⨶⪩⨒∯1001010=⪩⨒∯-1332020","layer":3},{"info":"⪩⨒∯311100⇄⪩⨒∯122122=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1332020↞⋁⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯230⇻⋧≁NaN=⪩⨒∯-12333","layer":1},{"info":"⩷⨜⫀⪩⨒∯211301=⪩⨒∯-201200","layer":3},{"info":"⪩⨒∯100023≨⪩⨒∯301112=⪩⨒∯-1323002","layer":3},{"info":"⪩⨒∯-201200⩁⩘⪩⨒∯-1323002=⪩⨒∯-13131110","layer":2},{"info":"⪩⨒∯112003⊟⇱=⪩⨒∯301002","layer":3},{"info":"⪩⨒∯102021⨳⩥⨓⪩⨒∯113112=⪩⨒∯11031","layer":3},{"info":"⪩⨒∯301002↸⪩⨒∯11031=⪩⨒∯301002","layer":2},{"info":"⪩⨒∯-13131110⨐⪩⨒∯301002=⪩⨒∯32322220","layer":1},{"info":"⪩⨒∯-12333⫔⩽⩺⪩⨒∯32322220=NaN","layer":0}]}
{"id":409,"expression_no_base_symbol":"($2408$⫁$7440$)⫁($4453$→⨶⪴$1856$)⩌⋺(⋃$3814$⪝$3405$)⪡((∂⩏⊆$2373$⋹⋡⊁$4072$)⋻⩜⩜(⩦⊞$1239$→⨶⪴$2629$))","expression":"(⪩⨒∯211220⫁⪩⨒∯1310100)⫁(⪩⨒∯1011211→⨶⪴⪩⨒∯131000)⩌⋺(⋃⪩⨒∯323212⪝⪩⨒∯311031)⪡((∂⩏⊆⪩⨒∯211011⋹⋡⊁⪩⨒∯333220)⋻⩜⩜(⩦⊞⪩⨒∯103113→⨶⪴⪩⨒∯221011))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":301508,"operation_count":12,"complexity_ratio":25125.666666666668,"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":2408,"base":4},"right_expr":{"type":"numeric_atoms","value":7440,"base":4}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4453,"base":4},"right_expr":{"type":"numeric_atoms","value":1856,"base":4}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3814,"base":4},"right_expr":{"type":"numeric_atoms","value":3405,"base":4}}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2373,"base":4},"right_expr":{"type":"numeric_atoms","value":4072,"base":4}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1239,"base":4},"right_expr":{"type":"numeric_atoms","value":2629,"base":4}}}}},"used_operators":["oraRL2iQuh","g7Hmc5v1ko","0ajvFaJAv0","bF6eod5Gvf","3mBM5G4a3l","wicAB68Tmb","oDCm7WA9JY","8WDwsbhb0R","As8RqfVLgs","u7fv1HBiaC"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","8w2t5hMYqp","9FxExcQeMw","g55IO6H4Gj","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","14qkJME0vr","eLAdDNolq6","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2408","layer":4},{"info":"number node, value=7440","layer":4},{"info":"compute binary expreesion, left_input=2408, right_input=7440, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=4453","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=4453, right_input=1856, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-5568","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-5568, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=3814","layer":4},{"info":"number node, value=3405","layer":4},{"info":"compute binary expreesion, left_input=3814, right_input=3405, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-2035","layer":3},{"info":"compute unary expreesion, input=-2035, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-3968","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-3968, 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=3687","layer":1},{"info":"number node, value=2373","layer":4},{"info":"number node, value=4072","layer":4},{"info":"compute binary expreesion, left_input=2373, right_input=4072, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4822","layer":3},{"info":"compute unary expreesion, input=4822, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-14545","layer":2},{"info":"number node, value=1239","layer":4},{"info":"number node, value=2629","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=2629, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7887","layer":3},{"info":"compute unary expreesion, input=-7887, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-15830","layer":2},{"info":"compute binary expreesion, left_input=-14545, right_input=-15830, 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":1},{"info":"compute binary expreesion, left_input=3687, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯211220⫁⪩⨒∯1310100)⫁(⪩⨒∯1011211→⨶⪴⪩⨒∯131000)⩌⋺(⋃⪩⨒∯323212⪝⪩⨒∯311031)⪡((∂⩏⊆⪩⨒∯211011⋹⋡⊁⪩⨒∯333220)⋻⩜⩜(⩦⊞⪩⨒∯103113→⨶⪴⪩⨒∯221011))=NaN","reverse_text":"NaN=(⪩⨒∯211220⫁⪩⨒∯1310100)⫁(⪩⨒∯1011211→⨶⪴⪩⨒∯131000)⩌⋺(⋃⪩⨒∯323212⪝⪩⨒∯311031)⪡((∂⩏⊆⪩⨒∯211011⋹⋡⊁⪩⨒∯333220)⋻⩜⩜(⩦⊞⪩⨒∯103113→⨶⪴⪩⨒∯221011))","cot":[{"info":"⪩⨒∯211220⫁⪩⨒∯1310100=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1011211→⨶⪴⪩⨒∯131000=⪩⨒∯-1113000","layer":3},{"info":"⪩⨒∯2200⫁⪩⨒∯-1113000=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯323212⪝⪩⨒∯311031=⪩⨒∯-133303","layer":3},{"info":"⋃⪩⨒∯-133303=⪩⨒∯-332000","layer":2},{"info":"⪩⨒∯2200⩌⋺⪩⨒∯-332000=⪩⨒∯321213","layer":1},{"info":"⪩⨒∯211011⋹⋡⊁⪩⨒∯333220=⪩⨒∯1023112","layer":3},{"info":"∂⩏⊆⪩⨒∯1023112=⪩⨒∯-3203101","layer":2},{"info":"⪩⨒∯103113→⨶⪴⪩⨒∯221011=⪩⨒∯-1323033","layer":3},{"info":"⩦⊞⪩⨒∯-1323033=⪩⨒∯-3313112","layer":2},{"info":"⪩⨒∯-3203101⋻⩜⩜⪩⨒∯-3313112=NaN","layer":1},{"info":"⪩⨒∯321213⪡NaN=NaN","layer":0}]}
{"id":410,"expression_no_base_symbol":"((⨣⨃⇪($4461$⊉↱≁$9093$))%($3997$⊹∫⫚$3481$)⪃⊛⇣($4720$⪮%⊝$1722$))≄⊠(($1788$⊲⩕⊾$1192$≚⋢)⪉⨛($8946$⨱∎)⪡($2038$⋅⇍$6176$))","expression":"((⨣⨃⇪(⪩⨒∯1011231⊉↱≁⪩⨒∯2032011))%(⪩⨒∯332131⊹∫⫚⪩⨒∯312121)⪃⊛⇣(⪩⨒∯1021300⪮%⊝⪩⨒∯122322))≄⊠((⪩⨒∯123330⊲⩕⊾⪩⨒∯102220≚⋢)⪉⨛(⪩⨒∯2023302⨱∎)⪡(⪩⨒∯133312⋅⇍⪩⨒∯1200200))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":111094,"operation_count":13,"complexity_ratio":8545.692307692309,"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":4461,"base":4},"right_expr":{"type":"numeric_atoms","value":9093,"base":4}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":3997,"base":4},"right_expr":{"type":"numeric_atoms","value":3481,"base":4}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4720,"base":4},"right_expr":{"type":"numeric_atoms","value":1722,"base":4}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1788,"base":4},"right_expr":{"type":"numeric_atoms","value":1192,"base":4}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":8946,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2038,"base":4},"right_expr":{"type":"numeric_atoms","value":6176,"base":4}}}}},"used_operators":["vXNesLlMH1","k8jYdgA6NY","AcOhelriW5","w2P8NbNXyL","rrgAzCduG9","uWAJUKEvyW","IWmyXbctLI","EWw2JM7wp4","MahUMFw56D","DmTXOeWf9t","oraRL2iQuh","MmTdOpaElr","AdZkA7nFnk"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","rysDP5nf3Z","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","3ViojmjbAp","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","tifHPKVTfV","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"⪩⨒∯113213330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4461","layer":4},{"info":"number node, value=9093","layer":4},{"info":"compute binary expreesion, left_input=4461, right_input=9093, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-11062","layer":3},{"info":"compute unary expreesion, input=-11062, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=3997","layer":4},{"info":"number node, value=3481","layer":4},{"info":"compute binary expreesion, left_input=3997, right_input=3481, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-332","layer":3},{"info":"number node, value=4720","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=4720, right_input=1722, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9756","layer":3},{"info":"compute binary expreesion, left_input=-332, right_input=9756, 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=1405, right_input=1234, op_id = k8jYdgA6NY binary_op_definition= 'None', output=171","layer":1},{"info":"number node, value=1788","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1788, right_input=1192, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-37158","layer":3},{"info":"compute unary expreesion, input=-37158, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"number node, value=8946","layer":4},{"info":"compute unary expreesion, input=8946, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"number node, value=2038","layer":4},{"info":"number node, value=6176","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=6176, 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=0, right_input=-22, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":2},{"info":"compute binary expreesion, left_input=-89, right_input=-1936, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5756","layer":1},{"info":"compute binary expreesion, left_input=171, right_input=5756, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=96764","layer":0}],"base":4,"result_base":4,"text":"((⨣⨃⇪(⪩⨒∯1011231⊉↱≁⪩⨒∯2032011))%(⪩⨒∯332131⊹∫⫚⪩⨒∯312121)⪃⊛⇣(⪩⨒∯1021300⪮%⊝⪩⨒∯122322))≄⊠((⪩⨒∯123330⊲⩕⊾⪩⨒∯102220≚⋢)⪉⨛(⪩⨒∯2023302⨱∎)⪡(⪩⨒∯133312⋅⇍⪩⨒∯1200200))=⪩⨒∯113213330","reverse_text":"⪩⨒∯113213330=((⨣⨃⇪(⪩⨒∯1011231⊉↱≁⪩⨒∯2032011))%(⪩⨒∯332131⊹∫⫚⪩⨒∯312121)⪃⊛⇣(⪩⨒∯1021300⪮%⊝⪩⨒∯122322))≄⊠((⪩⨒∯123330⊲⩕⊾⪩⨒∯102220≚⋢)⪉⨛(⪩⨒∯2023302⨱∎)⪡(⪩⨒∯133312⋅⇍⪩⨒∯1200200))","cot":[{"info":"⪩⨒∯1011231⊉↱≁⪩⨒∯2032011=⪩⨒∯-2230312","layer":3},{"info":"⨣⨃⇪⪩⨒∯-2230312=⪩⨒∯111331","layer":2},{"info":"⪩⨒∯332131⊹∫⫚⪩⨒∯312121=⪩⨒∯-11030","layer":3},{"info":"⪩⨒∯1021300⪮%⊝⪩⨒∯122322=⪩⨒∯2120130","layer":3},{"info":"⪩⨒∯-11030⪃⊛⇣⪩⨒∯2120130=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯111331%⪩⨒∯103102=⪩⨒∯2223","layer":1},{"info":"⪩⨒∯123330⊲⩕⊾⪩⨒∯102220=⪩⨒∯-21010212","layer":3},{"info":"⪩⨒∯-21010212≚⋢=⪩⨒∯-1121","layer":2},{"info":"⪩⨒∯2023302⨱∎=⪩⨒∯0","layer":3},{"info":"⪩⨒∯133312⋅⇍⪩⨒∯1200200=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯0⪡⪩⨒∯-112=⪩⨒∯-132100","layer":2},{"info":"⪩⨒∯-1121⪉⨛⪩⨒∯-132100=⪩⨒∯1121330","layer":1},{"info":"⪩⨒∯2223≄⊠⪩⨒∯1121330=⪩⨒∯113213330","layer":0}]}
{"id":411,"expression_no_base_symbol":"≦∁(∐⩳⋚(⋼∭⪍(⩦⊞$1762$)))","expression":"≦∁(∐⩳⋚(⋼∭⪍(⩦⊞⪩⨒∯123202)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":8847,"operation_count":4,"complexity_ratio":2211.75,"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":1762,"base":4}}}}},"used_operators":["9ICcGScMcE","SL6IHkK8vl","DbCuESL50I","u7fv1HBiaC"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1762","layer":4},{"info":"compute unary expreesion, input=1762, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1489","layer":3},{"info":"compute unary expreesion, input=-1489, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-8832","layer":2},{"info":"compute unary expreesion, input=-8832, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-2597218","layer":1},{"info":"compute unary expreesion, input=-2597218, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":0}],"base":4,"result_base":4,"text":"≦∁(∐⩳⋚(⋼∭⪍(⩦⊞⪩⨒∯123202)))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=≦∁(∐⩳⋚(⋼∭⪍(⩦⊞⪩⨒∯123202)))","cot":[{"info":"⩦⊞⪩⨒∯123202=⪩⨒∯-113101","layer":3},{"info":"⋼∭⪍⪩⨒∯-113101=⪩⨒∯-2022000","layer":2},{"info":"∐⩳⋚⪩⨒∯-2022000=⪩⨒∯-21322011202","layer":1},{"info":"≦∁⪩⨒∯-21322011202=⪩⨒∯1003","layer":0}]}
{"id":412,"expression_no_base_symbol":"((↡$1517$)⨚⇆(⇵⪽$2801$)⩚⊴⇥(($5292$⇞)≃(⫟$5036$)))↳∿⪆($2457$⨽∌$1461$∪⫐$2467$⪨⊡$1171$)⨔⇊(($2386$⪑⩈)⋭≵(↥≼⋛$4390$))","expression":"((↡⪩⨒∯113231)⨚⇆(⇵⪽⪩⨒∯223301)⩚⊴⇥((⪩⨒∯1102230⇞)≃(⫟⪩⨒∯1032230)))↳∿⪆(⪩⨒∯212121⨽∌⪩⨒∯112311∪⫐⪩⨒∯212203⪨⊡⪩⨒∯102103)⨔⇊((⪩⨒∯211102⪑⩈)⋭≵(↥≼⋛⪩⨒∯1010212))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2818,"operation_count":15,"complexity_ratio":187.86666666666667,"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":1517,"base":4}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2801,"base":4}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":5292,"base":4}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":5036,"base":4}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":2457,"base":4},"right_expr":{"type":"numeric_atoms","value":1461,"base":4}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":2467,"base":4},"right_expr":{"type":"numeric_atoms","value":1171,"base":4}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":2386,"base":4}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":4390,"base":4}}}}},"used_operators":["Cw4SuJJGHO","NTOWxs364D","lwHaAYXP2r","MXaNJeIAZ3","ZGCBLdVRRX","YbVcJGFEVW","5JYyxRJd4f","z4E1FaHLuy","JclMnS0uGI","7YooWSwCyH","9samAPKr6k","kuIXHzHcAH","jBncVCNhdl","C6VvDP6HwP","x5lMkHmzsq"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","U7g4x0WXJJ","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1517","layer":4},{"info":"compute unary expreesion, input=1517, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=13653","layer":3},{"info":"number node, value=2801","layer":4},{"info":"compute unary expreesion, input=2801, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13653, 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":"number node, value=5292","layer":4},{"info":"compute unary expreesion, input=5292, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=21081","layer":3},{"info":"number node, value=5036","layer":4},{"info":"compute unary expreesion, input=5036, 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=-14201","layer":3},{"info":"compute binary expreesion, left_input=21081, right_input=-14201, 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=56764","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=56764, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=inf","layer":1},{"info":"number node, value=2457","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=2457, right_input=1461, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=2467","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=1171, 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=0, right_input=0, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=0","layer":2},{"info":"number node, value=2386","layer":4},{"info":"compute unary expreesion, input=2386, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=18292","layer":3},{"info":"number node, value=4390","layer":4},{"info":"compute unary expreesion, input=4390, 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=18292, right_input=-113, 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=0, right_input=67, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=67, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((↡⪩⨒∯113231)⨚⇆(⇵⪽⪩⨒∯223301)⩚⊴⇥((⪩⨒∯1102230⇞)≃(⫟⪩⨒∯1032230)))↳∿⪆(⪩⨒∯212121⨽∌⪩⨒∯112311∪⫐⪩⨒∯212203⪨⊡⪩⨒∯102103)⨔⇊((⪩⨒∯211102⪑⩈)⋭≵(↥≼⋛⪩⨒∯1010212))=NaN","reverse_text":"NaN=((↡⪩⨒∯113231)⨚⇆(⇵⪽⪩⨒∯223301)⩚⊴⇥((⪩⨒∯1102230⇞)≃(⫟⪩⨒∯1032230)))↳∿⪆(⪩⨒∯212121⨽∌⪩⨒∯112311∪⫐⪩⨒∯212203⪨⊡⪩⨒∯102103)⨔⇊((⪩⨒∯211102⪑⩈)⋭≵(↥≼⋛⪩⨒∯1010212))","cot":[{"info":"↡⪩⨒∯113231=⪩⨒∯3111111","layer":3},{"info":"⇵⪽⪩⨒∯223301=NaN","layer":3},{"info":"⪩⨒∯3111111⨚⇆NaN=-Inf","layer":2},{"info":"⪩⨒∯1102230⇞=⪩⨒∯11021121","layer":3},{"info":"⫟⪩⨒∯1032230=⪩⨒∯-3131321","layer":3},{"info":"⪩⨒∯11021121≃⪩⨒∯-3131321=⪩⨒∯31312330","layer":2},{"info":"-Inf⩚⊴⇥⪩⨒∯31312330=Inf","layer":1},{"info":"⪩⨒∯212121⨽∌⪩⨒∯112311=⪩⨒∯0","layer":3},{"info":"⪩⨒∯212203⪨⊡⪩⨒∯102103=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0∪⫐⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯211102⪑⩈=⪩⨒∯10131310","layer":3},{"info":"↥≼⋛⪩⨒∯1010212=⪩⨒∯-1301","layer":3},{"info":"⪩⨒∯10131310⋭≵⪩⨒∯-1301=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯0⨔⇊⪩⨒∯1003=⪩⨒∯1003","layer":1},{"info":"Inf↳∿⪆⪩⨒∯1003=NaN","layer":0}]}
{"id":413,"expression_no_base_symbol":"(($2467$↳≱$2903$∵≐)⪨≂(⊙↵-$1013$∌$6764$))⨽∌((⪛⨧$3158$)⫰⋱$1964$≧⫂∧$7552$↱($7767$∌↝$6215$≬⋮$2907$⊴$1720$))","expression":"((⪩⨒∯212203↳≱⪩⨒∯231113∵≐)⪨≂(⊙↵-⪩⨒∯33311∌⪩⨒∯1221230))⨽∌((⪛⨧⪩⨒∯301112)⫰⋱⪩⨒∯132230≧⫂∧⪩⨒∯1312000↱(⪩⨒∯1321113∌↝⪩⨒∯1201013≬⋮⪩⨒∯231123⊴⪩⨒∯122320))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9745,"operation_count":13,"complexity_ratio":749.6153846153846,"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":2467,"base":4},"right_expr":{"type":"numeric_atoms","value":2903,"base":4}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1013,"base":4},"right_expr":{"type":"numeric_atoms","value":6764,"base":4}}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3158,"base":4}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1964,"base":4},"right_expr":{"type":"numeric_atoms","value":7552,"base":4}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":7767,"base":4},"right_expr":{"type":"numeric_atoms","value":6215,"base":4}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2907,"base":4},"right_expr":{"type":"numeric_atoms","value":1720,"base":4}}}}},"used_operators":["9samAPKr6k","sdazOOVcIp","59igzFyhWz","JwTKLfZU96","oWn0xqSxBt","8cLx32lpNA","SR5kFfdi6N","6o9Blt3TJ6","6NJAcO2OWT","Ph9nP6C5qx","kbkesczE7y","9Isq31Ruls","Nsiff2A1zJ"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2467","layer":4},{"info":"number node, value=2903","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=2903, 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 = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=-388","layer":2},{"info":"number node, value=1013","layer":4},{"info":"number node, value=6764","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=6764, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-6764","layer":3},{"info":"compute unary expreesion, input=-6764, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=-388, right_input=196, 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=-1066","layer":1},{"info":"number node, value=3158","layer":4},{"info":"compute unary expreesion, input=3158, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7717","layer":3},{"info":"number node, value=1964","layer":4},{"info":"number node, value=7552","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=7552, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=7079","layer":3},{"info":"compute binary expreesion, left_input=7717, right_input=7079, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-7684","layer":2},{"info":"number node, value=7767","layer":4},{"info":"number node, value=6215","layer":4},{"info":"compute binary expreesion, left_input=7767, right_input=6215, 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=2907","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=2907, right_input=1720, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, 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=-7684, 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=-1066, right_input=nan, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯212203↳≱⪩⨒∯231113∵≐)⪨≂(⊙↵-⪩⨒∯33311∌⪩⨒∯1221230))⨽∌((⪛⨧⪩⨒∯301112)⫰⋱⪩⨒∯132230≧⫂∧⪩⨒∯1312000↱(⪩⨒∯1321113∌↝⪩⨒∯1201013≬⋮⪩⨒∯231123⊴⪩⨒∯122320))=NaN","reverse_text":"NaN=((⪩⨒∯212203↳≱⪩⨒∯231113∵≐)⪨≂(⊙↵-⪩⨒∯33311∌⪩⨒∯1221230))⨽∌((⪛⨧⪩⨒∯301112)⫰⋱⪩⨒∯132230≧⫂∧⪩⨒∯1312000↱(⪩⨒∯1321113∌↝⪩⨒∯1201013≬⋮⪩⨒∯231123⊴⪩⨒∯122320))","cot":[{"info":"⪩⨒∯212203↳≱⪩⨒∯231113=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0∵≐=⪩⨒∯-12010","layer":2},{"info":"⪩⨒∯33311∌⪩⨒∯1221230=⪩⨒∯-1221230","layer":3},{"info":"⊙↵-⪩⨒∯-1221230=⪩⨒∯3010","layer":2},{"info":"⪩⨒∯-12010⪨≂⪩⨒∯3010=⪩⨒∯-100222","layer":1},{"info":"⪛⨧⪩⨒∯301112=⪩⨒∯1320211","layer":3},{"info":"⪩⨒∯132230≧⫂∧⪩⨒∯1312000=⪩⨒∯1232213","layer":3},{"info":"⪩⨒∯1320211⫰⋱⪩⨒∯1232213=⪩⨒∯-1320010","layer":2},{"info":"⪩⨒∯1321113∌↝⪩⨒∯1201013=⪩⨒∯0","layer":3},{"info":"⪩⨒∯231123⊴⪩⨒∯122320=NaN","layer":3},{"info":"⪩⨒∯0≬⋮NaN=NaN","layer":2},{"info":"⪩⨒∯-1320010↱NaN=NaN","layer":1},{"info":"⪩⨒∯-100222⨽∌NaN=NaN","layer":0}]}
{"id":414,"expression_no_base_symbol":"⇋↷(≪((⫡⇟⇯$1433$)⩁⩘(≑⋹$3799$)))","expression":"⇋↷(≪((⫡⇟⇯⪩⨒∯112121)⩁⩘(≑⋹⪩⨒∯323113)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":182,"operation_count":5,"complexity_ratio":36.4,"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":1433,"base":4}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":3799,"base":4}}}}},"used_operators":["SWo3A1KBJH","Qtd6bqUJcN","gub5Cegaqo","qWUSsah53b","6B9nyZLogK"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","DpFCA1CohY","IWmyXbctLI","DZ8iAZOCBD","P8v4zCKN1o","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C"],"result":"⪩⨒∯1302020","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1433","layer":4},{"info":"compute unary expreesion, input=1433, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=3734","layer":3},{"info":"number node, value=3799","layer":4},{"info":"compute unary expreesion, input=3799, 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=3734, right_input=1650, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=7548","layer":2},{"info":"compute unary expreesion, input=7548, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":1},{"info":"compute unary expreesion, input=913, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=7304","layer":0}],"base":4,"result_base":4,"text":"⇋↷(≪((⫡⇟⇯⪩⨒∯112121)⩁⩘(≑⋹⪩⨒∯323113)))=⪩⨒∯1302020","reverse_text":"⪩⨒∯1302020=⇋↷(≪((⫡⇟⇯⪩⨒∯112121)⩁⩘(≑⋹⪩⨒∯323113)))","cot":[{"info":"⫡⇟⇯⪩⨒∯112121=⪩⨒∯322112","layer":3},{"info":"≑⋹⪩⨒∯323113=⪩⨒∯121302","layer":3},{"info":"⪩⨒∯322112⩁⩘⪩⨒∯121302=⪩⨒∯1311330","layer":2},{"info":"≪⪩⨒∯1311330=⪩⨒∯32101","layer":1},{"info":"⇋↷⪩⨒∯32101=⪩⨒∯1302020","layer":0}]}
{"id":415,"expression_no_base_symbol":"⇜⊴(($6816$⊲⩕⊾$1155$)⩱)↺(⩪∧⨌$1162$)⩌⋺($5274$⋥≓≎$1121$)","expression":"⇜⊴((⪩⨒∯1222200⊲⩕⊾⪩⨒∯102003)⩱)↺(⩪∧⨌⪩⨒∯102022)⩌⋺(⪩⨒∯1102122⋥≓≎⪩⨒∯101201)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":146,"operation_count":7,"complexity_ratio":20.857142857142858,"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":6816,"base":4},"right_expr":{"type":"numeric_atoms","value":1155,"base":4}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1162,"base":4}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5274,"base":4},"right_expr":{"type":"numeric_atoms","value":1121,"base":4}}}}},"used_operators":["XwDhCwWbUn","7j4O788W3g","uyq1hVkAcj","DmTXOeWf9t","g7Hmc5v1ko","6iOiAJX1F8","Qy55tPpLXF"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯-1002233210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6816","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=6816, right_input=1155, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-117236","layer":3},{"info":"compute unary expreesion, input=-117236, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=703166","layer":2},{"info":"number node, value=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=11620","layer":3},{"info":"number node, value=5274","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=5274, right_input=1121, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2999","layer":3},{"info":"compute binary expreesion, left_input=11620, right_input=-2999, 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=-8742","layer":2},{"info":"compute binary expreesion, left_input=703166, right_input=-8742, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-8742","layer":1},{"info":"compute unary expreesion, input=-8742, 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=-273380","layer":0}],"base":4,"result_base":4,"text":"⇜⊴((⪩⨒∯1222200⊲⩕⊾⪩⨒∯102003)⩱)↺(⩪∧⨌⪩⨒∯102022)⩌⋺(⪩⨒∯1102122⋥≓≎⪩⨒∯101201)=⪩⨒∯-1002233210","reverse_text":"⪩⨒∯-1002233210=⇜⊴((⪩⨒∯1222200⊲⩕⊾⪩⨒∯102003)⩱)↺(⩪∧⨌⪩⨒∯102022)⩌⋺(⪩⨒∯1102122⋥≓≎⪩⨒∯101201)","cot":[{"info":"⪩⨒∯1222200⊲⩕⊾⪩⨒∯102003=⪩⨒∯-130213310","layer":3},{"info":"⪩⨒∯-130213310⩱=⪩⨒∯2223222332","layer":2},{"info":"⩪∧⨌⪩⨒∯102022=⪩⨒∯2311210","layer":3},{"info":"⪩⨒∯1102122⋥≓≎⪩⨒∯101201=⪩⨒∯-232313","layer":3},{"info":"⪩⨒∯2311210⩌⋺⪩⨒∯-232313=⪩⨒∯-2020212","layer":2},{"info":"⪩⨒∯2223222332↺⪩⨒∯-2020212=⪩⨒∯-2020212","layer":1},{"info":"⇜⊴⪩⨒∯-2020212=⪩⨒∯-1002233210","layer":0}]}
{"id":416,"expression_no_base_symbol":"((($2553$∇⊂⋱$2775$)⨸($4966$↠))⊀⩕)↼⊘⨖(((⇤←$4427$)⊍⩺⋍(⊗$8818$))⋓($3289$⨸⪁$3527$⊾⪯⋞($1532$⇼⇔∾$2647$)))","expression":"(((⪩⨒∯213321∇⊂⋱⪩⨒∯223113)⨸(⪩⨒∯1031212↠))⊀⩕)↼⊘⨖(((⇤←⪩⨒∯1011023)⊍⩺⋍(⊗⪩⨒∯2021302))⋓(⪩⨒∯303121⨸⪁⪩⨒∯313013⊾⪯⋞(⪩⨒∯113330⇼⇔∾⪩⨒∯221113)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6327,"operation_count":12,"complexity_ratio":527.25,"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":2553,"base":4},"right_expr":{"type":"numeric_atoms","value":2775,"base":4}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":4966,"base":4}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":4427,"base":4}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":8818,"base":4}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3289,"base":4},"right_expr":{"type":"numeric_atoms","value":3527,"base":4}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1532,"base":4},"right_expr":{"type":"numeric_atoms","value":2647,"base":4}}}}},"used_operators":["bPywburJMS","r0FS3hW4cC","KmoU8R5UQR","nhYeJWJD5X","LBdsKIvxzf","T2fj7uvVaJ","OXDGMFPWZM","jfAgQ2OQeM","RhiyfpczSx","HK0tfVPux8","g55IO6H4Gj","tifHPKVTfV"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rGHVDoGpnC","nhYeJWJD5X","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯-3132","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2553","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=2775, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4560","layer":3},{"info":"number node, value=4966","layer":4},{"info":"compute unary expreesion, input=4966, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=4560, right_input=-447, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=9120","layer":2},{"info":"compute unary expreesion, input=9120, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":1},{"info":"number node, value=4427","layer":4},{"info":"compute unary expreesion, input=4427, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-20769","layer":3},{"info":"number node, value=8818","layer":4},{"info":"compute unary expreesion, input=8818, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-17636","layer":3},{"info":"compute binary expreesion, left_input=-20769, right_input=-17636, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=3289","layer":4},{"info":"number node, value=3527","layer":4},{"info":"compute binary expreesion, left_input=3289, right_input=3527, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13632","layer":3},{"info":"number node, value=1532","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=2647, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1115","layer":3},{"info":"compute binary expreesion, left_input=13632, right_input=1115, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1804","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1804, 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=0, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯213321∇⊂⋱⪩⨒∯223113)⨸(⪩⨒∯1031212↠))⊀⩕)↼⊘⨖(((⇤←⪩⨒∯1011023)⊍⩺⋍(⊗⪩⨒∯2021302))⋓(⪩⨒∯303121⨸⪁⪩⨒∯313013⊾⪯⋞(⪩⨒∯113330⇼⇔∾⪩⨒∯221113)))=⪩⨒∯-3132","reverse_text":"⪩⨒∯-3132=(((⪩⨒∯213321∇⊂⋱⪩⨒∯223113)⨸(⪩⨒∯1031212↠))⊀⩕)↼⊘⨖(((⇤←⪩⨒∯1011023)⊍⩺⋍(⊗⪩⨒∯2021302))⋓(⪩⨒∯303121⨸⪁⪩⨒∯313013⊾⪯⋞(⪩⨒∯113330⇼⇔∾⪩⨒∯221113)))","cot":[{"info":"⪩⨒∯213321∇⊂⋱⪩⨒∯223113=⪩⨒∯1013100","layer":3},{"info":"⪩⨒∯1031212↠=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1013100⨸⪩⨒∯-12333=⪩⨒∯2032200","layer":2},{"info":"⪩⨒∯2032200⊀⩕=⪩⨒∯0","layer":1},{"info":"⇤←⪩⨒∯1011023=⪩⨒∯-11010201","layer":3},{"info":"⊗⪩⨒∯2021302=⪩⨒∯-10103210","layer":3},{"info":"⪩⨒∯-11010201⊍⩺⋍⪩⨒∯-10103210=NaN","layer":2},{"info":"⪩⨒∯303121⨸⪁⪩⨒∯313013=⪩⨒∯3111000","layer":3},{"info":"⪩⨒∯113330⇼⇔∾⪩⨒∯221113=⪩⨒∯101123","layer":3},{"info":"⪩⨒∯3111000⊾⪯⋞⪩⨒∯101123=⪩⨒∯130030","layer":2},{"info":"NaN⋓⪩⨒∯130030=⪩⨒∯0","layer":1},{"info":"⪩⨒∯0↼⊘⨖⪩⨒∯0=⪩⨒∯-3132","layer":0}]}
{"id":417,"expression_no_base_symbol":"(⨭⩧⫛(($1084$↱$7968$)∺≝⩲($1424$∌$1571$)))⫁(($2590$%$6187$)⋥⋵⩄($3865$⇍⊗$9033$)⊨($6651$⪚$1461$)⨐($5434$⊴$2786$))","expression":"(⨭⩧⫛((⪩⨒∯100330↱⪩⨒∯1330200)∺≝⩲(⪩⨒∯112100∌⪩⨒∯120203)))⫁((⪩⨒∯220132%⪩⨒∯1200223)⋥⋵⩄(⪩⨒∯330121⇍⊗⪩⨒∯2031021)⊨(⪩⨒∯1213323⪚⪩⨒∯112311)⨐(⪩⨒∯1110322⊴⪩⨒∯223202))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":29003,"operation_count":12,"complexity_ratio":2416.9166666666665,"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":1084,"base":4},"right_expr":{"type":"numeric_atoms","value":7968,"base":4}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1424,"base":4},"right_expr":{"type":"numeric_atoms","value":1571,"base":4}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2590,"base":4},"right_expr":{"type":"numeric_atoms","value":6187,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":3865,"base":4},"right_expr":{"type":"numeric_atoms","value":9033,"base":4}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":6651,"base":4},"right_expr":{"type":"numeric_atoms","value":1461,"base":4}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5434,"base":4},"right_expr":{"type":"numeric_atoms","value":2786,"base":4}}}}},"used_operators":["0ajvFaJAv0","g21JL6JxX7","KPf6cnQVty","SR5kFfdi6N","8cLx32lpNA","vg4gO5BX6G","7t3wd0Fuz7","k8jYdgA6NY","5uvYHDjeKN","Noe24qw2ks","HrjLwUk87U","Nsiff2A1zJ"],"dependent_operators":["cHh1gJQ2o6","AHs5Up7iyr","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","dWAJyo7jo9","14qkJME0vr"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1084","layer":4},{"info":"number node, value=7968","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=7968, 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=-23382","layer":3},{"info":"number node, value=1424","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=1424, right_input=1571, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1571","layer":3},{"info":"compute binary expreesion, left_input=-23382, right_input=-1571, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":1},{"info":"number node, value=2590","layer":4},{"info":"number node, value=6187","layer":4},{"info":"compute binary expreesion, left_input=2590, right_input=6187, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2590","layer":3},{"info":"number node, value=3865","layer":4},{"info":"number node, value=9033","layer":4},{"info":"compute binary expreesion, left_input=3865, right_input=9033, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=2590, right_input=-244, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"number node, value=6651","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=6651, right_input=1461, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=10024","layer":3},{"info":"number node, value=5434","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=5434, right_input=2786, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=10024, right_input=nan, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-20048","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-20048, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":0}],"base":4,"result_base":4,"text":"(⨭⩧⫛((⪩⨒∯100330↱⪩⨒∯1330200)∺≝⩲(⪩⨒∯112100∌⪩⨒∯120203)))⫁((⪩⨒∯220132%⪩⨒∯1200223)⋥⋵⩄(⪩⨒∯330121⇍⊗⪩⨒∯2031021)⊨(⪩⨒∯1213323⪚⪩⨒∯112311)⨐(⪩⨒∯1110322⊴⪩⨒∯223202))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(⨭⩧⫛((⪩⨒∯100330↱⪩⨒∯1330200)∺≝⩲(⪩⨒∯112100∌⪩⨒∯120203)))⫁((⪩⨒∯220132%⪩⨒∯1200223)⋥⋵⩄(⪩⨒∯330121⇍⊗⪩⨒∯2031021)⊨(⪩⨒∯1213323⪚⪩⨒∯112311)⨐(⪩⨒∯1110322⊴⪩⨒∯223202))","cot":[{"info":"⪩⨒∯100330↱⪩⨒∯1330200=⪩⨒∯-11231112","layer":3},{"info":"⪩⨒∯112100∌⪩⨒∯120203=⪩⨒∯-120203","layer":3},{"info":"⪩⨒∯-11231112∺≝⩲⪩⨒∯-120203=⪩⨒∯2200","layer":2},{"info":"⨭⩧⫛⪩⨒∯2200=NaN","layer":1},{"info":"⪩⨒∯220132%⪩⨒∯1200223=⪩⨒∯220132","layer":3},{"info":"⪩⨒∯330121⇍⊗⪩⨒∯2031021=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯220132⋥⋵⩄⪩⨒∯-3310=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯1213323⪚⪩⨒∯112311=⪩⨒∯2130220","layer":3},{"info":"⪩⨒∯1110322⊴⪩⨒∯223202=NaN","layer":3},{"info":"⪩⨒∯2130220⨐NaN=⪩⨒∯-10321100","layer":2},{"info":"⪩⨒∯1301⊨⪩⨒∯-10321100=⪩⨒∯-2232","layer":1},{"info":"NaN⫁⪩⨒∯-2232=⪩⨒∯2200","layer":0}]}
{"id":418,"expression_no_base_symbol":"((⋃$4071$)↬$2752$≚⊃≕$2528$∪⫐(($1161$/$2567$)⫿))∷","expression":"((⋃⪩⨒∯333213)↬⪩⨒∯223000≚⊃≕⪩⨒∯213200∪⫐((⪩⨒∯102021/⪩⨒∯220013)⫿))∷","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":65,"operation_count":7,"complexity_ratio":9.285714285714286,"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":4071,"base":4}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2752,"base":4},"right_expr":{"type":"numeric_atoms","value":2528,"base":4}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1161,"base":4},"right_expr":{"type":"numeric_atoms","value":2567,"base":4}}}}},"used_operators":["nFAOW8KTqp","7YooWSwCyH","B5M0gjZbta","3mBM5G4a3l","Bmrmz2XGnR","9tKT6PmtkH","XhwjNDsVaA"],"dependent_operators":["D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","rJVOvQCfKK","2DDjHMKMc0","rGHVDoGpnC","g55IO6H4Gj","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4071","layer":4},{"info":"compute unary expreesion, input=4071, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=8244","layer":3},{"info":"number node, value=2752","layer":4},{"info":"number node, value=2528","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=2528, 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=8244, right_input=67, 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":"number node, value=1161","layer":4},{"info":"number node, value=2567","layer":4},{"info":"compute binary expreesion, left_input=1161, right_input=2567, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=-320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-320, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⋃⪩⨒∯333213)↬⪩⨒∯223000≚⊃≕⪩⨒∯213200∪⫐((⪩⨒∯102021/⪩⨒∯220013)⫿))∷=NaN","reverse_text":"NaN=((⋃⪩⨒∯333213)↬⪩⨒∯223000≚⊃≕⪩⨒∯213200∪⫐((⪩⨒∯102021/⪩⨒∯220013)⫿))∷","cot":[{"info":"⋃⪩⨒∯333213=⪩⨒∯2000310","layer":3},{"info":"⪩⨒∯223000≚⊃≕⪩⨒∯213200=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯2000310↬⪩⨒∯1003=NaN","layer":2},{"info":"⪩⨒∯102021/⪩⨒∯220013=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⫿=⪩⨒∯-11000","layer":2},{"info":"NaN∪⫐⪩⨒∯-11000=NaN","layer":1},{"info":"NaN∷=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"((⨙⪌$6491$)⨉)⨒$1023$⫁$1539$∇⊂⋱($2149$⨫⇇↔$1034$)-($1437$∌$1911$)⇂≾⫗($2091$⩖⊿$1745$)⩚⊴⇥($2049$+⪬∐$1605$⪛⫼$1659$↤⩊$1788$)","expression":"((⨙⪌⪩⨒∯1211123)⨉)⨒⪩⨒∯33333⫁⪩⨒∯120003∇⊂⋱(⪩⨒∯201211⨫⇇↔⪩⨒∯100022)-(⪩⨒∯112131∌⪩⨒∯131313)⇂≾⫗(⪩⨒∯200223⩖⊿⪩⨒∯123101)⩚⊴⇥(⪩⨒∯200001+⪬∐⪩⨒∯121011⪛⫼⪩⨒∯121323↤⩊⪩⨒∯123330)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2391,"operation_count":14,"complexity_ratio":170.78571428571428,"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":6491,"base":4}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1023,"base":4},"right_expr":{"type":"numeric_atoms","value":1539,"base":4}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2149,"base":4},"right_expr":{"type":"numeric_atoms","value":1034,"base":4}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1437,"base":4},"right_expr":{"type":"numeric_atoms","value":1911,"base":4}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2091,"base":4},"right_expr":{"type":"numeric_atoms","value":1745,"base":4}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":2049,"base":4},"right_expr":{"type":"numeric_atoms","value":1605,"base":4}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":1659,"base":4},"right_expr":{"type":"numeric_atoms","value":1788,"base":4}}}}},"used_operators":["rysDP5nf3Z","y75s1iXyHd","aMUSaJuDRU","vEGLkm4Z2k","nhYeJWJD5X","0ajvFaJAv0","LXhwmt4mBO","NTOWxs364D","aBQ6xLxuTc","8cLx32lpNA","RZ5CV9rWsJ","hyuBjUqXlG","2GS7woTJqF","13rbtpv6ld"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","cHh1gJQ2o6","AHs5Up7iyr","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","g55IO6H4Gj","D4vGDi5EA2","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6491","layer":4},{"info":"compute unary expreesion, input=6491, 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 = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=4064","layer":2},{"info":"number node, value=1023","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=1539, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=2149","layer":4},{"info":"number node, value=1034","layer":4},{"info":"compute binary expreesion, left_input=2149, 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=160, right_input=-527, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-226","layer":2},{"info":"compute binary expreesion, left_input=4064, right_input=-226, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":1},{"info":"number node, value=1437","layer":4},{"info":"number node, value=1911","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=1911, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1911","layer":3},{"info":"number node, value=2091","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=2091, right_input=1745, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=5514","layer":3},{"info":"compute binary expreesion, left_input=-1911, right_input=5514, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-682","layer":2},{"info":"number node, value=2049","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=1605, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6147","layer":3},{"info":"number node, value=1659","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=1788, 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=-6147, 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=-682, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⨙⪌⪩⨒∯1211123)⨉)⨒⪩⨒∯33333⫁⪩⨒∯120003∇⊂⋱(⪩⨒∯201211⨫⇇↔⪩⨒∯100022)-(⪩⨒∯112131∌⪩⨒∯131313)⇂≾⫗(⪩⨒∯200223⩖⊿⪩⨒∯123101)⩚⊴⇥(⪩⨒∯200001+⪬∐⪩⨒∯121011⪛⫼⪩⨒∯121323↤⩊⪩⨒∯123330)=NaN","reverse_text":"NaN=((⨙⪌⪩⨒∯1211123)⨉)⨒⪩⨒∯33333⫁⪩⨒∯120003∇⊂⋱(⪩⨒∯201211⨫⇇↔⪩⨒∯100022)-(⪩⨒∯112131∌⪩⨒∯131313)⇂≾⫗(⪩⨒∯200223⩖⊿⪩⨒∯123101)⩚⊴⇥(⪩⨒∯200001+⪬∐⪩⨒∯121011⪛⫼⪩⨒∯121323↤⩊⪩⨒∯123330)","cot":[{"info":"⨙⪌⪩⨒∯1211123=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯31210⨉=⪩⨒∯333200","layer":2},{"info":"⪩⨒∯33333⫁⪩⨒∯120003=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯201211⨫⇇↔⪩⨒∯100022=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯2200∇⊂⋱⪩⨒∯-20033=⪩⨒∯-3202","layer":2},{"info":"⪩⨒∯333200⨒⪩⨒∯-3202=⪩⨒∯0","layer":1},{"info":"⪩⨒∯112131∌⪩⨒∯131313=⪩⨒∯-131313","layer":3},{"info":"⪩⨒∯200223⩖⊿⪩⨒∯123101=⪩⨒∯1112022","layer":3},{"info":"⪩⨒∯-131313⇂≾⫗⪩⨒∯1112022=⪩⨒∯-22222","layer":2},{"info":"⪩⨒∯200001+⪬∐⪩⨒∯121011=⪩⨒∯-1200003","layer":3},{"info":"⪩⨒∯121323↤⩊⪩⨒∯123330=NaN","layer":3},{"info":"⪩⨒∯-1200003⪛⫼NaN=NaN","layer":2},{"info":"⪩⨒∯-22222⩚⊴⇥NaN=NaN","layer":1},{"info":"⪩⨒∯0-NaN=NaN","layer":0}]}
{"id":420,"expression_no_base_symbol":"(((⪭⩑⪱$1315$)⪭≯(⨈⪑$2472$))↠)≨(∷≠($1882$∳⫺$1864$⨶))","expression":"(((⪭⩑⪱⪩⨒∯110203)⪭≯(⨈⪑⪩⨒∯212220))↠)≨(∷≠(⪩⨒∯131122∳⫺⪩⨒∯131020⨶))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":135617,"operation_count":8,"complexity_ratio":16952.125,"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":1315,"base":4}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":2472,"base":4}}}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1882,"base":4},"right_expr":{"type":"numeric_atoms","value":1864,"base":4}}}}},"used_operators":["0KMCeP1Jsh","LBdsKIvxzf","XAx5wpdLa6","SIgE0bArFf","mp94q5OcYM","QiR2Oyf5Xj","rFxw8gIMmB","AzXXKTstlj"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","7j4O788W3g","f6k1SAg4EE","Qy55tPpLXF","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⪩⨒∯120032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1315","layer":4},{"info":"compute unary expreesion, input=1315, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=2472","layer":4},{"info":"compute unary expreesion, input=2472, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=868, 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 = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":1},{"info":"number node, value=1882","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=1864, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-2266","layer":2},{"info":"compute unary expreesion, input=-2266, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-2266","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=-2266, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1550","layer":0}],"base":4,"result_base":4,"text":"(((⪭⩑⪱⪩⨒∯110203)⪭≯(⨈⪑⪩⨒∯212220))↠)≨(∷≠(⪩⨒∯131122∳⫺⪩⨒∯131020⨶))=⪩⨒∯120032","reverse_text":"⪩⨒∯120032=(((⪭⩑⪱⪩⨒∯110203)⪭≯(⨈⪑⪩⨒∯212220))↠)≨(∷≠(⪩⨒∯131122∳⫺⪩⨒∯131020⨶))","cot":[{"info":"⪭⩑⪱⪩⨒∯110203=⪩⨒∯133233123300","layer":3},{"info":"⨈⪑⪩⨒∯212220=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯133233123300⪭≯⪩⨒∯31210=NaN","layer":2},{"info":"NaN↠=⪩⨒∯-12333","layer":1},{"info":"⪩⨒∯131122∳⫺⪩⨒∯131020=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯-10010⨶=⪩⨒∯-203122","layer":2},{"info":"∷≠⪩⨒∯-203122=⪩⨒∯-203122","layer":1},{"info":"⪩⨒∯-12333≨⪩⨒∯-203122=⪩⨒∯120032","layer":0}]}
{"id":421,"expression_no_base_symbol":"(($2183$≃$4646$)≳⇉$1592$↓$5717$⊋≦⊧$2276$⫁$4649$≠≀($3195$⇉⇱⇎))⊫∞","expression":"((⪩⨒∯202013≃⪩⨒∯1020212)≳⇉⪩⨒∯120320↓⪩⨒∯1121111⊋≦⊧⪩⨒∯203210⫁⪩⨒∯1020221≠≀(⪩⨒∯301323⇉⇱⇎))⊫∞","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":413294,"operation_count":8,"complexity_ratio":51661.75,"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":2183,"base":4},"right_expr":{"type":"numeric_atoms","value":4646,"base":4}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1592,"base":4},"right_expr":{"type":"numeric_atoms","value":5717,"base":4}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2276,"base":4},"right_expr":{"type":"numeric_atoms","value":4649,"base":4}},"right_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":3195,"base":4}}}}},"used_operators":["pABnYW3G3E","oRDoc9rAEX","V0kx6qeWkN","YbVcJGFEVW","Af076pWI7l","IwW236VD4Y","0ajvFaJAv0","MRPaB8lBjK"],"dependent_operators":["fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","cHh1gJQ2o6","AHs5Up7iyr","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2183","layer":4},{"info":"number node, value=4646","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=4646, 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=-8772","layer":3},{"info":"number node, value=1592","layer":4},{"info":"number node, value=5717","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=5717, 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=-8772, 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":2},{"info":"number node, value=2276","layer":4},{"info":"number node, value=4649","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=4649, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3195","layer":4},{"info":"compute unary expreesion, input=3195, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-2977","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2977, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=2696","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2696, 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":"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":4,"result_base":4,"text":"((⪩⨒∯202013≃⪩⨒∯1020212)≳⇉⪩⨒∯120320↓⪩⨒∯1121111⊋≦⊧⪩⨒∯203210⫁⪩⨒∯1020221≠≀(⪩⨒∯301323⇉⇱⇎))⊫∞=NaN","reverse_text":"NaN=((⪩⨒∯202013≃⪩⨒∯1020212)≳⇉⪩⨒∯120320↓⪩⨒∯1121111⊋≦⊧⪩⨒∯203210⫁⪩⨒∯1020221≠≀(⪩⨒∯301323⇉⇱⇎))⊫∞","cot":[{"info":"⪩⨒∯202013≃⪩⨒∯1020212=⪩⨒∯-2021010","layer":3},{"info":"⪩⨒∯120320↓⪩⨒∯1121111=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯-2021010≳⇉⪩⨒∯-2012=NaN","layer":2},{"info":"⪩⨒∯203210⫁⪩⨒∯1020221=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯301323⇉⇱⇎=⪩⨒∯-232201","layer":3},{"info":"⪩⨒∯2200≠≀⪩⨒∯-232201=⪩⨒∯222020","layer":2},{"info":"NaN⊋≦⊧⪩⨒∯222020=NaN","layer":1},{"info":"NaN⊫∞=NaN","layer":0}]}
{"id":422,"expression_no_base_symbol":"⇠(⋂((⊥$3298$)⨳⩥⨓$3632$↓$1176$))","expression":"⇠(⋂((⊥⪩⨒∯303202)⨳⩥⨓⪩⨒∯320300↓⪩⨒∯102120))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16791,"operation_count":5,"complexity_ratio":3358.2,"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":3298,"base":4}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3632,"base":4},"right_expr":{"type":"numeric_atoms","value":1176,"base":4}}}}},"used_operators":["18saOjeKKm","BUOGQAYlQx","nCS4ZIUYfx","Q3PJZHRvZv","Af076pWI7l"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3298","layer":4},{"info":"compute unary expreesion, input=3298, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3632","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=3632, right_input=1176, 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 = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇠(⋂((⊥⪩⨒∯303202)⨳⩥⨓⪩⨒∯320300↓⪩⨒∯102120))=NaN","reverse_text":"NaN=⇠(⋂((⊥⪩⨒∯303202)⨳⩥⨓⪩⨒∯320300↓⪩⨒∯102120))","cot":[{"info":"⊥⪩⨒∯303202=NaN","layer":3},{"info":"⪩⨒∯320300↓⪩⨒∯102120=⪩⨒∯-2012","layer":3},{"info":"NaN⨳⩥⨓⪩⨒∯-2012=NaN","layer":2},{"info":"⋂NaN=NaN","layer":1},{"info":"⇠NaN=NaN","layer":0}]}
{"id":423,"expression_no_base_symbol":"((∂⩏⊆$2223$)∛($3690$⨫⇇↔$1017$)⪒(⊀$6667$)⪪(∤↝$4121$))≠≀(($4643$⫥∨⫟$7352$)∳⫺$2569$⨥⫆$6398$⫸⊐$5775$⪎↠$1741$∌↝$1203$⩦$7454$)","expression":"((∂⩏⊆⪩⨒∯202233)∛(⪩⨒∯321222⨫⇇↔⪩⨒∯33321)⪒(⊀⪩⨒∯1220023)⪪(∤↝⪩⨒∯1000121))≠≀((⪩⨒∯1020203⫥∨⫟⪩⨒∯1302320)∳⫺⪩⨒∯220021⨥⫆⪩⨒∯1203332⫸⊐⪩⨒∯1122033⪎↠⪩⨒∯123031∌↝⪩⨒∯102303⩦⪩⨒∯1310132)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":79721,"operation_count":15,"complexity_ratio":5314.733333333334,"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":2223,"base":4}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":3690,"base":4},"right_expr":{"type":"numeric_atoms","value":1017,"base":4}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":6667,"base":4}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":4121,"base":4}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4643,"base":4},"right_expr":{"type":"numeric_atoms","value":7352,"base":4}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2569,"base":4},"right_expr":{"type":"numeric_atoms","value":6398,"base":4}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5775,"base":4},"right_expr":{"type":"numeric_atoms","value":1741,"base":4}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1203,"base":4},"right_expr":{"type":"numeric_atoms","value":7454,"base":4}}}}},"used_operators":["IwW236VD4Y","f6k1SAg4EE","w2537kitQq","8WDwsbhb0R","LXhwmt4mBO","xD69zh8xqp","oPMjh9089D","3UMq87Qwqg","mqXw5SEYmG","AzXXKTstlj","KYD54nUTWz","yXekIHxTD4","9Isq31Ruls","3tVxb0NHM4","0kmYd0q39Y"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","14qkJME0vr","eLAdDNolq6","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","FU0Cs4j7VP","JclMnS0uGI","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","8HhzD0ZcuI","rGHVDoGpnC","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q"],"result":"⪩⨒∯-33030210321","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2223","layer":4},{"info":"compute unary expreesion, input=2223, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-6748","layer":3},{"info":"number node, value=3690","layer":4},{"info":"number node, value=1017","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=1017, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-6748, right_input=-527, 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=6667","layer":4},{"info":"compute unary expreesion, input=6667, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=26406","layer":3},{"info":"number node, value=4121","layer":4},{"info":"compute unary expreesion, input=4121, 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=4121","layer":3},{"info":"compute binary expreesion, left_input=26406, right_input=4121, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-3983395","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-3983395, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=3983328","layer":1},{"info":"number node, value=4643","layer":4},{"info":"number node, value=7352","layer":4},{"info":"compute binary expreesion, left_input=4643, right_input=7352, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2569","layer":4},{"info":"number node, value=6398","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=6398, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=12672","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12672, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=5775","layer":4},{"info":"number node, value=1741","layer":4},{"info":"compute binary expreesion, left_input=5775, right_input=1741, 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=1203","layer":4},{"info":"number node, value=7454","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=7454, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2406","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2406, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-7218","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=-7218, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=224","layer":1},{"info":"compute binary expreesion, left_input=3983328, right_input=224, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3983673","layer":0}],"base":4,"result_base":4,"text":"((∂⩏⊆⪩⨒∯202233)∛(⪩⨒∯321222⨫⇇↔⪩⨒∯33321)⪒(⊀⪩⨒∯1220023)⪪(∤↝⪩⨒∯1000121))≠≀((⪩⨒∯1020203⫥∨⫟⪩⨒∯1302320)∳⫺⪩⨒∯220021⨥⫆⪩⨒∯1203332⫸⊐⪩⨒∯1122033⪎↠⪩⨒∯123031∌↝⪩⨒∯102303⩦⪩⨒∯1310132)=⪩⨒∯-33030210321","reverse_text":"⪩⨒∯-33030210321=((∂⩏⊆⪩⨒∯202233)∛(⪩⨒∯321222⨫⇇↔⪩⨒∯33321)⪒(⊀⪩⨒∯1220023)⪪(∤↝⪩⨒∯1000121))≠≀((⪩⨒∯1020203⫥∨⫟⪩⨒∯1302320)∳⫺⪩⨒∯220021⨥⫆⪩⨒∯1203332⫸⊐⪩⨒∯1122033⪎↠⪩⨒∯123031∌↝⪩⨒∯102303⩦⪩⨒∯1310132)","cot":[{"info":"∂⩏⊆⪩⨒∯202233=⪩⨒∯-1221130","layer":3},{"info":"⪩⨒∯321222⨫⇇↔⪩⨒∯33321=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯-1221130∛⪩⨒∯-20033=⪩⨒∯1003","layer":2},{"info":"⊀⪩⨒∯1220023=⪩⨒∯12130212","layer":3},{"info":"∤↝⪩⨒∯1000121=⪩⨒∯1000121","layer":3},{"info":"⪩⨒∯12130212⪪⪩⨒∯1000121=⪩⨒∯-33030200203","layer":2},{"info":"⪩⨒∯1003⪒⪩⨒∯-33030200203=⪩⨒∯33030133200","layer":1},{"info":"⪩⨒∯1020203⫥∨⫟⪩⨒∯1302320=NaN","layer":3},{"info":"⪩⨒∯220021⨥⫆⪩⨒∯1203332=⪩⨒∯3012000","layer":3},{"info":"NaN∳⫺⪩⨒∯3012000=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯1122033⪎↠⪩⨒∯123031=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯102303⩦⪩⨒∯1310132=⪩⨒∯211212","layer":3},{"info":"⪩⨒∯2200∌↝⪩⨒∯211212=⪩⨒∯-1300302","layer":2},{"info":"⪩⨒∯-10010⫸⊐⪩⨒∯-1300302=⪩⨒∯3200","layer":1},{"info":"⪩⨒∯33030133200≠≀⪩⨒∯3200=⪩⨒∯-33030210321","layer":0}]}
{"id":424,"expression_no_base_symbol":"(⇋⊎⋝$1676$≎⪠$1474$)↤⩊(($1485$⊝⪿⪼$1571$)∀⇚≩(≦∁$1173$))⪘⫢(($7453$⋳⪒$7714$)≫≃)⨟⋌⩍($1680$∝$2938$⨸⪁$1678$⩼⇪↪$3397$)","expression":"(⇋⊎⋝⪩⨒∯122030≎⪠⪩⨒∯113002)↤⩊((⪩⨒∯113031⊝⪿⪼⪩⨒∯120203)∀⇚≩(≦∁⪩⨒∯102111))⪘⫢((⪩⨒∯1310131⋳⪒⪩⨒∯1320202)≫≃)⨟⋌⩍(⪩⨒∯122100∝⪩⨒∯231322⨸⪁⪩⨒∯122032⩼⇪↪⪩⨒∯311011)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":220958,"operation_count":13,"complexity_ratio":16996.76923076923,"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":1676,"base":4},"right_expr":{"type":"numeric_atoms","value":1474,"base":4}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1485,"base":4},"right_expr":{"type":"numeric_atoms","value":1571,"base":4}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1173,"base":4}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7453,"base":4},"right_expr":{"type":"numeric_atoms","value":7714,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1680,"base":4},"right_expr":{"type":"numeric_atoms","value":2938,"base":4}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1678,"base":4},"right_expr":{"type":"numeric_atoms","value":3397,"base":4}}}}},"used_operators":["oacrs7FA3X","13rbtpv6ld","CzM2PEoXns","aNhz54LH3e","LRNGc0VcxI","3Oe9XWJUTD","9ICcGScMcE","rGHVDoGpnC","X99M06cbEe","12rbrZMWeM","g55IO6H4Gj","cTDWOvIxvz","ocnLzx9CaJ"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","X99M06cbEe","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Tcnh7f0tEr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1676","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=1474, 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 = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1485","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=1485, right_input=1571, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=26007","layer":3},{"info":"number node, value=1173","layer":4},{"info":"compute unary expreesion, input=1173, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1173","layer":3},{"info":"compute binary expreesion, left_input=26007, right_input=1173, 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 = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=7453","layer":4},{"info":"number node, value=7714","layer":4},{"info":"compute binary expreesion, left_input=7453, right_input=7714, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6905","layer":3},{"info":"compute unary expreesion, input=6905, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=15211","layer":2},{"info":"number node, value=1680","layer":4},{"info":"number node, value=2938","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=2938, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1685","layer":3},{"info":"number node, value=1678","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=3397, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-21206","layer":3},{"info":"compute binary expreesion, left_input=1685, right_input=-21206, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-39042","layer":2},{"info":"compute binary expreesion, left_input=15211, right_input=-39042, 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 = 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":4,"result_base":4,"text":"(⇋⊎⋝⪩⨒∯122030≎⪠⪩⨒∯113002)↤⩊((⪩⨒∯113031⊝⪿⪼⪩⨒∯120203)∀⇚≩(≦∁⪩⨒∯102111))⪘⫢((⪩⨒∯1310131⋳⪒⪩⨒∯1320202)≫≃)⨟⋌⩍(⪩⨒∯122100∝⪩⨒∯231322⨸⪁⪩⨒∯122032⩼⇪↪⪩⨒∯311011)=NaN","reverse_text":"NaN=(⇋⊎⋝⪩⨒∯122030≎⪠⪩⨒∯113002)↤⩊((⪩⨒∯113031⊝⪿⪼⪩⨒∯120203)∀⇚≩(≦∁⪩⨒∯102111))⪘⫢((⪩⨒∯1310131⋳⪒⪩⨒∯1320202)≫≃)⨟⋌⩍(⪩⨒∯122100∝⪩⨒∯231322⨸⪁⪩⨒∯122032⩼⇪↪⪩⨒∯311011)","cot":[{"info":"⪩⨒∯122030≎⪠⪩⨒∯113002=⪩⨒∯10301212","layer":3},{"info":"⇋⊎⋝⪩⨒∯10301212=NaN","layer":2},{"info":"⪩⨒∯113031⊝⪿⪼⪩⨒∯120203=⪩⨒∯12112113","layer":3},{"info":"≦∁⪩⨒∯102111=⪩⨒∯102111","layer":3},{"info":"⪩⨒∯12112113∀⇚≩⪩⨒∯102111=NaN","layer":2},{"info":"NaN↤⩊NaN=NaN","layer":1},{"info":"⪩⨒∯1310131⋳⪒⪩⨒∯1320202=⪩⨒∯1223321","layer":3},{"info":"⪩⨒∯1223321≫≃=⪩⨒∯3231223","layer":2},{"info":"⪩⨒∯122100∝⪩⨒∯231322=⪩⨒∯122111","layer":3},{"info":"⪩⨒∯122032⩼⇪↪⪩⨒∯311011=⪩⨒∯-11023112","layer":3},{"info":"⪩⨒∯122111⨸⪁⪩⨒∯-11023112=⪩⨒∯-21202002","layer":2},{"info":"⪩⨒∯3231223⨟⋌⩍⪩⨒∯-21202002=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"((($1815$⊬⫿⊭)⩱)⋳⪒(⫶⊄≣($1046$⫸⇳$7297$)))⨟⋌⩍(⨰⫟⨤((⊊≼∋$1562$)∽($3193$⩟)))","expression":"(((⪩⨒∯130113⊬⫿⊭)⩱)⋳⪒(⫶⊄≣(⪩⨒∯100112⫸⇳⪩⨒∯1302001)))⨟⋌⩍(⨰⫟⨤((⊊≼∋⪩⨒∯120122)∽(⪩⨒∯301321⩟)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":340625,"operation_count":10,"complexity_ratio":34062.5,"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":1815,"base":4}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1046,"base":4},"right_expr":{"type":"numeric_atoms","value":7297,"base":4}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1562,"base":4}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"numeric_atoms","value":3193,"base":4}}}}},"used_operators":["rGHVDoGpnC","12rbrZMWeM","uyq1hVkAcj","v0DYgG9ikt","wxb3vTeyAj","gx7XJ7hdpj","Tw270M8GLb","y4ImoPnbV5","FWz7pXsQhA","fOIeswaMU4"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","NTOWxs364D","QMFrweE19q","B5M0gjZbta","jCPkEVoL5K","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1815","layer":4},{"info":"compute unary expreesion, input=1815, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-5445","layer":3},{"info":"compute unary expreesion, input=-5445, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=32420","layer":2},{"info":"number node, value=1046","layer":4},{"info":"number node, value=7297","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=7297, 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":"compute binary expreesion, left_input=32420, right_input=-1778, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=66331","layer":1},{"info":"number node, value=1562","layer":4},{"info":"compute unary expreesion, input=1562, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=3193","layer":4},{"info":"compute unary expreesion, input=3193, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-27510","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-27510, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=84943","layer":2},{"info":"compute unary expreesion, input=84943, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=66331, 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":4,"result_base":4,"text":"(((⪩⨒∯130113⊬⫿⊭)⩱)⋳⪒(⫶⊄≣(⪩⨒∯100112⫸⇳⪩⨒∯1302001)))⨟⋌⩍(⨰⫟⨤((⊊≼∋⪩⨒∯120122)∽(⪩⨒∯301321⩟)))=NaN","reverse_text":"NaN=(((⪩⨒∯130113⊬⫿⊭)⩱)⋳⪒(⫶⊄≣(⪩⨒∯100112⫸⇳⪩⨒∯1302001)))⨟⋌⩍(⨰⫟⨤((⊊≼∋⪩⨒∯120122)∽(⪩⨒∯301321⩟)))","cot":[{"info":"⪩⨒∯130113⊬⫿⊭=⪩⨒∯-1111011","layer":3},{"info":"⪩⨒∯-1111011⩱=⪩⨒∯13322210","layer":2},{"info":"⪩⨒∯100112⫸⇳⪩⨒∯1302001=⪩⨒∯0","layer":3},{"info":"⫶⊄≣⪩⨒∯0=⪩⨒∯-123302","layer":2},{"info":"⪩⨒∯13322210⋳⪒⪩⨒∯-123302=⪩⨒∯100030123","layer":1},{"info":"⊊≼∋⪩⨒∯120122=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯301321⩟=⪩⨒∯-12231312","layer":3},{"info":"⪩⨒∯-12333∽⪩⨒∯-12231312=⪩⨒∯110233033","layer":2},{"info":"⨰⫟⨤⪩⨒∯110233033=NaN","layer":1},{"info":"⪩⨒∯100030123⨟⋌⩍NaN=NaN","layer":0}]}
{"id":426,"expression_no_base_symbol":"⇾⩊⇾(↨($2775$↢$1824$⇼⇔∾(⨭⩧⫛$2189$)))","expression":"⇾⩊⇾(↨(⪩⨒∯223113↢⪩⨒∯130200⇼⇔∾(⨭⩧⫛⪩⨒∯202031)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":219,"operation_count":5,"complexity_ratio":43.8,"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":2775,"base":4},"right_expr":{"type":"numeric_atoms","value":1824,"base":4}},"right_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2189,"base":4}}}}},"used_operators":["bx9Z9DAK5y","jiX4gk2v2Q","tifHPKVTfV","WR6HLWljOP","g21JL6JxX7"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rGHVDoGpnC","oZj3VtZNQx","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=2775","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2775, right_input=1824, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2291","layer":3},{"info":"number node, value=2189","layer":4},{"info":"compute unary expreesion, input=2189, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2291, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(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 unary expreesion, input=nan, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇾⩊⇾(↨(⪩⨒∯223113↢⪩⨒∯130200⇼⇔∾(⨭⩧⫛⪩⨒∯202031)))=NaN","reverse_text":"NaN=⇾⩊⇾(↨(⪩⨒∯223113↢⪩⨒∯130200⇼⇔∾(⨭⩧⫛⪩⨒∯202031)))","cot":[{"info":"⪩⨒∯223113↢⪩⨒∯130200=⪩⨒∯203303","layer":3},{"info":"⨭⩧⫛⪩⨒∯202031=NaN","layer":3},{"info":"⪩⨒∯203303⇼⇔∾NaN=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"⇾⩊⇾NaN=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"⩷(⊄⩳↩($3304$⨓$1412$)∴($2689$∑⇟⊟$2334$))","expression":"⩷(⊄⩳↩(⪩⨒∯303220⨓⪩⨒∯112010)∴(⪩⨒∯222001∑⇟⊟⪩⨒∯210132))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1448,"operation_count":5,"complexity_ratio":289.6,"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":3304,"base":4},"right_expr":{"type":"numeric_atoms","value":1412,"base":4}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2689,"base":4},"right_expr":{"type":"numeric_atoms","value":2334,"base":4}}}}},"used_operators":["1h0rLqGiFr","8w2t5hMYqp","hrf7POJlIJ","3ViojmjbAp","U7g4x0WXJJ"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪩⨒∯-22122013","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3304","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=3304, right_input=1412, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1415","layer":3},{"info":"number node, value=2689","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=2689, right_input=2334, 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=-1415, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-1182","layer":2},{"info":"compute unary expreesion, input=-1182, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3546","layer":1},{"info":"compute unary expreesion, input=3546, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-42631","layer":0}],"base":4,"result_base":4,"text":"⩷(⊄⩳↩(⪩⨒∯303220⨓⪩⨒∯112010)∴(⪩⨒∯222001∑⇟⊟⪩⨒∯210132))=⪩⨒∯-22122013","reverse_text":"⪩⨒∯-22122013=⩷(⊄⩳↩(⪩⨒∯303220⨓⪩⨒∯112010)∴(⪩⨒∯222001∑⇟⊟⪩⨒∯210132))","cot":[{"info":"⪩⨒∯303220⨓⪩⨒∯112010=⪩⨒∯-112013","layer":3},{"info":"⪩⨒∯222001∑⇟⊟⪩⨒∯210132=NaN","layer":3},{"info":"⪩⨒∯-112013∴NaN=⪩⨒∯-102132","layer":2},{"info":"⊄⩳↩⪩⨒∯-102132=⪩⨒∯313122","layer":1},{"info":"⩷⪩⨒∯313122=⪩⨒∯-22122013","layer":0}]}
{"id":428,"expression_no_base_symbol":"(($6775$∀⇚≩$1248$)↤⩊($1923$⨸⪁$1211$)∠↢($1735$∠⫱$2411$)⩁⩘($1499$↼⊘⨖$4015$))∘((⋗⩬⋾$1262$)⨸(⊗$3120$)⩷∴(⊁⨺$5357$≁↽≥$6446$))","expression":"((⪩⨒∯1221313∀⇚≩⪩⨒∯103200)↤⩊(⪩⨒∯132003⨸⪁⪩⨒∯102323)∠↢(⪩⨒∯123013∠⫱⪩⨒∯211223)⩁⩘(⪩⨒∯113123↼⊘⨖⪩⨒∯332233))∘((⋗⩬⋾⪩⨒∯103232)⨸(⊗⪩⨒∯300300)⩷∴(⊁⨺⪩⨒∯1103231≁↽≥⪩⨒∯1210232))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":51618,"operation_count":14,"complexity_ratio":3687.0,"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":6775,"base":4},"right_expr":{"type":"numeric_atoms","value":1248,"base":4}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1923,"base":4},"right_expr":{"type":"numeric_atoms","value":1211,"base":4}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1735,"base":4},"right_expr":{"type":"numeric_atoms","value":2411,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1499,"base":4},"right_expr":{"type":"numeric_atoms","value":4015,"base":4}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1262,"base":4}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":3120,"base":4}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5357,"base":4},"right_expr":{"type":"numeric_atoms","value":6446,"base":4}}}}},"used_operators":["Z5m6OM72h2","KbjG8mgYpV","13rbtpv6ld","LRNGc0VcxI","g55IO6H4Gj","gub5Cegaqo","QvoQhV0rrE","bPywburJMS","9FxExcQeMw","KmoU8R5UQR","DpFCA1CohY","RhiyfpczSx","PxiHyQbrIp","ncHt1X6cMc"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","X99M06cbEe","W4YGzv6Whe","DpFCA1CohY","IWmyXbctLI","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6775","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=6775, right_input=1248, 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=1923","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1923, right_input=1211, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6268","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6268, 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=1735","layer":4},{"info":"number node, value=2411","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=2411, 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=1499","layer":4},{"info":"number node, value=4015","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=4015, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=7808","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=7808, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=32180","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=32180, 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":"number node, value=1262","layer":4},{"info":"compute unary expreesion, input=1262, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3786","layer":3},{"info":"number node, value=3120","layer":4},{"info":"compute unary expreesion, input=3120, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-6240","layer":3},{"info":"compute binary expreesion, left_input=-3786, right_input=-6240, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=-93878","layer":2},{"info":"number node, value=5357","layer":4},{"info":"number node, value=6446","layer":4},{"info":"compute binary expreesion, left_input=5357, right_input=6446, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=90287","layer":3},{"info":"compute unary expreesion, input=90287, 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":"compute binary expreesion, left_input=-93878, right_input=160, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-188108","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-188108, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1221313∀⇚≩⪩⨒∯103200)↤⩊(⪩⨒∯132003⨸⪁⪩⨒∯102323)∠↢(⪩⨒∯123013∠⫱⪩⨒∯211223)⩁⩘(⪩⨒∯113123↼⊘⨖⪩⨒∯332233))∘((⋗⩬⋾⪩⨒∯103232)⨸(⊗⪩⨒∯300300)⩷∴(⊁⨺⪩⨒∯1103231≁↽≥⪩⨒∯1210232))=NaN","reverse_text":"NaN=((⪩⨒∯1221313∀⇚≩⪩⨒∯103200)↤⩊(⪩⨒∯132003⨸⪁⪩⨒∯102323)∠↢(⪩⨒∯123013∠⫱⪩⨒∯211223)⩁⩘(⪩⨒∯113123↼⊘⨖⪩⨒∯332233))∘((⋗⩬⋾⪩⨒∯103232)⨸(⊗⪩⨒∯300300)⩷∴(⊁⨺⪩⨒∯1103231≁↽≥⪩⨒∯1210232))","cot":[{"info":"⪩⨒∯1221313∀⇚≩⪩⨒∯103200=NaN","layer":3},{"info":"⪩⨒∯132003⨸⪁⪩⨒∯102323=⪩⨒∯1201330","layer":3},{"info":"NaN↤⩊⪩⨒∯1201330=NaN","layer":2},{"info":"⪩⨒∯123013∠⫱⪩⨒∯211223=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯113123↼⊘⨖⪩⨒∯332233=⪩⨒∯1322000","layer":3},{"info":"⪩⨒∯103102⩁⩘⪩⨒∯1322000=⪩⨒∯13312310","layer":2},{"info":"NaN∠↢⪩⨒∯13312310=NaN","layer":1},{"info":"⋗⩬⋾⪩⨒∯103232=⪩⨒∯-323022","layer":3},{"info":"⊗⪩⨒∯300300=⪩⨒∯-1201200","layer":3},{"info":"⪩⨒∯-323022⨸⪩⨒∯-1201200=⪩⨒∯-112322312","layer":2},{"info":"⪩⨒∯1103231≁↽≥⪩⨒∯1210232=⪩⨒∯112002233","layer":3},{"info":"⊁⨺⪩⨒∯112002233=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯-112322312⩷∴⪩⨒∯2200=⪩⨒∯-231323030","layer":1},{"info":"NaN∘⪩⨒∯-231323030=NaN","layer":0}]}
{"id":429,"expression_no_base_symbol":"(⊖(⇈($1972$⪚⩙≫)))⫸⇳($3656$⪭$1340$)∴$5518$≁↽≥$1391$⫰⋱(($3200$⫑)⩭)","expression":"(⊖(⇈(⪩⨒∯132310⪚⩙≫)))⫸⇳(⪩⨒∯321020⪭⪩⨒∯110330)∴⪩⨒∯1112032≁↽≥⪩⨒∯111233⫰⋱((⪩⨒∯302000⫑)⩭)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23098,"operation_count":10,"complexity_ratio":2309.8,"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":1972,"base":4}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3656,"base":4},"right_expr":{"type":"numeric_atoms","value":1340,"base":4}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":5518,"base":4},"right_expr":{"type":"numeric_atoms","value":1391,"base":4}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":3200,"base":4}}}}},"used_operators":["gx7XJ7hdpj","U6pG0PXrV3","SLLxy00UIr","4n53wtyJvv","6o9Blt3TJ6","hrf7POJlIJ","j9kHMeSvPp","ncHt1X6cMc","yIPP7u6H5x","CgIo77xlM2"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","COABgblf1C","xUOZtlo3hN","oWn0xqSxBt","3Oe9XWJUTD","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1972","layer":4},{"info":"compute unary expreesion, input=1972, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=1341","layer":1},{"info":"number node, value=3656","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=1340, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=5518","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=5518, right_input=1391, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=78796","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=78796, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1658","layer":2},{"info":"number node, value=3200","layer":4},{"info":"compute unary expreesion, input=3200, 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 = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1658, 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=1341, 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":0}],"base":4,"result_base":4,"text":"(⊖(⇈(⪩⨒∯132310⪚⩙≫)))⫸⇳(⪩⨒∯321020⪭⪩⨒∯110330)∴⪩⨒∯1112032≁↽≥⪩⨒∯111233⫰⋱((⪩⨒∯302000⫑)⩭)=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⊖(⇈(⪩⨒∯132310⪚⩙≫)))⫸⇳(⪩⨒∯321020⪭⪩⨒∯110330)∴⪩⨒∯1112032≁↽≥⪩⨒∯111233⫰⋱((⪩⨒∯302000⫑)⩭)","cot":[{"info":"⪩⨒∯132310⪚⩙≫=NaN","layer":3},{"info":"⇈NaN=⪩⨒∯-12333","layer":2},{"info":"⊖⪩⨒∯-12333=⪩⨒∯110331","layer":1},{"info":"⪩⨒∯321020⪭⪩⨒∯110330=⪩⨒∯11","layer":3},{"info":"⪩⨒∯1112032≁↽≥⪩⨒∯111233=⪩⨒∯103033030","layer":3},{"info":"⪩⨒∯11∴⪩⨒∯103033030=⪩⨒∯121322","layer":2},{"info":"⪩⨒∯302000⫑=⪩⨒∯332023","layer":3},{"info":"⪩⨒∯332023⩭=NaN","layer":2},{"info":"⪩⨒∯121322⫰⋱NaN=NaN","layer":1},{"info":"⪩⨒∯110331⫸⇳NaN=⪩⨒∯0","layer":0}]}
{"id":430,"expression_no_base_symbol":"(($1129$⨻⩈⩔$4366$)⪢($3291$⨚⇆$4496$)⋳⪒($3066$⫃⨇$1236$)≎⊠⪸$2349$⫁⪎$6944$)⋝⋈⪟((↨⩢⫨(⫶⊄≣$2672$))%($2942$≓∲$1450$)⊋≦⊧$1737$↢$1069$)","expression":"((⪩⨒∯101221⨻⩈⩔⪩⨒∯1010032)⪢(⪩⨒∯303123⨚⇆⪩⨒∯1012100)⋳⪒(⪩⨒∯233322⫃⨇⪩⨒∯103110)≎⊠⪸⪩⨒∯210231⫁⪎⪩⨒∯1230200)⋝⋈⪟((↨⩢⫨(⫶⊄≣⪩⨒∯221300))%(⪩⨒∯231332≓∲⪩⨒∯112222)⊋≦⊧⪩⨒∯123021↢⪩⨒∯100231)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":26071,"operation_count":14,"complexity_ratio":1862.2142857142858,"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":1129,"base":4},"right_expr":{"type":"numeric_atoms","value":4366,"base":4}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":3291,"base":4},"right_expr":{"type":"numeric_atoms","value":4496,"base":4}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":3066,"base":4},"right_expr":{"type":"numeric_atoms","value":1236,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2349,"base":4},"right_expr":{"type":"numeric_atoms","value":6944,"base":4}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":2672,"base":4}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":2942,"base":4},"right_expr":{"type":"numeric_atoms","value":1450,"base":4}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1737,"base":4},"right_expr":{"type":"numeric_atoms","value":1069,"base":4}}}}},"used_operators":["2DDjHMKMc0","12rbrZMWeM","dWAJyo7jo9","nEsXyWgiOK","lwHaAYXP2r","bJkvcejdHO","09Ly4LVMIf","xRrnTEsQ6j","k8jYdgA6NY","Z5CJsN7DuW","wxb3vTeyAj","oRDoc9rAEX","s1XTVnmDOJ","WR6HLWljOP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"number node, value=4366","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=4366, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"number node, value=3291","layer":4},{"info":"number node, value=4496","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=4496, 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=-174, 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=3066","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=3066, right_input=1236, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4976","layer":3},{"info":"number node, value=2349","layer":4},{"info":"number node, value=6944","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=6944, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-4595","layer":3},{"info":"compute binary expreesion, left_input=-4976, right_input=-4595, 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 = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=2672","layer":4},{"info":"compute unary expreesion, input=2672, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=128557297","layer":3},{"info":"compute unary expreesion, input=128557297, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"number node, value=2942","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=2942, right_input=1450, 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=30203","layer":3},{"info":"number node, value=1737","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=1069, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1253","layer":3},{"info":"compute binary expreesion, left_input=30203, right_input=1253, 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=-2266","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2266, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯101221⨻⩈⩔⪩⨒∯1010032)⪢(⪩⨒∯303123⨚⇆⪩⨒∯1012100)⋳⪒(⪩⨒∯233322⫃⨇⪩⨒∯103110)≎⊠⪸⪩⨒∯210231⫁⪎⪩⨒∯1230200)⋝⋈⪟((↨⩢⫨(⫶⊄≣⪩⨒∯221300))%(⪩⨒∯231332≓∲⪩⨒∯112222)⊋≦⊧⪩⨒∯123021↢⪩⨒∯100231)=NaN","reverse_text":"NaN=((⪩⨒∯101221⨻⩈⩔⪩⨒∯1010032)⪢(⪩⨒∯303123⨚⇆⪩⨒∯1012100)⋳⪒(⪩⨒∯233322⫃⨇⪩⨒∯103110)≎⊠⪸⪩⨒∯210231⫁⪎⪩⨒∯1230200)⋝⋈⪟((↨⩢⫨(⫶⊄≣⪩⨒∯221300))%(⪩⨒∯231332≓∲⪩⨒∯112222)⊋≦⊧⪩⨒∯123021↢⪩⨒∯100231)","cot":[{"info":"⪩⨒∯101221⨻⩈⩔⪩⨒∯1010032=⪩⨒∯-2232","layer":3},{"info":"⪩⨒∯303123⨚⇆⪩⨒∯1012100=NaN","layer":3},{"info":"⪩⨒∯-2232⪢NaN=NaN","layer":2},{"info":"⪩⨒∯233322⫃⨇⪩⨒∯103110=⪩⨒∯-1031300","layer":3},{"info":"⪩⨒∯210231⫁⪎⪩⨒∯1230200=⪩⨒∯-1013303","layer":3},{"info":"⪩⨒∯-1031300≎⊠⪸⪩⨒∯-1013303=⪩⨒∯1003","layer":2},{"info":"NaN⋳⪒⪩⨒∯1003=NaN","layer":1},{"info":"⫶⊄≣⪩⨒∯221300=⪩⨒∯13222122003301","layer":3},{"info":"↨⩢⫨⪩⨒∯13222122003301=⪩⨒∯0","layer":2},{"info":"⪩⨒∯231332≓∲⪩⨒∯112222=⪩⨒∯13113323","layer":3},{"info":"⪩⨒∯123021↢⪩⨒∯100231=⪩⨒∯103211","layer":3},{"info":"⪩⨒∯13113323⊋≦⊧⪩⨒∯103211=⪩⨒∯-203122","layer":2},{"info":"⪩⨒∯0%⪩⨒∯-203122=⪩⨒∯0","layer":1},{"info":"NaN⋝⋈⪟⪩⨒∯0=NaN","layer":0}]}
{"id":431,"expression_no_base_symbol":"(↣≠⋷($5995$⫲≸⪮$1853$⫥∨⫟$2327$⨂≜$2204$))⋹⋡⊁(∓(∟⋨(⩪∧⨌$1115$)))","expression":"(↣≠⋷(⪩⨒∯1131223⫲≸⪮⪩⨒∯130331⫥∨⫟⪩⨒∯210113⨂≜⪩⨒∯202130))⋹⋡⊁(∓(∟⋨(⩪∧⨌⪩⨒∯101123)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":82225,"operation_count":8,"complexity_ratio":10278.125,"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":5995,"base":4},"right_expr":{"type":"numeric_atoms","value":1853,"base":4}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2327,"base":4},"right_expr":{"type":"numeric_atoms","value":2204,"base":4}}}},"right_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1115,"base":4}}}}},"used_operators":["As8RqfVLgs","Asc51vEJeQ","KYD54nUTWz","P3lXMJvFrc","k1SHOSEABc","OwUj7dcsQK","ctOc4cKSDt","6iOiAJX1F8"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","XhwjNDsVaA","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","tmPS8pqC7x","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"⪩⨒∯212003130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5995","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=5995, right_input=1853, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=5995","layer":3},{"info":"number node, value=2327","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=2204, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5995, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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=1115","layer":4},{"info":"compute unary expreesion, input=1115, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=11150","layer":3},{"info":"compute unary expreesion, input=11150, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-10666","layer":2},{"info":"compute unary expreesion, input=-10666, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=155118","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=155118, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=155868","layer":0}],"base":4,"result_base":4,"text":"(↣≠⋷(⪩⨒∯1131223⫲≸⪮⪩⨒∯130331⫥∨⫟⪩⨒∯210113⨂≜⪩⨒∯202130))⋹⋡⊁(∓(∟⋨(⩪∧⨌⪩⨒∯101123)))=⪩⨒∯212003130","reverse_text":"⪩⨒∯212003130=(↣≠⋷(⪩⨒∯1131223⫲≸⪮⪩⨒∯130331⫥∨⫟⪩⨒∯210113⨂≜⪩⨒∯202130))⋹⋡⊁(∓(∟⋨(⩪∧⨌⪩⨒∯101123)))","cot":[{"info":"⪩⨒∯1131223⫲≸⪮⪩⨒∯130331=⪩⨒∯1131223","layer":3},{"info":"⪩⨒∯210113⨂≜⪩⨒∯202130=NaN","layer":3},{"info":"⪩⨒∯1131223⫥∨⫟NaN=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"⩪∧⨌⪩⨒∯101123=⪩⨒∯2232032","layer":3},{"info":"∟⋨⪩⨒∯2232032=⪩⨒∯-2212222","layer":2},{"info":"∓⪩⨒∯-2212222=⪩⨒∯211313232","layer":1},{"info":"NaN⋹⋡⊁⪩⨒∯211313232=⪩⨒∯212003130","layer":0}]}
{"id":432,"expression_no_base_symbol":"(≯(⇖⫷⫕$1127$)⫁⪎($1456$⪪$8610$))∣(⫛⫱⨽$1562$)↹⊜($4502$⇮⋭$1376$)→⨶⪴(⊙↵-($5899$⇌⫙⪟$4193$))","expression":"(≯(⇖⫷⫕⪩⨒∯101213)⫁⪎(⪩⨒∯112300⪪⪩⨒∯2012202))∣(⫛⫱⨽⪩⨒∯120122)↹⊜(⪩⨒∯1012112⇮⋭⪩⨒∯111200)→⨶⪴(⊙↵-(⪩⨒∯1130023⇌⫙⪟⪩⨒∯1001201))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6898,"operation_count":11,"complexity_ratio":627.0909090909091,"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":1127,"base":4}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1456,"base":4},"right_expr":{"type":"numeric_atoms","value":8610,"base":4}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1562,"base":4}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":4502,"base":4},"right_expr":{"type":"numeric_atoms","value":1376,"base":4}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":5899,"base":4},"right_expr":{"type":"numeric_atoms","value":4193,"base":4}}}}},"used_operators":["PPChnnnBFF","keWfFq85dY","xRrnTEsQ6j","UHmRx3INFg","xD69zh8xqp","bF6eod5Gvf","9bazX3JMtO","DlLNRPXxWL","vkpjKywKVM","oWn0xqSxBt","AFVx7xoS7T"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","g55IO6H4Gj","JLbD19bQDL","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","FU0Cs4j7VP","JclMnS0uGI","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rGHVDoGpnC","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1456","layer":4},{"info":"number node, value=8610","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=8610, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-215945","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-215945, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=218767","layer":2},{"info":"compute unary expreesion, input=218767, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1562","layer":4},{"info":"compute unary expreesion, input=1562, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=4502","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=4502, right_input=1376, 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 = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3688","layer":2},{"info":"number node, value=5899","layer":4},{"info":"number node, value=4193","layer":4},{"info":"compute binary expreesion, left_input=5899, right_input=4193, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3688, right_input=0, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=7344","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=7344, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(≯(⇖⫷⫕⪩⨒∯101213)⫁⪎(⪩⨒∯112300⪪⪩⨒∯2012202))∣(⫛⫱⨽⪩⨒∯120122)↹⊜(⪩⨒∯1012112⇮⋭⪩⨒∯111200)→⨶⪴(⊙↵-(⪩⨒∯1130023⇌⫙⪟⪩⨒∯1001201))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(≯(⇖⫷⫕⪩⨒∯101213)⫁⪎(⪩⨒∯112300⪪⪩⨒∯2012202))∣(⫛⫱⨽⪩⨒∯120122)↹⊜(⪩⨒∯1012112⇮⋭⪩⨒∯111200)→⨶⪴(⊙↵-(⪩⨒∯1130023⇌⫙⪟⪩⨒∯1001201))","cot":[{"info":"⇖⫷⫕⪩⨒∯101213=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯112300⪪⪩⨒∯2012202=⪩⨒∯-310232021","layer":3},{"info":"⪩⨒∯230012⫁⪎⪩⨒∯-310232021=⪩⨒∯311122033","layer":2},{"info":"≯⪩⨒∯311122033=⪩⨒∯0","layer":1},{"info":"⫛⫱⨽⪩⨒∯120122=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1012112⇮⋭⪩⨒∯111200=⪩⨒∯-13121","layer":3},{"info":"⪩⨒∯0↹⊜⪩⨒∯-13121=⪩⨒∯321220","layer":2},{"info":"⪩⨒∯1130023⇌⫙⪟⪩⨒∯1001201=⪩⨒∯1301","layer":3},{"info":"⊙↵-⪩⨒∯1301=⪩⨒∯0","layer":2},{"info":"⪩⨒∯321220→⨶⪴⪩⨒∯0=⪩⨒∯1302300","layer":1},{"info":"⪩⨒∯0∣⪩⨒∯1302300=⪩⨒∯0","layer":0}]}
{"id":433,"expression_no_base_symbol":"(((⊈$2029$)⋖∅⋲)⫳≱↱($6484$⫸⊐$1046$⨸⪁($2267$⪷)))≝⊿(⨂⪏⇭($2607$≬⋮$1869$))⊕∕(↥≼⋛$1056$)⇡⇂($1094$⪍↜⋙$1633$)","expression":"(((⊈⪩⨒∯133231)⋖∅⋲)⫳≱↱(⪩⨒∯1211110⫸⊐⪩⨒∯100112⨸⪁(⪩⨒∯203123⪷)))≝⊿(⨂⪏⇭(⪩⨒∯220233≬⋮⪩⨒∯131031))⊕∕(↥≼⋛⪩⨒∯100200)⇡⇂(⪩⨒∯101012⪍↜⋙⪩⨒∯121201)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":90879,"operation_count":13,"complexity_ratio":6990.692307692308,"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":2029,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6484,"base":4},"right_expr":{"type":"numeric_atoms","value":1046,"base":4}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":2267,"base":4}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2607,"base":4},"right_expr":{"type":"numeric_atoms","value":1869,"base":4}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1056,"base":4}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":1094,"base":4},"right_expr":{"type":"numeric_atoms","value":1633,"base":4}}}}},"used_operators":["OKKcZfAt5B","ZvLB05nZmT","L95AwlJzhO","RHru8klgy8","g55IO6H4Gj","mqXw5SEYmG","Qctrpi3WzA","9cloC0Ngie","AYdpE9sXAk","kbkesczE7y","UMwdvZNt44","x5lMkHmzsq","L05ObWFQCd"],"dependent_operators":["12rbrZMWeM","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","12rbrZMWeM","xUOZtlo3hN","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Nsiff2A1zJ","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q"],"result":"⪩⨒∯-313323","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2029","layer":4},{"info":"compute unary expreesion, input=2029, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-2203","layer":3},{"info":"compute unary expreesion, input=-2203, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":2},{"info":"number node, value=6484","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=6484, right_input=1046, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4059","layer":3},{"info":"number node, value=2267","layer":4},{"info":"compute unary expreesion, input=2267, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4059, 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=0, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=2607","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=2607, right_input=1869, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=1625","layer":2},{"info":"number node, value=1056","layer":4},{"info":"compute unary expreesion, input=1056, 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=1094","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1633, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-9519","layer":3},{"info":"compute binary expreesion, left_input=-113, right_input=-9519, 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=116","layer":2},{"info":"compute binary expreesion, left_input=1625, right_input=116, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1625","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=1625, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-3579","layer":0}],"base":4,"result_base":4,"text":"(((⊈⪩⨒∯133231)⋖∅⋲)⫳≱↱(⪩⨒∯1211110⫸⊐⪩⨒∯100112⨸⪁(⪩⨒∯203123⪷)))≝⊿(⨂⪏⇭(⪩⨒∯220233≬⋮⪩⨒∯131031))⊕∕(↥≼⋛⪩⨒∯100200)⇡⇂(⪩⨒∯101012⪍↜⋙⪩⨒∯121201)=⪩⨒∯-313323","reverse_text":"⪩⨒∯-313323=(((⊈⪩⨒∯133231)⋖∅⋲)⫳≱↱(⪩⨒∯1211110⫸⊐⪩⨒∯100112⨸⪁(⪩⨒∯203123⪷)))≝⊿(⨂⪏⇭(⪩⨒∯220233≬⋮⪩⨒∯131031))⊕∕(↥≼⋛⪩⨒∯100200)⇡⇂(⪩⨒∯101012⪍↜⋙⪩⨒∯121201)","cot":[{"info":"⊈⪩⨒∯133231=⪩⨒∯-202123","layer":3},{"info":"⪩⨒∯-202123⋖∅⋲=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1211110⫸⊐⪩⨒∯100112=⪩⨒∯333123","layer":3},{"info":"⪩⨒∯203123⪷=NaN","layer":3},{"info":"⪩⨒∯333123⨸⪁NaN=NaN","layer":2},{"info":"⪩⨒∯0⫳≱↱NaN=⪩⨒∯-3030","layer":1},{"info":"⪩⨒∯220233≬⋮⪩⨒∯131031=⪩⨒∯31210","layer":3},{"info":"⨂⪏⇭⪩⨒∯31210=⪩⨒∯121121","layer":2},{"info":"↥≼⋛⪩⨒∯100200=⪩⨒∯-1301","layer":3},{"info":"⪩⨒∯101012⪍↜⋙⪩⨒∯121201=⪩⨒∯-2110233","layer":3},{"info":"⪩⨒∯-1301⇡⇂⪩⨒∯-2110233=⪩⨒∯1310","layer":2},{"info":"⪩⨒∯121121⊕∕⪩⨒∯1310=⪩⨒∯121121","layer":1},{"info":"⪩⨒∯-3030≝⊿⪩⨒∯121121=⪩⨒∯-313323","layer":0}]}
{"id":434,"expression_no_base_symbol":"⨑⩽⪐($1388$≭$1903$)⪎↠(⫓⪴$1286$)≒∊($2948$⋝⋈⪟$3825$)⫯⪬∳($1867$∑⇟⊟$4294$)","expression":"⨑⩽⪐(⪩⨒∯111230≭⪩⨒∯131233)⪎↠(⫓⪴⪩⨒∯110012)≒∊(⪩⨒∯232010⋝⋈⪟⪩⨒∯323301)⫯⪬∳(⪩⨒∯131023∑⇟⊟⪩⨒∯1003012)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1320,"operation_count":8,"complexity_ratio":165.0,"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":1388,"base":4},"right_expr":{"type":"numeric_atoms","value":1903,"base":4}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1286,"base":4}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2948,"base":4},"right_expr":{"type":"numeric_atoms","value":3825,"base":4}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1867,"base":4},"right_expr":{"type":"numeric_atoms","value":4294,"base":4}}}}},"used_operators":["AF7qkfDlqP","5KTvxBwnZo","3tVxb0NHM4","rxpJgHHUmx","eLxqMNBOBk","d7ASUq0ydm","2DDjHMKMc0","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","AHs5Up7iyr","9HNa5Wba9A","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1388","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=1903, 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=1286","layer":4},{"info":"compute unary expreesion, input=1286, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1653796","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1653796, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":2},{"info":"number node, value=2948","layer":4},{"info":"number node, value=3825","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=3825, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2948","layer":3},{"info":"number node, value=1867","layer":4},{"info":"number node, value=4294","layer":4},{"info":"compute binary expreesion, left_input=1867, right_input=4294, 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=2948, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8911","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8911, 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 = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⨑⩽⪐(⪩⨒∯111230≭⪩⨒∯131233)⪎↠(⫓⪴⪩⨒∯110012)≒∊(⪩⨒∯232010⋝⋈⪟⪩⨒∯323301)⫯⪬∳(⪩⨒∯131023∑⇟⊟⪩⨒∯1003012)=NaN","reverse_text":"NaN=⨑⩽⪐(⪩⨒∯111230≭⪩⨒∯131233)⪎↠(⫓⪴⪩⨒∯110012)≒∊(⪩⨒∯232010⋝⋈⪟⪩⨒∯323301)⫯⪬∳(⪩⨒∯131023∑⇟⊟⪩⨒∯1003012)","cot":[{"info":"⪩⨒∯111230≭⪩⨒∯131233=NaN","layer":3},{"info":"⫓⪴⪩⨒∯110012=⪩⨒∯12103300210","layer":3},{"info":"NaN⪎↠⪩⨒∯12103300210=NaN","layer":2},{"info":"⪩⨒∯232010⋝⋈⪟⪩⨒∯323301=⪩⨒∯232010","layer":3},{"info":"⪩⨒∯131023∑⇟⊟⪩⨒∯1003012=NaN","layer":3},{"info":"⪩⨒∯232010⫯⪬∳NaN=⪩⨒∯2023033","layer":2},{"info":"NaN≒∊⪩⨒∯2023033=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":435,"expression_no_base_symbol":"∟⋨((($6348$⫦⪉$4957$)↡⊰⫅(≀↧⇸$1471$))⨔≚≋(≯($3981$⊭∹↮)))","expression":"∟⋨(((⪩⨒∯1203030⫦⪉⪩⨒∯1031131)↡⊰⫅(≀↧⇸⪩⨒∯112333))⨔≚≋(≯(⪩⨒∯332031⊭∹↮)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":51165,"operation_count":7,"complexity_ratio":7309.285714285715,"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":6348,"base":4},"right_expr":{"type":"numeric_atoms","value":4957,"base":4}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"numeric_atoms","value":1471,"base":4}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3981,"base":4}}}}},"used_operators":["ctOc4cKSDt","Z57zeUYC9z","VCtxkLNOzz","wscyQdcy20","ljTHtUsqzn","keWfFq85dY","xNBdhnnwKq"],"dependent_operators":["eLAdDNolq6","tmPS8pqC7x","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","XPYlsWDdGa","23Mk6UjR3U","g55IO6H4Gj","JLbD19bQDL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⪩⨒∯-2102230","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6348","layer":4},{"info":"number node, value=4957","layer":4},{"info":"compute binary expreesion, left_input=6348, right_input=4957, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-7796","layer":3},{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=2942","layer":3},{"info":"compute binary expreesion, left_input=-7796, right_input=2942, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=5884","layer":2},{"info":"number node, value=3981","layer":4},{"info":"compute unary expreesion, input=3981, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7962","layer":3},{"info":"compute unary expreesion, input=7962, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5884, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":1},{"info":"compute unary expreesion, input=9872, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-9388","layer":0}],"base":4,"result_base":4,"text":"∟⋨(((⪩⨒∯1203030⫦⪉⪩⨒∯1031131)↡⊰⫅(≀↧⇸⪩⨒∯112333))⨔≚≋(≯(⪩⨒∯332031⊭∹↮)))=⪩⨒∯-2102230","reverse_text":"⪩⨒∯-2102230=∟⋨(((⪩⨒∯1203030⫦⪉⪩⨒∯1031131)↡⊰⫅(≀↧⇸⪩⨒∯112333))⨔≚≋(≯(⪩⨒∯332031⊭∹↮)))","cot":[{"info":"⪩⨒∯1203030⫦⪉⪩⨒∯1031131=⪩⨒∯-1321310","layer":3},{"info":"≀↧⇸⪩⨒∯112333=⪩⨒∯231332","layer":3},{"info":"⪩⨒∯-1321310↡⊰⫅⪩⨒∯231332=⪩⨒∯1123330","layer":2},{"info":"⪩⨒∯332031⊭∹↮=⪩⨒∯1330122","layer":3},{"info":"≯⪩⨒∯1330122=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1123330⨔≚≋⪩⨒∯0=⪩⨒∯2122100","layer":1},{"info":"∟⋨⪩⨒∯2122100=⪩⨒∯-2102230","layer":0}]}
{"id":436,"expression_no_base_symbol":"(($2352$⫠↝⫳)⫉⨲⊜($5048$⪣⫩)⇄$1989$⋾⨃∁$1303$⇌⫙⪟($4843$⩵∡$1926$))↤⩊($1325$⇂≾⫗$2265$≧⫂∧(+⊝⨔$5006$)≥⨤⩑(⊄⩳↩$3482$↓$4042$))","expression":"((⪩⨒∯210300⫠↝⫳)⫉⨲⊜(⪩⨒∯1032320⪣⫩)⇄⪩⨒∯133011⋾⨃∁⪩⨒∯110113⇌⫙⪟(⪩⨒∯1023223⩵∡⪩⨒∯132012))↤⩊(⪩⨒∯110231⇂≾⫗⪩⨒∯203121≧⫂∧(+⊝⨔⪩⨒∯1032032)≥⨤⩑(⊄⩳↩⪩⨒∯312122↓⪩⨒∯333022))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":58592,"operation_count":14,"complexity_ratio":4185.142857142857,"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":2352,"base":4}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":5048,"base":4}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1989,"base":4},"right_expr":{"type":"numeric_atoms","value":1303,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4843,"base":4},"right_expr":{"type":"numeric_atoms","value":1926,"base":4}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":1325,"base":4},"right_expr":{"type":"numeric_atoms","value":2265,"base":4}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5006,"base":4}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":3482,"base":4},"right_expr":{"type":"numeric_atoms","value":4042,"base":4}}}}},"used_operators":["13rbtpv6ld","3EYGwJThht","WhqkvtTD3t","8n5YIzOsVS","iuk5sVOGFA","AFVx7xoS7T","212REbPD9h","Y7wcNGrDQJ","gJLn6v0xnP","Ph9nP6C5qx","aBQ6xLxuTc","DhbWaqg5eL","8w2t5hMYqp","Af076pWI7l"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","glklzrTFfD","tifHPKVTfV","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2352","layer":4},{"info":"compute unary expreesion, input=2352, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=75887","layer":3},{"info":"number node, value=5048","layer":4},{"info":"compute unary expreesion, input=5048, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=15111","layer":3},{"info":"compute binary expreesion, left_input=75887, right_input=15111, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"number node, value=1989","layer":4},{"info":"number node, value=1303","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=1303, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=16962360","layer":3},{"info":"number node, value=4843","layer":4},{"info":"number node, value=1926","layer":4},{"info":"compute binary expreesion, left_input=4843, right_input=1926, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-7881","layer":3},{"info":"compute binary expreesion, left_input=16962360, right_input=-7881, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=-33885279","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-33885279, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=33885763","layer":1},{"info":"number node, value=1325","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=2265, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=5006","layer":4},{"info":"compute unary expreesion, input=5006, 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=-676, right_input=1522, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1049","layer":2},{"info":"number node, value=3482","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=3482, right_input=4042, 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 = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=402","layer":2},{"info":"compute binary expreesion, left_input=1049, right_input=402, 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=33885763, right_input=1234, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯210300⫠↝⫳)⫉⨲⊜(⪩⨒∯1032320⪣⫩)⇄⪩⨒∯133011⋾⨃∁⪩⨒∯110113⇌⫙⪟(⪩⨒∯1023223⩵∡⪩⨒∯132012))↤⩊(⪩⨒∯110231⇂≾⫗⪩⨒∯203121≧⫂∧(+⊝⨔⪩⨒∯1032032)≥⨤⩑(⊄⩳↩⪩⨒∯312122↓⪩⨒∯333022))=NaN","reverse_text":"NaN=((⪩⨒∯210300⫠↝⫳)⫉⨲⊜(⪩⨒∯1032320⪣⫩)⇄⪩⨒∯133011⋾⨃∁⪩⨒∯110113⇌⫙⪟(⪩⨒∯1023223⩵∡⪩⨒∯132012))↤⩊(⪩⨒∯110231⇂≾⫗⪩⨒∯203121≧⫂∧(+⊝⨔⪩⨒∯1032032)≥⨤⩑(⊄⩳↩⪩⨒∯312122↓⪩⨒∯333022))","cot":[{"info":"⪩⨒∯210300⫠↝⫳=⪩⨒∯102201233","layer":3},{"info":"⪩⨒∯1032320⪣⫩=⪩⨒∯3230013","layer":3},{"info":"⪩⨒∯102201233⫉⨲⊜⪩⨒∯3230013=⪩⨒∯0","layer":2},{"info":"⪩⨒∯133011⋾⨃∁⪩⨒∯110113=⪩⨒∯1000231030320","layer":3},{"info":"⪩⨒∯1023223⩵∡⪩⨒∯132012=⪩⨒∯-1323021","layer":3},{"info":"⪩⨒∯1000231030320⇌⫙⪟⪩⨒∯-1323021=⪩⨒∯-2001100301133","layer":2},{"info":"⪩⨒∯0⇄⪩⨒∯-2001100301133=⪩⨒∯2001100321003","layer":1},{"info":"⪩⨒∯110231⇂≾⫗⪩⨒∯203121=⪩⨒∯-22210","layer":3},{"info":"+⊝⨔⪩⨒∯1032032=⪩⨒∯113302","layer":3},{"info":"⪩⨒∯-22210≧⫂∧⪩⨒∯113302=⪩⨒∯100121","layer":2},{"info":"⪩⨒∯312122↓⪩⨒∯333022=⪩⨒∯-2012","layer":3},{"info":"⊄⩳↩⪩⨒∯-2012=⪩⨒∯12102","layer":2},{"info":"⪩⨒∯100121≥⨤⩑⪩⨒∯12102=⪩⨒∯103102","layer":1},{"info":"⪩⨒∯2001100321003↤⩊⪩⨒∯103102=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"((⩰$2822$⇄$1002$)≧⫂∧(⨰⫟⨤($3998$∲⫓$2860$)))⨔⇊(⨡↴(⊖∈$3213$⫁⪎$3509$))","expression":"((⩰⪩⨒∯230012⇄⪩⨒∯33222)≧⫂∧(⨰⫟⨤(⪩⨒∯332132∲⫓⪩⨒∯230230)))⨔⇊(⨡↴(⊖∈⪩⨒∯302031⫁⪎⪩⨒∯312311))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1853,"operation_count":9,"complexity_ratio":205.88888888888889,"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":2822,"base":4},"right_expr":{"type":"numeric_atoms","value":1002,"base":4}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3998,"base":4},"right_expr":{"type":"numeric_atoms","value":2860,"base":4}}}},"right_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":3213,"base":4},"right_expr":{"type":"numeric_atoms","value":3509,"base":4}}}}},"used_operators":["JclMnS0uGI","Ph9nP6C5qx","WkeUrDK8WX","3EYGwJThht","Tw270M8GLb","i8ToyICDmI","liw5iZPkLH","YFxL8Sc2Zy","xRrnTEsQ6j"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","P8v4zCKN1o","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⪩⨒∯12322032223","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2822","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1002, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1000","layer":2},{"info":"number node, value=3998","layer":4},{"info":"number node, value=2860","layer":4},{"info":"compute binary expreesion, left_input=3998, right_input=2860, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute binary expreesion, left_input=-1000, right_input=4492662, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4492189","layer":1},{"info":"number node, value=3213","layer":4},{"info":"number node, value=3509","layer":4},{"info":"compute binary expreesion, left_input=3213, right_input=3509, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-296","layer":3},{"info":"compute unary expreesion, input=-296, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=1810322","layer":2},{"info":"compute unary expreesion, input=1810322, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=1811371","layer":1},{"info":"compute binary expreesion, left_input=4492189, right_input=1811371, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1811371","layer":0}],"base":4,"result_base":4,"text":"((⩰⪩⨒∯230012⇄⪩⨒∯33222)≧⫂∧(⨰⫟⨤(⪩⨒∯332132∲⫓⪩⨒∯230230)))⨔⇊(⨡↴(⊖∈⪩⨒∯302031⫁⪎⪩⨒∯312311))=⪩⨒∯12322032223","reverse_text":"⪩⨒∯12322032223=((⩰⪩⨒∯230012⇄⪩⨒∯33222)≧⫂∧(⨰⫟⨤(⪩⨒∯332132∲⫓⪩⨒∯230230)))⨔⇊(⨡↴(⊖∈⪩⨒∯302031⫁⪎⪩⨒∯312311))","cot":[{"info":"⪩⨒∯230012⇄⪩⨒∯33222=⪩⨒∯0","layer":3},{"info":"⩰⪩⨒∯0=⪩⨒∯-33220","layer":2},{"info":"⪩⨒∯332132∲⫓⪩⨒∯230230=⪩⨒∯0","layer":3},{"info":"⨰⫟⨤⪩⨒∯0=⪩⨒∯101020311312","layer":2},{"info":"⪩⨒∯-33220≧⫂∧⪩⨒∯101020311312=⪩⨒∯101020232131","layer":1},{"info":"⪩⨒∯302031⫁⪎⪩⨒∯312311=⪩⨒∯-10220","layer":3},{"info":"⊖∈⪩⨒∯-10220=⪩⨒∯12321332102","layer":2},{"info":"⨡↴⪩⨒∯12321332102=⪩⨒∯12322032223","layer":1},{"info":"⪩⨒∯101020232131⨔⇊⪩⨒∯12322032223=⪩⨒∯12322032223","layer":0}]}
{"id":438,"expression_no_base_symbol":"(⪫⨮⊛((↘$2053$)⫲⨊))⪷","expression":"(⪫⨮⊛((↘⪩⨒∯200011)⫲⨊))⪷","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1284,"operation_count":4,"complexity_ratio":321.0,"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":2053,"base":4}}}}},"used_operators":["Qctrpi3WzA","w5FWba1tyO","CArV6hThFE","LdNpr8hQHL"],"dependent_operators":["Nsiff2A1zJ","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2053","layer":4},{"info":"compute unary expreesion, input=2053, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=93","layer":3},{"info":"compute unary expreesion, input=93, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=1248","layer":2},{"info":"compute unary expreesion, input=1248, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=1248","layer":1},{"info":"compute unary expreesion, input=1248, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪫⨮⊛((↘⪩⨒∯200011)⫲⨊))⪷=NaN","reverse_text":"NaN=(⪫⨮⊛((↘⪩⨒∯200011)⫲⨊))⪷","cot":[{"info":"↘⪩⨒∯200011=⪩⨒∯1131","layer":3},{"info":"⪩⨒∯1131⫲⨊=⪩⨒∯103200","layer":2},{"info":"⪫⨮⊛⪩⨒∯103200=⪩⨒∯103200","layer":1},{"info":"⪩⨒∯103200⪷=NaN","layer":0}]}
{"id":439,"expression_no_base_symbol":"∷≠(($2387$∋$4540$)⇤($8407$∇⊂⋱$2855$)→⨶⪴(⨣⨃⇪(→⩰$4906$)))","expression":"∷≠((⪩⨒∯211103∋⪩⨒∯1012330)⇤(⪩⨒∯2003113∇⊂⋱⪩⨒∯230213)→⨶⪴(⨣⨃⇪(→⩰⪩⨒∯1030222)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5450,"operation_count":7,"complexity_ratio":778.5714285714286,"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":2387,"base":4},"right_expr":{"type":"numeric_atoms","value":4540,"base":4}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":8407,"base":4},"right_expr":{"type":"numeric_atoms","value":2855,"base":4}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4906,"base":4}}}}},"used_operators":["QiR2Oyf5Xj","bF6eod5Gvf","YSKBFp38Pu","ukq6epAj5P","nhYeJWJD5X","AcOhelriW5","o8Pngz0Tml"],"dependent_operators":["7j4O788W3g","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL"],"result":"⪩⨒∯-1001313","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2387","layer":4},{"info":"number node, value=4540","layer":4},{"info":"compute binary expreesion, left_input=2387, right_input=4540, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=9477332","layer":3},{"info":"number node, value=8407","layer":4},{"info":"number node, value=2855","layer":4},{"info":"compute binary expreesion, left_input=8407, right_input=2855, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=16268","layer":3},{"info":"compute binary expreesion, left_input=9477332, right_input=16268, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-47465152","layer":2},{"info":"number node, value=4906","layer":4},{"info":"compute unary expreesion, input=4906, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=-47465152, right_input=1405, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4215","layer":1},{"info":"compute unary expreesion, input=-4215, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-4215","layer":0}],"base":4,"result_base":4,"text":"∷≠((⪩⨒∯211103∋⪩⨒∯1012330)⇤(⪩⨒∯2003113∇⊂⋱⪩⨒∯230213)→⨶⪴(⨣⨃⇪(→⩰⪩⨒∯1030222)))=⪩⨒∯-1001313","reverse_text":"⪩⨒∯-1001313=∷≠((⪩⨒∯211103∋⪩⨒∯1012330)⇤(⪩⨒∯2003113∇⊂⋱⪩⨒∯230213)→⨶⪴(⨣⨃⇪(→⩰⪩⨒∯1030222)))","cot":[{"info":"⪩⨒∯211103∋⪩⨒∯1012330=⪩⨒∯210021303110","layer":3},{"info":"⪩⨒∯2003113∇⊂⋱⪩⨒∯230213=⪩⨒∯3332030","layer":3},{"info":"⪩⨒∯210021303110⇤⪩⨒∯3332030=⪩⨒∯-2311010023000","layer":2},{"info":"→⩰⪩⨒∯1030222=NaN","layer":3},{"info":"⨣⨃⇪NaN=⪩⨒∯111331","layer":2},{"info":"⪩⨒∯-2311010023000→⨶⪴⪩⨒∯111331=⪩⨒∯-1001313","layer":1},{"info":"∷≠⪩⨒∯-1001313=⪩⨒∯-1001313","layer":0}]}
{"id":440,"expression_no_base_symbol":"($1527$⇂≾⫗$6501$⋫)↞⋁(⇋↷($2784$⊠≄⫣))⨒(⋎⨆$4190$)⨑⩅≇($1260$∴$8936$)⋅⇍($2983$⪃⊛⇣$1174$⩹$4287$∌↝$1116$)","expression":"(⪩⨒∯113313⇂≾⫗⪩⨒∯1211211⋫)↞⋁(⇋↷(⪩⨒∯223200⊠≄⫣))⨒(⋎⨆⪩⨒∯1001132)⨑⩅≇(⪩⨒∯103230∴⪩⨒∯2023220)⋅⇍(⪩⨒∯232213⪃⊛⇣⪩⨒∯102112⩹⪩⨒∯1002333∌↝⪩⨒∯101130)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":5795,"operation_count":13,"complexity_ratio":445.7692307692308,"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":1527,"base":4},"right_expr":{"type":"numeric_atoms","value":6501,"base":4}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2784,"base":4}}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":4190,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1260,"base":4},"right_expr":{"type":"numeric_atoms","value":8936,"base":4}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2983,"base":4},"right_expr":{"type":"numeric_atoms","value":1174,"base":4}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":4287,"base":4},"right_expr":{"type":"numeric_atoms","value":1116,"base":4}}}}},"used_operators":["y75s1iXyHd","RqrPlJkxDo","JL8yIekQnl","aBQ6xLxuTc","SWo3A1KBJH","DIvbN7qnHd","AdZkA7nFnk","h92wMvzauj","E64sFOc4tB","hrf7POJlIJ","2Wsdkap16l","rrgAzCduG9","9Isq31Ruls"],"dependent_operators":["srAu1WTS94","oacrs7FA3X","7qqUquhhSb","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","tmPS8pqC7x","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1527","layer":4},{"info":"number node, value=6501","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=6501, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-676","layer":2},{"info":"number node, value=2784","layer":4},{"info":"compute unary expreesion, input=2784, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-676, right_input=0, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":1},{"info":"number node, value=4190","layer":4},{"info":"compute unary expreesion, input=4190, 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=1260","layer":4},{"info":"number node, value=8936","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=8936, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4168","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4168, 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=2983","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=2983, right_input=1174, 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=4287","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=4287, right_input=1116, 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 = 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=0, right_input=-2, 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=nan, right_input=-22, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯113313⇂≾⫗⪩⨒∯1211211⋫)↞⋁(⇋↷(⪩⨒∯223200⊠≄⫣))⨒(⋎⨆⪩⨒∯1001132)⨑⩅≇(⪩⨒∯103230∴⪩⨒∯2023220)⋅⇍(⪩⨒∯232213⪃⊛⇣⪩⨒∯102112⩹⪩⨒∯1002333∌↝⪩⨒∯101130)=NaN","reverse_text":"NaN=(⪩⨒∯113313⇂≾⫗⪩⨒∯1211211⋫)↞⋁(⇋↷(⪩⨒∯223200⊠≄⫣))⨒(⋎⨆⪩⨒∯1001132)⨑⩅≇(⪩⨒∯103230∴⪩⨒∯2023220)⋅⇍(⪩⨒∯232213⪃⊛⇣⪩⨒∯102112⩹⪩⨒∯1002333∌↝⪩⨒∯101130)","cot":[{"info":"⪩⨒∯113313⇂≾⫗⪩⨒∯1211211=⪩⨒∯-22210","layer":3},{"info":"⪩⨒∯-22210⋫=⪩⨒∯-22210","layer":2},{"info":"⪩⨒∯223200⊠≄⫣=⪩⨒∯0","layer":3},{"info":"⇋↷⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-22210↞⋁⪩⨒∯0=NaN","layer":1},{"info":"⋎⨆⪩⨒∯1001132=⪩⨒∯0","layer":3},{"info":"⪩⨒∯103230∴⪩⨒∯2023220=⪩⨒∯1001020","layer":3},{"info":"⪩⨒∯0⨑⩅≇⪩⨒∯1001020=⪩⨒∯0","layer":2},{"info":"⪩⨒∯232213⪃⊛⇣⪩⨒∯102112=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯1002333∌↝⪩⨒∯101130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯103102⩹⪩⨒∯0=⪩⨒∯-2","layer":2},{"info":"⪩⨒∯0⋅⇍⪩⨒∯-2=⪩⨒∯-112","layer":1},{"info":"NaN⨒⪩⨒∯-112=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"(↔($2024$⫁⪎$7775$)⋥⋵⩄($1355$+$1287$))⋝⋈⪟($2552$⨥⫆$1951$≧⫂∧(⊖∈$3156$)⩺⪪(⨵($1644$↢$6022$)))","expression":"(↔(⪩⨒∯133220⫁⪎⪩⨒∯1321133)⋥⋵⩄(⪩⨒∯111023+⪩⨒∯110013))⋝⋈⪟(⪩⨒∯213320⨥⫆⪩⨒∯132133≧⫂∧(⊖∈⪩⨒∯301110)⩺⪪(⨵(⪩⨒∯121230↢⪩⨒∯1132012)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":308,"operation_count":11,"complexity_ratio":28.0,"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":2024,"base":4},"right_expr":{"type":"numeric_atoms","value":7775,"base":4}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1355,"base":4},"right_expr":{"type":"numeric_atoms","value":1287,"base":4}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2552,"base":4},"right_expr":{"type":"numeric_atoms","value":1951,"base":4}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":3156,"base":4}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1644,"base":4},"right_expr":{"type":"numeric_atoms","value":6022,"base":4}}}}},"used_operators":["2DDjHMKMc0","ruOEQAzv1W","7t3wd0Fuz7","xRrnTEsQ6j","W4YGzv6Whe","uvdQJvN4PV","Ph9nP6C5qx","yXekIHxTD4","YFxL8Sc2Zy","Tl3Y52tvF8","WR6HLWljOP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2024","layer":4},{"info":"number node, value=7775","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=7775, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-5751","layer":3},{"info":"number node, value=1355","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=1287, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2642","layer":3},{"info":"compute binary expreesion, left_input=-5751, right_input=2642, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":2},{"info":"compute unary expreesion, input=113, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=160","layer":1},{"info":"number node, value=2552","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=2552, right_input=1951, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3778","layer":3},{"info":"number node, value=3156","layer":4},{"info":"compute unary expreesion, input=3156, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=57526","layer":3},{"info":"compute binary expreesion, left_input=3778, right_input=57526, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=57053","layer":2},{"info":"number node, value=1644","layer":4},{"info":"number node, value=6022","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=6022, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1160","layer":3},{"info":"compute unary expreesion, input=1160, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-10489","layer":2},{"info":"compute binary expreesion, left_input=57053, right_input=-10489, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1081570","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-1081570, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":0}],"base":4,"result_base":4,"text":"(↔(⪩⨒∯133220⫁⪎⪩⨒∯1321133)⋥⋵⩄(⪩⨒∯111023+⪩⨒∯110013))⋝⋈⪟(⪩⨒∯213320⨥⫆⪩⨒∯132133≧⫂∧(⊖∈⪩⨒∯301110)⩺⪪(⨵(⪩⨒∯121230↢⪩⨒∯1132012)))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(↔(⪩⨒∯133220⫁⪎⪩⨒∯1321133)⋥⋵⩄(⪩⨒∯111023+⪩⨒∯110013))⋝⋈⪟(⪩⨒∯213320⨥⫆⪩⨒∯132133≧⫂∧(⊖∈⪩⨒∯301110)⩺⪪(⨵(⪩⨒∯121230↢⪩⨒∯1132012)))","cot":[{"info":"⪩⨒∯133220⫁⪎⪩⨒∯1321133=⪩⨒∯-1121313","layer":3},{"info":"⪩⨒∯111023+⪩⨒∯110013=⪩⨒∯221102","layer":3},{"info":"⪩⨒∯-1121313⋥⋵⩄⪩⨒∯221102=⪩⨒∯1301","layer":2},{"info":"↔⪩⨒∯1301=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯213320⨥⫆⪩⨒∯132133=⪩⨒∯323002","layer":3},{"info":"⊖∈⪩⨒∯301110=⪩⨒∯32002312","layer":3},{"info":"⪩⨒∯323002≧⫂∧⪩⨒∯32002312=⪩⨒∯31323131","layer":2},{"info":"⪩⨒∯121230↢⪩⨒∯1132012=⪩⨒∯102020","layer":3},{"info":"⨵⪩⨒∯102020=⪩⨒∯-2203321","layer":2},{"info":"⪩⨒∯31323131⩺⪪⪩⨒∯-2203321=⪩⨒∯-10020003202","layer":1},{"info":"⪩⨒∯2200⋝⋈⪟⪩⨒∯-10020003202=⪩⨒∯2200","layer":0}]}
{"id":442,"expression_no_base_symbol":"↪⫪⫘((≸≮($5824$∲⫓$2791$))⊠≄⫣)","expression":"↪⫪⫘((≸≮(⪩⨒∯1123000∲⫓⪩⨒∯223213))⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":67,"operation_count":4,"complexity_ratio":16.75,"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":5824,"base":4},"right_expr":{"type":"numeric_atoms","value":2791,"base":4}}}}},"used_operators":["9dWsAM3GFt","DIvbN7qnHd","AljMvE3RRm","i8ToyICDmI"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯110","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5824","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=5824, right_input=2791, 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 = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-262","layer":2},{"info":"compute unary expreesion, input=-262, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":0}],"base":4,"result_base":4,"text":"↪⫪⫘((≸≮(⪩⨒∯1123000∲⫓⪩⨒∯223213))⊠≄⫣)=⪩⨒∯110","reverse_text":"⪩⨒∯110=↪⫪⫘((≸≮(⪩⨒∯1123000∲⫓⪩⨒∯223213))⊠≄⫣)","cot":[{"info":"⪩⨒∯1123000∲⫓⪩⨒∯223213=⪩⨒∯0","layer":3},{"info":"≸≮⪩⨒∯0=⪩⨒∯-10012","layer":2},{"info":"⪩⨒∯-10012⊠≄⫣=⪩⨒∯0","layer":1},{"info":"↪⫪⫘⪩⨒∯0=⪩⨒∯110","layer":0}]}
{"id":443,"expression_no_base_symbol":"(⪸((≀↧⇸$1841$)⩵∡(∮$1052$)))⪭((∓⪦($1870$⪇≇⋚$6173$))⪉⨛($6135$⪒$1035$⪁$3336$⪒⊣⊆$2217$))","expression":"(⪸((≀↧⇸⪩⨒∯130301)⩵∡(∮⪩⨒∯100130)))⪭((∓⪦(⪩⨒∯131032⪇≇⋚⪩⨒∯1200131))⪉⨛(⪩⨒∯1133313⪒⪩⨒∯100023⪁⪩⨒∯310020⪒⊣⊆⪩⨒∯202221))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14295,"operation_count":11,"complexity_ratio":1299.5454545454545,"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":1841,"base":4}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"numeric_atoms","value":1052,"base":4}}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1870,"base":4},"right_expr":{"type":"numeric_atoms","value":6173,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6135,"base":4},"right_expr":{"type":"numeric_atoms","value":1035,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3336,"base":4},"right_expr":{"type":"numeric_atoms","value":2217,"base":4}}}}},"used_operators":["j9kHMeSvPp","86A5ENbKR9","Y7wcNGrDQJ","ljTHtUsqzn","CqXKPLVYql","EWw2JM7wp4","D309nIvmXG","3sJ7IOPOlU","I7sXao9hZE","f6k1SAg4EE","eRqsBgTDFp"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","XPYlsWDdGa","23Mk6UjR3U","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1841","layer":4},{"info":"compute unary expreesion, input=1841, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3682","layer":3},{"info":"number node, value=1052","layer":4},{"info":"compute unary expreesion, input=1052, 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=3682, right_input=67, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-7418","layer":2},{"info":"compute unary expreesion, input=-7418, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=72282","layer":1},{"info":"number node, value=1870","layer":4},{"info":"number node, value=6173","layer":4},{"info":"compute binary expreesion, left_input=1870, right_input=6173, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', 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":"number node, value=6135","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=6135, right_input=1035, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7170","layer":3},{"info":"number node, value=3336","layer":4},{"info":"number node, value=2217","layer":4},{"info":"compute binary expreesion, left_input=3336, right_input=2217, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6672","layer":3},{"info":"compute binary expreesion, left_input=-7170, right_input=6672, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2119, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=72282, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪸((≀↧⇸⪩⨒∯130301)⩵∡(∮⪩⨒∯100130)))⪭((∓⪦(⪩⨒∯131032⪇≇⋚⪩⨒∯1200131))⪉⨛(⪩⨒∯1133313⪒⪩⨒∯100023⪁⪩⨒∯310020⪒⊣⊆⪩⨒∯202221))=NaN","reverse_text":"NaN=(⪸((≀↧⇸⪩⨒∯130301)⩵∡(∮⪩⨒∯100130)))⪭((∓⪦(⪩⨒∯131032⪇≇⋚⪩⨒∯1200131))⪉⨛(⪩⨒∯1133313⪒⪩⨒∯100023⪁⪩⨒∯310020⪒⊣⊆⪩⨒∯202221))","cot":[{"info":"≀↧⇸⪩⨒∯130301=⪩⨒∯321202","layer":3},{"info":"∮⪩⨒∯100130=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯321202⩵∡⪩⨒∯1003=⪩⨒∯-1303322","layer":2},{"info":"⪸⪩⨒∯-1303322=⪩⨒∯101221122","layer":1},{"info":"⪩⨒∯131032⪇≇⋚⪩⨒∯1200131=⪩⨒∯0","layer":3},{"info":"∓⪦⪩⨒∯0=⪩⨒∯-201013","layer":2},{"info":"⪩⨒∯1133313⪒⪩⨒∯100023=⪩⨒∯-1300002","layer":3},{"info":"⪩⨒∯310020⪒⊣⊆⪩⨒∯202221=⪩⨒∯1220100","layer":3},{"info":"⪩⨒∯-1300002⪁⪩⨒∯1220100=NaN","layer":2},{"info":"⪩⨒∯-201013⪉⨛NaN=NaN","layer":1},{"info":"⪩⨒∯101221122⪭NaN=NaN","layer":0}]}
{"id":444,"expression_no_base_symbol":"(⪸(∂($1068$⨓$1698$)))⊾⪯⋞(↩⪖($2181$⨭⪣$4350$))⫸⊐(⨆≐≲($3318$⊪))","expression":"(⪸(∂(⪩⨒∯100230⨓⪩⨒∯122202)))⊾⪯⋞(↩⪖(⪩⨒∯202011⨭⪣⪩⨒∯1003332))⫸⊐(⨆≐≲(⪩⨒∯303312⊪))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2342,"operation_count":9,"complexity_ratio":260.22222222222223,"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":4},"right_expr":{"type":"numeric_atoms","value":1698,"base":4}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2181,"base":4},"right_expr":{"type":"numeric_atoms","value":4350,"base":4}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3318,"base":4}}}}},"used_operators":["HK0tfVPux8","86A5ENbKR9","Uaa54Peajs","3ViojmjbAp","mqXw5SEYmG","fG6uBQFnGz","kn8WO9XteQ","Bi9z9uYZqW","zVYPLywUTj"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"⪩⨒∯113212","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1698, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1701","layer":3},{"info":"compute unary expreesion, input=-1701, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=1437","layer":2},{"info":"compute unary expreesion, input=1437, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-24220","layer":1},{"info":"number node, value=2181","layer":4},{"info":"number node, value=4350","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=4350, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=902","layer":3},{"info":"compute unary expreesion, input=902, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-8394","layer":2},{"info":"number node, value=3318","layer":4},{"info":"compute unary expreesion, input=3318, 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 = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=-166100","layer":2},{"info":"compute binary expreesion, left_input=-8394, right_input=-166100, 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 binary expreesion, left_input=-24220, right_input=968, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1510","layer":0}],"base":4,"result_base":4,"text":"(⪸(∂(⪩⨒∯100230⨓⪩⨒∯122202)))⊾⪯⋞(↩⪖(⪩⨒∯202011⨭⪣⪩⨒∯1003332))⫸⊐(⨆≐≲(⪩⨒∯303312⊪))=⪩⨒∯113212","reverse_text":"⪩⨒∯113212=(⪸(∂(⪩⨒∯100230⨓⪩⨒∯122202)))⊾⪯⋞(↩⪖(⪩⨒∯202011⨭⪣⪩⨒∯1003332))⫸⊐(⨆≐≲(⪩⨒∯303312⊪))","cot":[{"info":"⪩⨒∯100230⨓⪩⨒∯122202=⪩⨒∯-122211","layer":3},{"info":"∂⪩⨒∯-122211=⪩⨒∯112131","layer":2},{"info":"⪸⪩⨒∯112131=⪩⨒∯-11322130","layer":1},{"info":"⪩⨒∯202011⨭⪣⪩⨒∯1003332=⪩⨒∯32012","layer":3},{"info":"↩⪖⪩⨒∯32012=⪩⨒∯-2003022","layer":2},{"info":"⪩⨒∯303312⊪=⪩⨒∯0","layer":3},{"info":"⨆≐≲⪩⨒∯0=⪩⨒∯-220203110","layer":2},{"info":"⪩⨒∯-2003022⫸⊐⪩⨒∯-220203110=⪩⨒∯33020","layer":1},{"info":"⪩⨒∯-11322130⊾⪯⋞⪩⨒∯33020=⪩⨒∯113212","layer":0}]}
{"id":445,"expression_no_base_symbol":"(($3540$⇷$2484$⇼⇔∾$5015$≬⇓$3031$)⇮⋭($2959$+⇶⊼$1099$)≁($2119$↓$2096$))∳⫺((⨵≀≌$3753$)⨸(⪸$5311$))≎⪠($2428$⋹⋡⊁$2287$↺(⇉-⫰$1904$))","expression":"((⪩⨒∯313110⇷⪩⨒∯212310⇼⇔∾⪩⨒∯1032113≬⇓⪩⨒∯233113)⇮⋭(⪩⨒∯232033+⇶⊼⪩⨒∯101023)≁(⪩⨒∯201013↓⪩⨒∯200300))∳⫺((⨵≀≌⪩⨒∯322221)⨸(⪸⪩⨒∯1102333))≎⪠(⪩⨒∯211330⋹⋡⊁⪩⨒∯203233↺(⇉-⫰⪩⨒∯131300))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":172375,"operation_count":15,"complexity_ratio":11491.666666666666,"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":3540,"base":4},"right_expr":{"type":"numeric_atoms","value":2484,"base":4}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5015,"base":4},"right_expr":{"type":"numeric_atoms","value":3031,"base":4}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2959,"base":4},"right_expr":{"type":"numeric_atoms","value":1099,"base":4}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2119,"base":4},"right_expr":{"type":"numeric_atoms","value":2096,"base":4}}}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3753,"base":4}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":5311,"base":4}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2428,"base":4},"right_expr":{"type":"numeric_atoms","value":2287,"base":4}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":1904,"base":4}}}}},"used_operators":["AzXXKTstlj","vkpjKywKVM","tifHPKVTfV","mp7IySMOzn","jWTQ2TZYIH","8N2wDY1A35","TpPTUOHfaN","Af076pWI7l","aNhz54LH3e","KmoU8R5UQR","srAu1WTS94","86A5ENbKR9","7j4O788W3g","As8RqfVLgs","IGFM8TAlm9"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","AHs5Up7iyr","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","eH2TOUuTDT","eewbuw0ToL"],"result":"⪩⨒∯-21132002","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3540","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=3540, right_input=2484, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4968","layer":3},{"info":"number node, value=5015","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=5015, right_input=3031, 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=4968, right_input=-22, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4990","layer":2},{"info":"number node, value=2959","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=2959, right_input=1099, 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=2119","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=2096, 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 = 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=-4990, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=3753","layer":4},{"info":"compute unary expreesion, input=3753, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11259","layer":3},{"info":"number node, value=5311","layer":4},{"info":"compute unary expreesion, input=5311, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-90078","layer":3},{"info":"compute binary expreesion, left_input=-11259, right_input=-90078, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=22518","layer":2},{"info":"number node, value=2428","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=2287, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3037","layer":3},{"info":"number node, value=1904","layer":4},{"info":"compute unary expreesion, input=1904, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=3037, right_input=20, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=20","layer":2},{"info":"compute binary expreesion, left_input=22518, right_input=20, 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=67, right_input=19558, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-38786","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯313110⇷⪩⨒∯212310⇼⇔∾⪩⨒∯1032113≬⇓⪩⨒∯233113)⇮⋭(⪩⨒∯232033+⇶⊼⪩⨒∯101023)≁(⪩⨒∯201013↓⪩⨒∯200300))∳⫺((⨵≀≌⪩⨒∯322221)⨸(⪸⪩⨒∯1102333))≎⪠(⪩⨒∯211330⋹⋡⊁⪩⨒∯203233↺(⇉-⫰⪩⨒∯131300))=⪩⨒∯-21132002","reverse_text":"⪩⨒∯-21132002=((⪩⨒∯313110⇷⪩⨒∯212310⇼⇔∾⪩⨒∯1032113≬⇓⪩⨒∯233113)⇮⋭(⪩⨒∯232033+⇶⊼⪩⨒∯101023)≁(⪩⨒∯201013↓⪩⨒∯200300))∳⫺((⨵≀≌⪩⨒∯322221)⨸(⪸⪩⨒∯1102333))≎⪠(⪩⨒∯211330⋹⋡⊁⪩⨒∯203233↺(⇉-⫰⪩⨒∯131300))","cot":[{"info":"⪩⨒∯313110⇷⪩⨒∯212310=⪩⨒∯1031220","layer":3},{"info":"⪩⨒∯1032113≬⇓⪩⨒∯233113=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯1031220⇼⇔∾⪩⨒∯-112=⪩⨒∯-1031332","layer":2},{"info":"⪩⨒∯232033+⇶⊼⪩⨒∯101023=NaN","layer":3},{"info":"⪩⨒∯201013↓⪩⨒∯200300=⪩⨒∯-2012","layer":3},{"info":"NaN≁⪩⨒∯-2012=NaN","layer":2},{"info":"⪩⨒∯-1031332⇮⋭NaN=⪩⨒∯1003","layer":1},{"info":"⨵≀≌⪩⨒∯322221=⪩⨒∯-2233323","layer":3},{"info":"⪸⪩⨒∯1102333=⪩⨒∯-111333132","layer":3},{"info":"⪩⨒∯-2233323⨸⪩⨒∯-111333132=⪩⨒∯11133312","layer":2},{"info":"⪩⨒∯211330⋹⋡⊁⪩⨒∯203233=⪩⨒∯233131","layer":3},{"info":"⇉-⫰⪩⨒∯131300=⪩⨒∯110","layer":3},{"info":"⪩⨒∯233131↺⪩⨒∯110=⪩⨒∯110","layer":2},{"info":"⪩⨒∯11133312≎⪠⪩⨒∯110=⪩⨒∯10301212","layer":1},{"info":"⪩⨒∯1003∳⫺⪩⨒∯10301212=⪩⨒∯-21132002","layer":0}]}
{"id":446,"expression_no_base_symbol":"⨩∲⋌(($2916$∛$1919$⨻⩈⩔$4228$⫁$1503$)+⪬∐(↔$5210$⇤$1102$))","expression":"⨩∲⋌((⪩⨒∯231210∛⪩⨒∯131333⨻⩈⩔⪩⨒∯1002010⫁⪩⨒∯113133)+⪬∐(↔⪩⨒∯1101122⇤⪩⨒∯101032))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":308,"operation_count":7,"complexity_ratio":44.0,"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":2916,"base":4},"right_expr":{"type":"numeric_atoms","value":1919,"base":4}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4228,"base":4},"right_expr":{"type":"numeric_atoms","value":1503,"base":4}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":5210,"base":4},"right_expr":{"type":"numeric_atoms","value":1102,"base":4}}}}},"used_operators":["aSik1wnThz","2GS7woTJqF","nEsXyWgiOK","w2537kitQq","0ajvFaJAv0","ruOEQAzv1W","YSKBFp38Pu"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","g55IO6H4Gj","D4vGDi5EA2","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","cHh1gJQ2o6","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⪩⨒∯-100111","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2916","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=1919, 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=4228","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=4228, right_input=1503, 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=-670, 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=5210","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=5210, right_input=1102, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-28712","layer":3},{"info":"compute unary expreesion, input=-28712, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=-134, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=522","layer":1},{"info":"compute unary expreesion, input=522, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-1045","layer":0}],"base":4,"result_base":4,"text":"⨩∲⋌((⪩⨒∯231210∛⪩⨒∯131333⨻⩈⩔⪩⨒∯1002010⫁⪩⨒∯113133)+⪬∐(↔⪩⨒∯1101122⇤⪩⨒∯101032))=⪩⨒∯-100111","reverse_text":"⪩⨒∯-100111=⨩∲⋌((⪩⨒∯231210∛⪩⨒∯131333⨻⩈⩔⪩⨒∯1002010⫁⪩⨒∯113133)+⪬∐(↔⪩⨒∯1101122⇤⪩⨒∯101032))","cot":[{"info":"⪩⨒∯231210∛⪩⨒∯131333=⪩⨒∯-22132","layer":3},{"info":"⪩⨒∯1002010⫁⪩⨒∯113133=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-22132⨻⩈⩔⪩⨒∯2200=⪩⨒∯-2232","layer":2},{"info":"⪩⨒∯1101122⇤⪩⨒∯101032=⪩⨒∯-13000220","layer":3},{"info":"↔⪩⨒∯-13000220=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯-2232+⪬∐⪩⨒∯-2012=⪩⨒∯20022","layer":1},{"info":"⨩∲⋌⪩⨒∯20022=⪩⨒∯-100111","layer":0}]}
{"id":447,"expression_no_base_symbol":"(-($1006$∕⩚$1828$)⨓($1369$⨁⊸⫻))↠","expression":"(-(⪩⨒∯33232∕⩚⪩⨒∯130210)⨓(⪩⨒∯111121⨁⊸⫻))↠","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2414,"operation_count":5,"complexity_ratio":482.8,"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":1006,"base":4},"right_expr":{"type":"numeric_atoms","value":1828,"base":4}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1369,"base":4}}}}},"used_operators":["LBdsKIvxzf","t8gj7n24qd","3ViojmjbAp","z9ffQ9n5Zr","glklzrTFfD"],"dependent_operators":["d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪩⨒∯-12333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=1828, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1009","layer":3},{"info":"number node, value=1369","layer":4},{"info":"compute unary expreesion, input=1369, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1369","layer":3},{"info":"compute binary expreesion, left_input=-1009, right_input=1369, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1372","layer":2},{"info":"compute unary expreesion, input=-1372, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1372","layer":1},{"info":"compute unary expreesion, input=1372, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":0}],"base":4,"result_base":4,"text":"(-(⪩⨒∯33232∕⩚⪩⨒∯130210)⨓(⪩⨒∯111121⨁⊸⫻))↠=⪩⨒∯-12333","reverse_text":"⪩⨒∯-12333=(-(⪩⨒∯33232∕⩚⪩⨒∯130210)⨓(⪩⨒∯111121⨁⊸⫻))↠","cot":[{"info":"⪩⨒∯33232∕⩚⪩⨒∯130210=⪩⨒∯-33301","layer":3},{"info":"⪩⨒∯111121⨁⊸⫻=⪩⨒∯111121","layer":3},{"info":"⪩⨒∯-33301⨓⪩⨒∯111121=⪩⨒∯-111130","layer":2},{"info":"-⪩⨒∯-111130=⪩⨒∯111130","layer":1},{"info":"⪩⨒∯111130↠=⪩⨒∯-12333","layer":0}]}
{"id":448,"expression_no_base_symbol":"(∂($4784$⋻⩜⩜$2546$)⪒⊣⊆($1525$⩁⩘$5530$))⋳⪒($3403$≠≀$1128$)⪝($1903$≧⫂∧$1722$)⪒⊣⊆($3600$⪭$6931$⩟)","expression":"(∂(⪩⨒∯1022300⋻⩜⩜⪩⨒∯213302)⪒⊣⊆(⪩⨒∯113311⩁⩘⪩⨒∯1112122))⋳⪒(⪩⨒∯311023≠≀⪩⨒∯101220)⪝(⪩⨒∯131233≧⫂∧⪩⨒∯122322)⪒⊣⊆(⪩⨒∯320100⪭⪩⨒∯1230103⩟)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":36143,"operation_count":11,"complexity_ratio":3285.7272727272725,"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":4784,"base":4},"right_expr":{"type":"numeric_atoms","value":2546,"base":4}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1525,"base":4},"right_expr":{"type":"numeric_atoms","value":5530,"base":4}}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":3403,"base":4},"right_expr":{"type":"numeric_atoms","value":1128,"base":4}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1903,"base":4},"right_expr":{"type":"numeric_atoms","value":1722,"base":4}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3600,"base":4},"right_expr":{"type":"numeric_atoms","value":6931,"base":4}}}}},"used_operators":["12rbrZMWeM","Uaa54Peajs","eRqsBgTDFp","oDCm7WA9JY","gub5Cegaqo","wicAB68Tmb","IwW236VD4Y","Ph9nP6C5qx","fOIeswaMU4","j9kHMeSvPp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","W4YGzv6Whe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","DpFCA1CohY","IWmyXbctLI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4784","layer":4},{"info":"number node, value=2546","layer":4},{"info":"compute binary expreesion, left_input=4784, right_input=2546, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9568","layer":3},{"info":"number node, value=1525","layer":4},{"info":"number node, value=5530","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=5530, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=23068","layer":3},{"info":"compute binary expreesion, left_input=9568, right_input=23068, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=19136","layer":2},{"info":"compute unary expreesion, input=19136, 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=3403","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=3403, right_input=1128, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-6500","layer":3},{"info":"number node, value=1903","layer":4},{"info":"number node, value=1722","layer":4},{"info":"compute binary expreesion, left_input=1903, right_input=1722, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1249","layer":3},{"info":"compute binary expreesion, left_input=-6500, right_input=1249, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-58837","layer":2},{"info":"number node, value=3600","layer":4},{"info":"number node, value=6931","layer":4},{"info":"compute binary expreesion, left_input=3600, right_input=6931, 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 = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=1182","layer":2},{"info":"compute binary expreesion, left_input=-58837, right_input=1182, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=120140","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=120140, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(∂(⪩⨒∯1022300⋻⩜⩜⪩⨒∯213302)⪒⊣⊆(⪩⨒∯113311⩁⩘⪩⨒∯1112122))⋳⪒(⪩⨒∯311023≠≀⪩⨒∯101220)⪝(⪩⨒∯131233≧⫂∧⪩⨒∯122322)⪒⊣⊆(⪩⨒∯320100⪭⪩⨒∯1230103⩟)=NaN","reverse_text":"NaN=(∂(⪩⨒∯1022300⋻⩜⩜⪩⨒∯213302)⪒⊣⊆(⪩⨒∯113311⩁⩘⪩⨒∯1112122))⋳⪒(⪩⨒∯311023≠≀⪩⨒∯101220)⪝(⪩⨒∯131233≧⫂∧⪩⨒∯122322)⪒⊣⊆(⪩⨒∯320100⪭⪩⨒∯1230103⩟)","cot":[{"info":"⪩⨒∯1022300⋻⩜⩜⪩⨒∯213302=⪩⨒∯2111200","layer":3},{"info":"⪩⨒∯113311⩁⩘⪩⨒∯1112122=⪩⨒∯11220130","layer":3},{"info":"⪩⨒∯2111200⪒⊣⊆⪩⨒∯11220130=⪩⨒∯10223000","layer":2},{"info":"∂⪩⨒∯10223000=NaN","layer":1},{"info":"⪩⨒∯311023≠≀⪩⨒∯101220=⪩⨒∯-1211210","layer":3},{"info":"⪩⨒∯131233≧⫂∧⪩⨒∯122322=⪩⨒∯103201","layer":3},{"info":"⪩⨒∯-1211210⪝⪩⨒∯103201=⪩⨒∯-32113111","layer":2},{"info":"⪩⨒∯320100⪭⪩⨒∯1230103=⪩⨒∯11","layer":3},{"info":"⪩⨒∯11⩟=⪩⨒∯102132","layer":2},{"info":"⪩⨒∯-32113111⪒⊣⊆⪩⨒∯102132=⪩⨒∯131111030","layer":1},{"info":"NaN⋳⪒⪩⨒∯131111030=NaN","layer":0}]}
{"id":449,"expression_no_base_symbol":"$9546$⫯⪬∳$2849$⊨($1154$⊭∹↮)⊋≦⊧(⨛$4800$)≄⊠$2110$∺≝⩲$1078$+(($2506$∖$4144$)⊢($4573$↸$2667$))⪔⊥($4052$⫳≱↱$2457$)↹⊜($3553$↺$2271$)","expression":"⪩⨒∯2111022⫯⪬∳⪩⨒∯230201⊨(⪩⨒∯102002⊭∹↮)⊋≦⊧(⨛⪩⨒∯1023000)≄⊠⪩⨒∯200332∺≝⩲⪩⨒∯100312+((⪩⨒∯213022∖⪩⨒∯1000300)⊢(⪩⨒∯1013131↸⪩⨒∯221223))⪔⊥(⪩⨒∯333110⫳≱↱⪩⨒∯212121)↹⊜(⪩⨒∯313201↺⪩⨒∯203133)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3722,"operation_count":15,"complexity_ratio":248.13333333333333,"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":9546,"base":4},"right_expr":{"type":"numeric_atoms","value":2849,"base":4}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1154,"base":4}}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":4800,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2110,"base":4},"right_expr":{"type":"numeric_atoms","value":1078,"base":4}}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2506,"base":4},"right_expr":{"type":"numeric_atoms","value":4144,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":4573,"base":4},"right_expr":{"type":"numeric_atoms","value":2667,"base":4}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":4052,"base":4},"right_expr":{"type":"numeric_atoms","value":2457,"base":4}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3553,"base":4},"right_expr":{"type":"numeric_atoms","value":2271,"base":4}}}}},"used_operators":["W4YGzv6Whe","oRDoc9rAEX","vg4gO5BX6G","d7ASUq0ydm","xNBdhnnwKq","vXNesLlMH1","CoMdbyAt7R","KPf6cnQVty","HJ9erzHUuu","5twsqlHp2o","tXD093vOjl","1eCjFl0mb9","9bazX3JMtO","ZvLB05nZmT","7j4O788W3g"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯-122311","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=9546","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=9546, right_input=2849, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=44914","layer":3},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2308","layer":3},{"info":"compute binary expreesion, left_input=44914, right_input=2308, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=180687","layer":2},{"info":"number node, value=4800","layer":4},{"info":"compute unary expreesion, input=4800, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=2110","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=1078, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, 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":2},{"info":"compute binary expreesion, left_input=180687, right_input=1500, 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=-2760","layer":1},{"info":"number node, value=2506","layer":4},{"info":"number node, value=4144","layer":4},{"info":"compute binary expreesion, left_input=2506, right_input=4144, 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=4573","layer":4},{"info":"number node, value=2667","layer":4},{"info":"compute binary expreesion, left_input=4573, right_input=2667, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=4573","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4573, 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":"number node, value=4052","layer":4},{"info":"number node, value=2457","layer":4},{"info":"compute binary expreesion, left_input=4052, right_input=2457, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=3553","layer":4},{"info":"number node, value=2271","layer":4},{"info":"compute binary expreesion, left_input=3553, right_input=2271, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2271","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=2271, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-18264","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-18264, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1043","layer":1},{"info":"compute binary expreesion, left_input=-2760, right_input=1043, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1717","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯2111022⫯⪬∳⪩⨒∯230201⊨(⪩⨒∯102002⊭∹↮)⊋≦⊧(⨛⪩⨒∯1023000)≄⊠⪩⨒∯200332∺≝⩲⪩⨒∯100312+((⪩⨒∯213022∖⪩⨒∯1000300)⊢(⪩⨒∯1013131↸⪩⨒∯221223))⪔⊥(⪩⨒∯333110⫳≱↱⪩⨒∯212121)↹⊜(⪩⨒∯313201↺⪩⨒∯203133)=⪩⨒∯-122311","reverse_text":"⪩⨒∯-122311=⪩⨒∯2111022⫯⪬∳⪩⨒∯230201⊨(⪩⨒∯102002⊭∹↮)⊋≦⊧(⨛⪩⨒∯1023000)≄⊠⪩⨒∯200332∺≝⩲⪩⨒∯100312+((⪩⨒∯213022∖⪩⨒∯1000300)⊢(⪩⨒∯1013131↸⪩⨒∯221223))⪔⊥(⪩⨒∯333110⫳≱↱⪩⨒∯212121)↹⊜(⪩⨒∯313201↺⪩⨒∯203133)","cot":[{"info":"⪩⨒∯2111022⫯⪬∳⪩⨒∯230201=⪩⨒∯22331302","layer":3},{"info":"⪩⨒∯102002⊭∹↮=⪩⨒∯210010","layer":3},{"info":"⪩⨒∯22331302⊨⪩⨒∯210010=⪩⨒∯230013033","layer":2},{"info":"⨛⪩⨒∯1023000=NaN","layer":3},{"info":"⪩⨒∯200332∺≝⩲⪩⨒∯100312=⪩⨒∯2200","layer":3},{"info":"NaN≄⊠⪩⨒∯2200=⪩⨒∯113130","layer":2},{"info":"⪩⨒∯230013033⊋≦⊧⪩⨒∯113130=⪩⨒∯-223020","layer":1},{"info":"⪩⨒∯213022∖⪩⨒∯1000300=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1013131↸⪩⨒∯221223=⪩⨒∯1013131","layer":3},{"info":"⪩⨒∯0⊢⪩⨒∯1013131=⪩⨒∯-3310","layer":2},{"info":"⪩⨒∯333110⫳≱↱⪩⨒∯212121=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯313201↺⪩⨒∯203133=⪩⨒∯203133","layer":3},{"info":"⪩⨒∯-3030↹⊜⪩⨒∯203133=⪩⨒∯-10131120","layer":2},{"info":"⪩⨒∯-3310⪔⊥⪩⨒∯-10131120=⪩⨒∯100103","layer":1},{"info":"⪩⨒∯-223020+⪩⨒∯100103=⪩⨒∯-122311","layer":0}]}
{"id":450,"expression_no_base_symbol":"⋼∭⪍((($4737$⊓⋫)⨽⪊≇)⩧⪆(≉$2444$⫣⪄⊒$2767$))","expression":"⋼∭⪍(((⪩⨒∯1022001⊓⋫)⨽⪊≇)⩧⪆(≉⪩⨒∯212030⫣⪄⊒⪩⨒∯223033))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":74,"operation_count":6,"complexity_ratio":12.333333333333334,"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":4737,"base":4}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2444,"base":4},"right_expr":{"type":"numeric_atoms","value":2767,"base":4}}}}},"used_operators":["DbCuESL50I","Ikt5ks8PT7","nlCqmYiOvY","IqGBaFP0uj","e1ybzncUwg","RabNbG55vr"],"dependent_operators":["e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","2td37pGCOC","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"⪩⨒∯-23200330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4737","layer":4},{"info":"compute unary expreesion, input=4737, op_id = IqGBaFP0uj, unary_op_definition = 'a⊓⋫ = { (((a⪨≂a)⨳⩥⨓(⩦⩻⨪230))⪒(a⋝⋈⪟(542⫡⨏384))) }', output=-4865","layer":3},{"info":"compute unary expreesion, input=-4865, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-10256","layer":2},{"info":"number node, value=2444","layer":4},{"info":"number node, value=2767","layer":4},{"info":"compute binary expreesion, left_input=2444, right_input=2767, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-12226","layer":3},{"info":"compute unary expreesion, input=-12226, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-12226","layer":2},{"info":"compute binary expreesion, left_input=-10256, right_input=-12226, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=12226","layer":1},{"info":"compute unary expreesion, input=12226, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-47164","layer":0}],"base":4,"result_base":4,"text":"⋼∭⪍(((⪩⨒∯1022001⊓⋫)⨽⪊≇)⩧⪆(≉⪩⨒∯212030⫣⪄⊒⪩⨒∯223033))=⪩⨒∯-23200330","reverse_text":"⪩⨒∯-23200330=⋼∭⪍(((⪩⨒∯1022001⊓⋫)⨽⪊≇)⩧⪆(≉⪩⨒∯212030⫣⪄⊒⪩⨒∯223033))","cot":[{"info":"⪩⨒∯1022001⊓⋫=⪩⨒∯-1030001","layer":3},{"info":"⪩⨒∯-1030001⨽⪊≇=⪩⨒∯-2200100","layer":2},{"info":"⪩⨒∯212030⫣⪄⊒⪩⨒∯223033=⪩⨒∯-2333002","layer":3},{"info":"≉⪩⨒∯-2333002=⪩⨒∯-2333002","layer":2},{"info":"⪩⨒∯-2200100⩧⪆⪩⨒∯-2333002=⪩⨒∯2333002","layer":1},{"info":"⋼∭⪍⪩⨒∯2333002=⪩⨒∯-23200330","layer":0}]}
{"id":451,"expression_no_base_symbol":"(((⨵≀≌$3267$)∷$2517$⪔⊥$1082$)⨒($1627$⪕$6019$)⋹⋡⊁(⩒∊$2521$))⇴((⨦⪝($7582$∓⋝$2775$))⋷(+⊝⨔(⪛⨧$1337$)))","expression":"(((⨵≀≌⪩⨒∯303003)∷⪩⨒∯213111⪔⊥⪩⨒∯100322)⨒(⪩⨒∯121123⪕⪩⨒∯1132003)⋹⋡⊁(⩒∊⪩⨒∯213121))⇴((⨦⪝(⪩⨒∯1312132∓⋝⪩⨒∯223113))⋷(+⊝⨔(⪛⨧⪩⨒∯110321)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":63361,"operation_count":13,"complexity_ratio":4873.923076923077,"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":3267,"base":4}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2517,"base":4},"right_expr":{"type":"numeric_atoms","value":1082,"base":4}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1627,"base":4},"right_expr":{"type":"numeric_atoms","value":6019,"base":4}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":2521,"base":4}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":7582,"base":4},"right_expr":{"type":"numeric_atoms","value":2775,"base":4}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1337,"base":4}}}}},"used_operators":["4JB6nKBMSY","y75s1iXyHd","D3AQDKkPcf","srAu1WTS94","HJ9erzHUuu","As8RqfVLgs","umQnsF7QlU","qazvmhNBbN","23Mk6UjR3U","SUjycxNXIR","PoHhknlbAi","DhbWaqg5eL","6NJAcO2OWT"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9FxExcQeMw","NTOWxs364D","7j4O788W3g","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"⪩⨒∯-1001123132","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3267","layer":4},{"info":"compute unary expreesion, input=3267, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9801","layer":3},{"info":"number node, value=2517","layer":4},{"info":"number node, value=1082","layer":4},{"info":"compute binary expreesion, left_input=2517, right_input=1082, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=7705","layer":3},{"info":"compute binary expreesion, left_input=-9801, right_input=7705, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=7705","layer":2},{"info":"number node, value=1627","layer":4},{"info":"number node, value=6019","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=6019, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=2521","layer":4},{"info":"compute unary expreesion, input=2521, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=4285","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=4285, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5035","layer":2},{"info":"compute binary expreesion, left_input=7705, right_input=5035, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-45858","layer":1},{"info":"number node, value=7582","layer":4},{"info":"number node, value=2775","layer":4},{"info":"compute binary expreesion, left_input=7582, right_input=2775, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, 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=1337","layer":4},{"info":"compute unary expreesion, input=1337, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4075","layer":3},{"info":"compute unary expreesion, input=4075, 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=-1884, right_input=1522, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3768","layer":1},{"info":"compute binary expreesion, left_input=-45858, right_input=3768, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-267998","layer":0}],"base":4,"result_base":4,"text":"(((⨵≀≌⪩⨒∯303003)∷⪩⨒∯213111⪔⊥⪩⨒∯100322)⨒(⪩⨒∯121123⪕⪩⨒∯1132003)⋹⋡⊁(⩒∊⪩⨒∯213121))⇴((⨦⪝(⪩⨒∯1312132∓⋝⪩⨒∯223113))⋷(+⊝⨔(⪛⨧⪩⨒∯110321)))=⪩⨒∯-1001123132","reverse_text":"⪩⨒∯-1001123132=(((⨵≀≌⪩⨒∯303003)∷⪩⨒∯213111⪔⊥⪩⨒∯100322)⨒(⪩⨒∯121123⪕⪩⨒∯1132003)⋹⋡⊁(⩒∊⪩⨒∯213121))⇴((⨦⪝(⪩⨒∯1312132∓⋝⪩⨒∯223113))⋷(+⊝⨔(⪛⨧⪩⨒∯110321)))","cot":[{"info":"⨵≀≌⪩⨒∯303003=⪩⨒∯-2121021","layer":3},{"info":"⪩⨒∯213111⪔⊥⪩⨒∯100322=⪩⨒∯1320121","layer":3},{"info":"⪩⨒∯-2121021∷⪩⨒∯1320121=⪩⨒∯1320121","layer":2},{"info":"⪩⨒∯121123⪕⪩⨒∯1132003=⪩⨒∯-313","layer":3},{"info":"⩒∊⪩⨒∯213121=⪩⨒∯1002331","layer":3},{"info":"⪩⨒∯-313⋹⋡⊁⪩⨒∯1002331=⪩⨒∯1032223","layer":2},{"info":"⪩⨒∯1320121⨒⪩⨒∯1032223=⪩⨒∯-23030202","layer":1},{"info":"⪩⨒∯1312132∓⋝⪩⨒∯223113=⪩⨒∯1003","layer":3},{"info":"⨦⪝⪩⨒∯1003=⪩⨒∯-131130","layer":2},{"info":"⪛⨧⪩⨒∯110321=⪩⨒∯333223","layer":3},{"info":"+⊝⨔⪩⨒∯333223=⪩⨒∯113302","layer":2},{"info":"⪩⨒∯-131130⋷⪩⨒∯113302=⪩⨒∯322320","layer":1},{"info":"⪩⨒∯-23030202⇴⪩⨒∯322320=⪩⨒∯-1001123132","layer":0}]}
{"id":452,"expression_no_base_symbol":"((⪲⇎$1549$)⊭↱$3233$∑⇟⊟$2334$⩨(⩒∊$1744$⪒⊣⊆$1532$))⩼⇪↪(((⫶⊄≣$5764$)⫡⨏(≛$1283$))⨔≚≋(∂($1929$≭$6762$)))","expression":"((⪲⇎⪩⨒∯120031)⊭↱⪩⨒∯302201∑⇟⊟⪩⨒∯210132⩨(⩒∊⪩⨒∯123100⪒⊣⊆⪩⨒∯113330))⩼⇪↪(((⫶⊄≣⪩⨒∯1122010)⫡⨏(≛⪩⨒∯110003))⨔≚≋(∂(⪩⨒∯132021≭⪩⨒∯1221222)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5898,"operation_count":13,"complexity_ratio":453.6923076923077,"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":1549,"base":4}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3233,"base":4},"right_expr":{"type":"numeric_atoms","value":2334,"base":4}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1744,"base":4},"right_expr":{"type":"numeric_atoms","value":1532,"base":4}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":5764,"base":4}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1283,"base":4}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1929,"base":4},"right_expr":{"type":"numeric_atoms","value":6762,"base":4}}}}},"used_operators":["ocnLzx9CaJ","2DlMacCsIx","COABgblf1C","XPYlsWDdGa","U7g4x0WXJJ","qazvmhNBbN","eRqsBgTDFp","Z57zeUYC9z","QMFrweE19q","wxb3vTeyAj","W7eaUhjymW","Uaa54Peajs","rxpJgHHUmx"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","sdazOOVcIp","W4YGzv6Whe","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1549","layer":4},{"info":"compute unary expreesion, input=1549, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3098","layer":3},{"info":"number node, value=3233","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=3233, right_input=2334, 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=3098, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1744","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=1532, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3488","layer":3},{"info":"compute unary expreesion, input=3488, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=6219","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6219, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=5764","layer":4},{"info":"compute unary expreesion, input=5764, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=598126969","layer":3},{"info":"number node, value=1283","layer":4},{"info":"compute unary expreesion, input=1283, 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=598126969, right_input=-10, 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=inf","layer":2},{"info":"number node, value=1929","layer":4},{"info":"number node, value=6762","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=6762, 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 = 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=inf, 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 = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪲⇎⪩⨒∯120031)⊭↱⪩⨒∯302201∑⇟⊟⪩⨒∯210132⩨(⩒∊⪩⨒∯123100⪒⊣⊆⪩⨒∯113330))⩼⇪↪(((⫶⊄≣⪩⨒∯1122010)⫡⨏(≛⪩⨒∯110003))⨔≚≋(∂(⪩⨒∯132021≭⪩⨒∯1221222)))=NaN","reverse_text":"NaN=((⪲⇎⪩⨒∯120031)⊭↱⪩⨒∯302201∑⇟⊟⪩⨒∯210132⩨(⩒∊⪩⨒∯123100⪒⊣⊆⪩⨒∯113330))⩼⇪↪(((⫶⊄≣⪩⨒∯1122010)⫡⨏(≛⪩⨒∯110003))⨔≚≋(∂(⪩⨒∯132021≭⪩⨒∯1221222)))","cot":[{"info":"⪲⇎⪩⨒∯120031=⪩⨒∯300122","layer":3},{"info":"⪩⨒∯302201∑⇟⊟⪩⨒∯210132=NaN","layer":3},{"info":"⪩⨒∯300122⊭↱NaN=NaN","layer":2},{"info":"⪩⨒∯123100⪒⊣⊆⪩⨒∯113330=⪩⨒∯312200","layer":3},{"info":"⩒∊⪩⨒∯312200=⪩⨒∯1201023","layer":2},{"info":"NaN⩨⪩⨒∯1201023=NaN","layer":1},{"info":"⫶⊄≣⪩⨒∯1122010=⪩⨒∯203221223011321","layer":3},{"info":"≛⪩⨒∯110003=⪩⨒∯-22","layer":3},{"info":"⪩⨒∯203221223011321⫡⨏⪩⨒∯-22=Inf","layer":2},{"info":"⪩⨒∯132021≭⪩⨒∯1221222=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"Inf⨔≚≋NaN=NaN","layer":1},{"info":"NaN⩼⇪↪NaN=NaN","layer":0}]}
{"id":453,"expression_no_base_symbol":"(↥$6211$⪛⫼$2172$)⨔≚≋(($1211$≬⇓$6823$)⪛⫼$8576$⫘$6849$)∖((∜⨇$1817$)⪨≂$3386$∳⫺$4677$)⊹∫⫚(⊲⪭($6605$⊭↱$6826$))","expression":"(↥⪩⨒∯1201003⪛⫼⪩⨒∯201330)⨔≚≋((⪩⨒∯102323≬⇓⪩⨒∯1222213)⪛⫼⪩⨒∯2012000⫘⪩⨒∯1223001)∖((∜⨇⪩⨒∯130121)⪨≂⪩⨒∯310322∳⫺⪩⨒∯1021011)⊹∫⫚(⊲⪭(⪩⨒∯1213031⊭↱⪩⨒∯1222222))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9452,"operation_count":13,"complexity_ratio":727.0769230769231,"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":6211,"base":4},"right_expr":{"type":"numeric_atoms","value":2172,"base":4}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1211,"base":4},"right_expr":{"type":"numeric_atoms","value":6823,"base":4}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":8576,"base":4},"right_expr":{"type":"numeric_atoms","value":6849,"base":4}}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":1817,"base":4}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3386,"base":4},"right_expr":{"type":"numeric_atoms","value":4677,"base":4}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6605,"base":4},"right_expr":{"type":"numeric_atoms","value":6826,"base":4}}}}},"used_operators":["tXD093vOjl","Z57zeUYC9z","A8NUZmVepG","hyuBjUqXlG","jWTQ2TZYIH","48vC8HMD2b","uWAJUKEvyW","sdazOOVcIp","uFPyJr306J","AzXXKTstlj","k7HXdKtiEU","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","k8jYdgA6NY","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","rysDP5nf3Z","t8gj7n24qd","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6211","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=6211, right_input=2172, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":2},{"info":"number node, value=1211","layer":4},{"info":"number node, value=6823","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=6823, 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=8576","layer":4},{"info":"number node, value=6849","layer":4},{"info":"compute binary expreesion, left_input=8576, right_input=6849, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=10089781","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=10089781, 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 binary expreesion, left_input=50, right_input=968, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-11304","layer":1},{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, 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=3386","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=3386, right_input=4677, 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 = 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=6605","layer":4},{"info":"number node, value=6826","layer":4},{"info":"compute binary expreesion, left_input=6605, right_input=6826, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=447","layer":3},{"info":"compute unary expreesion, input=447, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-621","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-621, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-108","layer":1},{"info":"compute binary expreesion, left_input=-11304, right_input=-108, 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":4,"result_base":4,"text":"(↥⪩⨒∯1201003⪛⫼⪩⨒∯201330)⨔≚≋((⪩⨒∯102323≬⇓⪩⨒∯1222213)⪛⫼⪩⨒∯2012000⫘⪩⨒∯1223001)∖((∜⨇⪩⨒∯130121)⪨≂⪩⨒∯310322∳⫺⪩⨒∯1021011)⊹∫⫚(⊲⪭(⪩⨒∯1213031⊭↱⪩⨒∯1222222))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(↥⪩⨒∯1201003⪛⫼⪩⨒∯201330)⨔≚≋((⪩⨒∯102323≬⇓⪩⨒∯1222213)⪛⫼⪩⨒∯2012000⫘⪩⨒∯1223001)∖((∜⨇⪩⨒∯130121)⪨≂⪩⨒∯310322∳⫺⪩⨒∯1021011)⊹∫⫚(⊲⪭(⪩⨒∯1213031⊭↱⪩⨒∯1222222))","cot":[{"info":"⪩⨒∯1201003⪛⫼⪩⨒∯201330=⪩⨒∯33020","layer":3},{"info":"↥⪩⨒∯33020=⪩⨒∯302","layer":2},{"info":"⪩⨒∯102323≬⇓⪩⨒∯1222213=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯2012000⫘⪩⨒∯1223001=⪩⨒∯212133110311","layer":3},{"info":"⪩⨒∯-112⪛⫼⪩⨒∯212133110311=⪩⨒∯33020","layer":2},{"info":"⪩⨒∯302⨔≚≋⪩⨒∯33020=⪩⨒∯-2300220","layer":1},{"info":"∜⨇⪩⨒∯130121=NaN","layer":3},{"info":"⪩⨒∯310322∳⫺⪩⨒∯1021011=⪩⨒∯-10010","layer":3},{"info":"NaN⪨≂⪩⨒∯-10010=NaN","layer":2},{"info":"⪩⨒∯1213031⊭↱⪩⨒∯1222222=⪩⨒∯12333","layer":3},{"info":"⊲⪭⪩⨒∯12333=⪩⨒∯-21231","layer":2},{"info":"NaN⊹∫⫚⪩⨒∯-21231=⪩⨒∯-1230","layer":1},{"info":"⪩⨒∯-2300220∖⪩⨒∯-1230=⪩⨒∯0","layer":0}]}
{"id":454,"expression_no_base_symbol":"(($1400$⩌⋺$6218$)⨥⫆(↸⊣$1784$)⨪↰⇹(⩩($2429$⩍⋽⫝̸$2139$)))⩖⊿(⇙⪊(($7755$⋭≵$3222$)⋓($1985$⪊≅)))","expression":"((⪩⨒∯111320⩌⋺⪩⨒∯1201022)⨥⫆(↸⊣⪩⨒∯123320)⨪↰⇹(⩩(⪩⨒∯211331⩍⋽⫝̸⪩⨒∯201123)))⩖⊿(⇙⪊((⪩⨒∯1321023⋭≵⪩⨒∯302112)⋓(⪩⨒∯133001⪊≅)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2254,"operation_count":11,"complexity_ratio":204.9090909090909,"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":4},"right_expr":{"type":"numeric_atoms","value":6218,"base":4}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":1784,"base":4}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2429,"base":4},"right_expr":{"type":"numeric_atoms","value":2139,"base":4}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":7755,"base":4},"right_expr":{"type":"numeric_atoms","value":3222,"base":4}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":1985,"base":4}}}}},"used_operators":["RZ5CV9rWsJ","tmPS8pqC7x","yXekIHxTD4","g7Hmc5v1ko","wztAlM01eG","kMhfGuqI2H","BiWNJpBvwn","pB6Fcnrjim","T2fj7uvVaJ","jBncVCNhdl","bjFbhXSADs"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rJVOvQCfKK","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","Ph9nP6C5qx","xUOZtlo3hN","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx"],"result":"⪩⨒∯131322","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1400","layer":4},{"info":"number node, value=6218","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=6218, 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=-7739","layer":3},{"info":"number node, value=1784","layer":4},{"info":"compute unary expreesion, input=1784, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-1497","layer":3},{"info":"compute binary expreesion, left_input=-7739, right_input=-1497, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":2},{"info":"number node, value=2429","layer":4},{"info":"number node, value=2139","layer":4},{"info":"compute binary expreesion, left_input=2429, right_input=2139, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1193","layer":3},{"info":"compute unary expreesion, input=1193, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":2},{"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":1},{"info":"number node, value=7755","layer":4},{"info":"number node, value=3222","layer":4},{"info":"compute binary expreesion, left_input=7755, right_input=3222, 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=1985","layer":4},{"info":"compute unary expreesion, input=1985, 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=67, right_input=0, 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 = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1, right_input=0, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1914","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯111320⩌⋺⪩⨒∯1201022)⨥⫆(↸⊣⪩⨒∯123320)⨪↰⇹(⩩(⪩⨒∯211331⩍⋽⫝̸⪩⨒∯201123)))⩖⊿(⇙⪊((⪩⨒∯1321023⋭≵⪩⨒∯302112)⋓(⪩⨒∯133001⪊≅)))=⪩⨒∯131322","reverse_text":"⪩⨒∯131322=((⪩⨒∯111320⩌⋺⪩⨒∯1201022)⨥⫆(↸⊣⪩⨒∯123320)⨪↰⇹(⩩(⪩⨒∯211331⩍⋽⫝̸⪩⨒∯201123)))⩖⊿(⇙⪊((⪩⨒∯1321023⋭≵⪩⨒∯302112)⋓(⪩⨒∯133001⪊≅)))","cot":[{"info":"⪩⨒∯111320⩌⋺⪩⨒∯1201022=⪩⨒∯-1320323","layer":3},{"info":"↸⊣⪩⨒∯123320=⪩⨒∯-113121","layer":3},{"info":"⪩⨒∯-1320323⨥⫆⪩⨒∯-113121=⪩⨒∯-1","layer":2},{"info":"⪩⨒∯211331⩍⋽⫝̸⪩⨒∯201123=⪩⨒∯102221","layer":3},{"info":"⩩⪩⨒∯102221=NaN","layer":2},{"info":"⪩⨒∯-1⨪↰⇹NaN=⪩⨒∯1","layer":1},{"info":"⪩⨒∯1321023⋭≵⪩⨒∯302112=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯133001⪊≅=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1003⋓⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⇙⪊⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1⩖⊿⪩⨒∯0=⪩⨒∯131322","layer":0}]}
{"id":455,"expression_no_base_symbol":"((⪸($6862$⩷∴$2343$))⩼⇪↪(⋗⩴⪓(∜⨇$2008$)))⫞⩸⩒((($1759$⊝⪿⪼$3908$)⪭$4735$⪮%⊝$3519$)⊉↱≁(($2215$⋻⩜⩜$2015$)⊹∫⫚($2227$⪐)))","expression":"((⪸(⪩⨒∯1223032⩷∴⪩⨒∯210213))⩼⇪↪(⋗⩴⪓(∜⨇⪩⨒∯133120)))⫞⩸⩒(((⪩⨒∯123133⊝⪿⪼⪩⨒∯331010)⪭⪩⨒∯1021333⪮%⊝⪩⨒∯312333)⊉↱≁((⪩⨒∯202213⋻⩜⩜⪩⨒∯133133)⊹∫⫚(⪩⨒∯202303⪐)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":28483,"operation_count":13,"complexity_ratio":2191.0,"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":6862,"base":4},"right_expr":{"type":"numeric_atoms","value":2343,"base":4}}},"right_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2008,"base":4}}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":1759,"base":4},"right_expr":{"type":"numeric_atoms","value":3908,"base":4}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4735,"base":4},"right_expr":{"type":"numeric_atoms","value":3519,"base":4}}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2215,"base":4},"right_expr":{"type":"numeric_atoms","value":2015,"base":4}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2227,"base":4}}}}},"used_operators":["XGcMNugi78","ocnLzx9CaJ","86A5ENbKR9","9FxExcQeMw","nOKPl9n5zu","uFPyJr306J","w2P8NbNXyL","j9kHMeSvPp","3Oe9XWJUTD","IWmyXbctLI","uWAJUKEvyW","oDCm7WA9JY","eH2TOUuTDT"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","COABgblf1C","xUOZtlo3hN","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6862","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=6862, right_input=2343, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9006","layer":3},{"info":"compute unary expreesion, input=9006, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-152893","layer":2},{"info":"number node, value=2008","layer":4},{"info":"compute unary expreesion, input=2008, 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 unary expreesion, input=nan, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-152893, 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":"number node, value=1759","layer":4},{"info":"number node, value=3908","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=3908, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=36317","layer":3},{"info":"number node, value=4735","layer":4},{"info":"number node, value=3519","layer":4},{"info":"compute binary expreesion, left_input=4735, right_input=3519, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9786","layer":3},{"info":"compute binary expreesion, left_input=36317, right_input=9786, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=2215","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=2015, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4430","layer":3},{"info":"number node, value=2227","layer":4},{"info":"compute unary expreesion, input=2227, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4454","layer":3},{"info":"compute binary expreesion, left_input=4430, right_input=4454, 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":2},{"info":"compute binary expreesion, left_input=5, right_input=-4, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=22","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=22, 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":0}],"base":4,"result_base":4,"text":"((⪸(⪩⨒∯1223032⩷∴⪩⨒∯210213))⩼⇪↪(⋗⩴⪓(∜⨇⪩⨒∯133120)))⫞⩸⩒(((⪩⨒∯123133⊝⪿⪼⪩⨒∯331010)⪭⪩⨒∯1021333⪮%⊝⪩⨒∯312333)⊉↱≁((⪩⨒∯202213⋻⩜⩜⪩⨒∯133133)⊹∫⫚(⪩⨒∯202303⪐)))=NaN","reverse_text":"NaN=((⪸(⪩⨒∯1223032⩷∴⪩⨒∯210213))⩼⇪↪(⋗⩴⪓(∜⨇⪩⨒∯133120)))⫞⩸⩒(((⪩⨒∯123133⊝⪿⪼⪩⨒∯331010)⪭⪩⨒∯1021333⪮%⊝⪩⨒∯312333)⊉↱≁((⪩⨒∯202213⋻⩜⩜⪩⨒∯133133)⊹∫⫚(⪩⨒∯202303⪐)))","cot":[{"info":"⪩⨒∯1223032⩷∴⪩⨒∯210213=⪩⨒∯2030232","layer":3},{"info":"⪸⪩⨒∯2030232=⪩⨒∯-211110331","layer":2},{"info":"∜⨇⪩⨒∯133120=NaN","layer":3},{"info":"⋗⩴⪓NaN=NaN","layer":2},{"info":"⪩⨒∯-211110331⩼⇪↪NaN=NaN","layer":1},{"info":"⪩⨒∯123133⊝⪿⪼⪩⨒∯331010=⪩⨒∯20313131","layer":3},{"info":"⪩⨒∯1021333⪮%⊝⪩⨒∯312333=⪩⨒∯2120322","layer":3},{"info":"⪩⨒∯20313131⪭⪩⨒∯2120322=⪩⨒∯11","layer":2},{"info":"⪩⨒∯202213⋻⩜⩜⪩⨒∯133133=⪩⨒∯1011032","layer":3},{"info":"⪩⨒∯202303⪐=⪩⨒∯1011212","layer":3},{"info":"⪩⨒∯1011032⊹∫⫚⪩⨒∯1011212=⪩⨒∯-10","layer":2},{"info":"⪩⨒∯11⊉↱≁⪩⨒∯-10=⪩⨒∯112","layer":1},{"info":"NaN⫞⩸⩒⪩⨒∯112=NaN","layer":0}]}
{"id":456,"expression_no_base_symbol":"(($5198$⨔≚≋$3730$)⊢(⊲⪭$1122$)≠≀((≉$4312$)⫳≱↱($2472$∕⩚$6235$)))⊉↱≁(↥≼⋛(⊗$2969$)∀⇚≩(↓⇌$1345$))","expression":"((⪩⨒∯1101032⨔≚≋⪩⨒∯322102)⊢(⊲⪭⪩⨒∯101202)≠≀((≉⪩⨒∯1003120)⫳≱↱(⪩⨒∯212220∕⩚⪩⨒∯1201123)))⊉↱≁(↥≼⋛(⊗⪩⨒∯232121)∀⇚≩(↓⇌⪩⨒∯111001))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":44506,"operation_count":12,"complexity_ratio":3708.8333333333335,"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":5198,"base":4},"right_expr":{"type":"numeric_atoms","value":3730,"base":4}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":1122,"base":4}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4312,"base":4}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":2472,"base":4},"right_expr":{"type":"numeric_atoms","value":6235,"base":4}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2969,"base":4}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1345,"base":4}}}}},"used_operators":["w2P8NbNXyL","IwW236VD4Y","5twsqlHp2o","Z57zeUYC9z","k7HXdKtiEU","ZvLB05nZmT","e1ybzncUwg","z9ffQ9n5Zr","x5lMkHmzsq","LRNGc0VcxI","RhiyfpczSx","PxpmPgHHJV"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","i8ToyICDmI","xUOZtlo3hN","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","X99M06cbEe","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"⪩⨒∯301021320","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5198","layer":4},{"info":"number node, value=3730","layer":4},{"info":"compute binary expreesion, left_input=5198, right_input=3730, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-1296","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-1296, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-19988","layer":2},{"info":"number node, value=4312","layer":4},{"info":"compute unary expreesion, input=4312, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4843","layer":3},{"info":"number node, value=2472","layer":4},{"info":"number node, value=6235","layer":4},{"info":"compute binary expreesion, left_input=2472, right_input=6235, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2475","layer":3},{"info":"compute binary expreesion, left_input=4843, right_input=-2475, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"compute binary expreesion, left_input=-19988, right_input=-204, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=20071","layer":1},{"info":"number node, value=2969","layer":4},{"info":"compute unary expreesion, input=2969, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-5938","layer":3},{"info":"number node, value=1345","layer":4},{"info":"compute unary expreesion, input=1345, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1345","layer":3},{"info":"compute binary expreesion, left_input=-5938, right_input=1345, 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 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 binary expreesion, left_input=20071, right_input=-113, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=201336","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1101032⨔≚≋⪩⨒∯322102)⊢(⊲⪭⪩⨒∯101202)≠≀((≉⪩⨒∯1003120)⫳≱↱(⪩⨒∯212220∕⩚⪩⨒∯1201123)))⊉↱≁(↥≼⋛(⊗⪩⨒∯232121)∀⇚≩(↓⇌⪩⨒∯111001))=⪩⨒∯301021320","reverse_text":"⪩⨒∯301021320=((⪩⨒∯1101032⨔≚≋⪩⨒∯322102)⊢(⊲⪭⪩⨒∯101202)≠≀((≉⪩⨒∯1003120)⫳≱↱(⪩⨒∯212220∕⩚⪩⨒∯1201123)))⊉↱≁(↥≼⋛(⊗⪩⨒∯232121)∀⇚≩(↓⇌⪩⨒∯111001))","cot":[{"info":"⪩⨒∯1101032⨔≚≋⪩⨒∯322102=⪩⨒∯2122100","layer":3},{"info":"⊲⪭⪩⨒∯101202=⪩⨒∯-110100","layer":3},{"info":"⪩⨒∯2122100⊢⪩⨒∯-110100=⪩⨒∯-10320110","layer":2},{"info":"≉⪩⨒∯1003120=⪩⨒∯1023223","layer":3},{"info":"⪩⨒∯212220∕⩚⪩⨒∯1201123=⪩⨒∯-212223","layer":3},{"info":"⪩⨒∯1023223⫳≱↱⪩⨒∯-212223=⪩⨒∯-3030","layer":2},{"info":"⪩⨒∯-10320110≠≀⪩⨒∯-3030=⪩⨒∯10321213","layer":1},{"info":"⊗⪩⨒∯232121=⪩⨒∯-1130302","layer":3},{"info":"↓⇌⪩⨒∯111001=⪩⨒∯111001","layer":3},{"info":"⪩⨒∯-1130302∀⇚≩⪩⨒∯111001=NaN","layer":2},{"info":"↥≼⋛NaN=⪩⨒∯-1301","layer":1},{"info":"⪩⨒∯10321213⊉↱≁⪩⨒∯-1301=⪩⨒∯301021320","layer":0}]}
{"id":457,"expression_no_base_symbol":"(($8865$⫁⪎$4312$)⋹⋡⊁($1691$⫌⩉⩟$1022$)∀⇚≩($6325$⪛$1322$⫡⨏$4877$∼$2127$))↳∿⪆(($1014$⫲≸⪮$2791$)⩣⫁∢($5123$⊭↱$1890$))∺≝⩲(($1642$⪊≅)⨽$1337$⪛⫼$1808$)","expression":"((⪩⨒∯2022201⫁⪎⪩⨒∯1003120)⋹⋡⊁(⪩⨒∯122123⫌⩉⩟⪩⨒∯33332)∀⇚≩(⪩⨒∯1202311⪛⪩⨒∯110222⫡⨏⪩⨒∯1030031∼⪩⨒∯201033))↳∿⪆((⪩⨒∯33312⫲≸⪮⪩⨒∯223213)⩣⫁∢(⪩⨒∯1100003⊭↱⪩⨒∯131202))∺≝⩲((⪩⨒∯121222⪊≅)⨽⪩⨒∯110321⪛⫼⪩⨒∯130100)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":263502,"operation_count":15,"complexity_ratio":17566.8,"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":8865,"base":4},"right_expr":{"type":"numeric_atoms","value":4312,"base":4}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1691,"base":4},"right_expr":{"type":"numeric_atoms","value":1022,"base":4}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6325,"base":4},"right_expr":{"type":"numeric_atoms","value":1322,"base":4}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4877,"base":4},"right_expr":{"type":"numeric_atoms","value":2127,"base":4}}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1014,"base":4},"right_expr":{"type":"numeric_atoms","value":2791,"base":4}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5123,"base":4},"right_expr":{"type":"numeric_atoms","value":1890,"base":4}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":1642,"base":4}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1337,"base":4},"right_expr":{"type":"numeric_atoms","value":1808,"base":4}}}}},"used_operators":["Cw4SuJJGHO","LRNGc0VcxI","As8RqfVLgs","xRrnTEsQ6j","XIIwhv8d0m","QMFrweE19q","uFcxV4UQCh","DyGG3AbaNP","KPf6cnQVty","JDUIKTTSIa","P3lXMJvFrc","COABgblf1C","8HhzD0ZcuI","bjFbhXSADs","hyuBjUqXlG"],"dependent_operators":["hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","X99M06cbEe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8865","layer":4},{"info":"number node, value=4312","layer":4},{"info":"compute binary expreesion, left_input=8865, right_input=4312, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=4553","layer":3},{"info":"number node, value=1691","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=1022, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=4553, right_input=-50, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=36162","layer":2},{"info":"number node, value=6325","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=6325, right_input=1322, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1037","layer":3},{"info":"number node, value=4877","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=4877, right_input=2127, 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=1037, 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":2},{"info":"compute binary expreesion, left_input=36162, 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=1014","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=2791, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1014","layer":3},{"info":"number node, value=5123","layer":4},{"info":"number node, value=1890","layer":4},{"info":"compute binary expreesion, left_input=5123, right_input=1890, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6461","layer":3},{"info":"compute binary expreesion, left_input=1014, right_input=-6461, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1867","layer":2},{"info":"number node, value=1642","layer":4},{"info":"compute unary expreesion, input=1642, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":3},{"info":"number node, value=1337","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=1808, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1590","layer":2},{"info":"compute binary expreesion, left_input=-1867, right_input=-1590, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯2022201⫁⪎⪩⨒∯1003120)⋹⋡⊁(⪩⨒∯122123⫌⩉⩟⪩⨒∯33332)∀⇚≩(⪩⨒∯1202311⪛⪩⨒∯110222⫡⨏⪩⨒∯1030031∼⪩⨒∯201033))↳∿⪆((⪩⨒∯33312⫲≸⪮⪩⨒∯223213)⩣⫁∢(⪩⨒∯1100003⊭↱⪩⨒∯131202))∺≝⩲((⪩⨒∯121222⪊≅)⨽⪩⨒∯110321⪛⫼⪩⨒∯130100)=NaN","reverse_text":"NaN=((⪩⨒∯2022201⫁⪎⪩⨒∯1003120)⋹⋡⊁(⪩⨒∯122123⫌⩉⩟⪩⨒∯33332)∀⇚≩(⪩⨒∯1202311⪛⪩⨒∯110222⫡⨏⪩⨒∯1030031∼⪩⨒∯201033))↳∿⪆((⪩⨒∯33312⫲≸⪮⪩⨒∯223213)⩣⫁∢(⪩⨒∯1100003⊭↱⪩⨒∯131202))∺≝⩲((⪩⨒∯121222⪊≅)⨽⪩⨒∯110321⪛⫼⪩⨒∯130100)","cot":[{"info":"⪩⨒∯2022201⫁⪎⪩⨒∯1003120=⪩⨒∯1013021","layer":3},{"info":"⪩⨒∯122123⫌⩉⩟⪩⨒∯33332=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯1013021⋹⋡⊁⪩⨒∯-302=⪩⨒∯20311002","layer":2},{"info":"⪩⨒∯1202311⪛⪩⨒∯110222=⪩⨒∯100031","layer":3},{"info":"⪩⨒∯1030031∼⪩⨒∯201033=NaN","layer":3},{"info":"⪩⨒∯100031⫡⨏NaN=NaN","layer":2},{"info":"⪩⨒∯20311002∀⇚≩NaN=NaN","layer":1},{"info":"⪩⨒∯33312⫲≸⪮⪩⨒∯223213=⪩⨒∯33312","layer":3},{"info":"⪩⨒∯1100003⊭↱⪩⨒∯131202=⪩⨒∯-1210331","layer":3},{"info":"⪩⨒∯33312⩣⫁∢⪩⨒∯-1210331=⪩⨒∯-131023","layer":2},{"info":"⪩⨒∯121222⪊≅=⪩⨒∯0","layer":3},{"info":"⪩⨒∯110321⪛⫼⪩⨒∯130100=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯0⨽⪩⨒∯33020=⪩⨒∯-120312","layer":2},{"info":"⪩⨒∯-131023∺≝⩲⪩⨒∯-120312=⪩⨒∯2200","layer":1},{"info":"NaN↳∿⪆⪩⨒∯2200=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"⇾⩊⇾((⇠$6669$)≦↸($2413$∠⫱$3188$)⪢($1252$⊮⊟↴$2296$∠⫱$2310$≳⇉$2668$))","expression":"⇾⩊⇾((⇠⪩⨒∯1220031)≦↸(⪩⨒∯211231∠⫱⪩⨒∯301310)⪢(⪩⨒∯103210⊮⊟↴⪩⨒∯203320∠⫱⪩⨒∯210012≳⇉⪩⨒∯221230))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":77441995,"operation_count":8,"complexity_ratio":9680249.375,"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":6669,"base":4}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":2413,"base":4},"right_expr":{"type":"numeric_atoms","value":3188,"base":4}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1252,"base":4},"right_expr":{"type":"numeric_atoms","value":2296,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2310,"base":4},"right_expr":{"type":"numeric_atoms","value":2668,"base":4}}}}},"used_operators":["bx9Z9DAK5y","dWAJyo7jo9","RygbFNSyEJ","18saOjeKKm","QvoQhV0rrE","QDVgd2eftb","V0kx6qeWkN"],"dependent_operators":["W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","k8jYdgA6NY","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6669","layer":4},{"info":"compute unary expreesion, input=6669, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-6427","layer":3},{"info":"number node, value=2413","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=3188, 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=-6427, right_input=1234, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=11067","layer":2},{"info":"number node, value=1252","layer":4},{"info":"number node, value=2296","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=2296, 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=2310","layer":4},{"info":"number node, value=2668","layer":4},{"info":"compute binary expreesion, left_input=2310, right_input=2668, 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=0, 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":"compute binary expreesion, left_input=11067, 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 = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇾⩊⇾((⇠⪩⨒∯1220031)≦↸(⪩⨒∯211231∠⫱⪩⨒∯301310)⪢(⪩⨒∯103210⊮⊟↴⪩⨒∯203320∠⫱⪩⨒∯210012≳⇉⪩⨒∯221230))=NaN","reverse_text":"NaN=⇾⩊⇾((⇠⪩⨒∯1220031)≦↸(⪩⨒∯211231∠⫱⪩⨒∯301310)⪢(⪩⨒∯103210⊮⊟↴⪩⨒∯203320∠⫱⪩⨒∯210012≳⇉⪩⨒∯221230))","cot":[{"info":"⇠⪩⨒∯1220031=⪩⨒∯-1210123","layer":3},{"info":"⪩⨒∯211231∠⫱⪩⨒∯301310=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-1210123≦↸⪩⨒∯103102=⪩⨒∯2230323","layer":2},{"info":"⪩⨒∯103210⊮⊟↴⪩⨒∯203320=⪩⨒∯0","layer":3},{"info":"⪩⨒∯210012≳⇉⪩⨒∯221230=NaN","layer":3},{"info":"⪩⨒∯0∠⫱NaN=NaN","layer":2},{"info":"⪩⨒∯2230323⪢NaN=NaN","layer":1},{"info":"⇾⩊⇾NaN=NaN","layer":0}]}
{"id":459,"expression_no_base_symbol":"(($2190$↢$4518$)≌($4094$⪹)⪛⫼($4232$⩷∴$3045$)⋕⪉⪜($1393$⇪⋭))⊋≦⊧((⩪∧⨌$4397$)∌↝($5845$⨳⩥⨓$2448$)⨴∎)","expression":"((⪩⨒∯202032↢⪩⨒∯1012212)≌(⪩⨒∯333332⪹)⪛⫼(⪩⨒∯1002020⩷∴⪩⨒∯233211)⋕⪉⪜(⪩⨒∯111301⇪⋭))⊋≦⊧((⩪∧⨌⪩⨒∯1010231)∌↝(⪩⨒∯1123111⨳⩥⨓⪩⨒∯212100)⨴∎)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":100967,"operation_count":12,"complexity_ratio":8413.916666666666,"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":2190,"base":4},"right_expr":{"type":"numeric_atoms","value":4518,"base":4}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4094,"base":4}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4232,"base":4},"right_expr":{"type":"numeric_atoms","value":3045,"base":4}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"numeric_atoms","value":1393,"base":4}}}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":4397,"base":4}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5845,"base":4},"right_expr":{"type":"numeric_atoms","value":2448,"base":4}}}}},"used_operators":["oRDoc9rAEX","hyuBjUqXlG","lyWz822IDG","WR6HLWljOP","B3sABdIn96","z6LnFrNh4i","9FxExcQeMw","Z8Yg6dlDSp","CpSg5vQTgA","9Isq31Ruls","6iOiAJX1F8","nCS4ZIUYfx"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2190","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=2190, right_input=4518, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=1706","layer":3},{"info":"number node, value=4094","layer":4},{"info":"compute unary expreesion, input=4094, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=12680","layer":3},{"info":"compute binary expreesion, left_input=1706, right_input=12680, 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=4232","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=3045, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2342","layer":3},{"info":"number node, value=1393","layer":4},{"info":"compute unary expreesion, input=1393, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2342, 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 = 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=4397","layer":4},{"info":"compute unary expreesion, input=4397, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=43970","layer":3},{"info":"number node, value=5845","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=5845, right_input=2448, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3397","layer":3},{"info":"compute binary expreesion, left_input=43970, right_input=-3397, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=87940","layer":2},{"info":"compute unary expreesion, input=87940, 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=968, 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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯202032↢⪩⨒∯1012212)≌(⪩⨒∯333332⪹)⪛⫼(⪩⨒∯1002020⩷∴⪩⨒∯233211)⋕⪉⪜(⪩⨒∯111301⇪⋭))⊋≦⊧((⩪∧⨌⪩⨒∯1010231)∌↝(⪩⨒∯1123111⨳⩥⨓⪩⨒∯212100)⨴∎)=NaN","reverse_text":"NaN=((⪩⨒∯202032↢⪩⨒∯1012212)≌(⪩⨒∯333332⪹)⪛⫼(⪩⨒∯1002020⩷∴⪩⨒∯233211)⋕⪉⪜(⪩⨒∯111301⇪⋭))⊋≦⊧((⩪∧⨌⪩⨒∯1010231)∌↝(⪩⨒∯1123111⨳⩥⨓⪩⨒∯212100)⨴∎)","cot":[{"info":"⪩⨒∯202032↢⪩⨒∯1012212=⪩⨒∯122222","layer":3},{"info":"⪩⨒∯333332⪹=⪩⨒∯3012020","layer":3},{"info":"⪩⨒∯122222≌⪩⨒∯3012020=NaN","layer":2},{"info":"⪩⨒∯1002020⩷∴⪩⨒∯233211=⪩⨒∯210212","layer":3},{"info":"⪩⨒∯111301⇪⋭=NaN","layer":3},{"info":"⪩⨒∯210212⋕⪉⪜NaN=⪩⨒∯3030","layer":2},{"info":"NaN⪛⫼⪩⨒∯3030=⪩⨒∯33020","layer":1},{"info":"⩪∧⨌⪩⨒∯1010231=⪩⨒∯22233002","layer":3},{"info":"⪩⨒∯1123111⨳⩥⨓⪩⨒∯212100=⪩⨒∯-311011","layer":3},{"info":"⪩⨒∯22233002∌↝⪩⨒∯-311011=⪩⨒∯111132010","layer":2},{"info":"⪩⨒∯111132010⨴∎=NaN","layer":1},{"info":"⪩⨒∯33020⊋≦⊧NaN=NaN","layer":0}]}
{"id":460,"expression_no_base_symbol":"(⫇(→⩰$2221$))⨥⫆(⨵($2045$≀⩗∶$3605$))⩒⫫($2246$⩨$5335$⇼⇔∾($3038$⇚⪠))⪛($2860$⪇≇⋚$1849$)⩍⋽⫝̸($2354$∇⊂⋱$1066$)","expression":"(⫇(→⩰⪩⨒∯202231))⨥⫆(⨵(⪩⨒∯133331≀⩗∶⪩⨒∯320111))⩒⫫(⪩⨒∯203012⩨⪩⨒∯1103113⇼⇔∾(⪩⨒∯233132⇚⪠))⪛(⪩⨒∯230230⪇≇⋚⪩⨒∯130321)⩍⋽⫝̸(⪩⨒∯210302∇⊂⋱⪩⨒∯100222)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11550,"operation_count":13,"complexity_ratio":888.4615384615385,"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":2221,"base":4}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":2045,"base":4},"right_expr":{"type":"numeric_atoms","value":3605,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2246,"base":4},"right_expr":{"type":"numeric_atoms","value":5335,"base":4}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"numeric_atoms","value":3038,"base":4}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":2860,"base":4},"right_expr":{"type":"numeric_atoms","value":1849,"base":4}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":2354,"base":4},"right_expr":{"type":"numeric_atoms","value":1066,"base":4}}}}},"used_operators":["KFSx94NKJn","yXekIHxTD4","YjI8oCXuph","o8Pngz0Tml","Tl3Y52tvF8","8INZBEW696","uFcxV4UQCh","tifHPKVTfV","2DlMacCsIx","Loh9y4A90B","BiWNJpBvwn","3sJ7IOPOlU","nhYeJWJD5X"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","Ph9nP6C5qx","xUOZtlo3hN","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2221","layer":4},{"info":"compute unary expreesion, input=2221, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', 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":"number node, value=2045","layer":4},{"info":"number node, value=3605","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=3605, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=2927","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2927, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":1},{"info":"number node, value=2246","layer":4},{"info":"number node, value=5335","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=5335, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=3038","layer":4},{"info":"compute unary expreesion, input=3038, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=18458888","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=18458888, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=18458894","layer":2},{"info":"number node, value=2860","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=1849, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2354","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=2354, right_input=1066, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4162","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4162, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3216","layer":2},{"info":"compute binary expreesion, left_input=18458894, right_input=3216, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2270","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2270, 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":4,"result_base":4,"text":"(⫇(→⩰⪩⨒∯202231))⨥⫆(⨵(⪩⨒∯133331≀⩗∶⪩⨒∯320111))⩒⫫(⪩⨒∯203012⩨⪩⨒∯1103113⇼⇔∾(⪩⨒∯233132⇚⪠))⪛(⪩⨒∯230230⪇≇⋚⪩⨒∯130321)⩍⋽⫝̸(⪩⨒∯210302∇⊂⋱⪩⨒∯100222)=NaN","reverse_text":"NaN=(⫇(→⩰⪩⨒∯202231))⨥⫆(⨵(⪩⨒∯133331≀⩗∶⪩⨒∯320111))⩒⫫(⪩⨒∯203012⩨⪩⨒∯1103113⇼⇔∾(⪩⨒∯233132⇚⪠))⪛(⪩⨒∯230230⪇≇⋚⪩⨒∯130321)⩍⋽⫝̸(⪩⨒∯210302∇⊂⋱⪩⨒∯100222)","cot":[{"info":"→⩰⪩⨒∯202231=NaN","layer":3},{"info":"⫇NaN=NaN","layer":2},{"info":"⪩⨒∯133331≀⩗∶⪩⨒∯320111=⪩⨒∯-3","layer":3},{"info":"⨵⪩⨒∯-3=⪩⨒∯231233","layer":2},{"info":"NaN⨥⫆⪩⨒∯231233=NaN","layer":1},{"info":"⪩⨒∯203012⩨⪩⨒∯1103113=⪩⨒∯-12","layer":3},{"info":"⪩⨒∯233132⇚⪠=⪩⨒∯1012122210020","layer":3},{"info":"⪩⨒∯-12⇼⇔∾⪩⨒∯1012122210020=⪩⨒∯1012122210032","layer":2},{"info":"⪩⨒∯230230⪇≇⋚⪩⨒∯130321=⪩⨒∯0","layer":3},{"info":"⪩⨒∯210302∇⊂⋱⪩⨒∯100222=⪩⨒∯1001002","layer":3},{"info":"⪩⨒∯0⩍⋽⫝̸⪩⨒∯1001002=⪩⨒∯302100","layer":2},{"info":"⪩⨒∯1012122210032⪛⪩⨒∯302100=⪩⨒∯203132","layer":1},{"info":"NaN⩒⫫⪩⨒∯203132=NaN","layer":0}]}
{"id":461,"expression_no_base_symbol":"(⩷$3984$)⫗⊷⫓($5580$⇂≾⫗$3428$)⫣⪄⊒(⊖∈(≘$4119$))/($3661$⪛⫼$1586$)≒∊(⇺⋃$1550$)≬⋮((⫖→$2286$)⪁$6700$⩌⋺$2213$)","expression":"(⩷⪩⨒∯332100)⫗⊷⫓(⪩⨒∯1113030⇂≾⫗⪩⨒∯311210)⫣⪄⊒(⊖∈(≘⪩⨒∯1000113))/(⪩⨒∯321031⪛⫼⪩⨒∯120302)≒∊(⇺⋃⪩⨒∯120032)≬⋮((⫖→⪩⨒∯203232)⪁⪩⨒∯1220230⩌⋺⪩⨒∯202211)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":99867,"operation_count":14,"complexity_ratio":7133.357142857143,"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":3984,"base":4}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":5580,"base":4},"right_expr":{"type":"numeric_atoms","value":3428,"base":4}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4119,"base":4}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3661,"base":4},"right_expr":{"type":"numeric_atoms","value":1586,"base":4}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1550,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":2286,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":6700,"base":4},"right_expr":{"type":"numeric_atoms","value":2213,"base":4}}}}},"used_operators":["XhwjNDsVaA","RabNbG55vr","zashukvMKz","1h0rLqGiFr","aBQ6xLxuTc","YFxL8Sc2Zy","tcjXMdvYtA","kbkesczE7y","5KTvxBwnZo","hyuBjUqXlG","E5v5B3UAjG","I7sXao9hZE","U4ylXWHChL","g7Hmc5v1ko"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3984","layer":4},{"info":"compute unary expreesion, input=3984, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-47887","layer":3},{"info":"number node, value=5580","layer":4},{"info":"number node, value=3428","layer":4},{"info":"compute binary expreesion, left_input=5580, right_input=3428, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-47887, right_input=-676, 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=4119","layer":4},{"info":"compute unary expreesion, input=4119, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=9083179","layer":3},{"info":"compute unary expreesion, input=9083179, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=181657986","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=181657986, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1089948696","layer":1},{"info":"number node, value=3661","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=3661, right_input=1586, 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=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":2},{"info":"number node, value=2286","layer":4},{"info":"compute unary expreesion, input=2286, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"number node, value=6700","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=6700, right_input=2213, 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=-9034","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-9034, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=-1089948696, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⩷⪩⨒∯332100)⫗⊷⫓(⪩⨒∯1113030⇂≾⫗⪩⨒∯311210)⫣⪄⊒(⊖∈(≘⪩⨒∯1000113))/(⪩⨒∯321031⪛⫼⪩⨒∯120302)≒∊(⇺⋃⪩⨒∯120032)≬⋮((⫖→⪩⨒∯203232)⪁⪩⨒∯1220230⩌⋺⪩⨒∯202211)=NaN","reverse_text":"NaN=(⩷⪩⨒∯332100)⫗⊷⫓(⪩⨒∯1113030⇂≾⫗⪩⨒∯311210)⫣⪄⊒(⊖∈(≘⪩⨒∯1000113))/(⪩⨒∯321031⪛⫼⪩⨒∯120302)≒∊(⇺⋃⪩⨒∯120032)≬⋮((⫖→⪩⨒∯203232)⪁⪩⨒∯1220230⩌⋺⪩⨒∯202211)","cot":[{"info":"⩷⪩⨒∯332100=⪩⨒∯-23230033","layer":3},{"info":"⪩⨒∯1113030⇂≾⫗⪩⨒∯311210=⪩⨒∯-22210","layer":3},{"info":"⪩⨒∯-23230033⫗⊷⫓⪩⨒∯-22210=⪩⨒∯-2012","layer":2},{"info":"≘⪩⨒∯1000113=⪩⨒∯202221210223","layer":3},{"info":"⊖∈⪩⨒∯202221210223=⪩⨒∯22310332012002","layer":2},{"info":"⪩⨒∯-2012⫣⪄⊒⪩⨒∯22310332012002=⪩⨒∯-1000331310300120","layer":1},{"info":"⪩⨒∯321031⪛⫼⪩⨒∯120302=⪩⨒∯33020","layer":3},{"info":"⇺⋃⪩⨒∯120032=NaN","layer":3},{"info":"⪩⨒∯33020≒∊NaN=NaN","layer":2},{"info":"⫖→⪩⨒∯203232=⪩⨒∯2301","layer":3},{"info":"⪩⨒∯1220230⩌⋺⪩⨒∯202211=⪩⨒∯-2031022","layer":3},{"info":"⪩⨒∯2301⪁⪩⨒∯-2031022=NaN","layer":2},{"info":"NaN≬⋮NaN=NaN","layer":1},{"info":"⪩⨒∯-1000331310300120/NaN=NaN","layer":0}]}
{"id":462,"expression_no_base_symbol":"($2705$⪝$4336$⫚↹⊑$2337$≎⪠$2168$)⨥⫆(⇈$8673$)≁($1001$≀⩗∶$1752$)⫏⊷","expression":"(⪩⨒∯222101⪝⪩⨒∯1003300⫚↹⊑⪩⨒∯210201≎⪠⪩⨒∯201320)⨥⫆(⇈⪩⨒∯2013201)≁(⪩⨒∯33221≀⩗∶⪩⨒∯123120)⫏⊷","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20781,"operation_count":8,"complexity_ratio":2597.625,"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":2705,"base":4},"right_expr":{"type":"numeric_atoms","value":4336,"base":4}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2337,"base":4},"right_expr":{"type":"numeric_atoms","value":2168,"base":4}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":8673,"base":4}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1001,"base":4},"right_expr":{"type":"numeric_atoms","value":1752,"base":4}}}}},"used_operators":["dcShxvzhyw","yXekIHxTD4","dfKe02y8D2","wicAB68Tmb","aNhz54LH3e","8N2wDY1A35","SLLxy00UIr","8INZBEW696"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⪩⨒∯-30302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2705","layer":4},{"info":"number node, value=4336","layer":4},{"info":"compute binary expreesion, left_input=2705, right_input=4336, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=2337","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=2168, 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=237, right_input=19558, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=8673","layer":4},{"info":"compute unary expreesion, input=8673, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1752","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1752, 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=-447, right_input=-3, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-9161","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-9161, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-818","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯222101⪝⪩⨒∯1003300⫚↹⊑⪩⨒∯210201≎⪠⪩⨒∯201320)⨥⫆(⇈⪩⨒∯2013201)≁(⪩⨒∯33221≀⩗∶⪩⨒∯123120)⫏⊷=⪩⨒∯-30302","reverse_text":"⪩⨒∯-30302=(⪩⨒∯222101⪝⪩⨒∯1003300⫚↹⊑⪩⨒∯210201≎⪠⪩⨒∯201320)⨥⫆(⇈⪩⨒∯2013201)≁(⪩⨒∯33221≀⩗∶⪩⨒∯123120)⫏⊷","cot":[{"info":"⪩⨒∯222101⪝⪩⨒∯1003300=⪩⨒∯3231","layer":3},{"info":"⪩⨒∯210201≎⪠⪩⨒∯201320=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯3231⫚↹⊑⪩⨒∯10301212=⪩⨒∯-12333","layer":2},{"info":"⇈⪩⨒∯2013201=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯33221≀⩗∶⪩⨒∯123120=⪩⨒∯-3","layer":3},{"info":"⪩⨒∯-12333≁⪩⨒∯-3=⪩⨒∯-2033021","layer":2},{"info":"⪩⨒∯-12333⨥⫆⪩⨒∯-2033021=⪩⨒∯-1","layer":1},{"info":"⪩⨒∯-1⫏⊷=⪩⨒∯-30302","layer":0}]}
{"id":463,"expression_no_base_symbol":"($1010$⩼⇪↪$1456$≦≮≮)⪝((⩷$2036$)⩁⩘($1281$≬⋮$1765$))⊧↖","expression":"(⪩⨒∯33302⩼⇪↪⪩⨒∯112300≦≮≮)⪝((⩷⪩⨒∯133310)⩁⩘(⪩⨒∯110001≬⋮⪩⨒∯123211))⊧↖","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":90714,"operation_count":7,"complexity_ratio":12959.142857142857,"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":1010,"base":4},"right_expr":{"type":"numeric_atoms","value":1456,"base":4}}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":2036,"base":4}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1281,"base":4},"right_expr":{"type":"numeric_atoms","value":1765,"base":4}}}}},"used_operators":["EKiFHuOFxO","wicAB68Tmb","D4vGDi5EA2","ocnLzx9CaJ","gub5Cegaqo","1h0rLqGiFr","kbkesczE7y"],"dependent_operators":["5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=1456, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-8955","layer":3},{"info":"compute unary expreesion, input=-8955, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=26865","layer":2},{"info":"number node, value=2036","layer":4},{"info":"compute unary expreesion, input=2036, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-24511","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=1765, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-24511, right_input=868, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=4420","layer":2},{"info":"compute binary expreesion, left_input=26865, right_input=4420, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-90179","layer":1},{"info":"compute unary expreesion, input=-90179, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=inf","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯33302⩼⇪↪⪩⨒∯112300≦≮≮)⪝((⩷⪩⨒∯133310)⩁⩘(⪩⨒∯110001≬⋮⪩⨒∯123211))⊧↖=Inf","reverse_text":"Inf=(⪩⨒∯33302⩼⇪↪⪩⨒∯112300≦≮≮)⪝((⩷⪩⨒∯133310)⩁⩘(⪩⨒∯110001≬⋮⪩⨒∯123211))⊧↖","cot":[{"info":"⪩⨒∯33302⩼⇪↪⪩⨒∯112300=⪩⨒∯-2023323","layer":3},{"info":"⪩⨒∯-2023323≦≮≮=⪩⨒∯12203301","layer":2},{"info":"⩷⪩⨒∯133310=⪩⨒∯-11332333","layer":3},{"info":"⪩⨒∯110001≬⋮⪩⨒∯123211=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯-11332333⩁⩘⪩⨒∯31210=⪩⨒∯1011010","layer":2},{"info":"⪩⨒∯12203301⪝⪩⨒∯1011010=⪩⨒∯-112001003","layer":1},{"info":"⪩⨒∯-112001003⊧↖=Inf","layer":0}]}
{"id":464,"expression_no_base_symbol":"(≛(⇨($1123$≎⊠⪸$1978$)))∣(($5981$∕⩚$2246$)⨚$1298$⊕∕$1002$⪮%⊝($4257$⪥$5744$)∘($3362$≃$1282$))","expression":"(≛(⇨(⪩⨒∯101203≎⊠⪸⪩⨒∯132322)))∣((⪩⨒∯1131131∕⩚⪩⨒∯203012)⨚⪩⨒∯110102⊕∕⪩⨒∯33222⪮%⊝(⪩⨒∯1002201⪥⪩⨒∯1121300)∘(⪩⨒∯310202≃⪩⨒∯110002))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6370,"operation_count":11,"complexity_ratio":579.0909090909091,"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":1123,"base":4},"right_expr":{"type":"numeric_atoms","value":1978,"base":4}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":5981,"base":4},"right_expr":{"type":"numeric_atoms","value":2246,"base":4}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1298,"base":4},"right_expr":{"type":"numeric_atoms","value":1002,"base":4}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4257,"base":4},"right_expr":{"type":"numeric_atoms","value":5744,"base":4}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":3362,"base":4},"right_expr":{"type":"numeric_atoms","value":1282,"base":4}}}}},"used_operators":["PPChnnnBFF","W7eaUhjymW","G9tJMlZ94a","bJkvcejdHO","IWmyXbctLI","nREPSIbpBE","z9ffQ9n5Zr","9cloC0Ngie","Z5m6OM72h2","QbnwKVWMIQ","YbVcJGFEVW"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","BjRHVeLaeN","12rbrZMWeM","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","eH2TOUuTDT","rysDP5nf3Z","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C"],"result":"⪩⨒∯23101","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1123","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1978, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=290384","layer":3},{"info":"compute unary expreesion, input=290384, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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=-237","layer":1},{"info":"number node, value=5981","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=5981, right_input=2246, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5984","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=1002, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1298","layer":3},{"info":"compute binary expreesion, left_input=-5984, right_input=1298, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-16226","layer":2},{"info":"number node, value=4257","layer":4},{"info":"number node, value=5744","layer":4},{"info":"compute binary expreesion, left_input=4257, right_input=5744, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=21680","layer":3},{"info":"number node, value=3362","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=1282, 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=-13488","layer":3},{"info":"compute binary expreesion, left_input=21680, right_input=-13488, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-21300","layer":2},{"info":"compute binary expreesion, left_input=-16226, right_input=-21300, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-32136","layer":1},{"info":"compute binary expreesion, left_input=-237, right_input=-32136, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=721","layer":0}],"base":4,"result_base":4,"text":"(≛(⇨(⪩⨒∯101203≎⊠⪸⪩⨒∯132322)))∣((⪩⨒∯1131131∕⩚⪩⨒∯203012)⨚⪩⨒∯110102⊕∕⪩⨒∯33222⪮%⊝(⪩⨒∯1002201⪥⪩⨒∯1121300)∘(⪩⨒∯310202≃⪩⨒∯110002))=⪩⨒∯23101","reverse_text":"⪩⨒∯23101=(≛(⇨(⪩⨒∯101203≎⊠⪸⪩⨒∯132322)))∣((⪩⨒∯1131131∕⩚⪩⨒∯203012)⨚⪩⨒∯110102⊕∕⪩⨒∯33222⪮%⊝(⪩⨒∯1002201⪥⪩⨒∯1121300)∘(⪩⨒∯310202≃⪩⨒∯110002))","cot":[{"info":"⪩⨒∯101203≎⊠⪸⪩⨒∯132322=⪩⨒∯1012321100","layer":3},{"info":"⇨⪩⨒∯1012321100=⪩⨒∯0","layer":2},{"info":"≛⪩⨒∯0=⪩⨒∯-3231","layer":1},{"info":"⪩⨒∯1131131∕⩚⪩⨒∯203012=⪩⨒∯-1131200","layer":3},{"info":"⪩⨒∯110102⊕∕⪩⨒∯33222=⪩⨒∯110102","layer":3},{"info":"⪩⨒∯-1131200⨚⪩⨒∯110102=⪩⨒∯-3331202","layer":2},{"info":"⪩⨒∯1002201⪥⪩⨒∯1121300=⪩⨒∯11102300","layer":3},{"info":"⪩⨒∯310202≃⪩⨒∯110002=⪩⨒∯-3102300","layer":3},{"info":"⪩⨒∯11102300∘⪩⨒∯-3102300=⪩⨒∯-11030310","layer":2},{"info":"⪩⨒∯-3331202⪮%⊝⪩⨒∯-11030310=⪩⨒∯-13312020","layer":1},{"info":"⪩⨒∯-3231∣⪩⨒∯-13312020=⪩⨒∯23101","layer":0}]}
{"id":465,"expression_no_base_symbol":"(($3803$⋷$9586$)⩤)⩇∃⫛(⫇$5320$≦↸$5121$)⪭≯((($1973$≴⪞⇿$4000$)⨕⋳)⩟)","expression":"((⪩⨒∯323123⋷⪩⨒∯2111302)⩤)⩇∃⫛(⫇⪩⨒∯1103020≦↸⪩⨒∯1100001)⪭≯(((⪩⨒∯132311≴⪞⇿⪩⨒∯332200)⨕⋳)⩟)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8560,"operation_count":9,"complexity_ratio":951.1111111111111,"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":3803,"base":4},"right_expr":{"type":"numeric_atoms","value":9586,"base":4}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5320,"base":4},"right_expr":{"type":"numeric_atoms","value":5121,"base":4}}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1973,"base":4},"right_expr":{"type":"numeric_atoms","value":4000,"base":4}}}}},"used_operators":["XAx5wpdLa6","1aApVXNlOP","Z2TMIBDE3Q","23Mk6UjR3U","YjI8oCXuph","RygbFNSyEJ","fOIeswaMU4","4X4GscPmMf","lvlrscuwVU"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3803","layer":4},{"info":"number node, value=9586","layer":4},{"info":"compute binary expreesion, left_input=3803, right_input=9586, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=15369","layer":3},{"info":"compute unary expreesion, input=15369, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-15369","layer":2},{"info":"number node, value=5320","layer":4},{"info":"number node, value=5121","layer":4},{"info":"compute binary expreesion, left_input=5320, right_input=5121, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-20201","layer":3},{"info":"compute unary expreesion, input=-20201, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-19255","layer":2},{"info":"compute binary expreesion, left_input=-15369, right_input=-19255, 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=-15369","layer":1},{"info":"number node, value=1973","layer":4},{"info":"number node, value=4000","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=4000, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=5780234","layer":3},{"info":"compute unary expreesion, input=5780234, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=508580220","layer":2},{"info":"compute unary expreesion, input=508580220, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=-15369, right_input=-inf, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯323123⋷⪩⨒∯2111302)⩤)⩇∃⫛(⫇⪩⨒∯1103020≦↸⪩⨒∯1100001)⪭≯(((⪩⨒∯132311≴⪞⇿⪩⨒∯332200)⨕⋳)⩟)=NaN","reverse_text":"NaN=((⪩⨒∯323123⋷⪩⨒∯2111302)⩤)⩇∃⫛(⫇⪩⨒∯1103020≦↸⪩⨒∯1100001)⪭≯(((⪩⨒∯132311≴⪞⇿⪩⨒∯332200)⨕⋳)⩟)","cot":[{"info":"⪩⨒∯323123⋷⪩⨒∯2111302=⪩⨒∯3300021","layer":3},{"info":"⪩⨒∯3300021⩤=⪩⨒∯-3300021","layer":2},{"info":"⪩⨒∯1103020≦↸⪩⨒∯1100001=⪩⨒∯-10323221","layer":3},{"info":"⫇⪩⨒∯-10323221=⪩⨒∯-10230313","layer":2},{"info":"⪩⨒∯-3300021⩇∃⫛⪩⨒∯-10230313=⪩⨒∯-3300021","layer":1},{"info":"⪩⨒∯132311≴⪞⇿⪩⨒∯332200=⪩⨒∯112003030022","layer":3},{"info":"⪩⨒∯112003030022⨕⋳=⪩⨒∯132110011011330","layer":2},{"info":"⪩⨒∯132110011011330⩟=-Inf","layer":1},{"info":"⪩⨒∯-3300021⪭≯-Inf=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"((≦∁$3766$≴⪞⇿$4177$)⫔⩽⩺$1077$↹⊜$3315$≨$1245$≴⪞⇿$5629$)⨟⋌⩍((($1785$⨔⇊$1292$)⊀⩕)≬⋮(⇤←($3025$⇽⩪)))","expression":"((≦∁⪩⨒∯322312≴⪞⇿⪩⨒∯1001101)⫔⩽⩺⪩⨒∯100311↹⊜⪩⨒∯303303≨⪩⨒∯103131≴⪞⇿⪩⨒∯1113331)⨟⋌⩍(((⪩⨒∯123321⨔⇊⪩⨒∯110030)⊀⩕)≬⋮(⇤←(⪩⨒∯233101⇽⩪)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":77333,"operation_count":12,"complexity_ratio":6444.416666666667,"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":3766,"base":4},"right_expr":{"type":"numeric_atoms","value":4177,"base":4}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1077,"base":4},"right_expr":{"type":"numeric_atoms","value":3315,"base":4}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1245,"base":4},"right_expr":{"type":"numeric_atoms","value":5629,"base":4}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1785,"base":4},"right_expr":{"type":"numeric_atoms","value":1292,"base":4}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"unary","operator":"⇽⩪","unary_expr":{"type":"numeric_atoms","value":3025,"base":4}}}}},"used_operators":["rGHVDoGpnC","i9eR4S00cU","9ICcGScMcE","lvlrscuwVU","0KMCeP1Jsh","9bazX3JMtO","kbkesczE7y","r0FS3hW4cC","JclMnS0uGI","jfAgQ2OQeM","FonBHBYJbU"],"dependent_operators":["Tcnh7f0tEr","Tw270M8GLb","fu6greOZ01","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rGHVDoGpnC","nhYeJWJD5X","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","tifHPKVTfV","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3766","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=3766, right_input=4177, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=24402332","layer":3},{"info":"compute unary expreesion, input=24402332, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=24402332","layer":2},{"info":"number node, value=1077","layer":4},{"info":"number node, value=3315","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=3315, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-11202","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=5629","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=5629, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1889802","layer":3},{"info":"compute binary expreesion, left_input=-11202, right_input=1889802, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=23060","layer":2},{"info":"compute binary expreesion, left_input=24402332, right_input=23060, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1785","layer":4},{"info":"number node, value=1292","layer":4},{"info":"compute binary expreesion, left_input=1785, right_input=1292, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1292","layer":3},{"info":"compute unary expreesion, input=1292, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"number node, value=3025","layer":4},{"info":"compute unary expreesion, input=3025, op_id = FonBHBYJbU, unary_op_definition = 'a⇽⩪ = { (((≉88)⨰(⨑⩽⪐a))⨸⪁((a+95)⇼⇔∾(a⋷a))) }', output=6572","layer":3},{"info":"compute unary expreesion, input=6572, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-31494","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-31494, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=868, 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":4,"result_base":4,"text":"((≦∁⪩⨒∯322312≴⪞⇿⪩⨒∯1001101)⫔⩽⩺⪩⨒∯100311↹⊜⪩⨒∯303303≨⪩⨒∯103131≴⪞⇿⪩⨒∯1113331)⨟⋌⩍(((⪩⨒∯123321⨔⇊⪩⨒∯110030)⊀⩕)≬⋮(⇤←(⪩⨒∯233101⇽⩪)))=NaN","reverse_text":"NaN=((≦∁⪩⨒∯322312≴⪞⇿⪩⨒∯1001101)⫔⩽⩺⪩⨒∯100311↹⊜⪩⨒∯303303≨⪩⨒∯103131≴⪞⇿⪩⨒∯1113331)⨟⋌⩍(((⪩⨒∯123321⨔⇊⪩⨒∯110030)⊀⩕)≬⋮(⇤←(⪩⨒∯233101⇽⩪)))","cot":[{"info":"⪩⨒∯322312≴⪞⇿⪩⨒∯1001101=⪩⨒∯1131011212130","layer":3},{"info":"≦∁⪩⨒∯1131011212130=⪩⨒∯1131011212130","layer":2},{"info":"⪩⨒∯100311↹⊜⪩⨒∯303303=⪩⨒∯-2233002","layer":3},{"info":"⪩⨒∯103131≴⪞⇿⪩⨒∯1113331=⪩⨒∯13031120022","layer":3},{"info":"⪩⨒∯-2233002≨⪩⨒∯13031120022=⪩⨒∯11220110","layer":2},{"info":"⪩⨒∯1131011212130⫔⩽⩺⪩⨒∯11220110=NaN","layer":1},{"info":"⪩⨒∯123321⨔⇊⪩⨒∯110030=⪩⨒∯110030","layer":3},{"info":"⪩⨒∯110030⊀⩕=⪩⨒∯0","layer":2},{"info":"⪩⨒∯233101⇽⩪=⪩⨒∯1212230","layer":3},{"info":"⇤←⪩⨒∯1212230=⪩⨒∯-13230012","layer":2},{"info":"⪩⨒∯0≬⋮⪩⨒∯-13230012=⪩⨒∯31210","layer":1},{"info":"NaN⨟⋌⩍⪩⨒∯31210=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"($6569$≹⇙⪍$1080$↱($3439$⫑%∭)⫃⨇(($3773$⋅⇍$2966$)⨌↪))⫘(($2098$≝⊿$1050$⇔⨋)⊉≛↸($2427$⊵↤)≧⫂∧($3641$⫸⇳$4931$))","expression":"(⪩⨒∯1212221≹⇙⪍⪩⨒∯100320↱(⪩⨒∯311233⫑%∭)⫃⨇((⪩⨒∯322331⋅⇍⪩⨒∯232112)⨌↪))⫘((⪩⨒∯200302≝⊿⪩⨒∯100122⇔⨋)⊉≛↸(⪩⨒∯211323⊵↤)≧⫂∧(⪩⨒∯320321⫸⇳⪩⨒∯1031003))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1189,"operation_count":13,"complexity_ratio":91.46153846153847,"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":6569,"base":4},"right_expr":{"type":"numeric_atoms","value":1080,"base":4}},"right_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":3439,"base":4}}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3773,"base":4},"right_expr":{"type":"numeric_atoms","value":2966,"base":4}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⇔⨋","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":2098,"base":4},"right_expr":{"type":"numeric_atoms","value":1050,"base":4}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":2427,"base":4}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3641,"base":4},"right_expr":{"type":"numeric_atoms","value":4931,"base":4}}}}},"used_operators":["48vC8HMD2b","09Ly4LVMIf","SR5kFfdi6N","AHs5Up7iyr","xUx7qlDO4z","cWQsF5MvuD","AdZkA7nFnk","DZ8iAZOCBD","uBihLCJcMX","OKKcZfAt5B","Ph9nP6C5qx","7IPrd9c3lf","gx7XJ7hdpj"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","dWAJyo7jo9","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6569","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=6569, right_input=1080, 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=3439","layer":4},{"info":"compute unary expreesion, input=3439, op_id = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯a))) }', output=nan","layer":3},{"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":2},{"info":"number node, value=3773","layer":4},{"info":"number node, value=2966","layer":4},{"info":"compute binary expreesion, left_input=3773, right_input=2966, 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 = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-480, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"number node, value=2098","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=2098, right_input=1050, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4731","layer":3},{"info":"compute unary expreesion, input=-4731, 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":"number node, value=2427","layer":4},{"info":"compute unary expreesion, input=2427, 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=3641","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=3641, right_input=4931, 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=67, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=287, right_input=-473, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=574","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=574, 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":4,"result_base":4,"text":"(⪩⨒∯1212221≹⇙⪍⪩⨒∯100320↱(⪩⨒∯311233⫑%∭)⫃⨇((⪩⨒∯322331⋅⇍⪩⨒∯232112)⨌↪))⫘((⪩⨒∯200302≝⊿⪩⨒∯100122⇔⨋)⊉≛↸(⪩⨒∯211323⊵↤)≧⫂∧(⪩⨒∯320321⫸⇳⪩⨒∯1031003))=NaN","reverse_text":"NaN=(⪩⨒∯1212221≹⇙⪍⪩⨒∯100320↱(⪩⨒∯311233⫑%∭)⫃⨇((⪩⨒∯322331⋅⇍⪩⨒∯232112)⨌↪))⫘((⪩⨒∯200302≝⊿⪩⨒∯100122⇔⨋)⊉≛↸(⪩⨒∯211323⊵↤)≧⫂∧(⪩⨒∯320321⫸⇳⪩⨒∯1031003))","cot":[{"info":"⪩⨒∯1212221≹⇙⪍⪩⨒∯100320=NaN","layer":3},{"info":"⪩⨒∯311233⫑%∭=NaN","layer":3},{"info":"NaN↱NaN=NaN","layer":2},{"info":"⪩⨒∯322331⋅⇍⪩⨒∯232112=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯-112⨌↪=⪩⨒∯-13200","layer":2},{"info":"NaN⫃⨇⪩⨒∯-13200=NaN","layer":1},{"info":"⪩⨒∯200302≝⊿⪩⨒∯100122=⪩⨒∯-1021323","layer":3},{"info":"⪩⨒∯-1021323⇔⨋=⪩⨒∯10133","layer":2},{"info":"⪩⨒∯211323⊵↤=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯320321⫸⇳⪩⨒∯1031003=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1003≧⫂∧⪩⨒∯0=⪩⨒∯-13121","layer":2},{"info":"⪩⨒∯10133⊉≛↸⪩⨒∯-13121=⪩⨒∯20332","layer":1},{"info":"NaN⫘⪩⨒∯20332=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"$4088$⩘$2790$⪨⊡$1536$≁$1162$⫸⇳($5298$≄⊠$9235$)⊮⊟↴($2694$∙∹∝$1047$)≀⩗∶(⋂($1073$⨽$1409$)∳⫺($3833$⩒⫫$1709$))","expression":"⪩⨒∯333320⩘⪩⨒∯223212⪨⊡⪩⨒∯120000≁⪩⨒∯102022⫸⇳(⪩⨒∯1102302≄⊠⪩⨒∯2100103)⊮⊟↴(⪩⨒∯222012∙∹∝⪩⨒∯100113)≀⩗∶(⋂(⪩⨒∯100301⨽⪩⨒∯112001)∳⫺(⪩⨒∯323321⩒⫫⪩⨒∯122231))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1468,"operation_count":12,"complexity_ratio":122.33333333333333,"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":4088,"base":4},"right_expr":{"type":"numeric_atoms","value":2790,"base":4}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1536,"base":4},"right_expr":{"type":"numeric_atoms","value":1162,"base":4}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5298,"base":4},"right_expr":{"type":"numeric_atoms","value":9235,"base":4}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2694,"base":4},"right_expr":{"type":"numeric_atoms","value":1047,"base":4}}}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1073,"base":4},"right_expr":{"type":"numeric_atoms","value":1409,"base":4}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3833,"base":4},"right_expr":{"type":"numeric_atoms","value":1709,"base":4}}}}},"used_operators":["8INZBEW696","gx7XJ7hdpj","kuIXHzHcAH","cHh1gJQ2o6","8N2wDY1A35","QDVgd2eftb","vXNesLlMH1","HmxsFra2vL","BUOGQAYlQx","AzXXKTstlj","8HhzD0ZcuI","KFSx94NKJn"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4088","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=4088, right_input=2790, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=1536","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=1536, right_input=1162, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=14687","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=14687, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=5298","layer":4},{"info":"number node, value=9235","layer":4},{"info":"compute binary expreesion, left_input=5298, right_input=9235, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=152428","layer":3},{"info":"number node, value=2694","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=1047, 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=152428, 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=0, 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=1073","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1409, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3456900","layer":3},{"info":"number node, value=3833","layer":4},{"info":"number node, value=1709","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=1709, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3531","layer":3},{"info":"compute binary expreesion, left_input=-3456900, right_input=3531, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-13834600","layer":2},{"info":"compute unary expreesion, input=-13834600, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=193684996","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=193684996, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯333320⩘⪩⨒∯223212⪨⊡⪩⨒∯120000≁⪩⨒∯102022⫸⇳(⪩⨒∯1102302≄⊠⪩⨒∯2100103)⊮⊟↴(⪩⨒∯222012∙∹∝⪩⨒∯100113)≀⩗∶(⋂(⪩⨒∯100301⨽⪩⨒∯112001)∳⫺(⪩⨒∯323321⩒⫫⪩⨒∯122231))=NaN","reverse_text":"NaN=⪩⨒∯333320⩘⪩⨒∯223212⪨⊡⪩⨒∯120000≁⪩⨒∯102022⫸⇳(⪩⨒∯1102302≄⊠⪩⨒∯2100103)⊮⊟↴(⪩⨒∯222012∙∹∝⪩⨒∯100113)≀⩗∶(⋂(⪩⨒∯100301⨽⪩⨒∯112001)∳⫺(⪩⨒∯323321⩒⫫⪩⨒∯122231))","cot":[{"info":"⪩⨒∯333320⩘⪩⨒∯223212=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯120000≁⪩⨒∯102022=⪩⨒∯3211133","layer":3},{"info":"⪩⨒∯2200⪨⊡⪩⨒∯3211133=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1102302≄⊠⪩⨒∯2100103=⪩⨒∯211031230","layer":3},{"info":"⪩⨒∯222012∙∹∝⪩⨒∯100113=⪩⨒∯0","layer":3},{"info":"⪩⨒∯211031230⊮⊟↴⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⫸⇳⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯100301⨽⪩⨒∯112001=⪩⨒∯-31023332010","layer":3},{"info":"⪩⨒∯323321⩒⫫⪩⨒∯122231=⪩⨒∯313023","layer":3},{"info":"⪩⨒∯-31023332010∳⫺⪩⨒∯313023=⪩⨒∯-310301211220","layer":2},{"info":"⋂⪩⨒∯-310301211220=⪩⨒∯23202312120010","layer":1},{"info":"⪩⨒∯0≀⩗∶⪩⨒∯23202312120010=NaN","layer":0}]}
{"id":469,"expression_no_base_symbol":"$8373$⋛$3608$⩚⊴⇥(≉$4415$)⋥≓≎($4218$⊔$3828$↙$2032$⪡$4890$)⫦⪉(↓⇌(⩎⋉(↣≠⋷$5066$)))","expression":"⪩⨒∯2002311⋛⪩⨒∯320120⩚⊴⇥(≉⪩⨒∯1010333)⋥≓≎(⪩⨒∯1001322⊔⪩⨒∯323310↙⪩⨒∯133300⪡⪩⨒∯1030122)⫦⪉(↓⇌(⩎⋉(↣≠⋷⪩⨒∯1033022)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":492,"operation_count":11,"complexity_ratio":44.72727272727273,"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":8373,"base":4},"right_expr":{"type":"numeric_atoms","value":3608,"base":4}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4415,"base":4}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":4218,"base":4},"right_expr":{"type":"numeric_atoms","value":3828,"base":4}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":2032,"base":4},"right_expr":{"type":"numeric_atoms","value":4890,"base":4}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5066,"base":4}}}}},"used_operators":["wscyQdcy20","Qy55tPpLXF","NTOWxs364D","YbUVn0Rbpy","e1ybzncUwg","yyfyN0ffXY","E4l6HwMY31","oraRL2iQuh","PxpmPgHHJV","FlXk3pOYe8","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","XhwjNDsVaA","AHs5Up7iyr"],"result":"⪩⨒∯122200300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8373","layer":4},{"info":"number node, value=3608","layer":4},{"info":"compute binary expreesion, left_input=8373, right_input=3608, 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=-56835","layer":3},{"info":"number node, value=4415","layer":4},{"info":"compute unary expreesion, input=4415, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4946","layer":3},{"info":"compute binary expreesion, left_input=-56835, right_input=4946, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=51768","layer":2},{"info":"number node, value=4218","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=4218, right_input=3828, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=25176","layer":3},{"info":"number node, value=2032","layer":4},{"info":"number node, value=4890","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=4890, 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=25176, right_input=107, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-321","layer":2},{"info":"compute binary expreesion, left_input=51768, right_input=-321, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-52377","layer":1},{"info":"number node, value=5066","layer":4},{"info":"compute unary expreesion, input=5066, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', 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 = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-52377, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=108592","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯2002311⋛⪩⨒∯320120⩚⊴⇥(≉⪩⨒∯1010333)⋥≓≎(⪩⨒∯1001322⊔⪩⨒∯323310↙⪩⨒∯133300⪡⪩⨒∯1030122)⫦⪉(↓⇌(⩎⋉(↣≠⋷⪩⨒∯1033022)))=⪩⨒∯122200300","reverse_text":"⪩⨒∯122200300=⪩⨒∯2002311⋛⪩⨒∯320120⩚⊴⇥(≉⪩⨒∯1010333)⋥≓≎(⪩⨒∯1001322⊔⪩⨒∯323310↙⪩⨒∯133300⪡⪩⨒∯1030122)⫦⪉(↓⇌(⩎⋉(↣≠⋷⪩⨒∯1033022)))","cot":[{"info":"⪩⨒∯2002311⋛⪩⨒∯320120=⪩⨒∯-31320003","layer":3},{"info":"≉⪩⨒∯1010333=⪩⨒∯1031102","layer":3},{"info":"⪩⨒∯-31320003⩚⊴⇥⪩⨒∯1031102=⪩⨒∯30220320","layer":2},{"info":"⪩⨒∯1001322⊔⪩⨒∯323310=⪩⨒∯12021120","layer":3},{"info":"⪩⨒∯133300⪡⪩⨒∯1030122=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯12021120↙⪩⨒∯1223=⪩⨒∯-11001","layer":2},{"info":"⪩⨒∯30220320⋥≓≎⪩⨒∯-11001=⪩⨒∯-30302121","layer":1},{"info":"↣≠⋷⪩⨒∯1033022=NaN","layer":3},{"info":"⩎⋉NaN=NaN","layer":2},{"info":"↓⇌NaN=NaN","layer":1},{"info":"⪩⨒∯-30302121⫦⪉NaN=⪩⨒∯122200300","layer":0}]}
{"id":470,"expression_no_base_symbol":"((($8066$↙$1028$)⪊≅)⨕⋳)⋅⇍(($4242$⫦⪉$3838$)⩵∡$3592$⋅⇍$1244$)⪭≯($5532$⊋≦⊧$5537$)⪘⫢($1459$⨸⪁$1100$)","expression":"(((⪩⨒∯1332002↙⪩⨒∯100010)⪊≅)⨕⋳)⋅⇍((⪩⨒∯1002102⫦⪉⪩⨒∯323332)⩵∡⪩⨒∯320020⋅⇍⪩⨒∯103130)⪭≯(⪩⨒∯1112130⊋≦⊧⪩⨒∯1112201)⪘⫢(⪩⨒∯112303⨸⪁⪩⨒∯101030)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1388,"operation_count":11,"complexity_ratio":126.18181818181819,"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":8066,"base":4},"right_expr":{"type":"numeric_atoms","value":1028,"base":4}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4242,"base":4},"right_expr":{"type":"numeric_atoms","value":3838,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3592,"base":4},"right_expr":{"type":"numeric_atoms","value":1244,"base":4}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":5532,"base":4},"right_expr":{"type":"numeric_atoms","value":5537,"base":4}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1459,"base":4},"right_expr":{"type":"numeric_atoms","value":1100,"base":4}}}}},"used_operators":["AdZkA7nFnk","4X4GscPmMf","bjFbhXSADs","yyfyN0ffXY","XAx5wpdLa6","Y7wcNGrDQJ","wscyQdcy20","oacrs7FA3X","oRDoc9rAEX","g55IO6H4Gj"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","tmPS8pqC7x","DpFCA1CohY","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","glklzrTFfD","tifHPKVTfV","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe"],"result":"⪩⨒∯120222131","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8066","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=8066, right_input=1028, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3084","layer":3},{"info":"compute unary expreesion, input=-3084, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-101594","layer":1},{"info":"number node, value=4242","layer":4},{"info":"number node, value=3838","layer":4},{"info":"compute binary expreesion, left_input=4242, right_input=3838, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3584","layer":3},{"info":"number node, value=3592","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=3592, right_input=1244, 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=-3584, right_input=-22, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=10609","layer":2},{"info":"number node, value=5532","layer":4},{"info":"number node, value=5537","layer":4},{"info":"compute binary expreesion, left_input=5532, right_input=5537, 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=-10834","layer":3},{"info":"number node, value=1459","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=1459, right_input=1100, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5118","layer":3},{"info":"compute binary expreesion, left_input=-10834, right_input=5118, 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=10609, right_input=-1, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-101594, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=101021","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1332002↙⪩⨒∯100010)⪊≅)⨕⋳)⋅⇍((⪩⨒∯1002102⫦⪉⪩⨒∯323332)⩵∡⪩⨒∯320020⋅⇍⪩⨒∯103130)⪭≯(⪩⨒∯1112130⊋≦⊧⪩⨒∯1112201)⪘⫢(⪩⨒∯112303⨸⪁⪩⨒∯101030)=⪩⨒∯120222131","reverse_text":"⪩⨒∯120222131=(((⪩⨒∯1332002↙⪩⨒∯100010)⪊≅)⨕⋳)⋅⇍((⪩⨒∯1002102⫦⪉⪩⨒∯323332)⩵∡⪩⨒∯320020⋅⇍⪩⨒∯103130)⪭≯(⪩⨒∯1112130⊋≦⊧⪩⨒∯1112201)⪘⫢(⪩⨒∯112303⨸⪁⪩⨒∯101030)","cot":[{"info":"⪩⨒∯1332002↙⪩⨒∯100010=⪩⨒∯-300030","layer":3},{"info":"⪩⨒∯-300030⪊≅=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⨕⋳=⪩⨒∯-120303122","layer":1},{"info":"⪩⨒∯1002102⫦⪉⪩⨒∯323332=⪩⨒∯-320000","layer":3},{"info":"⪩⨒∯320020⋅⇍⪩⨒∯103130=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯-320000⩵∡⪩⨒∯-112=⪩⨒∯2211301","layer":2},{"info":"⪩⨒∯1112130⊋≦⊧⪩⨒∯1112201=⪩⨒∯-2221102","layer":3},{"info":"⪩⨒∯112303⨸⪁⪩⨒∯101030=⪩⨒∯1033332","layer":3},{"info":"⪩⨒∯-2221102⪘⫢⪩⨒∯1033332=⪩⨒∯-1","layer":2},{"info":"⪩⨒∯2211301⪭≯⪩⨒∯-1=NaN","layer":1},{"info":"⪩⨒∯-120303122⋅⇍NaN=⪩⨒∯120222131","layer":0}]}
{"id":471,"expression_no_base_symbol":"(($3520$↬⩅∪)⪔$1120$↼⊘⨖$2672$⇮⋭(($1174$⫘$2108$)⨘⋶⪀))⫞⩸⩒((⫓⪴(⨈⪑$1222$))≀⫉(⊈$3206$∓⋝$2591$))","expression":"((⪩⨒∯313000↬⩅∪)⪔⪩⨒∯101200↼⊘⨖⪩⨒∯221300⇮⋭((⪩⨒∯102112⫘⪩⨒∯200330)⨘⋶⪀))⫞⩸⩒((⫓⪴(⨈⪑⪩⨒∯103012))≀⫉(⊈⪩⨒∯302012∓⋝⪩⨒∯220133))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7890,"operation_count":12,"complexity_ratio":657.5,"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":3520,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1120,"base":4},"right_expr":{"type":"numeric_atoms","value":2672,"base":4}}},"right_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":1174,"base":4},"right_expr":{"type":"numeric_atoms","value":2108,"base":4}}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":1222,"base":4}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3206,"base":4},"right_expr":{"type":"numeric_atoms","value":2591,"base":4}}}}},"used_operators":["XGcMNugi78","vkpjKywKVM","GjBEYRfMaF","VJ330n2nnx","bPywburJMS","XVKwrhznBb","48vC8HMD2b","oZj3VtZNQx","eLxqMNBOBk","mp94q5OcYM","RHru8klgy8","PoHhknlbAi"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9HNa5Wba9A","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","12rbrZMWeM","xUOZtlo3hN","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⪩⨒∯230012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3520","layer":4},{"info":"compute unary expreesion, input=3520, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-10560","layer":3},{"info":"number node, value=1120","layer":4},{"info":"number node, value=2672","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=2672, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=5122","layer":3},{"info":"compute binary expreesion, left_input=-10560, right_input=5122, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=1174","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=2108, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1385029","layer":3},{"info":"compute unary expreesion, input=1385029, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=1222","layer":4},{"info":"compute unary expreesion, input=1222, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=753424","layer":2},{"info":"number node, value=3206","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=2591, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-241","layer":2},{"info":"compute binary expreesion, left_input=753424, right_input=-241, 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 = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=2822","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯313000↬⩅∪)⪔⪩⨒∯101200↼⊘⨖⪩⨒∯221300⇮⋭((⪩⨒∯102112⫘⪩⨒∯200330)⨘⋶⪀))⫞⩸⩒((⫓⪴(⨈⪑⪩⨒∯103012))≀⫉(⊈⪩⨒∯302012∓⋝⪩⨒∯220133))=⪩⨒∯230012","reverse_text":"⪩⨒∯230012=((⪩⨒∯313000↬⩅∪)⪔⪩⨒∯101200↼⊘⨖⪩⨒∯221300⇮⋭((⪩⨒∯102112⫘⪩⨒∯200330)⨘⋶⪀))⫞⩸⩒((⫓⪴(⨈⪑⪩⨒∯103012))≀⫉(⊈⪩⨒∯302012∓⋝⪩⨒∯220133))","cot":[{"info":"⪩⨒∯313000↬⩅∪=⪩⨒∯-2211000","layer":3},{"info":"⪩⨒∯101200↼⊘⨖⪩⨒∯221300=⪩⨒∯1100002","layer":3},{"info":"⪩⨒∯-2211000⪔⪩⨒∯1100002=⪩⨒∯13002","layer":2},{"info":"⪩⨒∯102112⫘⪩⨒∯200330=⪩⨒∯11102021011","layer":3},{"info":"⪩⨒∯11102021011⨘⋶⪀=NaN","layer":2},{"info":"⪩⨒∯13002⇮⋭NaN=⪩⨒∯1003","layer":1},{"info":"⨈⪑⪩⨒∯103012=⪩⨒∯31210","layer":3},{"info":"⫓⪴⪩⨒∯31210=⪩⨒∯2313330100","layer":2},{"info":"⪩⨒∯302012∓⋝⪩⨒∯220133=⪩⨒∯1003","layer":3},{"info":"⊈⪩⨒∯1003=⪩⨒∯-3301","layer":2},{"info":"⪩⨒∯2313330100≀⫉⪩⨒∯-3301=⪩⨒∯230012","layer":1},{"info":"⪩⨒∯1003⫞⩸⩒⪩⨒∯230012=⪩⨒∯230012","layer":0}]}
{"id":472,"expression_no_base_symbol":"(($1285$⨸⪁$3601$)≬⇓(∂$1471$))⩦($2105$⪶≀⋏$3081$)⨂≜($4701$⫚↹⊑$2565$)≝⊰⇂","expression":"((⪩⨒∯110011⨸⪁⪩⨒∯320101)≬⇓(∂⪩⨒∯112333))⩦(⪩⨒∯200321⪶≀⋏⪩⨒∯300021)⨂≜(⪩⨒∯1021131⫚↹⊑⪩⨒∯220011)≝⊰⇂","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":232798,"operation_count":8,"complexity_ratio":29099.75,"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":1285,"base":4},"right_expr":{"type":"numeric_atoms","value":3601,"base":4}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1471,"base":4}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":2105,"base":4},"right_expr":{"type":"numeric_atoms","value":3081,"base":4}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4701,"base":4},"right_expr":{"type":"numeric_atoms","value":2565,"base":4}}}}},"used_operators":["htSmYCowi5","0kmYd0q39Y","jWTQ2TZYIH","g55IO6H4Gj","Uaa54Peajs","k1SHOSEABc","zR4jO40bMj","dfKe02y8D2"],"dependent_operators":["9FxExcQeMw","DlLNRPXxWL","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1285","layer":4},{"info":"number node, value=3601","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=3601, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9772","layer":3},{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, 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=9772, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-10345","layer":2},{"info":"number node, value=2105","layer":4},{"info":"number node, value=3081","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=3081, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-12709","layer":3},{"info":"number node, value=4701","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=4701, right_input=2565, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-12709, right_input=-447, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10345, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', 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":4,"result_base":4,"text":"((⪩⨒∯110011⨸⪁⪩⨒∯320101)≬⇓(∂⪩⨒∯112333))⩦(⪩⨒∯200321⪶≀⋏⪩⨒∯300021)⨂≜(⪩⨒∯1021131⫚↹⊑⪩⨒∯220011)≝⊰⇂=NaN","reverse_text":"NaN=((⪩⨒∯110011⨸⪁⪩⨒∯320101)≬⇓(∂⪩⨒∯112333))⩦(⪩⨒∯200321⪶≀⋏⪩⨒∯300021)⨂≜(⪩⨒∯1021131⫚↹⊑⪩⨒∯220011)≝⊰⇂","cot":[{"info":"⪩⨒∯110011⨸⪁⪩⨒∯320101=⪩⨒∯2120230","layer":3},{"info":"∂⪩⨒∯112333=NaN","layer":3},{"info":"⪩⨒∯2120230≬⇓NaN=⪩⨒∯-2201221","layer":2},{"info":"⪩⨒∯200321⪶≀⋏⪩⨒∯300021=⪩⨒∯-3012211","layer":3},{"info":"⪩⨒∯1021131⫚↹⊑⪩⨒∯220011=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯-3012211⨂≜⪩⨒∯-12333=NaN","layer":2},{"info":"⪩⨒∯-2201221⩦NaN=NaN","layer":1},{"info":"NaN≝⊰⇂=NaN","layer":0}]}
{"id":473,"expression_no_base_symbol":"((($1127$⋘⨑⨽)⫦⪉$1126$⫁⪎$1123$)↙($3626$⊔$4554$∽(≪$6218$)))⇄(($1897$⨶)⋓(⫖→$1107$))∌↝($2144$⋥≓≎$3700$)⫉⨲⊜($4206$⊾⪯⋞$3543$)","expression":"(((⪩⨒∯101213⋘⨑⨽)⫦⪉⪩⨒∯101212⫁⪎⪩⨒∯101203)↙(⪩⨒∯320222⊔⪩⨒∯1013022∽(≪⪩⨒∯1201022)))⇄((⪩⨒∯131221⨶)⋓(⫖→⪩⨒∯101103))∌↝(⪩⨒∯201200⋥≓≎⪩⨒∯321310)⫉⨲⊜(⪩⨒∯1001232⊾⪯⋞⪩⨒∯313113)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1561,"operation_count":15,"complexity_ratio":104.06666666666666,"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":1127,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1126,"base":4},"right_expr":{"type":"numeric_atoms","value":1123,"base":4}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":3626,"base":4},"right_expr":{"type":"numeric_atoms","value":4554,"base":4}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":6218,"base":4}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1897,"base":4}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1107,"base":4}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2144,"base":4},"right_expr":{"type":"numeric_atoms","value":3700,"base":4}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":4206,"base":4},"right_expr":{"type":"numeric_atoms","value":3543,"base":4}}}}},"used_operators":["3EYGwJThht","yyfyN0ffXY","wscyQdcy20","WmT3o8z6ya","xRrnTEsQ6j","y4ImoPnbV5","E4l6HwMY31","Qtd6bqUJcN","9Isq31Ruls","T2fj7uvVaJ","rFxw8gIMmB","U4ylXWHChL","WhqkvtTD3t","Qy55tPpLXF","HK0tfVPux8"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","f6k1SAg4EE","Qy55tPpLXF","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","eewbuw0ToL","zVYPLywUTj","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq"],"result":"⪩⨒∯13210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1127","layer":4},{"info":"compute unary expreesion, input=1127, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=6418","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1123, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=3","layer":3},{"info":"compute binary expreesion, left_input=6418, right_input=3, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-7936","layer":2},{"info":"number node, value=3626","layer":4},{"info":"number node, value=4554","layer":4},{"info":"compute binary expreesion, left_input=3626, right_input=4554, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=27622","layer":3},{"info":"number node, value=6218","layer":4},{"info":"compute unary expreesion, input=6218, 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=27622, right_input=913, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-140671","layer":2},{"info":"compute binary expreesion, left_input=-7936, right_input=-140671, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7936","layer":1},{"info":"number node, value=1897","layer":4},{"info":"compute unary expreesion, input=1897, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=2048","layer":3},{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=2048, right_input=177, 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=2144","layer":4},{"info":"number node, value=3700","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=3700, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5289","layer":3},{"info":"number node, value=4206","layer":4},{"info":"number node, value=3543","layer":4},{"info":"compute binary expreesion, left_input=4206, right_input=3543, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=6660","layer":3},{"info":"compute binary expreesion, left_input=5289, right_input=6660, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, 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 binary expreesion, left_input=-7936, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=484","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯101213⋘⨑⨽)⫦⪉⪩⨒∯101212⫁⪎⪩⨒∯101203)↙(⪩⨒∯320222⊔⪩⨒∯1013022∽(≪⪩⨒∯1201022)))⇄((⪩⨒∯131221⨶)⋓(⫖→⪩⨒∯101103))∌↝(⪩⨒∯201200⋥≓≎⪩⨒∯321310)⫉⨲⊜(⪩⨒∯1001232⊾⪯⋞⪩⨒∯313113)=⪩⨒∯13210","reverse_text":"⪩⨒∯13210=(((⪩⨒∯101213⋘⨑⨽)⫦⪉⪩⨒∯101212⫁⪎⪩⨒∯101203)↙(⪩⨒∯320222⊔⪩⨒∯1013022∽(≪⪩⨒∯1201022)))⇄((⪩⨒∯131221⨶)⋓(⫖→⪩⨒∯101103))∌↝(⪩⨒∯201200⋥≓≎⪩⨒∯321310)⫉⨲⊜(⪩⨒∯1001232⊾⪯⋞⪩⨒∯313113)","cot":[{"info":"⪩⨒∯101213⋘⨑⨽=⪩⨒∯1210102","layer":3},{"info":"⪩⨒∯101212⫁⪎⪩⨒∯101203=⪩⨒∯3","layer":3},{"info":"⪩⨒∯1210102⫦⪉⪩⨒∯3=⪩⨒∯-1330000","layer":2},{"info":"⪩⨒∯320222⊔⪩⨒∯1013022=⪩⨒∯12233212","layer":3},{"info":"≪⪩⨒∯1201022=⪩⨒∯32101","layer":3},{"info":"⪩⨒∯12233212∽⪩⨒∯32101=⪩⨒∯-202111333","layer":2},{"info":"⪩⨒∯-1330000↙⪩⨒∯-202111333=⪩⨒∯-1330000","layer":1},{"info":"⪩⨒∯131221⨶=⪩⨒∯200000","layer":3},{"info":"⫖→⪩⨒∯101103=⪩⨒∯2301","layer":3},{"info":"⪩⨒∯200000⋓⪩⨒∯2301=⪩⨒∯0","layer":2},{"info":"⪩⨒∯201200⋥≓≎⪩⨒∯321310=⪩⨒∯1102221","layer":3},{"info":"⪩⨒∯1001232⊾⪯⋞⪩⨒∯313113=⪩⨒∯1220010","layer":3},{"info":"⪩⨒∯1102221⫉⨲⊜⪩⨒∯1220010=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0∌↝⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-1330000⇄⪩⨒∯0=⪩⨒∯13210","layer":0}]}
{"id":474,"expression_no_base_symbol":"(($7233$⇴∐$4689$)≚⊃≕($6981$⊝)∽($1275$↡⊰⫅$5208$)∓⋝$3743$⨑⩅≇$1639$)⫌⩉⩟(⪨⨬((⨝⨆$1437$)⊭↱(⨆≐≲$2205$)))","expression":"((⪩⨒∯1301001⇴∐⪩⨒∯1021101)≚⊃≕(⪩⨒∯1231011⊝)∽(⪩⨒∯103323↡⊰⫅⪩⨒∯1101120)∓⋝⪩⨒∯322133⨑⩅≇⪩⨒∯121213)⫌⩉⩟(⪨⨬((⨝⨆⪩⨒∯112131)⊭↱(⨆≐≲⪩⨒∯202131)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":358835,"operation_count":12,"complexity_ratio":29902.916666666668,"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":7233,"base":4},"right_expr":{"type":"numeric_atoms","value":4689,"base":4}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":6981,"base":4}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1275,"base":4},"right_expr":{"type":"numeric_atoms","value":5208,"base":4}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":3743,"base":4},"right_expr":{"type":"numeric_atoms","value":1639,"base":4}}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1437,"base":4}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":2205,"base":4}}}}},"used_operators":["XIIwhv8d0m","y4ImoPnbV5","Bmrmz2XGnR","HnzytWxmAO","O6EZ0fifGK","PoHhknlbAi","VCtxkLNOzz","h92wMvzauj","5obUd6DV38","COABgblf1C","bQ67fsrMVf","Bi9z9uYZqW"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","T2fj7uvVaJ","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y"],"result":"⪩⨒∯-302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7233","layer":4},{"info":"number node, value=4689","layer":4},{"info":"compute binary expreesion, left_input=7233, right_input=4689, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=6981","layer":4},{"info":"compute unary expreesion, input=6981, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=6981","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6981, 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":"number node, value=1275","layer":4},{"info":"number node, value=5208","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=5208, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=10416","layer":3},{"info":"number node, value=3743","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=3743, right_input=1639, 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=-11229","layer":3},{"info":"compute binary expreesion, left_input=10416, right_input=-11229, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=67, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-358","layer":1},{"info":"number node, value=1437","layer":4},{"info":"compute unary expreesion, input=1437, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1228","layer":3},{"info":"number node, value=2205","layer":4},{"info":"compute unary expreesion, input=2205, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=23798040","layer":3},{"info":"compute binary expreesion, left_input=1228, right_input=23798040, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=47593629","layer":2},{"info":"compute unary expreesion, input=47593629, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":1},{"info":"compute binary expreesion, left_input=-358, right_input=-526, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1301001⇴∐⪩⨒∯1021101)≚⊃≕(⪩⨒∯1231011⊝)∽(⪩⨒∯103323↡⊰⫅⪩⨒∯1101120)∓⋝⪩⨒∯322133⨑⩅≇⪩⨒∯121213)⫌⩉⩟(⪨⨬((⨝⨆⪩⨒∯112131)⊭↱(⨆≐≲⪩⨒∯202131)))=⪩⨒∯-302","reverse_text":"⪩⨒∯-302=((⪩⨒∯1301001⇴∐⪩⨒∯1021101)≚⊃≕(⪩⨒∯1231011⊝)∽(⪩⨒∯103323↡⊰⫅⪩⨒∯1101120)∓⋝⪩⨒∯322133⨑⩅≇⪩⨒∯121213)⫌⩉⩟(⪨⨬((⨝⨆⪩⨒∯112131)⊭↱(⨆≐≲⪩⨒∯202131)))","cot":[{"info":"⪩⨒∯1301001⇴∐⪩⨒∯1021101=NaN","layer":3},{"info":"⪩⨒∯1231011⊝=⪩⨒∯1231011","layer":3},{"info":"NaN≚⊃≕⪩⨒∯1231011=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯103323↡⊰⫅⪩⨒∯1101120=⪩⨒∯2202300","layer":3},{"info":"⪩⨒∯322133⨑⩅≇⪩⨒∯121213=⪩⨒∯-2233131","layer":3},{"info":"⪩⨒∯2202300∓⋝⪩⨒∯-2233131=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯1003∽⪩⨒∯1003=⪩⨒∯-11212","layer":1},{"info":"⨝⨆⪩⨒∯112131=⪩⨒∯103030","layer":3},{"info":"⨆≐≲⪩⨒∯202131=⪩⨒∯1122302010120","layer":3},{"info":"⪩⨒∯103030⊭↱⪩⨒∯1122302010120=⪩⨒∯2311203202131","layer":2},{"info":"⪨⨬⪩⨒∯2311203202131=⪩⨒∯-20032","layer":1},{"info":"⪩⨒∯-11212⫌⩉⩟⪩⨒∯-20032=⪩⨒∯-302","layer":0}]}
{"id":475,"expression_no_base_symbol":"≸≮((⩒∊(↪⫪⫘$4400$))≃⋄)","expression":"≸≮((⩒∊(↪⫪⫘⪩⨒∯1010300))≃⋄)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":10281,"operation_count":4,"complexity_ratio":2570.25,"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":4400,"base":4}}}}},"used_operators":["AljMvE3RRm","aN9a90urxU","qazvmhNBbN","9dWsAM3GFt"],"dependent_operators":["3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","uFcxV4UQCh","jLgFTUHLKL","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4400","layer":4},{"info":"compute unary expreesion, input=4400, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1213","layer":2},{"info":"compute unary expreesion, input=-1213, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=6464","layer":1},{"info":"compute unary expreesion, input=6464, 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":4,"result_base":4,"text":"≸≮((⩒∊(↪⫪⫘⪩⨒∯1010300))≃⋄)=NaN","reverse_text":"NaN=≸≮((⩒∊(↪⫪⫘⪩⨒∯1010300))≃⋄)","cot":[{"info":"↪⫪⫘⪩⨒∯1010300=⪩⨒∯110","layer":3},{"info":"⩒∊⪩⨒∯110=⪩⨒∯-102331","layer":2},{"info":"⪩⨒∯-102331≃⋄=⪩⨒∯1211000","layer":1},{"info":"≸≮⪩⨒∯1211000=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"((⪹$2033$)⋥≓≎$1958$⪥$3911$)⊝⪿⪼$6256$⪬$1875$⊲⩕⊾($2024$↼⊘⨖$3313$)↡⊰⫅(∂⩏⊆$1046$)⨓($8602$⪛⫼$1436$)∠↢$4160$≁↽≥$8646$⨿$6459$⋹⋡⊁$2647$","expression":"((⪹⪩⨒∯133301)⋥≓≎⪩⨒∯132212⪥⪩⨒∯331013)⊝⪿⪼⪩⨒∯1201300⪬⪩⨒∯131103⊲⩕⊾(⪩⨒∯133220↼⊘⨖⪩⨒∯303301)↡⊰⫅(∂⩏⊆⪩⨒∯100112)⨓(⪩⨒∯2012122⪛⫼⪩⨒∯112130)∠↢⪩⨒∯1001000≁↽≥⪩⨒∯2013012⨿⪩⨒∯1210323⋹⋡⊁⪩⨒∯221113","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":196730,"operation_count":15,"complexity_ratio":13115.333333333334,"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":2033,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1958,"base":4},"right_expr":{"type":"numeric_atoms","value":3911,"base":4}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":6256,"base":4},"right_expr":{"type":"numeric_atoms","value":1875,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2024,"base":4},"right_expr":{"type":"numeric_atoms","value":3313,"base":4}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1046,"base":4}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":8602,"base":4},"right_expr":{"type":"numeric_atoms","value":1436,"base":4}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":4160,"base":4},"right_expr":{"type":"numeric_atoms","value":8646,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6459,"base":4},"right_expr":{"type":"numeric_atoms","value":2647,"base":4}}}}},"used_operators":["VCtxkLNOzz","3Oe9XWJUTD","Qy55tPpLXF","USyYr0JgAa","QbnwKVWMIQ","DmTXOeWf9t","Ez1Nq5fNfI","bPywburJMS","KbjG8mgYpV","3ViojmjbAp","8WDwsbhb0R","hyuBjUqXlG","abYXlopdE0","ncHt1X6cMc","As8RqfVLgs"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","14qkJME0vr","eLAdDNolq6","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","oWn0xqSxBt","3Oe9XWJUTD","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⪩⨒∯10212300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2033","layer":4},{"info":"compute unary expreesion, input=2033, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-1853","layer":3},{"info":"number node, value=1958","layer":4},{"info":"number node, value=3911","layer":4},{"info":"compute binary expreesion, left_input=1958, right_input=3911, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12484","layer":3},{"info":"compute binary expreesion, left_input=-1853, right_input=12484, 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=6256","layer":4},{"info":"number node, value=1875","layer":4},{"info":"compute binary expreesion, left_input=6256, right_input=1875, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=2024","layer":4},{"info":"number node, value=3313","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=3313, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=6404","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=6404, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-80414","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-80414, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=171543","layer":1},{"info":"number node, value=1046","layer":4},{"info":"compute unary expreesion, input=1046, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-3217","layer":3},{"info":"number node, value=8602","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=8602, right_input=1436, 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=-3217, right_input=968, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-971","layer":2},{"info":"number node, value=4160","layer":4},{"info":"number node, value=8646","layer":4},{"info":"compute binary expreesion, left_input=4160, right_input=8646, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=72332","layer":3},{"info":"number node, value=6459","layer":4},{"info":"number node, value=2647","layer":4},{"info":"compute binary expreesion, left_input=6459, right_input=2647, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3397","layer":3},{"info":"compute binary expreesion, left_input=72332, right_input=3397, 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=-971, 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=9432","layer":1},{"info":"compute binary expreesion, left_input=171543, right_input=9432, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=18864","layer":0}],"base":4,"result_base":4,"text":"((⪹⪩⨒∯133301)⋥≓≎⪩⨒∯132212⪥⪩⨒∯331013)⊝⪿⪼⪩⨒∯1201300⪬⪩⨒∯131103⊲⩕⊾(⪩⨒∯133220↼⊘⨖⪩⨒∯303301)↡⊰⫅(∂⩏⊆⪩⨒∯100112)⨓(⪩⨒∯2012122⪛⫼⪩⨒∯112130)∠↢⪩⨒∯1001000≁↽≥⪩⨒∯2013012⨿⪩⨒∯1210323⋹⋡⊁⪩⨒∯221113=⪩⨒∯10212300","reverse_text":"⪩⨒∯10212300=((⪹⪩⨒∯133301)⋥≓≎⪩⨒∯132212⪥⪩⨒∯331013)⊝⪿⪼⪩⨒∯1201300⪬⪩⨒∯131103⊲⩕⊾(⪩⨒∯133220↼⊘⨖⪩⨒∯303301)↡⊰⫅(∂⩏⊆⪩⨒∯100112)⨓(⪩⨒∯2012122⪛⫼⪩⨒∯112130)∠↢⪩⨒∯1001000≁↽≥⪩⨒∯2013012⨿⪩⨒∯1210323⋹⋡⊁⪩⨒∯221113","cot":[{"info":"⪹⪩⨒∯133301=⪩⨒∯-130331","layer":3},{"info":"⪩⨒∯132212⪥⪩⨒∯331013=⪩⨒∯3003010","layer":3},{"info":"⪩⨒∯-130331⋥≓≎⪩⨒∯3003010=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯1201300⪬⪩⨒∯131103=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯133220↼⊘⨖⪩⨒∯303301=⪩⨒∯1210010","layer":3},{"info":"⪩⨒∯103102⊲⩕⊾⪩⨒∯1210010=⪩⨒∯-103220132","layer":2},{"info":"⪩⨒∯1003⊝⪿⪼⪩⨒∯-103220132=⪩⨒∯221320113","layer":1},{"info":"∂⩏⊆⪩⨒∯100112=⪩⨒∯-302101","layer":3},{"info":"⪩⨒∯2012122⪛⫼⪩⨒∯112130=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯-302101⨓⪩⨒∯33020=⪩⨒∯-33023","layer":2},{"info":"⪩⨒∯1001000≁↽≥⪩⨒∯2013012=⪩⨒∯101222030","layer":3},{"info":"⪩⨒∯1210323⋹⋡⊁⪩⨒∯221113=⪩⨒∯311011","layer":3},{"info":"⪩⨒∯101222030⨿⪩⨒∯311011=⪩⨒∯-10333","layer":2},{"info":"⪩⨒∯-33023∠↢⪩⨒∯-10333=⪩⨒∯2103120","layer":1},{"info":"⪩⨒∯221320113↡⊰⫅⪩⨒∯2103120=⪩⨒∯10212300","layer":0}]}
{"id":477,"expression_no_base_symbol":"((($2794$⪨⊡$3713$)≫≃)∳⫺($5195$⨜⨶$1624$≨$2958$⋕⪉⪜$1072$))⫠","expression":"(((⪩⨒∯223222⪨⊡⪩⨒∯322001)≫≃)∳⫺(⪩⨒∯1101023⨜⨶⪩⨒∯121120≨⪩⨒∯232032⋕⪉⪜⪩⨒∯100300))⫠","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":125409,"operation_count":7,"complexity_ratio":17915.571428571428,"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":2794,"base":4},"right_expr":{"type":"numeric_atoms","value":3713,"base":4}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":5195,"base":4},"right_expr":{"type":"numeric_atoms","value":1624,"base":4}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":2958,"base":4},"right_expr":{"type":"numeric_atoms","value":1072,"base":4}}}}},"used_operators":["6SnOT2rOjz","AzXXKTstlj","X99M06cbEe","kuIXHzHcAH","0KMCeP1Jsh","HiPekx5b7W","z6LnFrNh4i"],"dependent_operators":["Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2794","layer":4},{"info":"number node, value=3713","layer":4},{"info":"compute binary expreesion, left_input=2794, right_input=3713, 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 = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":2},{"info":"number node, value=5195","layer":4},{"info":"number node, value=1624","layer":4},{"info":"compute binary expreesion, left_input=5195, right_input=1624, 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=-2992","layer":3},{"info":"number node, value=2958","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=2958, right_input=1072, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-2992, right_input=2802, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=6640","layer":2},{"info":"compute binary expreesion, left_input=1401, right_input=6640, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-7614","layer":1},{"info":"compute unary expreesion, input=-7614, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯223222⪨⊡⪩⨒∯322001)≫≃)∳⫺(⪩⨒∯1101023⨜⨶⪩⨒∯121120≨⪩⨒∯232032⋕⪉⪜⪩⨒∯100300))⫠=⪩⨒∯0","reverse_text":"⪩⨒∯0=(((⪩⨒∯223222⪨⊡⪩⨒∯322001)≫≃)∳⫺(⪩⨒∯1101023⨜⨶⪩⨒∯121120≨⪩⨒∯232032⋕⪉⪜⪩⨒∯100300))⫠","cot":[{"info":"⪩⨒∯223222⪨⊡⪩⨒∯322001=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0≫≃=⪩⨒∯111321","layer":2},{"info":"⪩⨒∯1101023⨜⨶⪩⨒∯121120=⪩⨒∯-232300","layer":3},{"info":"⪩⨒∯232032⋕⪉⪜⪩⨒∯100300=⪩⨒∯223302","layer":3},{"info":"⪩⨒∯-232300≨⪩⨒∯223302=⪩⨒∯1213300","layer":2},{"info":"⪩⨒∯111321∳⫺⪩⨒∯1213300=⪩⨒∯-1312332","layer":1},{"info":"⪩⨒∯-1312332⫠=⪩⨒∯0","layer":0}]}
{"id":478,"expression_no_base_symbol":"($2638$⫉⨲⊜$4838$⩧⪆(⇘$5330$))⊲⩕⊾($3473$∳⫺$4796$⫲⨊)⫳≱↱(⇤←$3283$⊋$1263$)↬($1204$∺≝⩲$1779$∽$2047$⩍⋽⫝̸$2352$)","expression":"(⪩⨒∯221032⫉⨲⊜⪩⨒∯1023212⩧⪆(⇘⪩⨒∯1103102))⊲⩕⊾(⪩⨒∯312101∳⫺⪩⨒∯1022330⫲⨊)⫳≱↱(⇤←⪩⨒∯303103⊋⪩⨒∯103233)↬(⪩⨒∯102310∺≝⩲⪩⨒∯123303∽⪩⨒∯133333⩍⋽⫝̸⪩⨒∯210300)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15121,"operation_count":13,"complexity_ratio":1163.1538461538462,"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":2638,"base":4},"right_expr":{"type":"numeric_atoms","value":4838,"base":4}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":5330,"base":4}}},"right_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":3473,"base":4},"right_expr":{"type":"numeric_atoms","value":4796,"base":4}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3283,"base":4},"right_expr":{"type":"numeric_atoms","value":1263,"base":4}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1204,"base":4},"right_expr":{"type":"numeric_atoms","value":1779,"base":4}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2047,"base":4},"right_expr":{"type":"numeric_atoms","value":2352,"base":4}}}}},"used_operators":["ZvLB05nZmT","DmTXOeWf9t","Ikt5ks8PT7","WhqkvtTD3t","MGuIdZPyUC","CArV6hThFE","AzXXKTstlj","B5M0gjZbta","jfAgQ2OQeM","W4tP9CfskL","y4ImoPnbV5","KPf6cnQVty","BiWNJpBvwn"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eewbuw0ToL","t8gj7n24qd","eewbuw0ToL","zVYPLywUTj","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rGHVDoGpnC","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⪩⨒∯-223302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2638","layer":4},{"info":"number node, value=4838","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=4838, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=5330","layer":4},{"info":"compute unary expreesion, input=5330, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=314182","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=314182, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-314182","layer":2},{"info":"number node, value=3473","layer":4},{"info":"number node, value=4796","layer":4},{"info":"compute binary expreesion, left_input=3473, right_input=4796, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=-517","layer":2},{"info":"compute binary expreesion, left_input=-314182, right_input=-517, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-612512","layer":1},{"info":"number node, value=3283","layer":4},{"info":"number node, value=1263","layer":4},{"info":"compute binary expreesion, left_input=3283, right_input=1263, 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=19478140","layer":3},{"info":"compute unary expreesion, input=19478140, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-97389334","layer":2},{"info":"number node, value=1204","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=1779, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2047","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=2352, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1406","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1406, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-4840","layer":2},{"info":"compute binary expreesion, left_input=-97389334, right_input=-4840, 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=-612512, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯221032⫉⨲⊜⪩⨒∯1023212⩧⪆(⇘⪩⨒∯1103102))⊲⩕⊾(⪩⨒∯312101∳⫺⪩⨒∯1022330⫲⨊)⫳≱↱(⇤←⪩⨒∯303103⊋⪩⨒∯103233)↬(⪩⨒∯102310∺≝⩲⪩⨒∯123303∽⪩⨒∯133333⩍⋽⫝̸⪩⨒∯210300)=⪩⨒∯-223302","reverse_text":"⪩⨒∯-223302=(⪩⨒∯221032⫉⨲⊜⪩⨒∯1023212⩧⪆(⇘⪩⨒∯1103102))⊲⩕⊾(⪩⨒∯312101∳⫺⪩⨒∯1022330⫲⨊)⫳≱↱(⇤←⪩⨒∯303103⊋⪩⨒∯103233)↬(⪩⨒∯102310∺≝⩲⪩⨒∯123303∽⪩⨒∯133333⩍⋽⫝̸⪩⨒∯210300)","cot":[{"info":"⪩⨒∯221032⫉⨲⊜⪩⨒∯1023212=⪩⨒∯0","layer":3},{"info":"⇘⪩⨒∯1103102=⪩⨒∯1030231012","layer":3},{"info":"⪩⨒∯0⩧⪆⪩⨒∯1030231012=⪩⨒∯-1030231012","layer":2},{"info":"⪩⨒∯312101∳⫺⪩⨒∯1022330=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯-10010⫲⨊=⪩⨒∯-20011","layer":2},{"info":"⪩⨒∯-1030231012⊲⩕⊾⪩⨒∯-20011=⪩⨒∯-2111202200","layer":1},{"info":"⪩⨒∯303103⊋⪩⨒∯103233=⪩⨒∯1022103121330","layer":3},{"info":"⇤←⪩⨒∯1022103121330=⪩⨒∯-11303200230112","layer":2},{"info":"⪩⨒∯102310∺≝⩲⪩⨒∯123303=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯133333⩍⋽⫝̸⪩⨒∯210300=⪩⨒∯111332","layer":3},{"info":"⪩⨒∯2200∽⪩⨒∯111332=⪩⨒∯-1023220","layer":2},{"info":"⪩⨒∯-11303200230112↬⪩⨒∯-1023220=NaN","layer":1},{"info":"⪩⨒∯-2111202200⫳≱↱NaN=⪩⨒∯-223302","layer":0}]}
{"id":479,"expression_no_base_symbol":"(($2703$⩧⪆$4414$)⨔⇊($3035$⇣⩺⋵$1371$)∸)∷(⇋↷($3374$⊲⩕⊾$5118$⫌⩉⩟$1123$⇍⊗$2581$))","expression":"((⪩⨒∯222033⩧⪆⪩⨒∯1010332)⨔⇊(⪩⨒∯233123⇣⩺⋵⪩⨒∯111123)∸)∷(⇋↷(⪩⨒∯310232⊲⩕⊾⪩⨒∯1033332⫌⩉⩟⪩⨒∯101203⇍⊗⪩⨒∯220111))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":64377,"operation_count":9,"complexity_ratio":7153.0,"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":2703,"base":4},"right_expr":{"type":"numeric_atoms","value":4414,"base":4}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":3035,"base":4},"right_expr":{"type":"numeric_atoms","value":1371,"base":4}}}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":3374,"base":4},"right_expr":{"type":"numeric_atoms","value":5118,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1123,"base":4},"right_expr":{"type":"numeric_atoms","value":2581,"base":4}}}}},"used_operators":["D3AQDKkPcf","o20kRiQErp","JclMnS0uGI","Ikt5ks8PT7","F4yD0voBRQ","SWo3A1KBJH","XIIwhv8d0m","DmTXOeWf9t","5uvYHDjeKN"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","tmPS8pqC7x","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eewbuw0ToL","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⪩⨒∯-33023","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2703","layer":4},{"info":"number node, value=4414","layer":4},{"info":"compute binary expreesion, left_input=2703, right_input=4414, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4414","layer":3},{"info":"number node, value=3035","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=3035, right_input=1371, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-4414, right_input=-260, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-25323","layer":2},{"info":"compute unary expreesion, input=-25323, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=3374","layer":4},{"info":"number node, value=5118","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=5118, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-101794","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=2581, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-101794, right_input=-244, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=-400","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-400, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-971","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯222033⩧⪆⪩⨒∯1010332)⨔⇊(⪩⨒∯233123⇣⩺⋵⪩⨒∯111123)∸)∷(⇋↷(⪩⨒∯310232⊲⩕⊾⪩⨒∯1033332⫌⩉⩟⪩⨒∯101203⇍⊗⪩⨒∯220111))=⪩⨒∯-33023","reverse_text":"⪩⨒∯-33023=((⪩⨒∯222033⩧⪆⪩⨒∯1010332)⨔⇊(⪩⨒∯233123⇣⩺⋵⪩⨒∯111123)∸)∷(⇋↷(⪩⨒∯310232⊲⩕⊾⪩⨒∯1033332⫌⩉⩟⪩⨒∯101203⇍⊗⪩⨒∯220111))","cot":[{"info":"⪩⨒∯222033⩧⪆⪩⨒∯1010332=⪩⨒∯-1010332","layer":3},{"info":"⪩⨒∯233123⇣⩺⋵⪩⨒∯111123=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯-1010332⨔⇊⪩⨒∯-10010=⪩⨒∯-12023223","layer":2},{"info":"⪩⨒∯-12023223∸=⪩⨒∯2301","layer":1},{"info":"⪩⨒∯310232⊲⩕⊾⪩⨒∯1033332=⪩⨒∯-120312202","layer":3},{"info":"⪩⨒∯101203⇍⊗⪩⨒∯220111=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯-120312202⫌⩉⩟⪩⨒∯-3310=⪩⨒∯-302","layer":2},{"info":"⇋↷⪩⨒∯-302=⪩⨒∯-12100","layer":1},{"info":"⪩⨒∯2301∷⪩⨒∯-12100=⪩⨒∯-33023","layer":0}]}
{"id":480,"expression_no_base_symbol":"((($1212$∙⊟$5398$)⫸⊐$3157$⩇∃⫛$1680$)⪘⫢((⨵≀≌$5968$)%$2308$⋥⋵⩄$4465$))⩣⫁∢($1801$⊋$1585$⋳⪒$1325$⪶≀⋏$5151$∕⩚(↩$7859$∥⊢⊲$2716$))","expression":"(((⪩⨒∯102330∙⊟⪩⨒∯1110112)⫸⊐⪩⨒∯301111⩇∃⫛⪩⨒∯122100)⪘⫢((⨵≀≌⪩⨒∯1131100)%⪩⨒∯210010⋥⋵⩄⪩⨒∯1011301))⩣⫁∢(⪩⨒∯130021⊋⪩⨒∯120301⋳⪒⪩⨒∯110231⪶≀⋏⪩⨒∯1100133∕⩚(↩⪩⨒∯1322303∥⊢⊲⪩⨒∯222130))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2132,"operation_count":14,"complexity_ratio":152.28571428571428,"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":4},"right_expr":{"type":"numeric_atoms","value":5398,"base":4}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":3157,"base":4},"right_expr":{"type":"numeric_atoms","value":1680,"base":4}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5968,"base":4}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":2308,"base":4},"right_expr":{"type":"numeric_atoms","value":4465,"base":4}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1801,"base":4},"right_expr":{"type":"numeric_atoms","value":1585,"base":4}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1325,"base":4},"right_expr":{"type":"numeric_atoms","value":5151,"base":4}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":7859,"base":4},"right_expr":{"type":"numeric_atoms","value":2716,"base":4}}}}},"used_operators":["JDUIKTTSIa","oacrs7FA3X","mqXw5SEYmG","SxTAKzQCrw","1aApVXNlOP","k8jYdgA6NY","srAu1WTS94","7t3wd0Fuz7","z9ffQ9n5Zr","12rbrZMWeM","W4tP9CfskL","zR4jO40bMj","jLgFTUHLKL","v1UQAVDJRr"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","EBcxylXtPf","rGHVDoGpnC"],"result":"⪩⨒∯2203","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"number node, value=5398","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=5398, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=25602","layer":3},{"info":"number node, value=3157","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=1680, 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=-1004","layer":3},{"info":"compute binary expreesion, left_input=25602, right_input=-1004, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-2137","layer":2},{"info":"number node, value=5968","layer":4},{"info":"compute unary expreesion, input=5968, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17904","layer":3},{"info":"number node, value=2308","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=4465, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-17904, right_input=113, op_id = k8jYdgA6NY binary_op_definition= 'None', output=63","layer":2},{"info":"compute binary expreesion, left_input=-2137, right_input=63, 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=1801","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=1801, right_input=1585, 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=3069180","layer":3},{"info":"number node, value=1325","layer":4},{"info":"number node, value=5151","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=5151, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-14509","layer":3},{"info":"compute binary expreesion, left_input=3069180, right_input=-14509, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6152582","layer":2},{"info":"number node, value=7859","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=7859, right_input=2716, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6152582, 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=-1, right_input=-487, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=163","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯102330∙⊟⪩⨒∯1110112)⫸⊐⪩⨒∯301111⩇∃⫛⪩⨒∯122100)⪘⫢((⨵≀≌⪩⨒∯1131100)%⪩⨒∯210010⋥⋵⩄⪩⨒∯1011301))⩣⫁∢(⪩⨒∯130021⊋⪩⨒∯120301⋳⪒⪩⨒∯110231⪶≀⋏⪩⨒∯1100133∕⩚(↩⪩⨒∯1322303∥⊢⊲⪩⨒∯222130))=⪩⨒∯2203","reverse_text":"⪩⨒∯2203=(((⪩⨒∯102330∙⊟⪩⨒∯1110112)⫸⊐⪩⨒∯301111⩇∃⫛⪩⨒∯122100)⪘⫢((⨵≀≌⪩⨒∯1131100)%⪩⨒∯210010⋥⋵⩄⪩⨒∯1011301))⩣⫁∢(⪩⨒∯130021⊋⪩⨒∯120301⋳⪒⪩⨒∯110231⪶≀⋏⪩⨒∯1100133∕⩚(↩⪩⨒∯1322303∥⊢⊲⪩⨒∯222130))","cot":[{"info":"⪩⨒∯102330∙⊟⪩⨒∯1110112=⪩⨒∯12100002","layer":3},{"info":"⪩⨒∯301111⩇∃⫛⪩⨒∯122100=⪩⨒∯-33230","layer":3},{"info":"⪩⨒∯12100002⫸⊐⪩⨒∯-33230=⪩⨒∯-201121","layer":2},{"info":"⨵≀≌⪩⨒∯1131100=⪩⨒∯-10113300","layer":3},{"info":"⪩⨒∯210010⋥⋵⩄⪩⨒∯1011301=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯-10113300%⪩⨒∯1301=⪩⨒∯333","layer":2},{"info":"⪩⨒∯-201121⪘⫢⪩⨒∯333=⪩⨒∯-1","layer":1},{"info":"⪩⨒∯130021⊋⪩⨒∯120301=⪩⨒∯23231103330","layer":3},{"info":"⪩⨒∯110231⪶≀⋏⪩⨒∯1100133=⪩⨒∯-3202231","layer":3},{"info":"⪩⨒∯23231103330⋳⪒⪩⨒∯-3202231=⪩⨒∯113132012012","layer":2},{"info":"⪩⨒∯1322303∥⊢⊲⪩⨒∯222130=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"⪩⨒∯113132012012∕⩚NaN=⪩⨒∯-13213","layer":1},{"info":"⪩⨒∯-1⩣⫁∢⪩⨒∯-13213=⪩⨒∯2203","layer":0}]}
{"id":481,"expression_no_base_symbol":"(⋼∭⪍$4860$⪪$6386$)⩘(($6640$≣⋋)∈)↼⊘⨖(($6880$⋷$1023$)⊴($3870$⪍↜⋙$1205$)∠↢(($3578$⇷$1212$)⨱∎))","expression":"(⋼∭⪍⪩⨒∯1023330⪪⪩⨒∯1203302)⩘((⪩⨒∯1213300≣⋋)∈)↼⊘⨖((⪩⨒∯1223200⋷⪩⨒∯33333)⊴(⪩⨒∯330132⪍↜⋙⪩⨒∯102311)∠↢((⪩⨒∯313322⇷⪩⨒∯102330)⨱∎))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13212796,"operation_count":12,"complexity_ratio":1101066.3333333333,"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":4860,"base":4},"right_expr":{"type":"numeric_atoms","value":6386,"base":4}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6640,"base":4}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6880,"base":4},"right_expr":{"type":"numeric_atoms","value":1023,"base":4}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3870,"base":4},"right_expr":{"type":"numeric_atoms","value":1205,"base":4}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3578,"base":4},"right_expr":{"type":"numeric_atoms","value":1212,"base":4}}}}},"used_operators":["bPywburJMS","cHh1gJQ2o6","DbCuESL50I","xD69zh8xqp","ztP7wcbY7m","Tcnh7f0tEr","KbjG8mgYpV","Nsiff2A1zJ","23Mk6UjR3U","L05ObWFQCd","MmTdOpaElr","mp7IySMOzn"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","tifHPKVTfV","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4860","layer":4},{"info":"number node, value=6386","layer":4},{"info":"compute binary expreesion, left_input=4860, right_input=6386, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-729949","layer":3},{"info":"compute unary expreesion, input=-729949, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-4379592","layer":2},{"info":"number node, value=6640","layer":4},{"info":"compute unary expreesion, input=6640, 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 = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-671","layer":2},{"info":"compute binary expreesion, left_input=-4379592, right_input=-671, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=6880","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=6880, right_input=1023, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4834","layer":3},{"info":"number node, value=3870","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=3870, right_input=1205, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=5330","layer":3},{"info":"compute binary expreesion, left_input=-4834, right_input=5330, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3578","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=1212, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2424","layer":3},{"info":"compute unary expreesion, input=2424, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⋼∭⪍⪩⨒∯1023330⪪⪩⨒∯1203302)⩘((⪩⨒∯1213300≣⋋)∈)↼⊘⨖((⪩⨒∯1223200⋷⪩⨒∯33333)⊴(⪩⨒∯330132⪍↜⋙⪩⨒∯102311)∠↢((⪩⨒∯313322⇷⪩⨒∯102330)⨱∎))=NaN","reverse_text":"NaN=(⋼∭⪍⪩⨒∯1023330⪪⪩⨒∯1203302)⩘((⪩⨒∯1213300≣⋋)∈)↼⊘⨖((⪩⨒∯1223200⋷⪩⨒∯33333)⊴(⪩⨒∯330132⪍↜⋙⪩⨒∯102311)∠↢((⪩⨒∯313322⇷⪩⨒∯102330)⨱∎))","cot":[{"info":"⪩⨒∯1023330⪪⪩⨒∯1203302=⪩⨒∯-2302031131","layer":3},{"info":"⋼∭⪍⪩⨒∯-2302031131=⪩⨒∯-100231033020","layer":2},{"info":"⪩⨒∯1213300≣⋋=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0∈=⪩⨒∯-22133","layer":2},{"info":"⪩⨒∯-100231033020⩘⪩⨒∯-22133=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯1223200⋷⪩⨒∯33333=⪩⨒∯-1023202","layer":3},{"info":"⪩⨒∯330132⪍↜⋙⪩⨒∯102311=⪩⨒∯1103102","layer":3},{"info":"⪩⨒∯-1023202⊴⪩⨒∯1103102=NaN","layer":2},{"info":"⪩⨒∯313322⇷⪩⨒∯102330=⪩⨒∯211320","layer":3},{"info":"⪩⨒∯211320⨱∎=⪩⨒∯0","layer":2},{"info":"NaN∠↢⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯2200↼⊘⨖NaN=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"((↽≂($8740$⩁))⨔≚≋(-$2199$⇡⇂$1086$))⇂≾⫗(($1234$⊍⩺⋍$1233$)⨿$7350$≁↽≥$4152$⫘($1094$≭$2579$⩨$3439$⨔⇊$3548$))","expression":"((↽≂(⪩⨒∯2020210⩁))⨔≚≋(-⪩⨒∯202113⇡⇂⪩⨒∯100332))⇂≾⫗((⪩⨒∯103102⊍⩺⋍⪩⨒∯103101)⨿⪩⨒∯1302312≁↽≥⪩⨒∯1000320⫘(⪩⨒∯101012≭⪩⨒∯220103⩨⪩⨒∯311233⨔⇊⪩⨒∯313130))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8213,"operation_count":13,"complexity_ratio":631.7692307692307,"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":8740,"base":4}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2199,"base":4},"right_expr":{"type":"numeric_atoms","value":1086,"base":4}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":1234,"base":4},"right_expr":{"type":"numeric_atoms","value":1233,"base":4}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":7350,"base":4},"right_expr":{"type":"numeric_atoms","value":4152,"base":4}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1094,"base":4},"right_expr":{"type":"numeric_atoms","value":2579,"base":4}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":3439,"base":4},"right_expr":{"type":"numeric_atoms","value":3548,"base":4}}}}},"used_operators":["aBQ6xLxuTc","Z57zeUYC9z","u6S6b8DprG","5GqDbVmqXU","t8gj7n24qd","UMwdvZNt44","48vC8HMD2b","abYXlopdE0","OXDGMFPWZM","ncHt1X6cMc","2DlMacCsIx","rxpJgHHUmx","JclMnS0uGI"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","oWn0xqSxBt","3Oe9XWJUTD","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8740","layer":4},{"info":"compute unary expreesion, input=8740, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-67140","layer":3},{"info":"compute unary expreesion, input=-67140, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=134280","layer":2},{"info":"number node, value=2199","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=1086, 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 = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=134280, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":1},{"info":"number node, value=1234","layer":4},{"info":"number node, value=1233","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=1233, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=7350","layer":4},{"info":"number node, value=4152","layer":4},{"info":"compute binary expreesion, left_input=7350, right_input=4152, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=97090","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=97090, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=1094","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=2579, 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=3439","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=3548, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3548","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3548, 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=67, right_input=nan, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=86069","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=86069, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((↽≂(⪩⨒∯2020210⩁))⨔≚≋(-⪩⨒∯202113⇡⇂⪩⨒∯100332))⇂≾⫗((⪩⨒∯103102⊍⩺⋍⪩⨒∯103101)⨿⪩⨒∯1302312≁↽≥⪩⨒∯1000320⫘(⪩⨒∯101012≭⪩⨒∯220103⩨⪩⨒∯311233⨔⇊⪩⨒∯313130))=NaN","reverse_text":"NaN=((↽≂(⪩⨒∯2020210⩁))⨔≚≋(-⪩⨒∯202113⇡⇂⪩⨒∯100332))⇂≾⫗((⪩⨒∯103102⊍⩺⋍⪩⨒∯103101)⨿⪩⨒∯1302312≁↽≥⪩⨒∯1000320⫘(⪩⨒∯101012≭⪩⨒∯220103⩨⪩⨒∯311233⨔⇊⪩⨒∯313130))","cot":[{"info":"⪩⨒∯2020210⩁=⪩⨒∯-100121010","layer":3},{"info":"↽≂⪩⨒∯-100121010=⪩⨒∯200302020","layer":2},{"info":"⪩⨒∯202113⇡⇂⪩⨒∯100332=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"⪩⨒∯200302020⨔≚≋NaN=NaN","layer":1},{"info":"⪩⨒∯103102⊍⩺⋍⪩⨒∯103101=NaN","layer":3},{"info":"⪩⨒∯1302312≁↽≥⪩⨒∯1000320=⪩⨒∯113231002","layer":3},{"info":"NaN⨿⪩⨒∯113231002=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯101012≭⪩⨒∯220103=NaN","layer":3},{"info":"⪩⨒∯311233⨔⇊⪩⨒∯313130=⪩⨒∯313130","layer":3},{"info":"NaN⩨⪩⨒∯313130=NaN","layer":2},{"info":"⪩⨒∯1003⫘NaN=⪩⨒∯111000311","layer":1},{"info":"NaN⇂≾⫗⪩⨒∯111000311=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"(∡$1694$⨓$4296$)∌(⨩∲⋌$2222$⨔⇊$5760$)∌↝(($1185$⊅)⨑≵⋬(≤/$4232$)∕⩚($1099$⊲⩕⊾$1645$⨱∎))","expression":"(∡⪩⨒∯122132⨓⪩⨒∯1003020)∌(⨩∲⋌⪩⨒∯202232⨔⇊⪩⨒∯1122000)∌↝((⪩⨒∯102201⊅)⨑≵⋬(≤/⪩⨒∯1002020)∕⩚(⪩⨒∯101023⊲⩕⊾⪩⨒∯121231⨱∎))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4522,"operation_count":12,"complexity_ratio":376.8333333333333,"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":1694,"base":4},"right_expr":{"type":"numeric_atoms","value":4296,"base":4}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":2222,"base":4},"right_expr":{"type":"numeric_atoms","value":5760,"base":4}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"numeric_atoms","value":1185,"base":4}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4232,"base":4}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1099,"base":4},"right_expr":{"type":"numeric_atoms","value":1645,"base":4}}}}},"used_operators":["9Isq31Ruls","8cLx32lpNA","pRsWfj4Fpp","3ViojmjbAp","aSik1wnThz","JclMnS0uGI","z9ffQ9n5Zr","XnXgA4xnOs","7p6YLioM7f","eLAdDNolq6","MmTdOpaElr","DmTXOeWf9t"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","rysDP5nf3Z","tifHPKVTfV","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1694","layer":4},{"info":"number node, value=4296","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=4296, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4299","layer":3},{"info":"compute unary expreesion, input=-4299, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=25794","layer":2},{"info":"number node, value=2222","layer":4},{"info":"number node, value=5760","layer":4},{"info":"compute binary expreesion, left_input=2222, right_input=5760, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5760","layer":3},{"info":"compute unary expreesion, input=5760, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-6283","layer":2},{"info":"compute binary expreesion, left_input=25794, right_input=-6283, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=6283","layer":1},{"info":"number node, value=1185","layer":4},{"info":"compute unary expreesion, input=1185, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":3},{"info":"number node, value=4232","layer":4},{"info":"compute unary expreesion, input=4232, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3748","layer":3},{"info":"compute binary expreesion, left_input=-174, right_input=-3748, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=35273","layer":2},{"info":"number node, value=1099","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1645, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-30664","layer":3},{"info":"compute unary expreesion, input=-30664, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=35273, right_input=0, 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=6283, right_input=-487, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(∡⪩⨒∯122132⨓⪩⨒∯1003020)∌(⨩∲⋌⪩⨒∯202232⨔⇊⪩⨒∯1122000)∌↝((⪩⨒∯102201⊅)⨑≵⋬(≤/⪩⨒∯1002020)∕⩚(⪩⨒∯101023⊲⩕⊾⪩⨒∯121231⨱∎))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(∡⪩⨒∯122132⨓⪩⨒∯1003020)∌(⨩∲⋌⪩⨒∯202232⨔⇊⪩⨒∯1122000)∌↝((⪩⨒∯102201⊅)⨑≵⋬(≤/⪩⨒∯1002020)∕⩚(⪩⨒∯101023⊲⩕⊾⪩⨒∯121231⨱∎))","cot":[{"info":"⪩⨒∯122132⨓⪩⨒∯1003020=⪩⨒∯-1003023","layer":3},{"info":"∡⪩⨒∯-1003023=⪩⨒∯12103002","layer":2},{"info":"⪩⨒∯202232⨔⇊⪩⨒∯1122000=⪩⨒∯1122000","layer":3},{"info":"⨩∲⋌⪩⨒∯1122000=⪩⨒∯-1202023","layer":2},{"info":"⪩⨒∯12103002∌⪩⨒∯-1202023=⪩⨒∯1202023","layer":1},{"info":"⪩⨒∯102201⊅=⪩⨒∯-2232","layer":3},{"info":"≤/⪩⨒∯1002020=⪩⨒∯-322210","layer":3},{"info":"⪩⨒∯-2232⨑≵⋬⪩⨒∯-322210=⪩⨒∯20213021","layer":2},{"info":"⪩⨒∯101023⊲⩕⊾⪩⨒∯121231=⪩⨒∯-13133020","layer":3},{"info":"⪩⨒∯-13133020⨱∎=⪩⨒∯0","layer":2},{"info":"⪩⨒∯20213021∕⩚⪩⨒∯0=⪩⨒∯-13213","layer":1},{"info":"⪩⨒∯1202023∌↝⪩⨒∯-13213=⪩⨒∯0","layer":0}]}
{"id":484,"expression_no_base_symbol":"(((⨝⨆$1678$)⋻⩜⩜$7321$⋥≓≎$2075$)⪭((∓⪦$2730$)⊀⩕))∳⫺(⨵≀≌(∐⩳⋚$5542$)⫉⨲⊜($1836$⊬⨰$1919$))","expression":"(((⨝⨆⪩⨒∯122032)⋻⩜⩜⪩⨒∯1302121⋥≓≎⪩⨒∯200123)⪭((∓⪦⪩⨒∯222222)⊀⩕))∳⫺(⨵≀≌(∐⩳⋚⪩⨒∯1112212)⫉⨲⊜(⪩⨒∯130230⊬⨰⪩⨒∯131333))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45624,"operation_count":11,"complexity_ratio":4147.636363636364,"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":1678,"base":4}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7321,"base":4},"right_expr":{"type":"numeric_atoms","value":2075,"base":4}}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":2730,"base":4}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":5542,"base":4}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1836,"base":4},"right_expr":{"type":"numeric_atoms","value":1919,"base":4}}}}},"used_operators":["AzXXKTstlj","j9kHMeSvPp","oDCm7WA9JY","bQ67fsrMVf","Qy55tPpLXF","r0FS3hW4cC","D309nIvmXG","srAu1WTS94","WhqkvtTD3t","SL6IHkK8vl","s3Fd5m9Dh2"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","COABgblf1C","xUOZtlo3hN","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","tifHPKVTfV","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","nhYeJWJD5X","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","eewbuw0ToL","zVYPLywUTj","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"⪩⨒∯-10010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1678","layer":4},{"info":"compute unary expreesion, input=1678, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1469","layer":3},{"info":"number node, value=7321","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=7321, right_input=2075, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3138","layer":3},{"info":"compute binary expreesion, left_input=1469, right_input=-3138, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2938","layer":2},{"info":"number node, value=2730","layer":4},{"info":"compute unary expreesion, input=2730, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=2322","layer":3},{"info":"compute unary expreesion, input=2322, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2938, 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=5542","layer":4},{"info":"compute unary expreesion, input=5542, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=818459","layer":3},{"info":"number node, value=1836","layer":4},{"info":"number node, value=1919","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=1919, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8456","layer":3},{"info":"compute binary expreesion, left_input=818459, right_input=8456, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=5, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":4,"result_base":4,"text":"(((⨝⨆⪩⨒∯122032)⋻⩜⩜⪩⨒∯1302121⋥≓≎⪩⨒∯200123)⪭((∓⪦⪩⨒∯222222)⊀⩕))∳⫺(⨵≀≌(∐⩳⋚⪩⨒∯1112212)⫉⨲⊜(⪩⨒∯130230⊬⨰⪩⨒∯131333))=⪩⨒∯-10010","reverse_text":"⪩⨒∯-10010=(((⨝⨆⪩⨒∯122032)⋻⩜⩜⪩⨒∯1302121⋥≓≎⪩⨒∯200123)⪭((∓⪦⪩⨒∯222222)⊀⩕))∳⫺(⨵≀≌(∐⩳⋚⪩⨒∯1112212)⫉⨲⊜(⪩⨒∯130230⊬⨰⪩⨒∯131333))","cot":[{"info":"⨝⨆⪩⨒∯122032=⪩⨒∯112331","layer":3},{"info":"⪩⨒∯1302121⋥≓≎⪩⨒∯200123=⪩⨒∯-301002","layer":3},{"info":"⪩⨒∯112331⋻⩜⩜⪩⨒∯-301002=⪩⨒∯231322","layer":2},{"info":"∓⪦⪩⨒∯222222=⪩⨒∯210102","layer":3},{"info":"⪩⨒∯210102⊀⩕=⪩⨒∯0","layer":2},{"info":"⪩⨒∯231322⪭⪩⨒∯0=⪩⨒∯11","layer":1},{"info":"∐⩳⋚⪩⨒∯1112212=⪩⨒∯3013310123","layer":3},{"info":"⪩⨒∯130230⊬⨰⪩⨒∯131333=⪩⨒∯2010020","layer":3},{"info":"⪩⨒∯3013310123⫉⨲⊜⪩⨒∯2010020=⪩⨒∯0","layer":2},{"info":"⨵≀≌⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯11∳⫺⪩⨒∯0=⪩⨒∯-10010","layer":0}]}
{"id":485,"expression_no_base_symbol":"($2301$⩁⩘$8228$⊝⪿⪼(⫖→$1765$))≨(($1033$⨶)⇮⋭($9178$∲⫓$1061$))⋭≵((↯⪼$1630$∌$4465$)⫌⩉⩟(↑(∟⋨$1121$)))","expression":"(⪩⨒∯203331⩁⩘⪩⨒∯2000210⊝⪿⪼(⫖→⪩⨒∯123211))≨((⪩⨒∯100021⨶)⇮⋭(⪩⨒∯2033122∲⫓⪩⨒∯100211))⋭≵((↯⪼⪩⨒∯121132∌⪩⨒∯1011301)⫌⩉⩟(↑(∟⋨⪩⨒∯101201)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43442,"operation_count":13,"complexity_ratio":3341.6923076923076,"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":2301,"base":4},"right_expr":{"type":"numeric_atoms","value":8228,"base":4}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"numeric_atoms","value":1765,"base":4}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1033,"base":4}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":9178,"base":4},"right_expr":{"type":"numeric_atoms","value":1061,"base":4}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1630,"base":4},"right_expr":{"type":"numeric_atoms","value":4465,"base":4}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1121,"base":4}}}}},"used_operators":["jBncVCNhdl","0KMCeP1Jsh","3Oe9XWJUTD","gub5Cegaqo","U4ylXWHChL","vkpjKywKVM","rFxw8gIMmB","i8ToyICDmI","XIIwhv8d0m","8jW3W4yZS5","8cLx32lpNA","tR7O2zTn5j","ctOc4cKSDt"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DpFCA1CohY","IWmyXbctLI","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","f6k1SAg4EE","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","eLAdDNolq6","tmPS8pqC7x"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2301","layer":4},{"info":"number node, value=8228","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=8228, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=33860","layer":3},{"info":"number node, value=1765","layer":4},{"info":"compute unary expreesion, input=1765, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=33860, right_input=177, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=449670","layer":2},{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=320","layer":3},{"info":"number node, value=9178","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=9178, right_input=1061, 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=320, right_input=0, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=449670, right_input=-473, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-4494224","layer":1},{"info":"number node, value=1630","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=4465, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-4465","layer":3},{"info":"compute unary expreesion, input=-4465, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=8013","layer":2},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-637","layer":3},{"info":"compute unary expreesion, input=-637, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=8013, right_input=192, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=-4494224, right_input=-50, 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":4,"result_base":4,"text":"(⪩⨒∯203331⩁⩘⪩⨒∯2000210⊝⪿⪼(⫖→⪩⨒∯123211))≨((⪩⨒∯100021⨶)⇮⋭(⪩⨒∯2033122∲⫓⪩⨒∯100211))⋭≵((↯⪼⪩⨒∯121132∌⪩⨒∯1011301)⫌⩉⩟(↑(∟⋨⪩⨒∯101201)))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=(⪩⨒∯203331⩁⩘⪩⨒∯2000210⊝⪿⪼(⫖→⪩⨒∯123211))≨((⪩⨒∯100021⨶)⇮⋭(⪩⨒∯2033122∲⫓⪩⨒∯100211))⋭≵((↯⪼⪩⨒∯121132∌⪩⨒∯1011301)⫌⩉⩟(↑(∟⋨⪩⨒∯101201)))","cot":[{"info":"⪩⨒∯203331⩁⩘⪩⨒∯2000210=⪩⨒∯20101010","layer":3},{"info":"⫖→⪩⨒∯123211=⪩⨒∯2301","layer":3},{"info":"⪩⨒∯20101010⊝⪿⪼⪩⨒∯2301=⪩⨒∯1231302012","layer":2},{"info":"⪩⨒∯100021⨶=⪩⨒∯11000","layer":3},{"info":"⪩⨒∯2033122∲⫓⪩⨒∯100211=⪩⨒∯0","layer":3},{"info":"⪩⨒∯11000⇮⋭⪩⨒∯0=⪩⨒∯-13121","layer":2},{"info":"⪩⨒∯1231302012≨⪩⨒∯-13121=⪩⨒∯-101021032100","layer":1},{"info":"⪩⨒∯121132∌⪩⨒∯1011301=⪩⨒∯-1011301","layer":3},{"info":"↯⪼⪩⨒∯-1011301=⪩⨒∯1331031","layer":2},{"info":"∟⋨⪩⨒∯101201=⪩⨒∯-21331","layer":3},{"info":"↑⪩⨒∯-21331=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯1331031⫌⩉⩟⪩⨒∯3000=⪩⨒∯-302","layer":1},{"info":"⪩⨒∯-101021032100⋭≵⪩⨒∯-302=⪩⨒∯1003","layer":0}]}
{"id":486,"expression_no_base_symbol":"$2923$∺≝⩲$1963$≹⇙⪍$8350$∳⫺$4322$⪍↜⋙(($2046$∟)⩨$1278$⋓$5902$)⊹≧⊝","expression":"⪩⨒∯231223∺≝⩲⪩⨒∯132223≹⇙⪍⪩⨒∯2002132∳⫺⪩⨒∯1003202⪍↜⋙((⪩⨒∯133332∟)⩨⪩⨒∯103332⋓⪩⨒∯1130032)⊹≧⊝","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":67781,"operation_count":8,"complexity_ratio":8472.625,"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":2923,"base":4},"right_expr":{"type":"numeric_atoms","value":1963,"base":4}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":8350,"base":4},"right_expr":{"type":"numeric_atoms","value":4322,"base":4}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":2046,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1278,"base":4},"right_expr":{"type":"numeric_atoms","value":5902,"base":4}}}}},"used_operators":["LxFB4K6j0n","L05ObWFQCd","AHs5Up7iyr","KPf6cnQVty","AzXXKTstlj","2DlMacCsIx","hTbEZDJLEm","T2fj7uvVaJ"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","dWAJyo7jo9","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=2923","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=1963, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=8350","layer":4},{"info":"number node, value=4322","layer":4},{"info":"compute binary expreesion, left_input=8350, right_input=4322, 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=160, right_input=-260, 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=2046","layer":4},{"info":"compute unary expreesion, input=2046, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=1278","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=5902, 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=113, 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=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 unary expreesion, input=nan, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯231223∺≝⩲⪩⨒∯132223≹⇙⪍⪩⨒∯2002132∳⫺⪩⨒∯1003202⪍↜⋙((⪩⨒∯133332∟)⩨⪩⨒∯103332⋓⪩⨒∯1130032)⊹≧⊝=NaN","reverse_text":"NaN=⪩⨒∯231223∺≝⩲⪩⨒∯132223≹⇙⪍⪩⨒∯2002132∳⫺⪩⨒∯1003202⪍↜⋙((⪩⨒∯133332∟)⩨⪩⨒∯103332⋓⪩⨒∯1130032)⊹≧⊝","cot":[{"info":"⪩⨒∯231223∺≝⩲⪩⨒∯132223=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2002132∳⫺⪩⨒∯1003202=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯2200≹⇙⪍⪩⨒∯-10010=NaN","layer":2},{"info":"⪩⨒∯133332∟=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯103332⋓⪩⨒∯1130032=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1301⩨⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"NaN⪍↜⋙⪩⨒∯0=NaN","layer":1},{"info":"NaN⊹≧⊝=NaN","layer":0}]}
{"id":487,"expression_no_base_symbol":"⊙↵-(⋃(⊑(↯⪼$4413$)))","expression":"⊙↵-(⋃(⊑(↯⪼⪩⨒∯1010331)))","highest_n_order":5,"priority_hierarchical_complexity":3,"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":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4413,"base":4}}}}},"used_operators":["oWn0xqSxBt","3mBM5G4a3l","IkUmn0D7oy","8jW3W4yZS5"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","g55IO6H4Gj","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"⪩⨒∯-1","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4413","layer":4},{"info":"compute unary expreesion, input=4413, 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 = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"compute unary expreesion, input=192, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=486","layer":1},{"info":"compute unary expreesion, input=486, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":4,"result_base":4,"text":"⊙↵-(⋃(⊑(↯⪼⪩⨒∯1010331)))=⪩⨒∯-1","reverse_text":"⪩⨒∯-1=⊙↵-(⋃(⊑(↯⪼⪩⨒∯1010331)))","cot":[{"info":"↯⪼⪩⨒∯1010331=⪩⨒∯-111","layer":3},{"info":"⊑⪩⨒∯-111=⪩⨒∯3000","layer":2},{"info":"⋃⪩⨒∯3000=⪩⨒∯13212","layer":1},{"info":"⊙↵-⪩⨒∯13212=⪩⨒∯-1","layer":0}]}
{"id":488,"expression_no_base_symbol":"(∤$1231$≬⇓$2538$)⨥⫆(⨰⫟⨤$2746$⩌⋺$1383$)∀⊥⇻","expression":"(∤⪩⨒∯103033≬⇓⪩⨒∯213222)⨥⫆(⨰⫟⨤⪩⨒∯222322⩌⋺⪩⨒∯111213)∀⊥⇻","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17945,"operation_count":6,"complexity_ratio":2990.8333333333335,"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":1231,"base":4},"right_expr":{"type":"numeric_atoms","value":2538,"base":4}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2746,"base":4},"right_expr":{"type":"numeric_atoms","value":1383,"base":4}}}}},"used_operators":["k4iM1060OG","yXekIHxTD4","k2HlF1dBQh","jWTQ2TZYIH","Tw270M8GLb","g7Hmc5v1ko"],"dependent_operators":["QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1231","layer":4},{"info":"number node, value=2538","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=2538, 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 = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=2746","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=2746, right_input=1383, 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=-4250","layer":3},{"info":"compute unary expreesion, input=-4250, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=nan, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢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":4,"result_base":4,"text":"(∤⪩⨒∯103033≬⇓⪩⨒∯213222)⨥⫆(⨰⫟⨤⪩⨒∯222322⩌⋺⪩⨒∯111213)∀⊥⇻=NaN","reverse_text":"NaN=(∤⪩⨒∯103033≬⇓⪩⨒∯213222)⨥⫆(⨰⫟⨤⪩⨒∯222322⩌⋺⪩⨒∯111213)∀⊥⇻","cot":[{"info":"⪩⨒∯103033≬⇓⪩⨒∯213222=⪩⨒∯-112","layer":3},{"info":"∤⪩⨒∯-112=⪩⨒∯21","layer":2},{"info":"⪩⨒∯222322⩌⋺⪩⨒∯111213=⪩⨒∯-1002122","layer":3},{"info":"⨰⫟⨤⪩⨒∯-1002122=NaN","layer":2},{"info":"⪩⨒∯21⨥⫆NaN=NaN","layer":1},{"info":"NaN∀⊥⇻=NaN","layer":0}]}
{"id":489,"expression_no_base_symbol":"⨵≀≌((⊲⪭$6180$)≠≀$1512$⊋$2522$)⇤($1337$⨚$6464$)∴($7177$⪓⨏)","expression":"⨵≀≌((⊲⪭⪩⨒∯1200210)≠≀⪩⨒∯113220⊋⪩⨒∯213122)⇤(⪩⨒∯110321⨚⪩⨒∯1211000)∴(⪩⨒∯1300021⪓⨏)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":94651309,"operation_count":8,"complexity_ratio":11831413.625,"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":6180,"base":4}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1512,"base":4},"right_expr":{"type":"numeric_atoms","value":2522,"base":4}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1337,"base":4},"right_expr":{"type":"numeric_atoms","value":6464,"base":4}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":7177,"base":4}}}}},"used_operators":["srAu1WTS94","YSKBFp38Pu","IwW236VD4Y","k7HXdKtiEU","W4tP9CfskL","hrf7POJlIJ","nREPSIbpBE","4X9JU4Jbn6"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","i8ToyICDmI","xUOZtlo3hN","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","BjRHVeLaeN","12rbrZMWeM","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6180","layer":4},{"info":"compute unary expreesion, input=6180, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-6354","layer":3},{"info":"number node, value=1512","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=2522, 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=-18965572","layer":3},{"info":"compute binary expreesion, left_input=-6354, right_input=-18965572, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=18971805","layer":2},{"info":"number node, value=1337","layer":4},{"info":"number node, value=6464","layer":4},{"info":"compute binary expreesion, left_input=1337, right_input=6464, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-22248","layer":3},{"info":"number node, value=7177","layer":4},{"info":"compute unary expreesion, input=7177, 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=-22248, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-42848","layer":2},{"info":"compute binary expreesion, left_input=18971805, right_input=-42848, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-94641937","layer":1},{"info":"compute unary expreesion, input=-94641937, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":0}],"base":4,"result_base":4,"text":"⨵≀≌((⊲⪭⪩⨒∯1200210)≠≀⪩⨒∯113220⊋⪩⨒∯213122)⇤(⪩⨒∯110321⨚⪩⨒∯1211000)∴(⪩⨒∯1300021⪓⨏)=Inf","reverse_text":"Inf=⨵≀≌((⊲⪭⪩⨒∯1200210)≠≀⪩⨒∯113220⊋⪩⨒∯213122)⇤(⪩⨒∯110321⨚⪩⨒∯1211000)∴(⪩⨒∯1300021⪓⨏)","cot":[{"info":"⊲⪭⪩⨒∯1200210=⪩⨒∯-1203102","layer":3},{"info":"⪩⨒∯113220⊋⪩⨒∯213122=⪩⨒∯-1020112101010","layer":3},{"info":"⪩⨒∯-1203102≠≀⪩⨒∯-1020112101010=⪩⨒∯1020113302131","layer":2},{"info":"⪩⨒∯110321⨚⪩⨒∯1211000=⪩⨒∯-11123220","layer":3},{"info":"⪩⨒∯1300021⪓⨏=NaN","layer":3},{"info":"⪩⨒∯-11123220∴NaN=⪩⨒∯-22131200","layer":2},{"info":"⪩⨒∯1020113302131⇤⪩⨒∯-22131200=⪩⨒∯-11221001330101","layer":1},{"info":"⨵≀≌⪩⨒∯-11221001330101=Inf","layer":0}]}
{"id":490,"expression_no_base_symbol":"(($6380$⫍⨯↯)⫩)↹⊜(($4621$⇡)≨($4186$⨓$8344$))↺(↡(⇉-⫰($4160$∷$3333$)))","expression":"((⪩⨒∯1203230⫍⨯↯)⫩)↹⊜((⪩⨒∯1020031⇡)≨(⪩⨒∯1001122⨓⪩⨒∯2002120))↺(↡(⇉-⫰(⪩⨒∯1001000∷⪩⨒∯310011)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33052,"operation_count":10,"complexity_ratio":3305.2,"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":6380,"base":4}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":4621,"base":4}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4186,"base":4},"right_expr":{"type":"numeric_atoms","value":8344,"base":4}}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4160,"base":4},"right_expr":{"type":"numeric_atoms","value":3333,"base":4}}}}},"used_operators":["7j4O788W3g","9bazX3JMtO","6aG7x05OhS","ZcwmYACASQ","0KMCeP1Jsh","UqFzSgLMvQ","3ViojmjbAp","MXaNJeIAZ3","IGFM8TAlm9","D3AQDKkPcf"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","dWAJyo7jo9","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","eH2TOUuTDT","eewbuw0ToL","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"⪩⨒∯2310","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6380","layer":4},{"info":"compute unary expreesion, input=6380, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=6347","layer":3},{"info":"compute unary expreesion, input=6347, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=4621","layer":4},{"info":"compute unary expreesion, input=4621, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=4186","layer":4},{"info":"number node, value=8344","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=8344, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8347","layer":3},{"info":"compute binary expreesion, left_input=-2917, right_input=-8347, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=6490","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6490, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=4160","layer":4},{"info":"number node, value=3333","layer":4},{"info":"compute binary expreesion, left_input=4160, right_input=3333, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3333","layer":3},{"info":"compute unary expreesion, input=3333, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=180","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=180, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=180","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1203230⫍⨯↯)⫩)↹⊜((⪩⨒∯1020031⇡)≨(⪩⨒∯1001122⨓⪩⨒∯2002120))↺(↡(⇉-⫰(⪩⨒∯1001000∷⪩⨒∯310011)))=⪩⨒∯2310","reverse_text":"⪩⨒∯2310=((⪩⨒∯1203230⫍⨯↯)⫩)↹⊜((⪩⨒∯1020031⇡)≨(⪩⨒∯1001122⨓⪩⨒∯2002120))↺(↡(⇉-⫰(⪩⨒∯1001000∷⪩⨒∯310011)))","cot":[{"info":"⪩⨒∯1203230⫍⨯↯=⪩⨒∯1203023","layer":3},{"info":"⪩⨒∯1203023⫩=NaN","layer":2},{"info":"⪩⨒∯1020031⇡=⪩⨒∯-231211","layer":3},{"info":"⪩⨒∯1001122⨓⪩⨒∯2002120=⪩⨒∯-2002123","layer":3},{"info":"⪩⨒∯-231211≨⪩⨒∯-2002123=⪩⨒∯1211122","layer":2},{"info":"NaN↹⊜⪩⨒∯1211122=NaN","layer":1},{"info":"⪩⨒∯1001000∷⪩⨒∯310011=⪩⨒∯310011","layer":3},{"info":"⇉-⫰⪩⨒∯310011=⪩⨒∯110","layer":2},{"info":"↡⪩⨒∯110=⪩⨒∯2310","layer":1},{"info":"NaN↺⪩⨒∯2310=⪩⨒∯2310","layer":0}]}
{"id":491,"expression_no_base_symbol":"⇘((⫛⫱⨽$4818$)∴($1542$∽$1399$)⨚(($6118$⨔≚≋$2172$)≳⇉($2515$∀⋜↑)))","expression":"⇘((⫛⫱⨽⪩⨒∯1023102)∴(⪩⨒∯120012∽⪩⨒∯111313)⨚((⪩⨒∯1133212⨔≚≋⪩⨒∯201330)≳⇉(⪩⨒∯213103∀⋜↑)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2522397,"operation_count":8,"complexity_ratio":315299.625,"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":4818,"base":4}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1542,"base":4},"right_expr":{"type":"numeric_atoms","value":1399,"base":4}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":6118,"base":4},"right_expr":{"type":"numeric_atoms","value":2172,"base":4}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":2515,"base":4}}}}},"used_operators":["MGuIdZPyUC","nREPSIbpBE","hrf7POJlIJ","DlLNRPXxWL","y4ImoPnbV5","V0kx6qeWkN","Z57zeUYC9z","KipPnG1M2J"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","BjRHVeLaeN","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rGHVDoGpnC","NTOWxs364D","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4818","layer":4},{"info":"compute unary expreesion, input=4818, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1542","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=1399, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-11729","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-11729, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1648","layer":2},{"info":"number node, value=6118","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=6118, right_input=2172, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=2515","layer":4},{"info":"compute unary expreesion, input=2515, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-484, 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=1648, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', 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":4,"result_base":4,"text":"⇘((⫛⫱⨽⪩⨒∯1023102)∴(⪩⨒∯120012∽⪩⨒∯111313)⨚((⪩⨒∯1133212⨔≚≋⪩⨒∯201330)≳⇉(⪩⨒∯213103∀⋜↑)))=NaN","reverse_text":"NaN=⇘((⫛⫱⨽⪩⨒∯1023102)∴(⪩⨒∯120012∽⪩⨒∯111313)⨚((⪩⨒∯1133212⨔≚≋⪩⨒∯201330)≳⇉(⪩⨒∯213103∀⋜↑)))","cot":[{"info":"⫛⫱⨽⪩⨒∯1023102=⪩⨒∯0","layer":3},{"info":"⪩⨒∯120012∽⪩⨒∯111313=⪩⨒∯-2313101","layer":3},{"info":"⪩⨒∯0∴⪩⨒∯-2313101=⪩⨒∯121300","layer":2},{"info":"⪩⨒∯1133212⨔≚≋⪩⨒∯201330=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯213103∀⋜↑=⪩⨒∯-13210","layer":3},{"info":"⪩⨒∯2122100≳⇉⪩⨒∯-13210=NaN","layer":2},{"info":"⪩⨒∯121300⨚NaN=NaN","layer":1},{"info":"⇘NaN=NaN","layer":0}]}
{"id":492,"expression_no_base_symbol":"↪⫪⫘((($4593$∠⫱$1137$)≥⨤⩑$2510$⊹∫⫚$1373$)⩘$8060$⩖⊿$3320$⩍⋽⫝̸$3163$⊮⊟↴$1050$)","expression":"↪⫪⫘(((⪩⨒∯1013301∠⫱⪩⨒∯101301)≥⨤⩑⪩⨒∯213032⊹∫⫚⪩⨒∯111131)⩘⪩⨒∯1331330⩖⊿⪩⨒∯303320⩍⋽⫝̸⪩⨒∯301123⊮⊟↴⪩⨒∯100122)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":250,"operation_count":8,"complexity_ratio":31.25,"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":4593,"base":4},"right_expr":{"type":"numeric_atoms","value":1137,"base":4}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2510,"base":4},"right_expr":{"type":"numeric_atoms","value":1373,"base":4}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":8060,"base":4},"right_expr":{"type":"numeric_atoms","value":3320,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3163,"base":4},"right_expr":{"type":"numeric_atoms","value":1050,"base":4}}}}},"used_operators":["9dWsAM3GFt","cHh1gJQ2o6","gJLn6v0xnP","QvoQhV0rrE","uWAJUKEvyW","BiWNJpBvwn","RZ5CV9rWsJ","QDVgd2eftb"],"dependent_operators":["DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","Ph9nP6C5qx","xUOZtlo3hN","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⪩⨒∯110","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4593","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=4593, right_input=1137, 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=2510","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=1373, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-52","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-52, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":2},{"info":"number node, value=8060","layer":4},{"info":"number node, value=3320","layer":4},{"info":"compute binary expreesion, left_input=8060, right_input=3320, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-5762","layer":3},{"info":"number node, value=3163","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=3163, right_input=1050, 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=-5762, right_input=0, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=-209","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-209, 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 = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":0}],"base":4,"result_base":4,"text":"↪⫪⫘(((⪩⨒∯1013301∠⫱⪩⨒∯101301)≥⨤⩑⪩⨒∯213032⊹∫⫚⪩⨒∯111131)⩘⪩⨒∯1331330⩖⊿⪩⨒∯303320⩍⋽⫝̸⪩⨒∯301123⊮⊟↴⪩⨒∯100122)=⪩⨒∯110","reverse_text":"⪩⨒∯110=↪⫪⫘(((⪩⨒∯1013301∠⫱⪩⨒∯101301)≥⨤⩑⪩⨒∯213032⊹∫⫚⪩⨒∯111131)⩘⪩⨒∯1331330⩖⊿⪩⨒∯303320⩍⋽⫝̸⪩⨒∯301123⊮⊟↴⪩⨒∯100122)","cot":[{"info":"⪩⨒∯1013301∠⫱⪩⨒∯101301=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯213032⊹∫⫚⪩⨒∯111131=⪩⨒∯-310","layer":3},{"info":"⪩⨒∯103102≥⨤⩑⪩⨒∯-310=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯1331330⩖⊿⪩⨒∯303320=⪩⨒∯-1122002","layer":3},{"info":"⪩⨒∯301123⊮⊟↴⪩⨒∯100122=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1122002⩍⋽⫝̸⪩⨒∯0=⪩⨒∯-3101","layer":2},{"info":"⪩⨒∯103102⩘⪩⨒∯-3101=⪩⨒∯2200","layer":1},{"info":"↪⫪⫘⪩⨒∯2200=⪩⨒∯110","layer":0}]}
{"id":493,"expression_no_base_symbol":"⇋⊎⋝((⫵↿($3457$⪨≂$4211$))⪒(⪨⨬($5356$⨭⪣$1215$)))","expression":"⇋⊎⋝((⫵↿(⪩⨒∯312001⪨≂⪩⨒∯1001303))⪒(⪨⨬(⪩⨒∯1103230⨭⪣⪩⨒∯102333)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":477,"operation_count":6,"complexity_ratio":79.5,"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":3457,"base":4},"right_expr":{"type":"numeric_atoms","value":4211,"base":4}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":5356,"base":4},"right_expr":{"type":"numeric_atoms","value":1215,"base":4}}}}},"used_operators":["CzM2PEoXns","f6k1SAg4EE","ivGwdmUAux","sdazOOVcIp","5obUd6DV38","kn8WO9XteQ"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","rysDP5nf3Z","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3457","layer":4},{"info":"number node, value=4211","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=4211, 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=-1406","layer":3},{"info":"compute unary expreesion, input=-1406, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=5356","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=5356, right_input=1215, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=4077","layer":3},{"info":"compute unary expreesion, input=4077, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=-526, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=389","layer":1},{"info":"compute unary expreesion, input=389, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇋⊎⋝((⫵↿(⪩⨒∯312001⪨≂⪩⨒∯1001303))⪒(⪨⨬(⪩⨒∯1103230⨭⪣⪩⨒∯102333)))=NaN","reverse_text":"NaN=⇋⊎⋝((⫵↿(⪩⨒∯312001⪨≂⪩⨒∯1001303))⪒(⪨⨬(⪩⨒∯1103230⨭⪣⪩⨒∯102333)))","cot":[{"info":"⪩⨒∯312001⪨≂⪩⨒∯1001303=⪩⨒∯-111332","layer":3},{"info":"⫵↿⪩⨒∯-111332=⪩⨒∯2021","layer":2},{"info":"⪩⨒∯1103230⨭⪣⪩⨒∯102333=⪩⨒∯333231","layer":3},{"info":"⪨⨬⪩⨒∯333231=⪩⨒∯-20032","layer":2},{"info":"⪩⨒∯2021⪒⪩⨒∯-20032=⪩⨒∯12011","layer":1},{"info":"⇋⊎⋝⪩⨒∯12011=NaN","layer":0}]}
{"id":494,"expression_no_base_symbol":"((⇖⫷⫕$4537$)⩤)⪃⊛⇣((∷≠$1566$)⪔(⇠$4051$))≎⊠⪸(↩($1863$∑⇟⊟$4434$)⊔$3821$∘$1783$)","expression":"((⇖⫷⫕⪩⨒∯1012321)⩤)⪃⊛⇣((∷≠⪩⨒∯120132)⪔(⇠⪩⨒∯333103))≎⊠⪸(↩(⪩⨒∯131013∑⇟⊟⪩⨒∯1011102)⊔⪩⨒∯323231∘⪩⨒∯123313)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5333,"operation_count":11,"complexity_ratio":484.8181818181818,"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":4537,"base":4}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1566,"base":4}},"right_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":4051,"base":4}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1863,"base":4},"right_expr":{"type":"numeric_atoms","value":4434,"base":4}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3821,"base":4},"right_expr":{"type":"numeric_atoms","value":1783,"base":4}}}}},"used_operators":["bJkvcejdHO","rrgAzCduG9","Z2TMIBDE3Q","UHmRx3INFg","GjBEYRfMaF","QiR2Oyf5Xj","18saOjeKKm","jLgFTUHLKL","E4l6HwMY31","U7g4x0WXJJ","Z5m6OM72h2"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","7j4O788W3g","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eH2TOUuTDT","rysDP5nf3Z"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4537","layer":4},{"info":"compute unary expreesion, input=4537, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"compute unary expreesion, input=2822, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2822","layer":2},{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1566","layer":3},{"info":"number node, value=4051","layer":4},{"info":"compute unary expreesion, input=4051, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-3809","layer":3},{"info":"compute binary expreesion, left_input=1566, right_input=-3809, 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=-2822, right_input=450, 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=1863","layer":4},{"info":"number node, value=4434","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=4434, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3821","layer":4},{"info":"number node, value=1783","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=1783, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7642","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7642, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":4,"result_base":4,"text":"((⇖⫷⫕⪩⨒∯1012321)⩤)⪃⊛⇣((∷≠⪩⨒∯120132)⪔(⇠⪩⨒∯333103))≎⊠⪸(↩(⪩⨒∯131013∑⇟⊟⪩⨒∯1011102)⊔⪩⨒∯323231∘⪩⨒∯123313)=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⇖⫷⫕⪩⨒∯1012321)⩤)⪃⊛⇣((∷≠⪩⨒∯120132)⪔(⇠⪩⨒∯333103))≎⊠⪸(↩(⪩⨒∯131013∑⇟⊟⪩⨒∯1011102)⊔⪩⨒∯323231∘⪩⨒∯123313)","cot":[{"info":"⇖⫷⫕⪩⨒∯1012321=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯230012⩤=⪩⨒∯-230012","layer":2},{"info":"∷≠⪩⨒∯120132=⪩⨒∯120132","layer":3},{"info":"⇠⪩⨒∯333103=⪩⨒∯-323201","layer":3},{"info":"⪩⨒∯120132⪔⪩⨒∯-323201=⪩⨒∯13002","layer":2},{"info":"⪩⨒∯-230012⪃⊛⇣⪩⨒∯13002=⪩⨒∯103102","layer":1},{"info":"⪩⨒∯131013∑⇟⊟⪩⨒∯1011102=NaN","layer":3},{"info":"⪩⨒∯323231∘⪩⨒∯123313=⪩⨒∯1313122","layer":3},{"info":"NaN⊔⪩⨒∯1313122=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"⪩⨒∯103102≎⊠⪸NaN=⪩⨒∯1003","layer":0}]}
{"id":495,"expression_no_base_symbol":"((→⩰$2223$⪝$4926$)⨵⪆(⇙⪊$1666$)⇻⋧≁($1299$↬$1018$))⫔⩽⩺(→⩰(⊿$3447$)⊱⇼⊻($1080$↼⊘⨖$4138$))","expression":"((→⩰⪩⨒∯202233⪝⪩⨒∯1030332)⨵⪆(⇙⪊⪩⨒∯122002)⇻⋧≁(⪩⨒∯110103↬⪩⨒∯33322))⫔⩽⩺(→⩰(⊿⪩⨒∯311313)⊱⇼⊻(⪩⨒∯100320↼⊘⨖⪩⨒∯1000222))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":59828,"operation_count":11,"complexity_ratio":5438.909090909091,"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":2223,"base":4},"right_expr":{"type":"numeric_atoms","value":4926,"base":4}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"numeric_atoms","value":1666,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1299,"base":4},"right_expr":{"type":"numeric_atoms","value":1018,"base":4}}}},"right_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":3447,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1080,"base":4},"right_expr":{"type":"numeric_atoms","value":4138,"base":4}}}}},"used_operators":["i9eR4S00cU","2DQ55sFlQl","o8Pngz0Tml","wicAB68Tmb","jCPkEVoL5K","pB6Fcnrjim","B5M0gjZbta","FyVja0WsTP","DO4fhlbJSI","bPywburJMS"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2223","layer":4},{"info":"number node, value=4926","layer":4},{"info":"compute binary expreesion, left_input=2223, right_input=4926, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1299","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1299, right_input=1018, 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 = 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=nan, right_input=-447, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3447","layer":4},{"info":"compute unary expreesion, input=3447, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-14526","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=4138","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=4138, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=8054","layer":3},{"info":"compute binary expreesion, left_input=-14526, right_input=8054, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=58308","layer":2},{"info":"compute unary expreesion, input=58308, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((→⩰⪩⨒∯202233⪝⪩⨒∯1030332)⨵⪆(⇙⪊⪩⨒∯122002)⇻⋧≁(⪩⨒∯110103↬⪩⨒∯33322))⫔⩽⩺(→⩰(⊿⪩⨒∯311313)⊱⇼⊻(⪩⨒∯100320↼⊘⨖⪩⨒∯1000222))=NaN","reverse_text":"NaN=((→⩰⪩⨒∯202233⪝⪩⨒∯1030332)⨵⪆(⇙⪊⪩⨒∯122002)⇻⋧≁(⪩⨒∯110103↬⪩⨒∯33322))⫔⩽⩺(→⩰(⊿⪩⨒∯311313)⊱⇼⊻(⪩⨒∯100320↼⊘⨖⪩⨒∯1000222))","cot":[{"info":"⪩⨒∯202233⪝⪩⨒∯1030332=⪩⨒∯3231","layer":3},{"info":"→⩰⪩⨒∯3231=NaN","layer":2},{"info":"⇙⪊⪩⨒∯122002=⪩⨒∯0","layer":3},{"info":"⪩⨒∯110103↬⪩⨒∯33322=NaN","layer":3},{"info":"⪩⨒∯0⇻⋧≁NaN=⪩⨒∯-12333","layer":2},{"info":"NaN⨵⪆⪩⨒∯-12333=⪩⨒∯2200","layer":1},{"info":"⊿⪩⨒∯311313=⪩⨒∯-3202332","layer":3},{"info":"⪩⨒∯100320↼⊘⨖⪩⨒∯1000222=⪩⨒∯1331312","layer":3},{"info":"⪩⨒∯-3202332⊱⇼⊻⪩⨒∯1331312=⪩⨒∯32033010","layer":2},{"info":"→⩰⪩⨒∯32033010=NaN","layer":1},{"info":"⪩⨒∯2200⫔⩽⩺NaN=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"(($3391$⫽⇹≛)⪚($1252$⊋≦⊧$4319$)⩷∴(($1680$⨑≵⋬$1033$)⪡($2889$⇡)))⨂≜(↓⇌(($1492$⫦⪉$1224$)∌($1402$↡⊰⫅$7933$)))","expression":"((⪩⨒∯310333⫽⇹≛)⪚(⪩⨒∯103210⊋≦⊧⪩⨒∯1003133)⩷∴((⪩⨒∯122100⨑≵⋬⪩⨒∯100021)⪡(⪩⨒∯231021⇡)))⨂≜(↓⇌((⪩⨒∯113110⫦⪉⪩⨒∯103020)∌(⪩⨒∯111322↡⊰⫅⪩⨒∯1323331)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":138604,"operation_count":12,"complexity_ratio":11550.333333333334,"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":3391,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1252,"base":4},"right_expr":{"type":"numeric_atoms","value":4319,"base":4}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1680,"base":4},"right_expr":{"type":"numeric_atoms","value":1033,"base":4}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":2889,"base":4}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1492,"base":4},"right_expr":{"type":"numeric_atoms","value":1224,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1402,"base":4},"right_expr":{"type":"numeric_atoms","value":7933,"base":4}}}}},"used_operators":["k1SHOSEABc","9FxExcQeMw","HrjLwUk87U","NNaDxxp6OQ","oRDoc9rAEX","oraRL2iQuh","XnXgA4xnOs","UqFzSgLMvQ","PxpmPgHHJV","8cLx32lpNA","wscyQdcy20","VCtxkLNOzz"],"dependent_operators":["9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3391","layer":4},{"info":"compute unary expreesion, input=3391, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"number node, value=1252","layer":4},{"info":"number node, value=4319","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=4319, 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=-5331","layer":3},{"info":"compute binary expreesion, left_input=272, right_input=-5331, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=10850","layer":2},{"info":"number node, value=1680","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=1033, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=2548","layer":3},{"info":"number node, value=2889","layer":4},{"info":"compute unary expreesion, input=2889, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute binary expreesion, left_input=2548, right_input=-2917, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-2812","layer":2},{"info":"compute binary expreesion, left_input=10850, right_input=-2812, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=27292","layer":1},{"info":"number node, value=1492","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=1492, right_input=1224, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1916","layer":3},{"info":"number node, value=1402","layer":4},{"info":"number node, value=7933","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=7933, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=15866","layer":3},{"info":"compute binary expreesion, left_input=1916, right_input=15866, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-15866","layer":2},{"info":"compute unary expreesion, input=-15866, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=-31732","layer":1},{"info":"compute binary expreesion, left_input=27292, right_input=-31732, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯310333⫽⇹≛)⪚(⪩⨒∯103210⊋≦⊧⪩⨒∯1003133)⩷∴((⪩⨒∯122100⨑≵⋬⪩⨒∯100021)⪡(⪩⨒∯231021⇡)))⨂≜(↓⇌((⪩⨒∯113110⫦⪉⪩⨒∯103020)∌(⪩⨒∯111322↡⊰⫅⪩⨒∯1323331)))=NaN","reverse_text":"NaN=((⪩⨒∯310333⫽⇹≛)⪚(⪩⨒∯103210⊋≦⊧⪩⨒∯1003133)⩷∴((⪩⨒∯122100⨑≵⋬⪩⨒∯100021)⪡(⪩⨒∯231021⇡)))⨂≜(↓⇌((⪩⨒∯113110⫦⪉⪩⨒∯103020)∌(⪩⨒∯111322↡⊰⫅⪩⨒∯1323331)))","cot":[{"info":"⪩⨒∯310333⫽⇹≛=⪩⨒∯10100","layer":3},{"info":"⪩⨒∯103210⊋≦⊧⪩⨒∯1003133=⪩⨒∯-1103103","layer":3},{"info":"⪩⨒∯10100⪚⪩⨒∯-1103103=⪩⨒∯2221202","layer":2},{"info":"⪩⨒∯122100⨑≵⋬⪩⨒∯100021=⪩⨒∯213310","layer":3},{"info":"⪩⨒∯231021⇡=⪩⨒∯-231211","layer":3},{"info":"⪩⨒∯213310⪡⪩⨒∯-231211=⪩⨒∯-223330","layer":2},{"info":"⪩⨒∯2221202⩷∴⪩⨒∯-223330=⪩⨒∯12222130","layer":1},{"info":"⪩⨒∯113110⫦⪉⪩⨒∯103020=⪩⨒∯131330","layer":3},{"info":"⪩⨒∯111322↡⊰⫅⪩⨒∯1323331=⪩⨒∯3313322","layer":3},{"info":"⪩⨒∯131330∌⪩⨒∯3313322=⪩⨒∯-3313322","layer":2},{"info":"↓⇌⪩⨒∯-3313322=⪩⨒∯-13233310","layer":1},{"info":"⪩⨒∯12222130⨂≜⪩⨒∯-13233310=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"(($1977$⪕$1569$)⨚⇆($4607$⨭⪣$2837$))∌↝(≱⇩⩕$1025$⫁⪎$2039$)⊲⩕⊾(⊁⨺((∥⊫$1392$)⩷∴($5766$⩺⪪$2241$)))","expression":"((⪩⨒∯132321⪕⪩⨒∯120201)⨚⇆(⪩⨒∯1013333⨭⪣⪩⨒∯230111))∌↝(≱⇩⩕⪩⨒∯100001⫁⪎⪩⨒∯133313)⊲⩕⊾(⊁⨺((∥⊫⪩⨒∯111300)⩷∴(⪩⨒∯1122012⩺⪪⪩⨒∯203001)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23304,"operation_count":11,"complexity_ratio":2118.5454545454545,"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":1977,"base":4},"right_expr":{"type":"numeric_atoms","value":1569,"base":4}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":4607,"base":4},"right_expr":{"type":"numeric_atoms","value":2837,"base":4}}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1025,"base":4},"right_expr":{"type":"numeric_atoms","value":2039,"base":4}}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1392,"base":4}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5766,"base":4},"right_expr":{"type":"numeric_atoms","value":2241,"base":4}}}}},"used_operators":["DmTXOeWf9t","9Isq31Ruls","lwHaAYXP2r","umQnsF7QlU","kn8WO9XteQ","3DZMoQKiUl","xRrnTEsQ6j","PxiHyQbrIp","9FxExcQeMw","P8v4zCKN1o","uvdQJvN4PV"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1977","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=1977, right_input=1569, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=3286","layer":3},{"info":"number node, value=4607","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=4607, right_input=2837, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3328","layer":3},{"info":"compute binary expreesion, left_input=3286, right_input=3328, 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=1025","layer":4},{"info":"number node, value=2039","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=2039, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1014","layer":3},{"info":"compute unary expreesion, input=-1014, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=7708","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7708, 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=1392","layer":4},{"info":"compute unary expreesion, input=1392, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2260","layer":3},{"info":"number node, value=5766","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=5766, right_input=2241, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-57298","layer":3},{"info":"compute binary expreesion, left_input=2260, right_input=-57298, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=119084","layer":2},{"info":"compute unary expreesion, input=119084, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯132321⪕⪩⨒∯120201)⨚⇆(⪩⨒∯1013333⨭⪣⪩⨒∯230111))∌↝(≱⇩⩕⪩⨒∯100001⫁⪎⪩⨒∯133313)⊲⩕⊾(⊁⨺((∥⊫⪩⨒∯111300)⩷∴(⪩⨒∯1122012⩺⪪⪩⨒∯203001)))=NaN","reverse_text":"NaN=((⪩⨒∯132321⪕⪩⨒∯120201)⨚⇆(⪩⨒∯1013333⨭⪣⪩⨒∯230111))∌↝(≱⇩⩕⪩⨒∯100001⫁⪎⪩⨒∯133313)⊲⩕⊾(⊁⨺((∥⊫⪩⨒∯111300)⩷∴(⪩⨒∯1122012⩺⪪⪩⨒∯203001)))","cot":[{"info":"⪩⨒∯132321⪕⪩⨒∯120201=⪩⨒∯303112","layer":3},{"info":"⪩⨒∯1013333⨭⪣⪩⨒∯230111=⪩⨒∯310000","layer":3},{"info":"⪩⨒∯303112⨚⇆⪩⨒∯310000=NaN","layer":2},{"info":"⪩⨒∯100001⫁⪎⪩⨒∯133313=⪩⨒∯-33312","layer":3},{"info":"≱⇩⩕⪩⨒∯-33312=⪩⨒∯1320130","layer":2},{"info":"NaN∌↝⪩⨒∯1320130=NaN","layer":1},{"info":"∥⊫⪩⨒∯111300=⪩⨒∯203110","layer":3},{"info":"⪩⨒∯1122012⩺⪪⪩⨒∯203001=⪩⨒∯-31333102","layer":3},{"info":"⪩⨒∯203110⩷∴⪩⨒∯-31333102=⪩⨒∯131010230","layer":2},{"info":"⊁⨺⪩⨒∯131010230=⪩⨒∯2200","layer":1},{"info":"NaN⊲⩕⊾⪩⨒∯2200=NaN","layer":0}]}
{"id":498,"expression_no_base_symbol":"⊙↵-($8527$∌$2914$⊋≦⊧(↩$1522$))∛($4583$⇴$2270$)⪒⊣⊆($1497$⪛$1946$)","expression":"⊙↵-(⪩⨒∯2011033∌⪩⨒∯231202⊋≦⊧(↩⪩⨒∯113302))∛(⪩⨒∯1013213⇴⪩⨒∯203132)⪒⊣⊆(⪩⨒∯113121⪛⪩⨒∯132122)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":855,"operation_count":8,"complexity_ratio":106.875,"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":8527,"base":4},"right_expr":{"type":"numeric_atoms","value":2914,"base":4}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1522,"base":4}}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":4583,"base":4},"right_expr":{"type":"numeric_atoms","value":2270,"base":4}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1497,"base":4},"right_expr":{"type":"numeric_atoms","value":1946,"base":4}}}}},"used_operators":["oWn0xqSxBt","w2537kitQq","oRDoc9rAEX","8cLx32lpNA","jLgFTUHLKL","eRqsBgTDFp","4JB6nKBMSY","uFcxV4UQCh"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","W4YGzv6Whe","sdazOOVcIp","NTOWxs364D","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪩⨒∯3010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8527","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=8527, right_input=2914, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2914","layer":3},{"info":"number node, value=1522","layer":4},{"info":"compute unary expreesion, input=1522, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9396","layer":3},{"info":"compute binary expreesion, left_input=-2914, right_input=-9396, 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=4583","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=2270, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=31652","layer":3},{"info":"number node, value=1497","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=1946, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1497","layer":3},{"info":"compute binary expreesion, left_input=31652, right_input=1497, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=63304","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=63304, 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 unary expreesion, input=-676, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":0}],"base":4,"result_base":4,"text":"⊙↵-(⪩⨒∯2011033∌⪩⨒∯231202⊋≦⊧(↩⪩⨒∯113302))∛(⪩⨒∯1013213⇴⪩⨒∯203132)⪒⊣⊆(⪩⨒∯113121⪛⪩⨒∯132122)=⪩⨒∯3010","reverse_text":"⪩⨒∯3010=⊙↵-(⪩⨒∯2011033∌⪩⨒∯231202⊋≦⊧(↩⪩⨒∯113302))∛(⪩⨒∯1013213⇴⪩⨒∯203132)⪒⊣⊆(⪩⨒∯113121⪛⪩⨒∯132122)","cot":[{"info":"⪩⨒∯2011033∌⪩⨒∯231202=⪩⨒∯-231202","layer":3},{"info":"↩⪩⨒∯113302=⪩⨒∯-2102310","layer":3},{"info":"⪩⨒∯-231202⊋≦⊧⪩⨒∯-2102310=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯1013213⇴⪩⨒∯203132=⪩⨒∯13232210","layer":3},{"info":"⪩⨒∯113121⪛⪩⨒∯132122=⪩⨒∯113121","layer":3},{"info":"⪩⨒∯13232210⪒⊣⊆⪩⨒∯113121=⪩⨒∯33131020","layer":2},{"info":"⪩⨒∯3000∛⪩⨒∯33131020=⪩⨒∯-22210","layer":1},{"info":"⊙↵-⪩⨒∯-22210=⪩⨒∯3010","layer":0}]}
{"id":499,"expression_no_base_symbol":"($1100$∥⊢⊲$5345$+⪬∐($3110$≳⇉$1117$))≴⪞⇿(⩷⨜⫀(⨵$3959$))∙⊟(⋗⩴⪓$3341$)⪇≇⋚$8729$≠≀$2025$≭($1652$⫗⊷⫓$4134$⨶)","expression":"(⪩⨒∯101030∥⊢⊲⪩⨒∯1103201+⪬∐(⪩⨒∯300212≳⇉⪩⨒∯101131))≴⪞⇿(⩷⨜⫀(⨵⪩⨒∯331313))∙⊟(⋗⩴⪓⪩⨒∯310031)⪇≇⋚⪩⨒∯2020121≠≀⪩⨒∯133221≭(⪩⨒∯121310⫗⊷⫓⪩⨒∯1000212⨶)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":18142749,"operation_count":13,"complexity_ratio":1395596.076923077,"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":1100,"base":4},"right_expr":{"type":"numeric_atoms","value":5345,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3110,"base":4},"right_expr":{"type":"numeric_atoms","value":1117,"base":4}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":3959,"base":4}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":3341,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":8729,"base":4},"right_expr":{"type":"numeric_atoms","value":2025,"base":4}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1652,"base":4},"right_expr":{"type":"numeric_atoms","value":4134,"base":4}}}}},"used_operators":["SxTAKzQCrw","lvlrscuwVU","2GS7woTJqF","v1UQAVDJRr","V0kx6qeWkN","CDi0ktkjQ4","Tl3Y52tvF8","rxpJgHHUmx","3sJ7IOPOlU","nOKPl9n5zu","IwW236VD4Y","rFxw8gIMmB","zashukvMKz"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","g55IO6H4Gj","D4vGDi5EA2","EBcxylXtPf","rGHVDoGpnC","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","ruOEQAzv1W","nhYeJWJD5X","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","AHs5Up7iyr","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","f6k1SAg4EE","Qy55tPpLXF","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"number node, value=5345","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=5345, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=3110","layer":4},{"info":"number node, value=1117","layer":4},{"info":"compute binary expreesion, left_input=3110, right_input=1117, 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=nan, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"number node, value=3959","layer":4},{"info":"compute unary expreesion, input=3959, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-32881","layer":3},{"info":"compute unary expreesion, input=-32881, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-766, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":1},{"info":"number node, value=3341","layer":4},{"info":"compute unary expreesion, input=3341, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-2428","layer":3},{"info":"number node, value=8729","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=8729, right_input=2025, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-17152","layer":3},{"info":"compute binary expreesion, left_input=-2428, right_input=-17152, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"number node, value=1652","layer":4},{"info":"number node, value=4134","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=4134, 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 = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-2014","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2014, 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=nan, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯101030∥⊢⊲⪩⨒∯1103201+⪬∐(⪩⨒∯300212≳⇉⪩⨒∯101131))≴⪞⇿(⩷⨜⫀(⨵⪩⨒∯331313))∙⊟(⋗⩴⪓⪩⨒∯310031)⪇≇⋚⪩⨒∯2020121≠≀⪩⨒∯133221≭(⪩⨒∯121310⫗⊷⫓⪩⨒∯1000212⨶)=NaN","reverse_text":"NaN=(⪩⨒∯101030∥⊢⊲⪩⨒∯1103201+⪬∐(⪩⨒∯300212≳⇉⪩⨒∯101131))≴⪞⇿(⩷⨜⫀(⨵⪩⨒∯331313))∙⊟(⋗⩴⪓⪩⨒∯310031)⪇≇⋚⪩⨒∯2020121≠≀⪩⨒∯133221≭(⪩⨒∯121310⫗⊷⫓⪩⨒∯1000212⨶)","cot":[{"info":"⪩⨒∯101030∥⊢⊲⪩⨒∯1103201=NaN","layer":3},{"info":"⪩⨒∯300212≳⇉⪩⨒∯101131=NaN","layer":3},{"info":"NaN+⪬∐NaN=NaN","layer":2},{"info":"⨵⪩⨒∯331313=⪩⨒∯-20001301","layer":3},{"info":"⩷⨜⫀⪩⨒∯-20001301=⪩⨒∯-23332","layer":2},{"info":"NaN≴⪞⇿⪩⨒∯-23332=NaN","layer":1},{"info":"⋗⩴⪓⪩⨒∯310031=⪩⨒∯-211330","layer":3},{"info":"⪩⨒∯2020121≠≀⪩⨒∯133221=⪩⨒∯-10030000","layer":3},{"info":"⪩⨒∯-211330⪇≇⋚⪩⨒∯-10030000=⪩⨒∯0","layer":2},{"info":"⪩⨒∯121310⫗⊷⫓⪩⨒∯1000212=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯-2012⨶=⪩⨒∯-133132","layer":2},{"info":"⪩⨒∯0≭⪩⨒∯-133132=NaN","layer":1},{"info":"NaN∙⊟NaN=NaN","layer":0}]}
{"id":500,"expression_no_base_symbol":"(⨣⨃⇪$1592$⇻⋧≁$1196$)⪭$3332$≎⪠$5084$∛($2288$⇌⫙⪟$1227$)⩇∃⫛(($4180$⪔⊥$6008$⋷$5460$⋻⩜⩜$2969$)⪕($1828$≌$1527$)⪃⊛⇣($1232$⫞⩸⩒$5571$))","expression":"(⨣⨃⇪⪩⨒∯120320⇻⋧≁⪩⨒∯102230)⪭⪩⨒∯310010≎⪠⪩⨒∯1033130∛(⪩⨒∯203300⇌⫙⪟⪩⨒∯103023)⩇∃⫛((⪩⨒∯1001110⪔⊥⪩⨒∯1131320⋷⪩⨒∯1111110⋻⩜⩜⪩⨒∯232121)⪕(⪩⨒∯130210≌⪩⨒∯113313)⪃⊛⇣(⪩⨒∯103100⫞⩸⩒⪩⨒∯1113003))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":64669,"operation_count":14,"complexity_ratio":4619.214285714285,"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":1592,"base":4},"right_expr":{"type":"numeric_atoms","value":1196,"base":4}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3332,"base":4},"right_expr":{"type":"numeric_atoms","value":5084,"base":4}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2288,"base":4},"right_expr":{"type":"numeric_atoms","value":1227,"base":4}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4180,"base":4},"right_expr":{"type":"numeric_atoms","value":6008,"base":4}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5460,"base":4},"right_expr":{"type":"numeric_atoms","value":2969,"base":4}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1828,"base":4},"right_expr":{"type":"numeric_atoms","value":1527,"base":4}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1232,"base":4},"right_expr":{"type":"numeric_atoms","value":5571,"base":4}}}}},"used_operators":["1aApVXNlOP","j9kHMeSvPp","AcOhelriW5","jCPkEVoL5K","w2537kitQq","aNhz54LH3e","AFVx7xoS7T","umQnsF7QlU","23Mk6UjR3U","HJ9erzHUuu","oDCm7WA9JY","rrgAzCduG9","lyWz822IDG","XGcMNugi78"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","COABgblf1C","xUOZtlo3hN","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"⪩⨒∯20133311","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1592","layer":4},{"info":"number node, value=1196","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=1196, 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 = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"number node, value=3332","layer":4},{"info":"number node, value=5084","layer":4},{"info":"compute binary expreesion, left_input=3332, right_input=5084, 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=2288","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=1227, 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=19558, right_input=113, 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=1405, right_input=67, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":1},{"info":"number node, value=4180","layer":4},{"info":"number node, value=6008","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=6008, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=4505","layer":3},{"info":"number node, value=5460","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=5460, right_input=2969, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10920","layer":3},{"info":"compute binary expreesion, left_input=4505, right_input=10920, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=17335","layer":2},{"info":"number node, value=1828","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=1828, right_input=1527, 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=1232","layer":4},{"info":"number node, value=5571","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=5571, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5571","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5571, 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=17335, right_input=1234, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=34337","layer":1},{"info":"compute binary expreesion, left_input=5, right_input=34337, 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=34805","layer":0}],"base":4,"result_base":4,"text":"(⨣⨃⇪⪩⨒∯120320⇻⋧≁⪩⨒∯102230)⪭⪩⨒∯310010≎⪠⪩⨒∯1033130∛(⪩⨒∯203300⇌⫙⪟⪩⨒∯103023)⩇∃⫛((⪩⨒∯1001110⪔⊥⪩⨒∯1131320⋷⪩⨒∯1111110⋻⩜⩜⪩⨒∯232121)⪕(⪩⨒∯130210≌⪩⨒∯113313)⪃⊛⇣(⪩⨒∯103100⫞⩸⩒⪩⨒∯1113003))=⪩⨒∯20133311","reverse_text":"⪩⨒∯20133311=(⨣⨃⇪⪩⨒∯120320⇻⋧≁⪩⨒∯102230)⪭⪩⨒∯310010≎⪠⪩⨒∯1033130∛(⪩⨒∯203300⇌⫙⪟⪩⨒∯103023)⩇∃⫛((⪩⨒∯1001110⪔⊥⪩⨒∯1131320⋷⪩⨒∯1111110⋻⩜⩜⪩⨒∯232121)⪕(⪩⨒∯130210≌⪩⨒∯113313)⪃⊛⇣(⪩⨒∯103100⫞⩸⩒⪩⨒∯1113003))","cot":[{"info":"⪩⨒∯120320⇻⋧≁⪩⨒∯102230=⪩⨒∯-12333","layer":3},{"info":"⨣⨃⇪⪩⨒∯-12333=⪩⨒∯111331","layer":2},{"info":"⪩⨒∯310010≎⪠⪩⨒∯1033130=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯203300⇌⫙⪟⪩⨒∯103023=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯10301212∛⪩⨒∯1301=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯111331⪭⪩⨒∯1003=⪩⨒∯11","layer":1},{"info":"⪩⨒∯1001110⪔⊥⪩⨒∯1131320=⪩⨒∯1012121","layer":3},{"info":"⪩⨒∯1111110⋻⩜⩜⪩⨒∯232121=⪩⨒∯2222220","layer":3},{"info":"⪩⨒∯1012121⋷⪩⨒∯2222220=⪩⨒∯10032313","layer":2},{"info":"⪩⨒∯130210≌⪩⨒∯113313=NaN","layer":3},{"info":"⪩⨒∯103100⫞⩸⩒⪩⨒∯1113003=⪩⨒∯1113003","layer":3},{"info":"NaN⪃⊛⇣⪩⨒∯1113003=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯10032313⪕⪩⨒∯103102=⪩⨒∯20120201","layer":1},{"info":"⪩⨒∯11⩇∃⫛⪩⨒∯20120201=⪩⨒∯20133311","layer":0}]}
{"id":501,"expression_no_base_symbol":"⫟(↩($5631$*$1482$∕⩚$1048$⫥∨⫟$1207$))","expression":"⫟(↩(⪩⨒∯1113333*⪩⨒∯113022∕⩚⪩⨒∯100120⫥∨⫟⪩⨒∯102313))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1710,"operation_count":5,"complexity_ratio":342.0,"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":5631,"base":4},"right_expr":{"type":"numeric_atoms","value":1482,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1048,"base":4},"right_expr":{"type":"numeric_atoms","value":1207,"base":4}}}}},"used_operators":["z4E1FaHLuy","jLgFTUHLKL","z9ffQ9n5Zr","9HNa5Wba9A","KYD54nUTWz"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"⪩⨒∯-3013331","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5631","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=5631, right_input=1482, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8345142","layer":3},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1207, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8345142, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4568","layer":1},{"info":"compute unary expreesion, input=4568, 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=-12797","layer":0}],"base":4,"result_base":4,"text":"⫟(↩(⪩⨒∯1113333*⪩⨒∯113022∕⩚⪩⨒∯100120⫥∨⫟⪩⨒∯102313))=⪩⨒∯-3013331","reverse_text":"⪩⨒∯-3013331=⫟(↩(⪩⨒∯1113333*⪩⨒∯113022∕⩚⪩⨒∯100120⫥∨⫟⪩⨒∯102313))","cot":[{"info":"⪩⨒∯1113333*⪩⨒∯113022=⪩⨒∯133311120312","layer":3},{"info":"⪩⨒∯100120⫥∨⫟⪩⨒∯102313=NaN","layer":3},{"info":"⪩⨒∯133311120312∕⩚NaN=⪩⨒∯-13213","layer":2},{"info":"↩⪩⨒∯-13213=⪩⨒∯1013120","layer":1},{"info":"⫟⪩⨒∯1013120=⪩⨒∯-3013331","layer":0}]}
{"id":502,"expression_no_base_symbol":"((⨵≀≌$2702$)≎⊠⪸$5734$⪃⊛⇣$6694$)⇣⩺⋵(⊁⨺(↡$2395$))∈","expression":"((⨵≀≌⪩⨒∯222032)≎⊠⪸⪩⨒∯1121212⪃⊛⇣⪩⨒∯1220212)⇣⩺⋵(⊁⨺(↡⪩⨒∯211123))∈","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":949,"operation_count":7,"complexity_ratio":135.57142857142858,"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":2702,"base":4}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":5734,"base":4},"right_expr":{"type":"numeric_atoms","value":6694,"base":4}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2395,"base":4}}}}},"used_operators":["ztP7wcbY7m","F4yD0voBRQ","bJkvcejdHO","srAu1WTS94","rrgAzCduG9","PxiHyQbrIp","MXaNJeIAZ3"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx"],"result":"⪩⨒∯-112223","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2702","layer":4},{"info":"compute unary expreesion, input=2702, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8106","layer":3},{"info":"number node, value=5734","layer":4},{"info":"number node, value=6694","layer":4},{"info":"compute binary expreesion, left_input=5734, right_input=6694, 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=-8106, right_input=1234, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2099454","layer":2},{"info":"number node, value=2395","layer":4},{"info":"compute unary expreesion, input=2395, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=21555","layer":3},{"info":"compute unary expreesion, input=21555, 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":"compute binary expreesion, left_input=2099454, right_input=160, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-1451","layer":0}],"base":4,"result_base":4,"text":"((⨵≀≌⪩⨒∯222032)≎⊠⪸⪩⨒∯1121212⪃⊛⇣⪩⨒∯1220212)⇣⩺⋵(⊁⨺(↡⪩⨒∯211123))∈=⪩⨒∯-112223","reverse_text":"⪩⨒∯-112223=((⨵≀≌⪩⨒∯222032)≎⊠⪸⪩⨒∯1121212⪃⊛⇣⪩⨒∯1220212)⇣⩺⋵(⊁⨺(↡⪩⨒∯211123))∈","cot":[{"info":"⨵≀≌⪩⨒∯222032=⪩⨒∯-1332222","layer":3},{"info":"⪩⨒∯1121212⪃⊛⇣⪩⨒∯1220212=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-1332222≎⊠⪸⪩⨒∯103102=⪩⨒∯20000203332","layer":2},{"info":"↡⪩⨒∯211123=⪩⨒∯11100303","layer":3},{"info":"⊁⨺⪩⨒∯11100303=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯20000203332⇣⩺⋵⪩⨒∯2200=⪩⨒∯-10010","layer":1},{"info":"⪩⨒∯-10010∈=⪩⨒∯-112223","layer":0}]}
{"id":503,"expression_no_base_symbol":"((⇵⪽(⪡⇡≛$1180$))⊹∫⫚($8589$≳⇉$1923$)⇤($2115$⋾⨃∁$3648$))⪮%⊝(($7482$+⪬∐$3663$⪑⩈)⊲⩕⊾(⫵↿$1649$∺≝⩲$3358$))","expression":"((⇵⪽(⪡⇡≛⪩⨒∯102130))⊹∫⫚(⪩⨒∯2012031≳⇉⪩⨒∯132003)⇤(⪩⨒∯201003⋾⨃∁⪩⨒∯321000))⪮%⊝((⪩⨒∯1310322+⪬∐⪩⨒∯321033⪑⩈)⊲⩕⊾(⫵↿⪩⨒∯121301∺≝⩲⪩⨒∯310132))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33618699,"operation_count":12,"complexity_ratio":2801558.25,"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":1180,"base":4}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":8589,"base":4},"right_expr":{"type":"numeric_atoms","value":1923,"base":4}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2115,"base":4},"right_expr":{"type":"numeric_atoms","value":3648,"base":4}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":7482,"base":4},"right_expr":{"type":"numeric_atoms","value":3663,"base":4}}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1649,"base":4},"right_expr":{"type":"numeric_atoms","value":3358,"base":4}}}}},"used_operators":["IWmyXbctLI","uWAJUKEvyW","ZGCBLdVRRX","qL4PrbW1Dq","YSKBFp38Pu","V0kx6qeWkN","212REbPD9h","DmTXOeWf9t","C6VvDP6HwP","2GS7woTJqF","ivGwdmUAux","KPf6cnQVty"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","U7g4x0WXJJ","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","g55IO6H4Gj","D4vGDi5EA2","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-1180","layer":3},{"info":"compute unary expreesion, input=-1180, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":2},{"info":"number node, value=8589","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=8589, right_input=1923, 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=2115","layer":4},{"info":"number node, value=3648","layer":4},{"info":"compute binary expreesion, left_input=2115, right_input=3648, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=133035170","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=133035170, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"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":1},{"info":"number node, value=7482","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=7482, right_input=3663, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-22446","layer":3},{"info":"compute unary expreesion, input=-22446, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=22488","layer":2},{"info":"number node, value=1649","layer":4},{"info":"number node, value=3358","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=3358, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, 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=22488, right_input=137, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-357808","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-357808, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⇵⪽(⪡⇡≛⪩⨒∯102130))⊹∫⫚(⪩⨒∯2012031≳⇉⪩⨒∯132003)⇤(⪩⨒∯201003⋾⨃∁⪩⨒∯321000))⪮%⊝((⪩⨒∯1310322+⪬∐⪩⨒∯321033⪑⩈)⊲⩕⊾(⫵↿⪩⨒∯121301∺≝⩲⪩⨒∯310132))=NaN","reverse_text":"NaN=((⇵⪽(⪡⇡≛⪩⨒∯102130))⊹∫⫚(⪩⨒∯2012031≳⇉⪩⨒∯132003)⇤(⪩⨒∯201003⋾⨃∁⪩⨒∯321000))⪮%⊝((⪩⨒∯1310322+⪬∐⪩⨒∯321033⪑⩈)⊲⩕⊾(⫵↿⪩⨒∯121301∺≝⩲⪩⨒∯310132))","cot":[{"info":"⪡⇡≛⪩⨒∯102130=⪩⨒∯-102130","layer":3},{"info":"⇵⪽⪩⨒∯-102130=NaN","layer":2},{"info":"⪩⨒∯2012031≳⇉⪩⨒∯132003=NaN","layer":3},{"info":"⪩⨒∯201003⋾⨃∁⪩⨒∯321000=⪩⨒∯13323133102202","layer":3},{"info":"NaN⇤⪩⨒∯13323133102202=NaN","layer":2},{"info":"NaN⊹∫⫚NaN=NaN","layer":1},{"info":"⪩⨒∯1310322+⪬∐⪩⨒∯321033=⪩⨒∯-11132232","layer":3},{"info":"⪩⨒∯-11132232⪑⩈=⪩⨒∯11133120","layer":2},{"info":"⪩⨒∯121301∺≝⩲⪩⨒∯310132=⪩⨒∯2200","layer":3},{"info":"⫵↿⪩⨒∯2200=⪩⨒∯2021","layer":2},{"info":"⪩⨒∯11133120⊲⩕⊾⪩⨒∯2021=⪩⨒∯-1113112300","layer":1},{"info":"NaN⪮%⊝⪩⨒∯-1113112300=NaN","layer":0}]}
{"id":504,"expression_no_base_symbol":"($4570$⪭≯$1254$⊭↱$6773$⋹⋡⊁$1148$)⪟⇏(≯($5614$≄⊠$7376$))∌(((⪭⩑⪱$2406$)≓∲$3232$⨒$9516$)⋭≵($2676$⪔$4996$)⨥⫆($1890$⇤$3367$))","expression":"(⪩⨒∯1013122⪭≯⪩⨒∯103212⊭↱⪩⨒∯1221311⋹⋡⊁⪩⨒∯101330)⪟⇏(≯(⪩⨒∯1113232≄⊠⪩⨒∯1303100))∌(((⪭⩑⪱⪩⨒∯211212)≓∲⪩⨒∯302200⨒⪩⨒∯2110230)⋭≵(⪩⨒∯221310⪔⪩⨒∯1032010)⨥⫆(⪩⨒∯131202⇤⪩⨒∯310213))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":213012,"operation_count":14,"complexity_ratio":15215.142857142857,"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":4570,"base":4},"right_expr":{"type":"numeric_atoms","value":1254,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":6773,"base":4},"right_expr":{"type":"numeric_atoms","value":1148,"base":4}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":5614,"base":4},"right_expr":{"type":"numeric_atoms","value":7376,"base":4}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":2406,"base":4}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":3232,"base":4},"right_expr":{"type":"numeric_atoms","value":9516,"base":4}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":2676,"base":4},"right_expr":{"type":"numeric_atoms","value":4996,"base":4}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1890,"base":4},"right_expr":{"type":"numeric_atoms","value":3367,"base":4}}}}},"used_operators":["8cLx32lpNA","GODebY97qR","COABgblf1C","XAx5wpdLa6","As8RqfVLgs","keWfFq85dY","vXNesLlMH1","jBncVCNhdl","s1XTVnmDOJ","SIgE0bArFf","y75s1iXyHd","yXekIHxTD4","GjBEYRfMaF","YSKBFp38Pu"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","g55IO6H4Gj","JLbD19bQDL","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⪩⨒∯-1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4570","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=4570, right_input=1254, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=6773","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=6773, right_input=1148, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1898","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1898, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=5614","layer":4},{"info":"number node, value=7376","layer":4},{"info":"compute binary expreesion, left_input=5614, right_input=7376, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=122684","layer":3},{"info":"compute unary expreesion, input=122684, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', 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":"number node, value=2406","layer":4},{"info":"compute unary expreesion, input=2406, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"number node, value=3232","layer":4},{"info":"number node, value=9516","layer":4},{"info":"compute binary expreesion, left_input=3232, right_input=9516, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-19020","layer":3},{"info":"compute binary expreesion, left_input=8320752, right_input=-19020, 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=-423788819","layer":2},{"info":"number node, value=2676","layer":4},{"info":"number node, value=4996","layer":4},{"info":"compute binary expreesion, left_input=2676, right_input=4996, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1890","layer":4},{"info":"number node, value=3367","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=3367, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-23437","layer":3},{"info":"compute binary expreesion, left_input=450, right_input=-23437, 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=-423788819, right_input=-1, 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=0, right_input=67, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-67","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1013122⪭≯⪩⨒∯103212⊭↱⪩⨒∯1221311⋹⋡⊁⪩⨒∯101330)⪟⇏(≯(⪩⨒∯1113232≄⊠⪩⨒∯1303100))∌(((⪭⩑⪱⪩⨒∯211212)≓∲⪩⨒∯302200⨒⪩⨒∯2110230)⋭≵(⪩⨒∯221310⪔⪩⨒∯1032010)⨥⫆(⪩⨒∯131202⇤⪩⨒∯310213))=⪩⨒∯-1003","reverse_text":"⪩⨒∯-1003=(⪩⨒∯1013122⪭≯⪩⨒∯103212⊭↱⪩⨒∯1221311⋹⋡⊁⪩⨒∯101330)⪟⇏(≯(⪩⨒∯1113232≄⊠⪩⨒∯1303100))∌(((⪭⩑⪱⪩⨒∯211212)≓∲⪩⨒∯302200⨒⪩⨒∯2110230)⋭≵(⪩⨒∯221310⪔⪩⨒∯1032010)⨥⫆(⪩⨒∯131202⇤⪩⨒∯310213))","cot":[{"info":"⪩⨒∯1013122⪭≯⪩⨒∯103212=NaN","layer":3},{"info":"⪩⨒∯1221311⋹⋡⊁⪩⨒∯101330=⪩⨒∯131222","layer":3},{"info":"NaN⊭↱⪩⨒∯131222=NaN","layer":2},{"info":"⪩⨒∯1113232≄⊠⪩⨒∯1303100=⪩⨒∯131330330","layer":3},{"info":"≯⪩⨒∯131330330=⪩⨒∯0","layer":2},{"info":"NaN⪟⇏⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪭⩑⪱⪩⨒∯211212=⪩⨒∯133233123300","layer":3},{"info":"⪩⨒∯302200⨒⪩⨒∯2110230=⪩⨒∯-10221030","layer":3},{"info":"⪩⨒∯133233123300≓∲⪩⨒∯-10221030=⪩⨒∯-121100220010103","layer":2},{"info":"⪩⨒∯221310⪔⪩⨒∯1032010=⪩⨒∯13002","layer":3},{"info":"⪩⨒∯131202⇤⪩⨒∯310213=⪩⨒∯-11232031","layer":3},{"info":"⪩⨒∯13002⨥⫆⪩⨒∯-11232031=⪩⨒∯-1","layer":2},{"info":"⪩⨒∯-121100220010103⋭≵⪩⨒∯-1=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯0∌⪩⨒∯1003=⪩⨒∯-1003","layer":0}]}
{"id":505,"expression_no_base_symbol":"(⊤⊝$3854$)↼⊘⨖($3250$/$2120$)↬(⨴⫝$4019$⩧⪆$8668$)⪨⊡($3434$↙$1174$⫦⪉$1857$⊹∫⫚$5191$)⊲⩕⊾(⊢≑≆($1847$⊹∫⫚$1009$))","expression":"(⊤⊝⪩⨒∯330032)↼⊘⨖(⪩⨒∯302302/⪩⨒∯201020)↬(⨴⫝⪩⨒∯332303⩧⪆⪩⨒∯2013130)⪨⊡(⪩⨒∯311222↙⪩⨒∯102112⫦⪉⪩⨒∯131001⊹∫⫚⪩⨒∯1101013)⊲⩕⊾(⊢≑≆(⪩⨒∯130313⊹∫⫚⪩⨒∯33301))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3166,"operation_count":13,"complexity_ratio":243.53846153846155,"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":3854,"base":4}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3250,"base":4},"right_expr":{"type":"numeric_atoms","value":2120,"base":4}}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":4019,"base":4},"right_expr":{"type":"numeric_atoms","value":8668,"base":4}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3434,"base":4},"right_expr":{"type":"numeric_atoms","value":1174,"base":4}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1857,"base":4},"right_expr":{"type":"numeric_atoms","value":5191,"base":4}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":1847,"base":4},"right_expr":{"type":"numeric_atoms","value":1009,"base":4}}}}},"used_operators":["kuIXHzHcAH","B5M0gjZbta","bPywburJMS","rXAclfmB4M","XhwjNDsVaA","SVb2v531z1","Ikt5ks8PT7","DmTXOeWf9t","wscyQdcy20","yyfyN0ffXY","uWAJUKEvyW","27wFxooxGf"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","rGHVDoGpnC","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","sdazOOVcIp","rysDP5nf3Z","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","eewbuw0ToL","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","tmPS8pqC7x","DpFCA1CohY","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"⪩⨒∯2233010111","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3854","layer":4},{"info":"compute unary expreesion, input=3854, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=6410","layer":3},{"info":"number node, value=3250","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=2120, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=6410, right_input=1, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-220","layer":2},{"info":"number node, value=4019","layer":4},{"info":"number node, value=8668","layer":4},{"info":"compute binary expreesion, left_input=4019, right_input=8668, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-8668","layer":3},{"info":"compute unary expreesion, input=-8668, 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":"compute binary expreesion, left_input=-220, right_input=2828198, 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=3434","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3434, right_input=1174, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3522","layer":3},{"info":"number node, value=1857","layer":4},{"info":"number node, value=5191","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=5191, 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 binary expreesion, left_input=-3522, right_input=-224, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=10882","layer":2},{"info":"number node, value=1847","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1847, right_input=1009, 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 unary expreesion, input=-320, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=833","layer":2},{"info":"compute binary expreesion, left_input=10882, right_input=833, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-179072","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-179072, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=717077","layer":0}],"base":4,"result_base":4,"text":"(⊤⊝⪩⨒∯330032)↼⊘⨖(⪩⨒∯302302/⪩⨒∯201020)↬(⨴⫝⪩⨒∯332303⩧⪆⪩⨒∯2013130)⪨⊡(⪩⨒∯311222↙⪩⨒∯102112⫦⪉⪩⨒∯131001⊹∫⫚⪩⨒∯1101013)⊲⩕⊾(⊢≑≆(⪩⨒∯130313⊹∫⫚⪩⨒∯33301))=⪩⨒∯2233010111","reverse_text":"⪩⨒∯2233010111=(⊤⊝⪩⨒∯330032)↼⊘⨖(⪩⨒∯302302/⪩⨒∯201020)↬(⨴⫝⪩⨒∯332303⩧⪆⪩⨒∯2013130)⪨⊡(⪩⨒∯311222↙⪩⨒∯102112⫦⪉⪩⨒∯131001⊹∫⫚⪩⨒∯1101013)⊲⩕⊾(⊢≑≆(⪩⨒∯130313⊹∫⫚⪩⨒∯33301))","cot":[{"info":"⊤⊝⪩⨒∯330032=⪩⨒∯1210022","layer":3},{"info":"⪩⨒∯302302/⪩⨒∯201020=⪩⨒∯1","layer":3},{"info":"⪩⨒∯1210022↼⊘⨖⪩⨒∯1=⪩⨒∯-3130","layer":2},{"info":"⪩⨒∯332303⩧⪆⪩⨒∯2013130=⪩⨒∯-2013130","layer":3},{"info":"⨴⫝⪩⨒∯-2013130=⪩⨒∯22302132212","layer":2},{"info":"⪩⨒∯-3130↬⪩⨒∯22302132212=NaN","layer":1},{"info":"⪩⨒∯311222↙⪩⨒∯102112=⪩⨒∯-313002","layer":3},{"info":"⪩⨒∯131001⊹∫⫚⪩⨒∯1101013=⪩⨒∯-3200","layer":3},{"info":"⪩⨒∯-313002⫦⪉⪩⨒∯-3200=⪩⨒∯2222002","layer":2},{"info":"⪩⨒∯130313⊹∫⫚⪩⨒∯33301=⪩⨒∯-11000","layer":3},{"info":"⊢≑≆⪩⨒∯-11000=⪩⨒∯31001","layer":2},{"info":"⪩⨒∯2222002⊲⩕⊾⪩⨒∯31001=⪩⨒∯-223232000","layer":1},{"info":"NaN⪨⊡⪩⨒∯-223232000=⪩⨒∯2233010111","layer":0}]}
{"id":506,"expression_no_base_symbol":"(≛(∤↝$4906$)⫁⪎($1819$⪁$2373$))≎⪠(($3953$⪚$8593$⩒⫫($3019$⨉))⪣⫩)","expression":"(≛(∤↝⪩⨒∯1030222)⫁⪎(⪩⨒∯130123⪁⪩⨒∯211011))≎⪠((⪩⨒∯331301⪚⪩⨒∯2012101⩒⫫(⪩⨒∯233023⨉))⪣⫩)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":73342666,"operation_count":9,"complexity_ratio":8149185.111111111,"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":4906,"base":4}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":1819,"base":4},"right_expr":{"type":"numeric_atoms","value":2373,"base":4}}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":3953,"base":4},"right_expr":{"type":"numeric_atoms","value":8593,"base":4}},"right_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"numeric_atoms","value":3019,"base":4}}}}},"used_operators":["aNhz54LH3e","W7eaUhjymW","xRrnTEsQ6j","3UMq87Qwqg","I7sXao9hZE","iuk5sVOGFA","KFSx94NKJn","HrjLwUk87U","aMUSaJuDRU"],"dependent_operators":["bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b"],"result":"⪩⨒∯10301212","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4906","layer":4},{"info":"compute unary expreesion, input=4906, 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=4906","layer":3},{"info":"number node, value=1819","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=1819, right_input=2373, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4906, 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 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=3953","layer":4},{"info":"number node, value=8593","layer":4},{"info":"compute binary expreesion, left_input=3953, right_input=8593, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-9636","layer":3},{"info":"number node, value=3019","layer":4},{"info":"compute unary expreesion, input=3019, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=8366","layer":3},{"info":"compute binary expreesion, left_input=-9636, right_input=8366, 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":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":4,"result_base":4,"text":"(≛(∤↝⪩⨒∯1030222)⫁⪎(⪩⨒∯130123⪁⪩⨒∯211011))≎⪠((⪩⨒∯331301⪚⪩⨒∯2012101⩒⫫(⪩⨒∯233023⨉))⪣⫩)=⪩⨒∯10301212","reverse_text":"⪩⨒∯10301212=(≛(∤↝⪩⨒∯1030222)⫁⪎(⪩⨒∯130123⪁⪩⨒∯211011))≎⪠((⪩⨒∯331301⪚⪩⨒∯2012101⩒⫫(⪩⨒∯233023⨉))⪣⫩)","cot":[{"info":"∤↝⪩⨒∯1030222=⪩⨒∯1030222","layer":3},{"info":"⪩⨒∯130123⪁⪩⨒∯211011=NaN","layer":3},{"info":"⪩⨒∯1030222⫁⪎NaN=NaN","layer":2},{"info":"≛NaN=NaN","layer":1},{"info":"⪩⨒∯331301⪚⪩⨒∯2012101=⪩⨒∯-2112210","layer":3},{"info":"⪩⨒∯233023⨉=⪩⨒∯2002232","layer":3},{"info":"⪩⨒∯-2112210⩒⫫⪩⨒∯2002232=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯2200⪣⫩=⪩⨒∯32101","layer":1},{"info":"NaN≎⪠⪩⨒∯32101=⪩⨒∯10301212","layer":0}]}
{"id":507,"expression_no_base_symbol":"↨⩢⫨(⇠$2851$)⊕∕($1325$⇴∐$3489$)→⨶⪴($2812$↱$1053$⫦⪉(⇜⊴$4137$))","expression":"↨⩢⫨(⇠⪩⨒∯230203)⊕∕(⪩⨒∯110231⇴∐⪩⨒∯312201)→⨶⪴(⪩⨒∯223330↱⪩⨒∯100131⫦⪉(⇜⊴⪩⨒∯1000221))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":236,"operation_count":8,"complexity_ratio":29.5,"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":2851,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1325,"base":4},"right_expr":{"type":"numeric_atoms","value":3489,"base":4}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2812,"base":4},"right_expr":{"type":"numeric_atoms","value":1053,"base":4}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":4137,"base":4}}}}},"used_operators":["Z5CJsN7DuW","bF6eod5Gvf","9cloC0Ngie","18saOjeKKm","HnzytWxmAO","wscyQdcy20","SR5kFfdi6N","XwDhCwWbUn"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","8w2t5hMYqp","9FxExcQeMw","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2851","layer":4},{"info":"compute unary expreesion, input=2851, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2609","layer":3},{"info":"number node, value=1325","layer":4},{"info":"number node, value=3489","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=3489, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2609, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-2609","layer":2},{"info":"number node, value=2812","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=2812, right_input=1053, 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=-2637","layer":3},{"info":"number node, value=4137","layer":4},{"info":"compute unary expreesion, input=4137, 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=-962618","layer":3},{"info":"compute binary expreesion, left_input=-2637, right_input=-962618, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=9112","layer":2},{"info":"compute binary expreesion, left_input=-2609, right_input=9112, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-27336","layer":1},{"info":"compute unary expreesion, input=-27336, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":4,"result_base":4,"text":"↨⩢⫨(⇠⪩⨒∯230203)⊕∕(⪩⨒∯110231⇴∐⪩⨒∯312201)→⨶⪴(⪩⨒∯223330↱⪩⨒∯100131⫦⪉(⇜⊴⪩⨒∯1000221))=⪩⨒∯0","reverse_text":"⪩⨒∯0=↨⩢⫨(⇠⪩⨒∯230203)⊕∕(⪩⨒∯110231⇴∐⪩⨒∯312201)→⨶⪴(⪩⨒∯223330↱⪩⨒∯100131⫦⪉(⇜⊴⪩⨒∯1000221))","cot":[{"info":"⇠⪩⨒∯230203=⪩⨒∯-220301","layer":3},{"info":"⪩⨒∯110231⇴∐⪩⨒∯312201=NaN","layer":3},{"info":"⪩⨒∯-220301⊕∕NaN=⪩⨒∯-220301","layer":2},{"info":"⪩⨒∯223330↱⪩⨒∯100131=⪩⨒∯-221031","layer":3},{"info":"⇜⊴⪩⨒∯1000221=⪩⨒∯-3223000322","layer":3},{"info":"⪩⨒∯-221031⫦⪉⪩⨒∯-3223000322=⪩⨒∯2032120","layer":2},{"info":"⪩⨒∯-220301→⨶⪴⪩⨒∯2032120=⪩⨒∯-12223020","layer":1},{"info":"↨⩢⫨⪩⨒∯-12223020=⪩⨒∯0","layer":0}]}
{"id":508,"expression_no_base_symbol":"(($5045$≄⊠$2914$)⨪↰⇹$1090$⊋$1102$⨵⪆(∐⩳⋚($1897$≬⋮$1383$)))⪎↠(($1353$⪶≀⋏$1837$)∘($2872$⫥∨⫟$3157$)⩷∴(⇜⊴($2854$⪬∳)))","expression":"((⪩⨒∯1032311≄⊠⪩⨒∯231202)⨪↰⇹⪩⨒∯101002⊋⪩⨒∯101032⨵⪆(∐⩳⋚(⪩⨒∯131221≬⋮⪩⨒∯111213)))⪎↠((⪩⨒∯111021⪶≀⋏⪩⨒∯130231)∘(⪩⨒∯230320⫥∨⫟⪩⨒∯301111)⩷∴(⇜⊴(⪩⨒∯230212⪬∳)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":60619,"operation_count":13,"complexity_ratio":4663.0,"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":5045,"base":4},"right_expr":{"type":"numeric_atoms","value":2914,"base":4}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1090,"base":4},"right_expr":{"type":"numeric_atoms","value":1102,"base":4}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1897,"base":4},"right_expr":{"type":"numeric_atoms","value":1383,"base":4}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1353,"base":4},"right_expr":{"type":"numeric_atoms","value":1837,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2872,"base":4},"right_expr":{"type":"numeric_atoms","value":3157,"base":4}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⪬∳","unary_expr":{"type":"numeric_atoms","value":2854,"base":4}}}}},"used_operators":["3tVxb0NHM4","2DQ55sFlQl","tmPS8pqC7x","vXNesLlMH1","W4tP9CfskL","SL6IHkK8vl","kbkesczE7y","9FxExcQeMw","Z5m6OM72h2","zR4jO40bMj","KYD54nUTWz","XwDhCwWbUn","O9U3z1385E"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","eH2TOUuTDT","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","8HhzD0ZcuI","rGHVDoGpnC","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA"],"result":"⪩⨒∯100010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5045","layer":4},{"info":"number node, value=2914","layer":4},{"info":"compute binary expreesion, left_input=5045, right_input=2914, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=51292","layer":3},{"info":"number node, value=1090","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=1090, right_input=1102, 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=220644","layer":3},{"info":"compute binary expreesion, left_input=51292, right_input=220644, 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=51292","layer":2},{"info":"number node, value=1897","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=1383, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=51292, right_input=112685, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1353","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=1837, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-7965","layer":3},{"info":"number node, value=2872","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=3157, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7965, right_input=nan, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-15930","layer":2},{"info":"number node, value=2854","layer":4},{"info":"compute unary expreesion, input=2854, 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 unary expreesion, input=-709, 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=237470","layer":2},{"info":"compute binary expreesion, left_input=-15930, right_input=237470, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-506832","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-506832, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=1028","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1032311≄⊠⪩⨒∯231202)⨪↰⇹⪩⨒∯101002⊋⪩⨒∯101032⨵⪆(∐⩳⋚(⪩⨒∯131221≬⋮⪩⨒∯111213)))⪎↠((⪩⨒∯111021⪶≀⋏⪩⨒∯130231)∘(⪩⨒∯230320⫥∨⫟⪩⨒∯301111)⩷∴(⇜⊴(⪩⨒∯230212⪬∳)))=⪩⨒∯100010","reverse_text":"⪩⨒∯100010=((⪩⨒∯1032311≄⊠⪩⨒∯231202)⨪↰⇹⪩⨒∯101002⊋⪩⨒∯101032⨵⪆(∐⩳⋚(⪩⨒∯131221≬⋮⪩⨒∯111213)))⪎↠((⪩⨒∯111021⪶≀⋏⪩⨒∯130231)∘(⪩⨒∯230320⫥∨⫟⪩⨒∯301111)⩷∴(⇜⊴(⪩⨒∯230212⪬∳)))","cot":[{"info":"⪩⨒∯1032311≄⊠⪩⨒∯231202=⪩⨒∯30201130","layer":3},{"info":"⪩⨒∯101002⊋⪩⨒∯101032=⪩⨒∯311313210","layer":3},{"info":"⪩⨒∯30201130⨪↰⇹⪩⨒∯311313210=⪩⨒∯30201130","layer":2},{"info":"⪩⨒∯131221≬⋮⪩⨒∯111213=⪩⨒∯31210","layer":3},{"info":"∐⩳⋚⪩⨒∯31210=⪩⨒∯123200231","layer":2},{"info":"⪩⨒∯30201130⨵⪆⪩⨒∯123200231=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯111021⪶≀⋏⪩⨒∯130231=⪩⨒∯-1330131","layer":3},{"info":"⪩⨒∯230320⫥∨⫟⪩⨒∯301111=NaN","layer":3},{"info":"⪩⨒∯-1330131∘NaN=⪩⨒∯-3320322","layer":2},{"info":"⪩⨒∯230212⪬∳=⪩⨒∯-23011","layer":3},{"info":"⇜⊴⪩⨒∯-23011=⪩⨒∯321332132","layer":2},{"info":"⪩⨒∯-3320322⩷∴⪩⨒∯321332132=⪩⨒∯-1323233100","layer":1},{"info":"⪩⨒∯2200⪎↠⪩⨒∯-1323233100=⪩⨒∯100010","layer":0}]}
{"id":509,"expression_no_base_symbol":"(($1813$⩘$2954$∖$3984$∠⫱$4073$)⋳⪒(⋃(∡$2138$)))≭(⫟(($1358$⨀⨒)⊍))","expression":"((⪩⨒∯130111⩘⪩⨒∯232022∖⪩⨒∯332100∠⫱⪩⨒∯333221)⋳⪒(⋃(∡⪩⨒∯201122)))≭(⫟((⪩⨒∯111032⨀⨒)⊍))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":26848,"operation_count":10,"complexity_ratio":2684.8,"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":1813,"base":4},"right_expr":{"type":"numeric_atoms","value":2954,"base":4}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3984,"base":4},"right_expr":{"type":"numeric_atoms","value":4073,"base":4}}},"right_expr":{"type":"unary","operator":"⋃","unary_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":2138,"base":4}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⊍","unary_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":1358,"base":4}}}}},"used_operators":["rxpJgHHUmx","12rbrZMWeM","tXD093vOjl","cHh1gJQ2o6","QvoQhV0rrE","3mBM5G4a3l","pRsWfj4Fpp","z4E1FaHLuy","3nqY3DE9mg","j6NVkjMzuk"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","g55IO6H4Gj","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1813","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=2954, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":3},{"info":"number node, value=3984","layer":4},{"info":"number node, value=4073","layer":4},{"info":"compute binary expreesion, left_input=3984, right_input=4073, 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=160, right_input=1234, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=54","layer":2},{"info":"number node, value=2138","layer":4},{"info":"compute unary expreesion, input=2138, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2138","layer":3},{"info":"compute unary expreesion, input=-2138, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-4174","layer":2},{"info":"compute binary expreesion, left_input=54, right_input=-4174, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3995","layer":1},{"info":"number node, value=1358","layer":4},{"info":"compute unary expreesion, input=1358, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=15744","layer":3},{"info":"compute unary expreesion, input=15744, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=45552","layer":2},{"info":"compute unary expreesion, input=45552, 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=-135749","layer":1},{"info":"compute binary expreesion, left_input=3995, right_input=-135749, 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":4,"result_base":4,"text":"((⪩⨒∯130111⩘⪩⨒∯232022∖⪩⨒∯332100∠⫱⪩⨒∯333221)⋳⪒(⋃(∡⪩⨒∯201122)))≭(⫟((⪩⨒∯111032⨀⨒)⊍))=NaN","reverse_text":"NaN=((⪩⨒∯130111⩘⪩⨒∯232022∖⪩⨒∯332100∠⫱⪩⨒∯333221)⋳⪒(⋃(∡⪩⨒∯201122)))≭(⫟((⪩⨒∯111032⨀⨒)⊍))","cot":[{"info":"⪩⨒∯130111⩘⪩⨒∯232022=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯332100∠⫱⪩⨒∯333221=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯2200∖⪩⨒∯103102=⪩⨒∯312","layer":2},{"info":"∡⪩⨒∯201122=⪩⨒∯-201122","layer":3},{"info":"⋃⪩⨒∯-201122=⪩⨒∯-1001032","layer":2},{"info":"⪩⨒∯312⋳⪒⪩⨒∯-1001032=⪩⨒∯332123","layer":1},{"info":"⪩⨒∯111032⨀⨒=⪩⨒∯3312000","layer":3},{"info":"⪩⨒∯3312000⊍=⪩⨒∯23013300","layer":2},{"info":"⫟⪩⨒∯23013300=⪩⨒∯-201021011","layer":1},{"info":"⪩⨒∯332123≭⪩⨒∯-201021011=NaN","layer":0}]}
{"id":510,"expression_no_base_symbol":"(($1250$⨂≜$3540$⫘($2184$⫰⋱$5254$))⪔⊥(≻⋜($2636$∠↢$1001$)))⫗⊷⫓($1581$⪢$1562$∼($1449$↡⊰⫅$7042$)⋘⨑⨽)","expression":"((⪩⨒∯103202⨂≜⪩⨒∯313110⫘(⪩⨒∯202020⫰⋱⪩⨒∯1102012))⪔⊥(≻⋜(⪩⨒∯221030∠↢⪩⨒∯33221)))⫗⊷⫓(⪩⨒∯120231⪢⪩⨒∯120122∼(⪩⨒∯112221↡⊰⫅⪩⨒∯1232002)⋘⨑⨽)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":368377,"operation_count":11,"complexity_ratio":33488.818181818184,"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":1250,"base":4},"right_expr":{"type":"numeric_atoms","value":3540,"base":4}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2184,"base":4},"right_expr":{"type":"numeric_atoms","value":5254,"base":4}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2636,"base":4},"right_expr":{"type":"numeric_atoms","value":1001,"base":4}}}},"right_expr":{"type":"unary","operator":"⋘⨑⨽","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1581,"base":4},"right_expr":{"type":"numeric_atoms","value":1562,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1449,"base":4},"right_expr":{"type":"numeric_atoms","value":7042,"base":4}}}}},"used_operators":["zashukvMKz","HJ9erzHUuu","48vC8HMD2b","k1SHOSEABc","6o9Blt3TJ6","3tj9sqzovi","KbjG8mgYpV","WmT3o8z6ya","DyGG3AbaNP","dWAJyo7jo9","VCtxkLNOzz"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn"],"result":"⪩⨒∯-2012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1250","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=1250, right_input=3540, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2184","layer":4},{"info":"number node, value=5254","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=5254, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2151","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2151, 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":"number node, value=2636","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=1001, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-23476","layer":3},{"info":"compute unary expreesion, input=-23476, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', 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":"number node, value=1581","layer":4},{"info":"number node, value=1562","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=1562, 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=1449","layer":4},{"info":"number node, value=7042","layer":4},{"info":"compute binary expreesion, left_input=1449, right_input=7042, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=14084","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14084, 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 = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', 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":4,"result_base":4,"text":"((⪩⨒∯103202⨂≜⪩⨒∯313110⫘(⪩⨒∯202020⫰⋱⪩⨒∯1102012))⪔⊥(≻⋜(⪩⨒∯221030∠↢⪩⨒∯33221)))⫗⊷⫓(⪩⨒∯120231⪢⪩⨒∯120122∼(⪩⨒∯112221↡⊰⫅⪩⨒∯1232002)⋘⨑⨽)=⪩⨒∯-2012","reverse_text":"⪩⨒∯-2012=((⪩⨒∯103202⨂≜⪩⨒∯313110⫘(⪩⨒∯202020⫰⋱⪩⨒∯1102012))⪔⊥(≻⋜(⪩⨒∯221030∠↢⪩⨒∯33221)))⫗⊷⫓(⪩⨒∯120231⪢⪩⨒∯120122∼(⪩⨒∯112221↡⊰⫅⪩⨒∯1232002)⋘⨑⨽)","cot":[{"info":"⪩⨒∯103202⨂≜⪩⨒∯313110=NaN","layer":3},{"info":"⪩⨒∯202020⫰⋱⪩⨒∯1102012=⪩⨒∯-201213","layer":3},{"info":"NaN⫘⪩⨒∯-201213=NaN","layer":2},{"info":"⪩⨒∯221030∠↢⪩⨒∯33221=⪩⨒∯-11232310","layer":3},{"info":"≻⋜⪩⨒∯-11232310=NaN","layer":2},{"info":"NaN⪔⊥NaN=NaN","layer":1},{"info":"⪩⨒∯120231⪢⪩⨒∯120122=NaN","layer":3},{"info":"⪩⨒∯112221↡⊰⫅⪩⨒∯1232002=⪩⨒∯3130010","layer":3},{"info":"NaN∼⪩⨒∯3130010=NaN","layer":2},{"info":"NaN⋘⨑⨽=NaN","layer":1},{"info":"NaN⫗⊷⫓NaN=⪩⨒∯-2012","layer":0}]}
{"id":511,"expression_no_base_symbol":"(⪲⇎(↡($4498$⊭↱$1118$)))⫦⪉(⇨($2952$∲⫓$2690$))∘($4317$∊∟⩊$2631$)↳≱(≯$1121$)","expression":"(⪲⇎(↡(⪩⨒∯1012102⊭↱⪩⨒∯101132)))⫦⪉(⇨(⪩⨒∯232020∲⫓⪩⨒∯222002))∘(⪩⨒∯1003131∊∟⩊⪩⨒∯221013)↳≱(≯⪩⨒∯101201)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":129,"operation_count":10,"complexity_ratio":12.9,"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":4498,"base":4},"right_expr":{"type":"numeric_atoms","value":1118,"base":4}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2952,"base":4},"right_expr":{"type":"numeric_atoms","value":2690,"base":4}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":4317,"base":4},"right_expr":{"type":"numeric_atoms","value":2631,"base":4}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1121,"base":4}}}}},"used_operators":["wscyQdcy20","XPYlsWDdGa","MXaNJeIAZ3","COABgblf1C","Z5m6OM72h2","G9tJMlZ94a","i8ToyICDmI","JwTKLfZU96","ddLRYrp01A","keWfFq85dY"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","W4YGzv6Whe","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","g55IO6H4Gj","JLbD19bQDL"],"result":"⪩⨒∯330103222","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4498","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=4498, right_input=1118, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6755","layer":3},{"info":"compute unary expreesion, input=-6755, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-60795","layer":2},{"info":"compute unary expreesion, input=-60795, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-121590","layer":1},{"info":"number node, value=2952","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=2952, right_input=2690, 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 = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":2},{"info":"number node, value=4317","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=4317, right_input=2631, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=2631","layer":3},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2631, right_input=0, 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 = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-121590, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=247018","layer":0}],"base":4,"result_base":4,"text":"(⪲⇎(↡(⪩⨒∯1012102⊭↱⪩⨒∯101132)))⫦⪉(⇨(⪩⨒∯232020∲⫓⪩⨒∯222002))∘(⪩⨒∯1003131∊∟⩊⪩⨒∯221013)↳≱(≯⪩⨒∯101201)=⪩⨒∯330103222","reverse_text":"⪩⨒∯330103222=(⪲⇎(↡(⪩⨒∯1012102⊭↱⪩⨒∯101132)))⫦⪉(⇨(⪩⨒∯232020∲⫓⪩⨒∯222002))∘(⪩⨒∯1003131∊∟⩊⪩⨒∯221013)↳≱(≯⪩⨒∯101201)","cot":[{"info":"⪩⨒∯1012102⊭↱⪩⨒∯101132=⪩⨒∯-1221203","layer":3},{"info":"↡⪩⨒∯-1221203=⪩⨒∯-32311323","layer":2},{"info":"⪲⇎⪩⨒∯-32311323=⪩⨒∯-131223312","layer":1},{"info":"⪩⨒∯232020∲⫓⪩⨒∯222002=⪩⨒∯0","layer":3},{"info":"⇨⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯1003131∊∟⩊⪩⨒∯221013=⪩⨒∯221013","layer":3},{"info":"≯⪩⨒∯101201=⪩⨒∯0","layer":3},{"info":"⪩⨒∯221013↳≱⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"NaN∘⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯-131223312⫦⪉NaN=⪩⨒∯330103222","layer":0}]}
{"id":512,"expression_no_base_symbol":"(($2133$≹⇙⪍$4666$⊭↱$6235$⨑⩅≇$1123$)≁($2668$∠↢$3329$)⪬($1594$⩹$2108$))⊀⩕","expression":"((⪩⨒∯201111≹⇙⪍⪩⨒∯1020322⊭↱⪩⨒∯1201123⨑⩅≇⪩⨒∯101203)≁(⪩⨒∯221230∠↢⪩⨒∯310001)⪬(⪩⨒∯120322⩹⪩⨒∯200330))⊀⩕","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2535,"operation_count":8,"complexity_ratio":316.875,"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":2133,"base":4},"right_expr":{"type":"numeric_atoms","value":4666,"base":4}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":6235,"base":4},"right_expr":{"type":"numeric_atoms","value":1123,"base":4}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2668,"base":4},"right_expr":{"type":"numeric_atoms","value":3329,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1594,"base":4},"right_expr":{"type":"numeric_atoms","value":2108,"base":4}}}}},"used_operators":["r0FS3hW4cC","8N2wDY1A35","COABgblf1C","AHs5Up7iyr","h92wMvzauj","Ez1Nq5fNfI","KbjG8mgYpV","2Wsdkap16l"],"dependent_operators":["rGHVDoGpnC","nhYeJWJD5X","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2133","layer":4},{"info":"number node, value=4666","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=4666, 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=6235","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=6235, right_input=1123, 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=-18705","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18705, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2668","layer":4},{"info":"number node, value=3329","layer":4},{"info":"compute binary expreesion, left_input=2668, right_input=3329, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-56196","layer":3},{"info":"number node, value=1594","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=1594, right_input=2108, 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=2106","layer":3},{"info":"compute binary expreesion, left_input=-56196, right_input=2106, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯201111≹⇙⪍⪩⨒∯1020322⊭↱⪩⨒∯1201123⨑⩅≇⪩⨒∯101203)≁(⪩⨒∯221230∠↢⪩⨒∯310001)⪬(⪩⨒∯120322⩹⪩⨒∯200330))⊀⩕=NaN","reverse_text":"NaN=((⪩⨒∯201111≹⇙⪍⪩⨒∯1020322⊭↱⪩⨒∯1201123⨑⩅≇⪩⨒∯101203)≁(⪩⨒∯221230∠↢⪩⨒∯310001)⪬(⪩⨒∯120322⩹⪩⨒∯200330))⊀⩕","cot":[{"info":"⪩⨒∯201111≹⇙⪍⪩⨒∯1020322=NaN","layer":3},{"info":"⪩⨒∯1201123⨑⩅≇⪩⨒∯101203=⪩⨒∯-10210101","layer":3},{"info":"NaN⊭↱⪩⨒∯-10210101=NaN","layer":2},{"info":"⪩⨒∯221230∠↢⪩⨒∯310001=⪩⨒∯-31232010","layer":3},{"info":"⪩⨒∯120322⩹⪩⨒∯200330=⪩⨒∯200322","layer":3},{"info":"⪩⨒∯-31232010⪬⪩⨒∯200322=⪩⨒∯103102","layer":2},{"info":"NaN≁⪩⨒∯103102=NaN","layer":1},{"info":"NaN⊀⩕=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"(((⫟$3349$)⫥∨⫟($1899$∲⫓$1923$))⪗)⇣⩺⋵((⊀(≸≮$4338$))⨀⨒)","expression":"(((⫟⪩⨒∯310111)⫥∨⫟(⪩⨒∯131223∲⫓⪩⨒∯132003))⪗)⇣⩺⋵((⊀(≸≮⪩⨒∯1003302))⨀⨒)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10220,"operation_count":8,"complexity_ratio":1277.5,"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":3349,"base":4}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1899,"base":4},"right_expr":{"type":"numeric_atoms","value":1923,"base":4}}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":4338,"base":4}}}}},"used_operators":["F4yD0voBRQ","VEQNXA0ZBg","KYD54nUTWz","z4E1FaHLuy","i8ToyICDmI","j6NVkjMzuk","oPMjh9089D","AljMvE3RRm"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"⪩⨒∯-10010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3349","layer":4},{"info":"compute unary expreesion, input=3349, 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=-9140","layer":3},{"info":"number node, value=1899","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=1923, 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=-9140, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":1},{"info":"number node, value=4338","layer":4},{"info":"compute unary expreesion, input=4338, 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 = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝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":4,"result_base":4,"text":"(((⫟⪩⨒∯310111)⫥∨⫟(⪩⨒∯131223∲⫓⪩⨒∯132003))⪗)⇣⩺⋵((⊀(≸≮⪩⨒∯1003302))⨀⨒)=⪩⨒∯-10010","reverse_text":"⪩⨒∯-10010=(((⫟⪩⨒∯310111)⫥∨⫟(⪩⨒∯131223∲⫓⪩⨒∯132003))⪗)⇣⩺⋵((⊀(≸≮⪩⨒∯1003302))⨀⨒)","cot":[{"info":"⫟⪩⨒∯310111=⪩⨒∯-2032310","layer":3},{"info":"⪩⨒∯131223∲⫓⪩⨒∯132003=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2032310⫥∨⫟⪩⨒∯0=NaN","layer":2},{"info":"NaN⪗=NaN","layer":1},{"info":"≸≮⪩⨒∯1003302=NaN","layer":3},{"info":"⊀NaN=NaN","layer":2},{"info":"NaN⨀⨒=NaN","layer":1},{"info":"NaN⇣⩺⋵NaN=⪩⨒∯-10010","layer":0}]}
{"id":514,"expression_no_base_symbol":"((∂$3048$)⨟⋌⩍(⫯$1180$)⊍⩺⋍(≻⋜($5459$∝$5250$)))⇷(⇵⪽($4506$≳⇉$3632$-(⊆⋠$5899$)))","expression":"((∂⪩⨒∯233220)⨟⋌⩍(⫯⪩⨒∯102130)⊍⩺⋍(≻⋜(⪩⨒∯1111103∝⪩⨒∯1102002)))⇷(⇵⪽(⪩⨒∯1012122≳⇉⪩⨒∯320300-(⊆⋠⪩⨒∯1130023)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":211541300,"operation_count":11,"complexity_ratio":19231027.272727273,"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":3048,"base":4}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1180,"base":4}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5459,"base":4},"right_expr":{"type":"numeric_atoms","value":5250,"base":4}}}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4506,"base":4},"right_expr":{"type":"numeric_atoms","value":3632,"base":4}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":5899,"base":4}}}}},"used_operators":["mp7IySMOzn","OXDGMFPWZM","rGHVDoGpnC","Uaa54Peajs","H6BK1Evt7c","3tj9sqzovi","cTDWOvIxvz","ZGCBLdVRRX","rysDP5nf3Z","V0kx6qeWkN","EBhcHTkKd8"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","Tcnh7f0tEr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","7j4O788W3g","W4YGzv6Whe","COABgblf1C","U7g4x0WXJJ","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3048","layer":4},{"info":"compute unary expreesion, input=3048, 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=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-34772","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-34772, 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=5459","layer":4},{"info":"number node, value=5250","layer":4},{"info":"compute binary expreesion, left_input=5459, right_input=5250, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5464","layer":3},{"info":"compute unary expreesion, input=5464, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', 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":"number node, value=4506","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=4506, right_input=3632, 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=5899","layer":4},{"info":"compute unary expreesion, input=5899, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟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":4,"result_base":4,"text":"((∂⪩⨒∯233220)⨟⋌⩍(⫯⪩⨒∯102130)⊍⩺⋍(≻⋜(⪩⨒∯1111103∝⪩⨒∯1102002)))⇷(⇵⪽(⪩⨒∯1012122≳⇉⪩⨒∯320300-(⊆⋠⪩⨒∯1130023)))=NaN","reverse_text":"NaN=((∂⪩⨒∯233220)⨟⋌⩍(⫯⪩⨒∯102130)⊍⩺⋍(≻⋜(⪩⨒∯1111103∝⪩⨒∯1102002)))⇷(⇵⪽(⪩⨒∯1012122≳⇉⪩⨒∯320300-(⊆⋠⪩⨒∯1130023)))","cot":[{"info":"∂⪩⨒∯233220=NaN","layer":3},{"info":"⫯⪩⨒∯102130=⪩⨒∯-20133110","layer":3},{"info":"NaN⨟⋌⩍⪩⨒∯-20133110=NaN","layer":2},{"info":"⪩⨒∯1111103∝⪩⨒∯1102002=⪩⨒∯1111120","layer":3},{"info":"≻⋜⪩⨒∯1111120=NaN","layer":2},{"info":"NaN⊍⩺⋍NaN=NaN","layer":1},{"info":"⪩⨒∯1012122≳⇉⪩⨒∯320300=NaN","layer":3},{"info":"⊆⋠⪩⨒∯1130023=⪩⨒∯0","layer":3},{"info":"NaN-⪩⨒∯0=NaN","layer":2},{"info":"⇵⪽NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"(($7018$⊹∫⫚$6305$)⇴∐($4293$∕⩚$1217$))⋕⪉⪜(≑⋹($2890$≦↸$2497$))≎⊠⪸((∂(⪛⨧$2482$))↛⩡⫤)","expression":"((⪩⨒∯1231222⊹∫⫚⪩⨒∯1202201)⇴∐(⪩⨒∯1003011∕⩚⪩⨒∯103001))⋕⪉⪜(≑⋹(⪩⨒∯231022≦↸⪩⨒∯213001))≎⊠⪸((∂(⪛⨧⪩⨒∯212302))↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14937,"operation_count":10,"complexity_ratio":1493.7,"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":7018,"base":4},"right_expr":{"type":"numeric_atoms","value":6305,"base":4}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4293,"base":4},"right_expr":{"type":"numeric_atoms","value":1217,"base":4}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":2890,"base":4},"right_expr":{"type":"numeric_atoms","value":2497,"base":4}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":2482,"base":4}}}}},"used_operators":["bJkvcejdHO","z6LnFrNh4i","HnzytWxmAO","uWAJUKEvyW","z9ffQ9n5Zr","6B9nyZLogK","RygbFNSyEJ","FU0Cs4j7VP","Uaa54Peajs","6NJAcO2OWT"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7018","layer":4},{"info":"number node, value=6305","layer":4},{"info":"compute binary expreesion, left_input=7018, right_input=6305, 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=4293","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=4293, right_input=1217, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4296","layer":3},{"info":"compute binary expreesion, left_input=-124, right_input=-4296, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":2},{"info":"number node, value=2890","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=2497, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-10093","layer":3},{"info":"compute unary expreesion, input=-10093, 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=-116, right_input=-766, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":1},{"info":"number node, value=2482","layer":4},{"info":"compute unary expreesion, input=2482, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=6365","layer":3},{"info":"compute unary expreesion, input=6365, 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 unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2802, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1231222⊹∫⫚⪩⨒∯1202201)⇴∐(⪩⨒∯1003011∕⩚⪩⨒∯103001))⋕⪉⪜(≑⋹(⪩⨒∯231022≦↸⪩⨒∯213001))≎⊠⪸((∂(⪛⨧⪩⨒∯212302))↛⩡⫤)=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⪩⨒∯1231222⊹∫⫚⪩⨒∯1202201)⇴∐(⪩⨒∯1003011∕⩚⪩⨒∯103001))⋕⪉⪜(≑⋹(⪩⨒∯231022≦↸⪩⨒∯213001))≎⊠⪸((∂(⪛⨧⪩⨒∯212302))↛⩡⫤)","cot":[{"info":"⪩⨒∯1231222⊹∫⫚⪩⨒∯1202201=⪩⨒∯-1330","layer":3},{"info":"⪩⨒∯1003011∕⩚⪩⨒∯103001=⪩⨒∯-1003020","layer":3},{"info":"⪩⨒∯-1330⇴∐⪩⨒∯-1003020=⪩⨒∯-1310","layer":2},{"info":"⪩⨒∯231022≦↸⪩⨒∯213001=⪩⨒∯-2131231","layer":3},{"info":"≑⋹⪩⨒∯-2131231=⪩⨒∯-23332","layer":2},{"info":"⪩⨒∯-1310⋕⪉⪜⪩⨒∯-23332=⪩⨒∯223302","layer":1},{"info":"⪛⨧⪩⨒∯212302=⪩⨒∯1203131","layer":3},{"info":"∂⪩⨒∯1203131=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⪩⨒∯223302≎⊠⪸NaN=⪩⨒∯1003","layer":0}]}
{"id":516,"expression_no_base_symbol":"((⨵≀≌$2418$)⪔($4347$≀⩗∶$2444$)⋻⩜⩜($2586$⨓$4490$)⪝($3277$⪢$1749$))↳≱(($5500$⊫∞)∌↝($4145$⪠⩆⊳)⨹)","expression":"((⨵≀≌⪩⨒∯211302)⪔(⪩⨒∯1003323≀⩗∶⪩⨒∯212030)⋻⩜⩜(⪩⨒∯220122⨓⪩⨒∯1012022)⪝(⪩⨒∯303031⪢⪩⨒∯123111))↳≱((⪩⨒∯1111330⊫∞)∌↝(⪩⨒∯1000301⪠⩆⊳)⨹)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37048,"operation_count":12,"complexity_ratio":3087.3333333333335,"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":2418,"base":4}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":4347,"base":4},"right_expr":{"type":"numeric_atoms","value":2444,"base":4}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2586,"base":4},"right_expr":{"type":"numeric_atoms","value":4490,"base":4}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3277,"base":4},"right_expr":{"type":"numeric_atoms","value":1749,"base":4}}}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":5500,"base":4}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4145,"base":4}}}}},"used_operators":["JwTKLfZU96","oDCm7WA9JY","GjBEYRfMaF","srAu1WTS94","8INZBEW696","wicAB68Tmb","3ViojmjbAp","dWAJyo7jo9","UnCoSGIALn","9Isq31Ruls","pABnYW3G3E","JLbD19bQDL"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","mp7IySMOzn","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2418","layer":4},{"info":"compute unary expreesion, input=2418, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7254","layer":3},{"info":"number node, value=4347","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=4347, right_input=2444, 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=-7254, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=-6760","layer":2},{"info":"number node, value=2586","layer":4},{"info":"number node, value=4490","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=4490, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4493","layer":3},{"info":"number node, value=3277","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=3277, right_input=1749, 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=-4493, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6760, 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":1},{"info":"number node, value=5500","layer":4},{"info":"compute unary expreesion, input=5500, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=4145","layer":4},{"info":"compute unary expreesion, input=4145, 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=0, 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":2},{"info":"compute unary expreesion, input=0, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⨵≀≌⪩⨒∯211302)⪔(⪩⨒∯1003323≀⩗∶⪩⨒∯212030)⋻⩜⩜(⪩⨒∯220122⨓⪩⨒∯1012022)⪝(⪩⨒∯303031⪢⪩⨒∯123111))↳≱((⪩⨒∯1111330⊫∞)∌↝(⪩⨒∯1000301⪠⩆⊳)⨹)=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⨵≀≌⪩⨒∯211302)⪔(⪩⨒∯1003323≀⩗∶⪩⨒∯212030)⋻⩜⩜(⪩⨒∯220122⨓⪩⨒∯1012022)⪝(⪩⨒∯303031⪢⪩⨒∯123111))↳≱((⪩⨒∯1111330⊫∞)∌↝(⪩⨒∯1000301⪠⩆⊳)⨹)","cot":[{"info":"⨵≀≌⪩⨒∯211302=⪩⨒∯-1301112","layer":3},{"info":"⪩⨒∯1003323≀⩗∶⪩⨒∯212030=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1301112⪔⪩⨒∯0=⪩⨒∯-1221220","layer":2},{"info":"⪩⨒∯220122⨓⪩⨒∯1012022=⪩⨒∯-1012031","layer":3},{"info":"⪩⨒∯303031⪢⪩⨒∯123111=NaN","layer":3},{"info":"⪩⨒∯-1012031⪝NaN=NaN","layer":2},{"info":"⪩⨒∯-1221220⋻⩜⩜NaN=NaN","layer":1},{"info":"⪩⨒∯1111330⊫∞=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1000301⪠⩆⊳=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0∌↝⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⨹=⪩⨒∯0","layer":1},{"info":"NaN↳≱⪩⨒∯0=⪩⨒∯0","layer":0}]}
{"id":517,"expression_no_base_symbol":"⇖⫷⫕(∓⪦$1375$↞⋁$1167$∘(⫡⇟⇯$1717$))","expression":"⇖⫷⫕(∓⪦⪩⨒∯111133↞⋁⪩⨒∯102033∘(⫡⇟⇯⪩⨒∯122311))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":899,"operation_count":5,"complexity_ratio":179.8,"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":1375,"base":4},"right_expr":{"type":"numeric_atoms","value":1167,"base":4}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":1717,"base":4}}}}},"used_operators":["UHmRx3INFg","D309nIvmXG","Z5m6OM72h2","RqrPlJkxDo","qWUSsah53b"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","eH2TOUuTDT","rysDP5nf3Z","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DZ8iAZOCBD","P8v4zCKN1o"],"result":"⪩⨒∯230012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1375","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=1167, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1717","layer":4},{"info":"compute unary expreesion, input=1717, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=4302","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4302, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , 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":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":4,"result_base":4,"text":"⇖⫷⫕(∓⪦⪩⨒∯111133↞⋁⪩⨒∯102033∘(⫡⇟⇯⪩⨒∯122311))=⪩⨒∯230012","reverse_text":"⪩⨒∯230012=⇖⫷⫕(∓⪦⪩⨒∯111133↞⋁⪩⨒∯102033∘(⫡⇟⇯⪩⨒∯122311))","cot":[{"info":"⪩⨒∯111133↞⋁⪩⨒∯102033=NaN","layer":3},{"info":"⫡⇟⇯⪩⨒∯122311=⪩⨒∯1003032","layer":3},{"info":"NaN∘⪩⨒∯1003032=NaN","layer":2},{"info":"∓⪦NaN=NaN","layer":1},{"info":"⇖⫷⫕NaN=⪩⨒∯230012","layer":0}]}
{"id":518,"expression_no_base_symbol":"(≉($2081$%$3649$))⇻⋧≁($4821$⪔⊥$2987$∠↢(⇾⩊⇾$1558$))≎⊠⪸(∤↝($5087$⋕⪉⪜$3266$∠↢$6114$⨰$7255$))","expression":"(≉(⪩⨒∯200201%⪩⨒∯321001))⇻⋧≁(⪩⨒∯1023111⪔⊥⪩⨒∯232223∠↢(⇾⩊⇾⪩⨒∯120112))≎⊠⪸(∤↝(⪩⨒∯1033133⋕⪉⪜⪩⨒∯303002∠↢⪩⨒∯1133202⨰⪩⨒∯1301113))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3006,"operation_count":11,"complexity_ratio":273.27272727272725,"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":2081,"base":4},"right_expr":{"type":"numeric_atoms","value":3649,"base":4}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4821,"base":4},"right_expr":{"type":"numeric_atoms","value":2987,"base":4}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":1558,"base":4}}}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":5087,"base":4},"right_expr":{"type":"numeric_atoms","value":3266,"base":4}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6114,"base":4},"right_expr":{"type":"numeric_atoms","value":7255,"base":4}}}}},"used_operators":["bJkvcejdHO","jCPkEVoL5K","e1ybzncUwg","k8jYdgA6NY","KbjG8mgYpV","HJ9erzHUuu","bx9Z9DAK5y","3UMq87Qwqg","z6LnFrNh4i","eewbuw0ToL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯130100331","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2081","layer":4},{"info":"number node, value=3649","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=3649, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2081","layer":3},{"info":"compute unary expreesion, input=2081, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2612","layer":2},{"info":"number node, value=4821","layer":4},{"info":"number node, value=2987","layer":4},{"info":"compute binary expreesion, left_input=4821, right_input=2987, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=13111","layer":3},{"info":"number node, value=1558","layer":4},{"info":"compute unary expreesion, input=1558, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-20508","layer":3},{"info":"compute binary expreesion, left_input=13111, right_input=-20508, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=235750","layer":2},{"info":"compute binary expreesion, left_input=2612, right_input=235750, 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=5087","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=5087, right_input=3266, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=6114","layer":4},{"info":"number node, value=7255","layer":4},{"info":"compute binary expreesion, left_input=6114, right_input=7255, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1131","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=-1131, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=5708","layer":2},{"info":"compute unary expreesion, input=5708, 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=5708","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=5708, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=115773","layer":0}],"base":4,"result_base":4,"text":"(≉(⪩⨒∯200201%⪩⨒∯321001))⇻⋧≁(⪩⨒∯1023111⪔⊥⪩⨒∯232223∠↢(⇾⩊⇾⪩⨒∯120112))≎⊠⪸(∤↝(⪩⨒∯1033133⋕⪉⪜⪩⨒∯303002∠↢⪩⨒∯1133202⨰⪩⨒∯1301113))=⪩⨒∯130100331","reverse_text":"⪩⨒∯130100331=(≉(⪩⨒∯200201%⪩⨒∯321001))⇻⋧≁(⪩⨒∯1023111⪔⊥⪩⨒∯232223∠↢(⇾⩊⇾⪩⨒∯120112))≎⊠⪸(∤↝(⪩⨒∯1033133⋕⪉⪜⪩⨒∯303002∠↢⪩⨒∯1133202⨰⪩⨒∯1301113))","cot":[{"info":"⪩⨒∯200201%⪩⨒∯321001=⪩⨒∯200201","layer":3},{"info":"≉⪩⨒∯200201=⪩⨒∯220310","layer":2},{"info":"⪩⨒∯1023111⪔⊥⪩⨒∯232223=⪩⨒∯3030313","layer":3},{"info":"⇾⩊⇾⪩⨒∯120112=⪩⨒∯-11000130","layer":3},{"info":"⪩⨒∯3030313∠↢⪩⨒∯-11000130=⪩⨒∯321203212","layer":2},{"info":"⪩⨒∯220310⇻⋧≁⪩⨒∯321203212=⪩⨒∯-12333","layer":1},{"info":"⪩⨒∯1033133⋕⪉⪜⪩⨒∯303002=⪩⨒∯223302","layer":3},{"info":"⪩⨒∯1133202⨰⪩⨒∯1301113=⪩⨒∯-101223","layer":3},{"info":"⪩⨒∯223302∠↢⪩⨒∯-101223=⪩⨒∯1121030","layer":2},{"info":"∤↝⪩⨒∯1121030=⪩⨒∯1121030","layer":1},{"info":"⪩⨒∯-12333≎⊠⪸⪩⨒∯1121030=⪩⨒∯130100331","layer":0}]}
{"id":519,"expression_no_base_symbol":"(+⊝⨔($2443$≭$3230$))⋕⪉⪜((↡$2511$)⪨⊡$7467$↤⩊$1234$)⇍⊗(⫶⊄≣(↡(+⊝⨔$4049$)))","expression":"(+⊝⨔(⪩⨒∯212023≭⪩⨒∯302132))⋕⪉⪜((↡⪩⨒∯213033)⪨⊡⪩⨒∯1310223↤⩊⪩⨒∯103102)⇍⊗(⫶⊄≣(↡(+⊝⨔⪩⨒∯333101)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14075,"operation_count":10,"complexity_ratio":1407.5,"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":2443,"base":4},"right_expr":{"type":"numeric_atoms","value":3230,"base":4}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":2511,"base":4}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":7467,"base":4},"right_expr":{"type":"numeric_atoms","value":1234,"base":4}}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4049,"base":4}}}}},"used_operators":["5uvYHDjeKN","z6LnFrNh4i","DhbWaqg5eL","rxpJgHHUmx","kuIXHzHcAH","MXaNJeIAZ3","13rbtpv6ld","wxb3vTeyAj"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2443","layer":4},{"info":"number node, value=3230","layer":4},{"info":"compute binary expreesion, left_input=2443, right_input=3230, 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 = 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=2511","layer":4},{"info":"compute unary expreesion, input=2511, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=22599","layer":3},{"info":"number node, value=7467","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=7467, right_input=1234, 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=22599, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"number node, value=4049","layer":4},{"info":"compute unary expreesion, input=4049, 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 = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=13698","layer":2},{"info":"compute unary expreesion, input=13698, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=204, right_input=inf, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(+⊝⨔(⪩⨒∯212023≭⪩⨒∯302132))⋕⪉⪜((↡⪩⨒∯213033)⪨⊡⪩⨒∯1310223↤⩊⪩⨒∯103102)⇍⊗(⫶⊄≣(↡(+⊝⨔⪩⨒∯333101)))=NaN","reverse_text":"NaN=(+⊝⨔(⪩⨒∯212023≭⪩⨒∯302132))⋕⪉⪜((↡⪩⨒∯213033)⪨⊡⪩⨒∯1310223↤⩊⪩⨒∯103102)⇍⊗(⫶⊄≣(↡(+⊝⨔⪩⨒∯333101)))","cot":[{"info":"⪩⨒∯212023≭⪩⨒∯302132=NaN","layer":3},{"info":"+⊝⨔NaN=⪩⨒∯113302","layer":2},{"info":"↡⪩⨒∯213033=⪩⨒∯11201013","layer":3},{"info":"⪩⨒∯1310223↤⩊⪩⨒∯103102=NaN","layer":3},{"info":"⪩⨒∯11201013⪨⊡NaN=NaN","layer":2},{"info":"⪩⨒∯113302⋕⪉⪜NaN=⪩⨒∯3030","layer":1},{"info":"+⊝⨔⪩⨒∯333101=⪩⨒∯113302","layer":3},{"info":"↡⪩⨒∯113302=⪩⨒∯3112002","layer":2},{"info":"⫶⊄≣⪩⨒∯3112002=Inf","layer":1},{"info":"⪩⨒∯3030⇍⊗Inf=NaN","layer":0}]}
{"id":520,"expression_no_base_symbol":"(∡(($2394$∖$1294$)≀⩗∶(≉$5096$)))↙(≑⋹(($5417$∖$2597$)⨽∌($5293$⨔⇊$3232$)))","expression":"(∡((⪩⨒∯211122∖⪩⨒∯110032)≀⩗∶(≉⪩⨒∯1033220)))↙(≑⋹((⪩⨒∯1110221∖⪩⨒∯220211)⨽∌(⪩⨒∯1102231⨔⇊⪩⨒∯302200)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1057,"operation_count":9,"complexity_ratio":117.44444444444444,"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":2394,"base":4},"right_expr":{"type":"numeric_atoms","value":1294,"base":4}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5096,"base":4}}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":5417,"base":4},"right_expr":{"type":"numeric_atoms","value":2597,"base":4}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":5293,"base":4},"right_expr":{"type":"numeric_atoms","value":3232,"base":4}}}}},"used_operators":["yyfyN0ffXY","pRsWfj4Fpp","8INZBEW696","tXD093vOjl","e1ybzncUwg","6B9nyZLogK","9samAPKr6k","JclMnS0uGI"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","t8gj7n24qd","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2394","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=1294, 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=5096","layer":4},{"info":"compute unary expreesion, input=5096, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5627","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5627, 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 = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":1},{"info":"number node, value=5417","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=5417, right_input=2597, 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=5293","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=5293, right_input=3232, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3232","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3232, 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 = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-694","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-694, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(∡((⪩⨒∯211122∖⪩⨒∯110032)≀⩗∶(≉⪩⨒∯1033220)))↙(≑⋹((⪩⨒∯1110221∖⪩⨒∯220211)⨽∌(⪩⨒∯1102231⨔⇊⪩⨒∯302200)))=NaN","reverse_text":"NaN=(∡((⪩⨒∯211122∖⪩⨒∯110032)≀⩗∶(≉⪩⨒∯1033220)))↙(≑⋹((⪩⨒∯1110221∖⪩⨒∯220211)⨽∌(⪩⨒∯1102231⨔⇊⪩⨒∯302200)))","cot":[{"info":"⪩⨒∯211122∖⪩⨒∯110032=⪩⨒∯0","layer":3},{"info":"≉⪩⨒∯1033220=⪩⨒∯1113323","layer":3},{"info":"⪩⨒∯0≀⩗∶⪩⨒∯1113323=NaN","layer":2},{"info":"∡NaN=NaN","layer":1},{"info":"⪩⨒∯1110221∖⪩⨒∯220211=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1102231⨔⇊⪩⨒∯302200=⪩⨒∯302200","layer":3},{"info":"⪩⨒∯0⨽∌⪩⨒∯302200=⪩⨒∯0","layer":2},{"info":"≑⋹⪩⨒∯0=⪩⨒∯-22312","layer":1},{"info":"NaN↙⪩⨒∯-22312=NaN","layer":0}]}
{"id":521,"expression_no_base_symbol":"($1043$⊉↱≁$5793$∷$2345$⩺⪪$1167$∽(↓⇌$1018$)⪉⨛($1201$⪠⩆⊳))⇩","expression":"(⪩⨒∯100103⊉↱≁⪩⨒∯1122201∷⪩⨒∯210221⩺⪪⪩⨒∯102033∽(↓⇌⪩⨒∯33322)⪉⨛(⪩⨒∯102301⪠⩆⊳))⇩","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":199,"operation_count":8,"complexity_ratio":24.875,"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":1043,"base":4},"right_expr":{"type":"numeric_atoms","value":5793,"base":4}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":2345,"base":4},"right_expr":{"type":"numeric_atoms","value":1167,"base":4}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1018,"base":4}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1201,"base":4}}}}},"used_operators":["vRio1gEz1j","y4ImoPnbV5","D3AQDKkPcf","w2P8NbNXyL","uvdQJvN4PV","EWw2JM7wp4","PxpmPgHHJV","JLbD19bQDL"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯-200122220","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"number node, value=5793","layer":4},{"info":"compute binary expreesion, left_input=1043, right_input=5793, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-25442","layer":3},{"info":"number node, value=2345","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=1167, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-19746","layer":3},{"info":"compute binary expreesion, left_input=-25442, right_input=-19746, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=24648","layer":2},{"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":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, 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=1018, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=3269","layer":2},{"info":"compute binary expreesion, left_input=24648, right_input=3269, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-132869","layer":1},{"info":"compute unary expreesion, input=-132869, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-132776","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯100103⊉↱≁⪩⨒∯1122201∷⪩⨒∯210221⩺⪪⪩⨒∯102033∽(↓⇌⪩⨒∯33322)⪉⨛(⪩⨒∯102301⪠⩆⊳))⇩=⪩⨒∯-200122220","reverse_text":"⪩⨒∯-200122220=(⪩⨒∯100103⊉↱≁⪩⨒∯1122201∷⪩⨒∯210221⩺⪪⪩⨒∯102033∽(↓⇌⪩⨒∯33322)⪉⨛(⪩⨒∯102301⪠⩆⊳))⇩","cot":[{"info":"⪩⨒∯100103⊉↱≁⪩⨒∯1122201=⪩⨒∯-12031202","layer":3},{"info":"⪩⨒∯210221⩺⪪⪩⨒∯102033=⪩⨒∯-10310202","layer":3},{"info":"⪩⨒∯-12031202∷⪩⨒∯-10310202=⪩⨒∯12001020","layer":2},{"info":"↓⇌⪩⨒∯33322=⪩⨒∯33322","layer":3},{"info":"⪩⨒∯102301⪠⩆⊳=⪩⨒∯0","layer":3},{"info":"⪩⨒∯33322⪉⨛⪩⨒∯0=⪩⨒∯303011","layer":2},{"info":"⪩⨒∯12001020∽⪩⨒∯303011=⪩⨒∯-200130011","layer":1},{"info":"⪩⨒∯-200130011⇩=⪩⨒∯-200122220","layer":0}]}
{"id":522,"expression_no_base_symbol":"((⩏⊷≩($1611$⇮⋭$4431$))⨲∙)⪹","expression":"((⩏⊷≩(⪩⨒∯121023⇮⋭⪩⨒∯1011033))⨲∙)⪹","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":530,"operation_count":4,"complexity_ratio":132.5,"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":1611,"base":4},"right_expr":{"type":"numeric_atoms","value":4431,"base":4}}}}},"used_operators":["B3sABdIn96","cRahaglYVE","uOZ1tnYMDE","vkpjKywKVM"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","23Mk6UjR3U","12rbrZMWeM","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW"],"result":"⪩⨒∯3310030232220","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1611","layer":4},{"info":"number node, value=4431","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=4431, 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 = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=2506","layer":2},{"info":"compute unary expreesion, input=2506, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=32005390","layer":1},{"info":"compute unary expreesion, input=32005390, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=64015272","layer":0}],"base":4,"result_base":4,"text":"((⩏⊷≩(⪩⨒∯121023⇮⋭⪩⨒∯1011033))⨲∙)⪹=⪩⨒∯3310030232220","reverse_text":"⪩⨒∯3310030232220=((⩏⊷≩(⪩⨒∯121023⇮⋭⪩⨒∯1011033))⨲∙)⪹","cot":[{"info":"⪩⨒∯121023⇮⋭⪩⨒∯1011033=⪩⨒∯-13121","layer":3},{"info":"⩏⊷≩⪩⨒∯-13121=⪩⨒∯213022","layer":2},{"info":"⪩⨒∯213022⨲∙=⪩⨒∯1322011310032","layer":1},{"info":"⪩⨒∯1322011310032⪹=⪩⨒∯3310030232220","layer":0}]}
{"id":523,"expression_no_base_symbol":"(⫓⪴(⇋↷($3666$⋝⋈⪟$1103$)))⫞⩸⩒((≇⪴$2412$)⨔≚≋($3037$↬⩅∪)∝($3310$∘$2075$)⩼⇪↪(⋼∭⪍$1495$))","expression":"(⫓⪴(⇋↷(⪩⨒∯321102⋝⋈⪟⪩⨒∯101033)))⫞⩸⩒((≇⪴⪩⨒∯211230)⨔≚≋(⪩⨒∯233131↬⩅∪)∝(⪩⨒∯303232∘⪩⨒∯200123)⩼⇪↪(⋼∭⪍⪩⨒∯113113))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":29437,"operation_count":11,"complexity_ratio":2676.090909090909,"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":3666,"base":4},"right_expr":{"type":"numeric_atoms","value":1103,"base":4}}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":2412,"base":4}},"right_expr":{"type":"unary","operator":"↬⩅∪","unary_expr":{"type":"numeric_atoms","value":3037,"base":4}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3310,"base":4},"right_expr":{"type":"numeric_atoms","value":2075,"base":4}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":1495,"base":4}}}}},"used_operators":["XGcMNugi78","eLxqMNBOBk","SWo3A1KBJH","2DDjHMKMc0","cTDWOvIxvz","Z57zeUYC9z","zoVPnxeHJ3","VJ330n2nnx","ocnLzx9CaJ","Z5m6OM72h2","DbCuESL50I"],"dependent_operators":["VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9HNa5Wba9A","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","D4vGDi5EA2","23Mk6UjR3U","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eH2TOUuTDT","rysDP5nf3Z","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG"],"result":"⪩⨒∯220021311","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3666","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=3666, right_input=1103, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3666","layer":3},{"info":"compute unary expreesion, input=3666, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=29328","layer":2},{"info":"compute unary expreesion, input=29328, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=860131584","layer":1},{"info":"number node, value=2412","layer":4},{"info":"compute unary expreesion, input=2412, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5896","layer":3},{"info":"number node, value=3037","layer":4},{"info":"compute unary expreesion, input=3037, op_id = VJ330n2nnx, unary_op_definition = 'a↬⩅∪ = { (a≦≮≮) , if (↽≂a)!=185 or a>=376 or a<=585 ; (a⋷a) , else }', output=-9111","layer":3},{"info":"compute binary expreesion, left_input=-5896, right_input=-9111, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=164464","layer":2},{"info":"number node, value=3310","layer":4},{"info":"number node, value=2075","layer":4},{"info":"compute binary expreesion, left_input=3310, right_input=2075, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=6620","layer":3},{"info":"number node, value=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-4240","layer":3},{"info":"compute binary expreesion, left_input=6620, right_input=-4240, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=42137","layer":2},{"info":"compute binary expreesion, left_input=164464, right_input=42137, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=164469","layer":1},{"info":"compute binary expreesion, left_input=860131584, right_input=164469, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=164469","layer":0}],"base":4,"result_base":4,"text":"(⫓⪴(⇋↷(⪩⨒∯321102⋝⋈⪟⪩⨒∯101033)))⫞⩸⩒((≇⪴⪩⨒∯211230)⨔≚≋(⪩⨒∯233131↬⩅∪)∝(⪩⨒∯303232∘⪩⨒∯200123)⩼⇪↪(⋼∭⪍⪩⨒∯113113))=⪩⨒∯220021311","reverse_text":"⪩⨒∯220021311=(⫓⪴(⇋↷(⪩⨒∯321102⋝⋈⪟⪩⨒∯101033)))⫞⩸⩒((≇⪴⪩⨒∯211230)⨔≚≋(⪩⨒∯233131↬⩅∪)∝(⪩⨒∯303232∘⪩⨒∯200123)⩼⇪↪(⋼∭⪍⪩⨒∯113113))","cot":[{"info":"⪩⨒∯321102⋝⋈⪟⪩⨒∯101033=⪩⨒∯321102","layer":3},{"info":"⇋↷⪩⨒∯321102=⪩⨒∯13022100","layer":2},{"info":"⫓⪴⪩⨒∯13022100=⪩⨒∯303101021010000","layer":1},{"info":"≇⪴⪩⨒∯211230=⪩⨒∯-1130020","layer":3},{"info":"⪩⨒∯233131↬⩅∪=⪩⨒∯-2032113","layer":3},{"info":"⪩⨒∯-1130020⨔≚≋⪩⨒∯-2032113=⪩⨒∯220021300","layer":2},{"info":"⪩⨒∯303232∘⪩⨒∯200123=⪩⨒∯1213130","layer":3},{"info":"⋼∭⪍⪩⨒∯113113=⪩⨒∯-1002100","layer":3},{"info":"⪩⨒∯1213130⩼⇪↪⪩⨒∯-1002100=⪩⨒∯22102121","layer":2},{"info":"⪩⨒∯220021300∝⪩⨒∯22102121=⪩⨒∯220021311","layer":1},{"info":"⪩⨒∯303101021010000⫞⩸⩒⪩⨒∯220021311=⪩⨒∯220021311","layer":0}]}
{"id":524,"expression_no_base_symbol":"($1315$⪛⫼$6150$⫔⩽⩺(⪲⇎$1137$))⨻⩈⩔($1163$⊉↱≁$8017$)⋕⪉⪜(∓⪦$1619$)∷(↴⪽⋼($3777$⪨≂$1818$))⋛($7090$⨼⩣$4131$∠↢($1315$∲⫓$1130$))","expression":"(⪩⨒∯110203⪛⫼⪩⨒∯1200012⫔⩽⩺(⪲⇎⪩⨒∯101301))⨻⩈⩔(⪩⨒∯102023⊉↱≁⪩⨒∯1331101)⋕⪉⪜(∓⪦⪩⨒∯121103)∷(↴⪽⋼(⪩⨒∯323001⪨≂⪩⨒∯130122))⋛(⪩⨒∯1232302⨼⩣⪩⨒∯1000203∠↢(⪩⨒∯110203∲⫓⪩⨒∯101222))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":749,"operation_count":14,"complexity_ratio":53.5,"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":1315,"base":4},"right_expr":{"type":"numeric_atoms","value":6150,"base":4}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1137,"base":4}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1163,"base":4},"right_expr":{"type":"numeric_atoms","value":8017,"base":4}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1619,"base":4}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3777,"base":4},"right_expr":{"type":"numeric_atoms","value":1818,"base":4}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":7090,"base":4},"right_expr":{"type":"numeric_atoms","value":4131,"base":4}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1315,"base":4},"right_expr":{"type":"numeric_atoms","value":1130,"base":4}}}}},"used_operators":["D3AQDKkPcf","nEsXyWgiOK","i9eR4S00cU","hyuBjUqXlG","XPYlsWDdGa","z6LnFrNh4i","w2P8NbNXyL","D309nIvmXG","YbUVn0Rbpy","5TUYCnJO6w","sdazOOVcIp","KbjG8mgYpV","JxwMv5le6e","i8ToyICDmI"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Tw270M8GLb","fu6greOZ01","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1315","layer":4},{"info":"number node, value=6150","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=6150, 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=1137","layer":4},{"info":"compute unary expreesion, input=1137, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2274","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=2274, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1163","layer":4},{"info":"number node, value=8017","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=8017, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-37586","layer":3},{"info":"number node, value=1619","layer":4},{"info":"compute unary expreesion, input=1619, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1211","layer":3},{"info":"compute binary expreesion, left_input=-37586, right_input=1211, 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 = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":1},{"info":"number node, value=3777","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=1818, 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=4020","layer":3},{"info":"compute unary expreesion, input=4020, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=4020","layer":2},{"info":"number node, value=7090","layer":4},{"info":"number node, value=4131","layer":4},{"info":"compute binary expreesion, left_input=7090, right_input=4131, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1315","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=1315, right_input=1130, 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 = 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=4020, 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=nan, 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":4,"result_base":4,"text":"(⪩⨒∯110203⪛⫼⪩⨒∯1200012⫔⩽⩺(⪲⇎⪩⨒∯101301))⨻⩈⩔(⪩⨒∯102023⊉↱≁⪩⨒∯1331101)⋕⪉⪜(∓⪦⪩⨒∯121103)∷(↴⪽⋼(⪩⨒∯323001⪨≂⪩⨒∯130122))⋛(⪩⨒∯1232302⨼⩣⪩⨒∯1000203∠↢(⪩⨒∯110203∲⫓⪩⨒∯101222))=NaN","reverse_text":"NaN=(⪩⨒∯110203⪛⫼⪩⨒∯1200012⫔⩽⩺(⪲⇎⪩⨒∯101301))⨻⩈⩔(⪩⨒∯102023⊉↱≁⪩⨒∯1331101)⋕⪉⪜(∓⪦⪩⨒∯121103)∷(↴⪽⋼(⪩⨒∯323001⪨≂⪩⨒∯130122))⋛(⪩⨒∯1232302⨼⩣⪩⨒∯1000203∠↢(⪩⨒∯110203∲⫓⪩⨒∯101222))","cot":[{"info":"⪩⨒∯110203⪛⫼⪩⨒∯1200012=⪩⨒∯33020","layer":3},{"info":"⪲⇎⪩⨒∯101301=⪩⨒∯203202","layer":3},{"info":"⪩⨒∯33020⫔⩽⩺⪩⨒∯203202=NaN","layer":2},{"info":"⪩⨒∯102023⊉↱≁⪩⨒∯1331101=⪩⨒∯-21023102","layer":3},{"info":"∓⪦⪩⨒∯121103=⪩⨒∯102323","layer":3},{"info":"⪩⨒∯-21023102⋕⪉⪜⪩⨒∯102323=⪩⨒∯3030","layer":2},{"info":"NaN⨻⩈⩔⪩⨒∯3030=NaN","layer":1},{"info":"⪩⨒∯323001⪨≂⪩⨒∯130122=⪩⨒∯332310","layer":3},{"info":"↴⪽⋼⪩⨒∯332310=⪩⨒∯332310","layer":2},{"info":"⪩⨒∯1232302⨼⩣⪩⨒∯1000203=NaN","layer":3},{"info":"⪩⨒∯110203∲⫓⪩⨒∯101222=⪩⨒∯0","layer":3},{"info":"NaN∠↢⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯332310⋛NaN=NaN","layer":1},{"info":"NaN∷NaN=NaN","layer":0}]}
{"id":525,"expression_no_base_symbol":"($6420$⇄$4931$⨔≚≋$1992$⊮⊟↴$1326$)⪪($2214$⨽$2656$)≌($1079$∙∹∝$1394$)⪇≇⋚($3454$⊕∕$1002$⫲≸⪮($1829$∙∹∝$2770$))⪚($6674$∀⇚≩$1079$)⫘($1359$⨹)","expression":"(⪩⨒∯1210110⇄⪩⨒∯1031003⨔≚≋⪩⨒∯133020⊮⊟↴⪩⨒∯110232)⪪(⪩⨒∯202212⨽⪩⨒∯221200)≌(⪩⨒∯100313∙∹∝⪩⨒∯111302)⪇≇⋚(⪩⨒∯311332⊕∕⪩⨒∯33222⫲≸⪮(⪩⨒∯130211∙∹∝⪩⨒∯223102))⪚(⪩⨒∯1220102∀⇚≩⪩⨒∯100313)⫘(⪩⨒∯111033⨹)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":56295,"operation_count":15,"complexity_ratio":3753.0,"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":6420,"base":4},"right_expr":{"type":"numeric_atoms","value":4931,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1992,"base":4},"right_expr":{"type":"numeric_atoms","value":1326,"base":4}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2214,"base":4},"right_expr":{"type":"numeric_atoms","value":2656,"base":4}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1079,"base":4},"right_expr":{"type":"numeric_atoms","value":1394,"base":4}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3454,"base":4},"right_expr":{"type":"numeric_atoms","value":1002,"base":4}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1829,"base":4},"right_expr":{"type":"numeric_atoms","value":2770,"base":4}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6674,"base":4},"right_expr":{"type":"numeric_atoms","value":1079,"base":4}},"right_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":1359,"base":4}}}}},"used_operators":["3sJ7IOPOlU","xD69zh8xqp","Z57zeUYC9z","3EYGwJThht","QDVgd2eftb","lyWz822IDG","8HhzD0ZcuI","HmxsFra2vL","HrjLwUk87U","P3lXMJvFrc","9cloC0Ngie","48vC8HMD2b","LRNGc0VcxI","UnCoSGIALn"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","FU0Cs4j7VP","JclMnS0uGI","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","X99M06cbEe","mp7IySMOzn"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6420","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=6420, right_input=4931, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1992","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=1326, 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=0, right_input=0, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=-2760","layer":2},{"info":"number node, value=2214","layer":4},{"info":"number node, value=2656","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=2656, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14712042","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=1394, 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=-14712042, 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":"compute binary expreesion, left_input=-2760, right_input=9080, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"number node, value=3454","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=1002, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3454","layer":3},{"info":"number node, value=1829","layer":4},{"info":"number node, value=2770","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=2770, 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=3454, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3454","layer":2},{"info":"number node, value=6674","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=6674, right_input=1079, 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=1359","layer":4},{"info":"compute unary expreesion, input=1359, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=2718","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2718, 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 binary expreesion, left_input=3454, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6206, right_input=nan, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1210110⇄⪩⨒∯1031003⨔≚≋⪩⨒∯133020⊮⊟↴⪩⨒∯110232)⪪(⪩⨒∯202212⨽⪩⨒∯221200)≌(⪩⨒∯100313∙∹∝⪩⨒∯111302)⪇≇⋚(⪩⨒∯311332⊕∕⪩⨒∯33222⫲≸⪮(⪩⨒∯130211∙∹∝⪩⨒∯223102))⪚(⪩⨒∯1220102∀⇚≩⪩⨒∯100313)⫘(⪩⨒∯111033⨹)=NaN","reverse_text":"NaN=(⪩⨒∯1210110⇄⪩⨒∯1031003⨔≚≋⪩⨒∯133020⊮⊟↴⪩⨒∯110232)⪪(⪩⨒∯202212⨽⪩⨒∯221200)≌(⪩⨒∯100313∙∹∝⪩⨒∯111302)⪇≇⋚(⪩⨒∯311332⊕∕⪩⨒∯33222⫲≸⪮(⪩⨒∯130211∙∹∝⪩⨒∯223102))⪚(⪩⨒∯1220102∀⇚≩⪩⨒∯100313)⫘(⪩⨒∯111033⨹)","cot":[{"info":"⪩⨒∯1210110⇄⪩⨒∯1031003=⪩⨒∯0","layer":3},{"info":"⪩⨒∯133020⊮⊟↴⪩⨒∯110232=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⨔≚≋⪩⨒∯0=⪩⨒∯-223020","layer":2},{"info":"⪩⨒∯202212⨽⪩⨒∯221200=⪩⨒∯-320013303222","layer":3},{"info":"⪩⨒∯100313∙∹∝⪩⨒∯111302=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-320013303222≌⪩⨒∯0=⪩⨒∯2031320","layer":2},{"info":"⪩⨒∯-223020⪪⪩⨒∯2031320=⪩⨒∯-1200332","layer":1},{"info":"⪩⨒∯311332⊕∕⪩⨒∯33222=⪩⨒∯311332","layer":3},{"info":"⪩⨒∯130211∙∹∝⪩⨒∯223102=⪩⨒∯0","layer":3},{"info":"⪩⨒∯311332⫲≸⪮⪩⨒∯0=⪩⨒∯311332","layer":2},{"info":"⪩⨒∯1220102∀⇚≩⪩⨒∯100313=NaN","layer":3},{"info":"⪩⨒∯111033⨹=⪩⨒∯222132","layer":3},{"info":"NaN⫘⪩⨒∯222132=NaN","layer":2},{"info":"⪩⨒∯311332⪚NaN=NaN","layer":1},{"info":"⪩⨒∯-1200332⪇≇⋚NaN=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"($1179$⊱⇼⊻$6159$⨚$4111$→⨶⪴$3247$)∌($1438$≠≀$1786$⩚⊴⇥($6272$⨎$5913$))⋻⩜⩜(∡$3607$⫣⪄⊒$3609$≥⨤⩑($1008$∪⫐$1251$))","expression":"(⪩⨒∯102123⊱⇼⊻⪩⨒∯1200033⨚⪩⨒∯1000033→⨶⪴⪩⨒∯302233)∌(⪩⨒∯112132≠≀⪩⨒∯123322⩚⊴⇥(⪩⨒∯1202000⨎⪩⨒∯1130121))⋻⩜⩜(∡⪩⨒∯320113⫣⪄⊒⪩⨒∯320121≥⨤⩑(⪩⨒∯33300∪⫐⪩⨒∯103203))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17378,"operation_count":12,"complexity_ratio":1448.1666666666667,"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":1179,"base":4},"right_expr":{"type":"numeric_atoms","value":6159,"base":4}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":4111,"base":4},"right_expr":{"type":"numeric_atoms","value":3247,"base":4}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1438,"base":4},"right_expr":{"type":"numeric_atoms","value":1786,"base":4}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6272,"base":4},"right_expr":{"type":"numeric_atoms","value":5913,"base":4}}}},"right_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":3607,"base":4},"right_expr":{"type":"numeric_atoms","value":3609,"base":4}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1008,"base":4},"right_expr":{"type":"numeric_atoms","value":1251,"base":4}}}}},"used_operators":["oDCm7WA9JY","8cLx32lpNA","nREPSIbpBE","FyVja0WsTP","bF6eod5Gvf","NTOWxs364D","IwW236VD4Y","rJVOvQCfKK","pRsWfj4Fpp","gJLn6v0xnP","RabNbG55vr","7YooWSwCyH"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rJVOvQCfKK","2DDjHMKMc0"],"result":"⪩⨒∯1230100","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1179","layer":4},{"info":"number node, value=6159","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=6159, 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=4111","layer":4},{"info":"number node, value=3247","layer":4},{"info":"compute binary expreesion, left_input=4111, right_input=3247, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-9741","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-9741, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=40766","layer":2},{"info":"number node, value=1438","layer":4},{"info":"number node, value=1786","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=1786, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2570","layer":3},{"info":"number node, value=6272","layer":4},{"info":"number node, value=5913","layer":4},{"info":"compute binary expreesion, left_input=6272, right_input=5913, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5913","layer":3},{"info":"compute binary expreesion, left_input=-2570, right_input=5913, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3464","layer":2},{"info":"compute binary expreesion, left_input=40766, right_input=-3464, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=3464","layer":1},{"info":"number node, value=3607","layer":4},{"info":"number node, value=3609","layer":4},{"info":"compute binary expreesion, left_input=3607, right_input=3609, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14952","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=1251","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1251, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1008","layer":3},{"info":"compute binary expreesion, left_input=-14952, right_input=1008, 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 = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-1234","layer":1},{"info":"compute binary expreesion, left_input=3464, right_input=-1234, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=6928","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯102123⊱⇼⊻⪩⨒∯1200033⨚⪩⨒∯1000033→⨶⪴⪩⨒∯302233)∌(⪩⨒∯112132≠≀⪩⨒∯123322⩚⊴⇥(⪩⨒∯1202000⨎⪩⨒∯1130121))⋻⩜⩜(∡⪩⨒∯320113⫣⪄⊒⪩⨒∯320121≥⨤⩑(⪩⨒∯33300∪⫐⪩⨒∯103203))=⪩⨒∯1230100","reverse_text":"⪩⨒∯1230100=(⪩⨒∯102123⊱⇼⊻⪩⨒∯1200033⨚⪩⨒∯1000033→⨶⪴⪩⨒∯302233)∌(⪩⨒∯112132≠≀⪩⨒∯123322⩚⊴⇥(⪩⨒∯1202000⨎⪩⨒∯1130121))⋻⩜⩜(∡⪩⨒∯320113⫣⪄⊒⪩⨒∯320121≥⨤⩑(⪩⨒∯33300∪⫐⪩⨒∯103203))","cot":[{"info":"⪩⨒∯102123⊱⇼⊻⪩⨒∯1200033=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯1000033→⨶⪴⪩⨒∯302233=⪩⨒∯-2120031","layer":3},{"info":"⪩⨒∯12302⨚⪩⨒∯-2120031=⪩⨒∯21330332","layer":2},{"info":"⪩⨒∯112132≠≀⪩⨒∯123322=⪩⨒∯-220022","layer":3},{"info":"⪩⨒∯1202000⨎⪩⨒∯1130121=⪩⨒∯1130121","layer":3},{"info":"⪩⨒∯-220022⩚⊴⇥⪩⨒∯1130121=⪩⨒∯-312020","layer":2},{"info":"⪩⨒∯21330332∌⪩⨒∯-312020=⪩⨒∯312020","layer":1},{"info":"⪩⨒∯320113⫣⪄⊒⪩⨒∯320121=⪩⨒∯-3221220","layer":3},{"info":"⪩⨒∯33300∪⫐⪩⨒∯103203=⪩⨒∯33300","layer":3},{"info":"⪩⨒∯-3221220≥⨤⩑⪩⨒∯33300=⪩⨒∯103102","layer":2},{"info":"∡⪩⨒∯103102=⪩⨒∯-103102","layer":1},{"info":"⪩⨒∯312020⋻⩜⩜⪩⨒∯-103102=⪩⨒∯1230100","layer":0}]}
{"id":527,"expression_no_base_symbol":"(($1345$⋥⋵⩄$1007$)⇤($4367$⫘$6475$)↸($1196$⨵⪆$3631$)≥⨤⩑$2671$↼⊘⨖$2422$)↤⩊(((↘$7772$)⇣⩺⋵($1458$≬⋮$5924$))≝⊿(⩏⊷≩$1007$⊢$2822$))","expression":"((⪩⨒∯111001⋥⋵⩄⪩⨒∯33233)⇤(⪩⨒∯1010033⫘⪩⨒∯1211023)↸(⪩⨒∯102230⨵⪆⪩⨒∯320233)≥⨤⩑⪩⨒∯221233↼⊘⨖⪩⨒∯211312)↤⩊(((↘⪩⨒∯1321130)⇣⩺⋵(⪩⨒∯112302≬⋮⪩⨒∯1130210))≝⊿(⩏⊷≩⪩⨒∯33233⊢⪩⨒∯230012))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":6181,"operation_count":14,"complexity_ratio":441.5,"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":1345,"base":4},"right_expr":{"type":"numeric_atoms","value":1007,"base":4}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4367,"base":4},"right_expr":{"type":"numeric_atoms","value":6475,"base":4}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1196,"base":4},"right_expr":{"type":"numeric_atoms","value":3631,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2671,"base":4},"right_expr":{"type":"numeric_atoms","value":2422,"base":4}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":7772,"base":4}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":1458,"base":4},"right_expr":{"type":"numeric_atoms","value":5924,"base":4}}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1007,"base":4},"right_expr":{"type":"numeric_atoms","value":2822,"base":4}}}}},"used_operators":["13rbtpv6ld","1eCjFl0mb9","YSKBFp38Pu","7t3wd0Fuz7","48vC8HMD2b","gJLn6v0xnP","2DQ55sFlQl","bPywburJMS","OKKcZfAt5B","F4yD0voBRQ","LdNpr8hQHL","kbkesczE7y","uOZ1tnYMDE","5twsqlHp2o"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","12rbrZMWeM","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","uFcxV4UQCh","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","23Mk6UjR3U","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1345","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=1007, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=4367","layer":4},{"info":"number node, value=6475","layer":4},{"info":"compute binary expreesion, left_input=4367, right_input=6475, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5139997","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=5139997, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-25697702","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=3631, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2671","layer":4},{"info":"number node, value=2422","layer":4},{"info":"compute binary expreesion, left_input=2671, right_input=2422, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4622","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4622, 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=-25697702, right_input=1234, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-25697702","layer":1},{"info":"number node, value=7772","layer":4},{"info":"compute unary expreesion, input=7772, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=324","layer":3},{"info":"number node, value=1458","layer":4},{"info":"number node, value=5924","layer":4},{"info":"compute binary expreesion, left_input=1458, right_input=5924, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=324, right_input=868, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-378","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=2822","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=2822, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2258","layer":3},{"info":"compute unary expreesion, input=-2258, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=9646","layer":2},{"info":"compute binary expreesion, left_input=-378, right_input=9646, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-19447","layer":1},{"info":"compute binary expreesion, left_input=-25697702, right_input=-19447, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯111001⋥⋵⩄⪩⨒∯33233)⇤(⪩⨒∯1010033⫘⪩⨒∯1211023)↸(⪩⨒∯102230⨵⪆⪩⨒∯320233)≥⨤⩑⪩⨒∯221233↼⊘⨖⪩⨒∯211312)↤⩊(((↘⪩⨒∯1321130)⇣⩺⋵(⪩⨒∯112302≬⋮⪩⨒∯1130210))≝⊿(⩏⊷≩⪩⨒∯33233⊢⪩⨒∯230012))=NaN","reverse_text":"NaN=((⪩⨒∯111001⋥⋵⩄⪩⨒∯33233)⇤(⪩⨒∯1010033⫘⪩⨒∯1211023)↸(⪩⨒∯102230⨵⪆⪩⨒∯320233)≥⨤⩑⪩⨒∯221233↼⊘⨖⪩⨒∯211312)↤⩊(((↘⪩⨒∯1321130)⇣⩺⋵(⪩⨒∯112302≬⋮⪩⨒∯1130210))≝⊿(⩏⊷≩⪩⨒∯33233⊢⪩⨒∯230012))","cot":[{"info":"⪩⨒∯111001⋥⋵⩄⪩⨒∯33233=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯1010033⫘⪩⨒∯1211023=⪩⨒∯103212320131","layer":3},{"info":"⪩⨒∯1301⇤⪩⨒∯103212320131=⪩⨒∯-1202001312212","layer":2},{"info":"⪩⨒∯102230⨵⪆⪩⨒∯320233=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯221233↼⊘⨖⪩⨒∯211312=⪩⨒∯1020032","layer":3},{"info":"⪩⨒∯2200≥⨤⩑⪩⨒∯1020032=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯-1202001312212↸⪩⨒∯103102=⪩⨒∯-1202001312212","layer":1},{"info":"↘⪩⨒∯1321130=⪩⨒∯11010","layer":3},{"info":"⪩⨒∯112302≬⋮⪩⨒∯1130210=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯11010⇣⩺⋵⪩⨒∯31210=⪩⨒∯-11322","layer":2},{"info":"⪩⨒∯33233⊢⪩⨒∯230012=⪩⨒∯-203102","layer":3},{"info":"⩏⊷≩⪩⨒∯-203102=⪩⨒∯2112232","layer":2},{"info":"⪩⨒∯-11322≝⊿⪩⨒∯2112232=⪩⨒∯-10233313","layer":1},{"info":"⪩⨒∯-1202001312212↤⩊⪩⨒∯-10233313=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"((($4776$⫣⪄⊒$2631$)⪷)⫔⩽⩺$2217$↳≱$7683$⪍↜⋙$2451$↓$3802$)⪎↠(($1964$⫚↹⊑$5218$)⫉⨲⊜(⇈$1791$)↸$2352$⇷$1151$⇴∐(⇜$4289$))","expression":"(((⪩⨒∯1022220⫣⪄⊒⪩⨒∯221013)⪷)⫔⩽⩺⪩⨒∯202221↳≱⪩⨒∯1320003⪍↜⋙⪩⨒∯212103↓⪩⨒∯323122)⪎↠((⪩⨒∯132230⫚↹⊑⪩⨒∯1101202)⫉⨲⊜(⇈⪩⨒∯123333)↸⪩⨒∯210300⇷⪩⨒∯101333⇴∐(⇜⪩⨒∯1003001))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":170142,"operation_count":14,"complexity_ratio":12153.0,"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":4776,"base":4},"right_expr":{"type":"numeric_atoms","value":2631,"base":4}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2217,"base":4},"right_expr":{"type":"numeric_atoms","value":7683,"base":4}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2451,"base":4},"right_expr":{"type":"numeric_atoms","value":3802,"base":4}}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1964,"base":4},"right_expr":{"type":"numeric_atoms","value":5218,"base":4}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1791,"base":4}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2352,"base":4},"right_expr":{"type":"numeric_atoms","value":1151,"base":4}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":4289,"base":4}}}}},"used_operators":["3tVxb0NHM4","i9eR4S00cU","Qctrpi3WzA","RabNbG55vr","L05ObWFQCd","JwTKLfZU96","Af076pWI7l","1eCjFl0mb9","WhqkvtTD3t","dfKe02y8D2","SLLxy00UIr","HnzytWxmAO","mp7IySMOzn","lFBm8KRb8F"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Tw270M8GLb","fu6greOZ01","Nsiff2A1zJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eewbuw0ToL","zVYPLywUTj","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4776","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=4776, right_input=2631, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-6746","layer":3},{"info":"compute unary expreesion, input=-6746, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"number node, value=2217","layer":4},{"info":"number node, value=7683","layer":4},{"info":"compute binary expreesion, left_input=2217, right_input=7683, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2451","layer":4},{"info":"number node, value=3802","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=3802, 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=0, right_input=-134, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=268","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=268, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1964","layer":4},{"info":"number node, value=5218","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=5218, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-447, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-557","layer":2},{"info":"number node, value=2352","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2352, right_input=1151, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2302","layer":3},{"info":"number node, value=4289","layer":4},{"info":"compute unary expreesion, input=4289, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-34720","layer":3},{"info":"compute binary expreesion, left_input=2302, right_input=-34720, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-557, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-557","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-557, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1022220⫣⪄⊒⪩⨒∯221013)⪷)⫔⩽⩺⪩⨒∯202221↳≱⪩⨒∯1320003⪍↜⋙⪩⨒∯212103↓⪩⨒∯323122)⪎↠((⪩⨒∯132230⫚↹⊑⪩⨒∯1101202)⫉⨲⊜(⇈⪩⨒∯123333)↸⪩⨒∯210300⇷⪩⨒∯101333⇴∐(⇜⪩⨒∯1003001))=NaN","reverse_text":"NaN=(((⪩⨒∯1022220⫣⪄⊒⪩⨒∯221013)⪷)⫔⩽⩺⪩⨒∯202221↳≱⪩⨒∯1320003⪍↜⋙⪩⨒∯212103↓⪩⨒∯323122)⪎↠((⪩⨒∯132230⫚↹⊑⪩⨒∯1101202)⫉⨲⊜(⇈⪩⨒∯123333)↸⪩⨒∯210300⇷⪩⨒∯101333⇴∐(⇜⪩⨒∯1003001))","cot":[{"info":"⪩⨒∯1022220⫣⪄⊒⪩⨒∯221013=⪩⨒∯-1221122","layer":3},{"info":"⪩⨒∯-1221122⪷=NaN","layer":2},{"info":"⪩⨒∯202221↳≱⪩⨒∯1320003=⪩⨒∯0","layer":3},{"info":"⪩⨒∯212103↓⪩⨒∯323122=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯0⪍↜⋙⪩⨒∯-2012=⪩⨒∯10030","layer":2},{"info":"NaN⫔⩽⩺⪩⨒∯10030=NaN","layer":1},{"info":"⪩⨒∯132230⫚↹⊑⪩⨒∯1101202=⪩⨒∯-12333","layer":3},{"info":"⇈⪩⨒∯123333=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯-12333⫉⨲⊜⪩⨒∯-12333=⪩⨒∯-20231","layer":2},{"info":"⪩⨒∯210300⇷⪩⨒∯101333=⪩⨒∯203332","layer":3},{"info":"⇜⪩⨒∯1003001=⪩⨒∯-20132200","layer":3},{"info":"⪩⨒∯203332⇴∐⪩⨒∯-20132200=NaN","layer":2},{"info":"⪩⨒∯-20231↸NaN=⪩⨒∯-20231","layer":1},{"info":"NaN⪎↠⪩⨒∯-20231=NaN","layer":0}]}
{"id":529,"expression_no_base_symbol":"⪡⇡≛(⫯(($1531$⩺⪪$1849$)≹⇙⪍($7963$⨚$4760$)))","expression":"⪡⇡≛(⫯((⪩⨒∯113323⩺⪪⪩⨒∯130321)≹⇙⪍(⪩⨒∯1330123⨚⪩⨒∯1022120)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":210,"operation_count":5,"complexity_ratio":42.0,"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":1531,"base":4},"right_expr":{"type":"numeric_atoms","value":1849,"base":4}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":7963,"base":4},"right_expr":{"type":"numeric_atoms","value":4760,"base":4}}}}},"used_operators":["qL4PrbW1Dq","H6BK1Evt7c","AHs5Up7iyr","uvdQJvN4PV","nREPSIbpBE"],"dependent_operators":["oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","dWAJyo7jo9","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1531","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=1849, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":3},{"info":"number node, value=7963","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=7963, right_input=4760, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-2180","layer":3},{"info":"compute binary expreesion, left_input=1914, right_input=-2180, 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 = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"⪡⇡≛(⫯((⪩⨒∯113323⩺⪪⪩⨒∯130321)≹⇙⪍(⪩⨒∯1330123⨚⪩⨒∯1022120)))=NaN","reverse_text":"NaN=⪡⇡≛(⫯((⪩⨒∯113323⩺⪪⪩⨒∯130321)≹⇙⪍(⪩⨒∯1330123⨚⪩⨒∯1022120)))","cot":[{"info":"⪩⨒∯113323⩺⪪⪩⨒∯130321=⪩⨒∯131322","layer":3},{"info":"⪩⨒∯1330123⨚⪩⨒∯1022120=⪩⨒∯-202010","layer":3},{"info":"⪩⨒∯131322≹⇙⪍⪩⨒∯-202010=NaN","layer":2},{"info":"⫯NaN=NaN","layer":1},{"info":"⪡⇡≛NaN=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"(⪝⪂⫅($1244$⨰$1860$⫡⨏$1025$⩹$4773$))⊴(⨞⊢(↔$1591$))≨(≦∁($2168$⇋≉))","expression":"(⪝⪂⫅(⪩⨒∯103130⨰⪩⨒∯131010⫡⨏⪩⨒∯100001⩹⪩⨒∯1022211))⊴(⨞⊢(↔⪩⨒∯120313))≨(≦∁(⪩⨒∯201320⇋≉))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12126,"operation_count":10,"complexity_ratio":1212.6,"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":1244,"base":4},"right_expr":{"type":"numeric_atoms","value":1860,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1025,"base":4},"right_expr":{"type":"numeric_atoms","value":4773,"base":4}}}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1591,"base":4}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2168,"base":4}}}}},"used_operators":["Nsiff2A1zJ","XTarYq4gQB","QMFrweE19q","eewbuw0ToL","2Wsdkap16l","0KMCeP1Jsh","xUOZtlo3hN","ruOEQAzv1W","9ICcGScMcE","XIabStNQrY"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1860, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-606","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=4773","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=4773, 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=4771","layer":3},{"info":"compute binary expreesion, left_input=-606, right_input=4771, 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=7295","layer":2},{"info":"compute unary expreesion, input=7295, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1072365","layer":1},{"info":"number node, value=1591","layer":4},{"info":"compute unary expreesion, input=1591, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1318","layer":3},{"info":"compute unary expreesion, input=-1318, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1144","layer":2},{"info":"number node, value=2168","layer":4},{"info":"compute unary expreesion, input=2168, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4238","layer":3},{"info":"compute unary expreesion, input=4238, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4238","layer":2},{"info":"compute binary expreesion, left_input=1144, right_input=4238, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-8964","layer":1},{"info":"compute binary expreesion, left_input=-1072365, right_input=-8964, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪝⪂⫅(⪩⨒∯103130⨰⪩⨒∯131010⫡⨏⪩⨒∯100001⩹⪩⨒∯1022211))⊴(⨞⊢(↔⪩⨒∯120313))≨(≦∁(⪩⨒∯201320⇋≉))=NaN","reverse_text":"NaN=(⪝⪂⫅(⪩⨒∯103130⨰⪩⨒∯131010⫡⨏⪩⨒∯100001⩹⪩⨒∯1022211))⊴(⨞⊢(↔⪩⨒∯120313))≨(≦∁(⪩⨒∯201320⇋≉))","cot":[{"info":"⪩⨒∯103130⨰⪩⨒∯131010=⪩⨒∯-21132","layer":3},{"info":"⪩⨒∯100001⩹⪩⨒∯1022211=⪩⨒∯1022203","layer":3},{"info":"⪩⨒∯-21132⫡⨏⪩⨒∯1022203=⪩⨒∯1301333","layer":2},{"info":"⪝⪂⫅⪩⨒∯1301333=⪩⨒∯-10011303231","layer":1},{"info":"↔⪩⨒∯120313=⪩⨒∯-110212","layer":3},{"info":"⨞⊢⪩⨒∯-110212=⪩⨒∯101320","layer":2},{"info":"⪩⨒∯201320⇋≉=⪩⨒∯1002032","layer":3},{"info":"≦∁⪩⨒∯1002032=⪩⨒∯1002032","layer":2},{"info":"⪩⨒∯101320≨⪩⨒∯1002032=⪩⨒∯-2030010","layer":1},{"info":"⪩⨒∯-10011303231⊴⪩⨒∯-2030010=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"(($5853$≧⫂∧$1656$)⪬($1094$⫿)⪮%⊝($1960$⨓$3284$⋳⪒(≦∁$3013$)))⫉⨲⊜($1910$↳≱$5066$⇷($3325$⨶)↡⊰⫅((⇜⊴$1966$)⫡⨏$7070$⩼⇪↪$2259$))","expression":"((⪩⨒∯1123131≧⫂∧⪩⨒∯121320)⪬(⪩⨒∯101012⫿)⪮%⊝(⪩⨒∯132220⨓⪩⨒∯303110⋳⪒(≦∁⪩⨒∯233011)))⫉⨲⊜(⪩⨒∯131312↳≱⪩⨒∯1033022⇷(⪩⨒∯303331⨶)↡⊰⫅((⇜⊴⪩⨒∯132232)⫡⨏⪩⨒∯1232132⩼⇪↪⪩⨒∯203103))","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":4132,"operation_count":15,"complexity_ratio":275.46666666666664,"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":5853,"base":4},"right_expr":{"type":"numeric_atoms","value":1656,"base":4}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":1094,"base":4}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1960,"base":4},"right_expr":{"type":"numeric_atoms","value":3284,"base":4}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3013,"base":4}}}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1910,"base":4},"right_expr":{"type":"numeric_atoms","value":5066,"base":4}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":3325,"base":4}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1966,"base":4}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":7070,"base":4},"right_expr":{"type":"numeric_atoms","value":2259,"base":4}}}}},"used_operators":["WhqkvtTD3t","IWmyXbctLI","Ez1Nq5fNfI","Ph9nP6C5qx","9tKT6PmtkH","12rbrZMWeM","3ViojmjbAp","9ICcGScMcE","VCtxkLNOzz","mp7IySMOzn","JwTKLfZU96","rFxw8gIMmB","QMFrweE19q","XwDhCwWbUn","ocnLzx9CaJ"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","f6k1SAg4EE","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5853","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=5853, right_input=1656, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1183","layer":3},{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=1094","layer":3},{"info":"compute binary expreesion, left_input=1183, right_input=1094, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"number node, value=1960","layer":4},{"info":"number node, value=3284","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=3284, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3287","layer":3},{"info":"number node, value=3013","layer":4},{"info":"compute unary expreesion, input=3013, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3013","layer":3},{"info":"compute binary expreesion, left_input=-3287, right_input=3013, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-9874","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-9874, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2784","layer":1},{"info":"number node, value=1910","layer":4},{"info":"number node, value=5066","layer":4},{"info":"compute binary expreesion, left_input=1910, right_input=5066, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=3325","layer":4},{"info":"compute unary expreesion, input=3325, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=4904","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4904, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9808","layer":2},{"info":"number node, value=1966","layer":4},{"info":"compute unary expreesion, input=1966, 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=-450262","layer":3},{"info":"number node, value=7070","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=7070, right_input=2259, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-2456","layer":3},{"info":"compute binary expreesion, left_input=-450262, right_input=-2456, 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=-2255439","layer":2},{"info":"compute binary expreesion, left_input=9808, right_input=-2255439, 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":"compute binary expreesion, left_input=2784, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1123131≧⫂∧⪩⨒∯121320)⪬(⪩⨒∯101012⫿)⪮%⊝(⪩⨒∯132220⨓⪩⨒∯303110⋳⪒(≦∁⪩⨒∯233011)))⫉⨲⊜(⪩⨒∯131312↳≱⪩⨒∯1033022⇷(⪩⨒∯303331⨶)↡⊰⫅((⇜⊴⪩⨒∯132232)⫡⨏⪩⨒∯1232132⩼⇪↪⪩⨒∯203103))=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯1123131≧⫂∧⪩⨒∯121320)⪬(⪩⨒∯101012⫿)⪮%⊝(⪩⨒∯132220⨓⪩⨒∯303110⋳⪒(≦∁⪩⨒∯233011)))⫉⨲⊜(⪩⨒∯131312↳≱⪩⨒∯1033022⇷(⪩⨒∯303331⨶)↡⊰⫅((⇜⊴⪩⨒∯132232)⫡⨏⪩⨒∯1232132⩼⇪↪⪩⨒∯203103))","cot":[{"info":"⪩⨒∯1123131≧⫂∧⪩⨒∯121320=⪩⨒∯102133","layer":3},{"info":"⪩⨒∯101012⫿=⪩⨒∯101012","layer":3},{"info":"⪩⨒∯102133⪬⪩⨒∯101012=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯132220⨓⪩⨒∯303110=⪩⨒∯-303113","layer":3},{"info":"≦∁⪩⨒∯233011=⪩⨒∯233011","layer":3},{"info":"⪩⨒∯-303113⋳⪒⪩⨒∯233011=⪩⨒∯-2122102","layer":2},{"info":"⪩⨒∯103102⪮%⊝⪩⨒∯-2122102=⪩⨒∯223200","layer":1},{"info":"⪩⨒∯131312↳≱⪩⨒∯1033022=⪩⨒∯0","layer":3},{"info":"⪩⨒∯303331⨶=⪩⨒∯1030220","layer":3},{"info":"⪩⨒∯0⇷⪩⨒∯1030220=⪩⨒∯2121100","layer":2},{"info":"⇜⊴⪩⨒∯132232=⪩⨒∯-1231323112","layer":3},{"info":"⪩⨒∯1232132⩼⇪↪⪩⨒∯203103=⪩⨒∯-212120","layer":3},{"info":"⪩⨒∯-1231323112⫡⨏⪩⨒∯-212120=⪩⨒∯-20212221033","layer":2},{"info":"⪩⨒∯2121100↡⊰⫅⪩⨒∯-20212221033=NaN","layer":1},{"info":"⪩⨒∯223200⫉⨲⊜NaN=⪩⨒∯0","layer":0}]}
{"id":532,"expression_no_base_symbol":"(≔(($2559$⪷)⨟⋌⩍($3596$⩒⫫$5872$)))⊧↖","expression":"(≔((⪩⨒∯213333⪷)⨟⋌⩍(⪩⨒∯320030⩒⫫⪩⨒∯1123300)))⊧↖","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2675,"operation_count":5,"complexity_ratio":535.0,"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":2559,"base":4}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3596,"base":4},"right_expr":{"type":"numeric_atoms","value":5872,"base":4}}}}},"used_operators":["EKiFHuOFxO","8FLs4eVsLt","rGHVDoGpnC","Qctrpi3WzA","KFSx94NKJn"],"dependent_operators":["5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","Tcnh7f0tEr","Nsiff2A1zJ","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=2559","layer":4},{"info":"compute unary expreesion, input=2559, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=3596","layer":4},{"info":"number node, value=5872","layer":4},{"info":"compute binary expreesion, left_input=3596, right_input=5872, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3294","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3294, 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 = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(≔((⪩⨒∯213333⪷)⨟⋌⩍(⪩⨒∯320030⩒⫫⪩⨒∯1123300)))⊧↖=NaN","reverse_text":"NaN=(≔((⪩⨒∯213333⪷)⨟⋌⩍(⪩⨒∯320030⩒⫫⪩⨒∯1123300)))⊧↖","cot":[{"info":"⪩⨒∯213333⪷=NaN","layer":3},{"info":"⪩⨒∯320030⩒⫫⪩⨒∯1123300=⪩⨒∯303132","layer":3},{"info":"NaN⨟⋌⩍⪩⨒∯303132=NaN","layer":2},{"info":"≔NaN=NaN","layer":1},{"info":"NaN⊧↖=NaN","layer":0}]}
{"id":533,"expression_no_base_symbol":"(($1777$≀⩗∶$2631$)↢($2225$⨚$2599$)∋($1488$∊∟⩊$1122$⪉⨛$1001$⫣⪄⊒$1132$))⊕∕((⩩$2127$)⩍⋽⫝̸(⨑⩽⪐$2306$)⇌⫙⪟($3192$%$7024$)≹⇙⪍(⩏⊷≩$1702$))","expression":"((⪩⨒∯123301≀⩗∶⪩⨒∯221013)↢(⪩⨒∯202301⨚⪩⨒∯220213)∋(⪩⨒∯113100∊∟⩊⪩⨒∯101202⪉⨛⪩⨒∯33221⫣⪄⊒⪩⨒∯101230))⊕∕((⩩⪩⨒∯201033)⩍⋽⫝̸(⨑⩽⪐⪩⨒∯210002)⇌⫙⪟(⪩⨒∯301320%⪩⨒∯1231300)≹⇙⪍(⩏⊷≩⪩⨒∯122212))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3315,"operation_count":15,"complexity_ratio":221.0,"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":1777,"base":4},"right_expr":{"type":"numeric_atoms","value":2631,"base":4}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2225,"base":4},"right_expr":{"type":"numeric_atoms","value":2599,"base":4}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"numeric_atoms","value":1488,"base":4},"right_expr":{"type":"numeric_atoms","value":1122,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1001,"base":4},"right_expr":{"type":"numeric_atoms","value":1132,"base":4}}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2127,"base":4}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2306,"base":4}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3192,"base":4},"right_expr":{"type":"numeric_atoms","value":7024,"base":4}},"right_expr":{"type":"unary","operator":"⩏⊷≩","unary_expr":{"type":"numeric_atoms","value":1702,"base":4}}}}},"used_operators":["9cloC0Ngie","ukq6epAj5P","WR6HLWljOP","8INZBEW696","nREPSIbpBE","EWw2JM7wp4","ddLRYrp01A","RabNbG55vr","AFVx7xoS7T","BiWNJpBvwn","kMhfGuqI2H","AF7qkfDlqP","AHs5Up7iyr","k8jYdgA6NY","uOZ1tnYMDE"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Ph9nP6C5qx","xUOZtlo3hN","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","23Mk6UjR3U","12rbrZMWeM"],"result":"⪩⨒∯1011322103100","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1777","layer":4},{"info":"number node, value=2631","layer":4},{"info":"compute binary expreesion, left_input=1777, right_input=2631, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"number node, value=2225","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=2225, right_input=2599, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-5012","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-5012, 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":"number node, value=1488","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=1122, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=1122","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1132, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5302","layer":3},{"info":"compute binary expreesion, left_input=1122, right_input=-5302, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=8883","layer":2},{"info":"compute binary expreesion, left_input=-484, right_input=8883, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=18326736","layer":1},{"info":"number node, value=2127","layer":4},{"info":"compute unary expreesion, input=2127, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=2306","layer":4},{"info":"compute unary expreesion, input=2306, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2033","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2033, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=nan","layer":2},{"info":"number node, value=3192","layer":4},{"info":"number node, value=7024","layer":4},{"info":"compute binary expreesion, left_input=3192, right_input=7024, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3192","layer":3},{"info":"number node, value=1702","layer":4},{"info":"compute unary expreesion, input=1702, op_id = uOZ1tnYMDE, unary_op_definition = '⩏⊷≩a = { ((a⋳⪒20)⋷(a⋳⪒17)) }', output=3103","layer":3},{"info":"compute binary expreesion, left_input=3192, right_input=3103, 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 = 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=18326736, right_input=nan, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=18326736","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯123301≀⩗∶⪩⨒∯221013)↢(⪩⨒∯202301⨚⪩⨒∯220213)∋(⪩⨒∯113100∊∟⩊⪩⨒∯101202⪉⨛⪩⨒∯33221⫣⪄⊒⪩⨒∯101230))⊕∕((⩩⪩⨒∯201033)⩍⋽⫝̸(⨑⩽⪐⪩⨒∯210002)⇌⫙⪟(⪩⨒∯301320%⪩⨒∯1231300)≹⇙⪍(⩏⊷≩⪩⨒∯122212))=⪩⨒∯1011322103100","reverse_text":"⪩⨒∯1011322103100=((⪩⨒∯123301≀⩗∶⪩⨒∯221013)↢(⪩⨒∯202301⨚⪩⨒∯220213)∋(⪩⨒∯113100∊∟⩊⪩⨒∯101202⪉⨛⪩⨒∯33221⫣⪄⊒⪩⨒∯101230))⊕∕((⩩⪩⨒∯201033)⩍⋽⫝̸(⨑⩽⪐⪩⨒∯210002)⇌⫙⪟(⪩⨒∯301320%⪩⨒∯1231300)≹⇙⪍(⩏⊷≩⪩⨒∯122212))","cot":[{"info":"⪩⨒∯123301≀⩗∶⪩⨒∯221013=⪩⨒∯-3","layer":3},{"info":"⪩⨒∯202301⨚⪩⨒∯220213=⪩⨒∯-1032110","layer":3},{"info":"⪩⨒∯-3↢⪩⨒∯-1032110=⪩⨒∯-13210","layer":2},{"info":"⪩⨒∯113100∊∟⩊⪩⨒∯101202=⪩⨒∯101202","layer":3},{"info":"⪩⨒∯33221⫣⪄⊒⪩⨒∯101230=⪩⨒∯-1102312","layer":3},{"info":"⪩⨒∯101202⪉⨛⪩⨒∯-1102312=⪩⨒∯2022303","layer":2},{"info":"⪩⨒∯-13210∋⪩⨒∯2022303=⪩⨒∯1011322103100","layer":1},{"info":"⩩⪩⨒∯201033=NaN","layer":3},{"info":"⨑⩽⪐⪩⨒∯210002=⪩⨒∯-133301","layer":3},{"info":"NaN⩍⋽⫝̸⪩⨒∯-133301=NaN","layer":2},{"info":"⪩⨒∯301320%⪩⨒∯1231300=⪩⨒∯301320","layer":3},{"info":"⩏⊷≩⪩⨒∯122212=⪩⨒∯300133","layer":3},{"info":"⪩⨒∯301320≹⇙⪍⪩⨒∯300133=NaN","layer":2},{"info":"NaN⇌⫙⪟NaN=NaN","layer":1},{"info":"⪩⨒∯1011322103100⊕∕NaN=⪩⨒∯1011322103100","layer":0}]}
{"id":534,"expression_no_base_symbol":"(+⊝⨔(($8238$↠)⊹∫⫚$1950$↬$3529$))⩺⪪($1004$⊘)⋓(⪭⩑⪱$3079$)⨐⩸⫘(≛($2419$⊍⩺⋍$3408$))","expression":"(+⊝⨔((⪩⨒∯2000232↠)⊹∫⫚⪩⨒∯132132↬⪩⨒∯313021))⩺⪪(⪩⨒∯33230⊘)⋓(⪭⩑⪱⪩⨒∯300013)⨐⩸⫘(≛(⪩⨒∯211303⊍⩺⋍⪩⨒∯311100))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":251679,"operation_count":11,"complexity_ratio":22879.909090909092,"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":8238,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1950,"base":4},"right_expr":{"type":"numeric_atoms","value":3529,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1004,"base":4}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"numeric_atoms","value":3079,"base":4}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":2419,"base":4},"right_expr":{"type":"numeric_atoms","value":3408,"base":4}}}}},"used_operators":["uvdQJvN4PV","DhbWaqg5eL","uWAJUKEvyW","LBdsKIvxzf","B5M0gjZbta","fu6greOZ01","T2fj7uvVaJ","gu96TGCTMs","SIgE0bArFf","W7eaUhjymW","OXDGMFPWZM"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb","rGHVDoGpnC","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8238","layer":4},{"info":"compute unary expreesion, input=8238, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"number node, value=1950","layer":4},{"info":"number node, value=3529","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=3529, 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=-447, 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":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":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, 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=3079","layer":4},{"info":"compute unary expreesion, input=3079, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8320752, 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=2419","layer":4},{"info":"number node, value=3408","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=3408, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣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":"compute binary expreesion, left_input=0, 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":"compute binary expreesion, left_input=1522, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(+⊝⨔((⪩⨒∯2000232↠)⊹∫⫚⪩⨒∯132132↬⪩⨒∯313021))⩺⪪(⪩⨒∯33230⊘)⋓(⪭⩑⪱⪩⨒∯300013)⨐⩸⫘(≛(⪩⨒∯211303⊍⩺⋍⪩⨒∯311100))=NaN","reverse_text":"NaN=(+⊝⨔((⪩⨒∯2000232↠)⊹∫⫚⪩⨒∯132132↬⪩⨒∯313021))⩺⪪(⪩⨒∯33230⊘)⋓(⪭⩑⪱⪩⨒∯300013)⨐⩸⫘(≛(⪩⨒∯211303⊍⩺⋍⪩⨒∯311100))","cot":[{"info":"⪩⨒∯2000232↠=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯132132↬⪩⨒∯313021=NaN","layer":3},{"info":"⪩⨒∯-12333⊹∫⫚NaN=NaN","layer":2},{"info":"+⊝⨔NaN=⪩⨒∯113302","layer":1},{"info":"⪩⨒∯33230⊘=⪩⨒∯0","layer":3},{"info":"⪭⩑⪱⪩⨒∯300013=⪩⨒∯133233123300","layer":3},{"info":"⪩⨒∯0⋓⪩⨒∯133233123300=⪩⨒∯0","layer":2},{"info":"⪩⨒∯211303⊍⩺⋍⪩⨒∯311100=NaN","layer":3},{"info":"≛NaN=NaN","layer":2},{"info":"⪩⨒∯0⨐⩸⫘NaN=NaN","layer":1},{"info":"⪩⨒∯113302⩺⪪NaN=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"((⊵⊁$3313$)≓∲($5603$∕⩚$5797$))≦↸($1435$⨎$2989$)⪬($3703$⪪$2871$)⪬∳","expression":"((⊵⊁⪩⨒∯303301)≓∲(⪩⨒∯1113203∕⩚⪩⨒∯1122211))≦↸(⪩⨒∯112123⨎⪩⨒∯232231)⪬(⪩⨒∯321313⪪⪩⨒∯230313)⪬∳","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17596,"operation_count":8,"complexity_ratio":2199.5,"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":3313,"base":4}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":5603,"base":4},"right_expr":{"type":"numeric_atoms","value":5797,"base":4}}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1435,"base":4},"right_expr":{"type":"numeric_atoms","value":2989,"base":4}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3703,"base":4},"right_expr":{"type":"numeric_atoms","value":2871,"base":4}}}}},"used_operators":["O9U3z1385E","RygbFNSyEJ","s1XTVnmDOJ","AvED76WdY7","z9ffQ9n5Zr","Ez1Nq5fNfI","rJVOvQCfKK","xD69zh8xqp"],"dependent_operators":["FU0Cs4j7VP","ukq6epAj5P","k7HXdKtiEU","zVYPLywUTj","LYeZOJ0nQG","kuIXHzHcAH","tcjXMdvYtA","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","uBihLCJcMX","k8jYdgA6NY","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3313","layer":4},{"info":"compute unary expreesion, input=3313, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=18808","layer":3},{"info":"number node, value=5603","layer":4},{"info":"number node, value=5797","layer":4},{"info":"compute binary expreesion, left_input=5603, right_input=5797, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-5606","layer":3},{"info":"compute binary expreesion, left_input=18808, right_input=-5606, 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=-792095","layer":2},{"info":"number node, value=1435","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=2989, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2989","layer":3},{"info":"number node, value=3703","layer":4},{"info":"number node, value=2871","layer":4},{"info":"compute binary expreesion, left_input=3703, right_input=2871, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-555242","layer":3},{"info":"compute binary expreesion, left_input=2989, right_input=-555242, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":2},{"info":"compute binary expreesion, left_input=-792095, right_input=1234, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1582403","layer":1},{"info":"compute unary expreesion, input=1582403, op_id = O9U3z1385E, unary_op_definition = 'a⪬∳ = { ((a∋a)⊪) , if ((a⪨⊡684)!=357 and (≘a)<480 and (⊲⪭a)>=673) ; (⫎≠⋺(a↛⩡⫤)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⊵⊁⪩⨒∯303301)≓∲(⪩⨒∯1113203∕⩚⪩⨒∯1122211))≦↸(⪩⨒∯112123⨎⪩⨒∯232231)⪬(⪩⨒∯321313⪪⪩⨒∯230313)⪬∳=NaN","reverse_text":"NaN=((⊵⊁⪩⨒∯303301)≓∲(⪩⨒∯1113203∕⩚⪩⨒∯1122211))≦↸(⪩⨒∯112123⨎⪩⨒∯232231)⪬(⪩⨒∯321313⪪⪩⨒∯230313)⪬∳","cot":[{"info":"⊵⊁⪩⨒∯303301=⪩⨒∯10211320","layer":3},{"info":"⪩⨒∯1113203∕⩚⪩⨒∯1122211=⪩⨒∯-1113212","layer":3},{"info":"⪩⨒∯10211320≓∲⪩⨒∯-1113212=⪩⨒∯-3001120133","layer":2},{"info":"⪩⨒∯112123⨎⪩⨒∯232231=⪩⨒∯232231","layer":3},{"info":"⪩⨒∯321313⪪⪩⨒∯230313=⪩⨒∯-2013203222","layer":3},{"info":"⪩⨒∯232231⪬⪩⨒∯-2013203222=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯-3001120133≦↸⪩⨒∯103102=⪩⨒∯12002111003","layer":1},{"info":"⪩⨒∯12002111003⪬∳=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"($3352$⫻⋑⊟)≁($1080$⫃⨇$1958$)∓⋝($1692$⪭$1637$∙⊟$2049$∴$3845$)≥⨤⩑(↨$4869$↢$1176$)⊕∕(⨆≐≲($1031$⪮%⊝$1258$))","expression":"(⪩⨒∯310120⫻⋑⊟)≁(⪩⨒∯100320⫃⨇⪩⨒∯132212)∓⋝(⪩⨒∯122130⪭⪩⨒∯121211∙⊟⪩⨒∯200001∴⪩⨒∯330011)≥⨤⩑(↨⪩⨒∯1030011↢⪩⨒∯102120)⊕∕(⨆≐≲(⪩⨒∯100013⪮%⊝⪩⨒∯103222))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":565,"operation_count":13,"complexity_ratio":43.46153846153846,"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":3352,"base":4}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1080,"base":4},"right_expr":{"type":"numeric_atoms","value":1958,"base":4}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":1692,"base":4},"right_expr":{"type":"numeric_atoms","value":1637,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2049,"base":4},"right_expr":{"type":"numeric_atoms","value":3845,"base":4}}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":4869,"base":4},"right_expr":{"type":"numeric_atoms","value":1176,"base":4}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1031,"base":4},"right_expr":{"type":"numeric_atoms","value":1258,"base":4}}}}},"used_operators":["gJLn6v0xnP","PoHhknlbAi","8N2wDY1A35","o575Zjdmzy","09Ly4LVMIf","SxTAKzQCrw","j9kHMeSvPp","hrf7POJlIJ","9cloC0Ngie","jiX4gk2v2Q","WR6HLWljOP","Bi9z9uYZqW","IWmyXbctLI"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","COABgblf1C","xUOZtlo3hN","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rGHVDoGpnC","oZj3VtZNQx","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪩⨒∯103102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3352","layer":4},{"info":"compute unary expreesion, input=3352, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-6194","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=1958","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=1958, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-7864","layer":3},{"info":"compute binary expreesion, left_input=-6194, right_input=-7864, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-230681","layer":2},{"info":"number node, value=1692","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=1637, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=3845","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=3845, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5746","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=5746, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22220","layer":2},{"info":"compute binary expreesion, left_input=-230681, right_input=22220, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=4869","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=1176, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=4385","layer":3},{"info":"compute unary expreesion, input=4385, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1258, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2378","layer":3},{"info":"compute unary expreesion, input=2378, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=25691352","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=25691352, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯310120⫻⋑⊟)≁(⪩⨒∯100320⫃⨇⪩⨒∯132212)∓⋝(⪩⨒∯122130⪭⪩⨒∯121211∙⊟⪩⨒∯200001∴⪩⨒∯330011)≥⨤⩑(↨⪩⨒∯1030011↢⪩⨒∯102120)⊕∕(⨆≐≲(⪩⨒∯100013⪮%⊝⪩⨒∯103222))=⪩⨒∯103102","reverse_text":"⪩⨒∯103102=(⪩⨒∯310120⫻⋑⊟)≁(⪩⨒∯100320⫃⨇⪩⨒∯132212)∓⋝(⪩⨒∯122130⪭⪩⨒∯121211∙⊟⪩⨒∯200001∴⪩⨒∯330011)≥⨤⩑(↨⪩⨒∯1030011↢⪩⨒∯102120)⊕∕(⨆≐≲(⪩⨒∯100013⪮%⊝⪩⨒∯103222))","cot":[{"info":"⪩⨒∯310120⫻⋑⊟=⪩⨒∯-1200302","layer":3},{"info":"⪩⨒∯100320⫃⨇⪩⨒∯132212=⪩⨒∯-1322320","layer":3},{"info":"⪩⨒∯-1200302≁⪩⨒∯-1322320=⪩⨒∯-320110121","layer":2},{"info":"⪩⨒∯122130⪭⪩⨒∯121211=⪩⨒∯11","layer":3},{"info":"⪩⨒∯200001∴⪩⨒∯330011=⪩⨒∯1121302","layer":3},{"info":"⪩⨒∯11∙⊟⪩⨒∯1121302=⪩⨒∯11123030","layer":2},{"info":"⪩⨒∯-320110121∓⋝⪩⨒∯11123030=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯1030011↢⪩⨒∯102120=⪩⨒∯1010201","layer":3},{"info":"↨⪩⨒∯1010201=NaN","layer":2},{"info":"⪩⨒∯100013⪮%⊝⪩⨒∯103222=⪩⨒∯211022","layer":3},{"info":"⨆≐≲⪩⨒∯211022=⪩⨒∯1202000103120","layer":2},{"info":"NaN⊕∕⪩⨒∯1202000103120=NaN","layer":1},{"info":"⪩⨒∯1003≥⨤⩑NaN=⪩⨒∯103102","layer":0}]}
{"id":537,"expression_no_base_symbol":"(⇜⊴((↔$5851$)⪗))≭(($7528$∙⊟$1968$)⨼⩣($1198$⇴∐$3879$)⋭≵($3730$⋭≵$1268$)∌$1003$≌$1525$)","expression":"(⇜⊴((↔⪩⨒∯1123123)⪗))≭((⪩⨒∯1311220∙⊟⪩⨒∯132300)⨼⩣(⪩⨒∯102232⇴∐⪩⨒∯330213)⋭≵(⪩⨒∯322102⋭≵⪩⨒∯103310)∌⪩⨒∯33223≌⪩⨒∯113311)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16307,"operation_count":11,"complexity_ratio":1482.4545454545455,"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":5851,"base":4}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":7528,"base":4},"right_expr":{"type":"numeric_atoms","value":1968,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1198,"base":4},"right_expr":{"type":"numeric_atoms","value":3879,"base":4}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3730,"base":4},"right_expr":{"type":"numeric_atoms","value":1268,"base":4}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1003,"base":4},"right_expr":{"type":"numeric_atoms","value":1525,"base":4}}}}},"used_operators":["rxpJgHHUmx","XwDhCwWbUn","VEQNXA0ZBg","ruOEQAzv1W","jBncVCNhdl","JxwMv5le6e","SxTAKzQCrw","HnzytWxmAO","8cLx32lpNA","lyWz822IDG"],"dependent_operators":["AHs5Up7iyr","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","dWAJyo7jo9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5851","layer":4},{"info":"compute unary expreesion, input=5851, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5578","layer":3},{"info":"compute unary expreesion, input=-5578, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (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=7528","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=7528, right_input=1968, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=107710","layer":3},{"info":"number node, value=1198","layer":4},{"info":"number node, value=3879","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=3879, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=107710, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=3730","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=3730, right_input=1268, 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=1003","layer":4},{"info":"number node, value=1525","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1525, 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=67, right_input=nan, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', 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":"compute binary expreesion, left_input=nan, right_input=67, 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":4,"result_base":4,"text":"(⇜⊴((↔⪩⨒∯1123123)⪗))≭((⪩⨒∯1311220∙⊟⪩⨒∯132300)⨼⩣(⪩⨒∯102232⇴∐⪩⨒∯330213)⋭≵(⪩⨒∯322102⋭≵⪩⨒∯103310)∌⪩⨒∯33223≌⪩⨒∯113311)=NaN","reverse_text":"NaN=(⇜⊴((↔⪩⨒∯1123123)⪗))≭((⪩⨒∯1311220∙⊟⪩⨒∯132300)⨼⩣(⪩⨒∯102232⇴∐⪩⨒∯330213)⋭≵(⪩⨒∯322102⋭≵⪩⨒∯103310)∌⪩⨒∯33223≌⪩⨒∯113311)","cot":[{"info":"↔⪩⨒∯1123123=⪩⨒∯-1113022","layer":3},{"info":"⪩⨒∯-1113022⪗=NaN","layer":2},{"info":"⇜⊴NaN=NaN","layer":1},{"info":"⪩⨒∯1311220∙⊟⪩⨒∯132300=⪩⨒∯122102332","layer":3},{"info":"⪩⨒∯102232⇴∐⪩⨒∯330213=NaN","layer":3},{"info":"⪩⨒∯122102332⨼⩣NaN=NaN","layer":2},{"info":"⪩⨒∯322102⋭≵⪩⨒∯103310=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯33223≌⪩⨒∯113311=NaN","layer":3},{"info":"⪩⨒∯1003∌NaN=NaN","layer":2},{"info":"NaN⋭≵NaN=⪩⨒∯1003","layer":1},{"info":"NaN≭⪩⨒∯1003=NaN","layer":0}]}
{"id":538,"expression_no_base_symbol":"((⫯($2377$⩱))⊟⇱)⊅","expression":"((⫯(⪩⨒∯211021⩱))⊟⇱)⊅","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":200,"operation_count":4,"complexity_ratio":50.0,"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":2377,"base":4}}}}},"used_operators":["7p6YLioM7f","03sUfWo75k","H6BK1Evt7c","uyq1hVkAcj"],"dependent_operators":["SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","IWmyXbctLI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C"],"result":"⪩⨒∯-2232","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2377","layer":4},{"info":"compute unary expreesion, input=2377, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-14512","layer":3},{"info":"compute unary expreesion, input=-14512, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=391264","layer":2},{"info":"compute unary expreesion, input=391264, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=782844","layer":1},{"info":"compute unary expreesion, input=782844, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":0}],"base":4,"result_base":4,"text":"((⫯(⪩⨒∯211021⩱))⊟⇱)⊅=⪩⨒∯-2232","reverse_text":"⪩⨒∯-2232=((⫯(⪩⨒∯211021⩱))⊟⇱)⊅","cot":[{"info":"⪩⨒∯211021⩱=⪩⨒∯-3202300","layer":3},{"info":"⫯⪩⨒∯-3202300=⪩⨒∯1133201200","layer":2},{"info":"⪩⨒∯1133201200⊟⇱=⪩⨒∯2333013330","layer":1},{"info":"⪩⨒∯2333013330⊅=⪩⨒∯-2232","layer":0}]}
{"id":539,"expression_no_base_symbol":"(∂⩏⊆($7526$⊮⊟↴$2464$⊭↱($1292$∷$1795$)))⊢(($2927$⫲≸⪮$1118$)⇻⋧≁($1780$≠≀$6099$)∙∹∝(⨑⩽⪐(⩦⩻⨪$2751$)))","expression":"(∂⩏⊆(⪩⨒∯1311212⊮⊟↴⪩⨒∯212200⊭↱(⪩⨒∯110030∷⪩⨒∯130003)))⊢((⪩⨒∯231233⫲≸⪮⪩⨒∯101132)⇻⋧≁(⪩⨒∯123310≠≀⪩⨒∯1133103)∙∹∝(⨑⩽⪐(⩦⩻⨪⪩⨒∯222333)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5988,"operation_count":11,"complexity_ratio":544.3636363636364,"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":7526,"base":4},"right_expr":{"type":"numeric_atoms","value":2464,"base":4}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1292,"base":4},"right_expr":{"type":"numeric_atoms","value":1795,"base":4}}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":2927,"base":4},"right_expr":{"type":"numeric_atoms","value":1118,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1780,"base":4},"right_expr":{"type":"numeric_atoms","value":6099,"base":4}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2751,"base":4}}}}},"used_operators":["5twsqlHp2o","8WDwsbhb0R","COABgblf1C","QDVgd2eftb","D3AQDKkPcf","HmxsFra2vL","jCPkEVoL5K","P3lXMJvFrc","IwW236VD4Y","AF7qkfDlqP","2td37pGCOC"],"dependent_operators":["P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","14qkJME0vr","eLAdDNolq6","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","7j4O788W3g","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯11033230","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7526","layer":4},{"info":"number node, value=2464","layer":4},{"info":"compute binary expreesion, left_input=7526, right_input=2464, 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=1292","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=1795, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1795","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1795, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3595","layer":2},{"info":"compute unary expreesion, input=3595, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-10864","layer":1},{"info":"number node, value=2927","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=2927, right_input=1118, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=2927","layer":3},{"info":"number node, value=1780","layer":4},{"info":"number node, value=6099","layer":4},{"info":"compute binary expreesion, left_input=1780, right_input=6099, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3254","layer":3},{"info":"compute binary expreesion, left_input=2927, right_input=-3254, 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=2751","layer":4},{"info":"compute unary expreesion, input=2751, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2751","layer":3},{"info":"compute unary expreesion, input=2751, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2478","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-2478, 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=-10864, 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=21484","layer":0}],"base":4,"result_base":4,"text":"(∂⩏⊆(⪩⨒∯1311212⊮⊟↴⪩⨒∯212200⊭↱(⪩⨒∯110030∷⪩⨒∯130003)))⊢((⪩⨒∯231233⫲≸⪮⪩⨒∯101132)⇻⋧≁(⪩⨒∯123310≠≀⪩⨒∯1133103)∙∹∝(⨑⩽⪐(⩦⩻⨪⪩⨒∯222333)))=⪩⨒∯11033230","reverse_text":"⪩⨒∯11033230=(∂⩏⊆(⪩⨒∯1311212⊮⊟↴⪩⨒∯212200⊭↱(⪩⨒∯110030∷⪩⨒∯130003)))⊢((⪩⨒∯231233⫲≸⪮⪩⨒∯101132)⇻⋧≁(⪩⨒∯123310≠≀⪩⨒∯1133103)∙∹∝(⨑⩽⪐(⩦⩻⨪⪩⨒∯222333)))","cot":[{"info":"⪩⨒∯1311212⊮⊟↴⪩⨒∯212200=⪩⨒∯0","layer":3},{"info":"⪩⨒∯110030∷⪩⨒∯130003=⪩⨒∯130003","layer":3},{"info":"⪩⨒∯0⊭↱⪩⨒∯130003=⪩⨒∯320023","layer":2},{"info":"∂⩏⊆⪩⨒∯320023=⪩⨒∯-2221300","layer":1},{"info":"⪩⨒∯231233⫲≸⪮⪩⨒∯101132=⪩⨒∯231233","layer":3},{"info":"⪩⨒∯123310≠≀⪩⨒∯1133103=⪩⨒∯-302312","layer":3},{"info":"⪩⨒∯231233⇻⋧≁⪩⨒∯-302312=⪩⨒∯-12333","layer":2},{"info":"⩦⩻⨪⪩⨒∯222333=⪩⨒∯222333","layer":3},{"info":"⨑⩽⪐⪩⨒∯222333=⪩⨒∯-212232","layer":2},{"info":"⪩⨒∯-12333∙∹∝⪩⨒∯-212232=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-2221300⊢⪩⨒∯0=⪩⨒∯11033230","layer":0}]}
{"id":540,"expression_no_base_symbol":"(⨴⫝$1287$⨑⩅≇$2539$∓⋝($7141$⩌⋺$3502$))≳⇉(≑⋹(($3542$↺$3496$)⫻⋑⊟))","expression":"(⨴⫝⪩⨒∯110013⨑⩅≇⪩⨒∯213223∓⋝(⪩⨒∯1233211⩌⋺⪩⨒∯312232))≳⇉(≑⋹((⪩⨒∯313112↺⪩⨒∯312220)⫻⋑⊟))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10238752,"operation_count":8,"complexity_ratio":1279844.0,"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":1287,"base":4},"right_expr":{"type":"numeric_atoms","value":2539,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":7141,"base":4},"right_expr":{"type":"numeric_atoms","value":3502,"base":4}}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3542,"base":4},"right_expr":{"type":"numeric_atoms","value":3496,"base":4}}}}},"used_operators":["V0kx6qeWkN","SVb2v531z1","PoHhknlbAi","h92wMvzauj","g7Hmc5v1ko","6B9nyZLogK","o575Zjdmzy","7j4O788W3g"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1287","layer":4},{"info":"number node, value=2539","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=2539, 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=-3861","layer":3},{"info":"number node, value=7141","layer":4},{"info":"number node, value=3502","layer":4},{"info":"compute binary expreesion, left_input=7141, right_input=3502, 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=-10764","layer":3},{"info":"compute binary expreesion, left_input=-3861, right_input=-10764, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute unary expreesion, input=67, 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":1},{"info":"number node, value=3542","layer":4},{"info":"number node, value=3496","layer":4},{"info":"compute binary expreesion, left_input=3542, right_input=3496, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3496","layer":3},{"info":"compute unary expreesion, input=3496, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-6482","layer":2},{"info":"compute unary expreesion, input=-6482, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":1},{"info":"compute binary expreesion, left_input=2828198, right_input=-766, 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":4,"result_base":4,"text":"(⨴⫝⪩⨒∯110013⨑⩅≇⪩⨒∯213223∓⋝(⪩⨒∯1233211⩌⋺⪩⨒∯312232))≳⇉(≑⋹((⪩⨒∯313112↺⪩⨒∯312220)⫻⋑⊟))=NaN","reverse_text":"NaN=(⨴⫝⪩⨒∯110013⨑⩅≇⪩⨒∯213223∓⋝(⪩⨒∯1233211⩌⋺⪩⨒∯312232))≳⇉(≑⋹((⪩⨒∯313112↺⪩⨒∯312220)⫻⋑⊟))","cot":[{"info":"⪩⨒∯110013⨑⩅≇⪩⨒∯213223=⪩⨒∯-330111","layer":3},{"info":"⪩⨒∯1233211⩌⋺⪩⨒∯312232=⪩⨒∯-2220030","layer":3},{"info":"⪩⨒∯-330111∓⋝⪩⨒∯-2220030=⪩⨒∯1003","layer":2},{"info":"⨴⫝⪩⨒∯1003=⪩⨒∯22302132212","layer":1},{"info":"⪩⨒∯313112↺⪩⨒∯312220=⪩⨒∯312220","layer":3},{"info":"⪩⨒∯312220⫻⋑⊟=⪩⨒∯-1211102","layer":2},{"info":"≑⋹⪩⨒∯-1211102=⪩⨒∯-23332","layer":1},{"info":"⪩⨒∯22302132212≳⇉⪩⨒∯-23332=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"((≅≯⇸$2414$⫃⨇$2617$)≀⫉($4232$+⇶⊼$3034$⋥≓≎$2935$⪚$7630$))∌(⋼∭⪍($4781$⪔⊥$3384$⊔$4430$⊱⇼⊻$1839$))","expression":"((≅≯⇸⪩⨒∯211232⫃⨇⪩⨒∯220321)≀⫉(⪩⨒∯1002020+⇶⊼⪩⨒∯233122⋥≓≎⪩⨒∯231313⪚⪩⨒∯1313032))∌(⋼∭⪍(⪩⨒∯1022231⪔⊥⪩⨒∯310320⊔⪩⨒∯1011032⊱⇼⊻⪩⨒∯130233))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":255,"operation_count":11,"complexity_ratio":23.181818181818183,"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":2414,"base":4},"right_expr":{"type":"numeric_atoms","value":2617,"base":4}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4232,"base":4},"right_expr":{"type":"numeric_atoms","value":3034,"base":4}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":2935,"base":4},"right_expr":{"type":"numeric_atoms","value":7630,"base":4}}}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4781,"base":4},"right_expr":{"type":"numeric_atoms","value":3384,"base":4}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":4430,"base":4},"right_expr":{"type":"numeric_atoms","value":1839,"base":4}}}}},"used_operators":["8cLx32lpNA","oZj3VtZNQx","apS25hmuAe","09Ly4LVMIf","Qy55tPpLXF","TpPTUOHfaN","HrjLwUk87U","DbCuESL50I","E4l6HwMY31","HJ9erzHUuu","FyVja0WsTP"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⪩⨒∯113012010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2414","layer":4},{"info":"number node, value=2617","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=2617, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-10500","layer":3},{"info":"compute unary expreesion, input=-10500, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-34323","layer":2},{"info":"number node, value=4232","layer":4},{"info":"number node, value=3034","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=3034, 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=2935","layer":4},{"info":"number node, value=7630","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=7630, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-9746","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9746, 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=-34323, right_input=67, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":1},{"info":"number node, value=4781","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=4781, right_input=3384, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=12157","layer":3},{"info":"number node, value=4430","layer":4},{"info":"number node, value=1839","layer":4},{"info":"compute binary expreesion, left_input=4430, right_input=1839, 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=12157, right_input=434, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=24084","layer":2},{"info":"compute unary expreesion, input=24084, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-94596","layer":1},{"info":"compute binary expreesion, left_input=2822, right_input=-94596, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=94596","layer":0}],"base":4,"result_base":4,"text":"((≅≯⇸⪩⨒∯211232⫃⨇⪩⨒∯220321)≀⫉(⪩⨒∯1002020+⇶⊼⪩⨒∯233122⋥≓≎⪩⨒∯231313⪚⪩⨒∯1313032))∌(⋼∭⪍(⪩⨒∯1022231⪔⊥⪩⨒∯310320⊔⪩⨒∯1011032⊱⇼⊻⪩⨒∯130233))=⪩⨒∯113012010","reverse_text":"⪩⨒∯113012010=((≅≯⇸⪩⨒∯211232⫃⨇⪩⨒∯220321)≀⫉(⪩⨒∯1002020+⇶⊼⪩⨒∯233122⋥≓≎⪩⨒∯231313⪚⪩⨒∯1313032))∌(⋼∭⪍(⪩⨒∯1022231⪔⊥⪩⨒∯310320⊔⪩⨒∯1011032⊱⇼⊻⪩⨒∯130233))","cot":[{"info":"⪩⨒∯211232⫃⨇⪩⨒∯220321=⪩⨒∯-2210010","layer":3},{"info":"≅≯⇸⪩⨒∯-2210010=⪩⨒∯-20120103","layer":2},{"info":"⪩⨒∯1002020+⇶⊼⪩⨒∯233122=NaN","layer":3},{"info":"⪩⨒∯231313⪚⪩⨒∯1313032=⪩⨒∯-2120102","layer":3},{"info":"NaN⋥≓≎⪩⨒∯-2120102=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯-20120103≀⫉⪩⨒∯1003=⪩⨒∯230012","layer":1},{"info":"⪩⨒∯1022231⪔⊥⪩⨒∯310320=⪩⨒∯2331331","layer":3},{"info":"⪩⨒∯1011032⊱⇼⊻⪩⨒∯130233=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯2331331⊔⪩⨒∯12302=⪩⨒∯11320110","layer":2},{"info":"⋼∭⪍⪩⨒∯11320110=⪩⨒∯-113012010","layer":1},{"info":"⪩⨒∯230012∌⪩⨒∯-113012010=⪩⨒∯113012010","layer":0}]}
{"id":542,"expression_no_base_symbol":"⪓⩚($1748$⇌⫙⪟$4184$)≎⪠(⫟$1088$)⊔(⨵($4169$⫚↹⊑$1316$))","expression":"⪓⩚(⪩⨒∯123110⇌⫙⪟⪩⨒∯1001120)≎⪠(⫟⪩⨒∯101000)⊔(⨵(⪩⨒∯1001021⫚↹⊑⪩⨒∯110210))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22611,"operation_count":7,"complexity_ratio":3230.1428571428573,"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":1748,"base":4},"right_expr":{"type":"numeric_atoms","value":4184,"base":4}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1088,"base":4}}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4169,"base":4},"right_expr":{"type":"numeric_atoms","value":1316,"base":4}}}}},"used_operators":["u0R0Locfp2","E4l6HwMY31","aNhz54LH3e","AFVx7xoS7T","z4E1FaHLuy","Tl3Y52tvF8","dfKe02y8D2"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"⪩⨒∯12222","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1748","layer":4},{"info":"number node, value=4184","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=4184, 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":"number node, value=1088","layer":4},{"info":"compute unary expreesion, input=1088, 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=-2357","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-2357, 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=4169","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=4169, right_input=1316, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=13583","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=13583, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=104631","layer":1},{"info":"compute unary expreesion, input=104631, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":4,"result_base":4,"text":"⪓⩚(⪩⨒∯123110⇌⫙⪟⪩⨒∯1001120)≎⪠(⫟⪩⨒∯101000)⊔(⨵(⪩⨒∯1001021⫚↹⊑⪩⨒∯110210))=⪩⨒∯12222","reverse_text":"⪩⨒∯12222=⪓⩚(⪩⨒∯123110⇌⫙⪟⪩⨒∯1001120)≎⪠(⫟⪩⨒∯101000)⊔(⨵(⪩⨒∯1001021⫚↹⊑⪩⨒∯110210))","cot":[{"info":"⪩⨒∯123110⇌⫙⪟⪩⨒∯1001120=⪩⨒∯1301","layer":3},{"info":"⫟⪩⨒∯101000=⪩⨒∯-210311","layer":3},{"info":"⪩⨒∯1301≎⪠⪩⨒∯-210311=⪩⨒∯10301212","layer":2},{"info":"⪩⨒∯1001021⫚↹⊑⪩⨒∯110210=⪩⨒∯-12333","layer":3},{"info":"⨵⪩⨒∯-12333=⪩⨒∯3110033","layer":2},{"info":"⪩⨒∯10301212⊔⪩⨒∯3110033=⪩⨒∯121202313","layer":1},{"info":"⪓⩚⪩⨒∯121202313=⪩⨒∯12222","layer":0}]}
{"id":543,"expression_no_base_symbol":"⊖∈(∥⊫($1659$∙∹∝$3548$)⪢$4974$⩖⊿$3173$)","expression":"⊖∈(∥⊫(⪩⨒∯121323∙∹∝⪩⨒∯313130)⪢⪩⨒∯1031232⩖⊿⪩⨒∯301211)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":5481,"operation_count":5,"complexity_ratio":1096.2,"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":1659,"base":4},"right_expr":{"type":"numeric_atoms","value":3548,"base":4}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":4974,"base":4},"right_expr":{"type":"numeric_atoms","value":3173,"base":4}}}}},"used_operators":["YFxL8Sc2Zy","P8v4zCKN1o","dWAJyo7jo9","HmxsFra2vL","RZ5CV9rWsJ"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1659","layer":4},{"info":"number node, value=3548","layer":4},{"info":"compute binary expreesion, left_input=1659, right_input=3548, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4974","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=4974, right_input=3173, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=5406","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5406, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⊖∈(∥⊫(⪩⨒∯121323∙∹∝⪩⨒∯313130)⪢⪩⨒∯1031232⩖⊿⪩⨒∯301211)=NaN","reverse_text":"NaN=⊖∈(∥⊫(⪩⨒∯121323∙∹∝⪩⨒∯313130)⪢⪩⨒∯1031232⩖⊿⪩⨒∯301211)","cot":[{"info":"⪩⨒∯121323∙∹∝⪩⨒∯313130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1031232⩖⊿⪩⨒∯301211=⪩⨒∯1110132","layer":3},{"info":"⪩⨒∯0⪢⪩⨒∯1110132=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⊖∈NaN=NaN","layer":0}]}
{"id":544,"expression_no_base_symbol":"(($1697$∳⫺$1203$⨰($6838$⩧⪆$4487$))↯⫤)≚⊃≕((⇜⊴$1062$)+⇶⊼$1188$⪶≀⋏$3026$⨭⪣(⪨⨬($4687$⋭≵$2577$)))","expression":"((⪩⨒∯122201∳⫺⪩⨒∯102303⨰(⪩⨒∯1222312⩧⪆⪩⨒∯1012013))↯⫤)≚⊃≕((⇜⊴⪩⨒∯100212)+⇶⊼⪩⨒∯102210⪶≀⋏⪩⨒∯233102⨭⪣(⪨⨬(⪩⨒∯1021033⋭≵⪩⨒∯220101)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":304,"operation_count":11,"complexity_ratio":27.636363636363637,"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":1697,"base":4},"right_expr":{"type":"numeric_atoms","value":1203,"base":4}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":6838,"base":4},"right_expr":{"type":"numeric_atoms","value":4487,"base":4}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":1062,"base":4}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1188,"base":4},"right_expr":{"type":"numeric_atoms","value":3026,"base":4}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4687,"base":4},"right_expr":{"type":"numeric_atoms","value":2577,"base":4}}}}},"used_operators":["Bmrmz2XGnR","VwlE7vj6HS","eewbuw0ToL","AzXXKTstlj","Ikt5ks8PT7","kn8WO9XteQ","TpPTUOHfaN","XwDhCwWbUn","zR4jO40bMj","5obUd6DV38","jBncVCNhdl"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eewbuw0ToL","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","AHs5Up7iyr","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","T2fj7uvVaJ","nlCqmYiOvY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⪩⨒∯-311002","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1697","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=1203, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"number node, value=6838","layer":4},{"info":"number node, value=4487","layer":4},{"info":"compute binary expreesion, left_input=6838, right_input=4487, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4487","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=-4487, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4237","layer":2},{"info":"compute unary expreesion, input=4237, 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":1},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, 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=-236918","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=3026","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=3026, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-9848","layer":3},{"info":"compute binary expreesion, left_input=-236918, right_input=-9848, 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=4687","layer":4},{"info":"number node, value=2577","layer":4},{"info":"compute binary expreesion, left_input=4687, right_input=2577, 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 = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-526, 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=0, 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=-3394","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯122201∳⫺⪩⨒∯102303⨰(⪩⨒∯1222312⩧⪆⪩⨒∯1012013))↯⫤)≚⊃≕((⇜⊴⪩⨒∯100212)+⇶⊼⪩⨒∯102210⪶≀⋏⪩⨒∯233102⨭⪣(⪨⨬(⪩⨒∯1021033⋭≵⪩⨒∯220101)))=⪩⨒∯-311002","reverse_text":"⪩⨒∯-311002=((⪩⨒∯122201∳⫺⪩⨒∯102303⨰(⪩⨒∯1222312⩧⪆⪩⨒∯1012013))↯⫤)≚⊃≕((⇜⊴⪩⨒∯100212)+⇶⊼⪩⨒∯102210⪶≀⋏⪩⨒∯233102⨭⪣(⪨⨬(⪩⨒∯1021033⋭≵⪩⨒∯220101)))","cot":[{"info":"⪩⨒∯122201∳⫺⪩⨒∯102303=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯1222312⩧⪆⪩⨒∯1012013=⪩⨒∯-1012013","layer":3},{"info":"⪩⨒∯-10010⨰⪩⨒∯-1012013=⪩⨒∯1002031","layer":2},{"info":"⪩⨒∯1002031↯⫤=⪩⨒∯0","layer":1},{"info":"⇜⊴⪩⨒∯100212=⪩⨒∯-321311312","layer":3},{"info":"⪩⨒∯102210⪶≀⋏⪩⨒∯233102=⪩⨒∯-2121320","layer":3},{"info":"⪩⨒∯-321311312+⇶⊼⪩⨒∯-2121320=NaN","layer":2},{"info":"⪩⨒∯1021033⋭≵⪩⨒∯220101=⪩⨒∯1003","layer":3},{"info":"⪨⨬⪩⨒∯1003=⪩⨒∯-20032","layer":2},{"info":"NaN⨭⪣⪩⨒∯-20032=NaN","layer":1},{"info":"⪩⨒∯0≚⊃≕NaN=⪩⨒∯-311002","layer":0}]}
{"id":545,"expression_no_base_symbol":"(((⨈⪑$3082$)⪄($3973$⊾⪯⋞$1770$))⋐⇩⊬)⫒⫫(≔($3676$≹⇙⪍$1207$∠↢$1037$⋛$7015$))","expression":"(((⨈⪑⪩⨒∯300022)⪄(⪩⨒∯332011⊾⪯⋞⪩⨒∯123222))⋐⇩⊬)⫒⫫(≔(⪩⨒∯321130≹⇙⪍⪩⨒∯102313∠↢⪩⨒∯100031⋛⪩⨒∯1231213))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":595,"operation_count":9,"complexity_ratio":66.11111111111111,"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":3082,"base":4}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":3973,"base":4},"right_expr":{"type":"numeric_atoms","value":1770,"base":4}}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3676,"base":4},"right_expr":{"type":"numeric_atoms","value":1207,"base":4}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1037,"base":4},"right_expr":{"type":"numeric_atoms","value":7015,"base":4}}}}},"used_operators":["6Ko8hGgeMq","JuuLT1NoCs","SUmda5xLS4","mp94q5OcYM","HK0tfVPux8","8FLs4eVsLt","KbjG8mgYpV","AHs5Up7iyr","YbUVn0Rbpy"],"dependent_operators":["jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","dWAJyo7jo9","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3082","layer":4},{"info":"compute unary expreesion, input=3082, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=3973","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=3973, right_input=1770, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=3114","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=3114, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-137009","layer":2},{"info":"compute unary expreesion, input=-137009, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=-273897","layer":1},{"info":"number node, value=3676","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=3676, right_input=1207, 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=1037","layer":4},{"info":"number node, value=7015","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=7015, 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=-122859","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-122859, 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 unary expreesion, input=nan, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-273897, right_input=nan, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⨈⪑⪩⨒∯300022)⪄(⪩⨒∯332011⊾⪯⋞⪩⨒∯123222))⋐⇩⊬)⫒⫫(≔(⪩⨒∯321130≹⇙⪍⪩⨒∯102313∠↢⪩⨒∯100031⋛⪩⨒∯1231213))=NaN","reverse_text":"NaN=(((⨈⪑⪩⨒∯300022)⪄(⪩⨒∯332011⊾⪯⋞⪩⨒∯123222))⋐⇩⊬)⫒⫫(≔(⪩⨒∯321130≹⇙⪍⪩⨒∯102313∠↢⪩⨒∯100031⋛⪩⨒∯1231213))","cot":[{"info":"⨈⪑⪩⨒∯300022=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯332011⊾⪯⋞⪩⨒∯123222=⪩⨒∯300222","layer":3},{"info":"⪩⨒∯31210⪄⪩⨒∯300222=⪩⨒∯-201130301","layer":2},{"info":"⪩⨒∯-201130301⋐⇩⊬=⪩⨒∯-1002313221","layer":1},{"info":"⪩⨒∯321130≹⇙⪍⪩⨒∯102313=NaN","layer":3},{"info":"⪩⨒∯100031⋛⪩⨒∯1231213=⪩⨒∯-131333223","layer":3},{"info":"NaN∠↢⪩⨒∯-131333223=NaN","layer":2},{"info":"≔NaN=NaN","layer":1},{"info":"⪩⨒∯-1002313221⫒⫫NaN=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"($6515$⋳⪒$1473$⫌⩉⩟$1720$≁↽≥$1769$)≦↸(($2045$⫰⋱$1727$)⫚⫇)⊴((∤↝$1277$⩖⊿$3709$)⩒⫫($2292$⩌⋺$4816$↱$1276$⇡⇂$1960$))","expression":"(⪩⨒∯1211303⋳⪒⪩⨒∯113001⫌⩉⩟⪩⨒∯122320≁↽≥⪩⨒∯123221)≦↸((⪩⨒∯133331⫰⋱⪩⨒∯122333)⫚⫇)⊴((∤↝⪩⨒∯103331⩖⊿⪩⨒∯321331)⩒⫫(⪩⨒∯203310⩌⋺⪩⨒∯1023100↱⪩⨒∯103330⇡⇂⪩⨒∯132220))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":162573,"operation_count":13,"complexity_ratio":12505.615384615385,"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":6515,"base":4},"right_expr":{"type":"numeric_atoms","value":1473,"base":4}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":1720,"base":4},"right_expr":{"type":"numeric_atoms","value":1769,"base":4}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":2045,"base":4},"right_expr":{"type":"numeric_atoms","value":1727,"base":4}}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1277,"base":4},"right_expr":{"type":"numeric_atoms","value":3709,"base":4}}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":2292,"base":4},"right_expr":{"type":"numeric_atoms","value":4816,"base":4}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1276,"base":4},"right_expr":{"type":"numeric_atoms","value":1960,"base":4}}}}},"used_operators":["Nsiff2A1zJ","RygbFNSyEJ","XIIwhv8d0m","12rbrZMWeM","ncHt1X6cMc","SdCjLnB6rR","6o9Blt3TJ6","KFSx94NKJn","3UMq87Qwqg","RZ5CV9rWsJ","SR5kFfdi6N","g7Hmc5v1ko","UMwdvZNt44"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","rysDP5nf3Z","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6515","layer":4},{"info":"number node, value=1473","layer":4},{"info":"compute binary expreesion, left_input=6515, right_input=1473, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11270","layer":3},{"info":"number node, value=1720","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=1769, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=28666","layer":3},{"info":"compute binary expreesion, left_input=11270, right_input=28666, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"number node, value=2045","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=1727, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-2012","layer":3},{"info":"compute unary expreesion, input=-2012, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":2},{"info":"compute binary expreesion, left_input=-50, right_input=-522, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=731","layer":1},{"info":"number node, value=1277","layer":4},{"info":"number node, value=3709","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=3709, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=24482","layer":3},{"info":"compute unary expreesion, input=24482, 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=24482","layer":2},{"info":"number node, value=2292","layer":4},{"info":"number node, value=4816","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=4816, 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=-7229","layer":3},{"info":"number node, value=1276","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=1960, 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=-7229, 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":2},{"info":"compute binary expreesion, left_input=24482, 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":"compute binary expreesion, left_input=731, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1211303⋳⪒⪩⨒∯113001⫌⩉⩟⪩⨒∯122320≁↽≥⪩⨒∯123221)≦↸((⪩⨒∯133331⫰⋱⪩⨒∯122333)⫚⫇)⊴((∤↝⪩⨒∯103331⩖⊿⪩⨒∯321331)⩒⫫(⪩⨒∯203310⩌⋺⪩⨒∯1023100↱⪩⨒∯103330⇡⇂⪩⨒∯132220))=NaN","reverse_text":"NaN=(⪩⨒∯1211303⋳⪒⪩⨒∯113001⫌⩉⩟⪩⨒∯122320≁↽≥⪩⨒∯123221)≦↸((⪩⨒∯133331⫰⋱⪩⨒∯122333)⫚⫇)⊴((∤↝⪩⨒∯103331⩖⊿⪩⨒∯321331)⩒⫫(⪩⨒∯203310⩌⋺⪩⨒∯1023100↱⪩⨒∯103330⇡⇂⪩⨒∯132220))","cot":[{"info":"⪩⨒∯1211303⋳⪒⪩⨒∯113001=⪩⨒∯2300012","layer":3},{"info":"⪩⨒∯122320≁↽≥⪩⨒∯123221=⪩⨒∯12333322","layer":3},{"info":"⪩⨒∯2300012⫌⩉⩟⪩⨒∯12333322=⪩⨒∯-302","layer":2},{"info":"⪩⨒∯133331⫰⋱⪩⨒∯122333=⪩⨒∯-133130","layer":3},{"info":"⪩⨒∯-133130⫚⫇=⪩⨒∯-20022","layer":2},{"info":"⪩⨒∯-302≦↸⪩⨒∯-20022=⪩⨒∯23123","layer":1},{"info":"⪩⨒∯103331⩖⊿⪩⨒∯321331=⪩⨒∯11332202","layer":3},{"info":"∤↝⪩⨒∯11332202=⪩⨒∯11332202","layer":2},{"info":"⪩⨒∯203310⩌⋺⪩⨒∯1023100=⪩⨒∯-1300331","layer":3},{"info":"⪩⨒∯103330⇡⇂⪩⨒∯132220=NaN","layer":3},{"info":"⪩⨒∯-1300331↱NaN=NaN","layer":2},{"info":"⪩⨒∯11332202⩒⫫NaN=NaN","layer":1},{"info":"⪩⨒∯23123⊴NaN=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"(($1119$≳⇉$4401$)⨔⇊($1951$⇤$6331$)⪁$1407$⪬$1059$≁↽≥($1042$+$1216$))⨼⩣(((⩩$4376$)⩏)⫲≸⪮((⨭⩧⫛$3707$)⋭≵$2742$≨$3365$))","expression":"((⪩⨒∯101133≳⇉⪩⨒∯1010301)⨔⇊(⪩⨒∯132133⇤⪩⨒∯1202323)⪁⪩⨒∯111333⪬⪩⨒∯100203≁↽≥(⪩⨒∯100102+⪩⨒∯103000))⨼⩣(((⩩⪩⨒∯1010120)⩏)⫲≸⪮((⨭⩧⫛⪩⨒∯321323)⋭≵⪩⨒∯222312≨⪩⨒∯310211))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":292976614,"operation_count":14,"complexity_ratio":20926901.0,"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":1119,"base":4},"right_expr":{"type":"numeric_atoms","value":4401,"base":4}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1951,"base":4},"right_expr":{"type":"numeric_atoms","value":6331,"base":4}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":1407,"base":4},"right_expr":{"type":"numeric_atoms","value":1059,"base":4}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1042,"base":4},"right_expr":{"type":"numeric_atoms","value":1216,"base":4}}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":4376,"base":4}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":3707,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2742,"base":4},"right_expr":{"type":"numeric_atoms","value":3365,"base":4}}}}},"used_operators":["JxwMv5le6e","I7sXao9hZE","JclMnS0uGI","V0kx6qeWkN","YSKBFp38Pu","ncHt1X6cMc","Ez1Nq5fNfI","W4YGzv6Whe","P3lXMJvFrc","iA2gmKZ3Wj","kMhfGuqI2H","jBncVCNhdl","g21JL6JxX7","0KMCeP1Jsh"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","z6LnFrNh4i","Tcnh7f0tEr","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":4},{"info":"number node, value=4401","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=4401, 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=1951","layer":4},{"info":"number node, value=6331","layer":4},{"info":"compute binary expreesion, left_input=1951, right_input=6331, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-38562","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-38562, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=67","layer":2},{"info":"number node, value=1407","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1059, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1042","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1216, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2258","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2258, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=28442","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=28442, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=4376","layer":4},{"info":"compute unary expreesion, input=4376, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"number node, value=3707","layer":4},{"info":"compute unary expreesion, input=3707, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=2742","layer":4},{"info":"number node, value=3365","layer":4},{"info":"compute binary expreesion, left_input=2742, right_input=3365, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-24944","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-24944, 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=0, right_input=67, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯101133≳⇉⪩⨒∯1010301)⨔⇊(⪩⨒∯132133⇤⪩⨒∯1202323)⪁⪩⨒∯111333⪬⪩⨒∯100203≁↽≥(⪩⨒∯100102+⪩⨒∯103000))⨼⩣(((⩩⪩⨒∯1010120)⩏)⫲≸⪮((⨭⩧⫛⪩⨒∯321323)⋭≵⪩⨒∯222312≨⪩⨒∯310211))=NaN","reverse_text":"NaN=((⪩⨒∯101133≳⇉⪩⨒∯1010301)⨔⇊(⪩⨒∯132133⇤⪩⨒∯1202323)⪁⪩⨒∯111333⪬⪩⨒∯100203≁↽≥(⪩⨒∯100102+⪩⨒∯103000))⨼⩣(((⩩⪩⨒∯1010120)⩏)⫲≸⪮((⨭⩧⫛⪩⨒∯321323)⋭≵⪩⨒∯222312≨⪩⨒∯310211))","cot":[{"info":"⪩⨒∯101133≳⇉⪩⨒∯1010301=NaN","layer":3},{"info":"⪩⨒∯132133⇤⪩⨒∯1202323=⪩⨒∯-21122202","layer":3},{"info":"NaN⨔⇊⪩⨒∯-21122202=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯111333⪬⪩⨒∯100203=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯100102+⪩⨒∯103000=⪩⨒∯203102","layer":3},{"info":"⪩⨒∯103102≁↽≥⪩⨒∯203102=⪩⨒∯12330122","layer":2},{"info":"⪩⨒∯1003⪁⪩⨒∯12330122=NaN","layer":1},{"info":"⩩⪩⨒∯1010120=NaN","layer":3},{"info":"NaN⩏=⪩⨒∯0","layer":2},{"info":"⨭⩧⫛⪩⨒∯321323=NaN","layer":3},{"info":"⪩⨒∯222312≨⪩⨒∯310211=⪩⨒∯-12011300","layer":3},{"info":"NaN⋭≵⪩⨒∯-12011300=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯0⫲≸⪮⪩⨒∯1003=⪩⨒∯0","layer":1},{"info":"NaN⨼⩣⪩⨒∯0=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"(($5068$∛$5542$)⋹⋡⊁($3762$⋥⋵⩄$5658$))⇻⋧≁($1031$⇤$2608$⨳⩥⨓(⊄⩳↩$7619$))⋥⋵⩄(($2608$⋭≵$5754$)⪢($2460$∩⋅)⪠⩆⊳)","expression":"((⪩⨒∯1033030∛⪩⨒∯1112212)⋹⋡⊁(⪩⨒∯322302⋥⋵⩄⪩⨒∯1120122))⇻⋧≁(⪩⨒∯100013⇤⪩⨒∯220300⨳⩥⨓(⊄⩳↩⪩⨒∯1313003))⋥⋵⩄((⪩⨒∯220300⋭≵⪩⨒∯1121322)⪢(⪩⨒∯212130∩⋅)⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13090,"operation_count":12,"complexity_ratio":1090.8333333333333,"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":5068,"base":4},"right_expr":{"type":"numeric_atoms","value":5542,"base":4}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":3762,"base":4},"right_expr":{"type":"numeric_atoms","value":5658,"base":4}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1031,"base":4},"right_expr":{"type":"numeric_atoms","value":2608,"base":4}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7619,"base":4}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2608,"base":4},"right_expr":{"type":"numeric_atoms","value":5754,"base":4}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"numeric_atoms","value":2460,"base":4}}}}},"used_operators":["7t3wd0Fuz7","jCPkEVoL5K","As8RqfVLgs","w2537kitQq","nCS4ZIUYfx","YSKBFp38Pu","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","jBncVCNhdl","2MzE1hQ0cz"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5068","layer":4},{"info":"number node, value=5542","layer":4},{"info":"compute binary expreesion, left_input=5068, right_input=5542, 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=3762","layer":4},{"info":"number node, value=5658","layer":4},{"info":"compute binary expreesion, left_input=3762, right_input=5658, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=113, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=10458","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=2608","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2608, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-15347","layer":3},{"info":"number node, value=7619","layer":4},{"info":"compute unary expreesion, input=7619, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-22857","layer":3},{"info":"compute binary expreesion, left_input=-15347, right_input=-22857, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7510","layer":2},{"info":"compute binary expreesion, left_input=10458, right_input=-7510, 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=2608","layer":4},{"info":"number node, value=5754","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=5754, 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=2460","layer":4},{"info":"compute unary expreesion, input=2460, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=-2339","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-2339, 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 = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1033030∛⪩⨒∯1112212)⋹⋡⊁(⪩⨒∯322302⋥⋵⩄⪩⨒∯1120122))⇻⋧≁(⪩⨒∯100013⇤⪩⨒∯220300⨳⩥⨓(⊄⩳↩⪩⨒∯1313003))⋥⋵⩄((⪩⨒∯220300⋭≵⪩⨒∯1121322)⪢(⪩⨒∯212130∩⋅)⪠⩆⊳)=NaN","reverse_text":"NaN=((⪩⨒∯1033030∛⪩⨒∯1112212)⋹⋡⊁(⪩⨒∯322302⋥⋵⩄⪩⨒∯1120122))⇻⋧≁(⪩⨒∯100013⇤⪩⨒∯220300⨳⩥⨓(⊄⩳↩⪩⨒∯1313003))⋥⋵⩄((⪩⨒∯220300⋭≵⪩⨒∯1121322)⪢(⪩⨒∯212130∩⋅)⪠⩆⊳)","cot":[{"info":"⪩⨒∯1033030∛⪩⨒∯1112212=⪩⨒∯-22132","layer":3},{"info":"⪩⨒∯322302⋥⋵⩄⪩⨒∯1120122=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯-22132⋹⋡⊁⪩⨒∯1301=⪩⨒∯2203122","layer":2},{"info":"⪩⨒∯100013⇤⪩⨒∯220300=⪩⨒∯-3233303","layer":3},{"info":"⊄⩳↩⪩⨒∯1313003=⪩⨒∯-11211021","layer":3},{"info":"⪩⨒∯-3233303⨳⩥⨓⪩⨒∯-11211021=⪩⨒∯-1311112","layer":2},{"info":"⪩⨒∯2203122⇻⋧≁⪩⨒∯-1311112=⪩⨒∯-12333","layer":1},{"info":"⪩⨒∯220300⋭≵⪩⨒∯1121322=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯212130∩⋅=⪩⨒∯-210203","layer":3},{"info":"⪩⨒∯1003⪢⪩⨒∯-210203=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"⪩⨒∯-12333⋥⋵⩄NaN=NaN","layer":0}]}
{"id":549,"expression_no_base_symbol":"((⇘$1030$)⨂≜($2051$⊢$1864$)⫦⪉(($3662$∴≳≥)∛≔))⫩","expression":"((⇘⪩⨒∯100012)⨂≜(⪩⨒∯200003⊢⪩⨒∯131020)⫦⪉((⪩⨒∯321032∴≳≥)∛≔))⫩","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":182024,"operation_count":7,"complexity_ratio":26003.428571428572,"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":1030,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2051,"base":4},"right_expr":{"type":"numeric_atoms","value":1864,"base":4}}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":3662,"base":4}}}}},"used_operators":["6aG7x05OhS","wscyQdcy20","k1SHOSEABc","MGuIdZPyUC","5twsqlHp2o","mGnSCrte3L","a3N2hFLK0J"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=56182","layer":3},{"info":"number node, value=2051","layer":4},{"info":"number node, value=1864","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=1864, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4346","layer":3},{"info":"compute binary expreesion, left_input=56182, right_input=-4346, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=3662","layer":4},{"info":"compute unary expreesion, input=3662, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=14648","layer":3},{"info":"compute unary expreesion, input=14648, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , 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":4,"result_base":4,"text":"((⇘⪩⨒∯100012)⨂≜(⪩⨒∯200003⊢⪩⨒∯131020)⫦⪉((⪩⨒∯321032∴≳≥)∛≔))⫩=NaN","reverse_text":"NaN=((⇘⪩⨒∯100012)⨂≜(⪩⨒∯200003⊢⪩⨒∯131020)⫦⪉((⪩⨒∯321032∴≳≥)∛≔))⫩","cot":[{"info":"⇘⪩⨒∯100012=⪩⨒∯31231312","layer":3},{"info":"⪩⨒∯200003⊢⪩⨒∯131020=⪩⨒∯-1003322","layer":3},{"info":"⪩⨒∯31231312⨂≜⪩⨒∯-1003322=NaN","layer":2},{"info":"⪩⨒∯321032∴≳≥=⪩⨒∯3210320","layer":3},{"info":"⪩⨒∯3210320∛≔=NaN","layer":2},{"info":"NaN⫦⪉NaN=NaN","layer":1},{"info":"NaN⫩=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"((⫟$2720$≚⊃≕$1307$)∖(⨩∲⋌$7044$↳≱$1698$))⊉↱≁($4732$∴$5578$⇤($1772$⪒⊣⊆$1504$)∩⋅)","expression":"((⫟⪩⨒∯222200≚⊃≕⪩⨒∯110123)∖(⨩∲⋌⪩⨒∯1232010↳≱⪩⨒∯122202))⊉↱≁(⪩⨒∯1021330∴⪩⨒∯1113022⇤(⪩⨒∯123230⪒⊣⊆⪩⨒∯113200)∩⋅)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":404,"operation_count":10,"complexity_ratio":40.4,"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":2720,"base":4},"right_expr":{"type":"numeric_atoms","value":1307,"base":4}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":7044,"base":4},"right_expr":{"type":"numeric_atoms","value":1698,"base":4}}}},"right_expr":{"type":"unary","operator":"∩⋅","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4732,"base":4},"right_expr":{"type":"numeric_atoms","value":5578,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1772,"base":4},"right_expr":{"type":"numeric_atoms","value":1504,"base":4}}}}},"used_operators":["w2P8NbNXyL","tXD093vOjl","z4E1FaHLuy","Bmrmz2XGnR","aSik1wnThz","JwTKLfZU96","2MzE1hQ0cz","YSKBFp38Pu","hrf7POJlIJ","eRqsBgTDFp"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Qy55tPpLXF","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","sdazOOVcIp","W4YGzv6Whe"],"result":"⪩⨒∯-13012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2720","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=1307, 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 = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=706","layer":2},{"info":"number node, value=7044","layer":4},{"info":"number node, value=1698","layer":4},{"info":"compute binary expreesion, left_input=7044, right_input=1698, 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 = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=237","layer":2},{"info":"compute binary expreesion, left_input=706, 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":1},{"info":"number node, value=4732","layer":4},{"info":"number node, value=5578","layer":4},{"info":"compute binary expreesion, left_input=4732, right_input=5578, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11112","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1504, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3544","layer":3},{"info":"compute binary expreesion, left_input=11112, right_input=3544, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-70432","layer":2},{"info":"compute unary expreesion, input=-70432, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=67, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-454","layer":0}],"base":4,"result_base":4,"text":"((⫟⪩⨒∯222200≚⊃≕⪩⨒∯110123)∖(⨩∲⋌⪩⨒∯1232010↳≱⪩⨒∯122202))⊉↱≁(⪩⨒∯1021330∴⪩⨒∯1113022⇤(⪩⨒∯123230⪒⊣⊆⪩⨒∯113200)∩⋅)=⪩⨒∯-13012","reverse_text":"⪩⨒∯-13012=((⫟⪩⨒∯222200≚⊃≕⪩⨒∯110123)∖(⨩∲⋌⪩⨒∯1232010↳≱⪩⨒∯122202))⊉↱≁(⪩⨒∯1021330∴⪩⨒∯1113022⇤(⪩⨒∯123230⪒⊣⊆⪩⨒∯113200)∩⋅)","cot":[{"info":"⪩⨒∯222200≚⊃≕⪩⨒∯110123=⪩⨒∯1003","layer":3},{"info":"⫟⪩⨒∯1003=⪩⨒∯23002","layer":2},{"info":"⪩⨒∯1232010↳≱⪩⨒∯122202=⪩⨒∯0","layer":3},{"info":"⨩∲⋌⪩⨒∯0=⪩⨒∯3231","layer":2},{"info":"⪩⨒∯23002∖⪩⨒∯3231=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1021330∴⪩⨒∯1113022=⪩⨒∯2231220","layer":3},{"info":"⪩⨒∯123230⪒⊣⊆⪩⨒∯113200=⪩⨒∯313120","layer":3},{"info":"⪩⨒∯2231220⇤⪩⨒∯313120=⪩⨒∯-101030200","layer":2},{"info":"⪩⨒∯-101030200∩⋅=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯0⊉↱≁⪩⨒∯1003=⪩⨒∯-13012","layer":0}]}
{"id":551,"expression_no_base_symbol":"(∐⩳⋚(↓⇌$4572$))↼⊘⨖(⊈(↡$3539$))⊋≦⊧((⪸(⨝⨆$1113$))⨵⪆($1219$⪣⫩)⇼⇔∾(⪹$7508$))","expression":"(∐⩳⋚(↓⇌⪩⨒∯1013130))↼⊘⨖(⊈(↡⪩⨒∯313103))⊋≦⊧((⪸(⨝⨆⪩⨒∯101121))⨵⪆(⪩⨒∯103003⪣⫩)⇼⇔∾(⪹⪩⨒∯1311110))","highest_n_order":2,"priority_hierarchical_complexity":10,"normalized_expansion_degree":261,"operation_count":12,"complexity_ratio":21.75,"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":4572,"base":4}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":3539,"base":4}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1113,"base":4}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1219,"base":4}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":7508,"base":4}}}}},"used_operators":["oRDoc9rAEX","bPywburJMS","SL6IHkK8vl","PxpmPgHHJV","RHru8klgy8","MXaNJeIAZ3","2DQ55sFlQl","86A5ENbKR9","bQ67fsrMVf","tifHPKVTfV","iuk5sVOGFA","USyYr0JgAa"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","12rbrZMWeM","xUOZtlo3hN","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","tifHPKVTfV"],"result":"⪩⨒∯3000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4572","layer":4},{"info":"compute unary expreesion, input=4572, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4572","layer":3},{"info":"compute unary expreesion, input=4572, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=671989","layer":2},{"info":"number node, value=3539","layer":4},{"info":"compute unary expreesion, input=3539, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=31851","layer":3},{"info":"compute unary expreesion, input=31851, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-32025","layer":2},{"info":"compute binary expreesion, left_input=671989, right_input=-32025, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-64272","layer":1},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=904","layer":3},{"info":"compute unary expreesion, input=904, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-15159","layer":2},{"info":"number node, value=1219","layer":4},{"info":"compute unary expreesion, input=1219, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=3624","layer":3},{"info":"number node, value=7508","layer":4},{"info":"compute unary expreesion, input=7508, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-7328","layer":3},{"info":"compute binary expreesion, left_input=3624, right_input=-7328, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10952","layer":2},{"info":"compute binary expreesion, left_input=-15159, right_input=-10952, 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=-64272, right_input=160, 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":0}],"base":4,"result_base":4,"text":"(∐⩳⋚(↓⇌⪩⨒∯1013130))↼⊘⨖(⊈(↡⪩⨒∯313103))⊋≦⊧((⪸(⨝⨆⪩⨒∯101121))⨵⪆(⪩⨒∯103003⪣⫩)⇼⇔∾(⪹⪩⨒∯1311110))=⪩⨒∯3000","reverse_text":"⪩⨒∯3000=(∐⩳⋚(↓⇌⪩⨒∯1013130))↼⊘⨖(⊈(↡⪩⨒∯313103))⊋≦⊧((⪸(⨝⨆⪩⨒∯101121))⨵⪆(⪩⨒∯103003⪣⫩)⇼⇔∾(⪹⪩⨒∯1311110))","cot":[{"info":"↓⇌⪩⨒∯1013130=⪩⨒∯1013130","layer":3},{"info":"∐⩳⋚⪩⨒∯1013130=⪩⨒∯2210003311","layer":2},{"info":"↡⪩⨒∯313103=⪩⨒∯13301223","layer":3},{"info":"⊈⪩⨒∯13301223=⪩⨒∯-13310121","layer":2},{"info":"⪩⨒∯2210003311↼⊘⨖⪩⨒∯-13310121=⪩⨒∯-33230100","layer":1},{"info":"⨝⨆⪩⨒∯101121=⪩⨒∯32020","layer":3},{"info":"⪸⪩⨒∯32020=⪩⨒∯-3230313","layer":2},{"info":"⪩⨒∯103003⪣⫩=⪩⨒∯320220","layer":3},{"info":"⪹⪩⨒∯1311110=⪩⨒∯-1302200","layer":3},{"info":"⪩⨒∯320220⇼⇔∾⪩⨒∯-1302200=⪩⨒∯-2223020","layer":2},{"info":"⪩⨒∯-3230313⨵⪆⪩⨒∯-2223020=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯-33230100⊋≦⊧⪩⨒∯2200=⪩⨒∯3000","layer":0}]}
{"id":552,"expression_no_base_symbol":"(⊢≑≆$3096$)⊬⨰($4080$≓∲$2729$)⪮%⊝(∜⨇$2854$)≴⪞⇿($1374$⩦$2826$)⋓(⊖∈(↣≠⋷($3181$⫑%∭)))","expression":"(⊢≑≆⪩⨒∯300120)⊬⨰(⪩⨒∯333300≓∲⪩⨒∯222221)⪮%⊝(∜⨇⪩⨒∯230212)≴⪞⇿(⪩⨒∯111132⩦⪩⨒∯230022)⋓(⊖∈(↣≠⋷(⪩⨒∯301231⫑%∭)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1208,"operation_count":11,"complexity_ratio":109.81818181818181,"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":3096,"base":4}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4080,"base":4},"right_expr":{"type":"numeric_atoms","value":2729,"base":4}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2854,"base":4}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":1374,"base":4},"right_expr":{"type":"numeric_atoms","value":2826,"base":4}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⫑%∭","unary_expr":{"type":"numeric_atoms","value":3181,"base":4}}}}},"used_operators":["T2fj7uvVaJ","IWmyXbctLI","s3Fd5m9Dh2","27wFxooxGf","s1XTVnmDOJ","lvlrscuwVU","uFPyJr306J","0kmYd0q39Y","YFxL8Sc2Zy","Asc51vEJeQ","xUx7qlDO4z"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","XhwjNDsVaA","AHs5Up7iyr","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3096","layer":4},{"info":"compute unary expreesion, input=3096, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=12836","layer":3},{"info":"number node, value=4080","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=4080, right_input=2729, 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=41583","layer":3},{"info":"compute binary expreesion, left_input=12836, right_input=41583, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=178112","layer":2},{"info":"number node, value=2854","layer":4},{"info":"compute unary expreesion, input=2854, 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=1374","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=2826, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=2748","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2748, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=178112, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=3181","layer":4},{"info":"compute unary expreesion, input=3181, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷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 binary expreesion, left_input=nan, 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":4,"result_base":4,"text":"(⊢≑≆⪩⨒∯300120)⊬⨰(⪩⨒∯333300≓∲⪩⨒∯222221)⪮%⊝(∜⨇⪩⨒∯230212)≴⪞⇿(⪩⨒∯111132⩦⪩⨒∯230022)⋓(⊖∈(↣≠⋷(⪩⨒∯301231⫑%∭)))=NaN","reverse_text":"NaN=(⊢≑≆⪩⨒∯300120)⊬⨰(⪩⨒∯333300≓∲⪩⨒∯222221)⪮%⊝(∜⨇⪩⨒∯230212)≴⪞⇿(⪩⨒∯111132⩦⪩⨒∯230022)⋓(⊖∈(↣≠⋷(⪩⨒∯301231⫑%∭)))","cot":[{"info":"⊢≑≆⪩⨒∯300120=⪩⨒∯3020210","layer":3},{"info":"⪩⨒∯333300≓∲⪩⨒∯222221=⪩⨒∯22021233","layer":3},{"info":"⪩⨒∯3020210⊬⨰⪩⨒∯22021233=⪩⨒∯223133000","layer":2},{"info":"∜⨇⪩⨒∯230212=NaN","layer":3},{"info":"⪩⨒∯111132⩦⪩⨒∯230022=⪩⨒∯222330","layer":3},{"info":"NaN≴⪞⇿⪩⨒∯222330=NaN","layer":2},{"info":"⪩⨒∯223133000⪮%⊝NaN=NaN","layer":1},{"info":"⪩⨒∯301231⫑%∭=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"⊖∈NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":553,"expression_no_base_symbol":"((⨑⩽⪐($4291$⪉⨛$1804$))⫸⊐($8952$+⇶⊼$4840$)⪮%⊝($1194$⇴$2686$))⇴((⊵⊁$2824$)⊉↱≁$1296$⨐$1907$)⫞⩸⩒($6896$⨪↰⇹$1811$⫔⩽⩺(⫇$3748$))","expression":"((⨑⩽⪐(⪩⨒∯1003003⪉⨛⪩⨒∯130030))⫸⊐(⪩⨒∯2023320+⇶⊼⪩⨒∯1023220)⪮%⊝(⪩⨒∯102222⇴⪩⨒∯221332))⇴((⊵⊁⪩⨒∯230020)⊉↱≁⪩⨒∯110100⨐⪩⨒∯131303)⫞⩸⩒(⪩⨒∯1223300⨪↰⇹⪩⨒∯130103⫔⩽⩺(⫇⪩⨒∯322210))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":7069,"operation_count":14,"complexity_ratio":504.92857142857144,"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":4291,"base":4},"right_expr":{"type":"numeric_atoms","value":1804,"base":4}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8952,"base":4},"right_expr":{"type":"numeric_atoms","value":4840,"base":4}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1194,"base":4},"right_expr":{"type":"numeric_atoms","value":2686,"base":4}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2824,"base":4}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1296,"base":4},"right_expr":{"type":"numeric_atoms","value":1907,"base":4}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6896,"base":4},"right_expr":{"type":"numeric_atoms","value":1811,"base":4}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":3748,"base":4}}}}},"used_operators":["4JB6nKBMSY","mqXw5SEYmG","AF7qkfDlqP","EWw2JM7wp4","IWmyXbctLI","TpPTUOHfaN","XGcMNugi78","w2P8NbNXyL","AvED76WdY7","Noe24qw2ks","i9eR4S00cU","tmPS8pqC7x","YjI8oCXuph"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","uBihLCJcMX","k8jYdgA6NY","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","Tw270M8GLb","fu6greOZ01","rJVOvQCfKK","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI"],"result":"⪩⨒∯1112121232","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4291","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=4291, right_input=1804, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=11284","layer":3},{"info":"compute unary expreesion, input=11284, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-11011","layer":2},{"info":"number node, value=8952","layer":4},{"info":"number node, value=4840","layer":4},{"info":"compute binary expreesion, left_input=8952, right_input=4840, 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=1194","layer":4},{"info":"number node, value=2686","layer":4},{"info":"compute binary expreesion, left_input=1194, right_input=2686, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=12150","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12150, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-11011, 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":1},{"info":"number node, value=2824","layer":4},{"info":"compute unary expreesion, input=2824, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=15874","layer":3},{"info":"number node, value=1296","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1907, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2592","layer":3},{"info":"compute binary expreesion, left_input=15874, right_input=-2592, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=174240","layer":2},{"info":"number node, value=6896","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=6896, right_input=1811, 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=6896","layer":3},{"info":"number node, value=3748","layer":4},{"info":"compute unary expreesion, input=3748, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-6282","layer":3},{"info":"compute binary expreesion, left_input=6896, right_input=-6282, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=174240, 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=174240","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=174240, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=353902","layer":0}],"base":4,"result_base":4,"text":"((⨑⩽⪐(⪩⨒∯1003003⪉⨛⪩⨒∯130030))⫸⊐(⪩⨒∯2023320+⇶⊼⪩⨒∯1023220)⪮%⊝(⪩⨒∯102222⇴⪩⨒∯221332))⇴((⊵⊁⪩⨒∯230020)⊉↱≁⪩⨒∯110100⨐⪩⨒∯131303)⫞⩸⩒(⪩⨒∯1223300⨪↰⇹⪩⨒∯130103⫔⩽⩺(⫇⪩⨒∯322210))=⪩⨒∯1112121232","reverse_text":"⪩⨒∯1112121232=((⨑⩽⪐(⪩⨒∯1003003⪉⨛⪩⨒∯130030))⫸⊐(⪩⨒∯2023320+⇶⊼⪩⨒∯1023220)⪮%⊝(⪩⨒∯102222⇴⪩⨒∯221332))⇴((⊵⊁⪩⨒∯230020)⊉↱≁⪩⨒∯110100⨐⪩⨒∯131303)⫞⩸⩒(⪩⨒∯1223300⨪↰⇹⪩⨒∯130103⫔⩽⩺(⫇⪩⨒∯322210))","cot":[{"info":"⪩⨒∯1003003⪉⨛⪩⨒∯130030=⪩⨒∯2300110","layer":3},{"info":"⨑⩽⪐⪩⨒∯2300110=⪩⨒∯-2230003","layer":2},{"info":"⪩⨒∯2023320+⇶⊼⪩⨒∯1023220=NaN","layer":3},{"info":"⪩⨒∯102222⇴⪩⨒∯221332=⪩⨒∯2331312","layer":3},{"info":"NaN⪮%⊝⪩⨒∯2331312=NaN","layer":2},{"info":"⪩⨒∯-2230003⫸⊐NaN=⪩⨒∯33020","layer":1},{"info":"⊵⊁⪩⨒∯230020=⪩⨒∯3320002","layer":3},{"info":"⪩⨒∯110100⨐⪩⨒∯131303=⪩⨒∯-220200","layer":3},{"info":"⪩⨒∯3320002⊉↱≁⪩⨒∯-220200=⪩⨒∯222202200","layer":2},{"info":"⪩⨒∯1223300⨪↰⇹⪩⨒∯130103=⪩⨒∯1223300","layer":3},{"info":"⫇⪩⨒∯322210=⪩⨒∯-1202022","layer":3},{"info":"⪩⨒∯1223300⫔⩽⩺⪩⨒∯-1202022=NaN","layer":2},{"info":"⪩⨒∯222202200⫞⩸⩒NaN=⪩⨒∯222202200","layer":1},{"info":"⪩⨒∯33020⇴⪩⨒∯222202200=⪩⨒∯1112121232","layer":0}]}
{"id":554,"expression_no_base_symbol":"(⇘($3675$⫽⇹≛))⩘($9337$⪘⫢$2816$)⩍⋽⫝̸($1794$⩌⋺$1042$)⫔⩽⩺($3508$⨶)⨂≜($7608$⪨≂$1313$)∛($1004$⨟⋌⩍$7214$∲⫓$2753$⨂≜$1850$)","expression":"(⇘(⪩⨒∯321123⫽⇹≛))⩘(⪩⨒∯2101321⪘⫢⪩⨒∯230000)⩍⋽⫝̸(⪩⨒∯130002⩌⋺⪩⨒∯100102)⫔⩽⩺(⪩⨒∯312310⨶)⨂≜(⪩⨒∯1312320⪨≂⪩⨒∯110201)∛(⪩⨒∯33230⨟⋌⩍⪩⨒∯1300232∲⫓⪩⨒∯223001⨂≜⪩⨒∯130322)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7559050,"operation_count":14,"complexity_ratio":539932.1428571428,"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":3675,"base":4}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":9337,"base":4},"right_expr":{"type":"numeric_atoms","value":2816,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1794,"base":4},"right_expr":{"type":"numeric_atoms","value":1042,"base":4}}}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":3508,"base":4}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7608,"base":4},"right_expr":{"type":"numeric_atoms","value":1313,"base":4}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1004,"base":4},"right_expr":{"type":"numeric_atoms","value":7214,"base":4}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":2753,"base":4},"right_expr":{"type":"numeric_atoms","value":1850,"base":4}}}}},"used_operators":["i9eR4S00cU","cHh1gJQ2o6","MGuIdZPyUC","NNaDxxp6OQ","BiWNJpBvwn","oacrs7FA3X","g7Hmc5v1ko","w2537kitQq","k1SHOSEABc","rFxw8gIMmB","sdazOOVcIp","i8ToyICDmI","rGHVDoGpnC"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","Ph9nP6C5qx","xUOZtlo3hN","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","f6k1SAg4EE","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3675","layer":4},{"info":"compute unary expreesion, input=3675, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"compute unary expreesion, input=272, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-2514703","layer":2},{"info":"number node, value=9337","layer":4},{"info":"number node, value=2816","layer":4},{"info":"compute binary expreesion, left_input=9337, right_input=2816, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=18550","layer":3},{"info":"number node, value=1794","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=1042, 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=-2957","layer":3},{"info":"compute binary expreesion, left_input=18550, right_input=-2957, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=21034","layer":2},{"info":"compute binary expreesion, left_input=-2514703, right_input=21034, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=3508","layer":4},{"info":"compute unary expreesion, input=3508, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=5270","layer":3},{"info":"number node, value=7608","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=7608, right_input=1313, 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=12692","layer":3},{"info":"compute binary expreesion, left_input=5270, right_input=12692, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1004","layer":4},{"info":"number node, value=7214","layer":4},{"info":"compute binary expreesion, left_input=1004, right_input=7214, 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=2753","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=1850, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', 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 binary expreesion, left_input=160, right_input=67, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇘(⪩⨒∯321123⫽⇹≛))⩘(⪩⨒∯2101321⪘⫢⪩⨒∯230000)⩍⋽⫝̸(⪩⨒∯130002⩌⋺⪩⨒∯100102)⫔⩽⩺(⪩⨒∯312310⨶)⨂≜(⪩⨒∯1312320⪨≂⪩⨒∯110201)∛(⪩⨒∯33230⨟⋌⩍⪩⨒∯1300232∲⫓⪩⨒∯223001⨂≜⪩⨒∯130322)=NaN","reverse_text":"NaN=(⇘(⪩⨒∯321123⫽⇹≛))⩘(⪩⨒∯2101321⪘⫢⪩⨒∯230000)⩍⋽⫝̸(⪩⨒∯130002⩌⋺⪩⨒∯100102)⫔⩽⩺(⪩⨒∯312310⨶)⨂≜(⪩⨒∯1312320⪨≂⪩⨒∯110201)∛(⪩⨒∯33230⨟⋌⩍⪩⨒∯1300232∲⫓⪩⨒∯223001⨂≜⪩⨒∯130322)","cot":[{"info":"⪩⨒∯321123⫽⇹≛=⪩⨒∯10100","layer":3},{"info":"⇘⪩⨒∯10100=⪩⨒∯-21211330033","layer":2},{"info":"⪩⨒∯2101321⪘⫢⪩⨒∯230000=⪩⨒∯10201312","layer":3},{"info":"⪩⨒∯130002⩌⋺⪩⨒∯100102=⪩⨒∯-232031","layer":3},{"info":"⪩⨒∯10201312⩍⋽⫝̸⪩⨒∯-232031=⪩⨒∯11020222","layer":2},{"info":"⪩⨒∯-21211330033⩘⪩⨒∯11020222=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯312310⨶=⪩⨒∯1102112","layer":3},{"info":"⪩⨒∯1312320⪨≂⪩⨒∯110201=⪩⨒∯3012110","layer":3},{"info":"⪩⨒∯1102112⨂≜⪩⨒∯3012110=NaN","layer":2},{"info":"⪩⨒∯33230⨟⋌⩍⪩⨒∯1300232=NaN","layer":3},{"info":"⪩⨒∯223001⨂≜⪩⨒∯130322=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"NaN∛NaN=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯2200⫔⩽⩺⪩⨒∯1003=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"(⫵↿(($1306$⩱)≳⇉(⊖$1466$)))⨽($2182$⋭≵$2369$∲⫓(⩪∧⨌$2125$))⩺⪪($1447$∀⇚≩$1928$)⨚($7439$≧⫂∧$1250$)","expression":"(⫵↿((⪩⨒∯110122⩱)≳⇉(⊖⪩⨒∯112322)))⨽(⪩⨒∯202012⋭≵⪩⨒∯211001∲⫓(⩪∧⨌⪩⨒∯201031))⩺⪪(⪩⨒∯112213∀⇚≩⪩⨒∯132020)⨚(⪩⨒∯1310033≧⫂∧⪩⨒∯103202)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10607,"operation_count":12,"complexity_ratio":883.9166666666666,"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":1306,"base":4}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":1466,"base":4}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2182,"base":4},"right_expr":{"type":"numeric_atoms","value":2369,"base":4}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2125,"base":4}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1447,"base":4},"right_expr":{"type":"numeric_atoms","value":1928,"base":4}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7439,"base":4},"right_expr":{"type":"numeric_atoms","value":1250,"base":4}}}}},"used_operators":["8HhzD0ZcuI","ivGwdmUAux","V0kx6qeWkN","uyq1hVkAcj","U6pG0PXrV3","uvdQJvN4PV","i8ToyICDmI","jBncVCNhdl","6iOiAJX1F8","nREPSIbpBE","LRNGc0VcxI","Ph9nP6C5qx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","W4YGzv6Whe","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","BjRHVeLaeN","12rbrZMWeM","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1306","layer":4},{"info":"compute unary expreesion, input=1306, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-8086","layer":3},{"info":"number node, value=1466","layer":4},{"info":"compute unary expreesion, input=1466, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-8086, right_input=0, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=-21876","layer":2},{"info":"compute unary expreesion, input=-21876, 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=2182","layer":4},{"info":"number node, value=2369","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=2369, 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=2125","layer":4},{"info":"compute unary expreesion, input=2125, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=21250","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=21250, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1447","layer":4},{"info":"number node, value=1928","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=1928, 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=7439","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=7439, right_input=1250, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=777","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=777, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⫵↿((⪩⨒∯110122⩱)≳⇉(⊖⪩⨒∯112322)))⨽(⪩⨒∯202012⋭≵⪩⨒∯211001∲⫓(⩪∧⨌⪩⨒∯201031))⩺⪪(⪩⨒∯112213∀⇚≩⪩⨒∯132020)⨚(⪩⨒∯1310033≧⫂∧⪩⨒∯103202)=NaN","reverse_text":"NaN=(⫵↿((⪩⨒∯110122⩱)≳⇉(⊖⪩⨒∯112322)))⨽(⪩⨒∯202012⋭≵⪩⨒∯211001∲⫓(⩪∧⨌⪩⨒∯201031))⩺⪪(⪩⨒∯112213∀⇚≩⪩⨒∯132020)⨚(⪩⨒∯1310033≧⫂∧⪩⨒∯103202)","cot":[{"info":"⪩⨒∯110122⩱=⪩⨒∯-1332112","layer":3},{"info":"⊖⪩⨒∯112322=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1332112≳⇉⪩⨒∯0=⪩⨒∯-11111310","layer":2},{"info":"⫵↿⪩⨒∯-11111310=⪩⨒∯2021","layer":1},{"info":"⪩⨒∯202012⋭≵⪩⨒∯211001=⪩⨒∯1003","layer":3},{"info":"⩪∧⨌⪩⨒∯201031=⪩⨒∯11030002","layer":3},{"info":"⪩⨒∯1003∲⫓⪩⨒∯11030002=⪩⨒∯0","layer":2},{"info":"⪩⨒∯112213∀⇚≩⪩⨒∯132020=NaN","layer":3},{"info":"⪩⨒∯1310033≧⫂∧⪩⨒∯103202=⪩⨒∯30021","layer":3},{"info":"NaN⨚⪩⨒∯30021=NaN","layer":2},{"info":"⪩⨒∯0⩺⪪NaN=NaN","layer":1},{"info":"⪩⨒∯2021⨽NaN=NaN","layer":0}]}
{"id":556,"expression_no_base_symbol":"(($2555$⨫⇇↔$3636$)≨(⊈$3630$))∳⫺(⩰(≘$4737$))≨((⨴⫝$4266$)⫲≸⪮(∓⪦$7000$)⪭≯($3432$≃⋄)→⨶⪴$5578$⨂≜$1989$)","expression":"((⪩⨒∯213323⨫⇇↔⪩⨒∯320310)≨(⊈⪩⨒∯320232))∳⫺(⩰(≘⪩⨒∯1022001))≨((⨴⫝⪩⨒∯1002222)⫲≸⪮(∓⪦⪩⨒∯1231120)⪭≯(⪩⨒∯311220≃⋄)→⨶⪴⪩⨒∯1113022⨂≜⪩⨒∯133011)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":14108,"operation_count":14,"complexity_ratio":1007.7142857142857,"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":4},"right_expr":{"type":"numeric_atoms","value":3636,"base":4}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3630,"base":4}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4737,"base":4}}}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":4266,"base":4}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":7000,"base":4}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"numeric_atoms","value":3432,"base":4}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":5578,"base":4},"right_expr":{"type":"numeric_atoms","value":1989,"base":4}}}}},"used_operators":["0KMCeP1Jsh","AzXXKTstlj","LXhwmt4mBO","RHru8klgy8","WkeUrDK8WX","tcjXMdvYtA","XAx5wpdLa6","P3lXMJvFrc","SVb2v531z1","D309nIvmXG","bF6eod5Gvf","aN9a90urxU","k1SHOSEABc"],"dependent_operators":["jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","12rbrZMWeM","xUOZtlo3hN","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","8w2t5hMYqp","9FxExcQeMw","uFcxV4UQCh","jLgFTUHLKL","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"⪩⨒∯102120","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2555","layer":4},{"info":"number node, value=3636","layer":4},{"info":"compute binary expreesion, left_input=2555, right_input=3636, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=3630","layer":4},{"info":"compute unary expreesion, input=3630, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3804","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=-3804, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1710","layer":2},{"info":"number node, value=4737","layer":4},{"info":"compute unary expreesion, input=4737, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=10445869","layer":3},{"info":"compute unary expreesion, input=10445869, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-10446869","layer":2},{"info":"compute binary expreesion, left_input=1710, right_input=-10446869, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"number node, value=4266","layer":4},{"info":"compute unary expreesion, input=4266, 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=7000","layer":4},{"info":"compute unary expreesion, input=7000, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=6592","layer":3},{"info":"compute binary expreesion, left_input=2828198, right_input=6592, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=nan","layer":2},{"info":"number node, value=3432","layer":4},{"info":"compute unary expreesion, input=3432, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":3},{"info":"number node, value=5578","layer":4},{"info":"number node, value=1989","layer":4},{"info":"compute binary expreesion, left_input=5578, right_input=1989, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=764, right_input=nan, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1176","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯213323⨫⇇↔⪩⨒∯320310)≨(⊈⪩⨒∯320232))∳⫺(⩰(≘⪩⨒∯1022001))≨((⨴⫝⪩⨒∯1002222)⫲≸⪮(∓⪦⪩⨒∯1231120)⪭≯(⪩⨒∯311220≃⋄)→⨶⪴⪩⨒∯1113022⨂≜⪩⨒∯133011)=⪩⨒∯102120","reverse_text":"⪩⨒∯102120=((⪩⨒∯213323⨫⇇↔⪩⨒∯320310)≨(⊈⪩⨒∯320232))∳⫺(⩰(≘⪩⨒∯1022001))≨((⨴⫝⪩⨒∯1002222)⫲≸⪮(∓⪦⪩⨒∯1231120)⪭≯(⪩⨒∯311220≃⋄)→⨶⪴⪩⨒∯1113022⨂≜⪩⨒∯133011)","cot":[{"info":"⪩⨒∯213323⨫⇇↔⪩⨒∯320310=⪩⨒∯-20033","layer":3},{"info":"⊈⪩⨒∯320232=⪩⨒∯-323130","layer":3},{"info":"⪩⨒∯-20033≨⪩⨒∯-323130=⪩⨒∯122232","layer":2},{"info":"≘⪩⨒∯1022001=⪩⨒∯213312100231","layer":3},{"info":"⩰⪩⨒∯213312100231=⪩⨒∯-213312200111","layer":2},{"info":"⪩⨒∯122232∳⫺⪩⨒∯-213312200111=⪩⨒∯-10010","layer":1},{"info":"⨴⫝⪩⨒∯1002222=⪩⨒∯22302132212","layer":3},{"info":"∓⪦⪩⨒∯1231120=⪩⨒∯1213000","layer":3},{"info":"⪩⨒∯22302132212⫲≸⪮⪩⨒∯1213000=NaN","layer":2},{"info":"⪩⨒∯311220≃⋄=⪩⨒∯23330","layer":3},{"info":"⪩⨒∯1113022⨂≜⪩⨒∯133011=NaN","layer":3},{"info":"⪩⨒∯23330→⨶⪴NaN=NaN","layer":2},{"info":"NaN⪭≯NaN=NaN","layer":1},{"info":"⪩⨒∯-10010≨NaN=⪩⨒∯102120","layer":0}]}
{"id":557,"expression_no_base_symbol":"≻⋜(⊗($4675$/$1642$))↞⋁($1770$⨥⫆$4431$⋷$1983$⫸⊐$1338$)","expression":"≻⋜(⊗(⪩⨒∯1021003/⪩⨒∯121222))↞⋁(⪩⨒∯123222⨥⫆⪩⨒∯1011033⋷⪩⨒∯132333⫸⊐⪩⨒∯110322)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":273,"operation_count":7,"complexity_ratio":39.0,"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":4675,"base":4},"right_expr":{"type":"numeric_atoms","value":1642,"base":4}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1770,"base":4},"right_expr":{"type":"numeric_atoms","value":4431,"base":4}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1983,"base":4},"right_expr":{"type":"numeric_atoms","value":1338,"base":4}}}}},"used_operators":["3tj9sqzovi","RqrPlJkxDo","RhiyfpczSx","XhwjNDsVaA","23Mk6UjR3U","yXekIHxTD4","mqXw5SEYmG"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4675","layer":4},{"info":"number node, value=1642","layer":4},{"info":"compute binary expreesion, left_input=4675, right_input=1642, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=378","layer":2},{"info":"number node, value=1770","layer":4},{"info":"number node, value=4431","layer":4},{"info":"compute binary expreesion, left_input=1770, right_input=4431, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=8738","layer":3},{"info":"number node, value=1983","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1983, right_input=1338, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5227","layer":3},{"info":"compute binary expreesion, left_input=8738, right_input=5227, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1716","layer":2},{"info":"compute binary expreesion, left_input=378, right_input=1716, 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 = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"≻⋜(⊗(⪩⨒∯1021003/⪩⨒∯121222))↞⋁(⪩⨒∯123222⨥⫆⪩⨒∯1011033⋷⪩⨒∯132333⫸⊐⪩⨒∯110322)=NaN","reverse_text":"NaN=≻⋜(⊗(⪩⨒∯1021003/⪩⨒∯121222))↞⋁(⪩⨒∯123222⨥⫆⪩⨒∯1011033⋷⪩⨒∯132333⫸⊐⪩⨒∯110322)","cot":[{"info":"⪩⨒∯1021003/⪩⨒∯121222=⪩⨒∯2","layer":3},{"info":"⊗⪩⨒∯2=⪩⨒∯11322","layer":2},{"info":"⪩⨒∯123222⨥⫆⪩⨒∯1011033=⪩⨒∯2020202","layer":3},{"info":"⪩⨒∯132333⫸⊐⪩⨒∯110322=⪩⨒∯1101223","layer":3},{"info":"⪩⨒∯2020202⋷⪩⨒∯1101223=⪩⨒∯122310","layer":2},{"info":"⪩⨒∯11322↞⋁⪩⨒∯122310=NaN","layer":1},{"info":"≻⋜NaN=NaN","layer":0}]}
{"id":558,"expression_no_base_symbol":"((⊽(≤/$3291$))⩘($1223$⫉⨲⊜$6040$⩷∴$1862$≌$2051$))⨿(((∷≠$4205$)⫩⊇)⇋≉)","expression":"((⊽(≤/⪩⨒∯303123))⩘(⪩⨒∯103013⫉⨲⊜⪩⨒∯1132120⩷∴⪩⨒∯131012≌⪩⨒∯200003))⨿(((∷≠⪩⨒∯1001231)⫩⊇)⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2538,"operation_count":10,"complexity_ratio":253.8,"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":3291,"base":4}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1223,"base":4},"right_expr":{"type":"numeric_atoms","value":6040,"base":4}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1862,"base":4},"right_expr":{"type":"numeric_atoms","value":2051,"base":4}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":4205,"base":4}}}}},"used_operators":["abYXlopdE0","cHh1gJQ2o6","QxG7OkqoLX","eLAdDNolq6","9FxExcQeMw","WhqkvtTD3t","lyWz822IDG","XIabStNQrY","BjRHVeLaeN","QiR2Oyf5Xj"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z","rysDP5nf3Z","eewbuw0ToL","zVYPLywUTj","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","7j4O788W3g"],"result":"⪩⨒∯-10333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3291","layer":4},{"info":"compute unary expreesion, input=3291, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2807","layer":3},{"info":"compute unary expreesion, input=-2807, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=0","layer":2},{"info":"number node, value=1223","layer":4},{"info":"number node, value=6040","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=6040, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1862","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=1862, right_input=2051, 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=0, right_input=nan, 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=0, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":1},{"info":"number node, value=4205","layer":4},{"info":"compute unary expreesion, input=4205, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=4205","layer":3},{"info":"compute unary expreesion, input=4205, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4163","layer":2},{"info":"compute unary expreesion, input=-4163, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-8424","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-8424, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":0}],"base":4,"result_base":4,"text":"((⊽(≤/⪩⨒∯303123))⩘(⪩⨒∯103013⫉⨲⊜⪩⨒∯1132120⩷∴⪩⨒∯131012≌⪩⨒∯200003))⨿(((∷≠⪩⨒∯1001231)⫩⊇)⇋≉)=⪩⨒∯-10333","reverse_text":"⪩⨒∯-10333=((⊽(≤/⪩⨒∯303123))⩘(⪩⨒∯103013⫉⨲⊜⪩⨒∯1132120⩷∴⪩⨒∯131012≌⪩⨒∯200003))⨿(((∷≠⪩⨒∯1001231)⫩⊇)⇋≉)","cot":[{"info":"≤/⪩⨒∯303123=⪩⨒∯-223313","layer":3},{"info":"⊽⪩⨒∯-223313=⪩⨒∯0","layer":2},{"info":"⪩⨒∯103013⫉⨲⊜⪩⨒∯1132120=⪩⨒∯0","layer":3},{"info":"⪩⨒∯131012≌⪩⨒∯200003=NaN","layer":3},{"info":"⪩⨒∯0⩷∴NaN=NaN","layer":2},{"info":"⪩⨒∯0⩘NaN=⪩⨒∯2200","layer":1},{"info":"∷≠⪩⨒∯1001231=⪩⨒∯1001231","layer":3},{"info":"⪩⨒∯1001231⫩⊇=⪩⨒∯-1001003","layer":2},{"info":"⪩⨒∯-1001003⇋≉=⪩⨒∯-2003220","layer":1},{"info":"⪩⨒∯2200⨿⪩⨒∯-2003220=⪩⨒∯-10333","layer":0}]}
{"id":559,"expression_no_base_symbol":"(⇠$7159$)≴⪞⇿($1063$∇⊂⋱$2166$)↳∿⪆(($1428$⋭≵$1192$)∼($1741$⊋≦⊧$1393$))⇴((($2564$⫌⩉⩟$1532$)⪐)⊫∞)","expression":"(⇠⪩⨒∯1233313)≴⪞⇿(⪩⨒∯100213∇⊂⋱⪩⨒∯201312)↳∿⪆((⪩⨒∯112110⋭≵⪩⨒∯102220)∼(⪩⨒∯123031⊋≦⊧⪩⨒∯111301))⇴(((⪩⨒∯220010⫌⩉⩟⪩⨒∯113330)⪐)⊫∞)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33959,"operation_count":11,"complexity_ratio":3087.181818181818,"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":7159,"base":4}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1063,"base":4},"right_expr":{"type":"numeric_atoms","value":2166,"base":4}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1428,"base":4},"right_expr":{"type":"numeric_atoms","value":1192,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1741,"base":4},"right_expr":{"type":"numeric_atoms","value":1393,"base":4}}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":2564,"base":4},"right_expr":{"type":"numeric_atoms","value":1532,"base":4}}}}},"used_operators":["4JB6nKBMSY","Cw4SuJJGHO","lvlrscuwVU","18saOjeKKm","nhYeJWJD5X","DyGG3AbaNP","jBncVCNhdl","oRDoc9rAEX","pABnYW3G3E","eH2TOUuTDT","XIIwhv8d0m"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7159","layer":4},{"info":"compute unary expreesion, input=7159, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-6917","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2166, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1580","layer":3},{"info":"compute binary expreesion, left_input=-6917, right_input=1580, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-87504","layer":2},{"info":"number node, value=1428","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=1192, 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=1741","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=1393, 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=-2546","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-2546, 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=-87504, right_input=nan, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=2564","layer":4},{"info":"number node, value=1532","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=1532, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute unary expreesion, input=-50, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-100","layer":2},{"info":"compute unary expreesion, input=-100, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇠⪩⨒∯1233313)≴⪞⇿(⪩⨒∯100213∇⊂⋱⪩⨒∯201312)↳∿⪆((⪩⨒∯112110⋭≵⪩⨒∯102220)∼(⪩⨒∯123031⊋≦⊧⪩⨒∯111301))⇴(((⪩⨒∯220010⫌⩉⩟⪩⨒∯113330)⪐)⊫∞)=NaN","reverse_text":"NaN=(⇠⪩⨒∯1233313)≴⪞⇿(⪩⨒∯100213∇⊂⋱⪩⨒∯201312)↳∿⪆((⪩⨒∯112110⋭≵⪩⨒∯102220)∼(⪩⨒∯123031⊋≦⊧⪩⨒∯111301))⇴(((⪩⨒∯220010⫌⩉⩟⪩⨒∯113330)⪐)⊫∞)","cot":[{"info":"⇠⪩⨒∯1233313=⪩⨒∯-1230011","layer":3},{"info":"⪩⨒∯100213∇⊂⋱⪩⨒∯201312=⪩⨒∯120230","layer":3},{"info":"⪩⨒∯-1230011≴⪞⇿⪩⨒∯120230=⪩⨒∯-111113100","layer":2},{"info":"⪩⨒∯112110⋭≵⪩⨒∯102220=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯123031⊋≦⊧⪩⨒∯111301=⪩⨒∯-213302","layer":3},{"info":"⪩⨒∯1003∼⪩⨒∯-213302=NaN","layer":2},{"info":"⪩⨒∯-111113100↳∿⪆NaN=NaN","layer":1},{"info":"⪩⨒∯220010⫌⩉⩟⪩⨒∯113330=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯-302⪐=⪩⨒∯-1210","layer":2},{"info":"⪩⨒∯-1210⊫∞=⪩⨒∯0","layer":1},{"info":"NaN⇴⪩⨒∯0=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"((↴⪽⋼$1104$⋅⇍$3109$)↛⩡⫤)⨼⩣(($5238$⩣⫁∢$6117$⫳≱↱(∟⋨$3147$))⊲⩕⊾(($4631$∕⩚$1317$)∀⇚≩($7913$⇉⇉)))","expression":"((↴⪽⋼⪩⨒∯101100⋅⇍⪩⨒∯300211)↛⩡⫤)⨼⩣((⪩⨒∯1101312⩣⫁∢⪩⨒∯1133211⫳≱↱(∟⋨⪩⨒∯301023))⊲⩕⊾((⪩⨒∯1020113∕⩚⪩⨒∯110211)∀⇚≩(⪩⨒∯1323221⇉⇉)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":167106,"operation_count":11,"complexity_ratio":15191.454545454546,"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":1104,"base":4},"right_expr":{"type":"numeric_atoms","value":3109,"base":4}}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":5238,"base":4},"right_expr":{"type":"numeric_atoms","value":6117,"base":4}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":3147,"base":4}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":4631,"base":4},"right_expr":{"type":"numeric_atoms","value":1317,"base":4}},"right_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"numeric_atoms","value":7913,"base":4}}}}},"used_operators":["JxwMv5le6e","FU0Cs4j7VP","5TUYCnJO6w","AdZkA7nFnk","DmTXOeWf9t","ZvLB05nZmT","JDUIKTTSIa","ctOc4cKSDt","LRNGc0VcxI","z9ffQ9n5Zr","diKm42VcIt"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","tmPS8pqC7x","X99M06cbEe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1104","layer":4},{"info":"number node, value=3109","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=3109, 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 = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"compute unary expreesion, input=35822, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-5405211","layer":1},{"info":"number node, value=5238","layer":4},{"info":"number node, value=6117","layer":4},{"info":"compute binary expreesion, left_input=5238, right_input=6117, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-10315","layer":3},{"info":"number node, value=3147","layer":4},{"info":"compute unary expreesion, input=3147, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2663","layer":3},{"info":"compute binary expreesion, left_input=-10315, right_input=-2663, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":2},{"info":"number node, value=4631","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=4631, right_input=1317, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-4634","layer":3},{"info":"number node, value=7913","layer":4},{"info":"compute unary expreesion, input=7913, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=-523340","layer":3},{"info":"compute binary expreesion, left_input=-4634, right_input=-523340, 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=-2802, 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=-5405211, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((↴⪽⋼⪩⨒∯101100⋅⇍⪩⨒∯300211)↛⩡⫤)⨼⩣((⪩⨒∯1101312⩣⫁∢⪩⨒∯1133211⫳≱↱(∟⋨⪩⨒∯301023))⊲⩕⊾((⪩⨒∯1020113∕⩚⪩⨒∯110211)∀⇚≩(⪩⨒∯1323221⇉⇉)))=NaN","reverse_text":"NaN=((↴⪽⋼⪩⨒∯101100⋅⇍⪩⨒∯300211)↛⩡⫤)⨼⩣((⪩⨒∯1101312⩣⫁∢⪩⨒∯1133211⫳≱↱(∟⋨⪩⨒∯301023))⊲⩕⊾((⪩⨒∯1020113∕⩚⪩⨒∯110211)∀⇚≩(⪩⨒∯1323221⇉⇉)))","cot":[{"info":"⪩⨒∯101100⋅⇍⪩⨒∯300211=⪩⨒∯-112","layer":3},{"info":"↴⪽⋼⪩⨒∯-112=⪩⨒∯20233232","layer":2},{"info":"⪩⨒∯20233232↛⩡⫤=⪩⨒∯-110213220123","layer":1},{"info":"⪩⨒∯1101312⩣⫁∢⪩⨒∯1133211=⪩⨒∯-2201023","layer":3},{"info":"∟⋨⪩⨒∯301023=⪩⨒∯-221213","layer":3},{"info":"⪩⨒∯-2201023⫳≱↱⪩⨒∯-221213=⪩⨒∯-223302","layer":2},{"info":"⪩⨒∯1020113∕⩚⪩⨒∯110211=⪩⨒∯-1020122","layer":3},{"info":"⪩⨒∯1323221⇉⇉=⪩⨒∯-1333301030","layer":3},{"info":"⪩⨒∯-1020122∀⇚≩⪩⨒∯-1333301030=NaN","layer":2},{"info":"⪩⨒∯-223302⊲⩕⊾NaN=NaN","layer":1},{"info":"⪩⨒∯-110213220123⨼⩣NaN=NaN","layer":0}]}
{"id":561,"expression_no_base_symbol":"⪓⩚((($2278$↬$1341$)⇞)⫦⪉(↥≼⋛($5237$⫳≱↱$3678$)))","expression":"⪓⩚(((⪩⨒∯203212↬⪩⨒∯110331)⇞)⫦⪉(↥≼⋛(⪩⨒∯1101311⫳≱↱⪩⨒∯321132)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3722,"operation_count":6,"complexity_ratio":620.3333333333334,"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":2278,"base":4},"right_expr":{"type":"numeric_atoms","value":1341,"base":4}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5237,"base":4},"right_expr":{"type":"numeric_atoms","value":3678,"base":4}}}}},"used_operators":["u0R0Locfp2","wscyQdcy20","5JYyxRJd4f","B5M0gjZbta","x5lMkHmzsq","ZvLB05nZmT"],"dependent_operators":["6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","rGHVDoGpnC","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"⪩⨒∯12222","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=2278","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=1341, 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 = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=nan","layer":2},{"info":"number node, value=5237","layer":4},{"info":"number node, value=3678","layer":4},{"info":"compute binary expreesion, left_input=5237, right_input=3678, 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 = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-171","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-171, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":0}],"base":4,"result_base":4,"text":"⪓⩚(((⪩⨒∯203212↬⪩⨒∯110331)⇞)⫦⪉(↥≼⋛(⪩⨒∯1101311⫳≱↱⪩⨒∯321132)))=⪩⨒∯12222","reverse_text":"⪩⨒∯12222=⪓⩚(((⪩⨒∯203212↬⪩⨒∯110331)⇞)⫦⪉(↥≼⋛(⪩⨒∯1101311⫳≱↱⪩⨒∯321132)))","cot":[{"info":"⪩⨒∯203212↬⪩⨒∯110331=NaN","layer":3},{"info":"NaN⇞=NaN","layer":2},{"info":"⪩⨒∯1101311⫳≱↱⪩⨒∯321132=⪩⨒∯-3030","layer":3},{"info":"↥≼⋛⪩⨒∯-3030=⪩⨒∯-2223","layer":2},{"info":"NaN⫦⪉⪩⨒∯-2223=NaN","layer":1},{"info":"⪓⩚NaN=⪩⨒∯12222","layer":0}]}
{"id":562,"expression_no_base_symbol":"(⫵↿((→⩰$2398$)⊅))⩣⫁∢($1336$⪔$2856$↱$1354$⨐⩸⫘$1325$*(⇈(↩⪖$4891$)))","expression":"(⫵↿((→⩰⪩⨒∯211132)⊅))⩣⫁∢(⪩⨒∯110320⪔⪩⨒∯230220↱⪩⨒∯111022⨐⩸⫘⪩⨒∯110231*(⇈(↩⪖⪩⨒∯1030123)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6918,"operation_count":10,"complexity_ratio":691.8,"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":2398,"base":4}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1336,"base":4},"right_expr":{"type":"numeric_atoms","value":2856,"base":4}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1354,"base":4},"right_expr":{"type":"numeric_atoms","value":1325,"base":4}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":4891,"base":4}}}}},"used_operators":["JDUIKTTSIa","ivGwdmUAux","7p6YLioM7f","o8Pngz0Tml","9HNa5Wba9A","SR5kFfdi6N","GjBEYRfMaF","fu6greOZ01","SLLxy00UIr","fG6uBQFnGz"],"dependent_operators":["sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","W4YGzv6Whe","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","3ViojmjbAp","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2398","layer":4},{"info":"compute unary expreesion, input=2398, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=16947","layer":2},{"info":"compute unary expreesion, input=16947, 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=1336","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=2856, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":3},{"info":"number node, value=1354","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=1354, right_input=1325, 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=450, 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":2},{"info":"number node, value=4891","layer":4},{"info":"compute unary expreesion, input=4891, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-32328","layer":3},{"info":"compute unary expreesion, input=-32328, 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=137, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⫵↿((→⩰⪩⨒∯211132)⊅))⩣⫁∢(⪩⨒∯110320⪔⪩⨒∯230220↱⪩⨒∯111022⨐⩸⫘⪩⨒∯110231*(⇈(↩⪖⪩⨒∯1030123)))=NaN","reverse_text":"NaN=(⫵↿((→⩰⪩⨒∯211132)⊅))⩣⫁∢(⪩⨒∯110320⪔⪩⨒∯230220↱⪩⨒∯111022⨐⩸⫘⪩⨒∯110231*(⇈(↩⪖⪩⨒∯1030123)))","cot":[{"info":"→⩰⪩⨒∯211132=NaN","layer":3},{"info":"NaN⊅=⪩⨒∯10020303","layer":2},{"info":"⫵↿⪩⨒∯10020303=⪩⨒∯2021","layer":1},{"info":"⪩⨒∯110320⪔⪩⨒∯230220=⪩⨒∯13002","layer":3},{"info":"⪩⨒∯111022⨐⩸⫘⪩⨒∯110231=NaN","layer":3},{"info":"⪩⨒∯13002↱NaN=NaN","layer":2},{"info":"↩⪖⪩⨒∯1030123=⪩⨒∯-13321020","layer":3},{"info":"⇈⪩⨒∯-13321020=⪩⨒∯-12333","layer":2},{"info":"NaN*⪩⨒∯-12333=NaN","layer":1},{"info":"⪩⨒∯2021⩣⫁∢NaN=NaN","layer":0}]}
{"id":563,"expression_no_base_symbol":"($1342$⪪$6893$⫢⨠($5758$⨑≵⋬$4189$))⫉⨲⊜($1129$⇄$1392$∷$1929$⊮⊟↴$2297$)⨪↰⇹($1477$⫲≸⪮$1072$⋓($6172$≎⊠⪸$2851$)⩢≌)","expression":"(⪩⨒∯110332⪪⪩⨒∯1223231⫢⨠(⪩⨒∯1121332⨑≵⋬⪩⨒∯1001131))⫉⨲⊜(⪩⨒∯101221⇄⪩⨒∯111300∷⪩⨒∯132021⊮⊟↴⪩⨒∯203321)⨪↰⇹(⪩⨒∯113011⫲≸⪮⪩⨒∯100300⋓(⪩⨒∯1200130≎⊠⪸⪩⨒∯230203)⩢≌)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7429,"operation_count":12,"complexity_ratio":619.0833333333334,"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":1342,"base":4},"right_expr":{"type":"numeric_atoms","value":6893,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5758,"base":4},"right_expr":{"type":"numeric_atoms","value":4189,"base":4}}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1129,"base":4},"right_expr":{"type":"numeric_atoms","value":1392,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1929,"base":4},"right_expr":{"type":"numeric_atoms","value":2297,"base":4}}}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1477,"base":4},"right_expr":{"type":"numeric_atoms","value":1072,"base":4}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6172,"base":4},"right_expr":{"type":"numeric_atoms","value":2851,"base":4}}}}},"used_operators":["tmPS8pqC7x","WhqkvtTD3t","xlXykHWxX1","xD69zh8xqp","XnXgA4xnOs","D3AQDKkPcf","3EYGwJThht","QDVgd2eftb","D617RFjZIq","T2fj7uvVaJ","P3lXMJvFrc","bJkvcejdHO"],"dependent_operators":["rJVOvQCfKK","eewbuw0ToL","zVYPLywUTj","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","FU0Cs4j7VP","JclMnS0uGI","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","hTbEZDJLEm","o20kRiQErp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"⪩⨒∯-32020","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":4},{"info":"number node, value=6893","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=6893, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-198731","layer":3},{"info":"number node, value=5758","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=5758, right_input=4189, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=846","layer":3},{"info":"compute binary expreesion, left_input=-198731, right_input=846, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=1129","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=1392, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1929","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=2297, 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=0, right_input=0, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=-794","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-794, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-904","layer":1},{"info":"number node, value=1477","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=1477, right_input=1072, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1477","layer":3},{"info":"number node, value=6172","layer":4},{"info":"number node, value=2851","layer":4},{"info":"compute binary expreesion, left_input=6172, right_input=2851, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1598075","layer":3},{"info":"compute binary expreesion, left_input=1477, right_input=1598075, 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 = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"compute binary expreesion, left_input=-904, right_input=113, 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=-904","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯110332⪪⪩⨒∯1223231⫢⨠(⪩⨒∯1121332⨑≵⋬⪩⨒∯1001131))⫉⨲⊜(⪩⨒∯101221⇄⪩⨒∯111300∷⪩⨒∯132021⊮⊟↴⪩⨒∯203321)⨪↰⇹(⪩⨒∯113011⫲≸⪮⪩⨒∯100300⋓(⪩⨒∯1200130≎⊠⪸⪩⨒∯230203)⩢≌)=⪩⨒∯-32020","reverse_text":"⪩⨒∯-32020=(⪩⨒∯110332⪪⪩⨒∯1223231⫢⨠(⪩⨒∯1121332⨑≵⋬⪩⨒∯1001131))⫉⨲⊜(⪩⨒∯101221⇄⪩⨒∯111300∷⪩⨒∯132021⊮⊟↴⪩⨒∯203321)⨪↰⇹(⪩⨒∯113011⫲≸⪮⪩⨒∯100300⋓(⪩⨒∯1200130≎⊠⪸⪩⨒∯230203)⩢≌)","cot":[{"info":"⪩⨒∯110332⪪⪩⨒∯1223231=⪩⨒∯-300201023","layer":3},{"info":"⪩⨒∯1121332⨑≵⋬⪩⨒∯1001131=⪩⨒∯31032","layer":3},{"info":"⪩⨒∯-300201023⫢⨠⪩⨒∯31032=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯101221⇄⪩⨒∯111300=⪩⨒∯0","layer":3},{"info":"⪩⨒∯132021⊮⊟↴⪩⨒∯203321=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0∷⪩⨒∯0=⪩⨒∯-30122","layer":2},{"info":"⪩⨒∯2200⫉⨲⊜⪩⨒∯-30122=⪩⨒∯-32020","layer":1},{"info":"⪩⨒∯113011⫲≸⪮⪩⨒∯100300=⪩⨒∯113011","layer":3},{"info":"⪩⨒∯1200130≎⊠⪸⪩⨒∯230203=⪩⨒∯12012021323","layer":3},{"info":"⪩⨒∯113011⋓⪩⨒∯12012021323=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⩢≌=⪩⨒∯1301","layer":1},{"info":"⪩⨒∯-32020⨪↰⇹⪩⨒∯1301=⪩⨒∯-32020","layer":0}]}
{"id":564,"expression_no_base_symbol":"((($2833$⨭⪣$1000$)⨥⫆(∨∊⋏$2151$))⨿(($3687$∖$2570$)⪛⫼$6296$⪪$5083$))⇡⇂(($3885$∌$1051$)≦↸($4549$⊋≦⊧$5606$)⫉⨲⊜($3091$∺≝⩲$3131$⩺⪪(≉$1055$)))","expression":"(((⪩⨒∯230101⨭⪣⪩⨒∯33220)⨥⫆(∨∊⋏⪩⨒∯201213))⨿((⪩⨒∯321213∖⪩⨒∯220022)⪛⫼⪩⨒∯1202120⪪⪩⨒∯1033123))⇡⇂((⪩⨒∯330231∌⪩⨒∯100123)≦↸(⪩⨒∯1013011⊋≦⊧⪩⨒∯1113212)⫉⨲⊜(⪩⨒∯300103∺≝⩲⪩⨒∯300323⩺⪪(≉⪩⨒∯100133)))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":380155,"operation_count":15,"complexity_ratio":25343.666666666668,"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":2833,"base":4},"right_expr":{"type":"numeric_atoms","value":1000,"base":4}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":2151,"base":4}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3687,"base":4},"right_expr":{"type":"numeric_atoms","value":2570,"base":4}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":6296,"base":4},"right_expr":{"type":"numeric_atoms","value":5083,"base":4}}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3885,"base":4},"right_expr":{"type":"numeric_atoms","value":1051,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4549,"base":4},"right_expr":{"type":"numeric_atoms","value":5606,"base":4}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":3091,"base":4},"right_expr":{"type":"numeric_atoms","value":3131,"base":4}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1055,"base":4}}}}},"used_operators":["UMwdvZNt44","abYXlopdE0","yXekIHxTD4","kn8WO9XteQ","R5aXW34M0v","hyuBjUqXlG","tXD093vOjl","xD69zh8xqp","WhqkvtTD3t","RygbFNSyEJ","8cLx32lpNA","oRDoc9rAEX","uvdQJvN4PV","KPf6cnQVty","e1ybzncUwg"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","FU0Cs4j7VP","JclMnS0uGI","eewbuw0ToL","zVYPLywUTj","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯11002","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2833","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=1000, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1554","layer":3},{"info":"number node, value=2151","layer":4},{"info":"compute unary expreesion, input=2151, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=38423","layer":3},{"info":"compute binary expreesion, left_input=1554, right_input=38423, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=76722","layer":2},{"info":"number node, value=3687","layer":4},{"info":"number node, value=2570","layer":4},{"info":"compute binary expreesion, left_input=3687, right_input=2570, 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=6296","layer":4},{"info":"number node, value=5083","layer":4},{"info":"compute binary expreesion, left_input=6296, right_input=5083, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-946785","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-946785, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1405","layer":2},{"info":"compute binary expreesion, left_input=76722, right_input=-1405, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=-319","layer":1},{"info":"number node, value=3885","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=3885, right_input=1051, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1051","layer":3},{"info":"number node, value=4549","layer":4},{"info":"number node, value=5606","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=5606, 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=-9915","layer":3},{"info":"compute binary expreesion, left_input=-1051, right_input=-9915, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=1732","layer":2},{"info":"number node, value=3091","layer":4},{"info":"number node, value=3131","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=3131, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=1055","layer":4},{"info":"compute unary expreesion, input=1055, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1586","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1586, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-34106","layer":2},{"info":"compute binary expreesion, left_input=1732, right_input=-34106, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-34216","layer":1},{"info":"compute binary expreesion, left_input=-319, right_input=-34216, 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=322","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯230101⨭⪣⪩⨒∯33220)⨥⫆(∨∊⋏⪩⨒∯201213))⨿((⪩⨒∯321213∖⪩⨒∯220022)⪛⫼⪩⨒∯1202120⪪⪩⨒∯1033123))⇡⇂((⪩⨒∯330231∌⪩⨒∯100123)≦↸(⪩⨒∯1013011⊋≦⊧⪩⨒∯1113212)⫉⨲⊜(⪩⨒∯300103∺≝⩲⪩⨒∯300323⩺⪪(≉⪩⨒∯100133)))=⪩⨒∯11002","reverse_text":"⪩⨒∯11002=(((⪩⨒∯230101⨭⪣⪩⨒∯33220)⨥⫆(∨∊⋏⪩⨒∯201213))⨿((⪩⨒∯321213∖⪩⨒∯220022)⪛⫼⪩⨒∯1202120⪪⪩⨒∯1033123))⇡⇂((⪩⨒∯330231∌⪩⨒∯100123)≦↸(⪩⨒∯1013011⊋≦⊧⪩⨒∯1113212)⫉⨲⊜(⪩⨒∯300103∺≝⩲⪩⨒∯300323⩺⪪(≉⪩⨒∯100133)))","cot":[{"info":"⪩⨒∯230101⨭⪣⪩⨒∯33220=⪩⨒∯120102","layer":3},{"info":"∨∊⋏⪩⨒∯201213=⪩⨒∯21120113","layer":3},{"info":"⪩⨒∯120102⨥⫆⪩⨒∯21120113=⪩⨒∯102232302","layer":2},{"info":"⪩⨒∯321213∖⪩⨒∯220022=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1202120⪪⪩⨒∯1033123=⪩⨒∯-3213021201","layer":3},{"info":"⪩⨒∯0⪛⫼⪩⨒∯-3213021201=⪩⨒∯-111331","layer":2},{"info":"⪩⨒∯102232302⨿⪩⨒∯-111331=⪩⨒∯-10333","layer":1},{"info":"⪩⨒∯330231∌⪩⨒∯100123=⪩⨒∯-100123","layer":3},{"info":"⪩⨒∯1013011⊋≦⊧⪩⨒∯1113212=⪩⨒∯-2122323","layer":3},{"info":"⪩⨒∯-100123≦↸⪩⨒∯-2122323=⪩⨒∯123010","layer":2},{"info":"⪩⨒∯300103∺≝⩲⪩⨒∯300323=⪩⨒∯2200","layer":3},{"info":"≉⪩⨒∯100133=⪩⨒∯120302","layer":3},{"info":"⪩⨒∯2200⩺⪪⪩⨒∯120302=⪩⨒∯-20110322","layer":2},{"info":"⪩⨒∯123010⫉⨲⊜⪩⨒∯-20110322=⪩⨒∯-20112220","layer":1},{"info":"⪩⨒∯-10333⇡⇂⪩⨒∯-20112220=⪩⨒∯11002","layer":0}]}
{"id":565,"expression_no_base_symbol":"((∨∊⋏$5985$)⊴($2689$⫃⨇$1707$))≌(($1238$⊫∞)∽$3004$⨿$2329$)⪢($2492$⪃⊛⇣$5298$⪉⨛(∟⋨$1303$))∓⋝(⇈($1648$⫡⨏$2032$))","expression":"((∨∊⋏⪩⨒∯1131201)⊴(⪩⨒∯222001⫃⨇⪩⨒∯122223))≌((⪩⨒∯103112⊫∞)∽⪩⨒∯232330⨿⪩⨒∯210121)⪢(⪩⨒∯212330⪃⊛⇣⪩⨒∯1102302⪉⨛(∟⋨⪩⨒∯110113))∓⋝(⇈(⪩⨒∯121300⫡⨏⪩⨒∯133300))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":276632,"operation_count":14,"complexity_ratio":19759.428571428572,"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":5985,"base":4}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2689,"base":4},"right_expr":{"type":"numeric_atoms","value":1707,"base":4}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"numeric_atoms","value":1238,"base":4}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":3004,"base":4},"right_expr":{"type":"numeric_atoms","value":2329,"base":4}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2492,"base":4},"right_expr":{"type":"numeric_atoms","value":5298,"base":4}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1303,"base":4}}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1648,"base":4},"right_expr":{"type":"numeric_atoms","value":2032,"base":4}}}}},"used_operators":["dWAJyo7jo9","lyWz822IDG","Nsiff2A1zJ","R5aXW34M0v","09Ly4LVMIf","y4ImoPnbV5","pABnYW3G3E","abYXlopdE0","PoHhknlbAi","EWw2JM7wp4","rrgAzCduG9","ctOc4cKSDt","SLLxy00UIr","QMFrweE19q"],"dependent_operators":["k8jYdgA6NY","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","dWAJyo7jo9","14qkJME0vr","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","NTOWxs364D","QMFrweE19q","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","tmPS8pqC7x","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5985","layer":4},{"info":"compute unary expreesion, input=5985, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=130439","layer":3},{"info":"number node, value=2689","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=2689, right_input=1707, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-6860","layer":3},{"info":"compute binary expreesion, left_input=130439, right_input=-6860, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1238","layer":4},{"info":"compute unary expreesion, input=1238, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=3004","layer":4},{"info":"number node, value=2329","layer":4},{"info":"compute binary expreesion, left_input=3004, right_input=2329, 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=0, right_input=-319, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=1135","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1135, 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=2492","layer":4},{"info":"number node, value=5298","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=5298, 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=1303","layer":4},{"info":"compute unary expreesion, input=1303, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-819","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-819, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=4736","layer":2},{"info":"number node, value=1648","layer":4},{"info":"number node, value=2032","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=2032, 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=13087","layer":3},{"info":"compute unary expreesion, input=13087, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=4736, right_input=-447, 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 = 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":4,"result_base":4,"text":"((∨∊⋏⪩⨒∯1131201)⊴(⪩⨒∯222001⫃⨇⪩⨒∯122223))≌((⪩⨒∯103112⊫∞)∽⪩⨒∯232330⨿⪩⨒∯210121)⪢(⪩⨒∯212330⪃⊛⇣⪩⨒∯1102302⪉⨛(∟⋨⪩⨒∯110113))∓⋝(⇈(⪩⨒∯121300⫡⨏⪩⨒∯133300))=NaN","reverse_text":"NaN=((∨∊⋏⪩⨒∯1131201)⊴(⪩⨒∯222001⫃⨇⪩⨒∯122223))≌((⪩⨒∯103112⊫∞)∽⪩⨒∯232330⨿⪩⨒∯210121)⪢(⪩⨒∯212330⪃⊛⇣⪩⨒∯1102302⪉⨛(∟⋨⪩⨒∯110113))∓⋝(⇈(⪩⨒∯121300⫡⨏⪩⨒∯133300))","cot":[{"info":"∨∊⋏⪩⨒∯1131201=⪩⨒∯133312013","layer":3},{"info":"⪩⨒∯222001⫃⨇⪩⨒∯122223=⪩⨒∯-1223030","layer":3},{"info":"⪩⨒∯133312013⊴⪩⨒∯-1223030=NaN","layer":2},{"info":"⪩⨒∯103112⊫∞=⪩⨒∯0","layer":3},{"info":"⪩⨒∯232330⨿⪩⨒∯210121=⪩⨒∯-10333","layer":3},{"info":"⪩⨒∯0∽⪩⨒∯-10333=⪩⨒∯101233","layer":2},{"info":"NaN≌⪩⨒∯101233=NaN","layer":1},{"info":"⪩⨒∯212330⪃⊛⇣⪩⨒∯1102302=⪩⨒∯103102","layer":3},{"info":"∟⋨⪩⨒∯110113=⪩⨒∯-30303","layer":3},{"info":"⪩⨒∯103102⪉⨛⪩⨒∯-30303=⪩⨒∯1022000","layer":2},{"info":"⪩⨒∯121300⫡⨏⪩⨒∯133300=⪩⨒∯3030133","layer":3},{"info":"⇈⪩⨒∯3030133=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯1022000∓⋝⪩⨒∯-12333=⪩⨒∯1003","layer":1},{"info":"NaN⪢⪩⨒∯1003=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"⋠∜($2020$⇂≾⫗$1204$⪔⊥(⊆⋠$3915$))≁↽≥(⊁⨺($1019$⪉⨛$4163$))","expression":"⋠∜(⪩⨒∯133210⇂≾⫗⪩⨒∯102310⪔⊥(⊆⋠⪩⨒∯331023))≁↽≥(⊁⨺(⪩⨒∯33323⪉⨛⪩⨒∯1001003))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5643,"operation_count":7,"complexity_ratio":806.1428571428571,"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":2020,"base":4},"right_expr":{"type":"numeric_atoms","value":1204,"base":4}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":3915,"base":4}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1019,"base":4},"right_expr":{"type":"numeric_atoms","value":4163,"base":4}}}}},"used_operators":["ZJpFhNJr3x","ncHt1X6cMc","HJ9erzHUuu","aBQ6xLxuTc","EBhcHTkKd8","PxiHyQbrIp","EWw2JM7wp4"],"dependent_operators":["X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","oWn0xqSxBt","3Oe9XWJUTD","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"⪩⨒∯233330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2020","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1204, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=3915","layer":4},{"info":"compute unary expreesion, input=3915, 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=-676, right_input=0, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1475","layer":2},{"info":"number node, value=1019","layer":4},{"info":"number node, value=4163","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=4163, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-891","layer":3},{"info":"compute unary expreesion, input=-891, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=-5454","layer":2},{"info":"compute binary expreesion, left_input=1475, right_input=-5454, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":1},{"info":"compute unary expreesion, input=196, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=3068","layer":0}],"base":4,"result_base":4,"text":"⋠∜(⪩⨒∯133210⇂≾⫗⪩⨒∯102310⪔⊥(⊆⋠⪩⨒∯331023))≁↽≥(⊁⨺(⪩⨒∯33323⪉⨛⪩⨒∯1001003))=⪩⨒∯233330","reverse_text":"⪩⨒∯233330=⋠∜(⪩⨒∯133210⇂≾⫗⪩⨒∯102310⪔⊥(⊆⋠⪩⨒∯331023))≁↽≥(⊁⨺(⪩⨒∯33323⪉⨛⪩⨒∯1001003))","cot":[{"info":"⪩⨒∯133210⇂≾⫗⪩⨒∯102310=⪩⨒∯-22210","layer":3},{"info":"⊆⋠⪩⨒∯331023=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-22210⪔⊥⪩⨒∯0=⪩⨒∯113003","layer":2},{"info":"⪩⨒∯33323⪉⨛⪩⨒∯1001003=⪩⨒∯-31323","layer":3},{"info":"⊁⨺⪩⨒∯-31323=⪩⨒∯-1111032","layer":2},{"info":"⪩⨒∯113003≁↽≥⪩⨒∯-1111032=⪩⨒∯3010","layer":1},{"info":"⋠∜⪩⨒∯3010=⪩⨒∯233330","layer":0}]}
{"id":567,"expression_no_base_symbol":"($8287$⇤$1080$⫔⩽⩺($2152$⫳≱↱$1352$)⊭↱(→⩰$4836$)⩷∴($1950$⨭⪣$3966$))⨌↪","expression":"(⪩⨒∯2001133⇤⪩⨒∯100320⫔⩽⩺(⪩⨒∯201220⫳≱↱⪩⨒∯111020)⊭↱(→⩰⪩⨒∯1023210)⩷∴(⪩⨒∯132132⨭⪣⪩⨒∯331332))⨌↪","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":50141,"operation_count":8,"complexity_ratio":6267.625,"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":8287,"base":4},"right_expr":{"type":"numeric_atoms","value":1080,"base":4}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":2152,"base":4},"right_expr":{"type":"numeric_atoms","value":1352,"base":4}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":4836,"base":4}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1950,"base":4},"right_expr":{"type":"numeric_atoms","value":3966,"base":4}}}}},"used_operators":["cWQsF5MvuD","COABgblf1C","i9eR4S00cU","YSKBFp38Pu","ZvLB05nZmT","9FxExcQeMw","o8Pngz0Tml","kn8WO9XteQ"],"dependent_operators":["8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF"],"result":"⪩⨒∯-13200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8287","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=8287, right_input=1080, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-43987","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=1352, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=-43987, right_input=-204, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=4836","layer":4},{"info":"compute unary expreesion, input=4836, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=1950","layer":4},{"info":"number node, value=3966","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=3966, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=671","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=671, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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":4,"result_base":4,"text":"(⪩⨒∯2001133⇤⪩⨒∯100320⫔⩽⩺(⪩⨒∯201220⫳≱↱⪩⨒∯111020)⊭↱(→⩰⪩⨒∯1023210)⩷∴(⪩⨒∯132132⨭⪣⪩⨒∯331332))⨌↪=⪩⨒∯-13200","reverse_text":"⪩⨒∯-13200=(⪩⨒∯2001133⇤⪩⨒∯100320⫔⩽⩺(⪩⨒∯201220⫳≱↱⪩⨒∯111020)⊭↱(→⩰⪩⨒∯1023210)⩷∴(⪩⨒∯132132⨭⪣⪩⨒∯331332))⨌↪","cot":[{"info":"⪩⨒∯2001133⇤⪩⨒∯100320=⪩⨒∯-22233103","layer":3},{"info":"⪩⨒∯201220⫳≱↱⪩⨒∯111020=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯-22233103⫔⩽⩺⪩⨒∯-3030=NaN","layer":2},{"info":"→⩰⪩⨒∯1023210=NaN","layer":3},{"info":"⪩⨒∯132132⨭⪣⪩⨒∯331332=⪩⨒∯22133","layer":3},{"info":"NaN⩷∴⪩⨒∯22133=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"NaN⨌↪=⪩⨒∯-13200","layer":0}]}
{"id":568,"expression_no_base_symbol":"(($6667$⊭∹↮)≎⊠⪸$3511$⊮⊟↴$5935$/($3170$⪛⫼$7236$)⫞⩸⩒($4631$%$3235$))⊵↤","expression":"((⪩⨒∯1220023⊭∹↮)≎⊠⪸⪩⨒∯312313⊮⊟↴⪩⨒∯1130233/(⪩⨒∯301202⪛⫼⪩⨒∯1301010)⫞⩸⩒(⪩⨒∯1020113%⪩⨒∯302203))⊵↤","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2981,"operation_count":8,"complexity_ratio":372.625,"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":6667,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":3511,"base":4},"right_expr":{"type":"numeric_atoms","value":5935,"base":4}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":3170,"base":4},"right_expr":{"type":"numeric_atoms","value":7236,"base":4}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4631,"base":4},"right_expr":{"type":"numeric_atoms","value":3235,"base":4}}}}},"used_operators":["7IPrd9c3lf","XhwjNDsVaA","bJkvcejdHO","xNBdhnnwKq","QDVgd2eftb","XGcMNugi78","hyuBjUqXlG","k8jYdgA6NY"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6667","layer":4},{"info":"compute unary expreesion, input=6667, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13334","layer":3},{"info":"number node, value=3511","layer":4},{"info":"number node, value=5935","layer":4},{"info":"compute binary expreesion, left_input=3511, right_input=5935, 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=13334, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3453033","layer":2},{"info":"number node, value=3170","layer":4},{"info":"number node, value=7236","layer":4},{"info":"compute binary expreesion, left_input=3170, right_input=7236, 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=4631","layer":4},{"info":"number node, value=3235","layer":4},{"info":"compute binary expreesion, left_input=4631, right_input=3235, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1396","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=1396, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1396","layer":2},{"info":"compute binary expreesion, left_input=3453033, right_input=1396, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2473","layer":1},{"info":"compute unary expreesion, input=2473, 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":4,"result_base":4,"text":"((⪩⨒∯1220023⊭∹↮)≎⊠⪸⪩⨒∯312313⊮⊟↴⪩⨒∯1130233/(⪩⨒∯301202⪛⫼⪩⨒∯1301010)⫞⩸⩒(⪩⨒∯1020113%⪩⨒∯302203))⊵↤=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⪩⨒∯1220023⊭∹↮)≎⊠⪸⪩⨒∯312313⊮⊟↴⪩⨒∯1130233/(⪩⨒∯301202⪛⫼⪩⨒∯1301010)⫞⩸⩒(⪩⨒∯1020113%⪩⨒∯302203))⊵↤","cot":[{"info":"⪩⨒∯1220023⊭∹↮=⪩⨒∯3100112","layer":3},{"info":"⪩⨒∯312313⊮⊟↴⪩⨒∯1130233=⪩⨒∯0","layer":3},{"info":"⪩⨒∯3100112≎⊠⪸⪩⨒∯0=⪩⨒∯31023001221","layer":2},{"info":"⪩⨒∯301202⪛⫼⪩⨒∯1301010=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯1020113%⪩⨒∯302203=⪩⨒∯111310","layer":3},{"info":"⪩⨒∯33020⫞⩸⩒⪩⨒∯111310=⪩⨒∯111310","layer":2},{"info":"⪩⨒∯31023001221/⪩⨒∯111310=⪩⨒∯212221","layer":1},{"info":"⪩⨒∯212221⊵↤=⪩⨒∯1003","layer":0}]}
{"id":569,"expression_no_base_symbol":"(($7621$⊋$1173$)⫲⨊)⨻⩈⩔(∡$3030$)⩼⇪↪($3950$⇄$4710$)∠↢($5177$⋓$6070$⩹$1726$⊢$1508$)∘($2597$⊱⇼⊻$5118$∌↝($3676$⪒$2162$))","expression":"((⪩⨒∯1313011⊋⪩⨒∯102111)⫲⨊)⨻⩈⩔(∡⪩⨒∯233112)⩼⇪↪(⪩⨒∯331232⇄⪩⨒∯1021212)∠↢(⪩⨒∯1100321⋓⪩⨒∯1132312⩹⪩⨒∯122332⊢⪩⨒∯113210)∘(⪩⨒∯220211⊱⇼⊻⪩⨒∯1033332∌↝(⪩⨒∯321130⪒⪩⨒∯201302))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":200126,"operation_count":14,"complexity_ratio":14294.714285714286,"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":7621,"base":4},"right_expr":{"type":"numeric_atoms","value":1173,"base":4}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"∡","unary_expr":{"type":"numeric_atoms","value":3030,"base":4}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3950,"base":4},"right_expr":{"type":"numeric_atoms","value":4710,"base":4}}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5177,"base":4},"right_expr":{"type":"numeric_atoms","value":6070,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1726,"base":4},"right_expr":{"type":"numeric_atoms","value":1508,"base":4}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":2597,"base":4},"right_expr":{"type":"numeric_atoms","value":5118,"base":4}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3676,"base":4},"right_expr":{"type":"numeric_atoms","value":2162,"base":4}}}}},"used_operators":["KbjG8mgYpV","nEsXyWgiOK","CArV6hThFE","W4tP9CfskL","ocnLzx9CaJ","pRsWfj4Fpp","3EYGwJThht","Z5m6OM72h2","2Wsdkap16l","T2fj7uvVaJ","5twsqlHp2o","9Isq31Ruls","FyVja0WsTP","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","W4YGzv6Whe","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7621","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=7621, right_input=1173, 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=56696380","layer":3},{"info":"compute unary expreesion, input=56696380, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=283482683","layer":2},{"info":"number node, value=3030","layer":4},{"info":"compute unary expreesion, input=3030, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-3030","layer":3},{"info":"number node, value=3950","layer":4},{"info":"number node, value=4710","layer":4},{"info":"compute binary expreesion, left_input=3950, right_input=4710, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3030, right_input=0, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-6843","layer":2},{"info":"compute binary expreesion, left_input=283482683, right_input=-6843, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=inf","layer":1},{"info":"number node, value=5177","layer":4},{"info":"number node, value=6070","layer":4},{"info":"compute binary expreesion, left_input=5177, right_input=6070, 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=1726","layer":4},{"info":"number node, value=1508","layer":4},{"info":"compute binary expreesion, left_input=1726, right_input=1508, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3696","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3696, 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=-3698","layer":2},{"info":"number node, value=2597","layer":4},{"info":"number node, value=5118","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=5118, 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=3676","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=3676, right_input=2162, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5838","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-5838, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=-3698, right_input=868, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-7396","layer":1},{"info":"compute binary expreesion, left_input=inf, right_input=-7396, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-inf","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1313011⊋⪩⨒∯102111)⫲⨊)⨻⩈⩔(∡⪩⨒∯233112)⩼⇪↪(⪩⨒∯331232⇄⪩⨒∯1021212)∠↢(⪩⨒∯1100321⋓⪩⨒∯1132312⩹⪩⨒∯122332⊢⪩⨒∯113210)∘(⪩⨒∯220211⊱⇼⊻⪩⨒∯1033332∌↝(⪩⨒∯321130⪒⪩⨒∯201302))=-Inf","reverse_text":"-Inf=((⪩⨒∯1313011⊋⪩⨒∯102111)⫲⨊)⨻⩈⩔(∡⪩⨒∯233112)⩼⇪↪(⪩⨒∯331232⇄⪩⨒∯1021212)∠↢(⪩⨒∯1100321⋓⪩⨒∯1132312⩹⪩⨒∯122332⊢⪩⨒∯113210)∘(⪩⨒∯220211⊱⇼⊻⪩⨒∯1033332∌↝(⪩⨒∯321130⪒⪩⨒∯201302))","cot":[{"info":"⪩⨒∯1313011⊋⪩⨒∯102111=⪩⨒∯3120101320330","layer":3},{"info":"⪩⨒∯3120101320330⫲⨊=⪩⨒∯100321121220323","layer":2},{"info":"∡⪩⨒∯233112=⪩⨒∯-233112","layer":3},{"info":"⪩⨒∯331232⇄⪩⨒∯1021212=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-233112⩼⇪↪⪩⨒∯0=⪩⨒∯-1222323","layer":2},{"info":"⪩⨒∯100321121220323⨻⩈⩔⪩⨒∯-1222323=Inf","layer":1},{"info":"⪩⨒∯1100321⋓⪩⨒∯1132312=⪩⨒∯0","layer":3},{"info":"⪩⨒∯122332⊢⪩⨒∯113210=⪩⨒∯-321300","layer":3},{"info":"⪩⨒∯0⩹⪩⨒∯-321300=⪩⨒∯-321302","layer":2},{"info":"⪩⨒∯220211⊱⇼⊻⪩⨒∯1033332=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯321130⪒⪩⨒∯201302=⪩⨒∯-1123032","layer":3},{"info":"⪩⨒∯12302∌↝⪩⨒∯-1123032=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯-321302∘⪩⨒∯31210=⪩⨒∯-1303210","layer":1},{"info":"Inf∠↢⪩⨒∯-1303210=-Inf","layer":0}]}
{"id":570,"expression_no_base_symbol":"($3567$⋹⋡⊁$2969$⋭≵$4938$⪟⇏$2788$)⨎(∂($2583$⪭≯$1092$))/$3235$⨽∌$7520$⪔⊥$3602$∥⊢⊲$3168$⩍⋽⫝̸(($2646$⨵⪆$1194$)⨑≵⋬$1003$+⇶⊼$1767$)","expression":"(⪩⨒∯313233⋹⋡⊁⪩⨒∯232121⋭≵⪩⨒∯1031022⪟⇏⪩⨒∯223210)⨎(∂(⪩⨒∯220113⪭≯⪩⨒∯101010))/⪩⨒∯302203⨽∌⪩⨒∯1311200⪔⊥⪩⨒∯320102∥⊢⊲⪩⨒∯301200⩍⋽⫝̸((⪩⨒∯221112⨵⪆⪩⨒∯102222)⨑≵⋬⪩⨒∯33223+⇶⊼⪩⨒∯123213)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":62914,"operation_count":14,"complexity_ratio":4493.857142857143,"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":3567,"base":4},"right_expr":{"type":"numeric_atoms","value":2969,"base":4}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":4938,"base":4},"right_expr":{"type":"numeric_atoms","value":2788,"base":4}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2583,"base":4},"right_expr":{"type":"numeric_atoms","value":1092,"base":4}}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3235,"base":4},"right_expr":{"type":"numeric_atoms","value":7520,"base":4}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3602,"base":4},"right_expr":{"type":"numeric_atoms","value":3168,"base":4}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2646,"base":4},"right_expr":{"type":"numeric_atoms","value":1194,"base":4}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1003,"base":4},"right_expr":{"type":"numeric_atoms","value":1767,"base":4}}}}},"used_operators":["XhwjNDsVaA","rJVOvQCfKK","jBncVCNhdl","As8RqfVLgs","GODebY97qR","Uaa54Peajs","XAx5wpdLa6","BiWNJpBvwn","HJ9erzHUuu","9samAPKr6k","v1UQAVDJRr","XnXgA4xnOs","2DQ55sFlQl","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","EBcxylXtPf","rGHVDoGpnC","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3567","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=3567, right_input=2969, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3719","layer":3},{"info":"number node, value=4938","layer":4},{"info":"number node, value=2788","layer":4},{"info":"compute binary expreesion, left_input=4938, right_input=2788, 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=3719, right_input=-1, 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=2583","layer":4},{"info":"number node, value=1092","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=1092, 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 = 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=67, 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=3235","layer":4},{"info":"number node, value=7520","layer":4},{"info":"compute binary expreesion, left_input=3235, right_input=7520, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"number node, value=3602","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=3602, right_input=3168, 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 = 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=2646","layer":4},{"info":"number node, value=1194","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=1194, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1767, 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=160, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯313233⋹⋡⊁⪩⨒∯232121⋭≵⪩⨒∯1031022⪟⇏⪩⨒∯223210)⨎(∂(⪩⨒∯220113⪭≯⪩⨒∯101010))/⪩⨒∯302203⨽∌⪩⨒∯1311200⪔⊥⪩⨒∯320102∥⊢⊲⪩⨒∯301200⩍⋽⫝̸((⪩⨒∯221112⨵⪆⪩⨒∯102222)⨑≵⋬⪩⨒∯33223+⇶⊼⪩⨒∯123213)=NaN","reverse_text":"NaN=(⪩⨒∯313233⋹⋡⊁⪩⨒∯232121⋭≵⪩⨒∯1031022⪟⇏⪩⨒∯223210)⨎(∂(⪩⨒∯220113⪭≯⪩⨒∯101010))/⪩⨒∯302203⨽∌⪩⨒∯1311200⪔⊥⪩⨒∯320102∥⊢⊲⪩⨒∯301200⩍⋽⫝̸((⪩⨒∯221112⨵⪆⪩⨒∯102222)⨑≵⋬⪩⨒∯33223+⇶⊼⪩⨒∯123213)","cot":[{"info":"⪩⨒∯313233⋹⋡⊁⪩⨒∯232121=⪩⨒∯322013","layer":3},{"info":"⪩⨒∯1031022⪟⇏⪩⨒∯223210=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯322013⋭≵⪩⨒∯-1=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯220113⪭≯⪩⨒∯101010=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⪩⨒∯1003⨎NaN=NaN","layer":1},{"info":"⪩⨒∯302203⨽∌⪩⨒∯1311200=⪩⨒∯0","layer":3},{"info":"⪩⨒∯320102∥⊢⊲⪩⨒∯301200=NaN","layer":3},{"info":"⪩⨒∯0⪔⊥NaN=NaN","layer":2},{"info":"⪩⨒∯221112⨵⪆⪩⨒∯102222=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯33223+⇶⊼⪩⨒∯123213=NaN","layer":3},{"info":"⪩⨒∯2200⨑≵⋬NaN=NaN","layer":2},{"info":"NaN⩍⋽⫝̸NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":571,"expression_no_base_symbol":"((($1175$⨑≵⋬$4404$)∇⊂⋱(⫟$1052$))∀⊥⇻)⪨≂(⩩(($1185$⫌⩉⩟$1927$)⫦⪉(⩪∧⨌$4374$)))","expression":"(((⪩⨒∯102113⨑≵⋬⪩⨒∯1010310)∇⊂⋱(⫟⪩⨒∯100130))∀⊥⇻)⪨≂(⩩((⪩⨒∯102201⫌⩉⩟⪩⨒∯132013)⫦⪉(⩪∧⨌⪩⨒∯1010112)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15426,"operation_count":9,"complexity_ratio":1714.0,"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":1175,"base":4},"right_expr":{"type":"numeric_atoms","value":4404,"base":4}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1052,"base":4}}}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1185,"base":4},"right_expr":{"type":"numeric_atoms","value":1927,"base":4}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":4374,"base":4}}}}},"used_operators":["sdazOOVcIp","k4iM1060OG","nhYeJWJD5X","XnXgA4xnOs","z4E1FaHLuy","kMhfGuqI2H","wscyQdcy20","XIIwhv8d0m","6iOiAJX1F8"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":4},{"info":"number node, value=4404","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=4404, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-23574","layer":3},{"info":"number node, value=1052","layer":4},{"info":"compute unary expreesion, input=1052, 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=-2249","layer":3},{"info":"compute binary expreesion, left_input=-23574, right_input=-2249, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=4498","layer":2},{"info":"compute unary expreesion, input=4498, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":1},{"info":"number node, value=1185","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1927, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=4374","layer":4},{"info":"compute unary expreesion, input=4374, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=43740","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=43740, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=5000","layer":2},{"info":"compute unary expreesion, input=5000, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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":4,"result_base":4,"text":"(((⪩⨒∯102113⨑≵⋬⪩⨒∯1010310)∇⊂⋱(⫟⪩⨒∯100130))∀⊥⇻)⪨≂(⩩((⪩⨒∯102201⫌⩉⩟⪩⨒∯132013)⫦⪉(⩪∧⨌⪩⨒∯1010112)))=NaN","reverse_text":"NaN=(((⪩⨒∯102113⨑≵⋬⪩⨒∯1010310)∇⊂⋱(⫟⪩⨒∯100130))∀⊥⇻)⪨≂(⩩((⪩⨒∯102201⫌⩉⩟⪩⨒∯132013)⫦⪉(⩪∧⨌⪩⨒∯1010112)))","cot":[{"info":"⪩⨒∯102113⨑≵⋬⪩⨒∯1010310=⪩⨒∯-11300112","layer":3},{"info":"⫟⪩⨒∯100130=⪩⨒∯-203021","layer":3},{"info":"⪩⨒∯-11300112∇⊂⋱⪩⨒∯-203021=⪩⨒∯1012102","layer":2},{"info":"⪩⨒∯1012102∀⊥⇻=⪩⨒∯0","layer":1},{"info":"⪩⨒∯102201⫌⩉⩟⪩⨒∯132013=⪩⨒∯-302","layer":3},{"info":"⩪∧⨌⪩⨒∯1010112=⪩⨒∯22223130","layer":3},{"info":"⪩⨒∯-302⫦⪉⪩⨒∯22223130=⪩⨒∯1032020","layer":2},{"info":"⩩⪩⨒∯1032020=NaN","layer":1},{"info":"⪩⨒∯0⪨≂NaN=NaN","layer":0}]}
{"id":572,"expression_no_base_symbol":"(($2352$⨸⪁$1447$)↡⊰⫅$6494$⩼⇪↪$4026$∕⩚(⨮↦↱($2785$⋅⇍$1266$)))⫢⨠((($1745$⫭)∖($5788$⪠⩆⊳))*(⫇$4615$)⨚⇆(≋$1557$))","expression":"((⪩⨒∯210300⨸⪁⪩⨒∯112213)↡⊰⫅⪩⨒∯1211132⩼⇪↪⪩⨒∯332322∕⩚(⨮↦↱(⪩⨒∯223201⋅⇍⪩⨒∯103302)))⫢⨠(((⪩⨒∯123101⫭)∖(⪩⨒∯1122130⪠⩆⊳))*(⫇⪩⨒∯1020013)⨚⇆(≋⪩⨒∯120111))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":280661,"operation_count":14,"complexity_ratio":20047.214285714286,"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":2352,"base":4},"right_expr":{"type":"numeric_atoms","value":1447,"base":4}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":6494,"base":4},"right_expr":{"type":"numeric_atoms","value":4026,"base":4}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2785,"base":4},"right_expr":{"type":"numeric_atoms","value":1266,"base":4}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":1745,"base":4}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5788,"base":4}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":4615,"base":4}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1557,"base":4}}}}},"used_operators":["xlXykHWxX1","z9ffQ9n5Zr","VCtxkLNOzz","g55IO6H4Gj","ocnLzx9CaJ","sYcpBQ0cFf","AdZkA7nFnk","9HNa5Wba9A","tXD093vOjl","t4WUHVGj7f","JLbD19bQDL","lwHaAYXP2r","YjI8oCXuph","61wBmkZwlr"],"dependent_operators":["KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2352","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=2352, right_input=1447, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7598","layer":3},{"info":"number node, value=6494","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=6494, right_input=4026, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-15977","layer":3},{"info":"compute binary expreesion, left_input=7598, right_input=-15977, 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=2785","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=2785, right_input=1266, 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 = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-704166","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-704166, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":1},{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=5476","layer":3},{"info":"number node, value=5788","layer":4},{"info":"compute unary expreesion, input=5788, 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=5476, 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=4615","layer":4},{"info":"compute unary expreesion, input=4615, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-8016","layer":3},{"info":"number node, value=1557","layer":4},{"info":"compute unary expreesion, input=1557, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1557","layer":3},{"info":"compute binary expreesion, left_input=-8016, right_input=1557, 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 binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-487, right_input=nan, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯210300⨸⪁⪩⨒∯112213)↡⊰⫅⪩⨒∯1211132⩼⇪↪⪩⨒∯332322∕⩚(⨮↦↱(⪩⨒∯223201⋅⇍⪩⨒∯103302)))⫢⨠(((⪩⨒∯123101⫭)∖(⪩⨒∯1122130⪠⩆⊳))*(⫇⪩⨒∯1020013)⨚⇆(≋⪩⨒∯120111))=NaN","reverse_text":"NaN=((⪩⨒∯210300⨸⪁⪩⨒∯112213)↡⊰⫅⪩⨒∯1211132⩼⇪↪⪩⨒∯332322∕⩚(⨮↦↱(⪩⨒∯223201⋅⇍⪩⨒∯103302)))⫢⨠(((⪩⨒∯123101⫭)∖(⪩⨒∯1122130⪠⩆⊳))*(⫇⪩⨒∯1020013)⨚⇆(≋⪩⨒∯120111))","cot":[{"info":"⪩⨒∯210300⨸⪁⪩⨒∯112213=⪩⨒∯1312232","layer":3},{"info":"⪩⨒∯1211132⩼⇪↪⪩⨒∯332322=⪩⨒∯-3321221","layer":3},{"info":"⪩⨒∯1312232↡⊰⫅⪩⨒∯-3321221=NaN","layer":2},{"info":"⪩⨒∯223201⋅⇍⪩⨒∯103302=⪩⨒∯-112","layer":3},{"info":"⨮↦↱⪩⨒∯-112=⪩⨒∯-2223322212","layer":2},{"info":"NaN∕⩚⪩⨒∯-2223322212=⪩⨒∯-13213","layer":1},{"info":"⪩⨒∯123101⫭=⪩⨒∯1111210","layer":3},{"info":"⪩⨒∯1122130⪠⩆⊳=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1111210∖⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⫇⪩⨒∯1020013=⪩⨒∯-1331100","layer":3},{"info":"≋⪩⨒∯120111=⪩⨒∯120111","layer":3},{"info":"⪩⨒∯-1331100⨚⇆⪩⨒∯120111=NaN","layer":2},{"info":"⪩⨒∯0*NaN=NaN","layer":1},{"info":"⪩⨒∯-13213⫢⨠NaN=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"⊤⊝(≻⋜(≪(⨦⪝$3010$)))","expression":"⊤⊝(≻⋜(≪(⨦⪝⪩⨒∯233002)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":112683,"operation_count":4,"complexity_ratio":28170.75,"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":3010,"base":4}}}}},"used_operators":["rXAclfmB4M","3tj9sqzovi","Qtd6bqUJcN","SUjycxNXIR"],"dependent_operators":["sdazOOVcIp","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3010","layer":4},{"info":"compute unary expreesion, input=3010, 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 = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=22479","layer":2},{"info":"compute unary expreesion, input=22479, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⊤⊝(≻⋜(≪(⨦⪝⪩⨒∯233002)))=NaN","reverse_text":"NaN=⊤⊝(≻⋜(≪(⨦⪝⪩⨒∯233002)))","cot":[{"info":"⨦⪝⪩⨒∯233002=⪩⨒∯-131130","layer":3},{"info":"≪⪩⨒∯-131130=⪩⨒∯11133033","layer":2},{"info":"≻⋜⪩⨒∯11133033=NaN","layer":1},{"info":"⊤⊝NaN=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"(∥⊫$5153$⇣⩺⋵$4267$)⇡⇂(⫶⊄≣($1491$∛≔))≠≀($1522$⫁$2650$⨚($1190$⊲⩕⊾$3037$))⨚($2903$∽$2722$)⇡⇂($3373$∛$6058$)","expression":"(∥⊫⪩⨒∯1100201⇣⩺⋵⪩⨒∯1002223)⇡⇂(⫶⊄≣(⪩⨒∯113103∛≔))≠≀(⪩⨒∯113302⫁⪩⨒∯221122⨚(⪩⨒∯102212⊲⩕⊾⪩⨒∯233131))⨚(⪩⨒∯231113∽⪩⨒∯222202)⇡⇂(⪩⨒∯310231∛⪩⨒∯1132222)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":124741244,"operation_count":13,"complexity_ratio":9595480.307692308,"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":5153,"base":4},"right_expr":{"type":"numeric_atoms","value":4267,"base":4}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":1491,"base":4}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":1522,"base":4},"right_expr":{"type":"numeric_atoms","value":2650,"base":4}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1190,"base":4},"right_expr":{"type":"numeric_atoms","value":3037,"base":4}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2903,"base":4},"right_expr":{"type":"numeric_atoms","value":2722,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3373,"base":4},"right_expr":{"type":"numeric_atoms","value":6058,"base":4}}}}},"used_operators":["IwW236VD4Y","UMwdvZNt44","P8v4zCKN1o","F4yD0voBRQ","wxb3vTeyAj","mGnSCrte3L","nREPSIbpBE","0ajvFaJAv0","DmTXOeWf9t","y4ImoPnbV5","w2537kitQq"],"dependent_operators":["eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","BjRHVeLaeN","12rbrZMWeM","cHh1gJQ2o6","AHs5Up7iyr","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","NTOWxs364D","QMFrweE19q","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⪩⨒∯113320","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5153","layer":4},{"info":"number node, value=4267","layer":4},{"info":"compute binary expreesion, left_input=5153, right_input=4267, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=608","layer":2},{"info":"number node, value=1491","layer":4},{"info":"compute unary expreesion, input=1491, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-124355405","layer":3},{"info":"compute unary expreesion, input=-124355405, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=608, 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=-611","layer":1},{"info":"number node, value=1522","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=1522, right_input=2650, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1190","layer":4},{"info":"number node, value=3037","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=3037, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-46040","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-46040, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=185414","layer":2},{"info":"number node, value=2903","layer":4},{"info":"number node, value=2722","layer":4},{"info":"compute binary expreesion, left_input=2903, right_input=2722, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-22503","layer":3},{"info":"number node, value=3373","layer":4},{"info":"number node, value=6058","layer":4},{"info":"compute binary expreesion, left_input=3373, right_input=6058, 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=-22503, 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=nan","layer":2},{"info":"compute binary expreesion, left_input=185414, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-611, right_input=nan, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=1528","layer":0}],"base":4,"result_base":4,"text":"(∥⊫⪩⨒∯1100201⇣⩺⋵⪩⨒∯1002223)⇡⇂(⫶⊄≣(⪩⨒∯113103∛≔))≠≀(⪩⨒∯113302⫁⪩⨒∯221122⨚(⪩⨒∯102212⊲⩕⊾⪩⨒∯233131))⨚(⪩⨒∯231113∽⪩⨒∯222202)⇡⇂(⪩⨒∯310231∛⪩⨒∯1132222)=⪩⨒∯113320","reverse_text":"⪩⨒∯113320=(∥⊫⪩⨒∯1100201⇣⩺⋵⪩⨒∯1002223)⇡⇂(⫶⊄≣(⪩⨒∯113103∛≔))≠≀(⪩⨒∯113302⫁⪩⨒∯221122⨚(⪩⨒∯102212⊲⩕⊾⪩⨒∯233131))⨚(⪩⨒∯231113∽⪩⨒∯222202)⇡⇂(⪩⨒∯310231∛⪩⨒∯1132222)","cot":[{"info":"⪩⨒∯1100201⇣⩺⋵⪩⨒∯1002223=⪩⨒∯-10010","layer":3},{"info":"∥⊫⪩⨒∯-10010=⪩⨒∯21200","layer":2},{"info":"⪩⨒∯113103∛≔=⪩⨒∯-13122120031031","layer":3},{"info":"⫶⊄≣⪩⨒∯-13122120031031=NaN","layer":2},{"info":"⪩⨒∯21200⇡⇂NaN=⪩⨒∯-21203","layer":1},{"info":"⪩⨒∯113302⫁⪩⨒∯221122=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯102212⊲⩕⊾⪩⨒∯233131=⪩⨒∯-23033120","layer":3},{"info":"⪩⨒∯2200⨚⪩⨒∯-23033120=⪩⨒∯231101012","layer":2},{"info":"⪩⨒∯231113∽⪩⨒∯222202=⪩⨒∯-11133213","layer":3},{"info":"⪩⨒∯310231∛⪩⨒∯1132222=⪩⨒∯-22132","layer":3},{"info":"⪩⨒∯-11133213⇡⇂⪩⨒∯-22132=NaN","layer":2},{"info":"⪩⨒∯231101012⨚NaN=NaN","layer":1},{"info":"⪩⨒∯-21203≠≀NaN=⪩⨒∯113320","layer":0}]}
{"id":575,"expression_no_base_symbol":"($3206$≭$2915$⩭)⊝⪿⪼(⩷⨜⫀($8764$⪎↠$1970$))⊠≄⫣","expression":"(⪩⨒∯302012≭⪩⨒∯231203⩭)⊝⪿⪼(⩷⨜⫀(⪩⨒∯2020330⪎↠⪩⨒∯132302))⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":258,"operation_count":6,"complexity_ratio":43.0,"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":3206,"base":4},"right_expr":{"type":"numeric_atoms","value":2915,"base":4}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":8764,"base":4},"right_expr":{"type":"numeric_atoms","value":1970,"base":4}}}}},"used_operators":["DIvbN7qnHd","3Oe9XWJUTD","yIPP7u6H5x","rxpJgHHUmx","CDi0ktkjQ4","3tVxb0NHM4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","AHs5Up7iyr","ruOEQAzv1W","nhYeJWJD5X","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3206","layer":4},{"info":"number node, value=2915","layer":4},{"info":"compute binary expreesion, left_input=3206, right_input=2915, 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 = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":2},{"info":"number node, value=8764","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=8764, right_input=1970, 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 = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=113, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯302012≭⪩⨒∯231203⩭)⊝⪿⪼(⩷⨜⫀(⪩⨒∯2020330⪎↠⪩⨒∯132302))⊠≄⫣=NaN","reverse_text":"NaN=(⪩⨒∯302012≭⪩⨒∯231203⩭)⊝⪿⪼(⩷⨜⫀(⪩⨒∯2020330⪎↠⪩⨒∯132302))⊠≄⫣","cot":[{"info":"⪩⨒∯302012≭⪩⨒∯231203=NaN","layer":3},{"info":"NaN⩭=NaN","layer":2},{"info":"⪩⨒∯2020330⪎↠⪩⨒∯132302=⪩⨒∯2200","layer":3},{"info":"⩷⨜⫀⪩⨒∯2200=⪩⨒∯1301","layer":2},{"info":"NaN⊝⪿⪼⪩⨒∯1301=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":576,"expression_no_base_symbol":"∮((⇙⪊$1107$)⪘⫢($1836$%$2956$)⨳⩥⨓($1095$+⪬∐$3483$)⩖⊿($1276$≓∲$2140$))","expression":"∮((⇙⪊⪩⨒∯101103)⪘⫢(⪩⨒∯130230%⪩⨒∯232030)⨳⩥⨓(⪩⨒∯101013+⪬∐⪩⨒∯312123)⩖⊿(⪩⨒∯103330≓∲⪩⨒∯201130))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":610,"operation_count":8,"complexity_ratio":76.25,"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":1107,"base":4}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1836,"base":4},"right_expr":{"type":"numeric_atoms","value":2956,"base":4}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1095,"base":4},"right_expr":{"type":"numeric_atoms","value":3483,"base":4}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":1276,"base":4},"right_expr":{"type":"numeric_atoms","value":2140,"base":4}}}}},"used_operators":["CqXKPLVYql","nCS4ZIUYfx","oacrs7FA3X","pB6Fcnrjim","k8jYdgA6NY","RZ5CV9rWsJ","2GS7woTJqF","s1XTVnmDOJ"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","rysDP5nf3Z","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","g55IO6H4Gj","D4vGDi5EA2","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⪩⨒∯-1000000020","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":3},{"info":"number node, value=1836","layer":4},{"info":"number node, value=2956","layer":4},{"info":"compute binary expreesion, left_input=1836, right_input=2956, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1836","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1836, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=3483","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=3483, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-3285","layer":3},{"info":"number node, value=1276","layer":4},{"info":"number node, value=2140","layer":4},{"info":"compute binary expreesion, left_input=1276, right_input=2140, 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=13543","layer":3},{"info":"compute binary expreesion, left_input=-3285, right_input=13543, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-25172","layer":2},{"info":"compute binary expreesion, left_input=-1156, right_input=-25172, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-24016","layer":1},{"info":"compute unary expreesion, input=-24016, 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=-262152","layer":0}],"base":4,"result_base":4,"text":"∮((⇙⪊⪩⨒∯101103)⪘⫢(⪩⨒∯130230%⪩⨒∯232030)⨳⩥⨓(⪩⨒∯101013+⪬∐⪩⨒∯312123)⩖⊿(⪩⨒∯103330≓∲⪩⨒∯201130))=⪩⨒∯-1000000020","reverse_text":"⪩⨒∯-1000000020=∮((⇙⪊⪩⨒∯101103)⪘⫢(⪩⨒∯130230%⪩⨒∯232030)⨳⩥⨓(⪩⨒∯101013+⪬∐⪩⨒∯312123)⩖⊿(⪩⨒∯103330≓∲⪩⨒∯201130))","cot":[{"info":"⇙⪊⪩⨒∯101103=⪩⨒∯0","layer":3},{"info":"⪩⨒∯130230%⪩⨒∯232030=⪩⨒∯130230","layer":3},{"info":"⪩⨒∯0⪘⫢⪩⨒∯130230=⪩⨒∯-102010","layer":2},{"info":"⪩⨒∯101013+⪬∐⪩⨒∯312123=⪩⨒∯-303111","layer":3},{"info":"⪩⨒∯103330≓∲⪩⨒∯201130=⪩⨒∯3103213","layer":3},{"info":"⪩⨒∯-303111⩖⊿⪩⨒∯3103213=⪩⨒∯-12021110","layer":2},{"info":"⪩⨒∯-102010⨳⩥⨓⪩⨒∯-12021110=⪩⨒∯-11313100","layer":1},{"info":"∮⪩⨒∯-11313100=⪩⨒∯-1000000020","layer":0}]}
{"id":577,"expression_no_base_symbol":"⊿(($4189$*$3583$)⪔⊥(∨∊⋏$1050$))∴(($1436$⋥≓≎$3577$)⫢⨠($3143$⊋≦⊧$2623$))","expression":"⊿((⪩⨒∯1001131*⪩⨒∯313333)⪔⊥(∨∊⋏⪩⨒∯100122))∴((⪩⨒∯112130⋥≓≎⪩⨒∯313321)⫢⨠(⪩⨒∯301013⊋≦⊧⪩⨒∯220333))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3788,"operation_count":8,"complexity_ratio":473.5,"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":4189,"base":4},"right_expr":{"type":"numeric_atoms","value":3583,"base":4}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":1050,"base":4}}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1436,"base":4},"right_expr":{"type":"numeric_atoms","value":3577,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3143,"base":4},"right_expr":{"type":"numeric_atoms","value":2623,"base":4}}}}},"used_operators":["DO4fhlbJSI","hrf7POJlIJ","HJ9erzHUuu","9HNa5Wba9A","R5aXW34M0v","xlXykHWxX1","Qy55tPpLXF","oRDoc9rAEX"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","W4YGzv6Whe","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"⪩⨒∯-130213131303122","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4189","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=4189, right_input=3583, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15009187","layer":3},{"info":"number node, value=1050","layer":4},{"info":"compute unary expreesion, input=1050, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=11999","layer":3},{"info":"compute binary expreesion, left_input=15009187, right_input=11999, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=60012551","layer":2},{"info":"number node, value=1436","layer":4},{"info":"number node, value=3577","layer":4},{"info":"compute binary expreesion, left_input=1436, right_input=3577, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5751","layer":3},{"info":"number node, value=3143","layer":4},{"info":"number node, value=2623","layer":4},{"info":"compute binary expreesion, left_input=3143, right_input=2623, 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=-5006","layer":3},{"info":"compute binary expreesion, left_input=5751, right_input=-5006, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=60012551, right_input=160, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=120026750","layer":1},{"info":"compute unary expreesion, input=120026750, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-480107738","layer":0}],"base":4,"result_base":4,"text":"⊿((⪩⨒∯1001131*⪩⨒∯313333)⪔⊥(∨∊⋏⪩⨒∯100122))∴((⪩⨒∯112130⋥≓≎⪩⨒∯313321)⫢⨠(⪩⨒∯301013⊋≦⊧⪩⨒∯220333))=⪩⨒∯-130213131303122","reverse_text":"⪩⨒∯-130213131303122=⊿((⪩⨒∯1001131*⪩⨒∯313333)⪔⊥(∨∊⋏⪩⨒∯100122))∴((⪩⨒∯112130⋥≓≎⪩⨒∯313321)⫢⨠(⪩⨒∯301013⊋≦⊧⪩⨒∯220333))","cot":[{"info":"⪩⨒∯1001131*⪩⨒∯313333=⪩⨒∯321100112203","layer":3},{"info":"∨∊⋏⪩⨒∯100122=⪩⨒∯2323133","layer":3},{"info":"⪩⨒∯321100112203⪔⊥⪩⨒∯2323133=⪩⨒∯3210323200013","layer":2},{"info":"⪩⨒∯112130⋥≓≎⪩⨒∯313321=⪩⨒∯1121313","layer":3},{"info":"⪩⨒∯301013⊋≦⊧⪩⨒∯220333=⪩⨒∯-1032032","layer":3},{"info":"⪩⨒∯1121313⫢⨠⪩⨒∯-1032032=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯3210323200013∴⪩⨒∯2200=⪩⨒∯13021313121332","layer":1},{"info":"⊿⪩⨒∯13021313121332=⪩⨒∯-130213131303122","layer":0}]}
{"id":578,"expression_no_base_symbol":"⊿(($8297$/$4263$)⫁($1467$⫳≱↱$5049$))⫗⊷⫓((⋎⨆$6351$)⫣⪄⊒(≯$1489$))","expression":"⊿((⪩⨒∯2001221/⪩⨒∯1002213)⫁(⪩⨒∯112323⫳≱↱⪩⨒∯1032321))⫗⊷⫓((⋎⨆⪩⨒∯1203033)⫣⪄⊒(≯⪩⨒∯113101))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":124047,"operation_count":8,"complexity_ratio":15505.875,"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":8297,"base":4},"right_expr":{"type":"numeric_atoms","value":4263,"base":4}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1467,"base":4},"right_expr":{"type":"numeric_atoms","value":5049,"base":4}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":6351,"base":4}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"numeric_atoms","value":1489,"base":4}}}}},"used_operators":["DO4fhlbJSI","zashukvMKz","0ajvFaJAv0","XhwjNDsVaA","ZvLB05nZmT","RabNbG55vr","E64sFOc4tB","keWfFq85dY"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","cHh1gJQ2o6","AHs5Up7iyr","rysDP5nf3Z","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","g55IO6H4Gj","JLbD19bQDL"],"result":"⪩⨒∯-3022","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8297","layer":4},{"info":"number node, value=4263","layer":4},{"info":"compute binary expreesion, left_input=8297, right_input=4263, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=1467","layer":4},{"info":"number node, value=5049","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=5049, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-204, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=6351","layer":4},{"info":"compute unary expreesion, input=6351, 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=1489","layer":4},{"info":"compute unary expreesion, input=1489, op_id = keWfFq85dY, unary_op_definition = '≯a = { ((a⨸⪁a)⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, 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=160, right_input=160, 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 unary expreesion, input=-134, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-202","layer":0}],"base":4,"result_base":4,"text":"⊿((⪩⨒∯2001221/⪩⨒∯1002213)⫁(⪩⨒∯112323⫳≱↱⪩⨒∯1032321))⫗⊷⫓((⋎⨆⪩⨒∯1203033)⫣⪄⊒(≯⪩⨒∯113101))=⪩⨒∯-3022","reverse_text":"⪩⨒∯-3022=⊿((⪩⨒∯2001221/⪩⨒∯1002213)⫁(⪩⨒∯112323⫳≱↱⪩⨒∯1032321))⫗⊷⫓((⋎⨆⪩⨒∯1203033)⫣⪄⊒(≯⪩⨒∯113101))","cot":[{"info":"⪩⨒∯2001221/⪩⨒∯1002213=⪩⨒∯1","layer":3},{"info":"⪩⨒∯112323⫳≱↱⪩⨒∯1032321=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯1⫁⪩⨒∯-3030=⪩⨒∯2200","layer":2},{"info":"⋎⨆⪩⨒∯1203033=⪩⨒∯0","layer":3},{"info":"≯⪩⨒∯113101=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⫣⪄⊒⪩⨒∯0=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯2200⫗⊷⫓⪩⨒∯2200=⪩⨒∯-2012","layer":1},{"info":"⊿⪩⨒∯-2012=⪩⨒∯-3022","layer":0}]}
{"id":579,"expression_no_base_symbol":"(($2050$≠≀$2019$)⩣⫁∢($2896$⩨$2053$)⊎←↗)↳≱(($1341$⫢⨠$3329$⨭⪣($1080$⫡⨏$4411$))⇷(⨑⩽⪐$2479$∘$3016$))","expression":"((⪩⨒∯200002≠≀⪩⨒∯133203)⩣⫁∢(⪩⨒∯231100⩨⪩⨒∯200011)⊎←↗)↳≱((⪩⨒∯110331⫢⨠⪩⨒∯310001⨭⪣(⪩⨒∯100320⫡⨏⪩⨒∯1010323))⇷(⨑⩽⪐⪩⨒∯212233∘⪩⨒∯233020))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6983,"operation_count":11,"complexity_ratio":634.8181818181819,"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":2050,"base":4},"right_expr":{"type":"numeric_atoms","value":2019,"base":4}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2896,"base":4},"right_expr":{"type":"numeric_atoms","value":2053,"base":4}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":1341,"base":4},"right_expr":{"type":"numeric_atoms","value":3329,"base":4}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1080,"base":4},"right_expr":{"type":"numeric_atoms","value":4411,"base":4}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2479,"base":4},"right_expr":{"type":"numeric_atoms","value":3016,"base":4}}}}},"used_operators":["JwTKLfZU96","dwb5p0fa6d","JDUIKTTSIa","IwW236VD4Y","2DlMacCsIx","mp7IySMOzn","kn8WO9XteQ","xlXykHWxX1","QMFrweE19q","AF7qkfDlqP","Z5m6OM72h2"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","sdazOOVcIp","COABgblf1C","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eH2TOUuTDT","rysDP5nf3Z"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2050","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=2019, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3794","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=2053, 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=-3794, right_input=0, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=15741","layer":2},{"info":"compute unary expreesion, input=15741, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-30797","layer":1},{"info":"number node, value=1341","layer":4},{"info":"number node, value=3329","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=3329, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=1080","layer":4},{"info":"number node, value=4411","layer":4},{"info":"compute binary expreesion, left_input=1080, right_input=4411, 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=15005","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=15005, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-482","layer":2},{"info":"number node, value=2479","layer":4},{"info":"number node, value=3016","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=3016, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4958","layer":3},{"info":"compute unary expreesion, input=4958, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4685","layer":2},{"info":"compute binary expreesion, left_input=-482, right_input=-4685, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-30797, right_input=nan, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯200002≠≀⪩⨒∯133203)⩣⫁∢(⪩⨒∯231100⩨⪩⨒∯200011)⊎←↗)↳≱((⪩⨒∯110331⫢⨠⪩⨒∯310001⨭⪣(⪩⨒∯100320⫡⨏⪩⨒∯1010323))⇷(⨑⩽⪐⪩⨒∯212233∘⪩⨒∯233020))=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯200002≠≀⪩⨒∯133203)⩣⫁∢(⪩⨒∯231100⩨⪩⨒∯200011)⊎←↗)↳≱((⪩⨒∯110331⫢⨠⪩⨒∯310001⨭⪣(⪩⨒∯100320⫡⨏⪩⨒∯1010323))⇷(⨑⩽⪐⪩⨒∯212233∘⪩⨒∯233020))","cot":[{"info":"⪩⨒∯200002≠≀⪩⨒∯133203=⪩⨒∯-323102","layer":3},{"info":"⪩⨒∯231100⩨⪩⨒∯200011=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-323102⩣⫁∢⪩⨒∯0=⪩⨒∯3311331","layer":2},{"info":"⪩⨒∯3311331⊎←↗=⪩⨒∯-13201031","layer":1},{"info":"⪩⨒∯110331⫢⨠⪩⨒∯310001=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯100320⫡⨏⪩⨒∯1010323=⪩⨒∯3222131","layer":3},{"info":"⪩⨒∯2200⨭⪣⪩⨒∯3222131=⪩⨒∯-13202","layer":2},{"info":"⪩⨒∯212233∘⪩⨒∯233020=⪩⨒∯1031132","layer":3},{"info":"⨑⩽⪐⪩⨒∯1031132=⪩⨒∯-1021031","layer":2},{"info":"⪩⨒∯-13202⇷⪩⨒∯-1021031=NaN","layer":1},{"info":"⪩⨒∯-13201031↳≱NaN=⪩⨒∯0","layer":0}]}
{"id":580,"expression_no_base_symbol":"∨∊⋏(($3990$≎⊠⪸$4414$)≎⪠($2153$⊋≦⊧$2716$)⪒($2072$⊹∫⫚$5984$)⫁($1099$↙$2703$))","expression":"∨∊⋏((⪩⨒∯332112≎⊠⪸⪩⨒∯1010332)≎⪠(⪩⨒∯201221⊋≦⊧⪩⨒∯222130)⪒(⪩⨒∯200120⊹∫⫚⪩⨒∯1131200)⫁(⪩⨒∯101023↙⪩⨒∯222033))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":46725,"operation_count":8,"complexity_ratio":5840.625,"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":3990,"base":4},"right_expr":{"type":"numeric_atoms","value":4414,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":2153,"base":4},"right_expr":{"type":"numeric_atoms","value":2716,"base":4}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2072,"base":4},"right_expr":{"type":"numeric_atoms","value":5984,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1099,"base":4},"right_expr":{"type":"numeric_atoms","value":2703,"base":4}}}}},"used_operators":["R5aXW34M0v","f6k1SAg4EE","aNhz54LH3e","bJkvcejdHO","oRDoc9rAEX","0ajvFaJAv0","uWAJUKEvyW","yyfyN0ffXY"],"dependent_operators":["L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","cHh1gJQ2o6","AHs5Up7iyr","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","tmPS8pqC7x","DpFCA1CohY"],"result":"⪩⨒∯-2021112201","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3990","layer":4},{"info":"number node, value=4414","layer":4},{"info":"compute binary expreesion, left_input=3990, right_input=4414, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1032937","layer":3},{"info":"number node, value=2153","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=2153, right_input=2716, 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=-4629","layer":3},{"info":"compute binary expreesion, left_input=1032937, right_input=-4629, 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=2072","layer":4},{"info":"number node, value=5984","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=5984, 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":"number node, value=1099","layer":4},{"info":"number node, value=2703","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=2703, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8109","layer":3},{"info":"compute binary expreesion, left_input=-220, right_input=-8109, 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=19558, right_input=160, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-19718","layer":1},{"info":"compute unary expreesion, input=-19718, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-562593","layer":0}],"base":4,"result_base":4,"text":"∨∊⋏((⪩⨒∯332112≎⊠⪸⪩⨒∯1010332)≎⪠(⪩⨒∯201221⊋≦⊧⪩⨒∯222130)⪒(⪩⨒∯200120⊹∫⫚⪩⨒∯1131200)⫁(⪩⨒∯101023↙⪩⨒∯222033))=⪩⨒∯-2021112201","reverse_text":"⪩⨒∯-2021112201=∨∊⋏((⪩⨒∯332112≎⊠⪸⪩⨒∯1010332)≎⪠(⪩⨒∯201221⊋≦⊧⪩⨒∯222130)⪒(⪩⨒∯200120⊹∫⫚⪩⨒∯1131200)⫁(⪩⨒∯101023↙⪩⨒∯222033))","cot":[{"info":"⪩⨒∯332112≎⊠⪸⪩⨒∯1010332=⪩⨒∯3330023221","layer":3},{"info":"⪩⨒∯201221⊋≦⊧⪩⨒∯222130=⪩⨒∯-1020111","layer":3},{"info":"⪩⨒∯3330023221≎⪠⪩⨒∯-1020111=⪩⨒∯10301212","layer":2},{"info":"⪩⨒∯200120⊹∫⫚⪩⨒∯1131200=⪩⨒∯-3130","layer":3},{"info":"⪩⨒∯101023↙⪩⨒∯222033=⪩⨒∯-1332231","layer":3},{"info":"⪩⨒∯-3130⫁⪩⨒∯-1332231=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯10301212⪒⪩⨒∯2200=⪩⨒∯-10310012","layer":1},{"info":"∨∊⋏⪩⨒∯-10310012=⪩⨒∯-2021112201","layer":0}]}
{"id":581,"expression_no_base_symbol":"(⩷⨜⫀(≸$3640$))⫲≸⪮($2758$⨪↰⇹$3975$)∴($2184$⋻⩜⩜$6505$)⨵⪆((⋗⩬⋾$1011$)⩺⪪(⫟$1204$))⫞⩸⩒(($1677$⨰$3589$)∼($4960$⫒⫫$4585$))","expression":"(⩷⨜⫀(≸⪩⨒∯320320))⫲≸⪮(⪩⨒∯223012⨪↰⇹⪩⨒∯332013)∴(⪩⨒∯202020⋻⩜⩜⪩⨒∯1211221)⨵⪆((⋗⩬⋾⪩⨒∯33303)⩺⪪(⫟⪩⨒∯102310))⫞⩸⩒((⪩⨒∯122031⨰⪩⨒∯320011)∼(⪩⨒∯1031200⫒⫫⪩⨒∯1013221))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":94329,"operation_count":14,"complexity_ratio":6737.785714285715,"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":3640,"base":4}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2758,"base":4},"right_expr":{"type":"numeric_atoms","value":3975,"base":4}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2184,"base":4},"right_expr":{"type":"numeric_atoms","value":6505,"base":4}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1011,"base":4}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"numeric_atoms","value":1204,"base":4}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1677,"base":4},"right_expr":{"type":"numeric_atoms","value":3589,"base":4}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4960,"base":4},"right_expr":{"type":"numeric_atoms","value":4585,"base":4}}}}},"used_operators":["2DQ55sFlQl","P3lXMJvFrc","CDi0ktkjQ4","eOf03JbCpp","hrf7POJlIJ","tmPS8pqC7x","oDCm7WA9JY","XGcMNugi78","uvdQJvN4PV","DpFCA1CohY","z4E1FaHLuy","DyGG3AbaNP","eewbuw0ToL","6Ko8hGgeMq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","ruOEQAzv1W","nhYeJWJD5X","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rJVOvQCfKK","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3640","layer":4},{"info":"compute unary expreesion, input=3640, 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 = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=215","layer":2},{"info":"number node, value=2758","layer":4},{"info":"number node, value=3975","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=3975, 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=2758","layer":3},{"info":"number node, value=2184","layer":4},{"info":"number node, value=6505","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=6505, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4368","layer":3},{"info":"compute binary expreesion, left_input=2758, right_input=4368, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7164","layer":2},{"info":"compute binary expreesion, left_input=215, right_input=7164, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=215","layer":1},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3033","layer":3},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, 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=-2705","layer":3},{"info":"compute binary expreesion, left_input=-3033, right_input=-2705, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":2},{"info":"number node, value=1677","layer":4},{"info":"number node, value=3589","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=3589, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1902","layer":3},{"info":"number node, value=4960","layer":4},{"info":"number node, value=4585","layer":4},{"info":"compute binary expreesion, left_input=4960, right_input=4585, 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=-1902, 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":2},{"info":"compute binary expreesion, left_input=1914, 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=1914","layer":1},{"info":"compute binary expreesion, left_input=215, right_input=1914, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":4,"result_base":4,"text":"(⩷⨜⫀(≸⪩⨒∯320320))⫲≸⪮(⪩⨒∯223012⨪↰⇹⪩⨒∯332013)∴(⪩⨒∯202020⋻⩜⩜⪩⨒∯1211221)⨵⪆((⋗⩬⋾⪩⨒∯33303)⩺⪪(⫟⪩⨒∯102310))⫞⩸⩒((⪩⨒∯122031⨰⪩⨒∯320011)∼(⪩⨒∯1031200⫒⫫⪩⨒∯1013221))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(⩷⨜⫀(≸⪩⨒∯320320))⫲≸⪮(⪩⨒∯223012⨪↰⇹⪩⨒∯332013)∴(⪩⨒∯202020⋻⩜⩜⪩⨒∯1211221)⨵⪆((⋗⩬⋾⪩⨒∯33303)⩺⪪(⫟⪩⨒∯102310))⫞⩸⩒((⪩⨒∯122031⨰⪩⨒∯320011)∼(⪩⨒∯1031200⫒⫫⪩⨒∯1013221))","cot":[{"info":"≸⪩⨒∯320320=⪩⨒∯322","layer":3},{"info":"⩷⨜⫀⪩⨒∯322=⪩⨒∯3113","layer":2},{"info":"⪩⨒∯223012⨪↰⇹⪩⨒∯332013=⪩⨒∯223012","layer":3},{"info":"⪩⨒∯202020⋻⩜⩜⪩⨒∯1211221=⪩⨒∯1010100","layer":3},{"info":"⪩⨒∯223012∴⪩⨒∯1010100=⪩⨒∯1233330","layer":2},{"info":"⪩⨒∯3113⫲≸⪮⪩⨒∯1233330=⪩⨒∯3113","layer":1},{"info":"⋗⩬⋾⪩⨒∯33303=⪩⨒∯-233121","layer":3},{"info":"⫟⪩⨒∯102310=⪩⨒∯-222101","layer":3},{"info":"⪩⨒∯-233121⩺⪪⪩⨒∯-222101=⪩⨒∯131322","layer":2},{"info":"⪩⨒∯122031⨰⪩⨒∯320011=⪩⨒∯-131232","layer":3},{"info":"⪩⨒∯1031200⫒⫫⪩⨒∯1013221=NaN","layer":3},{"info":"⪩⨒∯-131232∼NaN=NaN","layer":2},{"info":"⪩⨒∯131322⫞⩸⩒NaN=⪩⨒∯131322","layer":1},{"info":"⪩⨒∯3113⨵⪆⪩⨒∯131322=⪩⨒∯2200","layer":0}]}
{"id":582,"expression_no_base_symbol":"↯⪼(($8268$⫗⊷⫓$5762$⫚↹⊑(⫇$1970$))∀⇚≩(⋗⩬⋾($5191$⪄$2548$)))","expression":"↯⪼((⪩⨒∯2001030⫗⊷⫓⪩⨒∯1122002⫚↹⊑(⫇⪩⨒∯132302))∀⇚≩(⋗⩬⋾(⪩⨒∯1101013⪄⪩⨒∯213310)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3935,"operation_count":7,"complexity_ratio":562.1428571428571,"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":8268,"base":4},"right_expr":{"type":"numeric_atoms","value":5762,"base":4}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"numeric_atoms","value":1970,"base":4}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5191,"base":4},"right_expr":{"type":"numeric_atoms","value":2548,"base":4}}}}},"used_operators":["8jW3W4yZS5","LRNGc0VcxI","dfKe02y8D2","zashukvMKz","YjI8oCXuph","DpFCA1CohY","SUmda5xLS4"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","X99M06cbEe","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"⪩⨒∯-111","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8268","layer":4},{"info":"number node, value=5762","layer":4},{"info":"compute binary expreesion, left_input=8268, right_input=5762, 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=1970","layer":4},{"info":"compute unary expreesion, input=1970, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-2726","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-2726, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=5191","layer":4},{"info":"number node, value=2548","layer":4},{"info":"compute binary expreesion, left_input=5191, right_input=2548, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-774549","layer":3},{"info":"compute unary expreesion, input=-774549, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=2323647","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=2323647, 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 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":4,"result_base":4,"text":"↯⪼((⪩⨒∯2001030⫗⊷⫓⪩⨒∯1122002⫚↹⊑(⫇⪩⨒∯132302))∀⇚≩(⋗⩬⋾(⪩⨒∯1101013⪄⪩⨒∯213310)))=⪩⨒∯-111","reverse_text":"⪩⨒∯-111=↯⪼((⪩⨒∯2001030⫗⊷⫓⪩⨒∯1122002⫚↹⊑(⫇⪩⨒∯132302))∀⇚≩(⋗⩬⋾(⪩⨒∯1101013⪄⪩⨒∯213310)))","cot":[{"info":"⪩⨒∯2001030⫗⊷⫓⪩⨒∯1122002=⪩⨒∯-2012","layer":3},{"info":"⫇⪩⨒∯132302=⪩⨒∯-222212","layer":3},{"info":"⪩⨒∯-2012⫚↹⊑⪩⨒∯-222212=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯1101013⪄⪩⨒∯213310=⪩⨒∯-2331012111","layer":3},{"info":"⋗⩬⋾⪩⨒∯-2331012111=⪩⨒∯20313102333","layer":2},{"info":"⪩⨒∯-12333∀⇚≩⪩⨒∯20313102333=NaN","layer":1},{"info":"↯⪼NaN=⪩⨒∯-111","layer":0}]}
{"id":583,"expression_no_base_symbol":"↣≠⋷((($1335$∑⇟⊟$2060$)⫲⨊)∽$2335$⊬⨰$4153$⫸⊐$1139$≀⩗∶$2523$)","expression":"↣≠⋷(((⪩⨒∯110313∑⇟⊟⪩⨒∯200030)⫲⨊)∽⪩⨒∯210133⊬⨰⪩⨒∯1000321⫸⊐⪩⨒∯101303≀⩗∶⪩⨒∯213123)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":82,"operation_count":7,"complexity_ratio":11.714285714285714,"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":1335,"base":4},"right_expr":{"type":"numeric_atoms","value":2060,"base":4}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2335,"base":4},"right_expr":{"type":"numeric_atoms","value":4153,"base":4}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1139,"base":4},"right_expr":{"type":"numeric_atoms","value":2523,"base":4}}}}},"used_operators":["Asc51vEJeQ","y4ImoPnbV5","CArV6hThFE","U7g4x0WXJJ","mqXw5SEYmG","s3Fd5m9Dh2","8INZBEW696"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","NTOWxs364D","QMFrweE19q","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1335","layer":4},{"info":"number node, value=2060","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=2060, 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 = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=nan","layer":2},{"info":"number node, value=2335","layer":4},{"info":"number node, value=4153","layer":4},{"info":"compute binary expreesion, left_input=2335, right_input=4153, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=17891","layer":3},{"info":"number node, value=1139","layer":4},{"info":"number node, value=2523","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=2523, 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=17891, right_input=-6, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-149","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-149, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', 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":4,"result_base":4,"text":"↣≠⋷(((⪩⨒∯110313∑⇟⊟⪩⨒∯200030)⫲⨊)∽⪩⨒∯210133⊬⨰⪩⨒∯1000321⫸⊐⪩⨒∯101303≀⩗∶⪩⨒∯213123)=NaN","reverse_text":"NaN=↣≠⋷(((⪩⨒∯110313∑⇟⊟⪩⨒∯200030)⫲⨊)∽⪩⨒∯210133⊬⨰⪩⨒∯1000321⫸⊐⪩⨒∯101303≀⩗∶⪩⨒∯213123)","cot":[{"info":"⪩⨒∯110313∑⇟⊟⪩⨒∯200030=NaN","layer":3},{"info":"NaN⫲⨊=NaN","layer":2},{"info":"⪩⨒∯210133⊬⨰⪩⨒∯1000321=⪩⨒∯10113203","layer":3},{"info":"⪩⨒∯101303≀⩗∶⪩⨒∯213123=⪩⨒∯-12","layer":3},{"info":"⪩⨒∯10113203⫸⊐⪩⨒∯-12=⪩⨒∯-2111","layer":2},{"info":"NaN∽⪩⨒∯-2111=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":584,"expression_no_base_symbol":"(($4502$⫭)⊕∕($1580$⊕∕$1433$)↺($3324$↺$8302$)⨐($4375$≚⊃≕$6113$))⊮⊟↴((($2759$⋣⋖$1043$)⊴⇁⪶)⇍⊗($1717$⨟⋌⩍$1166$⨚⇆$4298$⇍⊗$4843$))","expression":"((⪩⨒∯1012112⫭)⊕∕(⪩⨒∯120230⊕∕⪩⨒∯112121)↺(⪩⨒∯303330↺⪩⨒∯2001232)⨐(⪩⨒∯1010113≚⊃≕⪩⨒∯1133201))⊮⊟↴(((⪩⨒∯223013⋣⋖⪩⨒∯100103)⊴⇁⪶)⇍⊗(⪩⨒∯122311⨟⋌⩍⪩⨒∯102032⨚⇆⪩⨒∯1003022⇍⊗⪩⨒∯1023223))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3112,"operation_count":14,"complexity_ratio":222.28571428571428,"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":4502,"base":4}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1580,"base":4},"right_expr":{"type":"numeric_atoms","value":1433,"base":4}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3324,"base":4},"right_expr":{"type":"numeric_atoms","value":8302,"base":4}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":4375,"base":4},"right_expr":{"type":"numeric_atoms","value":6113,"base":4}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2759,"base":4},"right_expr":{"type":"numeric_atoms","value":1043,"base":4}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1717,"base":4},"right_expr":{"type":"numeric_atoms","value":1166,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":4298,"base":4},"right_expr":{"type":"numeric_atoms","value":4843,"base":4}}}}},"used_operators":["QDVgd2eftb","7j4O788W3g","9cloC0Ngie","t4WUHVGj7f","Noe24qw2ks","Bmrmz2XGnR","5uvYHDjeKN","oo9mF6JIpo","J0M6qkBnIM","lwHaAYXP2r","rGHVDoGpnC"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4502","layer":4},{"info":"compute unary expreesion, input=4502, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=13747","layer":3},{"info":"number node, value=1580","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=1580, right_input=1433, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1580","layer":3},{"info":"compute binary expreesion, left_input=13747, right_input=1580, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=13747","layer":2},{"info":"number node, value=3324","layer":4},{"info":"number node, value=8302","layer":4},{"info":"compute binary expreesion, left_input=3324, right_input=8302, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8302","layer":3},{"info":"number node, value=4375","layer":4},{"info":"number node, value=6113","layer":4},{"info":"compute binary expreesion, left_input=4375, right_input=6113, 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=8302, right_input=67, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-16604","layer":2},{"info":"compute binary expreesion, left_input=13747, right_input=-16604, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-16604","layer":1},{"info":"number node, value=2759","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=2759, right_input=1043, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2759","layer":3},{"info":"compute unary expreesion, input=2759, 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=53020","layer":2},{"info":"number node, value=1717","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=1166, 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=4298","layer":4},{"info":"number node, value=4843","layer":4},{"info":"compute binary expreesion, left_input=4298, right_input=4843, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-244, 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 binary expreesion, left_input=53020, 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=-16604, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1012112⫭)⊕∕(⪩⨒∯120230⊕∕⪩⨒∯112121)↺(⪩⨒∯303330↺⪩⨒∯2001232)⨐(⪩⨒∯1010113≚⊃≕⪩⨒∯1133201))⊮⊟↴(((⪩⨒∯223013⋣⋖⪩⨒∯100103)⊴⇁⪶)⇍⊗(⪩⨒∯122311⨟⋌⩍⪩⨒∯102032⨚⇆⪩⨒∯1003022⇍⊗⪩⨒∯1023223))=NaN","reverse_text":"NaN=((⪩⨒∯1012112⫭)⊕∕(⪩⨒∯120230⊕∕⪩⨒∯112121)↺(⪩⨒∯303330↺⪩⨒∯2001232)⨐(⪩⨒∯1010113≚⊃≕⪩⨒∯1133201))⊮⊟↴(((⪩⨒∯223013⋣⋖⪩⨒∯100103)⊴⇁⪶)⇍⊗(⪩⨒∯122311⨟⋌⩍⪩⨒∯102032⨚⇆⪩⨒∯1003022⇍⊗⪩⨒∯1023223))","cot":[{"info":"⪩⨒∯1012112⫭=⪩⨒∯3112303","layer":3},{"info":"⪩⨒∯120230⊕∕⪩⨒∯112121=⪩⨒∯120230","layer":3},{"info":"⪩⨒∯3112303⊕∕⪩⨒∯120230=⪩⨒∯3112303","layer":2},{"info":"⪩⨒∯303330↺⪩⨒∯2001232=⪩⨒∯2001232","layer":3},{"info":"⪩⨒∯1010113≚⊃≕⪩⨒∯1133201=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯2001232⨐⪩⨒∯1003=⪩⨒∯-10003130","layer":2},{"info":"⪩⨒∯3112303↺⪩⨒∯-10003130=⪩⨒∯-10003130","layer":1},{"info":"⪩⨒∯223013⋣⋖⪩⨒∯100103=⪩⨒∯223013","layer":3},{"info":"⪩⨒∯223013⊴⇁⪶=⪩⨒∯30330130","layer":2},{"info":"⪩⨒∯122311⨟⋌⩍⪩⨒∯102032=NaN","layer":3},{"info":"⪩⨒∯1003022⇍⊗⪩⨒∯1023223=⪩⨒∯-3310","layer":3},{"info":"NaN⨚⇆⪩⨒∯-3310=NaN","layer":2},{"info":"⪩⨒∯30330130⇍⊗NaN=NaN","layer":1},{"info":"⪩⨒∯-10003130⊮⊟↴NaN=NaN","layer":0}]}
{"id":585,"expression_no_base_symbol":"+⊝⨔($1092$⨔≚≋$4002$/$4142$↱$4079$)↤⩊((∐⩳⋚$6546$)⊍⩺⋍$6133$⨐$5192$)","expression":"+⊝⨔(⪩⨒∯101010⨔≚≋⪩⨒∯332202/⪩⨒∯1000232↱⪩⨒∯333233)↤⩊((∐⩳⋚⪩⨒∯1212102)⊍⩺⋍⪩⨒∯1133311⨐⪩⨒∯1101020)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":679,"operation_count":8,"complexity_ratio":84.875,"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":1092,"base":4},"right_expr":{"type":"numeric_atoms","value":4002,"base":4}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4142,"base":4},"right_expr":{"type":"numeric_atoms","value":4079,"base":4}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":6546,"base":4}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":6133,"base":4},"right_expr":{"type":"numeric_atoms","value":5192,"base":4}}}}},"used_operators":["DhbWaqg5eL","13rbtpv6ld","XhwjNDsVaA","Z57zeUYC9z","SR5kFfdi6N","OXDGMFPWZM","SL6IHkK8vl","Noe24qw2ks"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","rysDP5nf3Z","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⪩⨒∯113302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"number node, value=4002","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=4002, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=4142","layer":4},{"info":"number node, value=4079","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=4079, 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=-11715","layer":3},{"info":"compute binary expreesion, left_input=9872, right_input=-11715, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=6546","layer":4},{"info":"compute unary expreesion, input=6546, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=970063","layer":3},{"info":"number node, value=6133","layer":4},{"info":"number node, value=5192","layer":4},{"info":"compute binary expreesion, left_input=6133, right_input=5192, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-12266","layer":3},{"info":"compute binary expreesion, left_input=970063, right_input=-12266, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, 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":1},{"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":0}],"base":4,"result_base":4,"text":"+⊝⨔(⪩⨒∯101010⨔≚≋⪩⨒∯332202/⪩⨒∯1000232↱⪩⨒∯333233)↤⩊((∐⩳⋚⪩⨒∯1212102)⊍⩺⋍⪩⨒∯1133311⨐⪩⨒∯1101020)=⪩⨒∯113302","reverse_text":"⪩⨒∯113302=+⊝⨔(⪩⨒∯101010⨔≚≋⪩⨒∯332202/⪩⨒∯1000232↱⪩⨒∯333233)↤⩊((∐⩳⋚⪩⨒∯1212102)⊍⩺⋍⪩⨒∯1133311⨐⪩⨒∯1101020)","cot":[{"info":"⪩⨒∯101010⨔≚≋⪩⨒∯332202=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯1000232↱⪩⨒∯333233=⪩⨒∯-2313003","layer":3},{"info":"⪩⨒∯2122100/⪩⨒∯-2313003=⪩⨒∯-1","layer":2},{"info":"∐⩳⋚⪩⨒∯1212102=⪩⨒∯3230311033","layer":3},{"info":"⪩⨒∯1133311⨐⪩⨒∯1101020=⪩⨒∯-2333222","layer":3},{"info":"⪩⨒∯3230311033⊍⩺⋍⪩⨒∯-2333222=NaN","layer":2},{"info":"⪩⨒∯-1↤⩊NaN=NaN","layer":1},{"info":"+⊝⨔NaN=⪩⨒∯113302","layer":0}]}
{"id":586,"expression_no_base_symbol":"(($2618$⋥⋵⩄$4625$)⊮⊟↴(⨙⪌$1135$)⩁⩘($4652$⋕⪉⪜$1967$⊾⪯⋞$4957$∀⇚≩$5014$))⇡⇂((⊽$7173$)∓⋝(⫎≠⋺$2046$)-(⇺⋃($5631$⨻⩈⩔$5378$)))","expression":"((⪩⨒∯220322⋥⋵⩄⪩⨒∯1020101)⊮⊟↴(⨙⪌⪩⨒∯101233)⩁⩘(⪩⨒∯1020230⋕⪉⪜⪩⨒∯132233⊾⪯⋞⪩⨒∯1031131∀⇚≩⪩⨒∯1032112))⇡⇂((⊽⪩⨒∯1300011)∓⋝(⫎≠⋺⪩⨒∯133332)-(⇺⋃(⪩⨒∯1113333⨻⩈⩔⪩⨒∯1110002)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":36417,"operation_count":14,"complexity_ratio":2601.214285714286,"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":2618,"base":4},"right_expr":{"type":"numeric_atoms","value":4625,"base":4}},"right_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1135,"base":4}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":4652,"base":4},"right_expr":{"type":"numeric_atoms","value":1967,"base":4}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4957,"base":4},"right_expr":{"type":"numeric_atoms","value":5014,"base":4}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":7173,"base":4}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":2046,"base":4}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5631,"base":4},"right_expr":{"type":"numeric_atoms","value":5378,"base":4}}}}},"used_operators":["UMwdvZNt44","gub5Cegaqo","QDVgd2eftb","7t3wd0Fuz7","vEGLkm4Z2k","HK0tfVPux8","z6LnFrNh4i","LRNGc0VcxI","rysDP5nf3Z","PoHhknlbAi","QxG7OkqoLX","LYeZOJ0nQG","E5v5B3UAjG","nEsXyWgiOK"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","DpFCA1CohY","IWmyXbctLI","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","X99M06cbEe","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2618","layer":4},{"info":"number node, value=4625","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=4625, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1135","layer":4},{"info":"compute unary expreesion, input=1135, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=868, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":2},{"info":"number node, value=4652","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=4652, right_input=1967, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=4957","layer":4},{"info":"number node, value=5014","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=5014, 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=2802, 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":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":1},{"info":"number node, value=7173","layer":4},{"info":"compute unary expreesion, input=7173, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=15868","layer":3},{"info":"number node, value=2046","layer":4},{"info":"compute unary expreesion, input=2046, 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=15868, right_input=0, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3538","layer":2},{"info":"number node, value=5631","layer":4},{"info":"number node, value=5378","layer":4},{"info":"compute binary expreesion, left_input=5631, right_input=5378, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=36647","layer":3},{"info":"compute unary expreesion, input=36647, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3538, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯220322⋥⋵⩄⪩⨒∯1020101)⊮⊟↴(⨙⪌⪩⨒∯101233)⩁⩘(⪩⨒∯1020230⋕⪉⪜⪩⨒∯132233⊾⪯⋞⪩⨒∯1031131∀⇚≩⪩⨒∯1032112))⇡⇂((⊽⪩⨒∯1300011)∓⋝(⫎≠⋺⪩⨒∯133332)-(⇺⋃(⪩⨒∯1113333⨻⩈⩔⪩⨒∯1110002)))=NaN","reverse_text":"NaN=((⪩⨒∯220322⋥⋵⩄⪩⨒∯1020101)⊮⊟↴(⨙⪌⪩⨒∯101233)⩁⩘(⪩⨒∯1020230⋕⪉⪜⪩⨒∯132233⊾⪯⋞⪩⨒∯1031131∀⇚≩⪩⨒∯1032112))⇡⇂((⊽⪩⨒∯1300011)∓⋝(⫎≠⋺⪩⨒∯133332)-(⇺⋃(⪩⨒∯1113333⨻⩈⩔⪩⨒∯1110002)))","cot":[{"info":"⪩⨒∯220322⋥⋵⩄⪩⨒∯1020101=⪩⨒∯1301","layer":3},{"info":"⨙⪌⪩⨒∯101233=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯1301⊮⊟↴⪩⨒∯31210=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1020230⋕⪉⪜⪩⨒∯132233=⪩⨒∯223302","layer":3},{"info":"⪩⨒∯1031131∀⇚≩⪩⨒∯1032112=NaN","layer":3},{"info":"⪩⨒∯223302⊾⪯⋞NaN=NaN","layer":2},{"info":"⪩⨒∯0⩁⩘NaN=NaN","layer":1},{"info":"⊽⪩⨒∯1300011=⪩⨒∯3313330","layer":3},{"info":"⫎≠⋺⪩⨒∯133332=⪩⨒∯0","layer":3},{"info":"⪩⨒∯3313330∓⋝⪩⨒∯0=⪩⨒∯-313102","layer":2},{"info":"⪩⨒∯1113333⨻⩈⩔⪩⨒∯1110002=⪩⨒∯20330213","layer":3},{"info":"⇺⋃⪩⨒∯20330213=NaN","layer":2},{"info":"⪩⨒∯-313102-NaN=NaN","layer":1},{"info":"NaN⇡⇂NaN=NaN","layer":0}]}
{"id":587,"expression_no_base_symbol":"⪹($1539$⇂≾⫗$8252$⫞⩸⩒($1126$∴$1063$)⊜)","expression":"⪹(⪩⨒∯120003⇂≾⫗⪩⨒∯2000330⫞⩸⩒(⪩⨒∯101212∴⪩⨒∯100213)⊜)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":79,"operation_count":5,"complexity_ratio":15.8,"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":1539,"base":4},"right_expr":{"type":"numeric_atoms","value":8252,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1126,"base":4},"right_expr":{"type":"numeric_atoms","value":1063,"base":4}}}}},"used_operators":["USyYr0JgAa","Eev2Q7dYIw","XGcMNugi78","aBQ6xLxuTc","hrf7POJlIJ"],"dependent_operators":["tifHPKVTfV","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⪩⨒∯-322312","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1539","layer":4},{"info":"number node, value=8252","layer":4},{"info":"compute binary expreesion, left_input=1539, right_input=8252, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1063, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=3900","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=3900, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-676","layer":2},{"info":"compute unary expreesion, input=-676, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=3946","layer":1},{"info":"compute unary expreesion, input=3946, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-3766","layer":0}],"base":4,"result_base":4,"text":"⪹(⪩⨒∯120003⇂≾⫗⪩⨒∯2000330⫞⩸⩒(⪩⨒∯101212∴⪩⨒∯100213)⊜)=⪩⨒∯-322312","reverse_text":"⪩⨒∯-322312=⪹(⪩⨒∯120003⇂≾⫗⪩⨒∯2000330⫞⩸⩒(⪩⨒∯101212∴⪩⨒∯100213)⊜)","cot":[{"info":"⪩⨒∯120003⇂≾⫗⪩⨒∯2000330=⪩⨒∯-22210","layer":3},{"info":"⪩⨒∯101212∴⪩⨒∯100213=⪩⨒∯330330","layer":3},{"info":"⪩⨒∯-22210⫞⩸⩒⪩⨒∯330330=⪩⨒∯-22210","layer":2},{"info":"⪩⨒∯-22210⊜=⪩⨒∯331222","layer":1},{"info":"⪹⪩⨒∯331222=⪩⨒∯-322312","layer":0}]}
{"id":588,"expression_no_base_symbol":"((⨵≀≌$3567$)⨐⩸⫘$1152$⩌⋺$4553$↡⊰⫅(⇉-⫰$4375$⨐$5969$))⪣⫩","expression":"((⨵≀≌⪩⨒∯313233)⨐⩸⫘⪩⨒∯102000⩌⋺⪩⨒∯1013021↡⊰⫅(⇉-⫰⪩⨒∯1010113⨐⪩⨒∯1131101))⪣⫩","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":322,"operation_count":7,"complexity_ratio":46.0,"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":3567,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1152,"base":4},"right_expr":{"type":"numeric_atoms","value":4553,"base":4}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4375,"base":4},"right_expr":{"type":"numeric_atoms","value":5969,"base":4}}}}},"used_operators":["iuk5sVOGFA","VCtxkLNOzz","fu6greOZ01","srAu1WTS94","g7Hmc5v1ko","IGFM8TAlm9","Noe24qw2ks"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eH2TOUuTDT","eewbuw0ToL","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"⪩⨒∯32101","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3567","layer":4},{"info":"compute unary expreesion, input=3567, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10701","layer":3},{"info":"number node, value=1152","layer":4},{"info":"number node, value=4553","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4553, 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=-5826","layer":3},{"info":"compute binary expreesion, left_input=-10701, right_input=-5826, 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=4375","layer":4},{"info":"number node, value=5969","layer":4},{"info":"compute binary expreesion, left_input=4375, right_input=5969, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8750","layer":3},{"info":"compute unary expreesion, input=-8750, 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 = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=40","layer":1},{"info":"compute unary expreesion, input=40, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=913","layer":0}],"base":4,"result_base":4,"text":"((⨵≀≌⪩⨒∯313233)⨐⩸⫘⪩⨒∯102000⩌⋺⪩⨒∯1013021↡⊰⫅(⇉-⫰⪩⨒∯1010113⨐⪩⨒∯1131101))⪣⫩=⪩⨒∯32101","reverse_text":"⪩⨒∯32101=((⨵≀≌⪩⨒∯313233)⨐⩸⫘⪩⨒∯102000⩌⋺⪩⨒∯1013021↡⊰⫅(⇉-⫰⪩⨒∯1010113⨐⪩⨒∯1131101))⪣⫩","cot":[{"info":"⨵≀≌⪩⨒∯313233=⪩⨒∯-2213031","layer":3},{"info":"⪩⨒∯102000⩌⋺⪩⨒∯1013021=⪩⨒∯-1123002","layer":3},{"info":"⪩⨒∯-2213031⨐⩸⫘⪩⨒∯-1123002=NaN","layer":2},{"info":"⪩⨒∯1010113⨐⪩⨒∯1131101=⪩⨒∯-2020232","layer":3},{"info":"⇉-⫰⪩⨒∯-2020232=⪩⨒∯110","layer":2},{"info":"NaN↡⊰⫅⪩⨒∯110=⪩⨒∯220","layer":1},{"info":"⪩⨒∯220⪣⫩=⪩⨒∯32101","layer":0}]}
{"id":589,"expression_no_base_symbol":"(($3673$⩇∃⫛$3248$)⋣⋖($2554$⇴$4075$)⩢≌)⪇≇⋚(($7151$∝$3803$)∠↢(⩪∧⨌$1977$))∳⫺(⇜⊴$4025$⋻⩜⩜$3806$)","expression":"((⪩⨒∯321121⩇∃⫛⪩⨒∯302300)⋣⋖(⪩⨒∯213322⇴⪩⨒∯333223)⩢≌)⪇≇⋚((⪩⨒∯1233233∝⪩⨒∯323123)∠↢(⩪∧⨌⪩⨒∯132321))∳⫺(⇜⊴⪩⨒∯332321⋻⩜⩜⪩⨒∯323132)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":53724,"operation_count":11,"complexity_ratio":4884.0,"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":3673,"base":4},"right_expr":{"type":"numeric_atoms","value":3248,"base":4}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":2554,"base":4},"right_expr":{"type":"numeric_atoms","value":4075,"base":4}}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":7151,"base":4},"right_expr":{"type":"numeric_atoms","value":3803,"base":4}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1977,"base":4}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4025,"base":4},"right_expr":{"type":"numeric_atoms","value":3806,"base":4}}}}},"used_operators":["3sJ7IOPOlU","D617RFjZIq","J0M6qkBnIM","1aApVXNlOP","4JB6nKBMSY","AzXXKTstlj","KbjG8mgYpV","cTDWOvIxvz","6iOiAJX1F8","XwDhCwWbUn","oDCm7WA9JY"],"dependent_operators":["DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","hTbEZDJLEm","o20kRiQErp","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","sdazOOVcIp","NTOWxs364D","COABgblf1C","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3673","layer":4},{"info":"number node, value=3248","layer":4},{"info":"compute binary expreesion, left_input=3673, right_input=3248, 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=48","layer":3},{"info":"number node, value=2554","layer":4},{"info":"number node, value=4075","layer":4},{"info":"compute binary expreesion, left_input=2554, right_input=4075, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=23088","layer":3},{"info":"compute binary expreesion, left_input=48, right_input=23088, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=48","layer":2},{"info":"compute unary expreesion, input=48, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":1},{"info":"number node, value=7151","layer":4},{"info":"number node, value=3803","layer":4},{"info":"compute binary expreesion, left_input=7151, right_input=3803, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=7156","layer":3},{"info":"number node, value=1977","layer":4},{"info":"compute unary expreesion, input=1977, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=19770","layer":3},{"info":"compute binary expreesion, left_input=7156, right_input=19770, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-304322","layer":2},{"info":"number node, value=4025","layer":4},{"info":"number node, value=3806","layer":4},{"info":"compute binary expreesion, left_input=4025, right_input=3806, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=8050","layer":3},{"info":"compute unary expreesion, input=8050, 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=-1886086","layer":2},{"info":"compute binary expreesion, left_input=-304322, right_input=-1886086, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=-260, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯321121⩇∃⫛⪩⨒∯302300)⋣⋖(⪩⨒∯213322⇴⪩⨒∯333223)⩢≌)⪇≇⋚((⪩⨒∯1233233∝⪩⨒∯323123)∠↢(⩪∧⨌⪩⨒∯132321))∳⫺(⇜⊴⪩⨒∯332321⋻⩜⩜⪩⨒∯323132)=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯321121⩇∃⫛⪩⨒∯302300)⋣⋖(⪩⨒∯213322⇴⪩⨒∯333223)⩢≌)⪇≇⋚((⪩⨒∯1233233∝⪩⨒∯323123)∠↢(⩪∧⨌⪩⨒∯132321))∳⫺(⇜⊴⪩⨒∯332321⋻⩜⩜⪩⨒∯323132)","cot":[{"info":"⪩⨒∯321121⩇∃⫛⪩⨒∯302300=⪩⨒∯300","layer":3},{"info":"⪩⨒∯213322⇴⪩⨒∯333223=⪩⨒∯11220300","layer":3},{"info":"⪩⨒∯300⋣⋖⪩⨒∯11220300=⪩⨒∯300","layer":2},{"info":"⪩⨒∯300⩢≌=⪩⨒∯1301","layer":1},{"info":"⪩⨒∯1233233∝⪩⨒∯323123=⪩⨒∯1233310","layer":3},{"info":"⩪∧⨌⪩⨒∯132321=⪩⨒∯10310322","layer":3},{"info":"⪩⨒∯1233310∠↢⪩⨒∯10310322=⪩⨒∯-1022103002","layer":2},{"info":"⪩⨒∯332321⋻⩜⩜⪩⨒∯323132=⪩⨒∯1331302","layer":3},{"info":"⇜⊴⪩⨒∯1331302=⪩⨒∯-13030132012","layer":2},{"info":"⪩⨒∯-1022103002∳⫺⪩⨒∯-13030132012=⪩⨒∯-10010","layer":1},{"info":"⪩⨒∯1301⪇≇⋚⪩⨒∯-10010=⪩⨒∯0","layer":0}]}
{"id":590,"expression_no_base_symbol":"((↨$3932$)⪝($4794$∛$3826$)⪇≇⋚($2846$⪎↠$1115$⨀⨒))⨑⩅≇((⇖⫷⫕($2680$⨘))↬(⊀($1061$⨑≵⋬$1672$)))","expression":"((↨⪩⨒∯331130)⪝(⪩⨒∯1022322∛⪩⨒∯323302)⪇≇⋚(⪩⨒∯230132⪎↠⪩⨒∯101123⨀⨒))⨑⩅≇((⇖⫷⫕(⪩⨒∯221320⨘))↬(⊀(⪩⨒∯100211⨑≵⋬⪩⨒∯122020)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4633,"operation_count":12,"complexity_ratio":386.0833333333333,"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":3932,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4794,"base":4},"right_expr":{"type":"numeric_atoms","value":3826,"base":4}}},"right_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":2846,"base":4},"right_expr":{"type":"numeric_atoms","value":1115,"base":4}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":2680,"base":4}}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1061,"base":4},"right_expr":{"type":"numeric_atoms","value":1672,"base":4}}}}},"used_operators":["h92wMvzauj","3sJ7IOPOlU","wicAB68Tmb","jiX4gk2v2Q","w2537kitQq","j6NVkjMzuk","3tVxb0NHM4","B5M0gjZbta","UHmRx3INFg","ljcfZBUpm8","oPMjh9089D","XnXgA4xnOs"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rGHVDoGpnC","oZj3VtZNQx","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","rGHVDoGpnC","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⪩⨒∯32213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3932","layer":4},{"info":"compute unary expreesion, input=3932, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=4794","layer":4},{"info":"number node, value=3826","layer":4},{"info":"compute binary expreesion, left_input=4794, right_input=3826, 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 = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=2846","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=2846, right_input=1115, 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 = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=-2400","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2400, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=nan","layer":1},{"info":"number node, value=2680","layer":4},{"info":"compute unary expreesion, input=2680, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-19535","layer":3},{"info":"compute unary expreesion, input=-19535, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":2},{"info":"number node, value=1061","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=1672, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-5020","layer":3},{"info":"compute unary expreesion, input=-5020, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=76083","layer":2},{"info":"compute binary expreesion, left_input=2822, right_input=76083, 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=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":0}],"base":4,"result_base":4,"text":"((↨⪩⨒∯331130)⪝(⪩⨒∯1022322∛⪩⨒∯323302)⪇≇⋚(⪩⨒∯230132⪎↠⪩⨒∯101123⨀⨒))⨑⩅≇((⇖⫷⫕(⪩⨒∯221320⨘))↬(⊀(⪩⨒∯100211⨑≵⋬⪩⨒∯122020)))=⪩⨒∯32213","reverse_text":"⪩⨒∯32213=((↨⪩⨒∯331130)⪝(⪩⨒∯1022322∛⪩⨒∯323302)⪇≇⋚(⪩⨒∯230132⪎↠⪩⨒∯101123⨀⨒))⨑⩅≇((⇖⫷⫕(⪩⨒∯221320⨘))↬(⊀(⪩⨒∯100211⨑≵⋬⪩⨒∯122020)))","cot":[{"info":"↨⪩⨒∯331130=NaN","layer":3},{"info":"⪩⨒∯1022322∛⪩⨒∯323302=⪩⨒∯-22132","layer":3},{"info":"NaN⪝⪩⨒∯-22132=NaN","layer":2},{"info":"⪩⨒∯230132⪎↠⪩⨒∯101123=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2200⨀⨒=⪩⨒∯-211200","layer":2},{"info":"NaN⪇≇⋚⪩⨒∯-211200=NaN","layer":1},{"info":"⪩⨒∯221320⨘=⪩⨒∯-10301033","layer":3},{"info":"⇖⫷⫕⪩⨒∯-10301033=⪩⨒∯230012","layer":2},{"info":"⪩⨒∯100211⨑≵⋬⪩⨒∯122020=⪩⨒∯-1032130","layer":3},{"info":"⊀⪩⨒∯-1032130=⪩⨒∯102210303","layer":2},{"info":"⪩⨒∯230012↬⪩⨒∯102210303=NaN","layer":1},{"info":"NaN⨑⩅≇NaN=⪩⨒∯32213","layer":0}]}
{"id":591,"expression_no_base_symbol":"((($1069$∲⫓$5178$)⩟)⇴∐($3038$⪭$1464$≬⋮(∓⪦$1015$)))⋕⪉⪜(($2404$⇩)⫯⪬∳($2445$⇄$2565$)⇼⇔∾(⫖→$2496$∝$4418$))","expression":"(((⪩⨒∯100231∲⫓⪩⨒∯1100322)⩟)⇴∐(⪩⨒∯233132⪭⪩⨒∯112320≬⋮(∓⪦⪩⨒∯33313)))⋕⪉⪜((⪩⨒∯211210⇩)⫯⪬∳(⪩⨒∯212031⇄⪩⨒∯220011)⇼⇔∾(⫖→⪩⨒∯213000∝⪩⨒∯1011002))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":756269,"operation_count":13,"complexity_ratio":58174.53846153846,"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":1069,"base":4},"right_expr":{"type":"numeric_atoms","value":5178,"base":4}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3038,"base":4},"right_expr":{"type":"numeric_atoms","value":1464,"base":4}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1015,"base":4}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"numeric_atoms","value":2404,"base":4}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2445,"base":4},"right_expr":{"type":"numeric_atoms","value":2565,"base":4}}},"right_expr":{"type":"unary","operator":"⫖→","unary_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2496,"base":4},"right_expr":{"type":"numeric_atoms","value":4418,"base":4}}}}},"used_operators":["z6LnFrNh4i","HnzytWxmAO","fOIeswaMU4","i8ToyICDmI","kbkesczE7y","j9kHMeSvPp","D309nIvmXG","tifHPKVTfV","d7ASUq0ydm","vRio1gEz1j","3EYGwJThht","U4ylXWHChL","cTDWOvIxvz"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⪩⨒∯3030","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1069","layer":4},{"info":"number node, value=5178","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=5178, 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 = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=1227","layer":2},{"info":"number node, value=3038","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=1464, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=607","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=607, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=1227, right_input=868, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":1},{"info":"number node, value=2404","layer":4},{"info":"compute unary expreesion, input=2404, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=2497","layer":3},{"info":"number node, value=2445","layer":4},{"info":"number node, value=2565","layer":4},{"info":"compute binary expreesion, left_input=2445, right_input=2565, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2497, right_input=0, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=12518","layer":2},{"info":"number node, value=2496","layer":4},{"info":"number node, value=4418","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=4418, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2501","layer":3},{"info":"compute unary expreesion, input=2501, op_id = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=12518, right_input=177, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-12341","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12341, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯100231∲⫓⪩⨒∯1100322)⩟)⇴∐(⪩⨒∯233132⪭⪩⨒∯112320≬⋮(∓⪦⪩⨒∯33313)))⋕⪉⪜((⪩⨒∯211210⇩)⫯⪬∳(⪩⨒∯212031⇄⪩⨒∯220011)⇼⇔∾(⫖→⪩⨒∯213000∝⪩⨒∯1011002))=⪩⨒∯3030","reverse_text":"⪩⨒∯3030=(((⪩⨒∯100231∲⫓⪩⨒∯1100322)⩟)⇴∐(⪩⨒∯233132⪭⪩⨒∯112320≬⋮(∓⪦⪩⨒∯33313)))⋕⪉⪜((⪩⨒∯211210⇩)⫯⪬∳(⪩⨒∯212031⇄⪩⨒∯220011)⇼⇔∾(⫖→⪩⨒∯213000∝⪩⨒∯1011002))","cot":[{"info":"⪩⨒∯100231∲⫓⪩⨒∯1100322=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⩟=⪩⨒∯103023","layer":2},{"info":"⪩⨒∯233132⪭⪩⨒∯112320=⪩⨒∯11","layer":3},{"info":"∓⪦⪩⨒∯33313=⪩⨒∯21133","layer":3},{"info":"⪩⨒∯11≬⋮⪩⨒∯21133=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯103023⇴∐⪩⨒∯31210=NaN","layer":1},{"info":"⪩⨒∯211210⇩=⪩⨒∯213001","layer":3},{"info":"⪩⨒∯212031⇄⪩⨒∯220011=⪩⨒∯0","layer":3},{"info":"⪩⨒∯213001⫯⪬∳⪩⨒∯0=⪩⨒∯3003212","layer":2},{"info":"⪩⨒∯213000∝⪩⨒∯1011002=⪩⨒∯213011","layer":3},{"info":"⫖→⪩⨒∯213011=⪩⨒∯2301","layer":2},{"info":"⪩⨒∯3003212⇼⇔∾⪩⨒∯2301=⪩⨒∯-3000311","layer":1},{"info":"NaN⋕⪉⪜⪩⨒∯-3000311=⪩⨒∯3030","layer":0}]}
{"id":592,"expression_no_base_symbol":"($5157$⨰$1350$⇼⇔∾$7285$⩧⪆$2098$)⊉↱≁($1457$↓$2082$)⨽∌(∷≠$3622$)⪚(($1547$∴$5803$+($5594$⊬⫿⊭))⪘⫢(+⊝⨔($1218$/$4117$)))","expression":"(⪩⨒∯1100211⨰⪩⨒∯111012⇼⇔∾⪩⨒∯1301311⩧⪆⪩⨒∯200302)⊉↱≁(⪩⨒∯112301↓⪩⨒∯200202)⨽∌(∷≠⪩⨒∯320212)⪚((⪩⨒∯120023∴⪩⨒∯1122223+(⪩⨒∯1113122⊬⫿⊭))⪘⫢(+⊝⨔(⪩⨒∯103002/⪩⨒∯1000111)))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":29600,"operation_count":14,"complexity_ratio":2114.285714285714,"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":5157,"base":4},"right_expr":{"type":"numeric_atoms","value":1350,"base":4}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":7285,"base":4},"right_expr":{"type":"numeric_atoms","value":2098,"base":4}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1457,"base":4},"right_expr":{"type":"numeric_atoms","value":2082,"base":4}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":3622,"base":4}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1547,"base":4},"right_expr":{"type":"numeric_atoms","value":5803,"base":4}},"right_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":5594,"base":4}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1218,"base":4},"right_expr":{"type":"numeric_atoms","value":4117,"base":4}}}}},"used_operators":["HrjLwUk87U","w2P8NbNXyL","tifHPKVTfV","eewbuw0ToL","Ikt5ks8PT7","9samAPKr6k","Af076pWI7l","QiR2Oyf5Xj","oacrs7FA3X","W4YGzv6Whe","hrf7POJlIJ","v0DYgG9ikt","DhbWaqg5eL","XhwjNDsVaA"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","7j4O788W3g","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪩⨒∯131031210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5157","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=5157, right_input=1350, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3817","layer":3},{"info":"number node, value=7285","layer":4},{"info":"number node, value=2098","layer":4},{"info":"compute binary expreesion, left_input=7285, right_input=2098, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-2098","layer":3},{"info":"compute binary expreesion, left_input=3817, right_input=-2098, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5915","layer":2},{"info":"number node, value=1457","layer":4},{"info":"number node, value=2082","layer":4},{"info":"compute binary expreesion, left_input=1457, right_input=2082, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3622","layer":4},{"info":"compute unary expreesion, input=3622, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=3622","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=3622, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-5915, right_input=0, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-60264","layer":1},{"info":"number node, value=1547","layer":4},{"info":"number node, value=5803","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=5803, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4742","layer":3},{"info":"number node, value=5594","layer":4},{"info":"compute unary expreesion, input=5594, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-16782","layer":3},{"info":"compute binary expreesion, left_input=4742, right_input=-16782, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-12040","layer":2},{"info":"number node, value=1218","layer":4},{"info":"number node, value=4117","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=4117, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, 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=-12040, right_input=1522, 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":"compute binary expreesion, left_input=-60264, right_input=-1, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=119652","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1100211⨰⪩⨒∯111012⇼⇔∾⪩⨒∯1301311⩧⪆⪩⨒∯200302)⊉↱≁(⪩⨒∯112301↓⪩⨒∯200202)⨽∌(∷≠⪩⨒∯320212)⪚((⪩⨒∯120023∴⪩⨒∯1122223+(⪩⨒∯1113122⊬⫿⊭))⪘⫢(+⊝⨔(⪩⨒∯103002/⪩⨒∯1000111)))=⪩⨒∯131031210","reverse_text":"⪩⨒∯131031210=(⪩⨒∯1100211⨰⪩⨒∯111012⇼⇔∾⪩⨒∯1301311⩧⪆⪩⨒∯200302)⊉↱≁(⪩⨒∯112301↓⪩⨒∯200202)⨽∌(∷≠⪩⨒∯320212)⪚((⪩⨒∯120023∴⪩⨒∯1122223+(⪩⨒∯1113122⊬⫿⊭))⪘⫢(+⊝⨔(⪩⨒∯103002/⪩⨒∯1000111)))","cot":[{"info":"⪩⨒∯1100211⨰⪩⨒∯111012=⪩⨒∯323221","layer":3},{"info":"⪩⨒∯1301311⩧⪆⪩⨒∯200302=⪩⨒∯-200302","layer":3},{"info":"⪩⨒∯323221⇼⇔∾⪩⨒∯-200302=⪩⨒∯-1130123","layer":2},{"info":"⪩⨒∯112301↓⪩⨒∯200202=⪩⨒∯-2012","layer":3},{"info":"∷≠⪩⨒∯320212=⪩⨒∯320212","layer":3},{"info":"⪩⨒∯-2012⨽∌⪩⨒∯320212=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-1130123⊉↱≁⪩⨒∯0=⪩⨒∯-32231220","layer":1},{"info":"⪩⨒∯120023∴⪩⨒∯1122223=⪩⨒∯1022012","layer":3},{"info":"⪩⨒∯1113122⊬⫿⊭=⪩⨒∯-10012032","layer":3},{"info":"⪩⨒∯1022012+⪩⨒∯-10012032=⪩⨒∯-2330020","layer":2},{"info":"⪩⨒∯103002/⪩⨒∯1000111=⪩⨒∯0","layer":3},{"info":"+⊝⨔⪩⨒∯0=⪩⨒∯113302","layer":2},{"info":"⪩⨒∯-2330020⪘⫢⪩⨒∯113302=⪩⨒∯-1","layer":1},{"info":"⪩⨒∯-32231220⪚⪩⨒∯-1=⪩⨒∯131031210","layer":0}]}
{"id":593,"expression_no_base_symbol":"($2063$⫢⨠$3738$)≁↽≥($2483$⋅⇍$2194$)⇤($6064$⨐$4440$⪎⩰)≬⋮($5879$⊮⊟↴$1466$⇴$2299$≠≀$5615$)↳∿⪆($2314$⪥$3263$+⪬∐(⨰⫟⨤$3269$))","expression":"(⪩⨒∯200033⫢⨠⪩⨒∯322122)≁↽≥(⪩⨒∯212303⋅⇍⪩⨒∯202102)⇤(⪩⨒∯1132300⨐⪩⨒∯1011120⪎⩰)≬⋮(⪩⨒∯1123313⊮⊟↴⪩⨒∯112322⇴⪩⨒∯203323≠≀⪩⨒∯1113233)↳∿⪆(⪩⨒∯210022⪥⪩⨒∯302333+⪬∐(⨰⫟⨤⪩⨒∯303011))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15685,"operation_count":14,"complexity_ratio":1120.357142857143,"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":2063,"base":4},"right_expr":{"type":"numeric_atoms","value":3738,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":2483,"base":4},"right_expr":{"type":"numeric_atoms","value":2194,"base":4}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":6064,"base":4},"right_expr":{"type":"numeric_atoms","value":4440,"base":4}}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":5879,"base":4},"right_expr":{"type":"numeric_atoms","value":1466,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2299,"base":4},"right_expr":{"type":"numeric_atoms","value":5615,"base":4}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2314,"base":4},"right_expr":{"type":"numeric_atoms","value":3263,"base":4}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3269,"base":4}}}}},"used_operators":["kbkesczE7y","YSKBFp38Pu","ncHt1X6cMc","xlXykHWxX1","AdZkA7nFnk","2ufhKmSs5H","Noe24qw2ks","Cw4SuJJGHO","4JB6nKBMSY","QDVgd2eftb","IwW236VD4Y","2GS7woTJqF","QbnwKVWMIQ","Tw270M8GLb"],"dependent_operators":["P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","g55IO6H4Gj","D4vGDi5EA2","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2063","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=2063, right_input=3738, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=2483","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=2483, right_input=2194, 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 = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=0","layer":2},{"info":"number node, value=6064","layer":4},{"info":"number node, value=4440","layer":4},{"info":"compute binary expreesion, left_input=6064, right_input=4440, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-12128","layer":3},{"info":"compute unary expreesion, input=-12128, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-255041","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-255041, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=1278053","layer":1},{"info":"number node, value=5879","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=5879, right_input=1466, 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=2299","layer":4},{"info":"number node, value=5615","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=5615, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4292","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4292, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-8970","layer":2},{"info":"number node, value=2314","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=3263, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13908","layer":3},{"info":"number node, value=3269","layer":4},{"info":"compute unary expreesion, input=3269, 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=13908, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-41724","layer":2},{"info":"compute binary expreesion, left_input=-8970, right_input=-41724, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1278053, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯200033⫢⨠⪩⨒∯322122)≁↽≥(⪩⨒∯212303⋅⇍⪩⨒∯202102)⇤(⪩⨒∯1132300⨐⪩⨒∯1011120⪎⩰)≬⋮(⪩⨒∯1123313⊮⊟↴⪩⨒∯112322⇴⪩⨒∯203323≠≀⪩⨒∯1113233)↳∿⪆(⪩⨒∯210022⪥⪩⨒∯302333+⪬∐(⨰⫟⨤⪩⨒∯303011))=NaN","reverse_text":"NaN=(⪩⨒∯200033⫢⨠⪩⨒∯322122)≁↽≥(⪩⨒∯212303⋅⇍⪩⨒∯202102)⇤(⪩⨒∯1132300⨐⪩⨒∯1011120⪎⩰)≬⋮(⪩⨒∯1123313⊮⊟↴⪩⨒∯112322⇴⪩⨒∯203323≠≀⪩⨒∯1113233)↳∿⪆(⪩⨒∯210022⪥⪩⨒∯302333+⪬∐(⨰⫟⨤⪩⨒∯303011))","cot":[{"info":"⪩⨒∯200033⫢⨠⪩⨒∯322122=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯212303⋅⇍⪩⨒∯202102=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯2200≁↽≥⪩⨒∯-112=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1132300⨐⪩⨒∯1011120=⪩⨒∯-2331200","layer":3},{"info":"⪩⨒∯-2331200⪎⩰=⪩⨒∯-332101001","layer":2},{"info":"⪩⨒∯0⇤⪩⨒∯-332101001=⪩⨒∯10320001211","layer":1},{"info":"⪩⨒∯1123313⊮⊟↴⪩⨒∯112322=⪩⨒∯0","layer":3},{"info":"⪩⨒∯203323≠≀⪩⨒∯1113233=⪩⨒∯-1003010","layer":3},{"info":"⪩⨒∯0⇴⪩⨒∯-1003010=⪩⨒∯-2030022","layer":2},{"info":"⪩⨒∯210022⪥⪩⨒∯302333=⪩⨒∯3121110","layer":3},{"info":"⨰⫟⨤⪩⨒∯303011=NaN","layer":3},{"info":"⪩⨒∯3121110+⪬∐NaN=⪩⨒∯-22023330","layer":2},{"info":"⪩⨒∯-2030022↳∿⪆⪩⨒∯-22023330=NaN","layer":1},{"info":"⪩⨒∯10320001211≬⋮NaN=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"((∟⋨$1018$)⫽⇹≛)∇⊂⋱((⩩$7405$)↼⊘⨖(⋗⩬⋾$4010$))⫌⩹⨱","expression":"((∟⋨⪩⨒∯33322)⫽⇹≛)∇⊂⋱((⩩⪩⨒∯1303231)↼⊘⨖(⋗⩬⋾⪩⨒∯332222))⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9415,"operation_count":7,"complexity_ratio":1345.0,"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":1018,"base":4}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":7405,"base":4}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4010,"base":4}}}}},"used_operators":["EBcxylXtPf","nhYeJWJD5X","NNaDxxp6OQ","ctOc4cKSDt","bPywburJMS","kMhfGuqI2H","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯111311","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-534","layer":3},{"info":"compute unary expreesion, input=-534, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=7405","layer":4},{"info":"compute unary expreesion, input=7405, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=4010","layer":4},{"info":"compute unary expreesion, input=4010, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12030","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12030, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-24282","layer":2},{"info":"compute binary expreesion, left_input=272, right_input=-24282, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-2","layer":1},{"info":"compute unary expreesion, input=-2, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1397","layer":0}],"base":4,"result_base":4,"text":"((∟⋨⪩⨒∯33322)⫽⇹≛)∇⊂⋱((⩩⪩⨒∯1303231)↼⊘⨖(⋗⩬⋾⪩⨒∯332222))⫌⩹⨱=⪩⨒∯111311","reverse_text":"⪩⨒∯111311=((∟⋨⪩⨒∯33322)⫽⇹≛)∇⊂⋱((⩩⪩⨒∯1303231)↼⊘⨖(⋗⩬⋾⪩⨒∯332222))⫌⩹⨱","cot":[{"info":"∟⋨⪩⨒∯33322=⪩⨒∯-20112","layer":3},{"info":"⪩⨒∯-20112⫽⇹≛=⪩⨒∯10100","layer":2},{"info":"⩩⪩⨒∯1303231=NaN","layer":3},{"info":"⋗⩬⋾⪩⨒∯332222=⪩⨒∯-2323332","layer":3},{"info":"NaN↼⊘⨖⪩⨒∯-2323332=⪩⨒∯-11323122","layer":2},{"info":"⪩⨒∯10100∇⊂⋱⪩⨒∯-11323122=⪩⨒∯-2","layer":1},{"info":"⪩⨒∯-2⫌⩹⨱=⪩⨒∯111311","layer":0}]}
{"id":595,"expression_no_base_symbol":"(⨈⪑((⩦⩻⨪$1322$)⫦⪉(⇵⪽$3858$)))↓⨍⋜","expression":"(⨈⪑((⩦⩻⨪⪩⨒∯110222)⫦⪉(⇵⪽⪩⨒∯330102)))↓⨍⋜","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":367,"operation_count":5,"complexity_ratio":73.4,"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":1322,"base":4}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":3858,"base":4}}}}},"used_operators":["3DVzLFNsE9","mp94q5OcYM","wscyQdcy20","2td37pGCOC","ZGCBLdVRRX"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","U7g4x0WXJJ"],"result":"⪩⨒∯1212332","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1322","layer":4},{"info":"compute unary expreesion, input=1322, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1322","layer":3},{"info":"number node, value=3858","layer":4},{"info":"compute unary expreesion, input=3858, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1322, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2256","layer":2},{"info":"compute unary expreesion, input=2256, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"compute unary expreesion, input=868, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":0}],"base":4,"result_base":4,"text":"(⨈⪑((⩦⩻⨪⪩⨒∯110222)⫦⪉(⇵⪽⪩⨒∯330102)))↓⨍⋜=⪩⨒∯1212332","reverse_text":"⪩⨒∯1212332=(⨈⪑((⩦⩻⨪⪩⨒∯110222)⫦⪉(⇵⪽⪩⨒∯330102)))↓⨍⋜","cot":[{"info":"⩦⩻⨪⪩⨒∯110222=⪩⨒∯110222","layer":3},{"info":"⇵⪽⪩⨒∯330102=NaN","layer":3},{"info":"⪩⨒∯110222⫦⪉NaN=⪩⨒∯203100","layer":2},{"info":"⨈⪑⪩⨒∯203100=⪩⨒∯31210","layer":1},{"info":"⪩⨒∯31210↓⨍⋜=⪩⨒∯1212332","layer":0}]}
{"id":596,"expression_no_base_symbol":"→⩰($4065$⪘⫢$3509$)⪟⇏($3900$⩵∡$1076$)⪥($5517$⨐$2743$⩎⪣⊞)","expression":"→⩰(⪩⨒∯333201⪘⫢⪩⨒∯312311)⪟⇏(⪩⨒∯330330⩵∡⪩⨒∯100310)⪥(⪩⨒∯1112031⨐⪩⨒∯222313⩎⪣⊞)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":159591,"operation_count":7,"complexity_ratio":22798.714285714286,"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":4065,"base":4},"right_expr":{"type":"numeric_atoms","value":3509,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3900,"base":4},"right_expr":{"type":"numeric_atoms","value":1076,"base":4}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5517,"base":4},"right_expr":{"type":"numeric_atoms","value":2743,"base":4}}}}},"used_operators":["o8Pngz0Tml","QbnwKVWMIQ","GODebY97qR","oacrs7FA3X","Y7wcNGrDQJ","waWucp1uQ4","Noe24qw2ks"],"dependent_operators":["9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","NTOWxs364D","glklzrTFfD","tifHPKVTfV","mp7IySMOzn","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4065","layer":4},{"info":"number node, value=3509","layer":4},{"info":"compute binary expreesion, left_input=4065, right_input=3509, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8006","layer":3},{"info":"number node, value=3900","layer":4},{"info":"number node, value=1076","layer":4},{"info":"compute binary expreesion, left_input=3900, right_input=1076, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6845","layer":3},{"info":"compute binary expreesion, left_input=8006, right_input=-6845, 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":"number node, value=5517","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=5517, right_input=2743, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-11034","layer":3},{"info":"compute unary expreesion, input=-11034, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=4648","layer":1},{"info":"compute unary expreesion, input=4648, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"→⩰(⪩⨒∯333201⪘⫢⪩⨒∯312311)⪟⇏(⪩⨒∯330330⩵∡⪩⨒∯100310)⪥(⪩⨒∯1112031⨐⪩⨒∯222313⩎⪣⊞)=NaN","reverse_text":"NaN=→⩰(⪩⨒∯333201⪘⫢⪩⨒∯312311)⪟⇏(⪩⨒∯330330⩵∡⪩⨒∯100310)⪥(⪩⨒∯1112031⨐⪩⨒∯222313⩎⪣⊞)","cot":[{"info":"⪩⨒∯333201⪘⫢⪩⨒∯312311=⪩⨒∯1331012","layer":3},{"info":"⪩⨒∯330330⩵∡⪩⨒∯100310=⪩⨒∯-1222331","layer":3},{"info":"⪩⨒∯1331012⪟⇏⪩⨒∯-1222331=⪩⨒∯-1","layer":2},{"info":"⪩⨒∯1112031⨐⪩⨒∯222313=⪩⨒∯-2230122","layer":3},{"info":"⪩⨒∯-2230122⩎⪣⊞=NaN","layer":2},{"info":"⪩⨒∯-1⪥NaN=⪩⨒∯1020220","layer":1},{"info":"→⩰⪩⨒∯1020220=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"((($2150$⫏⊷)⇼⇔∾$1344$⩵∡$9136$)∵≐)≳⇉(($2944$⪐)≓∲$3720$⨭⪣$2023$)↳≱(($5839$⨑≵⋬$3000$)⫯⪬∳($4459$⇍⊗$7283$))","expression":"(((⪩⨒∯201212⫏⊷)⇼⇔∾⪩⨒∯111000⩵∡⪩⨒∯2032300)∵≐)≳⇉((⪩⨒∯232000⪐)≓∲⪩⨒∯322020⨭⪣⪩⨒∯133213)↳≱((⪩⨒∯1123033⨑≵⋬⪩⨒∯232320)⫯⪬∳(⪩⨒∯1011223⇍⊗⪩⨒∯1301303))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6956,"operation_count":12,"complexity_ratio":579.6666666666666,"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":2150,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1344,"base":4},"right_expr":{"type":"numeric_atoms","value":9136,"base":4}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2944,"base":4}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3720,"base":4},"right_expr":{"type":"numeric_atoms","value":2023,"base":4}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5839,"base":4},"right_expr":{"type":"numeric_atoms","value":3000,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":4459,"base":4},"right_expr":{"type":"numeric_atoms","value":7283,"base":4}}}}},"used_operators":["V0kx6qeWkN","59igzFyhWz","tifHPKVTfV","dcShxvzhyw","Y7wcNGrDQJ","JwTKLfZU96","s1XTVnmDOJ","eH2TOUuTDT","kn8WO9XteQ","d7ASUq0ydm","XnXgA4xnOs","5uvYHDjeKN"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2150","layer":4},{"info":"compute unary expreesion, input=2150, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"number node, value=1344","layer":4},{"info":"number node, value=9136","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=9136, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=6327","layer":3},{"info":"compute binary expreesion, left_input=-820, right_input=6327, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7147","layer":2},{"info":"compute unary expreesion, input=7147, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=6201","layer":1},{"info":"number node, value=2944","layer":4},{"info":"compute unary expreesion, input=2944, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5888","layer":3},{"info":"number node, value=3720","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=3720, right_input=2023, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2441","layer":3},{"info":"compute binary expreesion, left_input=5888, right_input=2441, 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=59663","layer":2},{"info":"number node, value=5839","layer":4},{"info":"number node, value=3000","layer":4},{"info":"compute binary expreesion, left_input=5839, right_input=3000, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=9574","layer":3},{"info":"number node, value=4459","layer":4},{"info":"number node, value=7283","layer":4},{"info":"compute binary expreesion, left_input=4459, right_input=7283, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=9574, right_input=-244, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=48147","layer":2},{"info":"compute binary expreesion, left_input=59663, right_input=48147, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=6201, right_input=0, op_id = V0kx6qeWkN binary_op_definition= 'a≳⇉b = { ((b⪁b)∌↝(a∷b)) , if (a∀⋜↑)<109 ; ((b⫘a)∠↢(a⨐⩸⫘a)) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯201212⫏⊷)⇼⇔∾⪩⨒∯111000⩵∡⪩⨒∯2032300)∵≐)≳⇉((⪩⨒∯232000⪐)≓∲⪩⨒∯322020⨭⪣⪩⨒∯133213)↳≱((⪩⨒∯1123033⨑≵⋬⪩⨒∯232320)⫯⪬∳(⪩⨒∯1011223⇍⊗⪩⨒∯1301303))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(((⪩⨒∯201212⫏⊷)⇼⇔∾⪩⨒∯111000⩵∡⪩⨒∯2032300)∵≐)≳⇉((⪩⨒∯232000⪐)≓∲⪩⨒∯322020⨭⪣⪩⨒∯133213)↳≱((⪩⨒∯1123033⨑≵⋬⪩⨒∯232320)⫯⪬∳(⪩⨒∯1011223⇍⊗⪩⨒∯1301303))","cot":[{"info":"⪩⨒∯201212⫏⊷=⪩⨒∯-30310","layer":3},{"info":"⪩⨒∯111000⩵∡⪩⨒∯2032300=⪩⨒∯1202313","layer":3},{"info":"⪩⨒∯-30310⇼⇔∾⪩⨒∯1202313=⪩⨒∯1233223","layer":2},{"info":"⪩⨒∯1233223∵≐=⪩⨒∯1200321","layer":1},{"info":"⪩⨒∯232000⪐=⪩⨒∯1130000","layer":3},{"info":"⪩⨒∯322020⨭⪣⪩⨒∯133213=⪩⨒∯212021","layer":3},{"info":"⪩⨒∯1130000≓∲⪩⨒∯212021=⪩⨒∯32210033","layer":2},{"info":"⪩⨒∯1123033⨑≵⋬⪩⨒∯232320=⪩⨒∯2111212","layer":3},{"info":"⪩⨒∯1011223⇍⊗⪩⨒∯1301303=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯2111212⫯⪬∳⪩⨒∯-3310=⪩⨒∯23300103","layer":2},{"info":"⪩⨒∯32210033↳≱⪩⨒∯23300103=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1200321≳⇉⪩⨒∯0=⪩⨒∯0","layer":0}]}
{"id":598,"expression_no_base_symbol":"(⨭⩧⫛$2021$)⊬⨰($6990$↸$3605$)↙(≸≮$2860$⪔⊥$8660$)⊉≛↸(⫶⊄≣(($3118$+⇶⊼$5272$)∣(⊤⊝$3332$)))","expression":"(⨭⩧⫛⪩⨒∯133211)⊬⨰(⪩⨒∯1231032↸⪩⨒∯320111)↙(≸≮⪩⨒∯230230⪔⊥⪩⨒∯2013110)⊉≛↸(⫶⊄≣((⪩⨒∯300232+⇶⊼⪩⨒∯1102120)∣(⊤⊝⪩⨒∯310010)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3738,"operation_count":11,"complexity_ratio":339.8181818181818,"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":2021,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":6990,"base":4},"right_expr":{"type":"numeric_atoms","value":3605,"base":4}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":2860,"base":4},"right_expr":{"type":"numeric_atoms","value":8660,"base":4}}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3118,"base":4},"right_expr":{"type":"numeric_atoms","value":5272,"base":4}},"right_expr":{"type":"unary","operator":"⊤⊝","unary_expr":{"type":"numeric_atoms","value":3332,"base":4}}}}},"used_operators":["DZ8iAZOCBD","yyfyN0ffXY","s3Fd5m9Dh2","g21JL6JxX7","1eCjFl0mb9","AljMvE3RRm","HJ9erzHUuu","wxb3vTeyAj","PPChnnnBFF","TpPTUOHfaN","rXAclfmB4M"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","AHs5Up7iyr","sdazOOVcIp"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2021","layer":4},{"info":"compute unary expreesion, input=2021, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=6990","layer":4},{"info":"number node, value=3605","layer":4},{"info":"compute binary expreesion, left_input=6990, right_input=3605, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=6990","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6990, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":2},{"info":"number node, value=2860","layer":4},{"info":"number node, value=8660","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=8660, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-6079","layer":3},{"info":"compute unary expreesion, input=-6079, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=91968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=91968, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=3118","layer":4},{"info":"number node, value=5272","layer":4},{"info":"compute binary expreesion, left_input=3118, 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":3},{"info":"number node, value=3332","layer":4},{"info":"compute unary expreesion, input=3332, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=5366","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5366, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⨭⩧⫛⪩⨒∯133211)⊬⨰(⪩⨒∯1231032↸⪩⨒∯320111)↙(≸≮⪩⨒∯230230⪔⊥⪩⨒∯2013110)⊉≛↸(⫶⊄≣((⪩⨒∯300232+⇶⊼⪩⨒∯1102120)∣(⊤⊝⪩⨒∯310010)))=NaN","reverse_text":"NaN=(⨭⩧⫛⪩⨒∯133211)⊬⨰(⪩⨒∯1231032↸⪩⨒∯320111)↙(≸≮⪩⨒∯230230⪔⊥⪩⨒∯2013110)⊉≛↸(⫶⊄≣((⪩⨒∯300232+⇶⊼⪩⨒∯1102120)∣(⊤⊝⪩⨒∯310010)))","cot":[{"info":"⨭⩧⫛⪩⨒∯133211=NaN","layer":3},{"info":"⪩⨒∯1231032↸⪩⨒∯320111=⪩⨒∯1231032","layer":3},{"info":"NaN⊬⨰⪩⨒∯1231032=NaN","layer":2},{"info":"⪩⨒∯230230⪔⊥⪩⨒∯2013110=⪩⨒∯-1132333","layer":3},{"info":"≸≮⪩⨒∯-1132333=⪩⨒∯112131000","layer":2},{"info":"NaN↙⪩⨒∯112131000=NaN","layer":1},{"info":"⪩⨒∯300232+⇶⊼⪩⨒∯1102120=NaN","layer":3},{"info":"⊤⊝⪩⨒∯310010=⪩⨒∯1103312","layer":3},{"info":"NaN∣⪩⨒∯1103312=NaN","layer":2},{"info":"⫶⊄≣NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":599,"expression_no_base_symbol":"≅≯⇸$3545$⪬$9898$⨂≜(≑⋹$1117$)⩇∃⫛($3165$⪭≯$8167$⫸⊐$4978$⋹⋡⊁$1383$)","expression":"≅≯⇸⪩⨒∯313121⪬⪩⨒∯2122222⨂≜(≑⋹⪩⨒∯101131)⩇∃⫛(⪩⨒∯301131⪭≯⪩⨒∯1333213⫸⊐⪩⨒∯1031302⋹⋡⊁⪩⨒∯111213)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":64688,"operation_count":8,"complexity_ratio":8086.0,"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":3545,"base":4},"right_expr":{"type":"numeric_atoms","value":9898,"base":4}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":1117,"base":4}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3165,"base":4},"right_expr":{"type":"numeric_atoms","value":8167,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4978,"base":4},"right_expr":{"type":"numeric_atoms","value":1383,"base":4}}}}},"used_operators":["apS25hmuAe","1aApVXNlOP","k1SHOSEABc","Ez1Nq5fNfI","6B9nyZLogK","mqXw5SEYmG","XAx5wpdLa6","As8RqfVLgs"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3545","layer":4},{"info":"number node, value=9898","layer":4},{"info":"compute binary expreesion, left_input=3545, right_input=9898, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1117","layer":4},{"info":"compute unary expreesion, input=1117, 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=1234, right_input=1650, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=3165","layer":4},{"info":"number node, value=8167","layer":4},{"info":"compute binary expreesion, left_input=3165, right_input=8167, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=4978","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=4978, right_input=1383, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2133","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2133, 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":"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 unary expreesion, input=nan, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"≅≯⇸⪩⨒∯313121⪬⪩⨒∯2122222⨂≜(≑⋹⪩⨒∯101131)⩇∃⫛(⪩⨒∯301131⪭≯⪩⨒∯1333213⫸⊐⪩⨒∯1031302⋹⋡⊁⪩⨒∯111213)=NaN","reverse_text":"NaN=≅≯⇸⪩⨒∯313121⪬⪩⨒∯2122222⨂≜(≑⋹⪩⨒∯101131)⩇∃⫛(⪩⨒∯301131⪭≯⪩⨒∯1333213⫸⊐⪩⨒∯1031302⋹⋡⊁⪩⨒∯111213)","cot":[{"info":"⪩⨒∯313121⪬⪩⨒∯2122222=⪩⨒∯103102","layer":3},{"info":"≑⋹⪩⨒∯101131=⪩⨒∯121302","layer":3},{"info":"⪩⨒∯103102⨂≜⪩⨒∯121302=NaN","layer":2},{"info":"⪩⨒∯301131⪭≯⪩⨒∯1333213=NaN","layer":3},{"info":"⪩⨒∯1031302⋹⋡⊁⪩⨒∯111213=⪩⨒∯201111","layer":3},{"info":"NaN⫸⊐⪩⨒∯201111=NaN","layer":2},{"info":"NaN⩇∃⫛NaN=NaN","layer":1},{"info":"≅≯⇸NaN=NaN","layer":0}]}
{"id":600,"expression_no_base_symbol":"⇖⫷⫕((⋃($1256$⪄$5705$))⋻⩜⩜((⨡↴$1023$)%(⇖$1470$)))","expression":"⇖⫷⫕((⋃(⪩⨒∯103220⪄⪩⨒∯1121021))⋻⩜⩜((⨡↴⪩⨒∯33333)%(⇖⪩⨒∯112332)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2942,"operation_count":7,"complexity_ratio":420.2857142857143,"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":1256,"base":4},"right_expr":{"type":"numeric_atoms","value":5705,"base":4}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨡↴","unary_expr":{"type":"numeric_atoms","value":1023,"base":4}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1470,"base":4}}}}},"used_operators":["UHmRx3INFg","oDCm7WA9JY","3mBM5G4a3l","SUmda5xLS4","k8jYdgA6NY","liw5iZPkLH","tfWHHpNKUN"],"dependent_operators":["DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","g55IO6H4Gj","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","P8v4zCKN1o","2DQ55sFlQl"],"result":"⪩⨒∯230012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1256","layer":4},{"info":"number node, value=5705","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=5705, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-204797","layer":3},{"info":"compute unary expreesion, input=-204797, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-409492","layer":2},{"info":"number node, value=1023","layer":4},{"info":"compute unary expreesion, input=1023, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=2072","layer":3},{"info":"number node, value=1470","layer":4},{"info":"compute unary expreesion, input=1470, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2072, right_input=160, op_id = k8jYdgA6NY binary_op_definition= 'None', output=152","layer":2},{"info":"compute binary expreesion, left_input=-409492, right_input=152, 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":1},{"info":"compute unary expreesion, input=nan, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":0}],"base":4,"result_base":4,"text":"⇖⫷⫕((⋃(⪩⨒∯103220⪄⪩⨒∯1121021))⋻⩜⩜((⨡↴⪩⨒∯33333)%(⇖⪩⨒∯112332)))=⪩⨒∯230012","reverse_text":"⪩⨒∯230012=⇖⫷⫕((⋃(⪩⨒∯103220⪄⪩⨒∯1121021))⋻⩜⩜((⨡↴⪩⨒∯33333)%(⇖⪩⨒∯112332)))","cot":[{"info":"⪩⨒∯103220⪄⪩⨒∯1121021=⪩⨒∯-301333331","layer":3},{"info":"⋃⪩⨒∯-301333331=⪩⨒∯-1203332110","layer":2},{"info":"⨡↴⪩⨒∯33333=⪩⨒∯200120","layer":3},{"info":"⇖⪩⨒∯112332=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯200120%⪩⨒∯2200=⪩⨒∯2120","layer":2},{"info":"⪩⨒∯-1203332110⋻⩜⩜⪩⨒∯2120=NaN","layer":1},{"info":"⇖⫷⫕NaN=⪩⨒∯230012","layer":0}]}
{"id":601,"expression_no_base_symbol":"($4501$∑⇟⊟$1607$)⇍⊗($3128$≄⊠$5534$)≬⋮(⪨⨬$5799$)↙$1185$⩘$1324$⨑≵⋬($1003$⨎⋸⪻)+⪬∐($1552$⊋≦⊧$1205$)+⪬∐($1045$⪔⊥$1220$⪭$3426$⪮%⊝$4573$)","expression":"(⪩⨒∯1012111∑⇟⊟⪩⨒∯121013)⇍⊗(⪩⨒∯300320≄⊠⪩⨒∯1112132)≬⋮(⪨⨬⪩⨒∯1122213)↙⪩⨒∯102201⩘⪩⨒∯110230⨑≵⋬(⪩⨒∯33223⨎⋸⪻)+⪬∐(⪩⨒∯120100⊋≦⊧⪩⨒∯102311)+⪬∐(⪩⨒∯100111⪔⊥⪩⨒∯103010⪭⪩⨒∯311202⪮%⊝⪩⨒∯1013131)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":317,"operation_count":15,"complexity_ratio":21.133333333333333,"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":4501,"base":4},"right_expr":{"type":"numeric_atoms","value":1607,"base":4}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3128,"base":4},"right_expr":{"type":"numeric_atoms","value":5534,"base":4}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":5799,"base":4}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":1185,"base":4},"right_expr":{"type":"numeric_atoms","value":1324,"base":4}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1003,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1552,"base":4},"right_expr":{"type":"numeric_atoms","value":1205,"base":4}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1045,"base":4},"right_expr":{"type":"numeric_atoms","value":1220,"base":4}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3426,"base":4},"right_expr":{"type":"numeric_atoms","value":4573,"base":4}}}}},"used_operators":["XnXgA4xnOs","kbkesczE7y","5uvYHDjeKN","U7g4x0WXJJ","vXNesLlMH1","yyfyN0ffXY","5obUd6DV38","cHh1gJQ2o6","2GS7woTJqF","Dk5vyLCiGd","oRDoc9rAEX","j9kHMeSvPp","HJ9erzHUuu","IWmyXbctLI"],"dependent_operators":["eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","tmPS8pqC7x","DpFCA1CohY","T2fj7uvVaJ","nlCqmYiOvY","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","g55IO6H4Gj","D4vGDi5EA2","IWmyXbctLI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"⪩⨒∯-202110113","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4501","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=1607, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3128","layer":4},{"info":"number node, value=5534","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=5534, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=93212","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=93212, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":2},{"info":"number node, value=5799","layer":4},{"info":"compute unary expreesion, input=5799, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=1185","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1324, 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=-526, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=-244, right_input=-526, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=2322","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=1205, 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=-2170","layer":3},{"info":"compute binary expreesion, left_input=2322, right_input=-2170, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-6966","layer":2},{"info":"number node, value=1045","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=1045, right_input=1220, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1541","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=4573","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=4573, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7168","layer":3},{"info":"compute binary expreesion, left_input=1541, right_input=7168, 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=-6966, right_input=5, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=20898","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=20898, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-140567","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1012111∑⇟⊟⪩⨒∯121013)⇍⊗(⪩⨒∯300320≄⊠⪩⨒∯1112132)≬⋮(⪨⨬⪩⨒∯1122213)↙⪩⨒∯102201⩘⪩⨒∯110230⨑≵⋬(⪩⨒∯33223⨎⋸⪻)+⪬∐(⪩⨒∯120100⊋≦⊧⪩⨒∯102311)+⪬∐(⪩⨒∯100111⪔⊥⪩⨒∯103010⪭⪩⨒∯311202⪮%⊝⪩⨒∯1013131)=⪩⨒∯-202110113","reverse_text":"⪩⨒∯-202110113=(⪩⨒∯1012111∑⇟⊟⪩⨒∯121013)⇍⊗(⪩⨒∯300320≄⊠⪩⨒∯1112132)≬⋮(⪨⨬⪩⨒∯1122213)↙⪩⨒∯102201⩘⪩⨒∯110230⨑≵⋬(⪩⨒∯33223⨎⋸⪻)+⪬∐(⪩⨒∯120100⊋≦⊧⪩⨒∯102311)+⪬∐(⪩⨒∯100111⪔⊥⪩⨒∯103010⪭⪩⨒∯311202⪮%⊝⪩⨒∯1013131)","cot":[{"info":"⪩⨒∯1012111∑⇟⊟⪩⨒∯121013=NaN","layer":3},{"info":"⪩⨒∯300320≄⊠⪩⨒∯1112132=⪩⨒∯112300130","layer":3},{"info":"NaN⇍⊗⪩⨒∯112300130=⪩⨒∯-3310","layer":2},{"info":"⪨⨬⪩⨒∯1122213=⪩⨒∯-20032","layer":3},{"info":"⪩⨒∯102201⩘⪩⨒∯110230=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-20032↙⪩⨒∯2200=⪩⨒∯-20032","layer":2},{"info":"⪩⨒∯-3310≬⋮⪩⨒∯-20032=⪩⨒∯31210","layer":1},{"info":"⪩⨒∯33223⨎⋸⪻=⪩⨒∯210102","layer":3},{"info":"⪩⨒∯120100⊋≦⊧⪩⨒∯102311=⪩⨒∯-201322","layer":3},{"info":"⪩⨒∯210102+⪬∐⪩⨒∯-201322=⪩⨒∯-1230312","layer":2},{"info":"⪩⨒∯100111⪔⊥⪩⨒∯103010=⪩⨒∯120011","layer":3},{"info":"⪩⨒∯311202⪮%⊝⪩⨒∯1013131=⪩⨒∯1300000","layer":3},{"info":"⪩⨒∯120011⪭⪩⨒∯1300000=⪩⨒∯11","layer":2},{"info":"⪩⨒∯-1230312+⪬∐⪩⨒∯11=⪩⨒∯11012202","layer":1},{"info":"⪩⨒∯31210⨑≵⋬⪩⨒∯11012202=⪩⨒∯-202110113","layer":0}]}
{"id":602,"expression_no_base_symbol":"⇘(⩦⊞((↣≠⋷$2729$)⩇∃⫛$4939$⫞⩸⩒$1866$))","expression":"⇘(⩦⊞((↣≠⋷⪩⨒∯222221)⩇∃⫛⪩⨒∯1031023⫞⩸⩒⪩⨒∯131022))","highest_n_order":4,"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":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2729,"base":4}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":4939,"base":4},"right_expr":{"type":"numeric_atoms","value":1866,"base":4}}}}},"used_operators":["MGuIdZPyUC","u7fv1HBiaC","1aApVXNlOP","Asc51vEJeQ","XGcMNugi78"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","XhwjNDsVaA","AHs5Up7iyr","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=2729","layer":4},{"info":"compute unary expreesion, input=2729, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4939","layer":4},{"info":"number node, value=1866","layer":4},{"info":"compute binary expreesion, left_input=4939, right_input=1866, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1866","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1866, 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 unary expreesion, input=nan, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , 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":4,"result_base":4,"text":"⇘(⩦⊞((↣≠⋷⪩⨒∯222221)⩇∃⫛⪩⨒∯1031023⫞⩸⩒⪩⨒∯131022))=NaN","reverse_text":"NaN=⇘(⩦⊞((↣≠⋷⪩⨒∯222221)⩇∃⫛⪩⨒∯1031023⫞⩸⩒⪩⨒∯131022))","cot":[{"info":"↣≠⋷⪩⨒∯222221=NaN","layer":3},{"info":"⪩⨒∯1031023⫞⩸⩒⪩⨒∯131022=⪩⨒∯131022","layer":3},{"info":"NaN⩇∃⫛⪩⨒∯131022=NaN","layer":2},{"info":"⩦⊞NaN=NaN","layer":1},{"info":"⇘NaN=NaN","layer":0}]}
{"id":603,"expression_no_base_symbol":"($3827$⩚⊴⇥$1051$⋷($2985$⪨≂$6560$))↤⩊($6038$≠≀$3084$⨸⪁$1699$⨔⇊$1259$)⫏⊷","expression":"(⪩⨒∯323303⩚⊴⇥⪩⨒∯100123⋷(⪩⨒∯232221⪨≂⪩⨒∯1212200))↤⩊(⪩⨒∯1132112≠≀⪩⨒∯300030⨸⪁⪩⨒∯122203⨔⇊⪩⨒∯103223)⫏⊷","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":321,"operation_count":8,"complexity_ratio":40.125,"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":3827,"base":4},"right_expr":{"type":"numeric_atoms","value":1051,"base":4}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2985,"base":4},"right_expr":{"type":"numeric_atoms","value":6560,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":6038,"base":4},"right_expr":{"type":"numeric_atoms","value":3084,"base":4}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1699,"base":4},"right_expr":{"type":"numeric_atoms","value":1259,"base":4}}}}},"used_operators":["dcShxvzhyw","13rbtpv6ld","23Mk6UjR3U","NTOWxs364D","sdazOOVcIp","g55IO6H4Gj","IwW236VD4Y","JclMnS0uGI"],"dependent_operators":["FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3827","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=3827, right_input=1051, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4999","layer":3},{"info":"number node, value=2985","layer":4},{"info":"number node, value=6560","layer":4},{"info":"compute binary expreesion, left_input=2985, right_input=6560, 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=-7048","layer":3},{"info":"compute binary expreesion, left_input=-4999, right_input=-7048, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9998","layer":2},{"info":"number node, value=6038","layer":4},{"info":"number node, value=3084","layer":4},{"info":"compute binary expreesion, left_input=6038, right_input=3084, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-11770","layer":3},{"info":"number node, value=1699","layer":4},{"info":"number node, value=1259","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=1259, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1259","layer":3},{"info":"compute binary expreesion, left_input=-11770, right_input=1259, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-21022","layer":2},{"info":"compute binary expreesion, left_input=9998, right_input=-21022, 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 = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯323303⩚⊴⇥⪩⨒∯100123⋷(⪩⨒∯232221⪨≂⪩⨒∯1212200))↤⩊(⪩⨒∯1132112≠≀⪩⨒∯300030⨸⪁⪩⨒∯122203⨔⇊⪩⨒∯103223)⫏⊷=NaN","reverse_text":"NaN=(⪩⨒∯323303⩚⊴⇥⪩⨒∯100123⋷(⪩⨒∯232221⪨≂⪩⨒∯1212200))↤⩊(⪩⨒∯1132112≠≀⪩⨒∯300030⨸⪁⪩⨒∯122203⨔⇊⪩⨒∯103223)⫏⊷","cot":[{"info":"⪩⨒∯323303⩚⊴⇥⪩⨒∯100123=⪩⨒∯-1032013","layer":3},{"info":"⪩⨒∯232221⪨≂⪩⨒∯1212200=⪩⨒∯-1232020","layer":3},{"info":"⪩⨒∯-1032013⋷⪩⨒∯-1232020=⪩⨒∯2130032","layer":2},{"info":"⪩⨒∯1132112≠≀⪩⨒∯300030=⪩⨒∯-2313322","layer":3},{"info":"⪩⨒∯122203⨔⇊⪩⨒∯103223=⪩⨒∯103223","layer":3},{"info":"⪩⨒∯-2313322⨸⪁⪩⨒∯103223=⪩⨒∯-11020132","layer":2},{"info":"⪩⨒∯2130032↤⩊⪩⨒∯-11020132=NaN","layer":1},{"info":"NaN⫏⊷=NaN","layer":0}]}
{"id":604,"expression_no_base_symbol":"(↽≂($1220$≁$3968$)⇡⇂($2264$⨥⫆$7437$))∕⩚((($4425$⇷$4370$)⨫⇇↔($3647$∖$1061$))⊵↤)","expression":"(↽≂(⪩⨒∯103010≁⪩⨒∯332000)⇡⇂(⪩⨒∯203120⨥⫆⪩⨒∯1310031))∕⩚(((⪩⨒∯1011021⇷⪩⨒∯1010102)⨫⇇↔(⪩⨒∯320333∖⪩⨒∯100211))⊵↤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":145054,"operation_count":9,"complexity_ratio":16117.111111111111,"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":1220,"base":4},"right_expr":{"type":"numeric_atoms","value":3968,"base":4}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":2264,"base":4},"right_expr":{"type":"numeric_atoms","value":7437,"base":4}}}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4425,"base":4},"right_expr":{"type":"numeric_atoms","value":4370,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":3647,"base":4},"right_expr":{"type":"numeric_atoms","value":1061,"base":4}}}}},"used_operators":["z9ffQ9n5Zr","u6S6b8DprG","UMwdvZNt44","8N2wDY1A35","yXekIHxTD4","7IPrd9c3lf","LXhwmt4mBO","mp7IySMOzn","tXD093vOjl"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1220","layer":4},{"info":"number node, value=3968","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=3968, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=82031","layer":3},{"info":"number node, value=2264","layer":4},{"info":"number node, value=7437","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=7437, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=14750","layer":3},{"info":"compute binary expreesion, left_input=82031, right_input=14750, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"number node, value=4425","layer":4},{"info":"number node, value=4370","layer":4},{"info":"compute binary expreesion, left_input=4425, right_input=4370, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8740","layer":3},{"info":"number node, value=3647","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=1061, 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=8740, right_input=0, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, 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=2379","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2379, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↽≂(⪩⨒∯103010≁⪩⨒∯332000)⇡⇂(⪩⨒∯203120⨥⫆⪩⨒∯1310031))∕⩚(((⪩⨒∯1011021⇷⪩⨒∯1010102)⨫⇇↔(⪩⨒∯320333∖⪩⨒∯100211))⊵↤)=NaN","reverse_text":"NaN=(↽≂(⪩⨒∯103010≁⪩⨒∯332000)⇡⇂(⪩⨒∯203120⨥⫆⪩⨒∯1310031))∕⩚(((⪩⨒∯1011021⇷⪩⨒∯1010102)⨫⇇↔(⪩⨒∯320333∖⪩⨒∯100211))⊵↤)","cot":[{"info":"⪩⨒∯103010≁⪩⨒∯332000=⪩⨒∯110001233","layer":3},{"info":"⪩⨒∯203120⨥⫆⪩⨒∯1310031=⪩⨒∯3212132","layer":3},{"info":"⪩⨒∯110001233⇡⇂⪩⨒∯3212132=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⪩⨒∯1011021⇷⪩⨒∯1010102=⪩⨒∯2020210","layer":3},{"info":"⪩⨒∯320333∖⪩⨒∯100211=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2020210⨫⇇↔⪩⨒∯0=⪩⨒∯-20033","layer":2},{"info":"⪩⨒∯-20033⊵↤=⪩⨒∯211023","layer":1},{"info":"NaN∕⩚⪩⨒∯211023=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"(($1336$≁↽≥$5407$⩦(↞≼$2969$))⫿)⇞","expression":"((⪩⨒∯110320≁↽≥⪩⨒∯1110133⩦(↞≼⪩⨒∯232121))⫿)⇞","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":71,"operation_count":5,"complexity_ratio":14.2,"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":1336,"base":4},"right_expr":{"type":"numeric_atoms","value":5407,"base":4}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"numeric_atoms","value":2969,"base":4}}}}},"used_operators":["5JYyxRJd4f","9tKT6PmtkH","0kmYd0q39Y","ncHt1X6cMc","DE7zCoGJt9"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG"],"result":"⪩⨒∯322201021","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1336","layer":4},{"info":"number node, value=5407","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=5407, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=29972","layer":3},{"info":"number node, value=2969","layer":4},{"info":"compute unary expreesion, input=2969, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=23338","layer":3},{"info":"compute binary expreesion, left_input=29972, right_input=23338, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=59944","layer":2},{"info":"compute unary expreesion, input=59944, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=59944","layer":1},{"info":"compute unary expreesion, input=59944, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=239689","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯110320≁↽≥⪩⨒∯1110133⩦(↞≼⪩⨒∯232121))⫿)⇞=⪩⨒∯322201021","reverse_text":"⪩⨒∯322201021=((⪩⨒∯110320≁↽≥⪩⨒∯1110133⩦(↞≼⪩⨒∯232121))⫿)⇞","cot":[{"info":"⪩⨒∯110320≁↽≥⪩⨒∯1110133=⪩⨒∯13110110","layer":3},{"info":"↞≼⪩⨒∯232121=⪩⨒∯11230222","layer":3},{"info":"⪩⨒∯13110110⩦⪩⨒∯11230222=⪩⨒∯32220220","layer":2},{"info":"⪩⨒∯32220220⫿=⪩⨒∯32220220","layer":1},{"info":"⪩⨒∯32220220⇞=⪩⨒∯322201021","layer":0}]}
{"id":606,"expression_no_base_symbol":"(($3144$↙$6422$)⋳⪒$2326$⨰$1116$+($1115$⫲⨊)≦↸($3087$⇮⋭$1046$))≓∲($3925$⇄$2520$⫔⩽⩺(↥≼⋛$5287$))⪢(($1518$⇼⇔∾$3122$)≀⫉$1497$⊮⊟↴$3187$)","expression":"((⪩⨒∯301020↙⪩⨒∯1210112)⋳⪒⪩⨒∯210112⨰⪩⨒∯101130+(⪩⨒∯101123⫲⨊)≦↸(⪩⨒∯300033⇮⋭⪩⨒∯100112))≓∲(⪩⨒∯331111⇄⪩⨒∯213120⫔⩽⩺(↥≼⋛⪩⨒∯1102213))⪢((⪩⨒∯113232⇼⇔∾⪩⨒∯300302)≀⫉⪩⨒∯113121⊮⊟↴⪩⨒∯301303)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":25494,"operation_count":15,"complexity_ratio":1699.6,"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":3144,"base":4},"right_expr":{"type":"numeric_atoms","value":6422,"base":4}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2326,"base":4},"right_expr":{"type":"numeric_atoms","value":1116,"base":4}}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1115,"base":4}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":3087,"base":4},"right_expr":{"type":"numeric_atoms","value":1046,"base":4}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":3925,"base":4},"right_expr":{"type":"numeric_atoms","value":2520,"base":4}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":5287,"base":4}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1518,"base":4},"right_expr":{"type":"numeric_atoms","value":3122,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1497,"base":4},"right_expr":{"type":"numeric_atoms","value":3187,"base":4}}}}},"used_operators":["s1XTVnmDOJ","W4YGzv6Whe","12rbrZMWeM","yyfyN0ffXY","eewbuw0ToL","RygbFNSyEJ","CArV6hThFE","vkpjKywKVM","dWAJyo7jo9","i9eR4S00cU","3EYGwJThht","x5lMkHmzsq","oZj3VtZNQx","tifHPKVTfV","QDVgd2eftb"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","k8jYdgA6NY","Tw270M8GLb","fu6greOZ01","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3144","layer":4},{"info":"number node, value=6422","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=6422, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19266","layer":3},{"info":"number node, value=2326","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=1116, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1220","layer":3},{"info":"compute binary expreesion, left_input=-19266, right_input=1220, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-40039","layer":2},{"info":"number node, value=1115","layer":4},{"info":"compute unary expreesion, input=1115, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=6358","layer":3},{"info":"number node, value=3087","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=3087, right_input=1046, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"compute binary expreesion, left_input=6358, right_input=-473, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-5677","layer":2},{"info":"compute binary expreesion, left_input=-40039, right_input=-5677, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-45716","layer":1},{"info":"number node, value=3925","layer":4},{"info":"number node, value=2520","layer":4},{"info":"compute binary expreesion, left_input=3925, right_input=2520, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=5287","layer":4},{"info":"compute unary expreesion, input=5287, 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=0, right_input=-113, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"number node, value=1518","layer":4},{"info":"number node, value=3122","layer":4},{"info":"compute binary expreesion, left_input=1518, right_input=3122, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1604","layer":3},{"info":"number node, value=1497","layer":4},{"info":"number node, value=3187","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=3187, 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=1604, 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=nan, right_input=2822, 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=-45716, 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=67","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯301020↙⪩⨒∯1210112)⋳⪒⪩⨒∯210112⨰⪩⨒∯101130+(⪩⨒∯101123⫲⨊)≦↸(⪩⨒∯300033⇮⋭⪩⨒∯100112))≓∲(⪩⨒∯331111⇄⪩⨒∯213120⫔⩽⩺(↥≼⋛⪩⨒∯1102213))⪢((⪩⨒∯113232⇼⇔∾⪩⨒∯300302)≀⫉⪩⨒∯113121⊮⊟↴⪩⨒∯301303)=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⪩⨒∯301020↙⪩⨒∯1210112)⋳⪒⪩⨒∯210112⨰⪩⨒∯101130+(⪩⨒∯101123⫲⨊)≦↸(⪩⨒∯300033⇮⋭⪩⨒∯100112))≓∲(⪩⨒∯331111⇄⪩⨒∯213120⫔⩽⩺(↥≼⋛⪩⨒∯1102213))⪢((⪩⨒∯113232⇼⇔∾⪩⨒∯300302)≀⫉⪩⨒∯113121⊮⊟↴⪩⨒∯301303)","cot":[{"info":"⪩⨒∯301020↙⪩⨒∯1210112=⪩⨒∯-10231002","layer":3},{"info":"⪩⨒∯210112⨰⪩⨒∯101130=⪩⨒∯103010","layer":3},{"info":"⪩⨒∯-10231002⋳⪒⪩⨒∯103010=⪩⨒∯-21301213","layer":2},{"info":"⪩⨒∯101123⫲⨊=⪩⨒∯1203112","layer":3},{"info":"⪩⨒∯300033⇮⋭⪩⨒∯100112=⪩⨒∯-13121","layer":3},{"info":"⪩⨒∯1203112≦↸⪩⨒∯-13121=⪩⨒∯-1120231","layer":2},{"info":"⪩⨒∯-21301213+⪩⨒∯-1120231=⪩⨒∯-23022110","layer":1},{"info":"⪩⨒∯331111⇄⪩⨒∯213120=⪩⨒∯0","layer":3},{"info":"↥≼⋛⪩⨒∯1102213=⪩⨒∯-1301","layer":3},{"info":"⪩⨒∯0⫔⩽⩺⪩⨒∯-1301=NaN","layer":2},{"info":"⪩⨒∯113232⇼⇔∾⪩⨒∯300302=⪩⨒∯121010","layer":3},{"info":"⪩⨒∯113121⊮⊟↴⪩⨒∯301303=⪩⨒∯0","layer":3},{"info":"⪩⨒∯121010≀⫉⪩⨒∯0=⪩⨒∯230012","layer":2},{"info":"NaN⪢⪩⨒∯230012=NaN","layer":1},{"info":"⪩⨒∯-23022110≓∲NaN=⪩⨒∯1003","layer":0}]}
{"id":607,"expression_no_base_symbol":"(∨∊⋏(($2005$⊍)⨥⫆(↔$1103$)))⊟⇱","expression":"(∨∊⋏((⪩⨒∯133111⊍)⨥⫆(↔⪩⨒∯101033)))⊟⇱","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":120,"operation_count":5,"complexity_ratio":24.0,"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":2005,"base":4}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1103,"base":4}}}}},"used_operators":["03sUfWo75k","R5aXW34M0v","yXekIHxTD4","3nqY3DE9mg","ruOEQAzv1W"],"dependent_operators":["IWmyXbctLI","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"⪩⨒∯-10102132","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2005","layer":4},{"info":"compute unary expreesion, input=2005, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=4335","layer":3},{"info":"number node, value=1103","layer":4},{"info":"compute unary expreesion, input=1103, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-830","layer":3},{"info":"compute binary expreesion, left_input=4335, right_input=-830, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-8941","layer":1},{"info":"compute unary expreesion, input=-8941, op_id = 03sUfWo75k, unary_op_definition = 'a⊟⇱ = { (a⪮%⊝a) }', output=-17566","layer":0}],"base":4,"result_base":4,"text":"(∨∊⋏((⪩⨒∯133111⊍)⨥⫆(↔⪩⨒∯101033)))⊟⇱=⪩⨒∯-10102132","reverse_text":"⪩⨒∯-10102132=(∨∊⋏((⪩⨒∯133111⊍)⨥⫆(↔⪩⨒∯101033)))⊟⇱","cot":[{"info":"⪩⨒∯133111⊍=⪩⨒∯1003233","layer":3},{"info":"↔⪩⨒∯101033=⪩⨒∯-30332","layer":3},{"info":"⪩⨒∯1003233⨥⫆⪩⨒∯-30332=⪩⨒∯0","layer":2},{"info":"∨∊⋏⪩⨒∯0=⪩⨒∯-2023231","layer":1},{"info":"⪩⨒∯-2023231⊟⇱=⪩⨒∯-10102132","layer":0}]}
{"id":608,"expression_no_base_symbol":"(($3523$⪄$5638$)⊪)⊉↱≁(⊬↢($1627$⊹≧⊝))⪢(⨑⩽⪐(⋼∭⪍$5835$∌$5250$))","expression":"((⪩⨒∯313003⪄⪩⨒∯1120012)⊪)⊉↱≁(⊬↢(⪩⨒∯121123⊹≧⊝))⪢(⨑⩽⪐(⋼∭⪍⪩⨒∯1123023∌⪩⨒∯1102002))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1686576,"operation_count":9,"complexity_ratio":187397.33333333334,"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":3523,"base":4},"right_expr":{"type":"numeric_atoms","value":5638,"base":4}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1627,"base":4}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":5835,"base":4},"right_expr":{"type":"numeric_atoms","value":5250,"base":4}}}}},"used_operators":["dWAJyo7jo9","w2P8NbNXyL","zVYPLywUTj","SUmda5xLS4","WPoGxAaPR1","LxFB4K6j0n","AF7qkfDlqP","DbCuESL50I","8cLx32lpNA"],"dependent_operators":["k8jYdgA6NY","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3523","layer":4},{"info":"number node, value=5638","layer":4},{"info":"compute binary expreesion, left_input=3523, right_input=5638, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-540045","layer":3},{"info":"compute unary expreesion, input=-540045, 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=inf","layer":2},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-6508","layer":3},{"info":"compute unary expreesion, input=-6508, 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=inf, right_input=-55, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":1},{"info":"number node, value=5835","layer":4},{"info":"number node, value=5250","layer":4},{"info":"compute binary expreesion, left_input=5835, right_input=5250, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-5250","layer":3},{"info":"compute unary expreesion, input=-5250, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-31398","layer":2},{"info":"compute unary expreesion, input=-31398, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=63585","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=63585, 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":4,"result_base":4,"text":"((⪩⨒∯313003⪄⪩⨒∯1120012)⊪)⊉↱≁(⊬↢(⪩⨒∯121123⊹≧⊝))⪢(⨑⩽⪐(⋼∭⪍⪩⨒∯1123023∌⪩⨒∯1102002))=NaN","reverse_text":"NaN=((⪩⨒∯313003⪄⪩⨒∯1120012)⊪)⊉↱≁(⊬↢(⪩⨒∯121123⊹≧⊝))⪢(⨑⩽⪐(⋼∭⪍⪩⨒∯1123023∌⪩⨒∯1102002))","cot":[{"info":"⪩⨒∯313003⪄⪩⨒∯1120012=⪩⨒∯-2003312031","layer":3},{"info":"⪩⨒∯-2003312031⊪=Inf","layer":2},{"info":"⪩⨒∯121123⊹≧⊝=⪩⨒∯-1211230","layer":3},{"info":"⊬↢⪩⨒∯-1211230=⪩⨒∯-313","layer":2},{"info":"Inf⊉↱≁⪩⨒∯-313=NaN","layer":1},{"info":"⪩⨒∯1123023∌⪩⨒∯1102002=⪩⨒∯-1102002","layer":3},{"info":"⋼∭⪍⪩⨒∯-1102002=⪩⨒∯-13222212","layer":2},{"info":"⨑⩽⪐⪩⨒∯-13222212=⪩⨒∯33201201","layer":1},{"info":"NaN⪢⪩⨒∯33201201=NaN","layer":0}]}
{"id":609,"expression_no_base_symbol":"(∥⊫((⋃$1149$)⨌↪))∀⇚≩(($1212$⪃⊛⇣$1025$⫳≱↱(∥⊫$2042$))⪔($7420$↹⊜$3194$⪁(≘$9366$)))","expression":"(∥⊫((⋃⪩⨒∯101331)⨌↪))∀⇚≩((⪩⨒∯102330⪃⊛⇣⪩⨒∯100001⫳≱↱(∥⊫⪩⨒∯133322))⪔(⪩⨒∯1303330↹⊜⪩⨒∯301322⪁(≘⪩⨒∯2102112)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20658748,"operation_count":11,"complexity_ratio":1878068.0,"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":1149,"base":4}}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1212,"base":4},"right_expr":{"type":"numeric_atoms","value":1025,"base":4}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2042,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":7420,"base":4},"right_expr":{"type":"numeric_atoms","value":3194,"base":4}},"right_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":9366,"base":4}}}}},"used_operators":["LRNGc0VcxI","P8v4zCKN1o","cWQsF5MvuD","3mBM5G4a3l","GjBEYRfMaF","ZvLB05nZmT","rrgAzCduG9","I7sXao9hZE","9bazX3JMtO","tcjXMdvYtA"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","g55IO6H4Gj","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1149","layer":4},{"info":"compute unary expreesion, input=1149, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=2400","layer":3},{"info":"compute unary expreesion, input=2400, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":2},{"info":"compute unary expreesion, input=-480, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=388","layer":1},{"info":"number node, value=1212","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=1212, right_input=1025, 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=2042","layer":4},{"info":"compute unary expreesion, input=2042, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2910","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=2910, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=7420","layer":4},{"info":"number node, value=3194","layer":4},{"info":"compute binary expreesion, left_input=7420, right_input=3194, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=1968","layer":3},{"info":"number node, value=9366","layer":4},{"info":"compute unary expreesion, input=9366, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=20652814","layer":3},{"info":"compute binary expreesion, left_input=1968, right_input=20652814, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=nan, 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=388, 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":4,"result_base":4,"text":"(∥⊫((⋃⪩⨒∯101331)⨌↪))∀⇚≩((⪩⨒∯102330⪃⊛⇣⪩⨒∯100001⫳≱↱(∥⊫⪩⨒∯133322))⪔(⪩⨒∯1303330↹⊜⪩⨒∯301322⪁(≘⪩⨒∯2102112)))=NaN","reverse_text":"NaN=(∥⊫((⋃⪩⨒∯101331)⨌↪))∀⇚≩((⪩⨒∯102330⪃⊛⇣⪩⨒∯100001⫳≱↱(∥⊫⪩⨒∯133322))⪔(⪩⨒∯1303330↹⊜⪩⨒∯301322⪁(≘⪩⨒∯2102112)))","cot":[{"info":"⋃⪩⨒∯101331=⪩⨒∯211200","layer":3},{"info":"⪩⨒∯211200⨌↪=⪩⨒∯-13200","layer":2},{"info":"∥⊫⪩⨒∯-13200=⪩⨒∯12010","layer":1},{"info":"⪩⨒∯102330⪃⊛⇣⪩⨒∯100001=⪩⨒∯103102","layer":3},{"info":"∥⊫⪩⨒∯133322=⪩⨒∯231132","layer":3},{"info":"⪩⨒∯103102⫳≱↱⪩⨒∯231132=⪩⨒∯-3030","layer":2},{"info":"⪩⨒∯1303330↹⊜⪩⨒∯301322=⪩⨒∯132300","layer":3},{"info":"≘⪩⨒∯2102112=⪩⨒∯1032302030032","layer":3},{"info":"⪩⨒∯132300⪁⪩⨒∯1032302030032=NaN","layer":2},{"info":"⪩⨒∯-3030⪔NaN=NaN","layer":1},{"info":"⪩⨒∯12010∀⇚≩NaN=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"(↓⇌($4444$⋳⪒$3930$)↞⋁($2260$∖$5979$))↯⫤","expression":"(↓⇌(⪩⨒∯1011130⋳⪒⪩⨒∯331122)↞⋁(⪩⨒∯203110∖⪩⨒∯1131123))↯⫤","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":853,"operation_count":5,"complexity_ratio":170.6,"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":4444,"base":4},"right_expr":{"type":"numeric_atoms","value":3930,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2260,"base":4},"right_expr":{"type":"numeric_atoms","value":5979,"base":4}}}}},"used_operators":["VwlE7vj6HS","PxpmPgHHJV","RqrPlJkxDo","12rbrZMWeM","tXD093vOjl"],"dependent_operators":["W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=4444","layer":4},{"info":"number node, value=3930","layer":4},{"info":"compute binary expreesion, left_input=4444, right_input=3930, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4671","layer":3},{"info":"number node, value=2260","layer":4},{"info":"number node, value=5979","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=5979, 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=4671, right_input=0, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , 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":"compute unary expreesion, input=nan, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↓⇌(⪩⨒∯1011130⋳⪒⪩⨒∯331122)↞⋁(⪩⨒∯203110∖⪩⨒∯1131123))↯⫤=NaN","reverse_text":"NaN=(↓⇌(⪩⨒∯1011130⋳⪒⪩⨒∯331122)↞⋁(⪩⨒∯203110∖⪩⨒∯1131123))↯⫤","cot":[{"info":"⪩⨒∯1011130⋳⪒⪩⨒∯331122=⪩⨒∯1020333","layer":3},{"info":"⪩⨒∯203110∖⪩⨒∯1131123=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1020333↞⋁⪩⨒∯0=NaN","layer":2},{"info":"↓⇌NaN=NaN","layer":1},{"info":"NaN↯⫤=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"((⫡⇟⇯$1006$)⇌⫙⪟(∂⩏⊆$4044$)⨵⪆($1799$⫲⨊)⪃⊛⇣($3043$⫌⩉⩟$3310$))↓⨍⋜","expression":"((⫡⇟⇯⪩⨒∯33232)⇌⫙⪟(∂⩏⊆⪩⨒∯333030)⨵⪆(⪩⨒∯130013⫲⨊)⪃⊛⇣(⪩⨒∯233203⫌⩉⩟⪩⨒∯303232))↓⨍⋜","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21378,"operation_count":8,"complexity_ratio":2672.25,"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":1006,"base":4}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":4044,"base":4}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1799,"base":4}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3043,"base":4},"right_expr":{"type":"numeric_atoms","value":3310,"base":4}}}}},"used_operators":["3DVzLFNsE9","2DQ55sFlQl","AFVx7xoS7T","qWUSsah53b","8WDwsbhb0R","rrgAzCduG9","CArV6hThFE","XIIwhv8d0m"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DZ8iAZOCBD","P8v4zCKN1o","14qkJME0vr","eLAdDNolq6","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"⪩⨒∯1223131","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=2880","layer":3},{"info":"number node, value=4044","layer":4},{"info":"compute unary expreesion, input=4044, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-12211","layer":3},{"info":"compute binary expreesion, left_input=2880, right_input=-12211, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=55331","layer":2},{"info":"number node, value=1799","layer":4},{"info":"compute unary expreesion, input=1799, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=9778","layer":3},{"info":"number node, value=3043","layer":4},{"info":"number node, value=3310","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=3310, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=9778, right_input=-50, 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=55331, right_input=1234, 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 = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6877","layer":0}],"base":4,"result_base":4,"text":"((⫡⇟⇯⪩⨒∯33232)⇌⫙⪟(∂⩏⊆⪩⨒∯333030)⨵⪆(⪩⨒∯130013⫲⨊)⪃⊛⇣(⪩⨒∯233203⫌⩉⩟⪩⨒∯303232))↓⨍⋜=⪩⨒∯1223131","reverse_text":"⪩⨒∯1223131=((⫡⇟⇯⪩⨒∯33232)⇌⫙⪟(∂⩏⊆⪩⨒∯333030)⨵⪆(⪩⨒∯130013⫲⨊)⪃⊛⇣(⪩⨒∯233203⫌⩉⩟⪩⨒∯303232))↓⨍⋜","cot":[{"info":"⫡⇟⇯⪩⨒∯33232=⪩⨒∯231000","layer":3},{"info":"∂⩏⊆⪩⨒∯333030=⪩⨒∯-2332303","layer":3},{"info":"⪩⨒∯231000⇌⫙⪟⪩⨒∯-2332303=⪩⨒∯31200203","layer":2},{"info":"⪩⨒∯130013⫲⨊=⪩⨒∯2120302","layer":3},{"info":"⪩⨒∯233203⫌⩉⩟⪩⨒∯303232=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯2120302⪃⊛⇣⪩⨒∯-302=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯31200203⨵⪆⪩⨒∯103102=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯2200↓⨍⋜=⪩⨒∯1223131","layer":0}]}
{"id":612,"expression_no_base_symbol":"(($7804$∪⫐$6249$)⨻⩈⩔($1309$+⇶⊼$1429$))⫁⪎($1151$⫰⋱$2517$)⫁⪎(∂$4561$)⊴((⇋⊎⋝($1386$⋥≓≎$2276$))⋳⪒($1220$∋$1692$≬⋮$5337$≠≀$6352$))","expression":"((⪩⨒∯1321330∪⫐⪩⨒∯1201221)⨻⩈⩔(⪩⨒∯110131+⇶⊼⪩⨒∯112111))⫁⪎(⪩⨒∯101333⫰⋱⪩⨒∯213111)⫁⪎(∂⪩⨒∯1013101)⊴((⇋⊎⋝(⪩⨒∯111222⋥≓≎⪩⨒∯203210))⋳⪒(⪩⨒∯103010∋⪩⨒∯122130≬⋮⪩⨒∯1103121≠≀⪩⨒∯1203100))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3473,"operation_count":14,"complexity_ratio":248.07142857142858,"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":7804,"base":4},"right_expr":{"type":"numeric_atoms","value":6249,"base":4}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1309,"base":4},"right_expr":{"type":"numeric_atoms","value":1429,"base":4}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1151,"base":4},"right_expr":{"type":"numeric_atoms","value":2517,"base":4}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4561,"base":4}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1386,"base":4},"right_expr":{"type":"numeric_atoms","value":2276,"base":4}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1220,"base":4},"right_expr":{"type":"numeric_atoms","value":1692,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5337,"base":4},"right_expr":{"type":"numeric_atoms","value":6352,"base":4}}}}},"used_operators":["Nsiff2A1zJ","xRrnTEsQ6j","nEsXyWgiOK","7YooWSwCyH","TpPTUOHfaN","6o9Blt3TJ6","Uaa54Peajs","12rbrZMWeM","CzM2PEoXns","Qy55tPpLXF","kbkesczE7y","ukq6epAj5P","IwW236VD4Y"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rJVOvQCfKK","2DDjHMKMc0","AHs5Up7iyr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7804","layer":4},{"info":"number node, value=6249","layer":4},{"info":"compute binary expreesion, left_input=7804, right_input=6249, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=7804","layer":3},{"info":"number node, value=1309","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=1309, right_input=1429, 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=7804, right_input=nan, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=54031","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=2517, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1118","layer":3},{"info":"number node, value=4561","layer":4},{"info":"compute unary expreesion, input=4561, 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=-1118, 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=54031, 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=1386","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=2276, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3199","layer":3},{"info":"compute unary expreesion, input=3199, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=1220","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=1692, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3515592","layer":3},{"info":"number node, value=5337","layer":4},{"info":"number node, value=6352","layer":4},{"info":"compute binary expreesion, left_input=5337, right_input=6352, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-10368","layer":3},{"info":"compute binary expreesion, left_input=3515592, right_input=-10368, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, 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=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1321330∪⫐⪩⨒∯1201221)⨻⩈⩔(⪩⨒∯110131+⇶⊼⪩⨒∯112111))⫁⪎(⪩⨒∯101333⫰⋱⪩⨒∯213111)⫁⪎(∂⪩⨒∯1013101)⊴((⇋⊎⋝(⪩⨒∯111222⋥≓≎⪩⨒∯203210))⋳⪒(⪩⨒∯103010∋⪩⨒∯122130≬⋮⪩⨒∯1103121≠≀⪩⨒∯1203100))=NaN","reverse_text":"NaN=((⪩⨒∯1321330∪⫐⪩⨒∯1201221)⨻⩈⩔(⪩⨒∯110131+⇶⊼⪩⨒∯112111))⫁⪎(⪩⨒∯101333⫰⋱⪩⨒∯213111)⫁⪎(∂⪩⨒∯1013101)⊴((⇋⊎⋝(⪩⨒∯111222⋥≓≎⪩⨒∯203210))⋳⪒(⪩⨒∯103010∋⪩⨒∯122130≬⋮⪩⨒∯1103121≠≀⪩⨒∯1203100))","cot":[{"info":"⪩⨒∯1321330∪⫐⪩⨒∯1201221=⪩⨒∯1321330","layer":3},{"info":"⪩⨒∯110131+⇶⊼⪩⨒∯112111=NaN","layer":3},{"info":"⪩⨒∯1321330⨻⩈⩔NaN=⪩⨒∯31030033","layer":2},{"info":"⪩⨒∯101333⫰⋱⪩⨒∯213111=⪩⨒∯-101132","layer":3},{"info":"∂⪩⨒∯1013101=NaN","layer":3},{"info":"⪩⨒∯-101132⫁⪎NaN=NaN","layer":2},{"info":"⪩⨒∯31030033⫁⪎NaN=NaN","layer":1},{"info":"⪩⨒∯111222⋥≓≎⪩⨒∯203210=⪩⨒∯301333","layer":3},{"info":"⇋⊎⋝⪩⨒∯301333=NaN","layer":2},{"info":"⪩⨒∯103010∋⪩⨒∯122130=⪩⨒∯31122103020","layer":3},{"info":"⪩⨒∯1103121≠≀⪩⨒∯1203100=⪩⨒∯-2202000","layer":3},{"info":"⪩⨒∯31122103020≬⋮⪩⨒∯-2202000=⪩⨒∯31210","layer":2},{"info":"NaN⋳⪒⪩⨒∯31210=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"⊖($1490$⨫⇇↔$2855$)≁($1037$∈)∳⫺((⇜⊴$9540$)⨸⪁$1698$↓$8309$)","expression":"⊖(⪩⨒∯113102⨫⇇↔⪩⨒∯230213)≁(⪩⨒∯100031∈)∳⫺((⇜⊴⪩⨒∯2111010)⨸⪁⪩⨒∯122202↓⪩⨒∯2001311)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":116868,"operation_count":8,"complexity_ratio":14608.5,"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":1490,"base":4},"right_expr":{"type":"numeric_atoms","value":2855,"base":4}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":1037,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":9540,"base":4}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1698,"base":4},"right_expr":{"type":"numeric_atoms","value":8309,"base":4}}}}},"used_operators":["U6pG0PXrV3","AzXXKTstlj","8N2wDY1A35","LXhwmt4mBO","ztP7wcbY7m","g55IO6H4Gj","XwDhCwWbUn","Af076pWI7l"],"dependent_operators":["tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","W4YGzv6Whe","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⪩⨒∯30030","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1490","layer":4},{"info":"number node, value=2855","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=2855, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=2440","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=2440, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=45359","layer":2},{"info":"number node, value=9540","layer":4},{"info":"compute unary expreesion, input=9540, 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=-2237726","layer":3},{"info":"number node, value=1698","layer":4},{"info":"number node, value=8309","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=8309, 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=-2237726, right_input=-134, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-4475720","layer":2},{"info":"compute binary expreesion, left_input=45359, right_input=-4475720, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":1},{"info":"compute unary expreesion, input=-260, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=780","layer":0}],"base":4,"result_base":4,"text":"⊖(⪩⨒∯113102⨫⇇↔⪩⨒∯230213)≁(⪩⨒∯100031∈)∳⫺((⇜⊴⪩⨒∯2111010)⨸⪁⪩⨒∯122202↓⪩⨒∯2001311)=⪩⨒∯30030","reverse_text":"⪩⨒∯30030=⊖(⪩⨒∯113102⨫⇇↔⪩⨒∯230213)≁(⪩⨒∯100031∈)∳⫺((⇜⊴⪩⨒∯2111010)⨸⪁⪩⨒∯122202↓⪩⨒∯2001311)","cot":[{"info":"⪩⨒∯113102⨫⇇↔⪩⨒∯230213=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯100031∈=⪩⨒∯212020","layer":3},{"info":"⪩⨒∯-20033≁⪩⨒∯212020=⪩⨒∯23010233","layer":2},{"info":"⇜⊴⪩⨒∯2111010=⪩⨒∯-20202110132","layer":3},{"info":"⪩⨒∯122202↓⪩⨒∯2001311=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯-20202110132⨸⪁⪩⨒∯-2012=⪩⨒∯-101010231020","layer":2},{"info":"⪩⨒∯23010233∳⫺⪩⨒∯-101010231020=⪩⨒∯-10010","layer":1},{"info":"⊖⪩⨒∯-10010=⪩⨒∯30030","layer":0}]}
{"id":614,"expression_no_base_symbol":"($3392$⫞⩸⩒$3424$∙⊟($2226$⪓⨏))⩍⋽⫝̸(⪝⪂⫅($1180$⪕$1373$))∽(⫯(⇺⋃(-$2618$)))","expression":"(⪩⨒∯311000⫞⩸⩒⪩⨒∯311200∙⊟(⪩⨒∯202302⪓⨏))⩍⋽⫝̸(⪝⪂⫅(⪩⨒∯102130⪕⪩⨒∯111131))∽(⫯(⇺⋃(-⪩⨒∯220322)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6183,"operation_count":10,"complexity_ratio":618.3,"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":3392,"base":4},"right_expr":{"type":"numeric_atoms","value":3424,"base":4}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":2226,"base":4}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1180,"base":4},"right_expr":{"type":"numeric_atoms","value":1373,"base":4}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2618,"base":4}}}}},"used_operators":["y4ImoPnbV5","BiWNJpBvwn","SxTAKzQCrw","XGcMNugi78","4X9JU4Jbn6","XTarYq4gQB","umQnsF7QlU","H6BK1Evt7c","E5v5B3UAjG","t8gj7n24qd"],"dependent_operators":["NTOWxs364D","QMFrweE19q","Ph9nP6C5qx","xUOZtlo3hN","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","9HNa5Wba9A","8w2t5hMYqp","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3392","layer":4},{"info":"number node, value=3424","layer":4},{"info":"compute binary expreesion, left_input=3392, right_input=3424, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=3424","layer":3},{"info":"number node, value=2226","layer":4},{"info":"compute unary expreesion, input=2226, 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=3424, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=54358","layer":2},{"info":"number node, value=1180","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=1373, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=1888","layer":3},{"info":"compute unary expreesion, input=1888, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-277536","layer":2},{"info":"compute binary expreesion, left_input=54358, right_input=-277536, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=331421","layer":1},{"info":"number node, value=2618","layer":4},{"info":"compute unary expreesion, input=2618, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2618","layer":3},{"info":"compute unary expreesion, input=-2618, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=331421, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯311000⫞⩸⩒⪩⨒∯311200∙⊟(⪩⨒∯202302⪓⨏))⩍⋽⫝̸(⪝⪂⫅(⪩⨒∯102130⪕⪩⨒∯111131))∽(⫯(⇺⋃(-⪩⨒∯220322)))=NaN","reverse_text":"NaN=(⪩⨒∯311000⫞⩸⩒⪩⨒∯311200∙⊟(⪩⨒∯202302⪓⨏))⩍⋽⫝̸(⪝⪂⫅(⪩⨒∯102130⪕⪩⨒∯111131))∽(⫯(⇺⋃(-⪩⨒∯220322)))","cot":[{"info":"⪩⨒∯311000⫞⩸⩒⪩⨒∯311200=⪩⨒∯311200","layer":3},{"info":"⪩⨒∯202302⪓⨏=NaN","layer":3},{"info":"⪩⨒∯311200∙⊟NaN=⪩⨒∯31101112","layer":2},{"info":"⪩⨒∯102130⪕⪩⨒∯111131=⪩⨒∯131200","layer":3},{"info":"⪝⪂⫅⪩⨒∯131200=⪩⨒∯-1003300200","layer":2},{"info":"⪩⨒∯31101112⩍⋽⫝̸⪩⨒∯-1003300200=⪩⨒∯1100322131","layer":1},{"info":"-⪩⨒∯220322=⪩⨒∯-220322","layer":3},{"info":"⇺⋃⪩⨒∯-220322=NaN","layer":2},{"info":"⫯NaN=NaN","layer":1},{"info":"⪩⨒∯1100322131∽NaN=NaN","layer":0}]}
{"id":615,"expression_no_base_symbol":"⨈⫕(⩰(⊈($1795$⨳⩥⨓$2490$)))","expression":"⨈⫕(⩰(⊈(⪩⨒∯130003⨳⩥⨓⪩⨒∯212322)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":400,"operation_count":4,"complexity_ratio":100.0,"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":1795,"base":4},"right_expr":{"type":"numeric_atoms","value":2490,"base":4}}}}},"used_operators":["megm06wKyl","WkeUrDK8WX","RHru8klgy8","nCS4ZIUYfx"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","12rbrZMWeM","xUOZtlo3hN","W4YGzv6Whe","rysDP5nf3Z"],"result":"⪩⨒∯-111","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1795","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=2490, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=695","layer":3},{"info":"compute unary expreesion, input=695, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-869","layer":2},{"info":"compute unary expreesion, input=-869, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=738","layer":1},{"info":"compute unary expreesion, input=738, 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":4,"result_base":4,"text":"⨈⫕(⩰(⊈(⪩⨒∯130003⨳⩥⨓⪩⨒∯212322)))=⪩⨒∯-111","reverse_text":"⪩⨒∯-111=⨈⫕(⩰(⊈(⪩⨒∯130003⨳⩥⨓⪩⨒∯212322)))","cot":[{"info":"⪩⨒∯130003⨳⩥⨓⪩⨒∯212322=⪩⨒∯22313","layer":3},{"info":"⊈⪩⨒∯22313=⪩⨒∯-31211","layer":2},{"info":"⩰⪩⨒∯-31211=⪩⨒∯23202","layer":1},{"info":"⨈⫕⪩⨒∯23202=⪩⨒∯-111","layer":0}]}
{"id":616,"expression_no_base_symbol":"(($4668$⇄$1367$)⇴$1973$≹⇙⪍$1375$⪭≯(≅≯⇸$2282$≨$1013$))⪍↜⋙(($2493$∙∹∝$4725$)⩺⪪($1995$+$3973$))≚⊃≕($4930$≳⇉$1029$)+⪬∐$6898$∴$4649$","expression":"((⪩⨒∯1020330⇄⪩⨒∯111113)⇴⪩⨒∯132311≹⇙⪍⪩⨒∯111133⪭≯(≅≯⇸⪩⨒∯203222≨⪩⨒∯33311))⪍↜⋙((⪩⨒∯212331∙∹∝⪩⨒∯1021311)⩺⪪(⪩⨒∯133023+⪩⨒∯332011))≚⊃≕(⪩⨒∯1031002≳⇉⪩⨒∯100011)+⪬∐⪩⨒∯1223302∴⪩⨒∯1020221","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22078066,"operation_count":14,"complexity_ratio":1577004.7142857143,"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":4668,"base":4},"right_expr":{"type":"numeric_atoms","value":1367,"base":4}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1973,"base":4},"right_expr":{"type":"numeric_atoms","value":1375,"base":4}}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":2282,"base":4},"right_expr":{"type":"numeric_atoms","value":1013,"base":4}}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2493,"base":4},"right_expr":{"type":"numeric_atoms","value":4725,"base":4}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1995,"base":4},"right_expr":{"type":"numeric_atoms","value":3973,"base":4}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4930,"base":4},"right_expr":{"type":"numeric_atoms","value":1029,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":6898,"base":4},"right_expr":{"type":"numeric_atoms","value":4649,"base":4}}}}},"used_operators":["L05ObWFQCd","XAx5wpdLa6","4JB6nKBMSY","3EYGwJThht","AHs5Up7iyr","apS25hmuAe","0KMCeP1Jsh","Bmrmz2XGnR","uvdQJvN4PV","HmxsFra2vL","W4YGzv6Whe","2GS7woTJqF","V0kx6qeWkN","hrf7POJlIJ"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","dWAJyo7jo9","EBcxylXtPf","QMFrweE19q","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","g55IO6H4Gj","D4vGDi5EA2","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4668","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=4668, right_input=1367, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1973","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=1973, right_input=1375, 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 = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":2},{"info":"number node, value=2282","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=2282, right_input=1013, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-20344","layer":3},{"info":"compute unary expreesion, input=-20344, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=-73699","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-73699, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"info":"number node, value=2493","layer":4},{"info":"number node, value=4725","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=4725, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1995","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=1995, right_input=3973, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5968","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5968, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-106778","layer":2},{"info":"number node, value=4930","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=4930, right_input=1029, 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=6898","layer":4},{"info":"number node, value=4649","layer":4},{"info":"compute binary expreesion, left_input=6898, right_input=4649, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=15444","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15444, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-106778, 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=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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1020330⇄⪩⨒∯111113)⇴⪩⨒∯132311≹⇙⪍⪩⨒∯111133⪭≯(≅≯⇸⪩⨒∯203222≨⪩⨒∯33311))⪍↜⋙((⪩⨒∯212331∙∹∝⪩⨒∯1021311)⩺⪪(⪩⨒∯133023+⪩⨒∯332011))≚⊃≕(⪩⨒∯1031002≳⇉⪩⨒∯100011)+⪬∐⪩⨒∯1223302∴⪩⨒∯1020221=NaN","reverse_text":"NaN=((⪩⨒∯1020330⇄⪩⨒∯111113)⇴⪩⨒∯132311≹⇙⪍⪩⨒∯111133⪭≯(≅≯⇸⪩⨒∯203222≨⪩⨒∯33311))⪍↜⋙((⪩⨒∯212331∙∹∝⪩⨒∯1021311)⩺⪪(⪩⨒∯133023+⪩⨒∯332011))≚⊃≕(⪩⨒∯1031002≳⇉⪩⨒∯100011)+⪬∐⪩⨒∯1223302∴⪩⨒∯1020221","cot":[{"info":"⪩⨒∯1020330⇄⪩⨒∯111113=⪩⨒∯0","layer":3},{"info":"⪩⨒∯132311≹⇙⪍⪩⨒∯111133=NaN","layer":3},{"info":"⪩⨒∯0⇴NaN=NaN","layer":2},{"info":"⪩⨒∯203222≨⪩⨒∯33311=⪩⨒∯-10331320","layer":3},{"info":"≅≯⇸⪩⨒∯-10331320=⪩⨒∯-101333203","layer":2},{"info":"NaN⪭≯⪩⨒∯-101333203=NaN","layer":1},{"info":"⪩⨒∯212331∙∹∝⪩⨒∯1021311=⪩⨒∯0","layer":3},{"info":"⪩⨒∯133023+⪩⨒∯332011=⪩⨒∯1131100","layer":3},{"info":"⪩⨒∯0⩺⪪⪩⨒∯1131100=⪩⨒∯-122010122","layer":2},{"info":"⪩⨒∯1031002≳⇉⪩⨒∯100011=NaN","layer":3},{"info":"⪩⨒∯1223302∴⪩⨒∯1020221=⪩⨒∯3301110","layer":3},{"info":"NaN+⪬∐⪩⨒∯3301110=NaN","layer":2},{"info":"⪩⨒∯-122010122≚⊃≕NaN=NaN","layer":1},{"info":"NaN⪍↜⋙NaN=NaN","layer":0}]}
{"id":617,"expression_no_base_symbol":"($1188$⪭≯$2174$≬⋮($6261$∙∹∝$1504$))⫁(($1290$∽$3494$)⪊≅)⨜⨶((≸≮($2162$↬$1583$))≳⇉(($1131$≚⋢)⪔($1678$⇼⇔∾$6918$)))","expression":"(⪩⨒∯102210⪭≯⪩⨒∯201332≬⋮(⪩⨒∯1201311∙∹∝⪩⨒∯113200))⫁((⪩⨒∯110022∽⪩⨒∯312212)⪊≅)⨜⨶((≸≮(⪩⨒∯201302↬⪩⨒∯120233))≳⇉((⪩⨒∯101223≚⋢)⪔(⪩⨒∯122032⇼⇔∾⪩⨒∯1230012)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6442,"operation_count":13,"complexity_ratio":495.53846153846155,"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":1188,"base":4},"right_expr":{"type":"numeric_atoms","value":2174,"base":4}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":6261,"base":4},"right_expr":{"type":"numeric_atoms","value":1504,"base":4}}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1290,"base":4},"right_expr":{"type":"numeric_atoms","value":3494,"base":4}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2162,"base":4},"right_expr":{"type":"numeric_atoms","value":1583,"base":4}}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":1131,"base":4}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1678,"base":4},"right_expr":{"type":"numeric_atoms","value":6918,"base":4}}}}},"used_operators":["HiPekx5b7W","0ajvFaJAv0","kbkesczE7y","XAx5wpdLa6","HmxsFra2vL","bjFbhXSADs","y4ImoPnbV5","V0kx6qeWkN","AljMvE3RRm","B5M0gjZbta","GjBEYRfMaF","MahUMFw56D","tifHPKVTfV"],"dependent_operators":["N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","NTOWxs364D","QMFrweE19q","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rGHVDoGpnC","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1188","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=2174, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=6261","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=6261, right_input=1504, 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 = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":2},{"info":"number node, value=1290","layer":4},{"info":"number node, value=3494","layer":4},{"info":"compute binary expreesion, left_input=1290, right_input=3494, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-16754","layer":3},{"info":"compute unary expreesion, input=-16754, 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=868, right_input=0, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":1},{"info":"number node, value=2162","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=1583, 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 = 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=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"number node, value=1678","layer":4},{"info":"number node, value=6918","layer":4},{"info":"compute binary expreesion, left_input=1678, right_input=6918, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5240","layer":3},{"info":"compute binary expreesion, left_input=-89, right_input=5240, 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=nan, right_input=450, 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=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":0}],"base":4,"result_base":4,"text":"(⪩⨒∯102210⪭≯⪩⨒∯201332≬⋮(⪩⨒∯1201311∙∹∝⪩⨒∯113200))⫁((⪩⨒∯110022∽⪩⨒∯312212)⪊≅)⨜⨶((≸≮(⪩⨒∯201302↬⪩⨒∯120233))≳⇉((⪩⨒∯101223≚⋢)⪔(⪩⨒∯122032⇼⇔∾⪩⨒∯1230012)))=NaN","reverse_text":"NaN=(⪩⨒∯102210⪭≯⪩⨒∯201332≬⋮(⪩⨒∯1201311∙∹∝⪩⨒∯113200))⫁((⪩⨒∯110022∽⪩⨒∯312212)⪊≅)⨜⨶((≸≮(⪩⨒∯201302↬⪩⨒∯120233))≳⇉((⪩⨒∯101223≚⋢)⪔(⪩⨒∯122032⇼⇔∾⪩⨒∯1230012)))","cot":[{"info":"⪩⨒∯102210⪭≯⪩⨒∯201332=NaN","layer":3},{"info":"⪩⨒∯1201311∙∹∝⪩⨒∯113200=⪩⨒∯0","layer":3},{"info":"NaN≬⋮⪩⨒∯0=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯110022∽⪩⨒∯312212=⪩⨒∯-10011302","layer":3},{"info":"⪩⨒∯-10011302⪊≅=⪩⨒∯0","layer":2},{"info":"⪩⨒∯31210⫁⪩⨒∯0=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯201302↬⪩⨒∯120233=NaN","layer":3},{"info":"≸≮NaN=NaN","layer":2},{"info":"⪩⨒∯101223≚⋢=⪩⨒∯-1121","layer":3},{"info":"⪩⨒∯122032⇼⇔∾⪩⨒∯1230012=⪩⨒∯1101320","layer":3},{"info":"⪩⨒∯-1121⪔⪩⨒∯1101320=⪩⨒∯13002","layer":2},{"info":"NaN≳⇉⪩⨒∯13002=NaN","layer":1},{"info":"⪩⨒∯2200⨜⨶NaN=NaN","layer":0}]}
{"id":618,"expression_no_base_symbol":"(($3245$↸$2465$)∠⫱($1193$⫑))⨥⫆(($3203$⪡$1039$)⊢$3500$⋹⋡⊁$1005$)⫚↹⊑$2459$⩦$1639$∋($3224$↱$1879$)↙$1393$⊉↱≁$1586$⨟⋌⩍($1566$⫦⪉$3415$)","expression":"((⪩⨒∯302231↸⪩⨒∯212201)∠⫱(⪩⨒∯102221⫑))⨥⫆((⪩⨒∯302003⪡⪩⨒∯100033)⊢⪩⨒∯312230⋹⋡⊁⪩⨒∯33231)⫚↹⊑⪩⨒∯212123⩦⪩⨒∯121213∋(⪩⨒∯302120↱⪩⨒∯131113)↙⪩⨒∯111301⊉↱≁⪩⨒∯120302⨟⋌⩍(⪩⨒∯120132⫦⪉⪩⨒∯311113)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":65436,"operation_count":15,"complexity_ratio":4362.4,"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":3245,"base":4},"right_expr":{"type":"numeric_atoms","value":2465,"base":4}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"numeric_atoms","value":1193,"base":4}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":3203,"base":4},"right_expr":{"type":"numeric_atoms","value":1039,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3500,"base":4},"right_expr":{"type":"numeric_atoms","value":1005,"base":4}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":2459,"base":4},"right_expr":{"type":"numeric_atoms","value":1639,"base":4}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3224,"base":4},"right_expr":{"type":"numeric_atoms","value":1879,"base":4}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1393,"base":4},"right_expr":{"type":"numeric_atoms","value":1586,"base":4}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1566,"base":4},"right_expr":{"type":"numeric_atoms","value":3415,"base":4}}}}},"used_operators":["dfKe02y8D2","yXekIHxTD4","QvoQhV0rrE","1eCjFl0mb9","CgIo77xlM2","5twsqlHp2o","oraRL2iQuh","As8RqfVLgs","yyfyN0ffXY","ukq6epAj5P","0kmYd0q39Y","SR5kFfdi6N","rGHVDoGpnC","w2P8NbNXyL","wscyQdcy20"],"dependent_operators":["2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","tmPS8pqC7x","DpFCA1CohY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Tcnh7f0tEr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⪩⨒∯-12333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3245","layer":4},{"info":"number node, value=2465","layer":4},{"info":"compute binary expreesion, left_input=3245, right_input=2465, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3245","layer":3},{"info":"number node, value=1193","layer":4},{"info":"compute unary expreesion, input=1193, 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=3245, 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":"number node, value=3203","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=1039, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=107","layer":3},{"info":"number node, value=3500","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=3500, right_input=1005, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1755","layer":3},{"info":"compute binary expreesion, left_input=107, right_input=1755, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-458","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=-458, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":1},{"info":"number node, value=2459","layer":4},{"info":"number node, value=1639","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=1639, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=4918","layer":3},{"info":"number node, value=3224","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=3224, right_input=1879, 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=-5115","layer":3},{"info":"compute binary expreesion, left_input=4918, right_input=-5115, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-74296","layer":2},{"info":"number node, value=1393","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=1586, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=4362","layer":3},{"info":"number node, value=1566","layer":4},{"info":"number node, value=3415","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=3415, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=1768","layer":3},{"info":"compute binary expreesion, left_input=4362, right_input=1768, 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=-74296, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-74296","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-74296, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯302231↸⪩⨒∯212201)∠⫱(⪩⨒∯102221⫑))⨥⫆((⪩⨒∯302003⪡⪩⨒∯100033)⊢⪩⨒∯312230⋹⋡⊁⪩⨒∯33231)⫚↹⊑⪩⨒∯212123⩦⪩⨒∯121213∋(⪩⨒∯302120↱⪩⨒∯131113)↙⪩⨒∯111301⊉↱≁⪩⨒∯120302⨟⋌⩍(⪩⨒∯120132⫦⪉⪩⨒∯311113)=⪩⨒∯-12333","reverse_text":"⪩⨒∯-12333=((⪩⨒∯302231↸⪩⨒∯212201)∠⫱(⪩⨒∯102221⫑))⨥⫆((⪩⨒∯302003⪡⪩⨒∯100033)⊢⪩⨒∯312230⋹⋡⊁⪩⨒∯33231)⫚↹⊑⪩⨒∯212123⩦⪩⨒∯121213∋(⪩⨒∯302120↱⪩⨒∯131113)↙⪩⨒∯111301⊉↱≁⪩⨒∯120302⨟⋌⩍(⪩⨒∯120132⫦⪉⪩⨒∯311113)","cot":[{"info":"⪩⨒∯302231↸⪩⨒∯212201=⪩⨒∯302231","layer":3},{"info":"⪩⨒∯102221⫑=⪩⨒∯332023","layer":3},{"info":"⪩⨒∯302231∠⫱⪩⨒∯332023=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯302003⪡⪩⨒∯100033=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯312230⋹⋡⊁⪩⨒∯33231=⪩⨒∯123123","layer":3},{"info":"⪩⨒∯1223⊢⪩⨒∯123123=⪩⨒∯-13022","layer":2},{"info":"⪩⨒∯103102⨥⫆⪩⨒∯-13022=⪩⨒∯0","layer":1},{"info":"⪩⨒∯212123⩦⪩⨒∯121213=⪩⨒∯1030312","layer":3},{"info":"⪩⨒∯302120↱⪩⨒∯131113=⪩⨒∯-1033323","layer":3},{"info":"⪩⨒∯1030312∋⪩⨒∯-1033323=⪩⨒∯-102020320","layer":2},{"info":"⪩⨒∯111301⊉↱≁⪩⨒∯120302=⪩⨒∯1010022","layer":3},{"info":"⪩⨒∯120132⫦⪉⪩⨒∯311113=⪩⨒∯123220","layer":3},{"info":"⪩⨒∯1010022⨟⋌⩍⪩⨒∯123220=NaN","layer":2},{"info":"⪩⨒∯-102020320↙NaN=⪩⨒∯-102020320","layer":1},{"info":"⪩⨒∯0⫚↹⊑⪩⨒∯-102020320=⪩⨒∯-12333","layer":0}]}
{"id":619,"expression_no_base_symbol":"$1163$⩼⇪↪$3158$⫘$1118$⪔⊥$1819$*$1306$⊉↱≁$2071$⪛⫼$1945$≒∊$1870$∪⫐(↓⇌($4483$⩁⩘$3354$))↼⊘⨖$1208$↳∿⪆$1029$⪮%⊝(⨦⪝$1067$)","expression":"⪩⨒∯102023⩼⇪↪⪩⨒∯301112⫘⪩⨒∯101132⪔⊥⪩⨒∯130123*⪩⨒∯110122⊉↱≁⪩⨒∯200113⪛⫼⪩⨒∯132121≒∊⪩⨒∯131032∪⫐(↓⇌(⪩⨒∯1012003⩁⩘⪩⨒∯310122))↼⊘⨖⪩⨒∯102320↳∿⪆⪩⨒∯100011⪮%⊝(⨦⪝⪩⨒∯100223)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":24890,"operation_count":14,"complexity_ratio":1777.857142857143,"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":1163,"base":4},"right_expr":{"type":"numeric_atoms","value":3158,"base":4}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1118,"base":4},"right_expr":{"type":"numeric_atoms","value":1819,"base":4}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":1306,"base":4},"right_expr":{"type":"numeric_atoms","value":2071,"base":4}},"right_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1945,"base":4},"right_expr":{"type":"numeric_atoms","value":1870,"base":4}}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":4483,"base":4},"right_expr":{"type":"numeric_atoms","value":3354,"base":4}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1208,"base":4},"right_expr":{"type":"numeric_atoms","value":1029,"base":4}},"right_expr":{"type":"unary","operator":"⨦⪝","unary_expr":{"type":"numeric_atoms","value":1067,"base":4}}}}},"used_operators":["7YooWSwCyH","9HNa5Wba9A","48vC8HMD2b","ocnLzx9CaJ","HJ9erzHUuu","hyuBjUqXlG","w2P8NbNXyL","5KTvxBwnZo","bPywburJMS","PxpmPgHHJV","gub5Cegaqo","IWmyXbctLI","Cw4SuJJGHO","SUjycxNXIR"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","W4YGzv6Whe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","DpFCA1CohY","IWmyXbctLI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7"],"result":"-Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1163","layer":4},{"info":"number node, value=3158","layer":4},{"info":"compute binary expreesion, left_input=1163, right_input=3158, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-20563","layer":3},{"info":"number node, value=1118","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=1819, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=635","layer":3},{"info":"compute binary expreesion, left_input=-20563, right_input=635, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=24186493","layer":2},{"info":"number node, value=1306","layer":4},{"info":"number node, value=2071","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=2071, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-480","layer":3},{"info":"number node, value=1945","layer":4},{"info":"number node, value=1870","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=1870, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1461","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=-1461, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1489","layer":2},{"info":"compute binary expreesion, left_input=24186493, right_input=-1489, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-inf","layer":1},{"info":"number node, value=4483","layer":4},{"info":"number node, value=3354","layer":4},{"info":"compute binary expreesion, left_input=4483, right_input=3354, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=14364","layer":3},{"info":"compute unary expreesion, input=14364, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=14364","layer":2},{"info":"number node, value=1208","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=1029, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, 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=nan, right_input=-1884, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=14364, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-inf","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯102023⩼⇪↪⪩⨒∯301112⫘⪩⨒∯101132⪔⊥⪩⨒∯130123*⪩⨒∯110122⊉↱≁⪩⨒∯200113⪛⫼⪩⨒∯132121≒∊⪩⨒∯131032∪⫐(↓⇌(⪩⨒∯1012003⩁⩘⪩⨒∯310122))↼⊘⨖⪩⨒∯102320↳∿⪆⪩⨒∯100011⪮%⊝(⨦⪝⪩⨒∯100223)=-Inf","reverse_text":"-Inf=⪩⨒∯102023⩼⇪↪⪩⨒∯301112⫘⪩⨒∯101132⪔⊥⪩⨒∯130123*⪩⨒∯110122⊉↱≁⪩⨒∯200113⪛⫼⪩⨒∯132121≒∊⪩⨒∯131032∪⫐(↓⇌(⪩⨒∯1012003⩁⩘⪩⨒∯310122))↼⊘⨖⪩⨒∯102320↳∿⪆⪩⨒∯100011⪮%⊝(⨦⪝⪩⨒∯100223)","cot":[{"info":"⪩⨒∯102023⩼⇪↪⪩⨒∯301112=⪩⨒∯-11001103","layer":3},{"info":"⪩⨒∯101132⪔⊥⪩⨒∯130123=⪩⨒∯21323","layer":3},{"info":"⪩⨒∯-11001103⫘⪩⨒∯21323=⪩⨒∯1130100321331","layer":2},{"info":"⪩⨒∯110122⊉↱≁⪩⨒∯200113=⪩⨒∯-13200","layer":3},{"info":"⪩⨒∯132121≒∊⪩⨒∯131032=⪩⨒∯-112311","layer":3},{"info":"⪩⨒∯-13200⪛⫼⪩⨒∯-112311=⪩⨒∯-113101","layer":2},{"info":"⪩⨒∯1130100321331*⪩⨒∯-113101=-Inf","layer":1},{"info":"⪩⨒∯1012003⩁⩘⪩⨒∯310122=⪩⨒∯3200130","layer":3},{"info":"↓⇌⪩⨒∯3200130=⪩⨒∯3200130","layer":2},{"info":"⪩⨒∯102320↳∿⪆⪩⨒∯100011=NaN","layer":3},{"info":"⨦⪝⪩⨒∯100223=⪩⨒∯-131130","layer":3},{"info":"NaN⪮%⊝⪩⨒∯-131130=NaN","layer":2},{"info":"⪩⨒∯3200130↼⊘⨖NaN=NaN","layer":1},{"info":"-Inf∪⫐NaN=-Inf","layer":0}]}
{"id":620,"expression_no_base_symbol":"↨(≑⋹($2521$⪛$6087$⇌⫙⪟$2119$⋹⋡⊁$3424$))","expression":"↨(≑⋹(⪩⨒∯213121⪛⪩⨒∯1133013⇌⫙⪟⪩⨒∯201013⋹⋡⊁⪩⨒∯311200))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":66685,"operation_count":5,"complexity_ratio":13337.0,"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":2521,"base":4},"right_expr":{"type":"numeric_atoms","value":6087,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2119,"base":4},"right_expr":{"type":"numeric_atoms","value":3424,"base":4}}}}},"used_operators":["jiX4gk2v2Q","6B9nyZLogK","AFVx7xoS7T","uFcxV4UQCh","As8RqfVLgs"],"dependent_operators":["rGHVDoGpnC","oZj3VtZNQx","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2521","layer":4},{"info":"number node, value=6087","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=6087, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2521","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=3424","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=3424, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=4174","layer":3},{"info":"compute binary expreesion, left_input=2521, right_input=4174, 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 unary expreesion, input=113, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=-766","layer":1},{"info":"compute unary expreesion, input=-766, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=0","layer":0}],"base":4,"result_base":4,"text":"↨(≑⋹(⪩⨒∯213121⪛⪩⨒∯1133013⇌⫙⪟⪩⨒∯201013⋹⋡⊁⪩⨒∯311200))=⪩⨒∯0","reverse_text":"⪩⨒∯0=↨(≑⋹(⪩⨒∯213121⪛⪩⨒∯1133013⇌⫙⪟⪩⨒∯201013⋹⋡⊁⪩⨒∯311200))","cot":[{"info":"⪩⨒∯213121⪛⪩⨒∯1133013=⪩⨒∯213121","layer":3},{"info":"⪩⨒∯201013⋹⋡⊁⪩⨒∯311200=⪩⨒∯1001032","layer":3},{"info":"⪩⨒∯213121⇌⫙⪟⪩⨒∯1001032=⪩⨒∯1301","layer":2},{"info":"≑⋹⪩⨒∯1301=⪩⨒∯-23332","layer":1},{"info":"↨⪩⨒∯-23332=⪩⨒∯0","layer":0}]}
{"id":621,"expression_no_base_symbol":"(⫛⫱⨽($2536$⋛$2990$))⫥∨⫟(($4408$⪄$2809$)≥⨤⩑($1490$⪛⫼$3912$))-(⫎≠⋺($6362$⨜⨶$1036$)⇻⋧≁($4509$↠))","expression":"(⫛⫱⨽(⪩⨒∯213220⋛⪩⨒∯232232))⫥∨⫟((⪩⨒∯1010320⪄⪩⨒∯223321)≥⨤⩑(⪩⨒∯113102⪛⫼⪩⨒∯331020))-(⫎≠⋺(⪩⨒∯1203122⨜⨶⪩⨒∯100030)⇻⋧≁(⪩⨒∯1012131↠))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2284,"operation_count":11,"complexity_ratio":207.63636363636363,"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":2536,"base":4},"right_expr":{"type":"numeric_atoms","value":2990,"base":4}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4408,"base":4},"right_expr":{"type":"numeric_atoms","value":2809,"base":4}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1490,"base":4},"right_expr":{"type":"numeric_atoms","value":3912,"base":4}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6362,"base":4},"right_expr":{"type":"numeric_atoms","value":1036,"base":4}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":4509,"base":4}}}}},"used_operators":["rysDP5nf3Z","KYD54nUTWz","DlLNRPXxWL","YbUVn0Rbpy","gJLn6v0xnP","SUmda5xLS4","hyuBjUqXlG","LYeZOJ0nQG","jCPkEVoL5K","HiPekx5b7W","LBdsKIvxzf"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2536","layer":4},{"info":"number node, value=2990","layer":4},{"info":"compute binary expreesion, left_input=2536, right_input=2990, 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=-109368","layer":3},{"info":"compute unary expreesion, input=-109368, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=4408","layer":4},{"info":"number node, value=2809","layer":4},{"info":"compute binary expreesion, left_input=4408, right_input=2809, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-659709","layer":3},{"info":"number node, value=1490","layer":4},{"info":"number node, value=3912","layer":4},{"info":"compute binary expreesion, left_input=1490, right_input=3912, 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=-659709, right_input=968, 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=0, right_input=1234, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6362","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=6362, right_input=1036, 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=-1816","layer":3},{"info":"number node, value=4509","layer":4},{"info":"compute unary expreesion, input=4509, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-1816, right_input=-447, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-709, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⫛⫱⨽(⪩⨒∯213220⋛⪩⨒∯232232))⫥∨⫟((⪩⨒∯1010320⪄⪩⨒∯223321)≥⨤⩑(⪩⨒∯113102⪛⫼⪩⨒∯331020))-(⫎≠⋺(⪩⨒∯1203122⨜⨶⪩⨒∯100030)⇻⋧≁(⪩⨒∯1012131↠))=NaN","reverse_text":"NaN=(⫛⫱⨽(⪩⨒∯213220⋛⪩⨒∯232232))⫥∨⫟((⪩⨒∯1010320⪄⪩⨒∯223321)≥⨤⩑(⪩⨒∯113102⪛⫼⪩⨒∯331020))-(⫎≠⋺(⪩⨒∯1203122⨜⨶⪩⨒∯100030)⇻⋧≁(⪩⨒∯1012131↠))","cot":[{"info":"⪩⨒∯213220⋛⪩⨒∯232232=⪩⨒∯-122230320","layer":3},{"info":"⫛⫱⨽⪩⨒∯-122230320=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1010320⪄⪩⨒∯223321=⪩⨒∯-2201003331","layer":3},{"info":"⪩⨒∯113102⪛⫼⪩⨒∯331020=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯-2201003331≥⨤⩑⪩⨒∯33020=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯0⫥∨⫟⪩⨒∯103102=NaN","layer":1},{"info":"⪩⨒∯1203122⨜⨶⪩⨒∯100030=⪩⨒∯-130120","layer":3},{"info":"⪩⨒∯1012131↠=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯-130120⇻⋧≁⪩⨒∯-12333=⪩⨒∯0","layer":2},{"info":"⫎≠⋺⪩⨒∯0=⪩⨒∯-23011","layer":1},{"info":"NaN-⪩⨒∯-23011=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"($3809$∓⋝$1931$)≝⊿$3713$⋹⋡⊁$1183$⩁⩘($1054$⨚$2426$⋅⇍$1525$↳≱$3274$)⨵⪆(($2414$⫁$2030$↼⊘⨖($1283$≳⇉$2945$))⪚⩙≫)","expression":"(⪩⨒∯323201∓⋝⪩⨒∯132023)≝⊿⪩⨒∯322001⋹⋡⊁⪩⨒∯102133⩁⩘(⪩⨒∯100132⨚⪩⨒∯211322⋅⇍⪩⨒∯113311↳≱⪩⨒∯303022)⨵⪆((⪩⨒∯211232⫁⪩⨒∯133232↼⊘⨖(⪩⨒∯110003≳⇉⪩⨒∯232001))⪚⩙≫)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":147772738,"operation_count":12,"complexity_ratio":12314394.833333334,"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":3809,"base":4},"right_expr":{"type":"numeric_atoms","value":1931,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3713,"base":4},"right_expr":{"type":"numeric_atoms","value":1183,"base":4}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1054,"base":4},"right_expr":{"type":"numeric_atoms","value":2426,"base":4}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1525,"base":4},"right_expr":{"type":"numeric_atoms","value":3274,"base":4}}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2414,"base":4},"right_expr":{"type":"numeric_atoms","value":2030,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1283,"base":4},"right_expr":{"type":"numeric_atoms","value":2945,"base":4}}}}},"used_operators":["2DQ55sFlQl","gub5Cegaqo","OKKcZfAt5B","PoHhknlbAi","As8RqfVLgs","AdZkA7nFnk","nREPSIbpBE","JwTKLfZU96","4n53wtyJvv","bPywburJMS","0ajvFaJAv0","V0kx6qeWkN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DpFCA1CohY","IWmyXbctLI","12rbrZMWeM","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","BjRHVeLaeN","12rbrZMWeM","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","cHh1gJQ2o6","AHs5Up7iyr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3809","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=3809, right_input=1931, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3713","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=3713, right_input=1183, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1933","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=1933, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-4466","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=2426, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-6662","layer":3},{"info":"number node, value=1525","layer":4},{"info":"number node, value=3274","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=3274, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6662, right_input=0, 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=-4466, right_input=-22, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=860","layer":1},{"info":"number node, value=2414","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=2414, right_input=2030, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1283","layer":4},{"info":"number node, value=2945","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=2945, 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=160, right_input=nan, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=860, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯323201∓⋝⪩⨒∯132023)≝⊿⪩⨒∯322001⋹⋡⊁⪩⨒∯102133⩁⩘(⪩⨒∯100132⨚⪩⨒∯211322⋅⇍⪩⨒∯113311↳≱⪩⨒∯303022)⨵⪆((⪩⨒∯211232⫁⪩⨒∯133232↼⊘⨖(⪩⨒∯110003≳⇉⪩⨒∯232001))⪚⩙≫)=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(⪩⨒∯323201∓⋝⪩⨒∯132023)≝⊿⪩⨒∯322001⋹⋡⊁⪩⨒∯102133⩁⩘(⪩⨒∯100132⨚⪩⨒∯211322⋅⇍⪩⨒∯113311↳≱⪩⨒∯303022)⨵⪆((⪩⨒∯211232⫁⪩⨒∯133232↼⊘⨖(⪩⨒∯110003≳⇉⪩⨒∯232001))⪚⩙≫)","cot":[{"info":"⪩⨒∯323201∓⋝⪩⨒∯132023=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯322001⋹⋡⊁⪩⨒∯102133=⪩⨒∯132031","layer":3},{"info":"⪩⨒∯1003≝⊿⪩⨒∯132031=⪩⨒∯-1011302","layer":2},{"info":"⪩⨒∯100132⨚⪩⨒∯211322=⪩⨒∯-1220012","layer":3},{"info":"⪩⨒∯113311↳≱⪩⨒∯303022=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1220012⋅⇍⪩⨒∯0=⪩⨒∯-112","layer":2},{"info":"⪩⨒∯-1011302⩁⩘⪩⨒∯-112=⪩⨒∯31130","layer":1},{"info":"⪩⨒∯211232⫁⪩⨒∯133232=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯110003≳⇉⪩⨒∯232001=NaN","layer":3},{"info":"⪩⨒∯2200↼⊘⨖NaN=NaN","layer":2},{"info":"NaN⪚⩙≫=NaN","layer":1},{"info":"⪩⨒∯31130⨵⪆NaN=⪩⨒∯2200","layer":0}]}
{"id":623,"expression_no_base_symbol":"((∷≠($3384$∝$7404$))⫲≸⪮($1746$⩼⇪↪$1833$⫃⨇$7575$⋹⋡⊁$4476$))⩅⪻⪻","expression":"((∷≠(⪩⨒∯310320∝⪩⨒∯1303230))⫲≸⪮(⪩⨒∯123102⩼⇪↪⪩⨒∯130221⫃⨇⪩⨒∯1312113⋹⋡⊁⪩⨒∯1011330))⩅⪻⪻","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":66089,"operation_count":7,"complexity_ratio":9441.285714285714,"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":3384,"base":4},"right_expr":{"type":"numeric_atoms","value":7404,"base":4}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1746,"base":4},"right_expr":{"type":"numeric_atoms","value":1833,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":7575,"base":4},"right_expr":{"type":"numeric_atoms","value":4476,"base":4}}}}},"used_operators":["kHoXpA7yos","P3lXMJvFrc","QiR2Oyf5Xj","cTDWOvIxvz","09Ly4LVMIf","ocnLzx9CaJ","As8RqfVLgs"],"dependent_operators":["SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","7j4O788W3g","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⪩⨒∯-1322110011","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3384","layer":4},{"info":"number node, value=7404","layer":4},{"info":"compute binary expreesion, left_input=3384, right_input=7404, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3389","layer":3},{"info":"compute unary expreesion, input=3389, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=3389","layer":2},{"info":"number node, value=1746","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=1746, right_input=1833, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-10122","layer":3},{"info":"number node, value=7575","layer":4},{"info":"number node, value=4476","layer":4},{"info":"compute binary expreesion, left_input=7575, right_input=4476, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5226","layer":3},{"info":"compute binary expreesion, left_input=-10122, right_input=5226, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-20936","layer":2},{"info":"compute binary expreesion, left_input=3389, right_input=-20936, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3389","layer":1},{"info":"compute unary expreesion, input=3389, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-500997","layer":0}],"base":4,"result_base":4,"text":"((∷≠(⪩⨒∯310320∝⪩⨒∯1303230))⫲≸⪮(⪩⨒∯123102⩼⇪↪⪩⨒∯130221⫃⨇⪩⨒∯1312113⋹⋡⊁⪩⨒∯1011330))⩅⪻⪻=⪩⨒∯-1322110011","reverse_text":"⪩⨒∯-1322110011=((∷≠(⪩⨒∯310320∝⪩⨒∯1303230))⫲≸⪮(⪩⨒∯123102⩼⇪↪⪩⨒∯130221⫃⨇⪩⨒∯1312113⋹⋡⊁⪩⨒∯1011330))⩅⪻⪻","cot":[{"info":"⪩⨒∯310320∝⪩⨒∯1303230=⪩⨒∯310331","layer":3},{"info":"∷≠⪩⨒∯310331=⪩⨒∯310331","layer":2},{"info":"⪩⨒∯123102⩼⇪↪⪩⨒∯130221=⪩⨒∯-2132022","layer":3},{"info":"⪩⨒∯1312113⋹⋡⊁⪩⨒∯1011330=⪩⨒∯1101222","layer":3},{"info":"⪩⨒∯-2132022⫃⨇⪩⨒∯1101222=⪩⨒∯-11013020","layer":2},{"info":"⪩⨒∯310331⫲≸⪮⪩⨒∯-11013020=⪩⨒∯310331","layer":1},{"info":"⪩⨒∯310331⩅⪻⪻=⪩⨒∯-1322110011","layer":0}]}
{"id":624,"expression_no_base_symbol":"($4003$⇡⇂$4879$⨪↰⇹($1498$⨸⪁$3473$))⪘⫢((≉$1745$)⋻⩜⩜$2248$⊢$2343$)∷(($8786$⪉⨛$9431$)⪶≀⋏($1377$⫔⩽⩺$1109$)⩭)","expression":"(⪩⨒∯332203⇡⇂⪩⨒∯1030033⨪↰⇹(⪩⨒∯113122⨸⪁⪩⨒∯312101))⪘⫢((≉⪩⨒∯123101)⋻⩜⩜⪩⨒∯203020⊢⪩⨒∯210213)∷((⪩⨒∯2021102⪉⨛⪩⨒∯2103113)⪶≀⋏(⪩⨒∯111201⫔⩽⩺⪩⨒∯101111)⩭)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":90787,"operation_count":12,"complexity_ratio":7565.583333333333,"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":4003,"base":4},"right_expr":{"type":"numeric_atoms","value":4879,"base":4}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1498,"base":4},"right_expr":{"type":"numeric_atoms","value":3473,"base":4}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1745,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":2248,"base":4},"right_expr":{"type":"numeric_atoms","value":2343,"base":4}}}},"right_expr":{"type":"unary","operator":"⩭","unary_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":8786,"base":4},"right_expr":{"type":"numeric_atoms","value":9431,"base":4}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1377,"base":4},"right_expr":{"type":"numeric_atoms","value":1109,"base":4}}}}},"used_operators":["D3AQDKkPcf","oacrs7FA3X","tmPS8pqC7x","UMwdvZNt44","g55IO6H4Gj","oDCm7WA9JY","e1ybzncUwg","5twsqlHp2o","yIPP7u6H5x","zR4jO40bMj","EWw2JM7wp4","i9eR4S00cU"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","7j4O788W3g","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","W4YGzv6Whe","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Tw270M8GLb","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4003","layer":4},{"info":"number node, value=4879","layer":4},{"info":"compute binary expreesion, left_input=4003, right_input=4879, 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=1498","layer":4},{"info":"number node, value=3473","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=3473, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9942","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9942, 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":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2276","layer":3},{"info":"number node, value=2248","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=2248, right_input=2343, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4740","layer":3},{"info":"compute binary expreesion, left_input=2276, right_input=-4740, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4552","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4552, 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=8786","layer":4},{"info":"number node, value=9431","layer":4},{"info":"compute binary expreesion, left_input=8786, right_input=9431, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=17142","layer":3},{"info":"number node, value=1377","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=1109, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=17142, 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 unary expreesion, input=nan, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":4,"result_base":4,"text":"(⪩⨒∯332203⇡⇂⪩⨒∯1030033⨪↰⇹(⪩⨒∯113122⨸⪁⪩⨒∯312101))⪘⫢((≉⪩⨒∯123101)⋻⩜⩜⪩⨒∯203020⊢⪩⨒∯210213)∷((⪩⨒∯2021102⪉⨛⪩⨒∯2103113)⪶≀⋏(⪩⨒∯111201⫔⩽⩺⪩⨒∯101111)⩭)=NaN","reverse_text":"NaN=(⪩⨒∯332203⇡⇂⪩⨒∯1030033⨪↰⇹(⪩⨒∯113122⨸⪁⪩⨒∯312101))⪘⫢((≉⪩⨒∯123101)⋻⩜⩜⪩⨒∯203020⊢⪩⨒∯210213)∷((⪩⨒∯2021102⪉⨛⪩⨒∯2103113)⪶≀⋏(⪩⨒∯111201⫔⩽⩺⪩⨒∯101111)⩭)","cot":[{"info":"⪩⨒∯332203⇡⇂⪩⨒∯1030033=NaN","layer":3},{"info":"⪩⨒∯113122⨸⪁⪩⨒∯312101=⪩⨒∯2123112","layer":3},{"info":"NaN⨪↰⇹⪩⨒∯2123112=NaN","layer":2},{"info":"≉⪩⨒∯123101=⪩⨒∯203210","layer":3},{"info":"⪩⨒∯203020⊢⪩⨒∯210213=⪩⨒∯-1022010","layer":3},{"info":"⪩⨒∯203210⋻⩜⩜⪩⨒∯-1022010=⪩⨒∯1013020","layer":2},{"info":"NaN⪘⫢⪩⨒∯1013020=NaN","layer":1},{"info":"⪩⨒∯2021102⪉⨛⪩⨒∯2103113=⪩⨒∯10023312","layer":3},{"info":"⪩⨒∯111201⫔⩽⩺⪩⨒∯101111=NaN","layer":3},{"info":"⪩⨒∯10023312⪶≀⋏NaN=NaN","layer":2},{"info":"NaN⩭=NaN","layer":1},{"info":"NaN∷NaN=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"($2596$∠↢$3106$∠⫱(⨰⫟⨤$2263$))⊋≦⊧($1953$⩺⪪$6364$)⨓($3577$⨎$1721$)⩵∡(⪫⨮⊛($2256$∘$7688$⫉⨲⊜$1002$≦↸$5975$))","expression":"(⪩⨒∯220210∠↢⪩⨒∯300202∠⫱(⨰⫟⨤⪩⨒∯203113))⊋≦⊧(⪩⨒∯132201⩺⪪⪩⨒∯1203130)⨓(⪩⨒∯313321⨎⪩⨒∯122321)⩵∡(⪫⨮⊛(⪩⨒∯203100∘⪩⨒∯1320020⫉⨲⊜⪩⨒∯33222≦↸⪩⨒∯1131113))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":266273,"operation_count":12,"complexity_ratio":22189.416666666668,"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":2596,"base":4},"right_expr":{"type":"numeric_atoms","value":3106,"base":4}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2263,"base":4}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1953,"base":4},"right_expr":{"type":"numeric_atoms","value":6364,"base":4}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3577,"base":4},"right_expr":{"type":"numeric_atoms","value":1721,"base":4}}}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":2256,"base":4},"right_expr":{"type":"numeric_atoms","value":7688,"base":4}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":1002,"base":4},"right_expr":{"type":"numeric_atoms","value":5975,"base":4}}}}},"used_operators":["Y7wcNGrDQJ","oRDoc9rAEX","QvoQhV0rrE","KbjG8mgYpV","Tw270M8GLb","3ViojmjbAp","uvdQJvN4PV","rJVOvQCfKK","w5FWba1tyO","WhqkvtTD3t","Z5m6OM72h2","RygbFNSyEJ"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","eewbuw0ToL","zVYPLywUTj","eH2TOUuTDT","rysDP5nf3Z","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2596","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=2596, right_input=3106, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-52786","layer":3},{"info":"number node, value=2263","layer":4},{"info":"compute unary expreesion, input=2263, 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=-52786, 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=1953","layer":4},{"info":"number node, value=6364","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=6364, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"number node, value=3577","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=1721, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1721","layer":3},{"info":"compute binary expreesion, left_input=-1818, right_input=1721, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1724","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1724, 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=2256","layer":4},{"info":"number node, value=7688","layer":4},{"info":"compute binary expreesion, left_input=2256, right_input=7688, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=4512","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=5975","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=5975, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-13273","layer":3},{"info":"compute binary expreesion, left_input=4512, right_input=-13273, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-13383","layer":2},{"info":"compute unary expreesion, input=-13383, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', 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":4,"result_base":4,"text":"(⪩⨒∯220210∠↢⪩⨒∯300202∠⫱(⨰⫟⨤⪩⨒∯203113))⊋≦⊧(⪩⨒∯132201⩺⪪⪩⨒∯1203130)⨓(⪩⨒∯313321⨎⪩⨒∯122321)⩵∡(⪫⨮⊛(⪩⨒∯203100∘⪩⨒∯1320020⫉⨲⊜⪩⨒∯33222≦↸⪩⨒∯1131113))=NaN","reverse_text":"NaN=(⪩⨒∯220210∠↢⪩⨒∯300202∠⫱(⨰⫟⨤⪩⨒∯203113))⊋≦⊧(⪩⨒∯132201⩺⪪⪩⨒∯1203130)⨓(⪩⨒∯313321⨎⪩⨒∯122321)⩵∡(⪫⨮⊛(⪩⨒∯203100∘⪩⨒∯1320020⫉⨲⊜⪩⨒∯33222≦↸⪩⨒∯1131113))","cot":[{"info":"⪩⨒∯220210∠↢⪩⨒∯300202=⪩⨒∯-30320302","layer":3},{"info":"⨰⫟⨤⪩⨒∯203113=NaN","layer":3},{"info":"⪩⨒∯-30320302∠⫱NaN=NaN","layer":2},{"info":"⪩⨒∯132201⩺⪪⪩⨒∯1203130=⪩⨒∯-130122","layer":3},{"info":"⪩⨒∯313321⨎⪩⨒∯122321=⪩⨒∯122321","layer":3},{"info":"⪩⨒∯-130122⨓⪩⨒∯122321=⪩⨒∯-122330","layer":2},{"info":"NaN⊋≦⊧⪩⨒∯-122330=NaN","layer":1},{"info":"⪩⨒∯203100∘⪩⨒∯1320020=⪩⨒∯1012200","layer":3},{"info":"⪩⨒∯33222≦↸⪩⨒∯1131113=⪩⨒∯-3033121","layer":3},{"info":"⪩⨒∯1012200⫉⨲⊜⪩⨒∯-3033121=⪩⨒∯-3101013","layer":2},{"info":"⪫⨮⊛⪩⨒∯-3101013=NaN","layer":1},{"info":"NaN⩵∡NaN=NaN","layer":0}]}
{"id":626,"expression_no_base_symbol":"(≤/($4893$∷$7124$)⫉⨲⊜$1129$⇡⇂$6681$)⊍","expression":"(≤/(⪩⨒∯1030131∷⪩⨒∯1233110)⫉⨲⊜⪩⨒∯101221⇡⇂⪩⨒∯1220121)⊍","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":36740,"operation_count":5,"complexity_ratio":7348.0,"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":4893,"base":4},"right_expr":{"type":"numeric_atoms","value":7124,"base":4}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1129,"base":4},"right_expr":{"type":"numeric_atoms","value":6681,"base":4}}}}},"used_operators":["3nqY3DE9mg","eLAdDNolq6","WhqkvtTD3t","D3AQDKkPcf","UMwdvZNt44"],"dependent_operators":["8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","rysDP5nf3Z","eewbuw0ToL","zVYPLywUTj","9FxExcQeMw","NTOWxs364D","7j4O788W3g","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1"],"result":"⪩⨒∯-3210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4893","layer":4},{"info":"number node, value=7124","layer":4},{"info":"compute binary expreesion, left_input=4893, right_input=7124, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=7124","layer":3},{"info":"number node, value=1129","layer":4},{"info":"number node, value=6681","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=6681, 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=7124, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":1},{"info":"compute unary expreesion, input=484, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=-228","layer":0}],"base":4,"result_base":4,"text":"(≤/(⪩⨒∯1030131∷⪩⨒∯1233110)⫉⨲⊜⪩⨒∯101221⇡⇂⪩⨒∯1220121)⊍=⪩⨒∯-3210","reverse_text":"⪩⨒∯-3210=(≤/(⪩⨒∯1030131∷⪩⨒∯1233110)⫉⨲⊜⪩⨒∯101221⇡⇂⪩⨒∯1220121)⊍","cot":[{"info":"⪩⨒∯1030131∷⪩⨒∯1233110=⪩⨒∯1233110","layer":3},{"info":"⪩⨒∯101221⇡⇂⪩⨒∯1220121=NaN","layer":3},{"info":"⪩⨒∯1233110⫉⨲⊜NaN=⪩⨒∯0","layer":2},{"info":"≤/⪩⨒∯0=⪩⨒∯13210","layer":1},{"info":"⪩⨒∯13210⊍=⪩⨒∯-3210","layer":0}]}
{"id":627,"expression_no_base_symbol":"($1007$≌$1982$⩣⫁∢(⨂⪏⇭$1690$)+(⊁⨺(↨⩢⫨$5748$)))≁(((⩰$1819$)⨎⋸⪻)⋭≵($6324$⊔$6636$)↢($2095$⋫))","expression":"(⪩⨒∯33233≌⪩⨒∯132332⩣⫁∢(⨂⪏⇭⪩⨒∯122122)+(⊁⨺(↨⩢⫨⪩⨒∯1121310)))≁(((⩰⪩⨒∯130123)⨎⋸⪻)⋭≵(⪩⨒∯1202310⊔⪩⨒∯1213230)↢(⪩⨒∯200233⋫))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4441,"operation_count":13,"complexity_ratio":341.61538461538464,"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":1007,"base":4},"right_expr":{"type":"numeric_atoms","value":1982,"base":4}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":1690,"base":4}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"numeric_atoms","value":5748,"base":4}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":1819,"base":4}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":6324,"base":4},"right_expr":{"type":"numeric_atoms","value":6636,"base":4}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2095,"base":4}}}}},"used_operators":["8N2wDY1A35","W4YGzv6Whe","JDUIKTTSIa","lyWz822IDG","AYdpE9sXAk","PxiHyQbrIp","Z5CJsN7DuW","jBncVCNhdl","Dk5vyLCiGd","WkeUrDK8WX","WR6HLWljOP","E4l6HwMY31","JL8yIekQnl"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","IWmyXbctLI","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1982, 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=1690","layer":4},{"info":"compute unary expreesion, input=1690, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=4091","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4091, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":2},{"info":"number node, value=5748","layer":4},{"info":"compute unary expreesion, input=5748, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = PxiHyQbrIp, unary_op_definition = '⊁⨺a = { (((⨞⊢a)⋷(3↺a))⨵⪆((⪲⇎a)-(≉a))) , if a>5 ; (((a↺a)⨳⩥⨓(⩦⩻⨪a))⨳⩥⨓((a∲⫓a)⫡⨏(≉a))) , else }', output=1845","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1845, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1819","layer":4},{"info":"compute unary expreesion, input=1819, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-2819","layer":3},{"info":"compute unary expreesion, input=-2819, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=-5322","layer":2},{"info":"number node, value=6324","layer":4},{"info":"number node, value=6636","layer":4},{"info":"compute binary expreesion, left_input=6324, right_input=6636, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=43428","layer":3},{"info":"number node, value=2095","layer":4},{"info":"compute unary expreesion, input=2095, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2095","layer":3},{"info":"compute binary expreesion, left_input=43428, right_input=2095, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=42944","layer":2},{"info":"compute binary expreesion, left_input=-5322, right_input=42944, 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 = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯33233≌⪩⨒∯132332⩣⫁∢(⨂⪏⇭⪩⨒∯122122)+(⊁⨺(↨⩢⫨⪩⨒∯1121310)))≁(((⩰⪩⨒∯130123)⨎⋸⪻)⋭≵(⪩⨒∯1202310⊔⪩⨒∯1213230)↢(⪩⨒∯200233⋫))=NaN","reverse_text":"NaN=(⪩⨒∯33233≌⪩⨒∯132332⩣⫁∢(⨂⪏⇭⪩⨒∯122122)+(⊁⨺(↨⩢⫨⪩⨒∯1121310)))≁(((⩰⪩⨒∯130123)⨎⋸⪻)⋭≵(⪩⨒∯1202310⊔⪩⨒∯1213230)↢(⪩⨒∯200233⋫))","cot":[{"info":"⪩⨒∯33233≌⪩⨒∯132332=NaN","layer":3},{"info":"⨂⪏⇭⪩⨒∯122122=⪩⨒∯333323","layer":3},{"info":"NaN⩣⫁∢⪩⨒∯333323=NaN","layer":2},{"info":"↨⩢⫨⪩⨒∯1121310=⪩⨒∯0","layer":3},{"info":"⊁⨺⪩⨒∯0=⪩⨒∯130311","layer":2},{"info":"NaN+⪩⨒∯130311=NaN","layer":1},{"info":"⩰⪩⨒∯130123=⪩⨒∯-230003","layer":3},{"info":"⪩⨒∯-230003⨎⋸⪻=⪩⨒∯-1103022","layer":2},{"info":"⪩⨒∯1202310⊔⪩⨒∯1213230=⪩⨒∯22212210","layer":3},{"info":"⪩⨒∯200233⋫=⪩⨒∯200233","layer":3},{"info":"⪩⨒∯22212210↢⪩⨒∯200233=⪩⨒∯22133000","layer":2},{"info":"⪩⨒∯-1103022⋭≵⪩⨒∯22133000=⪩⨒∯1003","layer":1},{"info":"NaN≁⪩⨒∯1003=NaN","layer":0}]}
{"id":628,"expression_no_base_symbol":"(⇜($4142$⪔⊥$1100$≓∲$3858$≳⇉$7135$))∋($4249$⋥≓≎$1534$⨒($2810$⪨≂$3689$)⫡⨏(↞≼$2152$≁$4895$))","expression":"(⇜(⪩⨒∯1000232⪔⊥⪩⨒∯101030≓∲⪩⨒∯330102≳⇉⪩⨒∯1233133))∋(⪩⨒∯1002121⋥≓≎⪩⨒∯113332⨒(⪩⨒∯223322⪨≂⪩⨒∯321221)⫡⨏(↞≼⪩⨒∯201220≁⪩⨒∯1030133))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15552,"operation_count":11,"complexity_ratio":1413.8181818181818,"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":4142,"base":4},"right_expr":{"type":"numeric_atoms","value":1100,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":3858,"base":4},"right_expr":{"type":"numeric_atoms","value":7135,"base":4}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4249,"base":4},"right_expr":{"type":"numeric_atoms","value":1534,"base":4}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2810,"base":4},"right_expr":{"type":"numeric_atoms","value":3689,"base":4}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2152,"base":4},"right_expr":{"type":"numeric_atoms","value":4895,"base":4}}}}},"used_operators":["ukq6epAj5P","lFBm8KRb8F","s1XTVnmDOJ","HJ9erzHUuu","V0kx6qeWkN","QMFrweE19q","y75s1iXyHd","Qy55tPpLXF","sdazOOVcIp","DE7zCoGJt9","8N2wDY1A35"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","t8gj7n24qd","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4142","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=4142, right_input=1100, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=14169","layer":3},{"info":"number node, value=3858","layer":4},{"info":"number node, value=7135","layer":4},{"info":"compute binary expreesion, left_input=3858, right_input=7135, 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=14169, 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 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":"number node, value=4249","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=1534, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1148","layer":3},{"info":"number node, value=2810","layer":4},{"info":"number node, value=3689","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=3689, 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=-1656","layer":3},{"info":"compute binary expreesion, left_input=-1148, right_input=-1656, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=1","layer":2},{"info":"number node, value=2152","layer":4},{"info":"number node, value=4895","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=4895, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=104279","layer":3},{"info":"compute unary expreesion, input=104279, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=833818","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=833818, 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=1668424","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1668424, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇜(⪩⨒∯1000232⪔⊥⪩⨒∯101030≓∲⪩⨒∯330102≳⇉⪩⨒∯1233133))∋(⪩⨒∯1002121⋥≓≎⪩⨒∯113332⨒(⪩⨒∯223322⪨≂⪩⨒∯321221)⫡⨏(↞≼⪩⨒∯201220≁⪩⨒∯1030133))=NaN","reverse_text":"NaN=(⇜(⪩⨒∯1000232⪔⊥⪩⨒∯101030≓∲⪩⨒∯330102≳⇉⪩⨒∯1233133))∋(⪩⨒∯1002121⋥≓≎⪩⨒∯113332⨒(⪩⨒∯223322⪨≂⪩⨒∯321221)⫡⨏(↞≼⪩⨒∯201220≁⪩⨒∯1030133))","cot":[{"info":"⪩⨒∯1000232⪔⊥⪩⨒∯101030=⪩⨒∯3131121","layer":3},{"info":"⪩⨒∯330102≳⇉⪩⨒∯1233133=NaN","layer":3},{"info":"⪩⨒∯3131121≓∲NaN=NaN","layer":2},{"info":"⇜NaN=NaN","layer":1},{"info":"⪩⨒∯1002121⋥≓≎⪩⨒∯113332=⪩⨒∯-101330","layer":3},{"info":"⪩⨒∯223322⪨≂⪩⨒∯321221=⪩⨒∯-121320","layer":3},{"info":"⪩⨒∯-101330⨒⪩⨒∯-121320=⪩⨒∯1","layer":2},{"info":"⪩⨒∯201220≁⪩⨒∯1030133=⪩⨒∯121131113","layer":3},{"info":"↞≼⪩⨒∯121131113=⪩⨒∯3023210122","layer":2},{"info":"⪩⨒∯1⫡⨏⪩⨒∯3023210122=⪩⨒∯12113111020","layer":1},{"info":"NaN∋⪩⨒∯12113111020=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"($3180$⨿$6539$⋘⨑⨽)∥⊢⊲($3702$≀⫉$7407$)⫗⊷⫓($1758$⪠⩆⊳)⩚⊴⇥(($4725$∺≝⩲$1973$⊪)⫌⩉⩟($1168$⪎⩰)⨽∌($4653$↓$8021$))","expression":"(⪩⨒∯301230⨿⪩⨒∯1212023⋘⨑⨽)∥⊢⊲(⪩⨒∯321312≀⫉⪩⨒∯1303233)⫗⊷⫓(⪩⨒∯123132⪠⩆⊳)⩚⊴⇥((⪩⨒∯1021311∺≝⩲⪩⨒∯132311⊪)⫌⩉⩟(⪩⨒∯102100⪎⩰)⨽∌(⪩⨒∯1020231↓⪩⨒∯1331111))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":202045,"operation_count":13,"complexity_ratio":15541.923076923076,"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":3180,"base":4},"right_expr":{"type":"numeric_atoms","value":6539,"base":4}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3702,"base":4},"right_expr":{"type":"numeric_atoms","value":7407,"base":4}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1758,"base":4}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4725,"base":4},"right_expr":{"type":"numeric_atoms","value":1973,"base":4}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":1168,"base":4}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":4653,"base":4},"right_expr":{"type":"numeric_atoms","value":8021,"base":4}}}}},"used_operators":["NTOWxs364D","v1UQAVDJRr","WmT3o8z6ya","abYXlopdE0","zashukvMKz","oZj3VtZNQx","JLbD19bQDL","XIIwhv8d0m","zVYPLywUTj","KPf6cnQVty","9samAPKr6k","2ufhKmSs5H","Af076pWI7l"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi"],"result":"⪩⨒∯-3031","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3180","layer":4},{"info":"number node, value=6539","layer":4},{"info":"compute binary expreesion, left_input=3180, right_input=6539, 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 = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-812","layer":2},{"info":"number node, value=3702","layer":4},{"info":"number node, value=7407","layer":4},{"info":"compute binary expreesion, left_input=3702, right_input=7407, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=1758","layer":4},{"info":"compute unary expreesion, input=1758, 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=2822, right_input=0, 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=-812, right_input=-134, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=-134","layer":1},{"info":"number node, value=4725","layer":4},{"info":"number node, value=1973","layer":4},{"info":"compute binary expreesion, left_input=4725, right_input=1973, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, 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=1168","layer":4},{"info":"compute unary expreesion, input=1168, 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=4653","layer":4},{"info":"number node, value=8021","layer":4},{"info":"compute binary expreesion, left_input=4653, right_input=8021, 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=-34, right_input=-134, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-134, right_input=218, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-205","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯301230⨿⪩⨒∯1212023⋘⨑⨽)∥⊢⊲(⪩⨒∯321312≀⫉⪩⨒∯1303233)⫗⊷⫓(⪩⨒∯123132⪠⩆⊳)⩚⊴⇥((⪩⨒∯1021311∺≝⩲⪩⨒∯132311⊪)⫌⩉⩟(⪩⨒∯102100⪎⩰)⨽∌(⪩⨒∯1020231↓⪩⨒∯1331111))=⪩⨒∯-3031","reverse_text":"⪩⨒∯-3031=(⪩⨒∯301230⨿⪩⨒∯1212023⋘⨑⨽)∥⊢⊲(⪩⨒∯321312≀⫉⪩⨒∯1303233)⫗⊷⫓(⪩⨒∯123132⪠⩆⊳)⩚⊴⇥((⪩⨒∯1021311∺≝⩲⪩⨒∯132311⊪)⫌⩉⩟(⪩⨒∯102100⪎⩰)⨽∌(⪩⨒∯1020231↓⪩⨒∯1331111))","cot":[{"info":"⪩⨒∯301230⨿⪩⨒∯1212023=⪩⨒∯-10333","layer":3},{"info":"⪩⨒∯-10333⋘⨑⨽=⪩⨒∯-30230","layer":2},{"info":"⪩⨒∯321312≀⫉⪩⨒∯1303233=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯123132⪠⩆⊳=⪩⨒∯0","layer":3},{"info":"⪩⨒∯230012⫗⊷⫓⪩⨒∯0=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯-30230∥⊢⊲⪩⨒∯-2012=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯1021311∺≝⩲⪩⨒∯132311=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2200⊪=⪩⨒∯0","layer":2},{"info":"⪩⨒∯102100⪎⩰=⪩⨒∯-202","layer":3},{"info":"⪩⨒∯1020231↓⪩⨒∯1331111=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯-202⨽∌⪩⨒∯-2012=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⫌⩉⩟⪩⨒∯0=⪩⨒∯3122","layer":1},{"info":"⪩⨒∯-2012⩚⊴⇥⪩⨒∯3122=⪩⨒∯-3031","layer":0}]}
{"id":630,"expression_no_base_symbol":"($2272$⫔⩽⩺$2257$↱$4737$⪬$1758$)⇌⫙⪟((⊖$6646$)⪨⊡($1447$≬⇓$3648$))∕⩚(($3114$⊉≛↸$3601$)⨀⨒)≧⫂∧(⨣⨃⇪$7150$⨜⨶$3596$)","expression":"(⪩⨒∯203200⫔⩽⩺⪩⨒∯203101↱⪩⨒∯1022001⪬⪩⨒∯123132)⇌⫙⪟((⊖⪩⨒∯1213312)⪨⊡(⪩⨒∯112213≬⇓⪩⨒∯321000))∕⩚((⪩⨒∯300222⊉≛↸⪩⨒∯320101)⨀⨒)≧⫂∧(⨣⨃⇪⪩⨒∯1233232⨜⨶⪩⨒∯320030)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":906,"operation_count":13,"complexity_ratio":69.6923076923077,"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":2272,"base":4},"right_expr":{"type":"numeric_atoms","value":2257,"base":4}},"right_expr":{"type":"binary","operator":"⪬","left_expr":{"type":"numeric_atoms","value":4737,"base":4},"right_expr":{"type":"numeric_atoms","value":1758,"base":4}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":6646,"base":4}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1447,"base":4},"right_expr":{"type":"numeric_atoms","value":3648,"base":4}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3114,"base":4},"right_expr":{"type":"numeric_atoms","value":3601,"base":4}}},"right_expr":{"type":"unary","operator":"⨣⨃⇪","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":7150,"base":4},"right_expr":{"type":"numeric_atoms","value":3596,"base":4}}}}},"used_operators":["z9ffQ9n5Zr","AFVx7xoS7T","SR5kFfdi6N","i9eR4S00cU","Ez1Nq5fNfI","kuIXHzHcAH","U6pG0PXrV3","jWTQ2TZYIH","Ph9nP6C5qx","j6NVkjMzuk","DZ8iAZOCBD","AcOhelriW5","HiPekx5b7W"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","Tw270M8GLb","fu6greOZ01","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","t8gj7n24qd","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"⪩⨒∯-1310","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2272","layer":4},{"info":"number node, value=2257","layer":4},{"info":"compute binary expreesion, left_input=2272, right_input=2257, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=4737","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=4737, right_input=1758, 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 = SR5kFfdi6N binary_op_definition= 'a↱b = { ((≸a)⊴((b∊∟⩊b)⨐(a+⪬∐830))) , if (a==35 or (b∀⊥⇻)>46) ; ((≅≯⇸b)→⨶⪴((∡b)⪭(b⨑≵⋬499))) , else }', output=-3180","layer":2},{"info":"number node, value=6646","layer":4},{"info":"compute unary expreesion, input=6646, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"number node, value=1447","layer":4},{"info":"number node, value=3648","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=3648, 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=0, right_input=-22, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=877","layer":2},{"info":"compute binary expreesion, left_input=-3180, right_input=877, 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=3114","layer":4},{"info":"number node, value=3601","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=3601, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6228","layer":3},{"info":"compute unary expreesion, input=6228, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=83924","layer":2},{"info":"number node, value=7150","layer":4},{"info":"number node, value=3596","layer":4},{"info":"compute binary expreesion, left_input=7150, right_input=3596, 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=-6936","layer":3},{"info":"compute unary expreesion, input=-6936, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":2},{"info":"compute binary expreesion, left_input=83924, right_input=1405, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=932","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=932, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-116","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯203200⫔⩽⩺⪩⨒∯203101↱⪩⨒∯1022001⪬⪩⨒∯123132)⇌⫙⪟((⊖⪩⨒∯1213312)⪨⊡(⪩⨒∯112213≬⇓⪩⨒∯321000))∕⩚((⪩⨒∯300222⊉≛↸⪩⨒∯320101)⨀⨒)≧⫂∧(⨣⨃⇪⪩⨒∯1233232⨜⨶⪩⨒∯320030)=⪩⨒∯-1310","reverse_text":"⪩⨒∯-1310=(⪩⨒∯203200⫔⩽⩺⪩⨒∯203101↱⪩⨒∯1022001⪬⪩⨒∯123132)⇌⫙⪟((⊖⪩⨒∯1213312)⪨⊡(⪩⨒∯112213≬⇓⪩⨒∯321000))∕⩚((⪩⨒∯300222⊉≛↸⪩⨒∯320101)⨀⨒)≧⫂∧(⨣⨃⇪⪩⨒∯1233232⨜⨶⪩⨒∯320030)","cot":[{"info":"⪩⨒∯203200⫔⩽⩺⪩⨒∯203101=NaN","layer":3},{"info":"⪩⨒∯1022001⪬⪩⨒∯123132=⪩⨒∯103102","layer":3},{"info":"NaN↱⪩⨒∯103102=⪩⨒∯-301230","layer":2},{"info":"⊖⪩⨒∯1213312=⪩⨒∯0","layer":3},{"info":"⪩⨒∯112213≬⇓⪩⨒∯321000=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯0⪨⊡⪩⨒∯-112=⪩⨒∯31231","layer":2},{"info":"⪩⨒∯-301230⇌⫙⪟⪩⨒∯31231=⪩⨒∯1301","layer":1},{"info":"⪩⨒∯300222⊉≛↸⪩⨒∯320101=⪩⨒∯1201110","layer":3},{"info":"⪩⨒∯1201110⨀⨒=⪩⨒∯110133110","layer":2},{"info":"⪩⨒∯1233232⨜⨶⪩⨒∯320030=⪩⨒∯-1230120","layer":3},{"info":"⨣⨃⇪⪩⨒∯-1230120=⪩⨒∯111331","layer":2},{"info":"⪩⨒∯110133110≧⫂∧⪩⨒∯111331=⪩⨒∯32210","layer":1},{"info":"⪩⨒∯1301∕⩚⪩⨒∯32210=⪩⨒∯-1310","layer":0}]}
{"id":631,"expression_no_base_symbol":"(⫵↿(⇜⊴$4654$))⪟⇏((⇘$1284$)⋝⋈⪟$2824$∌↝$7211$)∲⫓(↣≠⋷(($1060$∽$1075$)⪛⫼($1647$⫡⨏$2194$)))","expression":"(⫵↿(⇜⊴⪩⨒∯1020232))⪟⇏((⇘⪩⨒∯110010)⋝⋈⪟⪩⨒∯230020∌↝⪩⨒∯1300223)∲⫓(↣≠⋷((⪩⨒∯100210∽⪩⨒∯100303)⪛⫼(⪩⨒∯121233⫡⨏⪩⨒∯202102)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":940052,"operation_count":11,"complexity_ratio":85459.27272727272,"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":4654,"base":4}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":1284,"base":4}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2824,"base":4},"right_expr":{"type":"numeric_atoms","value":7211,"base":4}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1060,"base":4},"right_expr":{"type":"numeric_atoms","value":1075,"base":4}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1647,"base":4},"right_expr":{"type":"numeric_atoms","value":2194,"base":4}}}}},"used_operators":["i8ToyICDmI","GODebY97qR","ivGwdmUAux","XwDhCwWbUn","2DDjHMKMc0","MGuIdZPyUC","9Isq31Ruls","Asc51vEJeQ","hyuBjUqXlG","y4ImoPnbV5","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","XhwjNDsVaA","AHs5Up7iyr","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4654","layer":4},{"info":"compute unary expreesion, input=4654, 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=-1084630","layer":3},{"info":"compute unary expreesion, input=-1084630, op_id = ivGwdmUAux, unary_op_definition = '⫵↿a = { ((a⫃⨇256)∽(a∀⇚≩66)) , if (⇨a)>=1 ; (↯⪼(a⨫⇇↔a)) , else }', output=137","layer":2},{"info":"number node, value=1284","layer":4},{"info":"compute unary expreesion, input=1284, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=71422","layer":3},{"info":"number node, value=2824","layer":4},{"info":"number node, value=7211","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=7211, 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=71422, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=71422","layer":2},{"info":"compute binary expreesion, left_input=137, right_input=71422, 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=1060","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=1075, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-8347","layer":3},{"info":"number node, value=1647","layer":4},{"info":"number node, value=2194","layer":4},{"info":"compute binary expreesion, left_input=1647, right_input=2194, 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=13406","layer":3},{"info":"compute binary expreesion, left_input=-8347, right_input=13406, 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 = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⫵↿(⇜⊴⪩⨒∯1020232))⪟⇏((⇘⪩⨒∯110010)⋝⋈⪟⪩⨒∯230020∌↝⪩⨒∯1300223)∲⫓(↣≠⋷((⪩⨒∯100210∽⪩⨒∯100303)⪛⫼(⪩⨒∯121233⫡⨏⪩⨒∯202102)))=NaN","reverse_text":"NaN=(⫵↿(⇜⊴⪩⨒∯1020232))⪟⇏((⇘⪩⨒∯110010)⋝⋈⪟⪩⨒∯230020∌↝⪩⨒∯1300223)∲⫓(↣≠⋷((⪩⨒∯100210∽⪩⨒∯100303)⪛⫼(⪩⨒∯121233⫡⨏⪩⨒∯202102)))","cot":[{"info":"⇜⊴⪩⨒∯1020232=⪩⨒∯-10020303112","layer":3},{"info":"⫵↿⪩⨒∯-10020303112=⪩⨒∯2021","layer":2},{"info":"⇘⪩⨒∯110010=⪩⨒∯101123332","layer":3},{"info":"⪩⨒∯230020∌↝⪩⨒∯1300223=⪩⨒∯0","layer":3},{"info":"⪩⨒∯101123332⋝⋈⪟⪩⨒∯0=⪩⨒∯101123332","layer":2},{"info":"⪩⨒∯2021⪟⇏⪩⨒∯101123332=⪩⨒∯0","layer":1},{"info":"⪩⨒∯100210∽⪩⨒∯100303=⪩⨒∯-2002123","layer":3},{"info":"⪩⨒∯121233⫡⨏⪩⨒∯202102=⪩⨒∯3101132","layer":3},{"info":"⪩⨒∯-2002123⪛⫼⪩⨒∯3101132=⪩⨒∯33020","layer":2},{"info":"↣≠⋷⪩⨒∯33020=NaN","layer":1},{"info":"⪩⨒∯0∲⫓NaN=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"⨵((($5164$⪨⊡$2708$)+⪬∐$1206$⨜⨶$1351$)⨑⩅≇($4850$⪔⊥$1800$⊋≦⊧(≔$3003$)))","expression":"⨵(((⪩⨒∯1100230⪨⊡⪩⨒∯222110)+⪬∐⪩⨒∯102312⨜⨶⪩⨒∯111013)⨑⩅≇(⪩⨒∯1023302⪔⊥⪩⨒∯130020⊋≦⊧(≔⪩⨒∯232323)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":166046,"operation_count":8,"complexity_ratio":20755.75,"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":5164,"base":4},"right_expr":{"type":"numeric_atoms","value":2708,"base":4}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1206,"base":4},"right_expr":{"type":"numeric_atoms","value":1351,"base":4}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4850,"base":4},"right_expr":{"type":"numeric_atoms","value":1800,"base":4}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":3003,"base":4}}}}},"used_operators":["Tl3Y52tvF8","h92wMvzauj","2GS7woTJqF","kuIXHzHcAH","HiPekx5b7W","oRDoc9rAEX","HJ9erzHUuu","8FLs4eVsLt"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","g55IO6H4Gj","D4vGDi5EA2","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk"],"result":"⪩⨒∯230213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5164","layer":4},{"info":"number node, value=2708","layer":4},{"info":"compute binary expreesion, left_input=5164, right_input=2708, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1206","layer":4},{"info":"number node, value=1351","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=1351, 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=-2446","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2446, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":2},{"info":"number node, value=4850","layer":4},{"info":"number node, value=1800","layer":4},{"info":"compute binary expreesion, left_input=4850, right_input=1800, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=15601","layer":3},{"info":"number node, value=3003","layer":4},{"info":"compute unary expreesion, input=3003, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-82790","layer":3},{"info":"compute binary expreesion, left_input=15601, right_input=-82790, 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=165820","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=165820, 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 unary expreesion, input=0, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=2855","layer":0}],"base":4,"result_base":4,"text":"⨵(((⪩⨒∯1100230⪨⊡⪩⨒∯222110)+⪬∐⪩⨒∯102312⨜⨶⪩⨒∯111013)⨑⩅≇(⪩⨒∯1023302⪔⊥⪩⨒∯130020⊋≦⊧(≔⪩⨒∯232323)))=⪩⨒∯230213","reverse_text":"⪩⨒∯230213=⨵(((⪩⨒∯1100230⪨⊡⪩⨒∯222110)+⪬∐⪩⨒∯102312⨜⨶⪩⨒∯111013)⨑⩅≇(⪩⨒∯1023302⪔⊥⪩⨒∯130020⊋≦⊧(≔⪩⨒∯232323)))","cot":[{"info":"⪩⨒∯1100230⪨⊡⪩⨒∯222110=⪩⨒∯0","layer":3},{"info":"⪩⨒∯102312⨜⨶⪩⨒∯111013=⪩⨒∯-212032","layer":3},{"info":"⪩⨒∯0+⪬∐⪩⨒∯-212032=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1023302⪔⊥⪩⨒∯130020=⪩⨒∯3303301","layer":3},{"info":"≔⪩⨒∯232323=⪩⨒∯-110031212","layer":3},{"info":"⪩⨒∯3303301⊋≦⊧⪩⨒∯-110031212=⪩⨒∯220132330","layer":2},{"info":"⪩⨒∯0⨑⩅≇⪩⨒∯220132330=⪩⨒∯0","layer":1},{"info":"⨵⪩⨒∯0=⪩⨒∯230213","layer":0}]}
{"id":633,"expression_no_base_symbol":"(⊥$1107$)⋥⋵⩄($6566$⨚⇆$1255$)≎⊠⪸$2911$⊉↱≁$5166$∇⊂⋱(⫓⪴$2134$)∖(($1070$⋛$2642$)⊱⇼⊻(∤↝$1407$))⨑⩅≇(($1336$⫃⨇$2454$)↢($1054$∇⊂⋱$1847$))","expression":"(⊥⪩⨒∯101103)⋥⋵⩄(⪩⨒∯1212212⨚⇆⪩⨒∯103213)≎⊠⪸⪩⨒∯231133⊉↱≁⪩⨒∯1100232∇⊂⋱(⫓⪴⪩⨒∯201112)∖((⪩⨒∯100232⋛⪩⨒∯221102)⊱⇼⊻(∤↝⪩⨒∯111333))⨑⩅≇((⪩⨒∯110320⫃⨇⪩⨒∯212112)↢(⪩⨒∯100132∇⊂⋱⪩⨒∯130313))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":65314,"operation_count":15,"complexity_ratio":4354.266666666666,"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":1107,"base":4}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":6566,"base":4},"right_expr":{"type":"numeric_atoms","value":1255,"base":4}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2911,"base":4},"right_expr":{"type":"numeric_atoms","value":5166,"base":4}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2134,"base":4}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1070,"base":4},"right_expr":{"type":"numeric_atoms","value":2642,"base":4}},"right_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":1407,"base":4}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1336,"base":4},"right_expr":{"type":"numeric_atoms","value":2454,"base":4}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1054,"base":4},"right_expr":{"type":"numeric_atoms","value":1847,"base":4}}}}},"used_operators":["tXD093vOjl","bJkvcejdHO","7t3wd0Fuz7","Q3PJZHRvZv","lwHaAYXP2r","nhYeJWJD5X","w2P8NbNXyL","eLxqMNBOBk","h92wMvzauj","FyVja0WsTP","YbUVn0Rbpy","3UMq87Qwqg","WR6HLWljOP","09Ly4LVMIf"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","fu6greOZ01","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","9HNa5Wba9A","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1107","layer":4},{"info":"compute unary expreesion, input=1107, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=6566","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=6566, right_input=1255, 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=nan, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"number node, value=2911","layer":4},{"info":"number node, value=5166","layer":4},{"info":"compute binary expreesion, left_input=2911, right_input=5166, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-3000","layer":3},{"info":"number node, value=2134","layer":4},{"info":"compute unary expreesion, input=2134, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4553956","layer":3},{"info":"compute binary expreesion, left_input=-3000, right_input=4553956, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-9107912","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9107912, 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=1070","layer":4},{"info":"number node, value=2642","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=2642, 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=-122562","layer":3},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, 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=1407","layer":3},{"info":"compute binary expreesion, left_input=-122562, right_input=1407, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=490452","layer":2},{"info":"number node, value=1336","layer":4},{"info":"number node, value=2454","layer":4},{"info":"compute binary expreesion, left_input=1336, right_input=2454, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9848","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=1847","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1847, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1562","layer":3},{"info":"compute binary expreesion, left_input=-9848, right_input=1562, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-16572","layer":2},{"info":"compute binary expreesion, left_input=490452, right_input=-16572, 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=-1471356","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-1471356, 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":4,"result_base":4,"text":"(⊥⪩⨒∯101103)⋥⋵⩄(⪩⨒∯1212212⨚⇆⪩⨒∯103213)≎⊠⪸⪩⨒∯231133⊉↱≁⪩⨒∯1100232∇⊂⋱(⫓⪴⪩⨒∯201112)∖((⪩⨒∯100232⋛⪩⨒∯221102)⊱⇼⊻(∤↝⪩⨒∯111333))⨑⩅≇((⪩⨒∯110320⫃⨇⪩⨒∯212112)↢(⪩⨒∯100132∇⊂⋱⪩⨒∯130313))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⊥⪩⨒∯101103)⋥⋵⩄(⪩⨒∯1212212⨚⇆⪩⨒∯103213)≎⊠⪸⪩⨒∯231133⊉↱≁⪩⨒∯1100232∇⊂⋱(⫓⪴⪩⨒∯201112)∖((⪩⨒∯100232⋛⪩⨒∯221102)⊱⇼⊻(∤↝⪩⨒∯111333))⨑⩅≇((⪩⨒∯110320⫃⨇⪩⨒∯212112)↢(⪩⨒∯100132∇⊂⋱⪩⨒∯130313))","cot":[{"info":"⊥⪩⨒∯101103=NaN","layer":3},{"info":"⪩⨒∯1212212⨚⇆⪩⨒∯103213=NaN","layer":3},{"info":"NaN⋥⋵⩄NaN=NaN","layer":2},{"info":"⪩⨒∯231133⊉↱≁⪩⨒∯1100232=⪩⨒∯-232320","layer":3},{"info":"⫓⪴⪩⨒∯201112=⪩⨒∯101113303210","layer":3},{"info":"⪩⨒∯-232320∇⊂⋱⪩⨒∯101113303210=⪩⨒∯-202233213020","layer":2},{"info":"NaN≎⊠⪸⪩⨒∯-202233213020=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯100232⋛⪩⨒∯221102=⪩⨒∯-131323002","layer":3},{"info":"∤↝⪩⨒∯111333=⪩⨒∯111333","layer":3},{"info":"⪩⨒∯-131323002⊱⇼⊻⪩⨒∯111333=⪩⨒∯1313233110","layer":2},{"info":"⪩⨒∯110320⫃⨇⪩⨒∯212112=⪩⨒∯-2121320","layer":3},{"info":"⪩⨒∯100132∇⊂⋱⪩⨒∯130313=⪩⨒∯120122","layer":3},{"info":"⪩⨒∯-2121320↢⪩⨒∯120122=⪩⨒∯-10002330","layer":2},{"info":"⪩⨒∯1313233110⨑⩅≇⪩⨒∯-10002330=⪩⨒∯-11213031330","layer":1},{"info":"⪩⨒∯1003∖⪩⨒∯-11213031330=⪩⨒∯0","layer":0}]}
{"id":634,"expression_no_base_symbol":"⋃(∐⩳⋚(($5041$∲⫓$6202$)⫘(⨴⫝$5492$)))","expression":"⋃(∐⩳⋚((⪩⨒∯1032301∲⫓⪩⨒∯1200322)⫘(⨴⫝⪩⨒∯1111310)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1917,"operation_count":5,"complexity_ratio":383.4,"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":5041,"base":4},"right_expr":{"type":"numeric_atoms","value":6202,"base":4}},"right_expr":{"type":"unary","operator":"⨴⫝","unary_expr":{"type":"numeric_atoms","value":5492,"base":4}}}}},"used_operators":["3mBM5G4a3l","SL6IHkK8vl","48vC8HMD2b","i8ToyICDmI","SVb2v531z1"],"dependent_operators":["g55IO6H4Gj","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5041","layer":4},{"info":"number node, value=6202","layer":4},{"info":"compute binary expreesion, left_input=5041, right_input=6202, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5492","layer":4},{"info":"compute unary expreesion, input=5492, 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 binary expreesion, left_input=0, right_input=2828198, 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 = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷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":4,"result_base":4,"text":"⋃(∐⩳⋚((⪩⨒∯1032301∲⫓⪩⨒∯1200322)⫘(⨴⫝⪩⨒∯1111310)))=NaN","reverse_text":"NaN=⋃(∐⩳⋚((⪩⨒∯1032301∲⫓⪩⨒∯1200322)⫘(⨴⫝⪩⨒∯1111310)))","cot":[{"info":"⪩⨒∯1032301∲⫓⪩⨒∯1200322=⪩⨒∯0","layer":3},{"info":"⨴⫝⪩⨒∯1111310=⪩⨒∯22302132212","layer":3},{"info":"⪩⨒∯0⫘⪩⨒∯22302132212=NaN","layer":2},{"info":"∐⩳⋚NaN=NaN","layer":1},{"info":"⋃NaN=NaN","layer":0}]}
{"id":635,"expression_no_base_symbol":"(∡(($1578$⪘⫢$2433$)≝⊰⇂))⪭≯((⊊≼∋$2936$)∣$1815$⪥$5025$↙$2902$⋛$5953$⋓$5961$≴⪞⇿$1715$)","expression":"(∡((⪩⨒∯120222⪘⫢⪩⨒∯212001)≝⊰⇂))⪭≯((⊊≼∋⪩⨒∯231320)∣⪩⨒∯130113⪥⪩⨒∯1032201↙⪩⨒∯231112⋛⪩⨒∯1131001⋓⪩⨒∯1131021≴⪞⇿⪩⨒∯122303)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10606,"operation_count":11,"complexity_ratio":964.1818181818181,"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":1578,"base":4},"right_expr":{"type":"numeric_atoms","value":2433,"base":4}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":2936,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1815,"base":4},"right_expr":{"type":"numeric_atoms","value":5025,"base":4}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2902,"base":4},"right_expr":{"type":"numeric_atoms","value":5953,"base":4}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5961,"base":4},"right_expr":{"type":"numeric_atoms","value":1715,"base":4}}}}},"used_operators":["XAx5wpdLa6","pRsWfj4Fpp","htSmYCowi5","oacrs7FA3X","yyfyN0ffXY","PPChnnnBFF","FWz7pXsQhA","QbnwKVWMIQ","T2fj7uvVaJ","YbUVn0Rbpy","lvlrscuwVU"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","DlLNRPXxWL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","jCPkEVoL5K","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1578","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=2433, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3032","layer":3},{"info":"compute unary expreesion, input=3032, op_id = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=0","layer":1},{"info":"number node, value=2936","layer":4},{"info":"compute unary expreesion, input=2936, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=5025","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=5025, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=11912","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=11912, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=-447","layer":2},{"info":"number node, value=2902","layer":4},{"info":"number node, value=5953","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=5953, 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=-106074","layer":3},{"info":"number node, value=5961","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=5961, right_input=1715, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=64706922","layer":3},{"info":"compute binary expreesion, left_input=-106074, right_input=64706922, 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=-447, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-447","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(∡((⪩⨒∯120222⪘⫢⪩⨒∯212001)≝⊰⇂))⪭≯((⊊≼∋⪩⨒∯231320)∣⪩⨒∯130113⪥⪩⨒∯1032201↙⪩⨒∯231112⋛⪩⨒∯1131001⋓⪩⨒∯1131021≴⪞⇿⪩⨒∯122303)=NaN","reverse_text":"NaN=(∡((⪩⨒∯120222⪘⫢⪩⨒∯212001)≝⊰⇂))⪭≯((⊊≼∋⪩⨒∯231320)∣⪩⨒∯130113⪥⪩⨒∯1032201↙⪩⨒∯231112⋛⪩⨒∯1131001⋓⪩⨒∯1131021≴⪞⇿⪩⨒∯122303)","cot":[{"info":"⪩⨒∯120222⪘⫢⪩⨒∯212001=⪩⨒∯233120","layer":3},{"info":"⪩⨒∯233120≝⊰⇂=⪩⨒∯0","layer":2},{"info":"∡⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⊊≼∋⪩⨒∯231320=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯130113⪥⪩⨒∯1032201=⪩⨒∯2322020","layer":3},{"info":"⪩⨒∯-12333∣⪩⨒∯2322020=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯231112⋛⪩⨒∯1131001=⪩⨒∯-121321122","layer":3},{"info":"⪩⨒∯1131021≴⪞⇿⪩⨒∯122303=⪩⨒∯3312311211222","layer":3},{"info":"⪩⨒∯-121321122⋓⪩⨒∯3312311211222=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-12333↙⪩⨒∯0=⪩⨒∯-12333","layer":1},{"info":"⪩⨒∯0⪭≯⪩⨒∯-12333=NaN","layer":0}]}
{"id":636,"expression_no_base_symbol":"(($4846$⫌⩉⩟$2581$)∙⊟$3456$⨐⩸⫘$1227$)⫣⪄⊒($1401$↙$1125$⪨≂$5281$⨎$3287$)⩵∡(⇋↷$1816$∺≝⩲$1720$)⩘($5745$⋹⋡⊁$2291$⇴∐$1453$⊱⇼⊻$6634$)","expression":"((⪩⨒∯1023232⫌⩉⩟⪩⨒∯220111)∙⊟⪩⨒∯312000⨐⩸⫘⪩⨒∯103023)⫣⪄⊒(⪩⨒∯111321↙⪩⨒∯101211⪨≂⪩⨒∯1102201⨎⪩⨒∯303113)⩵∡(⇋↷⪩⨒∯130120∺≝⩲⪩⨒∯122320)⩘(⪩⨒∯1121301⋹⋡⊁⪩⨒∯203303⇴∐⪩⨒∯112231⊱⇼⊻⪩⨒∯1213222)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":265075,"operation_count":14,"complexity_ratio":18933.928571428572,"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":4846,"base":4},"right_expr":{"type":"numeric_atoms","value":2581,"base":4}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3456,"base":4},"right_expr":{"type":"numeric_atoms","value":1227,"base":4}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1401,"base":4},"right_expr":{"type":"numeric_atoms","value":1125,"base":4}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5281,"base":4},"right_expr":{"type":"numeric_atoms","value":3287,"base":4}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1816,"base":4},"right_expr":{"type":"numeric_atoms","value":1720,"base":4}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5745,"base":4},"right_expr":{"type":"numeric_atoms","value":2291,"base":4}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1453,"base":4},"right_expr":{"type":"numeric_atoms","value":6634,"base":4}}}}},"used_operators":["Y7wcNGrDQJ","RabNbG55vr","SxTAKzQCrw","XIIwhv8d0m","fu6greOZ01","sdazOOVcIp","yyfyN0ffXY","rJVOvQCfKK","cHh1gJQ2o6","SWo3A1KBJH","KPf6cnQVty","HnzytWxmAO","As8RqfVLgs","FyVja0WsTP"],"dependent_operators":["NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⪩⨒∯-10121","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4846","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=4846, right_input=2581, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3456","layer":4},{"info":"number node, value=1227","layer":4},{"info":"compute binary expreesion, left_input=3456, right_input=1227, 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=-50, right_input=nan, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=22935","layer":2},{"info":"number node, value=1401","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1401, right_input=1125, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3375","layer":3},{"info":"number node, value=5281","layer":4},{"info":"number node, value=3287","layer":4},{"info":"compute binary expreesion, left_input=5281, right_input=3287, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3287","layer":3},{"info":"compute binary expreesion, left_input=-3375, right_input=3287, 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=-13222","layer":2},{"info":"compute binary expreesion, left_input=22935, right_input=-13222, 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=1816","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=1816, right_input=1720, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=1280","layer":2},{"info":"number node, value=5745","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=5745, right_input=2291, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3041","layer":3},{"info":"number node, value=1453","layer":4},{"info":"number node, value=6634","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=6634, 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=3041, right_input=434, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1280, 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=160, right_input=160, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-281","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1023232⫌⩉⩟⪩⨒∯220111)∙⊟⪩⨒∯312000⨐⩸⫘⪩⨒∯103023)⫣⪄⊒(⪩⨒∯111321↙⪩⨒∯101211⪨≂⪩⨒∯1102201⨎⪩⨒∯303113)⩵∡(⇋↷⪩⨒∯130120∺≝⩲⪩⨒∯122320)⩘(⪩⨒∯1121301⋹⋡⊁⪩⨒∯203303⇴∐⪩⨒∯112231⊱⇼⊻⪩⨒∯1213222)=⪩⨒∯-10121","reverse_text":"⪩⨒∯-10121=((⪩⨒∯1023232⫌⩉⩟⪩⨒∯220111)∙⊟⪩⨒∯312000⨐⩸⫘⪩⨒∯103023)⫣⪄⊒(⪩⨒∯111321↙⪩⨒∯101211⪨≂⪩⨒∯1102201⨎⪩⨒∯303113)⩵∡(⇋↷⪩⨒∯130120∺≝⩲⪩⨒∯122320)⩘(⪩⨒∯1121301⋹⋡⊁⪩⨒∯203303⇴∐⪩⨒∯112231⊱⇼⊻⪩⨒∯1213222)","cot":[{"info":"⪩⨒∯1023232⫌⩉⩟⪩⨒∯220111=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯312000⨐⩸⫘⪩⨒∯103023=NaN","layer":3},{"info":"⪩⨒∯-302∙⊟NaN=⪩⨒∯11212113","layer":2},{"info":"⪩⨒∯111321↙⪩⨒∯101211=⪩⨒∯-310233","layer":3},{"info":"⪩⨒∯1102201⨎⪩⨒∯303113=⪩⨒∯303113","layer":3},{"info":"⪩⨒∯-310233⪨≂⪩⨒∯303113=⪩⨒∯-3032212","layer":2},{"info":"⪩⨒∯11212113⫣⪄⊒⪩⨒∯-3032212=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯130120∺≝⩲⪩⨒∯122320=⪩⨒∯2200","layer":3},{"info":"⇋↷⪩⨒∯2200=⪩⨒∯110000","layer":2},{"info":"⪩⨒∯1121301⋹⋡⊁⪩⨒∯203303=⪩⨒∯233201","layer":3},{"info":"⪩⨒∯112231⊱⇼⊻⪩⨒∯1213222=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯233201⇴∐⪩⨒∯12302=NaN","layer":2},{"info":"⪩⨒∯110000⩘NaN=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯2200⩵∡⪩⨒∯2200=⪩⨒∯-10121","layer":0}]}
{"id":637,"expression_no_base_symbol":"(⊗($3007$↹⊜$3222$⨫⇇↔$1840$⨸$1359$))⨽∌((($6420$⪇≇⋚$6152$)⇩)⇄(($1114$⩵∡$2378$)⇚⪠))","expression":"(⊗(⪩⨒∯232333↹⊜⪩⨒∯302112⨫⇇↔⪩⨒∯130300⨸⪩⨒∯111033))⨽∌(((⪩⨒∯1210110⪇≇⋚⪩⨒∯1200020)⇩)⇄((⪩⨒∯101122⩵∡⪩⨒∯211022)⇚⪠))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2219,"operation_count":10,"complexity_ratio":221.9,"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":3007,"base":4},"right_expr":{"type":"numeric_atoms","value":3222,"base":4}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1840,"base":4},"right_expr":{"type":"numeric_atoms","value":1359,"base":4}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":6420,"base":4},"right_expr":{"type":"numeric_atoms","value":6152,"base":4}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1114,"base":4},"right_expr":{"type":"numeric_atoms","value":2378,"base":4}}}}},"used_operators":["9samAPKr6k","RhiyfpczSx","LXhwmt4mBO","9bazX3JMtO","KmoU8R5UQR","3EYGwJThht","vRio1gEz1j","3sJ7IOPOlU","Loh9y4A90B","Y7wcNGrDQJ"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3007","layer":4},{"info":"number node, value=3222","layer":4},{"info":"compute binary expreesion, left_input=3007, right_input=3222, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-6970","layer":3},{"info":"number node, value=1840","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=1359, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3680","layer":3},{"info":"compute binary expreesion, left_input=-6970, right_input=3680, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=1054","layer":1},{"info":"number node, value=6420","layer":4},{"info":"number node, value=6152","layer":4},{"info":"compute binary expreesion, left_input=6420, right_input=6152, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=93","layer":2},{"info":"number node, value=1114","layer":4},{"info":"number node, value=2378","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=2378, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=29","layer":3},{"info":"compute unary expreesion, input=29, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=10179","layer":2},{"info":"compute binary expreesion, left_input=93, right_input=10179, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=-9695","layer":1},{"info":"compute binary expreesion, left_input=1054, right_input=-9695, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":4,"result_base":4,"text":"(⊗(⪩⨒∯232333↹⊜⪩⨒∯302112⨫⇇↔⪩⨒∯130300⨸⪩⨒∯111033))⨽∌(((⪩⨒∯1210110⪇≇⋚⪩⨒∯1200020)⇩)⇄((⪩⨒∯101122⩵∡⪩⨒∯211022)⇚⪠))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⊗(⪩⨒∯232333↹⊜⪩⨒∯302112⨫⇇↔⪩⨒∯130300⨸⪩⨒∯111033))⨽∌(((⪩⨒∯1210110⪇≇⋚⪩⨒∯1200020)⇩)⇄((⪩⨒∯101122⩵∡⪩⨒∯211022)⇚⪠))","cot":[{"info":"⪩⨒∯232333↹⊜⪩⨒∯302112=⪩⨒∯-1230322","layer":3},{"info":"⪩⨒∯130300⨸⪩⨒∯111033=⪩⨒∯321200","layer":3},{"info":"⪩⨒∯-1230322⨫⇇↔⪩⨒∯321200=⪩⨒∯-20033","layer":2},{"info":"⊗⪩⨒∯-20033=⪩⨒∯100132","layer":1},{"info":"⪩⨒∯1210110⪇≇⋚⪩⨒∯1200020=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⇩=⪩⨒∯1131","layer":2},{"info":"⪩⨒∯101122⩵∡⪩⨒∯211022=⪩⨒∯131","layer":3},{"info":"⪩⨒∯131⇚⪠=⪩⨒∯2133003","layer":2},{"info":"⪩⨒∯1131⇄⪩⨒∯2133003=⪩⨒∯-2113133","layer":1},{"info":"⪩⨒∯100132⨽∌⪩⨒∯-2113133=⪩⨒∯0","layer":0}]}
{"id":638,"expression_no_base_symbol":"(($2865$⊍⩺⋍$3556$)⫠↝⫳)⇂≾⫗($2821$⩼⇪↪$2797$⨔≚≋$6282$⩣⫁∢$1223$)⪣⫩","expression":"((⪩⨒∯230301⊍⩺⋍⪩⨒∯313210)⫠↝⫳)⇂≾⫗(⪩⨒∯230011⩼⇪↪⪩⨒∯223231⨔≚≋⪩⨒∯1202022⩣⫁∢⪩⨒∯103013)⪣⫩","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":352,"operation_count":7,"complexity_ratio":50.285714285714285,"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":2865,"base":4},"right_expr":{"type":"numeric_atoms","value":3556,"base":4}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":2821,"base":4},"right_expr":{"type":"numeric_atoms","value":2797,"base":4}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6282,"base":4},"right_expr":{"type":"numeric_atoms","value":1223,"base":4}}}}},"used_operators":["iuk5sVOGFA","aBQ6xLxuTc","8n5YIzOsVS","OXDGMFPWZM","Z57zeUYC9z","ocnLzx9CaJ","JDUIKTTSIa"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⪩⨒∯32101","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2865","layer":4},{"info":"number node, value=3556","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=3556, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":2},{"info":"number node, value=2821","layer":4},{"info":"number node, value=2797","layer":4},{"info":"compute binary expreesion, left_input=2821, right_input=2797, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-14720","layer":3},{"info":"number node, value=6282","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=6282, right_input=1223, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-12403","layer":3},{"info":"compute binary expreesion, left_input=-14720, right_input=-12403, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=331984","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=331984, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', 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":4,"result_base":4,"text":"((⪩⨒∯230301⊍⩺⋍⪩⨒∯313210)⫠↝⫳)⇂≾⫗(⪩⨒∯230011⩼⇪↪⪩⨒∯223231⨔≚≋⪩⨒∯1202022⩣⫁∢⪩⨒∯103013)⪣⫩=⪩⨒∯32101","reverse_text":"⪩⨒∯32101=((⪩⨒∯230301⊍⩺⋍⪩⨒∯313210)⫠↝⫳)⇂≾⫗(⪩⨒∯230011⩼⇪↪⪩⨒∯223231⨔≚≋⪩⨒∯1202022⩣⫁∢⪩⨒∯103013)⪣⫩","cot":[{"info":"⪩⨒∯230301⊍⩺⋍⪩⨒∯313210=NaN","layer":3},{"info":"NaN⫠↝⫳=NaN","layer":2},{"info":"⪩⨒∯230011⩼⇪↪⪩⨒∯223231=⪩⨒∯-3212000","layer":3},{"info":"⪩⨒∯1202022⩣⫁∢⪩⨒∯103013=⪩⨒∯-3001303","layer":3},{"info":"⪩⨒∯-3212000⨔≚≋⪩⨒∯-3001303=⪩⨒∯1101003100","layer":2},{"info":"NaN⇂≾⫗⪩⨒∯1101003100=NaN","layer":1},{"info":"NaN⪣⫩=⪩⨒∯32101","layer":0}]}
{"id":639,"expression_no_base_symbol":"(⪡⇡≛($8212$⨑⩅≇$1100$))⫁⪎(($1320$⇼⇔∾$6926$)↼⊘⨖($6733$⋓$5236$))⫌⩉⩟(≔($6354$⋣⋖$2764$))⪪(⊆⋠$4913$)⩣⫁∢($2274$⊝⪿⪼$1570$)","expression":"(⪡⇡≛(⪩⨒∯2000110⨑⩅≇⪩⨒∯101030))⫁⪎((⪩⨒∯110220⇼⇔∾⪩⨒∯1230032)↼⊘⨖(⪩⨒∯1221031⋓⪩⨒∯1101310))⫌⩉⩟(≔(⪩⨒∯1203102⋣⋖⪩⨒∯223030))⪪(⊆⋠⪩⨒∯1030301)⩣⫁∢(⪩⨒∯203202⊝⪿⪼⪩⨒∯120202)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":41999,"operation_count":13,"complexity_ratio":3230.6923076923076,"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":8212,"base":4},"right_expr":{"type":"numeric_atoms","value":1100,"base":4}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1320,"base":4},"right_expr":{"type":"numeric_atoms","value":6926,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6733,"base":4},"right_expr":{"type":"numeric_atoms","value":5236,"base":4}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6354,"base":4},"right_expr":{"type":"numeric_atoms","value":2764,"base":4}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":4913,"base":4}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2274,"base":4},"right_expr":{"type":"numeric_atoms","value":1570,"base":4}}}}},"used_operators":["XIIwhv8d0m","xRrnTEsQ6j","qL4PrbW1Dq","h92wMvzauj","bPywburJMS","tifHPKVTfV","T2fj7uvVaJ","xD69zh8xqp","8FLs4eVsLt","J0M6qkBnIM","JDUIKTTSIa","EBhcHTkKd8","3Oe9XWJUTD"],"dependent_operators":["B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","oacrs7FA3X","apS25hmuAe","iuk5sVOGFA","8cLx32lpNA","X99M06cbEe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","FU0Cs4j7VP","JclMnS0uGI","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⪩⨒∯-302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8212","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=8212, right_input=1100, 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=-24636","layer":3},{"info":"compute unary expreesion, input=-24636, op_id = qL4PrbW1Dq, unary_op_definition = '⪡⇡≛a = { (a∌a) , if (a⪘⫢111)>=396 or (≅≯⇸a)!=229 or (a⪣⫩)<228 ; (a≫≃) , else }', output=-24636","layer":2},{"info":"number node, value=1320","layer":4},{"info":"number node, value=6926","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=6926, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5606","layer":3},{"info":"number node, value=6733","layer":4},{"info":"number node, value=5236","layer":4},{"info":"compute binary expreesion, left_input=6733, right_input=5236, 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=5606, right_input=0, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=-222","layer":2},{"info":"compute binary expreesion, left_input=-24636, right_input=-222, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-24414","layer":1},{"info":"number node, value=6354","layer":4},{"info":"number node, value=2764","layer":4},{"info":"compute binary expreesion, left_input=6354, right_input=2764, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6354","layer":3},{"info":"compute unary expreesion, input=6354, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-176618","layer":2},{"info":"number node, value=4913","layer":4},{"info":"compute unary expreesion, input=4913, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=0","layer":3},{"info":"number node, value=2274","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=1570, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=36266","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=36266, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=161","layer":2},{"info":"compute binary expreesion, left_input=-176618, right_input=161, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"compute binary expreesion, left_input=-24414, right_input=-6206, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":0}],"base":4,"result_base":4,"text":"(⪡⇡≛(⪩⨒∯2000110⨑⩅≇⪩⨒∯101030))⫁⪎((⪩⨒∯110220⇼⇔∾⪩⨒∯1230032)↼⊘⨖(⪩⨒∯1221031⋓⪩⨒∯1101310))⫌⩉⩟(≔(⪩⨒∯1203102⋣⋖⪩⨒∯223030))⪪(⊆⋠⪩⨒∯1030301)⩣⫁∢(⪩⨒∯203202⊝⪿⪼⪩⨒∯120202)=⪩⨒∯-302","reverse_text":"⪩⨒∯-302=(⪡⇡≛(⪩⨒∯2000110⨑⩅≇⪩⨒∯101030))⫁⪎((⪩⨒∯110220⇼⇔∾⪩⨒∯1230032)↼⊘⨖(⪩⨒∯1221031⋓⪩⨒∯1101310))⫌⩉⩟(≔(⪩⨒∯1203102⋣⋖⪩⨒∯223030))⪪(⊆⋠⪩⨒∯1030301)⩣⫁∢(⪩⨒∯203202⊝⪿⪼⪩⨒∯120202)","cot":[{"info":"⪩⨒∯2000110⨑⩅≇⪩⨒∯101030=⪩⨒∯-12000330","layer":3},{"info":"⪡⇡≛⪩⨒∯-12000330=⪩⨒∯-12000330","layer":2},{"info":"⪩⨒∯110220⇼⇔∾⪩⨒∯1230032=⪩⨒∯1113212","layer":3},{"info":"⪩⨒∯1221031⋓⪩⨒∯1101310=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1113212↼⊘⨖⪩⨒∯0=⪩⨒∯-3132","layer":2},{"info":"⪩⨒∯-12000330⫁⪎⪩⨒∯-3132=⪩⨒∯-11331132","layer":1},{"info":"⪩⨒∯1203102⋣⋖⪩⨒∯223030=⪩⨒∯1203102","layer":3},{"info":"≔⪩⨒∯1203102=⪩⨒∯-223013222","layer":2},{"info":"⊆⋠⪩⨒∯1030301=⪩⨒∯0","layer":3},{"info":"⪩⨒∯203202⊝⪿⪼⪩⨒∯120202=⪩⨒∯20312222","layer":3},{"info":"⪩⨒∯0⩣⫁∢⪩⨒∯20312222=⪩⨒∯2201","layer":2},{"info":"⪩⨒∯-223013222⪪⪩⨒∯2201=⪩⨒∯-1200332","layer":1},{"info":"⪩⨒∯-11331132⫌⩉⩟⪩⨒∯-1200332=⪩⨒∯-302","layer":0}]}
{"id":640,"expression_no_base_symbol":"(⇜⊴($3977$∕⩚$1789$)∼($1637$⫥∨⫟$2278$))⨵⪆((⨈⫕$2822$)⋻⩜⩜$1231$⫞⩸⩒$1495$)≥⨤⩑(↔$6146$∘$1350$)","expression":"(⇜⊴(⪩⨒∯332021∕⩚⪩⨒∯123331)∼(⪩⨒∯121211⫥∨⫟⪩⨒∯203212))⨵⪆((⨈⫕⪩⨒∯230012)⋻⩜⩜⪩⨒∯103033⫞⩸⩒⪩⨒∯113113)≥⨤⩑(↔⪩⨒∯1200002∘⪩⨒∯111012)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":173119,"operation_count":11,"complexity_ratio":15738.09090909091,"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":3977,"base":4},"right_expr":{"type":"numeric_atoms","value":1789,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1637,"base":4},"right_expr":{"type":"numeric_atoms","value":2278,"base":4}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2822,"base":4}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1231,"base":4},"right_expr":{"type":"numeric_atoms","value":1495,"base":4}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":6146,"base":4},"right_expr":{"type":"numeric_atoms","value":1350,"base":4}}}}},"used_operators":["2DQ55sFlQl","XwDhCwWbUn","DyGG3AbaNP","z9ffQ9n5Zr","KYD54nUTWz","gJLn6v0xnP","oDCm7WA9JY","megm06wKyl","XGcMNugi78","ruOEQAzv1W","Z5m6OM72h2"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","8HhzD0ZcuI","rGHVDoGpnC","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","eH2TOUuTDT","rysDP5nf3Z"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3977","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=3977, right_input=1789, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-3980","layer":3},{"info":"number node, value=1637","layer":4},{"info":"number node, value=2278","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=2278, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3980, 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":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=2822","layer":4},{"info":"compute unary expreesion, input=2822, 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=1231","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=1495, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1495","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1495, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2008","layer":2},{"info":"number node, value=6146","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=6146, right_input=1350, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=12292","layer":3},{"info":"compute unary expreesion, input=12292, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-12019","layer":2},{"info":"compute binary expreesion, left_input=2008, right_input=-12019, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=4016","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4016, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":4,"result_base":4,"text":"(⇜⊴(⪩⨒∯332021∕⩚⪩⨒∯123331)∼(⪩⨒∯121211⫥∨⫟⪩⨒∯203212))⨵⪆((⨈⫕⪩⨒∯230012)⋻⩜⩜⪩⨒∯103033⫞⩸⩒⪩⨒∯113113)≥⨤⩑(↔⪩⨒∯1200002∘⪩⨒∯111012)=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(⇜⊴(⪩⨒∯332021∕⩚⪩⨒∯123331)∼(⪩⨒∯121211⫥∨⫟⪩⨒∯203212))⨵⪆((⨈⫕⪩⨒∯230012)⋻⩜⩜⪩⨒∯103033⫞⩸⩒⪩⨒∯113113)≥⨤⩑(↔⪩⨒∯1200002∘⪩⨒∯111012)","cot":[{"info":"⪩⨒∯332021∕⩚⪩⨒∯123331=⪩⨒∯-332030","layer":3},{"info":"⪩⨒∯121211⫥∨⫟⪩⨒∯203212=NaN","layer":3},{"info":"⪩⨒∯-332030∼NaN=NaN","layer":2},{"info":"⇜⊴NaN=NaN","layer":1},{"info":"⨈⫕⪩⨒∯230012=⪩⨒∯-111","layer":3},{"info":"⪩⨒∯103033⫞⩸⩒⪩⨒∯113113=⪩⨒∯113113","layer":3},{"info":"⪩⨒∯-111⋻⩜⩜⪩⨒∯113113=⪩⨒∯133120","layer":2},{"info":"⪩⨒∯1200002∘⪩⨒∯111012=⪩⨒∯3000010","layer":3},{"info":"↔⪩⨒∯3000010=⪩⨒∯-2323303","layer":2},{"info":"⪩⨒∯133120≥⨤⩑⪩⨒∯-2323303=⪩⨒∯332300","layer":1},{"info":"NaN⨵⪆⪩⨒∯332300=⪩⨒∯2200","layer":0}]}
{"id":641,"expression_no_base_symbol":"($1667$⇼⇔∾$1514$)⨸($6964$∘$4547$)⪭(($1374$⪶≀⋏$1044$)⇷($4284$⊹∫⫚$1991$))⫳≱↱($5548$∙∹∝$1784$⫡⨏$3454$⋅⇍$6067$)⋕⪉⪜(($2154$∴≳≥)≳⇉($1016$⫦⪉$3753$))","expression":"(⪩⨒∯122003⇼⇔∾⪩⨒∯113222)⨸(⪩⨒∯1230310∘⪩⨒∯1013003)⪭((⪩⨒∯111132⪶≀⋏⪩⨒∯100110)⇷(⪩⨒∯1002330⊹∫⫚⪩⨒∯133013))⫳≱↱(⪩⨒∯1112230∙∹∝⪩⨒∯123320⫡⨏⪩⨒∯311332⋅⇍⪩⨒∯1132303)⋕⪉⪜((⪩⨒∯201222∴≳≥)≳⇉(⪩⨒∯33320⫦⪉⪩⨒∯322221))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":102753261,"operation_count":15,"complexity_ratio":6850217.4,"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":1667,"base":4},"right_expr":{"type":"numeric_atoms","value":1514,"base":4}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":6964,"base":4},"right_expr":{"type":"numeric_atoms","value":4547,"base":4}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1374,"base":4},"right_expr":{"type":"numeric_atoms","value":1044,"base":4}},"right_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":4284,"base":4},"right_expr":{"type":"numeric_atoms","value":1991,"base":4}}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5548,"base":4},"right_expr":{"type":"numeric_atoms","value":1784,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":3454,"base":4},"right_expr":{"type":"numeric_atoms","value":6067,"base":4}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":2154,"base":4}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1016,"base":4},"right_expr":{"type":"numeric_atoms","value":3753,"base":4}}}}},"used_operators":["ZvLB05nZmT","j9kHMeSvPp","KmoU8R5UQR","tifHPKVTfV","Z5m6OM72h2","mp7IySMOzn","zR4jO40bMj","uWAJUKEvyW","z6LnFrNh4i","QMFrweE19q","HmxsFra2vL","AdZkA7nFnk","V0kx6qeWkN","a3N2hFLK0J","wscyQdcy20"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","COABgblf1C","xUOZtlo3hN","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"⪩⨒∯-223302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1667","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=1667, right_input=1514, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-153","layer":3},{"info":"number node, value=6964","layer":4},{"info":"number node, value=4547","layer":4},{"info":"compute binary expreesion, left_input=6964, right_input=4547, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=13928","layer":3},{"info":"compute binary expreesion, left_input=-153, right_input=13928, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=306","layer":2},{"info":"number node, value=1374","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=1044, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-6442","layer":3},{"info":"number node, value=4284","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=4284, right_input=1991, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-352","layer":3},{"info":"compute binary expreesion, left_input=-6442, right_input=-352, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=306, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-480","layer":1},{"info":"number node, value=5548","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=5548, right_input=1784, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=3454","layer":4},{"info":"number node, value=6067","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=6067, 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=0, right_input=-22, 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=739","layer":2},{"info":"number node, value=2154","layer":4},{"info":"compute unary expreesion, input=2154, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=8616","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=3753","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=3753, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2868","layer":3},{"info":"compute binary expreesion, left_input=8616, right_input=2868, 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=739, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":1},{"info":"compute binary expreesion, left_input=-480, right_input=204, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-2802","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯122003⇼⇔∾⪩⨒∯113222)⨸(⪩⨒∯1230310∘⪩⨒∯1013003)⪭((⪩⨒∯111132⪶≀⋏⪩⨒∯100110)⇷(⪩⨒∯1002330⊹∫⫚⪩⨒∯133013))⫳≱↱(⪩⨒∯1112230∙∹∝⪩⨒∯123320⫡⨏⪩⨒∯311332⋅⇍⪩⨒∯1132303)⋕⪉⪜((⪩⨒∯201222∴≳≥)≳⇉(⪩⨒∯33320⫦⪉⪩⨒∯322221))=⪩⨒∯-223302","reverse_text":"⪩⨒∯-223302=(⪩⨒∯122003⇼⇔∾⪩⨒∯113222)⨸(⪩⨒∯1230310∘⪩⨒∯1013003)⪭((⪩⨒∯111132⪶≀⋏⪩⨒∯100110)⇷(⪩⨒∯1002330⊹∫⫚⪩⨒∯133013))⫳≱↱(⪩⨒∯1112230∙∹∝⪩⨒∯123320⫡⨏⪩⨒∯311332⋅⇍⪩⨒∯1132303)⋕⪉⪜((⪩⨒∯201222∴≳≥)≳⇉(⪩⨒∯33320⫦⪉⪩⨒∯322221))","cot":[{"info":"⪩⨒∯122003⇼⇔∾⪩⨒∯113222=⪩⨒∯-2121","layer":3},{"info":"⪩⨒∯1230310∘⪩⨒∯1013003=⪩⨒∯3121220","layer":3},{"info":"⪩⨒∯-2121⨸⪩⨒∯3121220=⪩⨒∯10302","layer":2},{"info":"⪩⨒∯111132⪶≀⋏⪩⨒∯100110=⪩⨒∯-1210222","layer":3},{"info":"⪩⨒∯1002330⊹∫⫚⪩⨒∯133013=⪩⨒∯-11200","layer":3},{"info":"⪩⨒∯-1210222⇷⪩⨒∯-11200=NaN","layer":2},{"info":"⪩⨒∯10302⪭NaN=⪩⨒∯-13200","layer":1},{"info":"⪩⨒∯1112230∙∹∝⪩⨒∯123320=⪩⨒∯0","layer":3},{"info":"⪩⨒∯311332⋅⇍⪩⨒∯1132303=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯0⫡⨏⪩⨒∯-112=⪩⨒∯23203","layer":2},{"info":"⪩⨒∯201222∴≳≥=⪩⨒∯2012220","layer":3},{"info":"⪩⨒∯33320⫦⪉⪩⨒∯322221=⪩⨒∯230310","layer":3},{"info":"⪩⨒∯2012220≳⇉⪩⨒∯230310=NaN","layer":2},{"info":"⪩⨒∯23203⋕⪉⪜NaN=⪩⨒∯3030","layer":1},{"info":"⪩⨒∯-13200⫳≱↱⪩⨒∯3030=⪩⨒∯-223302","layer":0}]}
{"id":642,"expression_no_base_symbol":"(($1320$≀⩗∶$1106$)⪭≯($1143$⪒$1975$))∑⇟⊟($4670$⋥⋵⩄$3217$⪛⫼$1350$⩚⊴⇥$3941$)≬⇓(≦∁$1092$⪨⊡$5567$)⊋≦⊧(⩰$1952$⫰⋱$6761$)","expression":"((⪩⨒∯110220≀⩗∶⪩⨒∯101102)⪭≯(⪩⨒∯101313⪒⪩⨒∯132313))∑⇟⊟(⪩⨒∯1020332⋥⋵⩄⪩⨒∯302101⪛⫼⪩⨒∯111012⩚⊴⇥⪩⨒∯331211)≬⇓(≦∁⪩⨒∯101010⪨⊡⪩⨒∯1112333)⊋≦⊧(⩰⪩⨒∯132200⫰⋱⪩⨒∯1221221)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":393,"operation_count":13,"complexity_ratio":30.23076923076923,"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":1320,"base":4},"right_expr":{"type":"numeric_atoms","value":1106,"base":4}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1143,"base":4},"right_expr":{"type":"numeric_atoms","value":1975,"base":4}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":4670,"base":4},"right_expr":{"type":"numeric_atoms","value":3217,"base":4}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1350,"base":4},"right_expr":{"type":"numeric_atoms","value":3941,"base":4}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":1092,"base":4},"right_expr":{"type":"numeric_atoms","value":5567,"base":4}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1952,"base":4},"right_expr":{"type":"numeric_atoms","value":6761,"base":4}}}}},"used_operators":["jWTQ2TZYIH","U7g4x0WXJJ","XAx5wpdLa6","8INZBEW696","f6k1SAg4EE","hyuBjUqXlG","7t3wd0Fuz7","NTOWxs364D","oRDoc9rAEX","9ICcGScMcE","kuIXHzHcAH","WkeUrDK8WX","6o9Blt3TJ6"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"⪩⨒∯-112","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=1106, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=1975","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=1975, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3118","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3118, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=4670","layer":4},{"info":"number node, value=3217","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=3217, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1350","layer":4},{"info":"number node, value=3941","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=3941, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5412","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-5412, op_id = hyuBjUqXlG binary_op_definition= 'a⪛⫼b = { (((↸⊣b)⫡⨏(⊿b))⫸⊐(≦∁(↥a))) , if (a⇟⨁⪰)!=192 ; (((b⊨a)⪛b)⨐((37⪔⊥b)∴(11⫚↹⊑395))) , else }', output=-1033","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1033, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1092","layer":4},{"info":"number node, value=5567","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=5567, 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 = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"number node, value=1952","layer":4},{"info":"number node, value=6761","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=6761, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1919","layer":3},{"info":"compute unary expreesion, input=-1919, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=2838","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=2838, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=192, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-22","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯110220≀⩗∶⪩⨒∯101102)⪭≯(⪩⨒∯101313⪒⪩⨒∯132313))∑⇟⊟(⪩⨒∯1020332⋥⋵⩄⪩⨒∯302101⪛⫼⪩⨒∯111012⩚⊴⇥⪩⨒∯331211)≬⇓(≦∁⪩⨒∯101010⪨⊡⪩⨒∯1112333)⊋≦⊧(⩰⪩⨒∯132200⫰⋱⪩⨒∯1221221)=⪩⨒∯-112","reverse_text":"⪩⨒∯-112=((⪩⨒∯110220≀⩗∶⪩⨒∯101102)⪭≯(⪩⨒∯101313⪒⪩⨒∯132313))∑⇟⊟(⪩⨒∯1020332⋥⋵⩄⪩⨒∯302101⪛⫼⪩⨒∯111012⩚⊴⇥⪩⨒∯331211)≬⇓(≦∁⪩⨒∯101010⪨⊡⪩⨒∯1112333)⊋≦⊧(⩰⪩⨒∯132200⫰⋱⪩⨒∯1221221)","cot":[{"info":"⪩⨒∯110220≀⩗∶⪩⨒∯101102=⪩⨒∯0","layer":3},{"info":"⪩⨒∯101313⪒⪩⨒∯132313=⪩⨒∯-300232","layer":3},{"info":"⪩⨒∯0⪭≯⪩⨒∯-300232=NaN","layer":2},{"info":"⪩⨒∯1020332⋥⋵⩄⪩⨒∯302101=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯111012⩚⊴⇥⪩⨒∯331211=⪩⨒∯-1110210","layer":3},{"info":"⪩⨒∯1301⪛⫼⪩⨒∯-1110210=⪩⨒∯-100021","layer":2},{"info":"NaN∑⇟⊟⪩⨒∯-100021=NaN","layer":1},{"info":"⪩⨒∯101010⪨⊡⪩⨒∯1112333=⪩⨒∯0","layer":3},{"info":"≦∁⪩⨒∯0=⪩⨒∯-11000","layer":2},{"info":"⪩⨒∯132200⫰⋱⪩⨒∯1221221=⪩⨒∯-131333","layer":3},{"info":"⩰⪩⨒∯-131333=⪩⨒∯230112","layer":2},{"info":"⪩⨒∯-11000⊋≦⊧⪩⨒∯230112=⪩⨒∯3000","layer":1},{"info":"NaN≬⇓⪩⨒∯3000=⪩⨒∯-112","layer":0}]}
{"id":643,"expression_no_base_symbol":"((↴⪽⋼($3121$⫔⩽⩺$6273$))⪨⊡((≤/$3388$)⪁$4997$↳∿⪆$1885$))⫉⨲⊜(⩷⨜⫀(⨩∲⋌$2750$))≁↽≥($6000$⋝⋈⪟$5151$⨔≚≋$1915$⪢$1398$)","expression":"((↴⪽⋼(⪩⨒∯300301⫔⩽⩺⪩⨒∯1202001))⪨⊡((≤/⪩⨒∯310330)⪁⪩⨒∯1032011↳∿⪆⪩⨒∯131131))⫉⨲⊜(⩷⨜⫀(⨩∲⋌⪩⨒∯222332))≁↽≥(⪩⨒∯1131300⋝⋈⪟⪩⨒∯1100133⨔≚≋⪩⨒∯131323⪢⪩⨒∯111312)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7722,"operation_count":13,"complexity_ratio":594.0,"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":3121,"base":4},"right_expr":{"type":"numeric_atoms","value":6273,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3388,"base":4}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":4997,"base":4},"right_expr":{"type":"numeric_atoms","value":1885,"base":4}}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"numeric_atoms","value":2750,"base":4}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6000,"base":4},"right_expr":{"type":"numeric_atoms","value":5151,"base":4}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1915,"base":4},"right_expr":{"type":"numeric_atoms","value":1398,"base":4}}}}},"used_operators":["WhqkvtTD3t","kuIXHzHcAH","5TUYCnJO6w","i9eR4S00cU","I7sXao9hZE","eLAdDNolq6","Cw4SuJJGHO","ncHt1X6cMc","CDi0ktkjQ4","aSik1wnThz","Z57zeUYC9z","2DDjHMKMc0","dWAJyo7jo9"],"dependent_operators":["eewbuw0ToL","zVYPLywUTj","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","Tw270M8GLb","fu6greOZ01","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","oWn0xqSxBt","3Oe9XWJUTD","ruOEQAzv1W","nhYeJWJD5X","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3121","layer":4},{"info":"number node, value=6273","layer":4},{"info":"compute binary expreesion, left_input=3121, right_input=6273, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', 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":"number node, value=3388","layer":4},{"info":"compute unary expreesion, input=3388, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2904","layer":3},{"info":"number node, value=4997","layer":4},{"info":"number node, value=1885","layer":4},{"info":"compute binary expreesion, left_input=4997, right_input=1885, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2904, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"number node, value=2750","layer":4},{"info":"compute unary expreesion, input=2750, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-3273","layer":3},{"info":"compute unary expreesion, input=-3273, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"number node, value=6000","layer":4},{"info":"number node, value=5151","layer":4},{"info":"compute binary expreesion, left_input=6000, right_input=5151, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6000","layer":3},{"info":"number node, value=1915","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=1915, right_input=1398, 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=6000, right_input=nan, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-766, 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=nan, right_input=nan, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((↴⪽⋼(⪩⨒∯300301⫔⩽⩺⪩⨒∯1202001))⪨⊡((≤/⪩⨒∯310330)⪁⪩⨒∯1032011↳∿⪆⪩⨒∯131131))⫉⨲⊜(⩷⨜⫀(⨩∲⋌⪩⨒∯222332))≁↽≥(⪩⨒∯1131300⋝⋈⪟⪩⨒∯1100133⨔≚≋⪩⨒∯131323⪢⪩⨒∯111312)=NaN","reverse_text":"NaN=((↴⪽⋼(⪩⨒∯300301⫔⩽⩺⪩⨒∯1202001))⪨⊡((≤/⪩⨒∯310330)⪁⪩⨒∯1032011↳∿⪆⪩⨒∯131131))⫉⨲⊜(⩷⨜⫀(⨩∲⋌⪩⨒∯222332))≁↽≥(⪩⨒∯1131300⋝⋈⪟⪩⨒∯1100133⨔≚≋⪩⨒∯131323⪢⪩⨒∯111312)","cot":[{"info":"⪩⨒∯300301⫔⩽⩺⪩⨒∯1202001=NaN","layer":3},{"info":"↴⪽⋼NaN=NaN","layer":2},{"info":"≤/⪩⨒∯310330=⪩⨒∯-231120","layer":3},{"info":"⪩⨒∯1032011↳∿⪆⪩⨒∯131131=NaN","layer":3},{"info":"⪩⨒∯-231120⪁NaN=NaN","layer":2},{"info":"NaN⪨⊡NaN=NaN","layer":1},{"info":"⨩∲⋌⪩⨒∯222332=⪩⨒∯-303021","layer":3},{"info":"⩷⨜⫀⪩⨒∯-303021=⪩⨒∯-23332","layer":2},{"info":"⪩⨒∯1131300⋝⋈⪟⪩⨒∯1100133=⪩⨒∯1131300","layer":3},{"info":"⪩⨒∯131323⪢⪩⨒∯111312=NaN","layer":3},{"info":"⪩⨒∯1131300⨔≚≋NaN=NaN","layer":2},{"info":"⪩⨒∯-23332≁↽≥NaN=NaN","layer":1},{"info":"NaN⫉⨲⊜NaN=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"(⊢≑≆($8376$∠⫱$6602$)⇡⇂($1189$⪘⨀))⫰⋱(↩⪖($3480$⨭⪣$3725$))⊨($1179$∛$1441$)↞⋁($1328$≬⇓$2153$)","expression":"(⊢≑≆(⪩⨒∯2002320∠⫱⪩⨒∯1213022)⇡⇂(⪩⨒∯102211⪘⨀))⫰⋱(↩⪖(⪩⨒∯312120⨭⪣⪩⨒∯322031))⊨(⪩⨒∯102123∛⪩⨒∯112201)↞⋁(⪩⨒∯110300≬⇓⪩⨒∯201221)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17479,"operation_count":11,"complexity_ratio":1589.0,"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":8376,"base":4},"right_expr":{"type":"numeric_atoms","value":6602,"base":4}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"numeric_atoms","value":1189,"base":4}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3480,"base":4},"right_expr":{"type":"numeric_atoms","value":3725,"base":4}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1179,"base":4},"right_expr":{"type":"numeric_atoms","value":1441,"base":4}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1328,"base":4},"right_expr":{"type":"numeric_atoms","value":2153,"base":4}}}}},"used_operators":["6o9Blt3TJ6","27wFxooxGf","UMwdvZNt44","QvoQhV0rrE","aA7tF3KVD3","vg4gO5BX6G","fG6uBQFnGz","kn8WO9XteQ","RqrPlJkxDo","w2537kitQq","jWTQ2TZYIH"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8376","layer":4},{"info":"number node, value=6602","layer":4},{"info":"compute binary expreesion, left_input=8376, right_input=6602, 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=1189","layer":4},{"info":"compute unary expreesion, input=1189, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-2959","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-2959, 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 = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=nan","layer":1},{"info":"number node, value=3480","layer":4},{"info":"number node, value=3725","layer":4},{"info":"compute binary expreesion, left_input=3480, right_input=3725, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2201","layer":3},{"info":"compute unary expreesion, input=2201, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-16188","layer":2},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1441, 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=1328","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=2153, 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=67, right_input=-22, 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=-16188, 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 = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⊢≑≆(⪩⨒∯2002320∠⫱⪩⨒∯1213022)⇡⇂(⪩⨒∯102211⪘⨀))⫰⋱(↩⪖(⪩⨒∯312120⨭⪣⪩⨒∯322031))⊨(⪩⨒∯102123∛⪩⨒∯112201)↞⋁(⪩⨒∯110300≬⇓⪩⨒∯201221)=NaN","reverse_text":"NaN=(⊢≑≆(⪩⨒∯2002320∠⫱⪩⨒∯1213022)⇡⇂(⪩⨒∯102211⪘⨀))⫰⋱(↩⪖(⪩⨒∯312120⨭⪣⪩⨒∯322031))⊨(⪩⨒∯102123∛⪩⨒∯112201)↞⋁(⪩⨒∯110300≬⇓⪩⨒∯201221)","cot":[{"info":"⪩⨒∯2002320∠⫱⪩⨒∯1213022=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯102211⪘⨀=⪩⨒∯-232033","layer":3},{"info":"⪩⨒∯103102⇡⇂⪩⨒∯-232033=NaN","layer":2},{"info":"⊢≑≆NaN=NaN","layer":1},{"info":"⪩⨒∯312120⨭⪣⪩⨒∯322031=⪩⨒∯202121","layer":3},{"info":"↩⪖⪩⨒∯202121=⪩⨒∯-3330330","layer":2},{"info":"⪩⨒∯102123∛⪩⨒∯112201=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯110300≬⇓⪩⨒∯201221=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯1003↞⋁⪩⨒∯-112=NaN","layer":2},{"info":"⪩⨒∯-3330330⊨NaN=NaN","layer":1},{"info":"NaN⫰⋱NaN=NaN","layer":0}]}
{"id":645,"expression_no_base_symbol":"(($2771$⇚⪠)⋹⋡⊁($2890$↳≱$5201$)≄⊠((⪲⇎$4637$)⇌⫙⪟($4660$↙$8125$)))↳≱(($1221$∥⊢⊲$1634$)⨐($3191$⪭$6902$)⇍⊗(⨵≀≌$1942$⋣⋖$2597$))","expression":"((⪩⨒∯223103⇚⪠)⋹⋡⊁(⪩⨒∯231022↳≱⪩⨒∯1101101)≄⊠((⪲⇎⪩⨒∯1020131)⇌⫙⪟(⪩⨒∯1020310↙⪩⨒∯1332331)))↳≱((⪩⨒∯103011∥⊢⊲⪩⨒∯121202)⨐(⪩⨒∯301313⪭⪩⨒∯1223312)⇍⊗(⨵≀≌⪩⨒∯132112⋣⋖⪩⨒∯220211))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11649,"operation_count":14,"complexity_ratio":832.0714285714286,"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":2771,"base":4}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2890,"base":4},"right_expr":{"type":"numeric_atoms","value":5201,"base":4}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4637,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4660,"base":4},"right_expr":{"type":"numeric_atoms","value":8125,"base":4}}}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1221,"base":4},"right_expr":{"type":"numeric_atoms","value":1634,"base":4}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":3191,"base":4},"right_expr":{"type":"numeric_atoms","value":6902,"base":4}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1942,"base":4},"right_expr":{"type":"numeric_atoms","value":2597,"base":4}}}}},"used_operators":["JwTKLfZU96","vXNesLlMH1","As8RqfVLgs","Loh9y4A90B","AFVx7xoS7T","XPYlsWDdGa","yyfyN0ffXY","5uvYHDjeKN","Noe24qw2ks","v1UQAVDJRr","j9kHMeSvPp","srAu1WTS94","J0M6qkBnIM"],"dependent_operators":["DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","EBcxylXtPf","rGHVDoGpnC","COABgblf1C","xUOZtlo3hN","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2771","layer":4},{"info":"compute unary expreesion, input=2771, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=15356882","layer":3},{"info":"number node, value=2890","layer":4},{"info":"number node, value=5201","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=5201, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=15356882, right_input=0, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=122854794","layer":2},{"info":"number node, value=4637","layer":4},{"info":"compute unary expreesion, input=4637, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9274","layer":3},{"info":"number node, value=4660","layer":4},{"info":"number node, value=8125","layer":4},{"info":"compute binary expreesion, left_input=4660, right_input=8125, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-24375","layer":3},{"info":"compute binary expreesion, left_input=9274, right_input=-24375, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=103363","layer":2},{"info":"compute binary expreesion, left_input=122854794, right_input=103363, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=1658476","layer":1},{"info":"number node, value=1221","layer":4},{"info":"number node, value=1634","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=1634, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=3191","layer":4},{"info":"number node, value=6902","layer":4},{"info":"compute binary expreesion, left_input=3191, right_input=6902, 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 = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":2},{"info":"number node, value=1942","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=2597, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1942","layer":3},{"info":"compute unary expreesion, input=1942, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5826","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5826, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"compute binary expreesion, left_input=1658476, right_input=-244, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯223103⇚⪠)⋹⋡⊁(⪩⨒∯231022↳≱⪩⨒∯1101101)≄⊠((⪲⇎⪩⨒∯1020131)⇌⫙⪟(⪩⨒∯1020310↙⪩⨒∯1332331)))↳≱((⪩⨒∯103011∥⊢⊲⪩⨒∯121202)⨐(⪩⨒∯301313⪭⪩⨒∯1223312)⇍⊗(⨵≀≌⪩⨒∯132112⋣⋖⪩⨒∯220211))=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯223103⇚⪠)⋹⋡⊁(⪩⨒∯231022↳≱⪩⨒∯1101101)≄⊠((⪲⇎⪩⨒∯1020131)⇌⫙⪟(⪩⨒∯1020310↙⪩⨒∯1332331)))↳≱((⪩⨒∯103011∥⊢⊲⪩⨒∯121202)⨐(⪩⨒∯301313⪭⪩⨒∯1223312)⇍⊗(⨵≀≌⪩⨒∯132112⋣⋖⪩⨒∯220211))","cot":[{"info":"⪩⨒∯223103⇚⪠=⪩⨒∯322211033102","layer":3},{"info":"⪩⨒∯231022↳≱⪩⨒∯1101101=⪩⨒∯0","layer":3},{"info":"⪩⨒∯322211033102⋹⋡⊁⪩⨒∯0=⪩⨒∯13110221312022","layer":2},{"info":"⪲⇎⪩⨒∯1020131=⪩⨒∯2100322","layer":3},{"info":"⪩⨒∯1020310↙⪩⨒∯1332331=⪩⨒∯-11330313","layer":3},{"info":"⪩⨒∯2100322⇌⫙⪟⪩⨒∯-11330313=⪩⨒∯121033003","layer":2},{"info":"⪩⨒∯13110221312022≄⊠⪩⨒∯121033003=⪩⨒∯12110321230","layer":1},{"info":"⪩⨒∯103011∥⊢⊲⪩⨒∯121202=NaN","layer":3},{"info":"⪩⨒∯301313⪭⪩⨒∯1223312=⪩⨒∯11","layer":3},{"info":"NaN⨐⪩⨒∯11=NaN","layer":2},{"info":"⪩⨒∯132112⋣⋖⪩⨒∯220211=⪩⨒∯132112","layer":3},{"info":"⨵≀≌⪩⨒∯132112=⪩⨒∯-1123002","layer":2},{"info":"NaN⇍⊗⪩⨒∯-1123002=⪩⨒∯-3310","layer":1},{"info":"⪩⨒∯12110321230↳≱⪩⨒∯-3310=⪩⨒∯0","layer":0}]}
{"id":646,"expression_no_base_symbol":"(⇨(⫎≠⋺$3705$↞⋁$2964$))⨐((($5284$∙∹∝$2117$)⪶≀⋏$4094$⫒⫫$1001$)⩇∃⫛($6044$⩍⋽⫝̸$1899$)⪟⇏$5988$⊕∕$1790$)","expression":"(⇨(⫎≠⋺⪩⨒∯321321↞⋁⪩⨒∯232110))⨐(((⪩⨒∯1102210∙∹∝⪩⨒∯201011)⪶≀⋏⪩⨒∯333332⫒⫫⪩⨒∯33221)⩇∃⫛(⪩⨒∯1132130⩍⋽⫝̸⪩⨒∯131223)⪟⇏⪩⨒∯1131210⊕∕⪩⨒∯123332)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":261,"operation_count":11,"complexity_ratio":23.727272727272727,"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":3705,"base":4},"right_expr":{"type":"numeric_atoms","value":2964,"base":4}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":5284,"base":4},"right_expr":{"type":"numeric_atoms","value":2117,"base":4}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4094,"base":4},"right_expr":{"type":"numeric_atoms","value":1001,"base":4}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":6044,"base":4},"right_expr":{"type":"numeric_atoms","value":1899,"base":4}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":5988,"base":4},"right_expr":{"type":"numeric_atoms","value":1790,"base":4}}}}},"used_operators":["Noe24qw2ks","G9tJMlZ94a","LYeZOJ0nQG","RqrPlJkxDo","1aApVXNlOP","zR4jO40bMj","HmxsFra2vL","6Ko8hGgeMq","GODebY97qR","BiWNJpBvwn","9cloC0Ngie"],"dependent_operators":["u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","k8jYdgA6NY","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","Ph9nP6C5qx","xUOZtlo3hN","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3705","layer":4},{"info":"number node, value=2964","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=2964, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":1},{"info":"number node, value=5284","layer":4},{"info":"number node, value=2117","layer":4},{"info":"compute binary expreesion, left_input=5284, right_input=2117, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=4094","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=4094, right_input=1001, 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=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":"number node, value=6044","layer":4},{"info":"number node, value=1899","layer":4},{"info":"compute binary expreesion, left_input=6044, right_input=1899, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=953","layer":3},{"info":"number node, value=5988","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=5988, right_input=1790, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=5988","layer":3},{"info":"compute binary expreesion, left_input=953, right_input=5988, 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=nan, right_input=-1, 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 = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇨(⫎≠⋺⪩⨒∯321321↞⋁⪩⨒∯232110))⨐(((⪩⨒∯1102210∙∹∝⪩⨒∯201011)⪶≀⋏⪩⨒∯333332⫒⫫⪩⨒∯33221)⩇∃⫛(⪩⨒∯1132130⩍⋽⫝̸⪩⨒∯131223)⪟⇏⪩⨒∯1131210⊕∕⪩⨒∯123332)=NaN","reverse_text":"NaN=(⇨(⫎≠⋺⪩⨒∯321321↞⋁⪩⨒∯232110))⨐(((⪩⨒∯1102210∙∹∝⪩⨒∯201011)⪶≀⋏⪩⨒∯333332⫒⫫⪩⨒∯33221)⩇∃⫛(⪩⨒∯1132130⩍⋽⫝̸⪩⨒∯131223)⪟⇏⪩⨒∯1131210⊕∕⪩⨒∯123332)","cot":[{"info":"⪩⨒∯321321↞⋁⪩⨒∯232110=NaN","layer":3},{"info":"⫎≠⋺NaN=NaN","layer":2},{"info":"⇨NaN=NaN","layer":1},{"info":"⪩⨒∯1102210∙∹∝⪩⨒∯201011=⪩⨒∯0","layer":3},{"info":"⪩⨒∯333332⫒⫫⪩⨒∯33221=NaN","layer":3},{"info":"⪩⨒∯0⪶≀⋏NaN=NaN","layer":2},{"info":"⪩⨒∯1132130⩍⋽⫝̸⪩⨒∯131223=⪩⨒∯32321","layer":3},{"info":"⪩⨒∯1131210⊕∕⪩⨒∯123332=⪩⨒∯1131210","layer":3},{"info":"⪩⨒∯32321⪟⇏⪩⨒∯1131210=⪩⨒∯-1","layer":2},{"info":"NaN⩇∃⫛⪩⨒∯-1=NaN","layer":1},{"info":"NaN⨐NaN=NaN","layer":0}]}
{"id":647,"expression_no_base_symbol":"(($2150$⨫⇇↔$1400$⊝⪿⪼(∓⪦$1319$))⩖⊿(($3123$⨹)↬(∟⋨$2678$)))⊕∕(($4760$⪷)≒∊$4035$⨽∌$4013$⪹)","expression":"((⪩⨒∯201212⨫⇇↔⪩⨒∯111320⊝⪿⪼(∓⪦⪩⨒∯110213))⩖⊿((⪩⨒∯300303⨹)↬(∟⋨⪩⨒∯221312)))⊕∕((⪩⨒∯1022120⪷)≒∊⪩⨒∯333003⨽∌⪩⨒∯332231⪹)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":10838,"operation_count":12,"complexity_ratio":903.1666666666666,"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":2150,"base":4},"right_expr":{"type":"numeric_atoms","value":1400,"base":4}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"numeric_atoms","value":1319,"base":4}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨹","unary_expr":{"type":"numeric_atoms","value":3123,"base":4}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":2678,"base":4}}}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":4760,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":4035,"base":4},"right_expr":{"type":"numeric_atoms","value":4013,"base":4}}}}},"used_operators":["9cloC0Ngie","RZ5CV9rWsJ","3Oe9XWJUTD","LXhwmt4mBO","D309nIvmXG","B5M0gjZbta","UnCoSGIALn","ctOc4cKSDt","B3sABdIn96","5KTvxBwnZo","Qctrpi3WzA","9samAPKr6k"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","rGHVDoGpnC","mp7IySMOzn","eLAdDNolq6","tmPS8pqC7x","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Nsiff2A1zJ","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2150","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=1400, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1319","layer":4},{"info":"compute unary expreesion, input=1319, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=911","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=911, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=2027","layer":2},{"info":"number node, value=3123","layer":4},{"info":"compute unary expreesion, input=3123, op_id = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=6246","layer":3},{"info":"number node, value=2678","layer":4},{"info":"compute unary expreesion, input=2678, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-2194","layer":3},{"info":"compute binary expreesion, left_input=6246, right_input=-2194, 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=2027, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":1},{"info":"number node, value=4760","layer":4},{"info":"compute unary expreesion, input=4760, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=4035","layer":4},{"info":"number node, value=4013","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=4013, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((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 = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯201212⨫⇇↔⪩⨒∯111320⊝⪿⪼(∓⪦⪩⨒∯110213))⩖⊿((⪩⨒∯300303⨹)↬(∟⋨⪩⨒∯221312)))⊕∕((⪩⨒∯1022120⪷)≒∊⪩⨒∯333003⨽∌⪩⨒∯332231⪹)=NaN","reverse_text":"NaN=((⪩⨒∯201212⨫⇇↔⪩⨒∯111320⊝⪿⪼(∓⪦⪩⨒∯110213))⩖⊿((⪩⨒∯300303⨹)↬(∟⋨⪩⨒∯221312)))⊕∕((⪩⨒∯1022120⪷)≒∊⪩⨒∯333003⨽∌⪩⨒∯332231⪹)","cot":[{"info":"⪩⨒∯201212⨫⇇↔⪩⨒∯111320=⪩⨒∯-20033","layer":3},{"info":"∓⪦⪩⨒∯110213=⪩⨒∯32033","layer":3},{"info":"⪩⨒∯-20033⊝⪿⪼⪩⨒∯32033=⪩⨒∯133223","layer":2},{"info":"⪩⨒∯300303⨹=⪩⨒∯1201212","layer":3},{"info":"∟⋨⪩⨒∯221312=⪩⨒∯-202102","layer":3},{"info":"⪩⨒∯1201212↬⪩⨒∯-202102=NaN","layer":2},{"info":"⪩⨒∯133223⩖⊿NaN=NaN","layer":1},{"info":"⪩⨒∯1022120⪷=NaN","layer":3},{"info":"⪩⨒∯333003⨽∌⪩⨒∯332231=⪩⨒∯0","layer":3},{"info":"NaN≒∊⪩⨒∯0=NaN","layer":2},{"info":"NaN⪹=NaN","layer":1},{"info":"NaN⊕∕NaN=NaN","layer":0}]}
{"id":648,"expression_no_base_symbol":"(⫟$3080$⊱⇼⊻$1001$∼($1495$⊧↖))⪝($1501$⩇∃⫛$2560$⫥∨⫟$1971$⪔$3416$⪨≂($1292$⋳⪒$4276$)⨜⨶(⇈$6086$))","expression":"(⫟⪩⨒∯300020⊱⇼⊻⪩⨒∯33221∼(⪩⨒∯113113⊧↖))⪝(⪩⨒∯113131⩇∃⫛⪩⨒∯220000⫥∨⫟⪩⨒∯132303⪔⪩⨒∯311120⪨≂(⪩⨒∯110030⋳⪒⪩⨒∯1002310)⨜⨶(⇈⪩⨒∯1133012))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6715,"operation_count":12,"complexity_ratio":559.5833333333334,"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":3080,"base":4},"right_expr":{"type":"numeric_atoms","value":1001,"base":4}},"right_expr":{"type":"unary","operator":"⊧↖","unary_expr":{"type":"numeric_atoms","value":1495,"base":4}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1501,"base":4},"right_expr":{"type":"numeric_atoms","value":2560,"base":4}},"right_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"numeric_atoms","value":1971,"base":4},"right_expr":{"type":"numeric_atoms","value":3416,"base":4}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1292,"base":4},"right_expr":{"type":"numeric_atoms","value":4276,"base":4}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":6086,"base":4}}}}},"used_operators":["wicAB68Tmb","z4E1FaHLuy","DyGG3AbaNP","FyVja0WsTP","EKiFHuOFxO","sdazOOVcIp","KYD54nUTWz","1aApVXNlOP","GjBEYRfMaF","HiPekx5b7W","12rbrZMWeM","SLLxy00UIr"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","5twsqlHp2o","dfKe02y8D2","8HhzD0ZcuI","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3080","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=3080, right_input=1001, 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=1495","layer":4},{"info":"compute unary expreesion, input=1495, op_id = EKiFHuOFxO, unary_op_definition = 'a⊧↖ = { ((a⨽a)⊢(a⫚↹⊑79)) }', output=13416248","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=13416248, 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 = 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=1501","layer":4},{"info":"number node, value=2560","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=2560, 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=1532","layer":3},{"info":"number node, value=1971","layer":4},{"info":"number node, value=3416","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=3416, 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=1532, right_input=450, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1292","layer":4},{"info":"number node, value=4276","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=4276, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1979","layer":3},{"info":"number node, value=6086","layer":4},{"info":"compute unary expreesion, input=6086, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-1979, right_input=-447, 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=-21689","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21689, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⫟⪩⨒∯300020⊱⇼⊻⪩⨒∯33221∼(⪩⨒∯113113⊧↖))⪝(⪩⨒∯113131⩇∃⫛⪩⨒∯220000⫥∨⫟⪩⨒∯132303⪔⪩⨒∯311120⪨≂(⪩⨒∯110030⋳⪒⪩⨒∯1002310)⨜⨶(⇈⪩⨒∯1133012))=NaN","reverse_text":"NaN=(⫟⪩⨒∯300020⊱⇼⊻⪩⨒∯33221∼(⪩⨒∯113113⊧↖))⪝(⪩⨒∯113131⩇∃⫛⪩⨒∯220000⫥∨⫟⪩⨒∯132303⪔⪩⨒∯311120⪨≂(⪩⨒∯110030⋳⪒⪩⨒∯1002310)⨜⨶(⇈⪩⨒∯1133012))","cot":[{"info":"⪩⨒∯300020⊱⇼⊻⪩⨒∯33221=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯113113⊧↖=⪩⨒∯303023130320","layer":3},{"info":"⪩⨒∯12302∼⪩⨒∯303023130320=NaN","layer":2},{"info":"⫟NaN=NaN","layer":1},{"info":"⪩⨒∯113131⩇∃⫛⪩⨒∯220000=⪩⨒∯113330","layer":3},{"info":"⪩⨒∯132303⪔⪩⨒∯311120=⪩⨒∯13002","layer":3},{"info":"⪩⨒∯113330⫥∨⫟⪩⨒∯13002=NaN","layer":2},{"info":"⪩⨒∯110030⋳⪒⪩⨒∯1002310=⪩⨒∯-132323","layer":3},{"info":"⇈⪩⨒∯1133012=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯-132323⨜⨶⪩⨒∯-12333=⪩⨒∯-11102321","layer":2},{"info":"NaN⪨≂⪩⨒∯-11102321=NaN","layer":1},{"info":"NaN⪝NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"($1269$⇤$2575$⩖⊿(⋂$1317$)⊝⪿⪼(⪁⇼$2028$≁$1333$))⋹⋡⊁((($1065$⫥∨⫟$7596$)≳⇉$1086$⇡⇂$2953$)→⨶⪴(∓⪦$1602$∓⋝$1917$))","expression":"(⪩⨒∯103311⇤⪩⨒∯220033⩖⊿(⋂⪩⨒∯110211)⊝⪿⪼(⪁⇼⪩⨒∯133230≁⪩⨒∯110311))⋹⋡⊁(((⪩⨒∯100221⫥∨⫟⪩⨒∯1312230)≳⇉⪩⨒∯100332⇡⇂⪩⨒∯232021)→⨶⪴(∓⪦⪩⨒∯121002∓⋝⪩⨒∯131331))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17664,"operation_count":13,"complexity_ratio":1358.7692307692307,"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":1269,"base":4},"right_expr":{"type":"numeric_atoms","value":2575,"base":4}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":1317,"base":4}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":2028,"base":4},"right_expr":{"type":"numeric_atoms","value":1333,"base":4}}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1065,"base":4},"right_expr":{"type":"numeric_atoms","value":7596,"base":4}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":1086,"base":4},"right_expr":{"type":"numeric_atoms","value":2953,"base":4}}},"right_expr":{"type":"unary","operator":"∓⪦","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1602,"base":4},"right_expr":{"type":"numeric_atoms","value":1917,"base":4}}}}},"used_operators":["As8RqfVLgs","3Oe9XWJUTD","RZ5CV9rWsJ","YSKBFp38Pu","BUOGQAYlQx","ZNVVrZ94lY","8N2wDY1A35","bF6eod5Gvf","V0kx6qeWkN","KYD54nUTWz","UMwdvZNt44","D309nIvmXG","PoHhknlbAi"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","8w2t5hMYqp","9FxExcQeMw","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz"],"result":"⪩⨒∯33030021222","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=2575, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-16372","layer":3},{"info":"number node, value=1317","layer":4},{"info":"compute unary expreesion, input=1317, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-17842","layer":3},{"info":"compute binary expreesion, left_input=-16372, right_input=-17842, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=37598","layer":2},{"info":"number node, value=2028","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=1333, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=18791","layer":3},{"info":"compute unary expreesion, input=18791, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=37598, right_input=422, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=497774","layer":1},{"info":"number node, value=1065","layer":4},{"info":"number node, value=7596","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=7596, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2953","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2953, 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 = 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=1602","layer":4},{"info":"number node, value=1917","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=1917, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-1918","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1918, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=497774, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3981930","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯103311⇤⪩⨒∯220033⩖⊿(⋂⪩⨒∯110211)⊝⪿⪼(⪁⇼⪩⨒∯133230≁⪩⨒∯110311))⋹⋡⊁(((⪩⨒∯100221⫥∨⫟⪩⨒∯1312230)≳⇉⪩⨒∯100332⇡⇂⪩⨒∯232021)→⨶⪴(∓⪦⪩⨒∯121002∓⋝⪩⨒∯131331))=⪩⨒∯33030021222","reverse_text":"⪩⨒∯33030021222=(⪩⨒∯103311⇤⪩⨒∯220033⩖⊿(⋂⪩⨒∯110211)⊝⪿⪼(⪁⇼⪩⨒∯133230≁⪩⨒∯110311))⋹⋡⊁(((⪩⨒∯100221⫥∨⫟⪩⨒∯1312230)≳⇉⪩⨒∯100332⇡⇂⪩⨒∯232021)→⨶⪴(∓⪦⪩⨒∯121002∓⋝⪩⨒∯131331))","cot":[{"info":"⪩⨒∯103311⇤⪩⨒∯220033=⪩⨒∯-3333310","layer":3},{"info":"⋂⪩⨒∯110211=⪩⨒∯-10112302","layer":3},{"info":"⪩⨒∯-3333310⩖⊿⪩⨒∯-10112302=⪩⨒∯21023132","layer":2},{"info":"⪩⨒∯133230≁⪩⨒∯110311=⪩⨒∯10211213","layer":3},{"info":"⪁⇼⪩⨒∯10211213=⪩⨒∯12212","layer":2},{"info":"⪩⨒∯21023132⊝⪿⪼⪩⨒∯12212=⪩⨒∯1321201232","layer":1},{"info":"⪩⨒∯100221⫥∨⫟⪩⨒∯1312230=NaN","layer":3},{"info":"⪩⨒∯100332⇡⇂⪩⨒∯232021=NaN","layer":3},{"info":"NaN≳⇉NaN=NaN","layer":2},{"info":"⪩⨒∯121002∓⋝⪩⨒∯131331=⪩⨒∯1003","layer":3},{"info":"∓⪦⪩⨒∯1003=⪩⨒∯-131332","layer":2},{"info":"NaN→⨶⪴⪩⨒∯-131332=NaN","layer":1},{"info":"⪩⨒∯1321201232⋹⋡⊁NaN=⪩⨒∯33030021222","layer":0}]}
{"id":650,"expression_no_base_symbol":"((≅≯⇸$5755$)≀⩗∶$5488$⪒⊣⊆$3486$∖(⋎⨆$4316$)⨸⪁($4104$∷$3949$))⪝((⫇(∟⋨$1988$))⩦(↩$5143$∘$1438$))","expression":"((≅≯⇸⪩⨒∯1121323)≀⩗∶⪩⨒∯1111300⪒⊣⊆⪩⨒∯312132∖(⋎⨆⪩⨒∯1003130)⨸⪁(⪩⨒∯1000020∷⪩⨒∯331231))⪝((⫇(∟⋨⪩⨒∯133010))⩦(↩⪩⨒∯1100113∘⪩⨒∯112132))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3312,"operation_count":13,"complexity_ratio":254.76923076923077,"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":5755,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":5488,"base":4},"right_expr":{"type":"numeric_atoms","value":3486,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":4316,"base":4}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4104,"base":4},"right_expr":{"type":"numeric_atoms","value":3949,"base":4}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1988,"base":4}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5143,"base":4},"right_expr":{"type":"numeric_atoms","value":1438,"base":4}}}}},"used_operators":["wicAB68Tmb","tXD093vOjl","8INZBEW696","apS25hmuAe","eRqsBgTDFp","g55IO6H4Gj","E64sFOc4tB","D3AQDKkPcf","0kmYd0q39Y","YjI8oCXuph","ctOc4cKSDt","jLgFTUHLKL","Z5m6OM72h2"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","EBcxylXtPf","QMFrweE19q","sdazOOVcIp","W4YGzv6Whe","W4YGzv6Whe","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","9FxExcQeMw","NTOWxs364D","7j4O788W3g","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","eLAdDNolq6","tmPS8pqC7x","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eH2TOUuTDT","rysDP5nf3Z"],"result":"⪩⨒∯3230","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5755","layer":4},{"info":"compute unary expreesion, input=5755, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=30697","layer":3},{"info":"number node, value=5488","layer":4},{"info":"number node, value=3486","layer":4},{"info":"compute binary expreesion, left_input=5488, right_input=3486, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=10976","layer":3},{"info":"compute binary expreesion, left_input=30697, right_input=10976, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":2},{"info":"number node, value=4316","layer":4},{"info":"compute unary expreesion, input=4316, 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=4104","layer":4},{"info":"number node, value=3949","layer":4},{"info":"compute binary expreesion, left_input=4104, right_input=3949, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=3949","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3949, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7898","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7898, 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=1988","layer":4},{"info":"compute unary expreesion, input=1988, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1504","layer":3},{"info":"compute unary expreesion, input=-1504, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-558","layer":2},{"info":"number node, value=5143","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=5143, right_input=1438, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=10286","layer":3},{"info":"compute unary expreesion, input=10286, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-79508","layer":2},{"info":"compute binary expreesion, left_input=-558, right_input=-79508, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=311489","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=311489, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=236","layer":0}],"base":4,"result_base":4,"text":"((≅≯⇸⪩⨒∯1121323)≀⩗∶⪩⨒∯1111300⪒⊣⊆⪩⨒∯312132∖(⋎⨆⪩⨒∯1003130)⨸⪁(⪩⨒∯1000020∷⪩⨒∯331231))⪝((⫇(∟⋨⪩⨒∯133010))⩦(↩⪩⨒∯1100113∘⪩⨒∯112132))=⪩⨒∯3230","reverse_text":"⪩⨒∯3230=((≅≯⇸⪩⨒∯1121323)≀⩗∶⪩⨒∯1111300⪒⊣⊆⪩⨒∯312132∖(⋎⨆⪩⨒∯1003130)⨸⪁(⪩⨒∯1000020∷⪩⨒∯331231))⪝((⫇(∟⋨⪩⨒∯133010))⩦(↩⪩⨒∯1100113∘⪩⨒∯112132))","cot":[{"info":"≅≯⇸⪩⨒∯1121323=⪩⨒∯13133221","layer":3},{"info":"⪩⨒∯1111300⪒⊣⊆⪩⨒∯312132=⪩⨒∯2223200","layer":3},{"info":"⪩⨒∯13133221≀⩗∶⪩⨒∯2223200=⪩⨒∯0","layer":2},{"info":"⋎⨆⪩⨒∯1003130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1000020∷⪩⨒∯331231=⪩⨒∯331231","layer":3},{"info":"⪩⨒∯0⨸⪁⪩⨒∯331231=⪩⨒∯1323122","layer":2},{"info":"⪩⨒∯0∖⪩⨒∯1323122=⪩⨒∯0","layer":1},{"info":"∟⋨⪩⨒∯133010=⪩⨒∯-113200","layer":3},{"info":"⫇⪩⨒∯-113200=⪩⨒∯-20232","layer":2},{"info":"⪩⨒∯1100113∘⪩⨒∯112132=⪩⨒∯2200232","layer":3},{"info":"↩⪩⨒∯2200232=⪩⨒∯-103122110","layer":2},{"info":"⪩⨒∯-20232⩦⪩⨒∯-103122110=⪩⨒∯1030003001","layer":1},{"info":"⪩⨒∯0⪝⪩⨒∯1030003001=⪩⨒∯3230","layer":0}]}
{"id":651,"expression_no_base_symbol":"⪹(($3194$∟)↱$1609$⇤$1150$)⨻⩈⩔($1353$⩁⩘$6926$≥⨤⩑$1374$⨚$5302$)","expression":"⪹((⪩⨒∯301322∟)↱⪩⨒∯121021⇤⪩⨒∯101332)⨻⩈⩔(⪩⨒∯111021⩁⩘⪩⨒∯1230032≥⨤⩑⪩⨒∯111132⨚⪩⨒∯1102312)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":245646,"operation_count":8,"complexity_ratio":30705.75,"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":3194,"base":4}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1609,"base":4},"right_expr":{"type":"numeric_atoms","value":1150,"base":4}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1353,"base":4},"right_expr":{"type":"numeric_atoms","value":6926,"base":4}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":1374,"base":4},"right_expr":{"type":"numeric_atoms","value":5302,"base":4}}}}},"used_operators":["USyYr0JgAa","nEsXyWgiOK","SR5kFfdi6N","hTbEZDJLEm","YSKBFp38Pu","gJLn6v0xnP","gub5Cegaqo","nREPSIbpBE"],"dependent_operators":["tifHPKVTfV","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","DpFCA1CohY","IWmyXbctLI","BjRHVeLaeN","12rbrZMWeM"],"result":"⪩⨒∯11202","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3194","layer":4},{"info":"compute unary expreesion, input=3194, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=1609","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=1609, right_input=1150, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-10947","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-10947, 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=-72264","layer":2},{"info":"number node, value=1353","layer":4},{"info":"number node, value=6926","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=6926, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=28652","layer":3},{"info":"number node, value=1374","layer":4},{"info":"number node, value=5302","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=5302, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-17526","layer":3},{"info":"compute binary expreesion, left_input=28652, right_input=-17526, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=57304","layer":2},{"info":"compute binary expreesion, left_input=-72264, right_input=57304, 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 = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=354","layer":0}],"base":4,"result_base":4,"text":"⪹((⪩⨒∯301322∟)↱⪩⨒∯121021⇤⪩⨒∯101332)⨻⩈⩔(⪩⨒∯111021⩁⩘⪩⨒∯1230032≥⨤⩑⪩⨒∯111132⨚⪩⨒∯1102312)=⪩⨒∯11202","reverse_text":"⪩⨒∯11202=⪹((⪩⨒∯301322∟)↱⪩⨒∯121021⇤⪩⨒∯101332)⨻⩈⩔(⪩⨒∯111021⩁⩘⪩⨒∯1230032≥⨤⩑⪩⨒∯111132⨚⪩⨒∯1102312)","cot":[{"info":"⪩⨒∯301322∟=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯121021⇤⪩⨒∯101332=⪩⨒∯-2223003","layer":3},{"info":"⪩⨒∯1301↱⪩⨒∯-2223003=⪩⨒∯-101221020","layer":2},{"info":"⪩⨒∯111021⩁⩘⪩⨒∯1230032=⪩⨒∯12333230","layer":3},{"info":"⪩⨒∯111132⨚⪩⨒∯1102312=⪩⨒∯-10101312","layer":3},{"info":"⪩⨒∯12333230≥⨤⩑⪩⨒∯-10101312=⪩⨒∯31333120","layer":2},{"info":"⪩⨒∯-101221020⨻⩈⩔⪩⨒∯31333120=⪩⨒∯-2232","layer":1},{"info":"⪹⪩⨒∯-2232=⪩⨒∯11202","layer":0}]}
{"id":652,"expression_no_base_symbol":"-(≔($4408$≒∊$5199$⫢⨠(⊆⋠$4173$)))","expression":"-(≔(⪩⨒∯1010320≒∊⪩⨒∯1101033⫢⨠(⊆⋠⪩⨒∯1001031)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":130,"operation_count":5,"complexity_ratio":26.0,"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":4408,"base":4},"right_expr":{"type":"numeric_atoms","value":5199,"base":4}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":4173,"base":4}}}}},"used_operators":["t8gj7n24qd","8FLs4eVsLt","xlXykHWxX1","5KTvxBwnZo","EBhcHTkKd8"],"dependent_operators":["uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=4408","layer":4},{"info":"number node, value=5199","layer":4},{"info":"compute binary expreesion, left_input=4408, right_input=5199, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3924","layer":3},{"info":"number node, value=4173","layer":4},{"info":"compute unary expreesion, input=4173, 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=-3924, right_input=0, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=nan","layer":2},{"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":1},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"-(≔(⪩⨒∯1010320≒∊⪩⨒∯1101033⫢⨠(⊆⋠⪩⨒∯1001031)))=NaN","reverse_text":"NaN=-(≔(⪩⨒∯1010320≒∊⪩⨒∯1101033⫢⨠(⊆⋠⪩⨒∯1001031)))","cot":[{"info":"⪩⨒∯1010320≒∊⪩⨒∯1101033=⪩⨒∯-331110","layer":3},{"info":"⊆⋠⪩⨒∯1001031=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-331110⫢⨠⪩⨒∯0=NaN","layer":2},{"info":"≔NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":653,"expression_no_base_symbol":"(∨∊⋏((⇜⊴$4661$)⊉≛↸($1464$⊝)))⨟⋌⩍(⊽((⨛$1120$)↬$2273$⪪$1863$))","expression":"(∨∊⋏((⇜⊴⪩⨒∯1020311)⊉≛↸(⪩⨒∯112320⊝)))⨟⋌⩍(⊽((⨛⪩⨒∯101200)↬⪩⨒∯203201⪪⪩⨒∯131013))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7176,"operation_count":9,"complexity_ratio":797.3333333333334,"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":4661,"base":4}},"right_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":1464,"base":4}}}},"right_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1120,"base":4}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2273,"base":4},"right_expr":{"type":"numeric_atoms","value":1863,"base":4}}}}},"used_operators":["rGHVDoGpnC","R5aXW34M0v","DZ8iAZOCBD","XwDhCwWbUn","O6EZ0fifGK","QxG7OkqoLX","B5M0gjZbta","CoMdbyAt7R","xD69zh8xqp"],"dependent_operators":["Tcnh7f0tEr","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rGHVDoGpnC","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","FU0Cs4j7VP","JclMnS0uGI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4661","layer":4},{"info":"compute unary expreesion, input=4661, 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=-1086282","layer":3},{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=1464","layer":3},{"info":"compute binary expreesion, left_input=-1086282, right_input=1464, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-1464","layer":2},{"info":"compute unary expreesion, input=-1464, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=-51481","layer":1},{"info":"number node, value=1120","layer":4},{"info":"compute unary expreesion, input=1120, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=2273","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=1863, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-339312","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-339312, 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 = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-51481, 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":4,"result_base":4,"text":"(∨∊⋏((⇜⊴⪩⨒∯1020311)⊉≛↸(⪩⨒∯112320⊝)))⨟⋌⩍(⊽((⨛⪩⨒∯101200)↬⪩⨒∯203201⪪⪩⨒∯131013))=NaN","reverse_text":"NaN=(∨∊⋏((⇜⊴⪩⨒∯1020311)⊉≛↸(⪩⨒∯112320⊝)))⨟⋌⩍(⊽((⨛⪩⨒∯101200)↬⪩⨒∯203201⪪⪩⨒∯131013))","cot":[{"info":"⇜⊴⪩⨒∯1020311=⪩⨒∯-10021031022","layer":3},{"info":"⪩⨒∯112320⊝=⪩⨒∯112320","layer":3},{"info":"⪩⨒∯-10021031022⊉≛↸⪩⨒∯112320=⪩⨒∯-112320","layer":2},{"info":"∨∊⋏⪩⨒∯-112320=⪩⨒∯-30210121","layer":1},{"info":"⨛⪩⨒∯101200=NaN","layer":3},{"info":"⪩⨒∯203201⪪⪩⨒∯131013=⪩⨒∯-1102311300","layer":3},{"info":"NaN↬⪩⨒∯-1102311300=NaN","layer":2},{"info":"⊽NaN=NaN","layer":1},{"info":"⪩⨒∯-30210121⨟⋌⩍NaN=NaN","layer":0}]}
{"id":654,"expression_no_base_symbol":"(($5782$≦≮≮)⊋≦⊧($1934$⩺⋐⫨)⫳≱↱(⪁⇼($1056$∖$1636$)))≬⇓(≻⋜(($3762$⇟⨁⪰)≚⊃≕($1193$⊉≛↸$1058$)))","expression":"((⪩⨒∯1122112≦≮≮)⊋≦⊧(⪩⨒∯132032⩺⋐⫨)⫳≱↱(⪁⇼(⪩⨒∯100200∖⪩⨒∯121210)))≬⇓(≻⋜((⪩⨒∯322302⇟⨁⪰)≚⊃≕(⪩⨒∯102221⊉≛↸⪩⨒∯100202)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":73585,"operation_count":11,"complexity_ratio":6689.545454545455,"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":5782,"base":4}},"right_expr":{"type":"unary","operator":"⩺⋐⫨","unary_expr":{"type":"numeric_atoms","value":1934,"base":4}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1056,"base":4},"right_expr":{"type":"numeric_atoms","value":1636,"base":4}}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"numeric_atoms","value":3762,"base":4}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1193,"base":4},"right_expr":{"type":"numeric_atoms","value":1058,"base":4}}}}},"used_operators":["jWTQ2TZYIH","ZvLB05nZmT","oRDoc9rAEX","D4vGDi5EA2","yS9ePUuUdn","ZNVVrZ94lY","tXD093vOjl","3tj9sqzovi","Bmrmz2XGnR","BX1lVwlMe0","DZ8iAZOCBD"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","j9kHMeSvPp","Tcnh7f0tEr","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","2DDjHMKMc0","xUOZtlo3hN","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5782","layer":4},{"info":"compute unary expreesion, input=5782, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-17346","layer":3},{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, op_id = yS9ePUuUdn, unary_op_definition = 'a⩺⋐⫨ = { ((a≣⋋)⨽∌(a⪭a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-17346, right_input=0, 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=1056","layer":4},{"info":"number node, value=1636","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=1636, 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 = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=422, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=3762","layer":4},{"info":"compute unary expreesion, input=3762, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', output=-3936","layer":3},{"info":"number node, value=1193","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=1058, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2386","layer":3},{"info":"compute binary expreesion, left_input=-3936, right_input=2386, 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=-11138","layer":2},{"info":"compute unary expreesion, input=-11138, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1122112≦≮≮)⊋≦⊧(⪩⨒∯132032⩺⋐⫨)⫳≱↱(⪁⇼(⪩⨒∯100200∖⪩⨒∯121210)))≬⇓(≻⋜((⪩⨒∯322302⇟⨁⪰)≚⊃≕(⪩⨒∯102221⊉≛↸⪩⨒∯100202)))=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯1122112≦≮≮)⊋≦⊧(⪩⨒∯132032⩺⋐⫨)⫳≱↱(⪁⇼(⪩⨒∯100200∖⪩⨒∯121210)))≬⇓(≻⋜((⪩⨒∯322302⇟⨁⪰)≚⊃≕(⪩⨒∯102221⊉≛↸⪩⨒∯100202)))","cot":[{"info":"⪩⨒∯1122112≦≮≮=⪩⨒∯-10033002","layer":3},{"info":"⪩⨒∯132032⩺⋐⫨=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-10033002⊋≦⊧⪩⨒∯0=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯100200∖⪩⨒∯121210=⪩⨒∯0","layer":3},{"info":"⪁⇼⪩⨒∯0=⪩⨒∯12212","layer":2},{"info":"⪩⨒∯3000⫳≱↱⪩⨒∯12212=⪩⨒∯-3030","layer":1},{"info":"⪩⨒∯322302⇟⨁⪰=⪩⨒∯-331200","layer":3},{"info":"⪩⨒∯102221⊉≛↸⪩⨒∯100202=⪩⨒∯211102","layer":3},{"info":"⪩⨒∯-331200≚⊃≕⪩⨒∯211102=⪩⨒∯-2232002","layer":2},{"info":"≻⋜⪩⨒∯-2232002=NaN","layer":1},{"info":"⪩⨒∯-3030≬⇓NaN=⪩⨒∯0","layer":0}]}
{"id":655,"expression_no_base_symbol":"(((⊈$1409$)↱$1046$⇍⊗$1185$)∓⋝($1330$⩖⊿$1479$≓∲$6718$⪡$1610$))↤⩊(($3240$⊭↱$1394$)∊∟⩊(↘$2920$)⩱)","expression":"(((⊈⪩⨒∯112001)↱⪩⨒∯100112⇍⊗⪩⨒∯102201)∓⋝(⪩⨒∯110302⩖⊿⪩⨒∯113013≓∲⪩⨒∯1220332⪡⪩⨒∯121022))↤⩊((⪩⨒∯302220⊭↱⪩⨒∯111302)∊∟⩊(↘⪩⨒∯231220)⩱)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":495,"operation_count":12,"complexity_ratio":41.25,"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":1409,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1046,"base":4},"right_expr":{"type":"numeric_atoms","value":1185,"base":4}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1330,"base":4},"right_expr":{"type":"numeric_atoms","value":1479,"base":4}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":6718,"base":4},"right_expr":{"type":"numeric_atoms","value":1610,"base":4}}}},"right_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3240,"base":4},"right_expr":{"type":"numeric_atoms","value":1394,"base":4}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":2920,"base":4}}}}},"used_operators":["13rbtpv6ld","PoHhknlbAi","SR5kFfdi6N","RHru8klgy8","5uvYHDjeKN","s1XTVnmDOJ","RZ5CV9rWsJ","oraRL2iQuh","uyq1hVkAcj","ddLRYrp01A","COABgblf1C","LdNpr8hQHL"],"dependent_operators":["s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","12rbrZMWeM","xUOZtlo3hN","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","t8gj7n24qd","uFcxV4UQCh"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1409","layer":4},{"info":"compute unary expreesion, input=1409, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1583","layer":3},{"info":"number node, value=1046","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1185, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-1583, right_input=-244, 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=13360","layer":2},{"info":"number node, value=1330","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=1479, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=6430","layer":3},{"info":"number node, value=6718","layer":4},{"info":"number node, value=1610","layer":4},{"info":"compute binary expreesion, left_input=6718, right_input=1610, 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=6430, right_input=107, 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=-332207","layer":2},{"info":"compute binary expreesion, left_input=13360, right_input=-332207, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"number node, value=3240","layer":4},{"info":"number node, value=1394","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=1394, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3687","layer":3},{"info":"number node, value=2920","layer":4},{"info":"compute unary expreesion, input=2920, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=176","layer":3},{"info":"compute binary expreesion, left_input=-3687, right_input=176, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=36","layer":2},{"info":"compute unary expreesion, input=36, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=-466","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-466, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⊈⪩⨒∯112001)↱⪩⨒∯100112⇍⊗⪩⨒∯102201)∓⋝(⪩⨒∯110302⩖⊿⪩⨒∯113013≓∲⪩⨒∯1220332⪡⪩⨒∯121022))↤⩊((⪩⨒∯302220⊭↱⪩⨒∯111302)∊∟⩊(↘⪩⨒∯231220)⩱)=NaN","reverse_text":"NaN=(((⊈⪩⨒∯112001)↱⪩⨒∯100112⇍⊗⪩⨒∯102201)∓⋝(⪩⨒∯110302⩖⊿⪩⨒∯113013≓∲⪩⨒∯1220332⪡⪩⨒∯121022))↤⩊((⪩⨒∯302220⊭↱⪩⨒∯111302)∊∟⩊(↘⪩⨒∯231220)⩱)","cot":[{"info":"⊈⪩⨒∯112001=⪩⨒∯-120233","layer":3},{"info":"⪩⨒∯100112⇍⊗⪩⨒∯102201=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯-120233↱⪩⨒∯-3310=⪩⨒∯3100300","layer":2},{"info":"⪩⨒∯110302⩖⊿⪩⨒∯113013=⪩⨒∯1210132","layer":3},{"info":"⪩⨒∯1220332⪡⪩⨒∯121022=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯1210132≓∲⪩⨒∯1223=⪩⨒∯-1101012233","layer":2},{"info":"⪩⨒∯3100300∓⋝⪩⨒∯-1101012233=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯302220⊭↱⪩⨒∯111302=⪩⨒∯-321213","layer":3},{"info":"↘⪩⨒∯231220=⪩⨒∯2300","layer":3},{"info":"⪩⨒∯-321213∊∟⩊⪩⨒∯2300=⪩⨒∯210","layer":2},{"info":"⪩⨒∯210⩱=⪩⨒∯-13102","layer":1},{"info":"⪩⨒∯1003↤⩊⪩⨒∯-13102=NaN","layer":0}]}
{"id":656,"expression_no_base_symbol":"((⪲⇎$1072$)⊉↱≁(≱⇩⩕$5241$)≭(⨈⪑$5449$)⫉⨲⊜($1415$∛$1000$))⨚(⩪∧⨌($6209$⫉⨲⊜$1788$)⪎↠(⋎⨆$3363$))","expression":"((⪲⇎⪩⨒∯100300)⊉↱≁(≱⇩⩕⪩⨒∯1101321)≭(⨈⪑⪩⨒∯1111021)⫉⨲⊜(⪩⨒∯112013∛⪩⨒∯33220))⨚(⩪∧⨌(⪩⨒∯1201001⫉⨲⊜⪩⨒∯123330)⪎↠(⋎⨆⪩⨒∯310203))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":326,"operation_count":12,"complexity_ratio":27.166666666666668,"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":1072,"base":4}},"right_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":5241,"base":4}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":5449,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1415,"base":4},"right_expr":{"type":"numeric_atoms","value":1000,"base":4}}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":6209,"base":4},"right_expr":{"type":"numeric_atoms","value":1788,"base":4}},"right_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":3363,"base":4}}}}},"used_operators":["nREPSIbpBE","rxpJgHHUmx","w2P8NbNXyL","XPYlsWDdGa","3DZMoQKiUl","WhqkvtTD3t","mp94q5OcYM","w2537kitQq","6iOiAJX1F8","3tVxb0NHM4","E64sFOc4tB"],"dependent_operators":["BjRHVeLaeN","12rbrZMWeM","AHs5Up7iyr","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","eewbuw0ToL","zVYPLywUTj","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH"],"result":"⪩⨒∯-20100212","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2144","layer":3},{"info":"number node, value=5241","layer":4},{"info":"compute unary expreesion, input=5241, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=2144, right_input=113, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=20710","layer":2},{"info":"number node, value=5449","layer":4},{"info":"compute unary expreesion, input=5449, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=1415","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=1000, 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=868, right_input=67, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=20710, 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":"number node, value=6209","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=6209, right_input=1788, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=3363","layer":4},{"info":"compute unary expreesion, input=3363, 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 = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=8680","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=8680, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-33830","layer":0}],"base":4,"result_base":4,"text":"((⪲⇎⪩⨒∯100300)⊉↱≁(≱⇩⩕⪩⨒∯1101321)≭(⨈⪑⪩⨒∯1111021)⫉⨲⊜(⪩⨒∯112013∛⪩⨒∯33220))⨚(⩪∧⨌(⪩⨒∯1201001⫉⨲⊜⪩⨒∯123330)⪎↠(⋎⨆⪩⨒∯310203))=⪩⨒∯-20100212","reverse_text":"⪩⨒∯-20100212=((⪲⇎⪩⨒∯100300)⊉↱≁(≱⇩⩕⪩⨒∯1101321)≭(⨈⪑⪩⨒∯1111021)⫉⨲⊜(⪩⨒∯112013∛⪩⨒∯33220))⨚(⩪∧⨌(⪩⨒∯1201001⫉⨲⊜⪩⨒∯123330)⪎↠(⋎⨆⪩⨒∯310203))","cot":[{"info":"⪲⇎⪩⨒∯100300=⪩⨒∯201200","layer":3},{"info":"≱⇩⩕⪩⨒∯1101321=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯201200⊉↱≁⪩⨒∯1301=⪩⨒∯11003212","layer":2},{"info":"⨈⪑⪩⨒∯1111021=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯112013∛⪩⨒∯33220=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯31210⫉⨲⊜⪩⨒∯1003=⪩⨒∯0","layer":2},{"info":"⪩⨒∯11003212≭⪩⨒∯0=⪩⨒∯-112","layer":1},{"info":"⪩⨒∯1201001⫉⨲⊜⪩⨒∯123330=⪩⨒∯0","layer":3},{"info":"⋎⨆⪩⨒∯310203=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⪎↠⪩⨒∯0=⪩⨒∯31210","layer":2},{"info":"⩪∧⨌⪩⨒∯31210=⪩⨒∯2013220","layer":1},{"info":"⪩⨒∯-112⨚⪩⨒∯2013220=⪩⨒∯-20100212","layer":0}]}
{"id":657,"expression_no_base_symbol":"((⪹$7966$)⩁⩘($4227$⪹))⨂≜(($3210$∷$8133$)↤⩊($1066$≳⇉$6261$))⩷∴((∨∊⋏$4236$)⋹⋡⊁(↓⇌$1915$)⋖∅⋲)","expression":"((⪹⪩⨒∯1330132)⩁⩘(⪩⨒∯1002003⪹))⨂≜((⪩⨒∯302022∷⪩⨒∯1333011)↤⩊(⪩⨒∯100222≳⇉⪩⨒∯1201311))⩷∴((∨∊⋏⪩⨒∯1002030)⋹⋡⊁(↓⇌⪩⨒∯131323)⋖∅⋲)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":485430273,"operation_count":12,"complexity_ratio":40452522.75,"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":7966,"base":4}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":4227,"base":4}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":3210,"base":4},"right_expr":{"type":"numeric_atoms","value":8133,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1066,"base":4},"right_expr":{"type":"numeric_atoms","value":6261,"base":4}}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"numeric_atoms","value":4236,"base":4}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1915,"base":4}}}}},"used_operators":["9FxExcQeMw","k1SHOSEABc","gub5Cegaqo","USyYr0JgAa","B3sABdIn96","13rbtpv6ld","D3AQDKkPcf","V0kx6qeWkN","L95AwlJzhO","As8RqfVLgs","R5aXW34M0v","PxpmPgHHJV"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","DpFCA1CohY","IWmyXbctLI","tifHPKVTfV","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","9FxExcQeMw","NTOWxs364D","7j4O788W3g","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7966","layer":4},{"info":"compute unary expreesion, input=7966, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-7786","layer":3},{"info":"number node, value=4227","layer":4},{"info":"compute unary expreesion, input=4227, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=12946","layer":3},{"info":"compute binary expreesion, left_input=-7786, right_input=12946, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=52732","layer":2},{"info":"number node, value=3210","layer":4},{"info":"number node, value=8133","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=8133, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=8133","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=6261","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=6261, 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=8133, 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":"compute binary expreesion, left_input=52732, 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=4236","layer":4},{"info":"compute unary expreesion, input=4236, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=88463","layer":3},{"info":"number node, value=1915","layer":4},{"info":"compute unary expreesion, input=1915, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1915","layer":3},{"info":"compute binary expreesion, left_input=88463, right_input=1915, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2665","layer":2},{"info":"compute unary expreesion, input=2665, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-384231, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪹⪩⨒∯1330132)⩁⩘(⪩⨒∯1002003⪹))⨂≜((⪩⨒∯302022∷⪩⨒∯1333011)↤⩊(⪩⨒∯100222≳⇉⪩⨒∯1201311))⩷∴((∨∊⋏⪩⨒∯1002030)⋹⋡⊁(↓⇌⪩⨒∯131323)⋖∅⋲)=NaN","reverse_text":"NaN=((⪹⪩⨒∯1330132)⩁⩘(⪩⨒∯1002003⪹))⨂≜((⪩⨒∯302022∷⪩⨒∯1333011)↤⩊(⪩⨒∯100222≳⇉⪩⨒∯1201311))⩷∴((∨∊⋏⪩⨒∯1002030)⋹⋡⊁(↓⇌⪩⨒∯131323)⋖∅⋲)","cot":[{"info":"⪹⪩⨒∯1330132=⪩⨒∯-1321222","layer":3},{"info":"⪩⨒∯1002003⪹=⪩⨒∯3022102","layer":3},{"info":"⪩⨒∯-1321222⩁⩘⪩⨒∯3022102=⪩⨒∯30313330","layer":2},{"info":"⪩⨒∯302022∷⪩⨒∯1333011=⪩⨒∯1333011","layer":3},{"info":"⪩⨒∯100222≳⇉⪩⨒∯1201311=NaN","layer":3},{"info":"⪩⨒∯1333011↤⩊NaN=NaN","layer":2},{"info":"⪩⨒∯30313330⨂≜NaN=NaN","layer":1},{"info":"∨∊⋏⪩⨒∯1002030=⪩⨒∯111212033","layer":3},{"info":"↓⇌⪩⨒∯131323=⪩⨒∯131323","layer":3},{"info":"⪩⨒∯111212033⋹⋡⊁⪩⨒∯131323=⪩⨒∯221221","layer":2},{"info":"⪩⨒∯221221⋖∅⋲=⪩⨒∯-1131303213","layer":1},{"info":"NaN⩷∴⪩⨒∯-1131303213=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"((→⩰(⨴⫝$3504$))⨱∎)⩧⪆((⫎≠⋺$4367$)≁↽≥(⊗$2023$)∠↢$1140$⫣⪄⊒$3967$⨟⋌⩍($6608$⩠))","expression":"((→⩰(⨴⫝⪩⨒∯312300))⨱∎)⩧⪆((⫎≠⋺⪩⨒∯1010033)≁↽≥(⊗⪩⨒∯133213)∠↢⪩⨒∯101310⫣⪄⊒⪩⨒∯331333⨟⋌⩍(⪩⨒∯1213100⩠))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6377,"operation_count":11,"complexity_ratio":579.7272727272727,"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":3504,"base":4}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":4367,"base":4}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":2023,"base":4}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1140,"base":4},"right_expr":{"type":"numeric_atoms","value":3967,"base":4}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":6608,"base":4}}}}},"used_operators":["Ikt5ks8PT7","MmTdOpaElr","o8Pngz0Tml","SVb2v531z1","KbjG8mgYpV","ncHt1X6cMc","LYeZOJ0nQG","RhiyfpczSx","rGHVDoGpnC","RabNbG55vr","sJAwomhLZr"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","tifHPKVTfV","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","Tcnh7f0tEr","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"⪩⨒∯-1023120212","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3504","layer":4},{"info":"compute unary expreesion, input=3504, 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 = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":1},{"info":"number node, value=4367","layer":4},{"info":"compute unary expreesion, input=4367, 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=2023","layer":4},{"info":"compute unary expreesion, input=2023, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-4046","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4046, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=1140","layer":4},{"info":"number node, value=3967","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=3967, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-22034","layer":3},{"info":"number node, value=6608","layer":4},{"info":"compute unary expreesion, input=6608, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-22034, right_input=0, 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=-22034","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=-22034, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=308774","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=308774, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-308774","layer":0}],"base":4,"result_base":4,"text":"((→⩰(⨴⫝⪩⨒∯312300))⨱∎)⩧⪆((⫎≠⋺⪩⨒∯1010033)≁↽≥(⊗⪩⨒∯133213)∠↢⪩⨒∯101310⫣⪄⊒⪩⨒∯331333⨟⋌⩍(⪩⨒∯1213100⩠))=⪩⨒∯-1023120212","reverse_text":"⪩⨒∯-1023120212=((→⩰(⨴⫝⪩⨒∯312300))⨱∎)⩧⪆((⫎≠⋺⪩⨒∯1010033)≁↽≥(⊗⪩⨒∯133213)∠↢⪩⨒∯101310⫣⪄⊒⪩⨒∯331333⨟⋌⩍(⪩⨒∯1213100⩠))","cot":[{"info":"⨴⫝⪩⨒∯312300=⪩⨒∯22302132212","layer":3},{"info":"→⩰⪩⨒∯22302132212=NaN","layer":2},{"info":"NaN⨱∎=NaN","layer":1},{"info":"⫎≠⋺⪩⨒∯1010033=⪩⨒∯0","layer":3},{"info":"⊗⪩⨒∯133213=⪩⨒∯-333032","layer":3},{"info":"⪩⨒∯0≁↽≥⪩⨒∯-333032=⪩⨒∯3010","layer":2},{"info":"⪩⨒∯101310⫣⪄⊒⪩⨒∯331333=⪩⨒∯-11120102","layer":3},{"info":"⪩⨒∯1213100⩠=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-11120102⨟⋌⩍⪩⨒∯0=⪩⨒∯-11120102","layer":2},{"info":"⪩⨒∯3010∠↢⪩⨒∯-11120102=⪩⨒∯1023120212","layer":1},{"info":"NaN⩧⪆⪩⨒∯1023120212=⪩⨒∯-1023120212","layer":0}]}
{"id":659,"expression_no_base_symbol":"⨞⊢((($2011$⨸⪁$3950$)⫽⇹≛)+$6172$⊮⊟↴$1030$⪟⇏(⇁⨣⪵$5170$))","expression":"⨞⊢(((⪩⨒∯133123⨸⪁⪩⨒∯331232)⫽⇹≛)+⪩⨒∯1200130⊮⊟↴⪩⨒∯100012⪟⇏(⇁⨣⪵⪩⨒∯1100302))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":105,"operation_count":7,"complexity_ratio":15.0,"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":2011,"base":4},"right_expr":{"type":"numeric_atoms","value":3950,"base":4}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":6172,"base":4},"right_expr":{"type":"numeric_atoms","value":1030,"base":4}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5170,"base":4}}}}},"used_operators":["xUOZtlo3hN","W4YGzv6Whe","NNaDxxp6OQ","g55IO6H4Gj","GODebY97qR","QDVgd2eftb","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","W4YGzv6Whe","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","B5M0gjZbta"],"result":"⪩⨒∯-12332","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2011","layer":4},{"info":"number node, value=3950","layer":4},{"info":"compute binary expreesion, left_input=2011, right_input=3950, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11922","layer":3},{"info":"compute unary expreesion, input=11922, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":2},{"info":"number node, value=6172","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=6172, right_input=1030, 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=5170","layer":4},{"info":"compute unary expreesion, input=5170, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, 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":2},{"info":"compute binary expreesion, left_input=272, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=272","layer":1},{"info":"compute unary expreesion, input=272, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-446","layer":0}],"base":4,"result_base":4,"text":"⨞⊢(((⪩⨒∯133123⨸⪁⪩⨒∯331232)⫽⇹≛)+⪩⨒∯1200130⊮⊟↴⪩⨒∯100012⪟⇏(⇁⨣⪵⪩⨒∯1100302))=⪩⨒∯-12332","reverse_text":"⪩⨒∯-12332=⨞⊢(((⪩⨒∯133123⨸⪁⪩⨒∯331232)⫽⇹≛)+⪩⨒∯1200130⊮⊟↴⪩⨒∯100012⪟⇏(⇁⨣⪵⪩⨒∯1100302))","cot":[{"info":"⪩⨒∯133123⨸⪁⪩⨒∯331232=⪩⨒∯2322102","layer":3},{"info":"⪩⨒∯2322102⫽⇹≛=⪩⨒∯10100","layer":2},{"info":"⪩⨒∯1200130⊮⊟↴⪩⨒∯100012=⪩⨒∯0","layer":3},{"info":"⇁⨣⪵⪩⨒∯1100302=NaN","layer":3},{"info":"⪩⨒∯0⪟⇏NaN=⪩⨒∯0","layer":2},{"info":"⪩⨒∯10100+⪩⨒∯0=⪩⨒∯10100","layer":1},{"info":"⨞⊢⪩⨒∯10100=⪩⨒∯-12332","layer":0}]}
{"id":660,"expression_no_base_symbol":"⇨((≤/($6840$∕⩚$4137$))↦)","expression":"⇨((≤/(⪩⨒∯1222320∕⩚⪩⨒∯1000221))↦)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":239638,"operation_count":4,"complexity_ratio":59909.5,"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":6840,"base":4},"right_expr":{"type":"numeric_atoms","value":4137,"base":4}}}}},"used_operators":["G9tJMlZ94a","fFznvYxMfW","eLAdDNolq6","z9ffQ9n5Zr"],"dependent_operators":["k8jYdgA6NY","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","rysDP5nf3Z","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6840","layer":4},{"info":"number node, value=4137","layer":4},{"info":"compute binary expreesion, left_input=6840, right_input=4137, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-6843","layer":3},{"info":"compute unary expreesion, input=-6843, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=7327","layer":2},{"info":"compute unary expreesion, input=7327, 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":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇨((≤/(⪩⨒∯1222320∕⩚⪩⨒∯1000221))↦)=NaN","reverse_text":"NaN=⇨((≤/(⪩⨒∯1222320∕⩚⪩⨒∯1000221))↦)","cot":[{"info":"⪩⨒∯1222320∕⩚⪩⨒∯1000221=⪩⨒∯-1222323","layer":3},{"info":"≤/⪩⨒∯-1222323=⪩⨒∯1302133","layer":2},{"info":"⪩⨒∯1302133↦=NaN","layer":1},{"info":"⇨NaN=NaN","layer":0}]}
{"id":661,"expression_no_base_symbol":"($2916$⫒⫫$2363$⇴∐(↽≂$3305$))↤⩊((⩦⊞$3412$)⩇∃⫛($3297$∠⫱$2824$))⫘(((≇⪴$4229$)⪉⨛$3479$⋓$6290$)⨚(($1166$⫡⨏$4973$)-$1289$∲⫓$2933$))","expression":"(⪩⨒∯231210⫒⫫⪩⨒∯210323⇴∐(↽≂⪩⨒∯303221))↤⩊((⩦⊞⪩⨒∯311110)⩇∃⫛(⪩⨒∯303201∠⫱⪩⨒∯230020))⫘(((≇⪴⪩⨒∯1002011)⪉⨛⪩⨒∯312113⋓⪩⨒∯1202102)⨚((⪩⨒∯102032⫡⨏⪩⨒∯1031231)-⪩⨒∯110021∲⫓⪩⨒∯231311))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":369,"operation_count":15,"complexity_ratio":24.6,"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":2916,"base":4},"right_expr":{"type":"numeric_atoms","value":2363,"base":4}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3305,"base":4}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":3412,"base":4}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":3297,"base":4},"right_expr":{"type":"numeric_atoms","value":2824,"base":4}}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":4229,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3479,"base":4},"right_expr":{"type":"numeric_atoms","value":6290,"base":4}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1166,"base":4},"right_expr":{"type":"numeric_atoms","value":4973,"base":4}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1289,"base":4},"right_expr":{"type":"numeric_atoms","value":2933,"base":4}}}}},"used_operators":["48vC8HMD2b","13rbtpv6ld","HnzytWxmAO","6Ko8hGgeMq","u6S6b8DprG","1aApVXNlOP","u7fv1HBiaC","QvoQhV0rrE","nREPSIbpBE","EWw2JM7wp4","zoVPnxeHJ3","T2fj7uvVaJ","rysDP5nf3Z","QMFrweE19q","i8ToyICDmI"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","BjRHVeLaeN","12rbrZMWeM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2916","layer":4},{"info":"number node, value=2363","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=2363, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=3305","layer":4},{"info":"compute unary expreesion, input=3305, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6610","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6610, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"number node, value=3412","layer":4},{"info":"compute unary expreesion, input=3412, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-3139","layer":3},{"info":"number node, value=3297","layer":4},{"info":"number node, value=2824","layer":4},{"info":"compute binary expreesion, left_input=3297, right_input=2824, 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=-3139, right_input=1234, 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=-3139","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3139, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=4229","layer":4},{"info":"compute unary expreesion, input=4229, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-11347","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=6290","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=6290, 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=-11347, right_input=0, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-33826","layer":2},{"info":"number node, value=1166","layer":4},{"info":"number node, value=4973","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=4973, 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=16559","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=2933","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=2933, 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=16559, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=16559","layer":2},{"info":"compute binary expreesion, left_input=-33826, right_input=16559, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-132954","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-132954, 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":4,"result_base":4,"text":"(⪩⨒∯231210⫒⫫⪩⨒∯210323⇴∐(↽≂⪩⨒∯303221))↤⩊((⩦⊞⪩⨒∯311110)⩇∃⫛(⪩⨒∯303201∠⫱⪩⨒∯230020))⫘(((≇⪴⪩⨒∯1002011)⪉⨛⪩⨒∯312113⋓⪩⨒∯1202102)⨚((⪩⨒∯102032⫡⨏⪩⨒∯1031231)-⪩⨒∯110021∲⫓⪩⨒∯231311))=NaN","reverse_text":"NaN=(⪩⨒∯231210⫒⫫⪩⨒∯210323⇴∐(↽≂⪩⨒∯303221))↤⩊((⩦⊞⪩⨒∯311110)⩇∃⫛(⪩⨒∯303201∠⫱⪩⨒∯230020))⫘(((≇⪴⪩⨒∯1002011)⪉⨛⪩⨒∯312113⋓⪩⨒∯1202102)⨚((⪩⨒∯102032⫡⨏⪩⨒∯1031231)-⪩⨒∯110021∲⫓⪩⨒∯231311))","cot":[{"info":"⪩⨒∯231210⫒⫫⪩⨒∯210323=NaN","layer":3},{"info":"↽≂⪩⨒∯303221=⪩⨒∯-1213102","layer":3},{"info":"NaN⇴∐⪩⨒∯-1213102=NaN","layer":2},{"info":"⩦⊞⪩⨒∯311110=⪩⨒∯-301003","layer":3},{"info":"⪩⨒∯303201∠⫱⪩⨒∯230020=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-301003⩇∃⫛⪩⨒∯103102=⪩⨒∯-301003","layer":2},{"info":"NaN↤⩊⪩⨒∯-301003=NaN","layer":1},{"info":"≇⪴⪩⨒∯1002011=⪩⨒∯-2301103","layer":3},{"info":"⪩⨒∯312113⋓⪩⨒∯1202102=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2301103⪉⨛⪩⨒∯0=⪩⨒∯-20100202","layer":2},{"info":"⪩⨒∯102032⫡⨏⪩⨒∯1031231=⪩⨒∯10002233","layer":3},{"info":"⪩⨒∯110021∲⫓⪩⨒∯231311=⪩⨒∯0","layer":3},{"info":"⪩⨒∯10002233-⪩⨒∯0=⪩⨒∯10002233","layer":2},{"info":"⪩⨒∯-20100202⨚⪩⨒∯10002233=⪩⨒∯-200131122","layer":1},{"info":"NaN⫘⪩⨒∯-200131122=NaN","layer":0}]}
{"id":662,"expression_no_base_symbol":"⪫⨮⊛(($4012$⨚⇆$4407$)⨿($1374$↡⊰⫅$5935$)≴⪞⇿(($3225$∛≔)⨚(⨈⫕$2120$)))","expression":"⪫⨮⊛((⪩⨒∯332230⨚⇆⪩⨒∯1010313)⨿(⪩⨒∯111132↡⊰⫅⪩⨒∯1130233)≴⪞⇿((⪩⨒∯302121∛≔)⨚(⨈⫕⪩⨒∯201020)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25998413,"operation_count":8,"complexity_ratio":3249801.625,"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":4012,"base":4},"right_expr":{"type":"numeric_atoms","value":4407,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1374,"base":4},"right_expr":{"type":"numeric_atoms","value":5935,"base":4}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"numeric_atoms","value":3225,"base":4}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2120,"base":4}}}}},"used_operators":["w5FWba1tyO","lvlrscuwVU","abYXlopdE0","lwHaAYXP2r","VCtxkLNOzz","nREPSIbpBE","mGnSCrte3L","megm06wKyl"],"dependent_operators":["s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","BjRHVeLaeN","12rbrZMWeM","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=4012","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=4012, right_input=4407, 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=1374","layer":4},{"info":"number node, value=5935","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=5935, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=11870","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11870, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=3225","layer":4},{"info":"compute unary expreesion, input=3225, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-inf","layer":3},{"info":"number node, value=2120","layer":4},{"info":"compute unary expreesion, input=2120, 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=-inf, right_input=-21, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=85106","layer":1},{"info":"compute unary expreesion, input=85106, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⪫⨮⊛((⪩⨒∯332230⨚⇆⪩⨒∯1010313)⨿(⪩⨒∯111132↡⊰⫅⪩⨒∯1130233)≴⪞⇿((⪩⨒∯302121∛≔)⨚(⨈⫕⪩⨒∯201020)))=NaN","reverse_text":"NaN=⪫⨮⊛((⪩⨒∯332230⨚⇆⪩⨒∯1010313)⨿(⪩⨒∯111132↡⊰⫅⪩⨒∯1130233)≴⪞⇿((⪩⨒∯302121∛≔)⨚(⨈⫕⪩⨒∯201020)))","cot":[{"info":"⪩⨒∯332230⨚⇆⪩⨒∯1010313=NaN","layer":3},{"info":"⪩⨒∯111132↡⊰⫅⪩⨒∯1130233=⪩⨒∯2321132","layer":3},{"info":"NaN⨿⪩⨒∯2321132=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯302121∛≔=-Inf","layer":3},{"info":"⨈⫕⪩⨒∯201020=⪩⨒∯-111","layer":3},{"info":"-Inf⨚⪩⨒∯-111=NaN","layer":2},{"info":"⪩⨒∯1003≴⪞⇿NaN=⪩⨒∯110301302","layer":1},{"info":"⪫⨮⊛⪩⨒∯110301302=NaN","layer":0}]}
{"id":663,"expression_no_base_symbol":"⇐(($1152$⫦⪉$3630$)⩍⋽⫝̸($4151$∠⫱$2226$)↬($1218$∌$2314$)∺≝⩲(↩⪖$1228$))","expression":"⇐((⪩⨒∯102000⫦⪉⪩⨒∯320232)⩍⋽⫝̸(⪩⨒∯1000313∠⫱⪩⨒∯202302)↬(⪩⨒∯103002∌⪩⨒∯210022)∺≝⩲(↩⪖⪩⨒∯103030))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":109,"operation_count":8,"complexity_ratio":13.625,"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":1152,"base":4},"right_expr":{"type":"numeric_atoms","value":3630,"base":4}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":4151,"base":4},"right_expr":{"type":"numeric_atoms","value":2226,"base":4}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":1218,"base":4},"right_expr":{"type":"numeric_atoms","value":2314,"base":4}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1228,"base":4}}}}},"used_operators":["nmZMaaE0Q9","B5M0gjZbta","BiWNJpBvwn","wscyQdcy20","QvoQhV0rrE","KPf6cnQVty","8cLx32lpNA","fG6uBQFnGz"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","rGHVDoGpnC","Ph9nP6C5qx","xUOZtlo3hN","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1152","layer":4},{"info":"number node, value=3630","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=3630, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2596","layer":3},{"info":"number node, value=4151","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=4151, right_input=2226, 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=2596, right_input=1234, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=288","layer":2},{"info":"number node, value=1218","layer":4},{"info":"number node, value=2314","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=2314, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2314","layer":3},{"info":"number node, value=1228","layer":4},{"info":"compute unary expreesion, input=1228, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-10350","layer":3},{"info":"compute binary expreesion, left_input=-2314, right_input=-10350, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=288, right_input=160, 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 unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇐((⪩⨒∯102000⫦⪉⪩⨒∯320232)⩍⋽⫝̸(⪩⨒∯1000313∠⫱⪩⨒∯202302)↬(⪩⨒∯103002∌⪩⨒∯210022)∺≝⩲(↩⪖⪩⨒∯103030))=NaN","reverse_text":"NaN=⇐((⪩⨒∯102000⫦⪉⪩⨒∯320232)⩍⋽⫝̸(⪩⨒∯1000313∠⫱⪩⨒∯202302)↬(⪩⨒∯103002∌⪩⨒∯210022)∺≝⩲(↩⪖⪩⨒∯103030))","cot":[{"info":"⪩⨒∯102000⫦⪉⪩⨒∯320232=⪩⨒∯220210","layer":3},{"info":"⪩⨒∯1000313∠⫱⪩⨒∯202302=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯220210⩍⋽⫝̸⪩⨒∯103102=⪩⨒∯10200","layer":2},{"info":"⪩⨒∯103002∌⪩⨒∯210022=⪩⨒∯-210022","layer":3},{"info":"↩⪖⪩⨒∯103030=⪩⨒∯-2201232","layer":3},{"info":"⪩⨒∯-210022∺≝⩲⪩⨒∯-2201232=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯10200↬⪩⨒∯2200=NaN","layer":1},{"info":"⇐NaN=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"∓⪦($6689$⪍↜⋙$3247$)⪃⊛⇣($4482$⊍⩺⋍$3633$)≴⪞⇿(($2611$⨪↰⇹$2815$)∳⫺$1209$⊮⊟↴$2999$)","expression":"∓⪦(⪩⨒∯1220201⪍↜⋙⪩⨒∯302233)⪃⊛⇣(⪩⨒∯1012002⊍⩺⋍⪩⨒∯320301)≴⪞⇿((⪩⨒∯220303⨪↰⇹⪩⨒∯223333)∳⫺⪩⨒∯102321⊮⊟↴⪩⨒∯232313)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4533,"operation_count":8,"complexity_ratio":566.625,"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":6689,"base":4},"right_expr":{"type":"numeric_atoms","value":3247,"base":4}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":4482,"base":4},"right_expr":{"type":"numeric_atoms","value":3633,"base":4}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2611,"base":4},"right_expr":{"type":"numeric_atoms","value":2815,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1209,"base":4},"right_expr":{"type":"numeric_atoms","value":2999,"base":4}}}}},"used_operators":["D309nIvmXG","lvlrscuwVU","rrgAzCduG9","L05ObWFQCd","OXDGMFPWZM","AzXXKTstlj","tmPS8pqC7x","QDVgd2eftb"],"dependent_operators":["P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","rJVOvQCfKK","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"⪩⨒∯12333202211","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6689","layer":4},{"info":"number node, value=3247","layer":4},{"info":"compute binary expreesion, left_input=6689, right_input=3247, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=6884","layer":3},{"info":"number node, value=4482","layer":4},{"info":"number node, value=3633","layer":4},{"info":"compute binary expreesion, left_input=4482, right_input=3633, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6884, right_input=nan, 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=2611","layer":4},{"info":"number node, value=2815","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=2815, 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=2611","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=2999, 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=2611, right_input=0, 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=1234, right_input=-260, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=1833533","layer":1},{"info":"compute unary expreesion, input=1833533, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=1833125","layer":0}],"base":4,"result_base":4,"text":"∓⪦(⪩⨒∯1220201⪍↜⋙⪩⨒∯302233)⪃⊛⇣(⪩⨒∯1012002⊍⩺⋍⪩⨒∯320301)≴⪞⇿((⪩⨒∯220303⨪↰⇹⪩⨒∯223333)∳⫺⪩⨒∯102321⊮⊟↴⪩⨒∯232313)=⪩⨒∯12333202211","reverse_text":"⪩⨒∯12333202211=∓⪦(⪩⨒∯1220201⪍↜⋙⪩⨒∯302233)⪃⊛⇣(⪩⨒∯1012002⊍⩺⋍⪩⨒∯320301)≴⪞⇿((⪩⨒∯220303⨪↰⇹⪩⨒∯223333)∳⫺⪩⨒∯102321⊮⊟↴⪩⨒∯232313)","cot":[{"info":"⪩⨒∯1220201⪍↜⋙⪩⨒∯302233=⪩⨒∯1223210","layer":3},{"info":"⪩⨒∯1012002⊍⩺⋍⪩⨒∯320301=NaN","layer":3},{"info":"⪩⨒∯1223210⪃⊛⇣NaN=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯220303⨪↰⇹⪩⨒∯223333=⪩⨒∯220303","layer":3},{"info":"⪩⨒∯102321⊮⊟↴⪩⨒∯232313=⪩⨒∯0","layer":3},{"info":"⪩⨒∯220303∳⫺⪩⨒∯0=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯103102≴⪞⇿⪩⨒∯-10010=⪩⨒∯12333220331","layer":1},{"info":"∓⪦⪩⨒∯12333220331=⪩⨒∯12333202211","layer":0}]}
{"id":665,"expression_no_base_symbol":"(($4956$⋣⋖$8516$)⇗⋫)→⨶⪴$2275$⩍⋽⫝̸$1060$⋛($2116$∽$1419$)⇄((⊀$3348$)⨔⇊($1008$↼⊘⨖$1606$)⩹(($4589$⫥∨⫟$4552$)⨕⋳))","expression":"((⪩⨒∯1031130⋣⋖⪩⨒∯2011010)⇗⋫)→⨶⪴⪩⨒∯203203⩍⋽⫝̸⪩⨒∯100210⋛(⪩⨒∯201010∽⪩⨒∯112023)⇄((⊀⪩⨒∯310110)⨔⇊(⪩⨒∯33300↼⊘⨖⪩⨒∯121012)⩹((⪩⨒∯1013231⫥∨⫟⪩⨒∯1013020)⨕⋳))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":367,"operation_count":13,"complexity_ratio":28.23076923076923,"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":4956,"base":4},"right_expr":{"type":"numeric_atoms","value":8516,"base":4}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2275,"base":4},"right_expr":{"type":"numeric_atoms","value":1060,"base":4}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":2116,"base":4},"right_expr":{"type":"numeric_atoms","value":1419,"base":4}}}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":3348,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":1008,"base":4},"right_expr":{"type":"numeric_atoms","value":1606,"base":4}}},"right_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4589,"base":4},"right_expr":{"type":"numeric_atoms","value":4552,"base":4}}}}},"used_operators":["3EYGwJThht","bF6eod5Gvf","hpqmaQFPrd","J0M6qkBnIM","YbUVn0Rbpy","BiWNJpBvwn","y4ImoPnbV5","2Wsdkap16l","JclMnS0uGI","oPMjh9089D","bPywburJMS","4X4GscPmMf","KYD54nUTWz"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","8w2t5hMYqp","9FxExcQeMw","rxpJgHHUmx","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4956","layer":4},{"info":"number node, value=8516","layer":4},{"info":"compute binary expreesion, left_input=4956, right_input=8516, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=4956","layer":3},{"info":"compute unary expreesion, input=4956, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=2275","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=1060, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=114","layer":3},{"info":"number node, value=2116","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=2116, right_input=1419, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-14659","layer":3},{"info":"compute binary expreesion, left_input=114, right_input=-14659, 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=-43332","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-43332, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":1},{"info":"number node, value=3348","layer":4},{"info":"compute unary expreesion, input=3348, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=13130","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1606, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=2990","layer":3},{"info":"compute binary expreesion, left_input=13130, right_input=2990, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2990","layer":2},{"info":"number node, value=4589","layer":4},{"info":"number node, value=4552","layer":4},{"info":"compute binary expreesion, left_input=4589, right_input=4552, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2990, 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 = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1031130⋣⋖⪩⨒∯2011010)⇗⋫)→⨶⪴⪩⨒∯203203⩍⋽⫝̸⪩⨒∯100210⋛(⪩⨒∯201010∽⪩⨒∯112023)⇄((⊀⪩⨒∯310110)⨔⇊(⪩⨒∯33300↼⊘⨖⪩⨒∯121012)⩹((⪩⨒∯1013231⫥∨⫟⪩⨒∯1013020)⨕⋳))=NaN","reverse_text":"NaN=((⪩⨒∯1031130⋣⋖⪩⨒∯2011010)⇗⋫)→⨶⪴⪩⨒∯203203⩍⋽⫝̸⪩⨒∯100210⋛(⪩⨒∯201010∽⪩⨒∯112023)⇄((⊀⪩⨒∯310110)⨔⇊(⪩⨒∯33300↼⊘⨖⪩⨒∯121012)⩹((⪩⨒∯1013231⫥∨⫟⪩⨒∯1013020)⨕⋳))","cot":[{"info":"⪩⨒∯1031130⋣⋖⪩⨒∯2011010=⪩⨒∯1031130","layer":3},{"info":"⪩⨒∯1031130⇗⋫=NaN","layer":2},{"info":"⪩⨒∯203203⩍⋽⫝̸⪩⨒∯100210=⪩⨒∯1302","layer":3},{"info":"⪩⨒∯201010∽⪩⨒∯112023=⪩⨒∯-3211003","layer":3},{"info":"⪩⨒∯1302⋛⪩⨒∯-3211003=⪩⨒∯-22211010","layer":2},{"info":"NaN→⨶⪴⪩⨒∯-22211010=NaN","layer":1},{"info":"⊀⪩⨒∯310110=⪩⨒∯3031022","layer":3},{"info":"⪩⨒∯33300↼⊘⨖⪩⨒∯121012=⪩⨒∯232232","layer":3},{"info":"⪩⨒∯3031022⨔⇊⪩⨒∯232232=⪩⨒∯232232","layer":2},{"info":"⪩⨒∯1013231⫥∨⫟⪩⨒∯1013020=NaN","layer":3},{"info":"NaN⨕⋳=NaN","layer":2},{"info":"⪩⨒∯232232⩹NaN=NaN","layer":1},{"info":"NaN⇄NaN=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"(⋃$6699$)⨂≜($1612$+⪬∐$1296$)↳≱((∂$4253$)+⇶⊼$3032$∼$2959$)⨳⩥⨓(($1979$⫥∨⫟$1016$)⫁(⇺⋃$5124$)⊅)","expression":"(⋃⪩⨒∯1220223)⨂≜(⪩⨒∯121030+⪬∐⪩⨒∯110100)↳≱((∂⪩⨒∯1002131)+⇶⊼⪩⨒∯233120∼⪩⨒∯232033)⨳⩥⨓((⪩⨒∯132323⫥∨⫟⪩⨒∯33320)⫁(⇺⋃⪩⨒∯1100010)⊅)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":14077,"operation_count":12,"complexity_ratio":1173.0833333333333,"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":6699,"base":4}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":1612,"base":4},"right_expr":{"type":"numeric_atoms","value":1296,"base":4}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4253,"base":4}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3032,"base":4},"right_expr":{"type":"numeric_atoms","value":2959,"base":4}}}},"right_expr":{"type":"unary","operator":"⊅","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1979,"base":4},"right_expr":{"type":"numeric_atoms","value":1016,"base":4}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":5124,"base":4}}}}},"used_operators":["nCS4ZIUYfx","JwTKLfZU96","k1SHOSEABc","3mBM5G4a3l","2GS7woTJqF","TpPTUOHfaN","Uaa54Peajs","DyGG3AbaNP","7p6YLioM7f","0ajvFaJAv0","KYD54nUTWz","E5v5B3UAjG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","g55IO6H4Gj","g55IO6H4Gj","D4vGDi5EA2","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","SUmda5xLS4","vg4gO5BX6G","HrjLwUk87U","cHh1gJQ2o6","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH"],"result":"⪩⨒∯-2232","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6699","layer":4},{"info":"compute unary expreesion, input=6699, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=13500","layer":3},{"info":"number node, value=1612","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=1296, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-4836","layer":3},{"info":"compute binary expreesion, left_input=13500, right_input=-4836, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=4253","layer":4},{"info":"compute unary expreesion, input=4253, 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=3032","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=3032, right_input=2959, 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 = 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 = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=1979","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=1016, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5124","layer":4},{"info":"compute unary expreesion, input=5124, 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 = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 7p6YLioM7f, unary_op_definition = 'a⊅ = { ((a⪄a)⊨(517⪚a)) }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-174, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-174","layer":0}],"base":4,"result_base":4,"text":"(⋃⪩⨒∯1220223)⨂≜(⪩⨒∯121030+⪬∐⪩⨒∯110100)↳≱((∂⪩⨒∯1002131)+⇶⊼⪩⨒∯233120∼⪩⨒∯232033)⨳⩥⨓((⪩⨒∯132323⫥∨⫟⪩⨒∯33320)⫁(⇺⋃⪩⨒∯1100010)⊅)=⪩⨒∯-2232","reverse_text":"⪩⨒∯-2232=(⋃⪩⨒∯1220223)⨂≜(⪩⨒∯121030+⪬∐⪩⨒∯110100)↳≱((∂⪩⨒∯1002131)+⇶⊼⪩⨒∯233120∼⪩⨒∯232033)⨳⩥⨓((⪩⨒∯132323⫥∨⫟⪩⨒∯33320)⫁(⇺⋃⪩⨒∯1100010)⊅)","cot":[{"info":"⋃⪩⨒∯1220223=⪩⨒∯3102330","layer":3},{"info":"⪩⨒∯121030+⪬∐⪩⨒∯110100=⪩⨒∯-1023210","layer":3},{"info":"⪩⨒∯3102330⨂≜⪩⨒∯-1023210=NaN","layer":2},{"info":"∂⪩⨒∯1002131=NaN","layer":3},{"info":"⪩⨒∯233120∼⪩⨒∯232033=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"NaN↳≱NaN=⪩⨒∯0","layer":1},{"info":"⪩⨒∯132323⫥∨⫟⪩⨒∯33320=NaN","layer":3},{"info":"⇺⋃⪩⨒∯1100010=NaN","layer":3},{"info":"NaN⫁NaN=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯2200⊅=⪩⨒∯-2232","layer":1},{"info":"⪩⨒∯0⨳⩥⨓⪩⨒∯-2232=⪩⨒∯-2232","layer":0}]}
{"id":667,"expression_no_base_symbol":"∡$2284$⊮⊟↴$2337$∘($1787$≠≀$1976$)⪨⊡$1407$⨂≜$1539$≁($3014$⪘⫢$5887$)","expression":"∡⪩⨒∯203230⊮⊟↴⪩⨒∯210201∘(⪩⨒∯123323≠≀⪩⨒∯132320)⪨⊡⪩⨒∯111333⨂≜⪩⨒∯120003≁(⪩⨒∯233012⪘⫢⪩⨒∯1123333)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1543,"operation_count":8,"complexity_ratio":192.875,"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":2284,"base":4},"right_expr":{"type":"numeric_atoms","value":2337,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1787,"base":4},"right_expr":{"type":"numeric_atoms","value":1976,"base":4}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1407,"base":4},"right_expr":{"type":"numeric_atoms","value":1539,"base":4}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3014,"base":4},"right_expr":{"type":"numeric_atoms","value":5887,"base":4}}}}},"used_operators":["pRsWfj4Fpp","kuIXHzHcAH","Z5m6OM72h2","QDVgd2eftb","IwW236VD4Y","8N2wDY1A35","k1SHOSEABc","oacrs7FA3X"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","eH2TOUuTDT","rysDP5nf3Z","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=2284, right_input=2337, 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=1787","layer":4},{"info":"number node, value=1976","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=1976, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-3268","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3268, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=380","layer":2},{"info":"number node, value=1407","layer":4},{"info":"number node, value=1539","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1539, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=3014","layer":4},{"info":"number node, value=5887","layer":4},{"info":"compute binary expreesion, left_input=3014, right_input=5887, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5904","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5904, 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=380, right_input=nan, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"∡⪩⨒∯203230⊮⊟↴⪩⨒∯210201∘(⪩⨒∯123323≠≀⪩⨒∯132320)⪨⊡⪩⨒∯111333⨂≜⪩⨒∯120003≁(⪩⨒∯233012⪘⫢⪩⨒∯1123333)=NaN","reverse_text":"NaN=∡⪩⨒∯203230⊮⊟↴⪩⨒∯210201∘(⪩⨒∯123323≠≀⪩⨒∯132320)⪨⊡⪩⨒∯111333⨂≜⪩⨒∯120003≁(⪩⨒∯233012⪘⫢⪩⨒∯1123333)","cot":[{"info":"⪩⨒∯203230⊮⊟↴⪩⨒∯210201=⪩⨒∯0","layer":3},{"info":"⪩⨒∯123323≠≀⪩⨒∯132320=⪩⨒∯-303010","layer":3},{"info":"⪩⨒∯0∘⪩⨒∯-303010=⪩⨒∯11330","layer":2},{"info":"⪩⨒∯111333⨂≜⪩⨒∯120003=NaN","layer":3},{"info":"⪩⨒∯233012⪘⫢⪩⨒∯1123333=⪩⨒∯1130100","layer":3},{"info":"NaN≁⪩⨒∯1130100=NaN","layer":2},{"info":"⪩⨒∯11330⪨⊡NaN=NaN","layer":1},{"info":"∡NaN=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"(⇙⪊($8463$⋥≓≎$7061$)≌($5006$∷))⇍⊗($1853$⨼⩣$3663$⨽$7445$⪡$1616$∷)","expression":"(⇙⪊(⪩⨒∯2010033⋥≓≎⪩⨒∯1232111)≌(⪩⨒∯1032032∷))⇍⊗(⪩⨒∯130331⨼⩣⪩⨒∯321033⨽⪩⨒∯1310111⪡⪩⨒∯121100∷)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15601,"operation_count":9,"complexity_ratio":1733.4444444444443,"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":8463,"base":4},"right_expr":{"type":"numeric_atoms","value":7061,"base":4}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"numeric_atoms","value":5006,"base":4}}}},"right_expr":{"type":"unary","operator":"∷","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1853,"base":4},"right_expr":{"type":"numeric_atoms","value":3663,"base":4}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"numeric_atoms","value":7445,"base":4},"right_expr":{"type":"numeric_atoms","value":1616,"base":4}}}}},"used_operators":["5uvYHDjeKN","pB6Fcnrjim","lyWz822IDG","Qy55tPpLXF","nFAOW8KTqp","8HhzD0ZcuI","JxwMv5le6e","oraRL2iQuh"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","t8gj7n24qd","2DDjHMKMc0","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=8463","layer":4},{"info":"number node, value=7061","layer":4},{"info":"compute binary expreesion, left_input=8463, right_input=7061, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5692","layer":3},{"info":"number node, value=5006","layer":4},{"info":"compute unary expreesion, input=5006, op_id = nFAOW8KTqp, unary_op_definition = 'a∷ = { ((-(a⋝⋈⪟a))≦≮≮) }', output=15018","layer":3},{"info":"compute binary expreesion, left_input=5692, right_input=15018, 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 = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=1853","layer":4},{"info":"number node, value=3663","layer":4},{"info":"compute binary expreesion, left_input=1853, right_input=3663, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=7445","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=7445, right_input=1616, 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=nan, right_input=107, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', 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=nan, right_input=nan, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇙⪊(⪩⨒∯2010033⋥≓≎⪩⨒∯1232111)≌(⪩⨒∯1032032∷))⇍⊗(⪩⨒∯130331⨼⩣⪩⨒∯321033⨽⪩⨒∯1310111⪡⪩⨒∯121100∷)=NaN","reverse_text":"NaN=(⇙⪊(⪩⨒∯2010033⋥≓≎⪩⨒∯1232111)≌(⪩⨒∯1032032∷))⇍⊗(⪩⨒∯130331⨼⩣⪩⨒∯321033⨽⪩⨒∯1310111⪡⪩⨒∯121100∷)","cot":[{"info":"⪩⨒∯2010033⋥≓≎⪩⨒∯1232111=⪩⨒∯1120330","layer":3},{"info":"⪩⨒∯1032032∷=⪩⨒∯3222222","layer":3},{"info":"⪩⨒∯1120330≌⪩⨒∯3222222=NaN","layer":2},{"info":"⇙⪊NaN=NaN","layer":1},{"info":"⪩⨒∯130331⨼⩣⪩⨒∯321033=NaN","layer":3},{"info":"⪩⨒∯1310111⪡⪩⨒∯121100=⪩⨒∯1223","layer":3},{"info":"NaN⨽⪩⨒∯1223=NaN","layer":2},{"info":"NaN∷=NaN","layer":1},{"info":"NaN⇍⊗NaN=NaN","layer":0}]}
{"id":669,"expression_no_base_symbol":"(∡(≱⇩⩕$2887$⊋$8381$))⨑⩅≇(⫓⪴(↩⪖(⨞⊢$4999$)))","expression":"(∡(≱⇩⩕⪩⨒∯231013⊋⪩⨒∯2002331))⨑⩅≇(⫓⪴(↩⪖(⨞⊢⪩⨒∯1032013)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":81336,"operation_count":7,"complexity_ratio":11619.42857142857,"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":2887,"base":4},"right_expr":{"type":"numeric_atoms","value":8381,"base":4}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4999,"base":4}}}}},"used_operators":["h92wMvzauj","pRsWfj4Fpp","3DZMoQKiUl","W4tP9CfskL","eLxqMNBOBk","fG6uBQFnGz","xUOZtlo3hN"],"dependent_operators":["s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9HNa5Wba9A","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯32213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2887","layer":4},{"info":"number node, value=8381","layer":4},{"info":"compute binary expreesion, left_input=2887, right_input=8381, 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=-362233820","layer":3},{"info":"compute unary expreesion, input=-362233820, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":1},{"info":"number node, value=4999","layer":4},{"info":"compute unary expreesion, input=4999, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5173","layer":3},{"info":"compute unary expreesion, input=-5173, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=70228","layer":2},{"info":"compute unary expreesion, input=70228, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=inf, 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":0}],"base":4,"result_base":4,"text":"(∡(≱⇩⩕⪩⨒∯231013⊋⪩⨒∯2002331))⨑⩅≇(⫓⪴(↩⪖(⨞⊢⪩⨒∯1032013)))=⪩⨒∯32213","reverse_text":"⪩⨒∯32213=(∡(≱⇩⩕⪩⨒∯231013⊋⪩⨒∯2002331))⨑⩅≇(⫓⪴(↩⪖(⨞⊢⪩⨒∯1032013)))","cot":[{"info":"⪩⨒∯231013⊋⪩⨒∯2002331=⪩⨒∯-111211303333130","layer":3},{"info":"≱⇩⩕⪩⨒∯-111211303333130=Inf","layer":2},{"info":"∡Inf=NaN","layer":1},{"info":"⨞⊢⪩⨒∯1032013=⪩⨒∯-1100311","layer":3},{"info":"↩⪖⪩⨒∯-1100311=⪩⨒∯101021110","layer":2},{"info":"⫓⪴⪩⨒∯101021110=Inf","layer":1},{"info":"NaN⨑⩅≇Inf=⪩⨒∯32213","layer":0}]}
{"id":670,"expression_no_base_symbol":"((⨣⨃⇪$5006$)⊋(⋼∭⪍$3644$))⩣⫁∢($7129$↹⊜$2521$↳∿⪆($6378$⪥$7324$))⪭≯(⫎≠⋺(($6268$⩹$1036$)≭$2000$⩖⊿$1053$))","expression":"((⨣⨃⇪⪩⨒∯1032032)⊋(⋼∭⪍⪩⨒∯320330))⩣⫁∢(⪩⨒∯1233121↹⊜⪩⨒∯213121↳∿⪆(⪩⨒∯1203222⪥⪩⨒∯1302130))⪭≯(⫎≠⋺((⪩⨒∯1201330⩹⪩⨒∯100030)≭⪩⨒∯133100⩖⊿⪩⨒∯100131))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3364,"operation_count":12,"complexity_ratio":280.3333333333333,"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":5006,"base":4}},"right_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":3644,"base":4}}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":7129,"base":4},"right_expr":{"type":"numeric_atoms","value":2521,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":6378,"base":4},"right_expr":{"type":"numeric_atoms","value":7324,"base":4}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":6268,"base":4},"right_expr":{"type":"numeric_atoms","value":1036,"base":4}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2000,"base":4},"right_expr":{"type":"numeric_atoms","value":1053,"base":4}}}}},"used_operators":["XAx5wpdLa6","JDUIKTTSIa","W4tP9CfskL","AcOhelriW5","DbCuESL50I","Cw4SuJJGHO","9bazX3JMtO","QbnwKVWMIQ","LYeZOJ0nQG","rxpJgHHUmx","2Wsdkap16l","RZ5CV9rWsJ"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","s3Fd5m9Dh2","liw5iZPkLH","yyfyN0ffXY","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5006","layer":4},{"info":"compute unary expreesion, input=5006, op_id = AcOhelriW5, unary_op_definition = '⨣⨃⇪a = { (⨡↴(172⊬⨰(3↙a))) }', output=1405","layer":3},{"info":"number node, value=3644","layer":4},{"info":"compute unary expreesion, input=3644, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-12836","layer":3},{"info":"compute binary expreesion, left_input=1405, right_input=-12836, 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=-262174","layer":2},{"info":"number node, value=7129","layer":4},{"info":"number node, value=2521","layer":4},{"info":"compute binary expreesion, left_input=7129, right_input=2521, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=4078","layer":3},{"info":"number node, value=6378","layer":4},{"info":"number node, value=7324","layer":4},{"info":"compute binary expreesion, left_input=6378, right_input=7324, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=30164","layer":3},{"info":"compute binary expreesion, left_input=4078, right_input=30164, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-262174, right_input=nan, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=nan","layer":1},{"info":"number node, value=6268","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=6268, right_input=1036, 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=1034","layer":3},{"info":"number node, value=2000","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=1053, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=342","layer":3},{"info":"compute binary expreesion, left_input=1034, right_input=342, 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 = 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=nan, right_input=nan, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⨣⨃⇪⪩⨒∯1032032)⊋(⋼∭⪍⪩⨒∯320330))⩣⫁∢(⪩⨒∯1233121↹⊜⪩⨒∯213121↳∿⪆(⪩⨒∯1203222⪥⪩⨒∯1302130))⪭≯(⫎≠⋺((⪩⨒∯1201330⩹⪩⨒∯100030)≭⪩⨒∯133100⩖⊿⪩⨒∯100131))=NaN","reverse_text":"NaN=((⨣⨃⇪⪩⨒∯1032032)⊋(⋼∭⪍⪩⨒∯320330))⩣⫁∢(⪩⨒∯1233121↹⊜⪩⨒∯213121↳∿⪆(⪩⨒∯1203222⪥⪩⨒∯1302130))⪭≯(⫎≠⋺((⪩⨒∯1201330⩹⪩⨒∯100030)≭⪩⨒∯133100⩖⊿⪩⨒∯100131))","cot":[{"info":"⨣⨃⇪⪩⨒∯1032032=⪩⨒∯111331","layer":3},{"info":"⋼∭⪍⪩⨒∯320330=⪩⨒∯-3020210","layer":3},{"info":"⪩⨒∯111331⊋⪩⨒∯-3020210=⪩⨒∯-1000000132","layer":2},{"info":"⪩⨒∯1233121↹⊜⪩⨒∯213121=⪩⨒∯333232","layer":3},{"info":"⪩⨒∯1203222⪥⪩⨒∯1302130=⪩⨒∯13113110","layer":3},{"info":"⪩⨒∯333232↳∿⪆⪩⨒∯13113110=NaN","layer":2},{"info":"⪩⨒∯-1000000132⩣⫁∢NaN=NaN","layer":1},{"info":"⪩⨒∯1201330⩹⪩⨒∯100030=⪩⨒∯100022","layer":3},{"info":"⪩⨒∯133100⩖⊿⪩⨒∯100131=⪩⨒∯11112","layer":3},{"info":"⪩⨒∯100022≭⪩⨒∯11112=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"NaN⪭≯NaN=NaN","layer":0}]}
{"id":671,"expression_no_base_symbol":"⨭⩧⫛((⇁⨣⪵$1321$≴⪞⇿$3946$)⫚↹⊑(⊽$1018$)⊬⨰(⩦⩻⨪$6510$))","expression":"⨭⩧⫛((⇁⨣⪵⪩⨒∯110221≴⪞⇿⪩⨒∯331222)⫚↹⊑(⊽⪩⨒∯33322)⊬⨰(⩦⩻⨪⪩⨒∯1211232))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":200940,"operation_count":7,"complexity_ratio":28705.714285714286,"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":1321,"base":4},"right_expr":{"type":"numeric_atoms","value":3946,"base":4}}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":1018,"base":4}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6510,"base":4}}}}},"used_operators":["g21JL6JxX7","dfKe02y8D2","inkyxCbjAn","lvlrscuwVU","s3Fd5m9Dh2","QxG7OkqoLX","2td37pGCOC"],"dependent_operators":["Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","B5M0gjZbta","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1321","layer":4},{"info":"number node, value=3946","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=3946, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=2196842","layer":3},{"info":"compute unary expreesion, input=2196842, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1018","layer":4},{"info":"compute unary expreesion, input=1018, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=3558","layer":3},{"info":"number node, value=6510","layer":4},{"info":"compute unary expreesion, input=6510, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6510","layer":3},{"info":"compute binary expreesion, left_input=3558, right_input=6510, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=28542","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=28542, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"compute unary expreesion, input=-447, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⨭⩧⫛((⇁⨣⪵⪩⨒∯110221≴⪞⇿⪩⨒∯331222)⫚↹⊑(⊽⪩⨒∯33322)⊬⨰(⩦⩻⨪⪩⨒∯1211232))=NaN","reverse_text":"NaN=⨭⩧⫛((⇁⨣⪵⪩⨒∯110221≴⪞⇿⪩⨒∯331222)⫚↹⊑(⊽⪩⨒∯33322)⊬⨰(⩦⩻⨪⪩⨒∯1211232))","cot":[{"info":"⪩⨒∯110221≴⪞⇿⪩⨒∯331222=⪩⨒∯20120111222","layer":3},{"info":"⇁⨣⪵⪩⨒∯20120111222=NaN","layer":2},{"info":"⊽⪩⨒∯33322=⪩⨒∯313212","layer":3},{"info":"⩦⩻⨪⪩⨒∯1211232=⪩⨒∯1211232","layer":3},{"info":"⪩⨒∯313212⊬⨰⪩⨒∯1211232=⪩⨒∯12331332","layer":2},{"info":"NaN⫚↹⊑⪩⨒∯12331332=⪩⨒∯-12333","layer":1},{"info":"⨭⩧⫛⪩⨒∯-12333=NaN","layer":0}]}
{"id":672,"expression_no_base_symbol":"((⇋↷$1621$)⪢$1358$⨔⇊$5900$≒∊(⨰⫟⨤$2742$)∊∟⩊($2136$⩧⪆$7182$))≌($6334$⇤$3367$⋓($2260$⨭⪣$3617$)/((≸≮$5392$)⪷))","expression":"((⇋↷⪩⨒∯121111)⪢⪩⨒∯111032⨔⇊⪩⨒∯1130030≒∊(⨰⫟⨤⪩⨒∯222312)∊∟⩊(⪩⨒∯201120⩧⪆⪩⨒∯1300032))≌(⪩⨒∯1202332⇤⪩⨒∯310213⋓(⪩⨒∯203110⨭⪣⪩⨒∯320201)/((≸≮⪩⨒∯1110100)⪷))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":28717,"operation_count":14,"complexity_ratio":2051.214285714286,"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":1621,"base":4}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":1358,"base":4},"right_expr":{"type":"numeric_atoms","value":5900,"base":4}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2742,"base":4}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2136,"base":4},"right_expr":{"type":"numeric_atoms","value":7182,"base":4}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":6334,"base":4},"right_expr":{"type":"numeric_atoms","value":3367,"base":4}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":2260,"base":4},"right_expr":{"type":"numeric_atoms","value":3617,"base":4}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":5392,"base":4}}}}},"used_operators":["lyWz822IDG","5KTvxBwnZo","dWAJyo7jo9","SWo3A1KBJH","JclMnS0uGI","ddLRYrp01A","Tw270M8GLb","Ikt5ks8PT7","XhwjNDsVaA","T2fj7uvVaJ","YSKBFp38Pu","kn8WO9XteQ","Qctrpi3WzA","AljMvE3RRm"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","k8jYdgA6NY","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","Nsiff2A1zJ","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":4},{"info":"compute unary expreesion, input=1621, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=12968","layer":3},{"info":"number node, value=1358","layer":4},{"info":"number node, value=5900","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=5900, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5900","layer":3},{"info":"compute binary expreesion, left_input=12968, right_input=5900, 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=2742","layer":4},{"info":"compute unary expreesion, input=2742, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2136","layer":4},{"info":"number node, value=7182","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=7182, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7182","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7182, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-7182","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7182, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":1},{"info":"number node, value=6334","layer":4},{"info":"number node, value=3367","layer":4},{"info":"compute binary expreesion, left_input=6334, right_input=3367, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-45657","layer":3},{"info":"number node, value=2260","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=3617, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=981","layer":3},{"info":"compute binary expreesion, left_input=-45657, right_input=981, 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=5392","layer":4},{"info":"compute unary expreesion, input=5392, 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 = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":4,"result_base":4,"text":"((⇋↷⪩⨒∯121111)⪢⪩⨒∯111032⨔⇊⪩⨒∯1130030≒∊(⨰⫟⨤⪩⨒∯222312)∊∟⩊(⪩⨒∯201120⩧⪆⪩⨒∯1300032))≌(⪩⨒∯1202332⇤⪩⨒∯310213⋓(⪩⨒∯203110⨭⪣⪩⨒∯320201)/((≸≮⪩⨒∯1110100)⪷))=NaN","reverse_text":"NaN=((⇋↷⪩⨒∯121111)⪢⪩⨒∯111032⨔⇊⪩⨒∯1130030≒∊(⨰⫟⨤⪩⨒∯222312)∊∟⩊(⪩⨒∯201120⩧⪆⪩⨒∯1300032))≌(⪩⨒∯1202332⇤⪩⨒∯310213⋓(⪩⨒∯203110⨭⪣⪩⨒∯320201)/((≸≮⪩⨒∯1110100)⪷))","cot":[{"info":"⇋↷⪩⨒∯121111=⪩⨒∯3022220","layer":3},{"info":"⪩⨒∯111032⨔⇊⪩⨒∯1130030=⪩⨒∯1130030","layer":3},{"info":"⪩⨒∯3022220⪢⪩⨒∯1130030=NaN","layer":2},{"info":"⨰⫟⨤⪩⨒∯222312=NaN","layer":3},{"info":"⪩⨒∯201120⩧⪆⪩⨒∯1300032=⪩⨒∯-1300032","layer":3},{"info":"NaN∊∟⩊⪩⨒∯-1300032=⪩⨒∯-1300032","layer":2},{"info":"NaN≒∊⪩⨒∯-1300032=NaN","layer":1},{"info":"⪩⨒∯1202332⇤⪩⨒∯310213=⪩⨒∯-23021121","layer":3},{"info":"⪩⨒∯203110⨭⪣⪩⨒∯320201=⪩⨒∯33111","layer":3},{"info":"⪩⨒∯-23021121⋓⪩⨒∯33111=⪩⨒∯0","layer":2},{"info":"≸≮⪩⨒∯1110100=NaN","layer":3},{"info":"NaN⪷=NaN","layer":2},{"info":"⪩⨒∯0/NaN=NaN","layer":1},{"info":"NaN≌NaN=NaN","layer":0}]}
{"id":673,"expression_no_base_symbol":"((↪⫪⫘($1255$⫏⊷))≀⩗∶($1499$⫲≸⪮$1096$)⇷(⨰⫟⨤$1823$))⊉↱≁(⨮↦↱($1623$≥⨤⩑$1078$))∓⋝(⩒∊$1353$⩌⋺$2327$)","expression":"((↪⫪⫘(⪩⨒∯103213⫏⊷))≀⩗∶(⪩⨒∯113123⫲≸⪮⪩⨒∯101020)⇷(⨰⫟⨤⪩⨒∯130133))⊉↱≁(⨮↦↱(⪩⨒∯121113≥⨤⩑⪩⨒∯100312))∓⋝(⩒∊⪩⨒∯111021⩌⋺⪩⨒∯210113)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33866,"operation_count":12,"complexity_ratio":2822.1666666666665,"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":1255,"base":4}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":1499,"base":4},"right_expr":{"type":"numeric_atoms","value":1096,"base":4}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1823,"base":4}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":1623,"base":4},"right_expr":{"type":"numeric_atoms","value":1078,"base":4}}},"right_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1353,"base":4},"right_expr":{"type":"numeric_atoms","value":2327,"base":4}}}}},"used_operators":["w2P8NbNXyL","8INZBEW696","9dWsAM3GFt","dcShxvzhyw","mp7IySMOzn","P3lXMJvFrc","Tw270M8GLb","PoHhknlbAi","sYcpBQ0cFf","gJLn6v0xnP","qazvmhNBbN","g7Hmc5v1ko"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=-820","layer":3},{"info":"compute unary expreesion, input=-820, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":2},{"info":"number node, value=1499","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=1096, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=1499","layer":3},{"info":"number node, value=1823","layer":4},{"info":"compute unary expreesion, input=1823, 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=1499, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":1},{"info":"number node, value=1623","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=1078, 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 = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-1636146","layer":2},{"info":"number node, value=1353","layer":4},{"info":"number node, value=2327","layer":4},{"info":"compute binary expreesion, left_input=1353, right_input=2327, 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=-3801","layer":3},{"info":"compute unary expreesion, input=-3801, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-12676","layer":2},{"info":"compute binary expreesion, left_input=-1636146, right_input=-12676, 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 = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((↪⫪⫘(⪩⨒∯103213⫏⊷))≀⩗∶(⪩⨒∯113123⫲≸⪮⪩⨒∯101020)⇷(⨰⫟⨤⪩⨒∯130133))⊉↱≁(⨮↦↱(⪩⨒∯121113≥⨤⩑⪩⨒∯100312))∓⋝(⩒∊⪩⨒∯111021⩌⋺⪩⨒∯210113)=NaN","reverse_text":"NaN=((↪⫪⫘(⪩⨒∯103213⫏⊷))≀⩗∶(⪩⨒∯113123⫲≸⪮⪩⨒∯101020)⇷(⨰⫟⨤⪩⨒∯130133))⊉↱≁(⨮↦↱(⪩⨒∯121113≥⨤⩑⪩⨒∯100312))∓⋝(⩒∊⪩⨒∯111021⩌⋺⪩⨒∯210113)","cot":[{"info":"⪩⨒∯103213⫏⊷=⪩⨒∯-30310","layer":3},{"info":"↪⫪⫘⪩⨒∯-30310=⪩⨒∯110","layer":2},{"info":"⪩⨒∯113123⫲≸⪮⪩⨒∯101020=⪩⨒∯113123","layer":3},{"info":"⨰⫟⨤⪩⨒∯130133=NaN","layer":3},{"info":"⪩⨒∯113123⇷NaN=NaN","layer":2},{"info":"⪩⨒∯110≀⩗∶NaN=NaN","layer":1},{"info":"⪩⨒∯121113≥⨤⩑⪩⨒∯100312=⪩⨒∯103102","layer":3},{"info":"⨮↦↱⪩⨒∯103102=⪩⨒∯-12033130302","layer":2},{"info":"⪩⨒∯111021⩌⋺⪩⨒∯210113=⪩⨒∯-323121","layer":3},{"info":"⩒∊⪩⨒∯-323121=⪩⨒∯-3012010","layer":2},{"info":"⪩⨒∯-12033130302∓⋝⪩⨒∯-3012010=⪩⨒∯1003","layer":1},{"info":"NaN⊉↱≁⪩⨒∯1003=NaN","layer":0}]}
{"id":674,"expression_no_base_symbol":"((⩪∧⨌($2126$⫦⪉$4350$))≚⋢)⪘⫢(($4242$⋐⇩⊬)⪍↜⋙($3425$⊍⩺⋍$3509$)⪨≂($3953$⪭≯$4223$)⊲⩕⊾($4626$⫃⨇$1215$))","expression":"((⩪∧⨌(⪩⨒∯201032⫦⪉⪩⨒∯1003332))≚⋢)⪘⫢((⪩⨒∯1002102⋐⇩⊬)⪍↜⋙(⪩⨒∯311201⊍⩺⋍⪩⨒∯312311)⪨≂(⪩⨒∯331301⪭≯⪩⨒∯1001333)⊲⩕⊾(⪩⨒∯1020102⫃⨇⪩⨒∯102333))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":586,"operation_count":11,"complexity_ratio":53.27272727272727,"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":4},"right_expr":{"type":"numeric_atoms","value":4350,"base":4}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":4242,"base":4}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":3425,"base":4},"right_expr":{"type":"numeric_atoms","value":3509,"base":4}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3953,"base":4},"right_expr":{"type":"numeric_atoms","value":4223,"base":4}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":4626,"base":4},"right_expr":{"type":"numeric_atoms","value":1215,"base":4}}}}},"used_operators":["oacrs7FA3X","MahUMFw56D","6iOiAJX1F8","wscyQdcy20","sdazOOVcIp","L05ObWFQCd","JuuLT1NoCs","OXDGMFPWZM","DmTXOeWf9t","XAx5wpdLa6","09Ly4LVMIf"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2126","layer":4},{"info":"number node, value=4350","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=4350, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=648","layer":3},{"info":"compute unary expreesion, input=648, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=6480","layer":2},{"info":"compute unary expreesion, input=6480, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":1},{"info":"number node, value=4242","layer":4},{"info":"compute unary expreesion, input=4242, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=4242","layer":3},{"info":"number node, value=3425","layer":4},{"info":"number node, value=3509","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=3509, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4242, 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":"number node, value=3953","layer":4},{"info":"number node, value=4223","layer":4},{"info":"compute binary expreesion, left_input=3953, right_input=4223, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=4626","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=4626, right_input=1215, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-4892","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4892, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-89, 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":4,"result_base":4,"text":"((⩪∧⨌(⪩⨒∯201032⫦⪉⪩⨒∯1003332))≚⋢)⪘⫢((⪩⨒∯1002102⋐⇩⊬)⪍↜⋙(⪩⨒∯311201⊍⩺⋍⪩⨒∯312311)⪨≂(⪩⨒∯331301⪭≯⪩⨒∯1001333)⊲⩕⊾(⪩⨒∯1020102⫃⨇⪩⨒∯102333))=NaN","reverse_text":"NaN=((⩪∧⨌(⪩⨒∯201032⫦⪉⪩⨒∯1003332))≚⋢)⪘⫢((⪩⨒∯1002102⋐⇩⊬)⪍↜⋙(⪩⨒∯311201⊍⩺⋍⪩⨒∯312311)⪨≂(⪩⨒∯331301⪭≯⪩⨒∯1001333)⊲⩕⊾(⪩⨒∯1020102⫃⨇⪩⨒∯102333))","cot":[{"info":"⪩⨒∯201032⫦⪉⪩⨒∯1003332=⪩⨒∯22020","layer":3},{"info":"⩪∧⨌⪩⨒∯22020=⪩⨒∯1211100","layer":2},{"info":"⪩⨒∯1211100≚⋢=⪩⨒∯-1121","layer":1},{"info":"⪩⨒∯1002102⋐⇩⊬=⪩⨒∯1002102","layer":3},{"info":"⪩⨒∯311201⊍⩺⋍⪩⨒∯312311=NaN","layer":3},{"info":"⪩⨒∯1002102⪍↜⋙NaN=NaN","layer":2},{"info":"⪩⨒∯331301⪭≯⪩⨒∯1001333=NaN","layer":3},{"info":"⪩⨒∯1020102⫃⨇⪩⨒∯102333=⪩⨒∯-1030130","layer":3},{"info":"NaN⊲⩕⊾⪩⨒∯-1030130=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"⪩⨒∯-1121⪘⫢NaN=NaN","layer":0}]}
{"id":675,"expression_no_base_symbol":"(((↨$2167$)⇮⋭$3116$⋭≵$2027$)⫢⨠((⇤←$2780$)⊾⪯⋞$2430$⫣⪄⊒$1982$))∴(≻⋜((⇖$2799$)≒∊($2185$⫚⫇)))","expression":"(((↨⪩⨒∯201313)⇮⋭⪩⨒∯300230⋭≵⪩⨒∯133223)⫢⨠((⇤←⪩⨒∯223130)⊾⪯⋞⪩⨒∯211332⫣⪄⊒⪩⨒∯132332))∴(≻⋜((⇖⪩⨒∯223233)≒∊(⪩⨒∯202021⫚⫇)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2082,"operation_count":12,"complexity_ratio":173.5,"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":2167,"base":4}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":3116,"base":4},"right_expr":{"type":"numeric_atoms","value":2027,"base":4}}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":2780,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2430,"base":4},"right_expr":{"type":"numeric_atoms","value":1982,"base":4}}}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":2799,"base":4}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":2185,"base":4}}}}},"used_operators":["hrf7POJlIJ","xlXykHWxX1","vkpjKywKVM","jiX4gk2v2Q","jBncVCNhdl","HK0tfVPux8","jfAgQ2OQeM","RabNbG55vr","3tj9sqzovi","5KTvxBwnZo","tfWHHpNKUN","SdCjLnB6rR"],"dependent_operators":["g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","rGHVDoGpnC","oZj3VtZNQx","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","2DQ55sFlQl","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC"],"result":"⪩⨒∯132300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2167","layer":4},{"info":"compute unary expreesion, input=2167, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"number node, value=3116","layer":4},{"info":"number node, value=2027","layer":4},{"info":"compute binary expreesion, left_input=3116, right_input=2027, 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 = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=52059","layer":2},{"info":"number node, value=2780","layer":4},{"info":"compute unary expreesion, input=2780, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-12534","layer":3},{"info":"number node, value=2430","layer":4},{"info":"number node, value=1982","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=1982, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7544","layer":3},{"info":"compute binary expreesion, left_input=-12534, right_input=-7544, 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 binary expreesion, left_input=52059, right_input=-820, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":1},{"info":"number node, value=2799","layer":4},{"info":"compute unary expreesion, input=2799, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=2185","layer":4},{"info":"compute unary expreesion, input=2185, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=2902","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2902, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=324","layer":2},{"info":"compute unary expreesion, input=324, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1968","layer":0}],"base":4,"result_base":4,"text":"(((↨⪩⨒∯201313)⇮⋭⪩⨒∯300230⋭≵⪩⨒∯133223)⫢⨠((⇤←⪩⨒∯223130)⊾⪯⋞⪩⨒∯211332⫣⪄⊒⪩⨒∯132332))∴(≻⋜((⇖⪩⨒∯223233)≒∊(⪩⨒∯202021⫚⫇)))=⪩⨒∯132300","reverse_text":"⪩⨒∯132300=(((↨⪩⨒∯201313)⇮⋭⪩⨒∯300230⋭≵⪩⨒∯133223)⫢⨠((⇤←⪩⨒∯223130)⊾⪯⋞⪩⨒∯211332⫣⪄⊒⪩⨒∯132332))∴(≻⋜((⇖⪩⨒∯223233)≒∊(⪩⨒∯202021⫚⫇)))","cot":[{"info":"↨⪩⨒∯201313=NaN","layer":3},{"info":"⪩⨒∯300230⋭≵⪩⨒∯133223=⪩⨒∯1003","layer":3},{"info":"NaN⇮⋭⪩⨒∯1003=⪩⨒∯30231123","layer":2},{"info":"⇤←⪩⨒∯223130=⪩⨒∯-3003312","layer":3},{"info":"⪩⨒∯211332⫣⪄⊒⪩⨒∯132332=⪩⨒∯-1311320","layer":3},{"info":"⪩⨒∯-3003312⊾⪯⋞⪩⨒∯-1311320=⪩⨒∯-30310","layer":2},{"info":"⪩⨒∯30231123⫢⨠⪩⨒∯-30310=⪩⨒∯2200","layer":1},{"info":"⇖⪩⨒∯223233=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯202021⫚⫇=⪩⨒∯231112","layer":3},{"info":"⪩⨒∯2200≒∊⪩⨒∯231112=⪩⨒∯11010","layer":2},{"info":"≻⋜⪩⨒∯11010=NaN","layer":1},{"info":"⪩⨒∯2200∴NaN=⪩⨒∯132300","layer":0}]}
{"id":676,"expression_no_base_symbol":"($5455$≁$4391$)⊮⊟↴($1842$∀⇚≩$1597$)⪛(≯($2801$⫩))≦≮≮","expression":"(⪩⨒∯1111033≁⪩⨒∯1010213)⊮⊟↴(⪩⨒∯130302∀⇚≩⪩⨒∯120331)⪛(≯(⪩⨒∯223301⫩))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":15822,"operation_count":7,"complexity_ratio":2260.285714285714,"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":5455,"base":4},"right_expr":{"type":"numeric_atoms","value":4391,"base":4}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1842,"base":4},"right_expr":{"type":"numeric_atoms","value":1597,"base":4}}},"right_expr":{"type":"unary","operator":"≯","unary_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":2801,"base":4}}}}},"used_operators":["D4vGDi5EA2","uFcxV4UQCh","QDVgd2eftb","8N2wDY1A35","LRNGc0VcxI","keWfFq85dY","6aG7x05OhS"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","X99M06cbEe","g55IO6H4Gj","JLbD19bQDL","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5455","layer":4},{"info":"number node, value=4391","layer":4},{"info":"compute binary expreesion, left_input=5455, right_input=4391, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=92183","layer":3},{"info":"number node, value=1842","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=1842, right_input=1597, 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=92183, 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":"number node, value=2801","layer":4},{"info":"compute unary expreesion, input=2801, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', 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=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":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1111033≁⪩⨒∯1010213)⊮⊟↴(⪩⨒∯130302∀⇚≩⪩⨒∯120331)⪛(≯(⪩⨒∯223301⫩))≦≮≮=NaN","reverse_text":"NaN=(⪩⨒∯1111033≁⪩⨒∯1010213)⊮⊟↴(⪩⨒∯130302∀⇚≩⪩⨒∯120331)⪛(≯(⪩⨒∯223301⫩))≦≮≮","cot":[{"info":"⪩⨒∯1111033≁⪩⨒∯1010213=⪩⨒∯112200113","layer":3},{"info":"⪩⨒∯130302∀⇚≩⪩⨒∯120331=NaN","layer":3},{"info":"⪩⨒∯112200113⊮⊟↴NaN=NaN","layer":2},{"info":"⪩⨒∯223301⫩=NaN","layer":3},{"info":"≯NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":677,"expression_no_base_symbol":"(≋($2704$↞⋁$5985$↑))⩁⩘(($1364$≃$3441$⫦⪉(≸$1736$))⇣⩺⋵(($2329$∖$1573$)⩷∴$1791$⋾⨃∁$2509$))","expression":"(≋(⪩⨒∯222100↞⋁⪩⨒∯1131201↑))⩁⩘((⪩⨒∯111110≃⪩⨒∯311301⫦⪉(≸⪩⨒∯123020))⇣⩺⋵((⪩⨒∯210121∖⪩⨒∯120211)⩷∴⪩⨒∯123333⋾⨃∁⪩⨒∯213031))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3217,"operation_count":11,"complexity_ratio":292.45454545454544,"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":2704,"base":4},"right_expr":{"type":"numeric_atoms","value":5985,"base":4}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1364,"base":4},"right_expr":{"type":"numeric_atoms","value":3441,"base":4}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"numeric_atoms","value":1736,"base":4}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":2329,"base":4},"right_expr":{"type":"numeric_atoms","value":1573,"base":4}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1791,"base":4},"right_expr":{"type":"numeric_atoms","value":2509,"base":4}}}}},"used_operators":["gub5Cegaqo","61wBmkZwlr","BThhyOhh10","RqrPlJkxDo","F4yD0voBRQ","wscyQdcy20","YbVcJGFEVW","eOf03JbCpp","9FxExcQeMw","tXD093vOjl","212REbPD9h"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","7j4O788W3g","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","rysDP5nf3Z","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2704","layer":4},{"info":"number node, value=5985","layer":4},{"info":"compute binary expreesion, left_input=2704, right_input=5985, 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 = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', 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=1364","layer":4},{"info":"number node, value=3441","layer":4},{"info":"compute binary expreesion, left_input=1364, right_input=3441, 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=-5496","layer":3},{"info":"number node, value=1736","layer":4},{"info":"compute unary expreesion, input=1736, 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=-5496, right_input=58, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=14830","layer":2},{"info":"number node, value=2329","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2329, right_input=1573, 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=1791","layer":4},{"info":"number node, value=2509","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=2509, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=62920608","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=62920608, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-125841248","layer":2},{"info":"compute binary expreesion, left_input=14830, right_input=-125841248, 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 = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(≋(⪩⨒∯222100↞⋁⪩⨒∯1131201↑))⩁⩘((⪩⨒∯111110≃⪩⨒∯311301⫦⪉(≸⪩⨒∯123020))⇣⩺⋵((⪩⨒∯210121∖⪩⨒∯120211)⩷∴⪩⨒∯123333⋾⨃∁⪩⨒∯213031))=NaN","reverse_text":"NaN=(≋(⪩⨒∯222100↞⋁⪩⨒∯1131201↑))⩁⩘((⪩⨒∯111110≃⪩⨒∯311301⫦⪉(≸⪩⨒∯123020))⇣⩺⋵((⪩⨒∯210121∖⪩⨒∯120211)⩷∴⪩⨒∯123333⋾⨃∁⪩⨒∯213031))","cot":[{"info":"⪩⨒∯222100↞⋁⪩⨒∯1131201=NaN","layer":3},{"info":"NaN↑=NaN","layer":2},{"info":"≋NaN=NaN","layer":1},{"info":"⪩⨒∯111110≃⪩⨒∯311301=⪩⨒∯-1111320","layer":3},{"info":"≸⪩⨒∯123020=⪩⨒∯322","layer":3},{"info":"⪩⨒∯-1111320⫦⪉⪩⨒∯322=⪩⨒∯3213232","layer":2},{"info":"⪩⨒∯210121∖⪩⨒∯120211=⪩⨒∯0","layer":3},{"info":"⪩⨒∯123333⋾⨃∁⪩⨒∯213031=⪩⨒∯3300001132200","layer":3},{"info":"⪩⨒∯0⩷∴⪩⨒∯3300001132200=⪩⨒∯-13200002331200","layer":2},{"info":"⪩⨒∯3213232⇣⩺⋵⪩⨒∯-13200002331200=⪩⨒∯-10010","layer":1},{"info":"NaN⩁⩘⪩⨒∯-10010=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"≘((+⊝⨔$1100$)⫒⫫($6628$≬⋮$1207$)≀⩗∶($2561$⪗)↺($1766$≀⩗∶$1058$))","expression":"≘((+⊝⨔⪩⨒∯101030)⫒⫫(⪩⨒∯1213210≬⋮⪩⨒∯102313)≀⩗∶(⪩⨒∯220001⪗)↺(⪩⨒∯123212≀⩗∶⪩⨒∯100202))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2699,"operation_count":8,"complexity_ratio":337.375,"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":1100,"base":4}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":6628,"base":4},"right_expr":{"type":"numeric_atoms","value":1207,"base":4}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"numeric_atoms","value":2561,"base":4}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1766,"base":4},"right_expr":{"type":"numeric_atoms","value":1058,"base":4}}}}},"used_operators":["tcjXMdvYtA","8INZBEW696","6Ko8hGgeMq","DhbWaqg5eL","kbkesczE7y","7j4O788W3g","VEQNXA0ZBg"],"dependent_operators":["XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1100","layer":4},{"info":"compute unary expreesion, input=1100, 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=6628","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=6628, right_input=1207, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=868, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=2561","layer":4},{"info":"compute unary expreesion, input=2561, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=1766","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=1766, right_input=1058, 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 = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , 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":4,"result_base":4,"text":"≘((+⊝⨔⪩⨒∯101030)⫒⫫(⪩⨒∯1213210≬⋮⪩⨒∯102313)≀⩗∶(⪩⨒∯220001⪗)↺(⪩⨒∯123212≀⩗∶⪩⨒∯100202))=NaN","reverse_text":"NaN=≘((+⊝⨔⪩⨒∯101030)⫒⫫(⪩⨒∯1213210≬⋮⪩⨒∯102313)≀⩗∶(⪩⨒∯220001⪗)↺(⪩⨒∯123212≀⩗∶⪩⨒∯100202))","cot":[{"info":"+⊝⨔⪩⨒∯101030=⪩⨒∯113302","layer":3},{"info":"⪩⨒∯1213210≬⋮⪩⨒∯102313=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯113302⫒⫫⪩⨒∯31210=NaN","layer":2},{"info":"⪩⨒∯220001⪗=NaN","layer":3},{"info":"⪩⨒∯123212≀⩗∶⪩⨒∯100202=⪩⨒∯0","layer":3},{"info":"NaN↺⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"NaN≀⩗∶⪩⨒∯0=NaN","layer":1},{"info":"≘NaN=NaN","layer":0}]}
{"id":679,"expression_no_base_symbol":"((∨∊⋏($1095$⊍))∪⫐($4049$≭$3140$)∘($3005$⫥∨⫟$4153$))⫔⩽⩺($3970$⪍↜⋙$8390$⩨($1737$↸$2543$))↓(($2889$⨑≵⋬$5305$)⫲≸⪮($6556$⋅⇍$3407$))","expression":"((∨∊⋏(⪩⨒∯101013⊍))∪⫐(⪩⨒∯333101≭⪩⨒∯301010)∘(⪩⨒∯232331⫥∨⫟⪩⨒∯1000321))⫔⩽⩺(⪩⨒∯332002⪍↜⋙⪩⨒∯2003012⩨(⪩⨒∯123021↸⪩⨒∯213233))↓((⪩⨒∯231021⨑≵⋬⪩⨒∯1102321)⫲≸⪮(⪩⨒∯1212130⋅⇍⪩⨒∯311033))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":342167,"operation_count":14,"complexity_ratio":24440.5,"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":1095,"base":4}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4049,"base":4},"right_expr":{"type":"numeric_atoms","value":3140,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3005,"base":4},"right_expr":{"type":"numeric_atoms","value":4153,"base":4}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"numeric_atoms","value":3970,"base":4},"right_expr":{"type":"numeric_atoms","value":8390,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1737,"base":4},"right_expr":{"type":"numeric_atoms","value":2543,"base":4}}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2889,"base":4},"right_expr":{"type":"numeric_atoms","value":5305,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":6556,"base":4},"right_expr":{"type":"numeric_atoms","value":3407,"base":4}}}}},"used_operators":["i9eR4S00cU","7YooWSwCyH","R5aXW34M0v","3nqY3DE9mg","Z5m6OM72h2","rxpJgHHUmx","KYD54nUTWz","Af076pWI7l","2DlMacCsIx","L05ObWFQCd","1eCjFl0mb9","P3lXMJvFrc","XnXgA4xnOs","AdZkA7nFnk"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","rJVOvQCfKK","2DDjHMKMc0","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","8w2t5hMYqp","AF7qkfDlqP","12rbrZMWeM","eH2TOUuTDT","rysDP5nf3Z","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = 3nqY3DE9mg, unary_op_definition = 'a⊍ = { (⊄⩳↩(⨑⩽⪐(a⋳⪒a))) }', output=1605","layer":3},{"info":"compute unary expreesion, input=1605, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=25319","layer":2},{"info":"number node, value=4049","layer":4},{"info":"number node, value=3140","layer":4},{"info":"compute binary expreesion, left_input=4049, right_input=3140, 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=3005","layer":4},{"info":"number node, value=4153","layer":4},{"info":"compute binary expreesion, left_input=3005, right_input=4153, 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 = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=25319, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=25319","layer":1},{"info":"number node, value=3970","layer":4},{"info":"number node, value=8390","layer":4},{"info":"compute binary expreesion, left_input=3970, right_input=8390, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-37413","layer":3},{"info":"number node, value=1737","layer":4},{"info":"number node, value=2543","layer":4},{"info":"compute binary expreesion, left_input=1737, right_input=2543, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1737","layer":3},{"info":"compute binary expreesion, left_input=-37413, right_input=1737, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=2889","layer":4},{"info":"number node, value=5305","layer":4},{"info":"compute binary expreesion, left_input=2889, right_input=5305, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-21311","layer":3},{"info":"number node, value=6556","layer":4},{"info":"number node, value=3407","layer":4},{"info":"compute binary expreesion, left_input=6556, right_input=3407, 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=-21311, right_input=-22, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=21311","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=21311, 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=25319, right_input=-134, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((∨∊⋏(⪩⨒∯101013⊍))∪⫐(⪩⨒∯333101≭⪩⨒∯301010)∘(⪩⨒∯232331⫥∨⫟⪩⨒∯1000321))⫔⩽⩺(⪩⨒∯332002⪍↜⋙⪩⨒∯2003012⩨(⪩⨒∯123021↸⪩⨒∯213233))↓((⪩⨒∯231021⨑≵⋬⪩⨒∯1102321)⫲≸⪮(⪩⨒∯1212130⋅⇍⪩⨒∯311033))=NaN","reverse_text":"NaN=((∨∊⋏(⪩⨒∯101013⊍))∪⫐(⪩⨒∯333101≭⪩⨒∯301010)∘(⪩⨒∯232331⫥∨⫟⪩⨒∯1000321))⫔⩽⩺(⪩⨒∯332002⪍↜⋙⪩⨒∯2003012⩨(⪩⨒∯123021↸⪩⨒∯213233))↓((⪩⨒∯231021⨑≵⋬⪩⨒∯1102321)⫲≸⪮(⪩⨒∯1212130⋅⇍⪩⨒∯311033))","cot":[{"info":"⪩⨒∯101013⊍=⪩⨒∯121011","layer":3},{"info":"∨∊⋏⪩⨒∯121011=⪩⨒∯12023213","layer":2},{"info":"⪩⨒∯333101≭⪩⨒∯301010=NaN","layer":3},{"info":"⪩⨒∯232331⫥∨⫟⪩⨒∯1000321=NaN","layer":3},{"info":"NaN∘NaN=NaN","layer":2},{"info":"⪩⨒∯12023213∪⫐NaN=⪩⨒∯12023213","layer":1},{"info":"⪩⨒∯332002⪍↜⋙⪩⨒∯2003012=⪩⨒∯-21020211","layer":3},{"info":"⪩⨒∯123021↸⪩⨒∯213233=⪩⨒∯123021","layer":3},{"info":"⪩⨒∯-21020211⩨⪩⨒∯123021=⪩⨒∯3","layer":2},{"info":"⪩⨒∯231021⨑≵⋬⪩⨒∯1102321=⪩⨒∯-11030333","layer":3},{"info":"⪩⨒∯1212130⋅⇍⪩⨒∯311033=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯-11030333⫲≸⪮⪩⨒∯-112=⪩⨒∯11030333","layer":2},{"info":"⪩⨒∯3↓⪩⨒∯11030333=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯12023213⫔⩽⩺⪩⨒∯-2012=NaN","layer":0}]}
{"id":680,"expression_no_base_symbol":"((⫓⪴(⨝⨆$1377$))⋥≓≎($4243$⇄$1332$)⨂≜($2985$⫻⋑⊟))⨼⩣(($2719$⪟⇏$1535$⋭≵($1873$∽$2959$))↦)","expression":"((⫓⪴(⨝⨆⪩⨒∯111201))⋥≓≎(⪩⨒∯1002103⇄⪩⨒∯110310)⨂≜(⪩⨒∯232221⫻⋑⊟))⨼⩣((⪩⨒∯222133⪟⇏⪩⨒∯113333⋭≵(⪩⨒∯131101∽⪩⨒∯232033))↦)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2959,"operation_count":11,"complexity_ratio":269.0,"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":1377,"base":4}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4243,"base":4},"right_expr":{"type":"numeric_atoms","value":1332,"base":4}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":2985,"base":4}}}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":2719,"base":4},"right_expr":{"type":"numeric_atoms","value":1535,"base":4}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1873,"base":4},"right_expr":{"type":"numeric_atoms","value":2959,"base":4}}}}},"used_operators":["JxwMv5le6e","Qy55tPpLXF","eLxqMNBOBk","bQ67fsrMVf","k1SHOSEABc","3EYGwJThht","o575Zjdmzy","fFznvYxMfW","jBncVCNhdl","GODebY97qR","y4ImoPnbV5"],"dependent_operators":["uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","tifHPKVTfV","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1377","layer":4},{"info":"compute unary expreesion, input=1377, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1168","layer":3},{"info":"compute unary expreesion, input=1168, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1364224","layer":2},{"info":"number node, value=4243","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=4243, right_input=1332, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2985","layer":4},{"info":"compute unary expreesion, input=2985, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-5460","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5460, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1364224, 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=2719","layer":4},{"info":"number node, value=1535","layer":4},{"info":"compute binary expreesion, left_input=2719, right_input=1535, 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=1873","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=2959, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-18064","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-18064, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=36","layer":2},{"info":"compute unary expreesion, input=36, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-356","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-356, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⫓⪴(⨝⨆⪩⨒∯111201))⋥≓≎(⪩⨒∯1002103⇄⪩⨒∯110310)⨂≜(⪩⨒∯232221⫻⋑⊟))⨼⩣((⪩⨒∯222133⪟⇏⪩⨒∯113333⋭≵(⪩⨒∯131101∽⪩⨒∯232033))↦)=NaN","reverse_text":"NaN=((⫓⪴(⨝⨆⪩⨒∯111201))⋥≓≎(⪩⨒∯1002103⇄⪩⨒∯110310)⨂≜(⪩⨒∯232221⫻⋑⊟))⨼⩣((⪩⨒∯222133⪟⇏⪩⨒∯113333⋭≵(⪩⨒∯131101∽⪩⨒∯232033))↦)","cot":[{"info":"⨝⨆⪩⨒∯111201=⪩⨒∯102100","layer":3},{"info":"⫓⪴⪩⨒∯102100=⪩⨒∯11031010000","layer":2},{"info":"⪩⨒∯1002103⇄⪩⨒∯110310=⪩⨒∯0","layer":3},{"info":"⪩⨒∯232221⫻⋑⊟=⪩⨒∯-1111110","layer":3},{"info":"⪩⨒∯0⨂≜⪩⨒∯-1111110=NaN","layer":2},{"info":"⪩⨒∯11031010000⋥≓≎NaN=NaN","layer":1},{"info":"⪩⨒∯222133⪟⇏⪩⨒∯113333=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯131101∽⪩⨒∯232033=⪩⨒∯-10122100","layer":3},{"info":"⪩⨒∯-1⋭≵⪩⨒∯-10122100=⪩⨒∯210","layer":2},{"info":"⪩⨒∯210↦=⪩⨒∯-11210","layer":1},{"info":"NaN⨼⩣⪩⨒∯-11210=NaN","layer":0}]}
{"id":681,"expression_no_base_symbol":"(⩎⋉($4258$≴⪞⇿$2364$⨼⩣($8912$⋝⋈⪟$4998$)))⪝(∨∊⋏(↩⪖(⋗⩬⋾$1728$)))","expression":"(⩎⋉(⪩⨒∯1002202≴⪞⇿⪩⨒∯210330⨼⩣(⪩⨒∯2023100⋝⋈⪟⪩⨒∯1032012)))⪝(∨∊⋏(↩⪖(⋗⩬⋾⪩⨒∯123000)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":114460,"operation_count":8,"complexity_ratio":14307.5,"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":4258,"base":4},"right_expr":{"type":"numeric_atoms","value":2364,"base":4}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8912,"base":4},"right_expr":{"type":"numeric_atoms","value":4998,"base":4}}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1728,"base":4}}}}},"used_operators":["wicAB68Tmb","FlXk3pOYe8","JxwMv5le6e","lvlrscuwVU","2DDjHMKMc0","R5aXW34M0v","fG6uBQFnGz","DpFCA1CohY"],"dependent_operators":["L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4258","layer":4},{"info":"number node, value=2364","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=2364, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=31760684","layer":3},{"info":"number node, value=8912","layer":4},{"info":"number node, value=4998","layer":4},{"info":"compute binary expreesion, left_input=8912, right_input=4998, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8912","layer":3},{"info":"compute binary expreesion, left_input=31760684, right_input=8912, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', 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=1728","layer":4},{"info":"compute unary expreesion, input=1728, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5184","layer":3},{"info":"compute unary expreesion, input=-5184, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=70382","layer":2},{"info":"compute unary expreesion, input=70382, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=1675967","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1675967, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⩎⋉(⪩⨒∯1002202≴⪞⇿⪩⨒∯210330⨼⩣(⪩⨒∯2023100⋝⋈⪟⪩⨒∯1032012)))⪝(∨∊⋏(↩⪖(⋗⩬⋾⪩⨒∯123000)))=NaN","reverse_text":"NaN=(⩎⋉(⪩⨒∯1002202≴⪞⇿⪩⨒∯210330⨼⩣(⪩⨒∯2023100⋝⋈⪟⪩⨒∯1032012)))⪝(∨∊⋏(↩⪖(⋗⩬⋾⪩⨒∯123000)))","cot":[{"info":"⪩⨒∯1002202≴⪞⇿⪩⨒∯210330=⪩⨒∯1321022010230","layer":3},{"info":"⪩⨒∯2023100⋝⋈⪟⪩⨒∯1032012=⪩⨒∯2023100","layer":3},{"info":"⪩⨒∯1321022010230⨼⩣⪩⨒∯2023100=NaN","layer":2},{"info":"⩎⋉NaN=NaN","layer":1},{"info":"⋗⩬⋾⪩⨒∯123000=⪩⨒∯-1101000","layer":3},{"info":"↩⪖⪩⨒∯-1101000=⪩⨒∯101023232","layer":2},{"info":"∨∊⋏⪩⨒∯101023232=⪩⨒∯12121022333","layer":1},{"info":"NaN⪝⪩⨒∯12121022333=NaN","layer":0}]}
{"id":682,"expression_no_base_symbol":"⨦⪝(($1363$⩘)≬⇓(⪝⪂⫅$3970$)⪎⩰)","expression":"⨦⪝((⪩⨒∯111103⩘)≬⇓(⪝⪂⫅⪩⨒∯332002)⪎⩰)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":350,"operation_count":5,"complexity_ratio":70.0,"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":1363,"base":4}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3970,"base":4}}}}},"used_operators":["SUjycxNXIR","2ufhKmSs5H","jWTQ2TZYIH","wvHyciQT5X","XTarYq4gQB"],"dependent_operators":["V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9ICcGScMcE","dfKe02y8D2","9HNa5Wba9A","8w2t5hMYqp"],"result":"⪩⨒∯-131130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1363","layer":4},{"info":"compute unary expreesion, input=1363, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"number node, value=3970","layer":4},{"info":"compute unary expreesion, input=3970, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-583590","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-583590, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-12481","layer":1},{"info":"compute unary expreesion, input=-12481, op_id = SUjycxNXIR, unary_op_definition = '⨦⪝a = { (⫎≠⋺((a≳⇉a)⨎(⊵⊁a))) , if (a∙∹∝10)>301 ; ((⨣⨃⇪(a≭a))⊚⫡⫭) , else }', output=-1884","layer":0}],"base":4,"result_base":4,"text":"⨦⪝((⪩⨒∯111103⩘)≬⇓(⪝⪂⫅⪩⨒∯332002)⪎⩰)=⪩⨒∯-131130","reverse_text":"⪩⨒∯-131130=⨦⪝((⪩⨒∯111103⩘)≬⇓(⪝⪂⫅⪩⨒∯332002)⪎⩰)","cot":[{"info":"⪩⨒∯111103⩘=⪩⨒∯1003","layer":3},{"info":"⪝⪂⫅⪩⨒∯332002=⪩⨒∯-2032132212","layer":3},{"info":"⪩⨒∯1003≬⇓⪩⨒∯-2032132212=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⪎⩰=⪩⨒∯-3003001","layer":1},{"info":"⨦⪝⪩⨒∯-3003001=⪩⨒∯-131130","layer":0}]}
{"id":683,"expression_no_base_symbol":"$3380$⇂≾⫗$3544$⋕⪉⪜$1027$≌$1923$↹⊜(($6860$⩨$5092$)⋥≓≎($1926$∁))⊿∆","expression":"⪩⨒∯310310⇂≾⫗⪩⨒∯313120⋕⪉⪜⪩⨒∯100003≌⪩⨒∯132003↹⊜((⪩⨒∯1223030⩨⪩⨒∯1033210)⋥≓≎(⪩⨒∯132012∁))⊿∆","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2174,"operation_count":8,"complexity_ratio":271.75,"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":3380,"base":4},"right_expr":{"type":"numeric_atoms","value":3544,"base":4}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1027,"base":4},"right_expr":{"type":"numeric_atoms","value":1923,"base":4}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6860,"base":4},"right_expr":{"type":"numeric_atoms","value":5092,"base":4}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":1926,"base":4}}}}},"used_operators":["fv3ZujxkQL","9bazX3JMtO","z6LnFrNh4i","aBQ6xLxuTc","lyWz822IDG","Qy55tPpLXF","2DlMacCsIx","jdwGQqwJi5"],"dependent_operators":["NTOWxs364D","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2DDjHMKMc0"],"result":"⪩⨒∯33030113","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3380","layer":4},{"info":"number node, value=3544","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=3544, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=1923, 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=-676, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"number node, value=6860","layer":4},{"info":"number node, value=5092","layer":4},{"info":"compute binary expreesion, left_input=6860, right_input=5092, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1926","layer":4},{"info":"compute unary expreesion, input=1926, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=1926","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1926, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3885","layer":2},{"info":"compute binary expreesion, left_input=204, right_input=3885, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-31176","layer":1},{"info":"compute unary expreesion, input=-31176, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=62231","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯310310⇂≾⫗⪩⨒∯313120⋕⪉⪜⪩⨒∯100003≌⪩⨒∯132003↹⊜((⪩⨒∯1223030⩨⪩⨒∯1033210)⋥≓≎(⪩⨒∯132012∁))⊿∆=⪩⨒∯33030113","reverse_text":"⪩⨒∯33030113=⪩⨒∯310310⇂≾⫗⪩⨒∯313120⋕⪉⪜⪩⨒∯100003≌⪩⨒∯132003↹⊜((⪩⨒∯1223030⩨⪩⨒∯1033210)⋥≓≎(⪩⨒∯132012∁))⊿∆","cot":[{"info":"⪩⨒∯310310⇂≾⫗⪩⨒∯313120=⪩⨒∯-22210","layer":3},{"info":"⪩⨒∯100003≌⪩⨒∯132003=NaN","layer":3},{"info":"⪩⨒∯-22210⋕⪉⪜NaN=⪩⨒∯3030","layer":2},{"info":"⪩⨒∯1223030⩨⪩⨒∯1033210=⪩⨒∯0","layer":3},{"info":"⪩⨒∯132012∁=⪩⨒∯132012","layer":3},{"info":"⪩⨒∯0⋥≓≎⪩⨒∯132012=⪩⨒∯330231","layer":2},{"info":"⪩⨒∯3030↹⊜⪩⨒∯330231=⪩⨒∯-13213020","layer":1},{"info":"⪩⨒∯-13213020⊿∆=⪩⨒∯33030113","layer":0}]}
{"id":684,"expression_no_base_symbol":"(($1083$⋾⨃∁$2356$)⫠)⇂≾⫗($4574$+⪬∐$1692$⨽($1245$⫸⊐$1037$))⊬⨰(($1836$⪷)≁($4135$⨟⋌⩍$7062$)⪛(⋣$4187$⨐$6530$))","expression":"((⪩⨒∯100323⋾⨃∁⪩⨒∯210310)⫠)⇂≾⫗(⪩⨒∯1013132+⪬∐⪩⨒∯122130⨽(⪩⨒∯103131⫸⊐⪩⨒∯100031))⊬⨰((⪩⨒∯130230⪷)≁(⪩⨒∯1000213⨟⋌⩍⪩⨒∯1232112)⪛(⋣⪩⨒∯1001123⨐⪩⨒∯1212002))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18299,"operation_count":13,"complexity_ratio":1407.6153846153845,"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":1083,"base":4},"right_expr":{"type":"numeric_atoms","value":2356,"base":4}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"numeric_atoms","value":4574,"base":4},"right_expr":{"type":"numeric_atoms","value":1692,"base":4}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1245,"base":4},"right_expr":{"type":"numeric_atoms","value":1037,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"numeric_atoms","value":1836,"base":4}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4135,"base":4},"right_expr":{"type":"numeric_atoms","value":7062,"base":4}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":4187,"base":4},"right_expr":{"type":"numeric_atoms","value":6530,"base":4}}}}},"used_operators":["s3Fd5m9Dh2","aBQ6xLxuTc","6SnOT2rOjz","212REbPD9h","8HhzD0ZcuI","2GS7woTJqF","mqXw5SEYmG","uFcxV4UQCh","8N2wDY1A35","Qctrpi3WzA","rGHVDoGpnC","zQWRhDnn8F","Noe24qw2ks"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","g55IO6H4Gj","D4vGDi5EA2","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Nsiff2A1zJ","Tcnh7f0tEr","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1083","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=2356, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=55478994","layer":3},{"info":"compute unary expreesion, input=55478994, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"number node, value=4574","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=4574, right_input=1692, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=-13722","layer":3},{"info":"number node, value=1245","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=1037, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4023","layer":3},{"info":"compute binary expreesion, left_input=-13722, right_input=4023, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-564890607","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-564890607, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"number node, value=1836","layer":4},{"info":"compute unary expreesion, input=1836, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":3},{"info":"number node, value=4135","layer":4},{"info":"number node, value=7062","layer":4},{"info":"compute binary expreesion, left_input=4135, right_input=7062, 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=nan, right_input=nan, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=nan","layer":2},{"info":"number node, value=4187","layer":4},{"info":"number node, value=6530","layer":4},{"info":"compute binary expreesion, left_input=4187, right_input=6530, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-8374","layer":3},{"info":"compute unary expreesion, input=-8374, 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=nan, right_input=-113, 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=-670, right_input=nan, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯100323⋾⨃∁⪩⨒∯210310)⫠)⇂≾⫗(⪩⨒∯1013132+⪬∐⪩⨒∯122130⨽(⪩⨒∯103131⫸⊐⪩⨒∯100031))⊬⨰((⪩⨒∯130230⪷)≁(⪩⨒∯1000213⨟⋌⩍⪩⨒∯1232112)⪛(⋣⪩⨒∯1001123⨐⪩⨒∯1212002))=NaN","reverse_text":"NaN=((⪩⨒∯100323⋾⨃∁⪩⨒∯210310)⫠)⇂≾⫗(⪩⨒∯1013132+⪬∐⪩⨒∯122130⨽(⪩⨒∯103131⫸⊐⪩⨒∯100031))⊬⨰((⪩⨒∯130230⪷)≁(⪩⨒∯1000213⨟⋌⩍⪩⨒∯1232112)⪛(⋣⪩⨒∯1001123⨐⪩⨒∯1212002))","cot":[{"info":"⪩⨒∯100323⋾⨃∁⪩⨒∯210310=⪩⨒∯3103220223102","layer":3},{"info":"⪩⨒∯3103220223102⫠=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1013132+⪬∐⪩⨒∯122130=⪩⨒∯-3112122","layer":3},{"info":"⪩⨒∯103131⫸⊐⪩⨒∯100031=⪩⨒∯332313","layer":3},{"info":"⪩⨒∯-3112122⨽⪩⨒∯332313=⪩⨒∯-201222320233233","layer":2},{"info":"⪩⨒∯0⇂≾⫗⪩⨒∯-201222320233233=⪩⨒∯-22132","layer":1},{"info":"⪩⨒∯130230⪷=NaN","layer":3},{"info":"⪩⨒∯1000213⨟⋌⩍⪩⨒∯1232112=NaN","layer":3},{"info":"NaN≁NaN=NaN","layer":2},{"info":"⪩⨒∯1001123⨐⪩⨒∯1212002=⪩⨒∯-2002312","layer":3},{"info":"⋣⪩⨒∯-2002312=⪩⨒∯-1301","layer":2},{"info":"NaN⪛⪩⨒∯-1301=NaN","layer":1},{"info":"⪩⨒∯-22132⊬⨰NaN=NaN","layer":0}]}
{"id":685,"expression_no_base_symbol":"(($4736$⩚⊴⇥$5349$)⪕$1521$≝⊿$7184$)⊮⊟↴($1196$⩁⩘$1475$⫃⨇(↩$4432$))∋((↨⩢⫨$1526$≨$2535$)⊦⊿)","expression":"((⪩⨒∯1022000⩚⊴⇥⪩⨒∯1103211)⪕⪩⨒∯113301≝⊿⪩⨒∯1300100)⊮⊟↴(⪩⨒∯102230⩁⩘⪩⨒∯113003⫃⨇(↩⪩⨒∯1011100))∋((↨⩢⫨⪩⨒∯113312≨⪩⨒∯213213)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":352,"operation_count":11,"complexity_ratio":32.0,"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":4736,"base":4},"right_expr":{"type":"numeric_atoms","value":5349,"base":4}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1521,"base":4},"right_expr":{"type":"numeric_atoms","value":7184,"base":4}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1196,"base":4},"right_expr":{"type":"numeric_atoms","value":1475,"base":4}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4432,"base":4}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1526,"base":4},"right_expr":{"type":"numeric_atoms","value":2535,"base":4}}}}},"used_operators":["ukq6epAj5P","QDVgd2eftb","umQnsF7QlU","NTOWxs364D","OKKcZfAt5B","09Ly4LVMIf","gub5Cegaqo","jLgFTUHLKL","14qkJME0vr","Z5CJsN7DuW","0KMCeP1Jsh"],"dependent_operators":["SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","12rbrZMWeM","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","DpFCA1CohY","IWmyXbctLI","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⪩⨒∯-31111200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4736","layer":4},{"info":"number node, value=5349","layer":4},{"info":"compute binary expreesion, left_input=4736, right_input=5349, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10206","layer":3},{"info":"number node, value=1521","layer":4},{"info":"number node, value=7184","layer":4},{"info":"compute binary expreesion, left_input=1521, right_input=7184, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-16422","layer":3},{"info":"compute binary expreesion, left_input=-10206, right_input=-16422, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=1475, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6848","layer":3},{"info":"number node, value=4432","layer":4},{"info":"compute unary expreesion, input=4432, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-32676","layer":3},{"info":"compute binary expreesion, left_input=6848, right_input=-32676, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=130672","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=130672, 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=1526","layer":4},{"info":"number node, value=2535","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=2535, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-12784","layer":3},{"info":"compute unary expreesion, input=-12784, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-79, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54624","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1022000⩚⊴⇥⪩⨒∯1103211)⪕⪩⨒∯113301≝⊿⪩⨒∯1300100)⊮⊟↴(⪩⨒∯102230⩁⩘⪩⨒∯113003⫃⨇(↩⪩⨒∯1011100))∋((↨⩢⫨⪩⨒∯113312≨⪩⨒∯213213)⊦⊿)=⪩⨒∯-31111200","reverse_text":"⪩⨒∯-31111200=((⪩⨒∯1022000⩚⊴⇥⪩⨒∯1103211)⪕⪩⨒∯113301≝⊿⪩⨒∯1300100)⊮⊟↴(⪩⨒∯102230⩁⩘⪩⨒∯113003⫃⨇(↩⪩⨒∯1011100))∋((↨⩢⫨⪩⨒∯113312≨⪩⨒∯213213)⊦⊿)","cot":[{"info":"⪩⨒∯1022000⩚⊴⇥⪩⨒∯1103211=⪩⨒∯-2133132","layer":3},{"info":"⪩⨒∯113301≝⊿⪩⨒∯1300100=⪩⨒∯-10000212","layer":3},{"info":"⪩⨒∯-2133132⪕⪩⨒∯-10000212=⪩⨒∯32213","layer":2},{"info":"⪩⨒∯102230⩁⩘⪩⨒∯113003=⪩⨒∯1223000","layer":3},{"info":"↩⪩⨒∯1011100=⪩⨒∯-13332210","layer":3},{"info":"⪩⨒∯1223000⫃⨇⪩⨒∯-13332210=⪩⨒∯133321300","layer":2},{"info":"⪩⨒∯32213⊮⊟↴⪩⨒∯133321300=⪩⨒∯0","layer":1},{"info":"⪩⨒∯113312≨⪩⨒∯213213=⪩⨒∯-3013300","layer":3},{"info":"↨⩢⫨⪩⨒∯-3013300=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⊦⊿=⪩⨒∯-1033","layer":1},{"info":"⪩⨒∯0∋⪩⨒∯-1033=⪩⨒∯-31111200","layer":0}]}
{"id":686,"expression_no_base_symbol":"(⨩∲⋌((↥≼⋛$3878$)∼$2580$⫉⨲⊜$1230$))≴⪞⇿(($1288$≀⫉$1459$⊾⪯⋞($2301$⊉≛↸$2143$))⋳⪒(⇾⩊⇾($8021$+⇶⊼$3344$)))","expression":"(⨩∲⋌((↥≼⋛⪩⨒∯330212)∼⪩⨒∯220110⫉⨲⊜⪩⨒∯103032))≴⪞⇿((⪩⨒∯110020≀⫉⪩⨒∯112303⊾⪯⋞(⪩⨒∯203331⊉≛↸⪩⨒∯201133))⋳⪒(⇾⩊⇾(⪩⨒∯1331111+⇶⊼⪩⨒∯310100)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":362,"operation_count":11,"complexity_ratio":32.90909090909091,"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":3878,"base":4}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2580,"base":4},"right_expr":{"type":"numeric_atoms","value":1230,"base":4}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1288,"base":4},"right_expr":{"type":"numeric_atoms","value":1459,"base":4}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2301,"base":4},"right_expr":{"type":"numeric_atoms","value":2143,"base":4}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8021,"base":4},"right_expr":{"type":"numeric_atoms","value":3344,"base":4}}}}},"used_operators":["lvlrscuwVU","aSik1wnThz","DyGG3AbaNP","x5lMkHmzsq","WhqkvtTD3t","12rbrZMWeM","HK0tfVPux8","oZj3VtZNQx","DZ8iAZOCBD","bx9Z9DAK5y","TpPTUOHfaN"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","AHs5Up7iyr"],"result":"⪩⨒∯23222","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3878","layer":4},{"info":"compute unary expreesion, input=3878, 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=2580","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=2580, right_input=1230, 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=-113, 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 unary expreesion, input=20, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=257","layer":1},{"info":"number node, value=1288","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=1459, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=2301","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=2143, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4602","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=4602, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=8778","layer":2},{"info":"number node, value=8021","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=8021, right_input=3344, 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 = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8778, right_input=nan, 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=257, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=746","layer":0}],"base":4,"result_base":4,"text":"(⨩∲⋌((↥≼⋛⪩⨒∯330212)∼⪩⨒∯220110⫉⨲⊜⪩⨒∯103032))≴⪞⇿((⪩⨒∯110020≀⫉⪩⨒∯112303⊾⪯⋞(⪩⨒∯203331⊉≛↸⪩⨒∯201133))⋳⪒(⇾⩊⇾(⪩⨒∯1331111+⇶⊼⪩⨒∯310100)))=⪩⨒∯23222","reverse_text":"⪩⨒∯23222=(⨩∲⋌((↥≼⋛⪩⨒∯330212)∼⪩⨒∯220110⫉⨲⊜⪩⨒∯103032))≴⪞⇿((⪩⨒∯110020≀⫉⪩⨒∯112303⊾⪯⋞(⪩⨒∯203331⊉≛↸⪩⨒∯201133))⋳⪒(⇾⩊⇾(⪩⨒∯1331111+⇶⊼⪩⨒∯310100)))","cot":[{"info":"↥≼⋛⪩⨒∯330212=⪩⨒∯-1301","layer":3},{"info":"⪩⨒∯220110⫉⨲⊜⪩⨒∯103032=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1301∼⪩⨒∯0=⪩⨒∯110","layer":2},{"info":"⨩∲⋌⪩⨒∯110=⪩⨒∯10001","layer":1},{"info":"⪩⨒∯110020≀⫉⪩⨒∯112303=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯203331⊉≛↸⪩⨒∯201133=⪩⨒∯1013322","layer":3},{"info":"⪩⨒∯230012⊾⪯⋞⪩⨒∯1013322=⪩⨒∯2021022","layer":2},{"info":"⪩⨒∯1331111+⇶⊼⪩⨒∯310100=NaN","layer":3},{"info":"⇾⩊⇾NaN=NaN","layer":2},{"info":"⪩⨒∯2021022⋳⪒NaN=NaN","layer":1},{"info":"⪩⨒∯10001≴⪞⇿NaN=⪩⨒∯23222","layer":0}]}
{"id":687,"expression_no_base_symbol":"(($1328$⫯⪬∳$1236$⪭($1931$≧⫂∧$1306$))≚⊃≕(↨⩢⫨$2369$⨐$1677$))⨥⫆((⊽($3526$≀⫉$3585$))⋛((⋂$2826$)⋳⪒$1177$∺≝⩲$3373$))","expression":"((⪩⨒∯110300⫯⪬∳⪩⨒∯103110⪭(⪩⨒∯132023≧⫂∧⪩⨒∯110122))≚⊃≕(↨⩢⫨⪩⨒∯211001⨐⪩⨒∯122031))⨥⫆((⊽(⪩⨒∯313012≀⫉⪩⨒∯320001))⋛((⋂⪩⨒∯230022)⋳⪒⪩⨒∯102121∺≝⩲⪩⨒∯310231))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":365,"operation_count":13,"complexity_ratio":28.076923076923077,"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":1328,"base":4},"right_expr":{"type":"numeric_atoms","value":1236,"base":4}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1931,"base":4},"right_expr":{"type":"numeric_atoms","value":1306,"base":4}}},"right_expr":{"type":"unary","operator":"↨⩢⫨","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":2369,"base":4},"right_expr":{"type":"numeric_atoms","value":1677,"base":4}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":3526,"base":4},"right_expr":{"type":"numeric_atoms","value":3585,"base":4}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":2826,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1177,"base":4},"right_expr":{"type":"numeric_atoms","value":3373,"base":4}}}}},"used_operators":["yXekIHxTD4","Bmrmz2XGnR","j9kHMeSvPp","d7ASUq0ydm","Ph9nP6C5qx","Z5CJsN7DuW","Noe24qw2ks","YbUVn0Rbpy","QxG7OkqoLX","oZj3VtZNQx","12rbrZMWeM","BUOGQAYlQx","KPf6cnQVty"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","COABgblf1C","xUOZtlo3hN","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⪩⨒∯-1","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1328","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=1236, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5437","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=1306","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=1306, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=833","layer":3},{"info":"compute binary expreesion, left_input=5437, right_input=833, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=2369","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=2369, right_input=1677, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4738","layer":3},{"info":"compute unary expreesion, input=-4738, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=5, 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=-3486","layer":1},{"info":"number node, value=3526","layer":4},{"info":"number node, value=3585","layer":4},{"info":"compute binary expreesion, left_input=3526, right_input=3585, 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 = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=7166","layer":2},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-38968","layer":3},{"info":"number node, value=1177","layer":4},{"info":"number node, value=3373","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=3373, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-38968, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-78383","layer":2},{"info":"compute binary expreesion, left_input=7166, right_input=-78383, 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=-234504","layer":1},{"info":"compute binary expreesion, left_input=-3486, right_input=-234504, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=-1","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯110300⫯⪬∳⪩⨒∯103110⪭(⪩⨒∯132023≧⫂∧⪩⨒∯110122))≚⊃≕(↨⩢⫨⪩⨒∯211001⨐⪩⨒∯122031))⨥⫆((⊽(⪩⨒∯313012≀⫉⪩⨒∯320001))⋛((⋂⪩⨒∯230022)⋳⪒⪩⨒∯102121∺≝⩲⪩⨒∯310231))=⪩⨒∯-1","reverse_text":"⪩⨒∯-1=((⪩⨒∯110300⫯⪬∳⪩⨒∯103110⪭(⪩⨒∯132023≧⫂∧⪩⨒∯110122))≚⊃≕(↨⩢⫨⪩⨒∯211001⨐⪩⨒∯122031))⨥⫆((⊽(⪩⨒∯313012≀⫉⪩⨒∯320001))⋛((⋂⪩⨒∯230022)⋳⪒⪩⨒∯102121∺≝⩲⪩⨒∯310231))","cot":[{"info":"⪩⨒∯110300⫯⪬∳⪩⨒∯103110=⪩⨒∯1110331","layer":3},{"info":"⪩⨒∯132023≧⫂∧⪩⨒∯110122=⪩⨒∯31001","layer":3},{"info":"⪩⨒∯1110331⪭⪩⨒∯31001=⪩⨒∯11","layer":2},{"info":"⪩⨒∯211001⨐⪩⨒∯122031=⪩⨒∯-1022002","layer":3},{"info":"↨⩢⫨⪩⨒∯-1022002=⪩⨒∯0","layer":2},{"info":"⪩⨒∯11≚⊃≕⪩⨒∯0=⪩⨒∯-312132","layer":1},{"info":"⪩⨒∯313012≀⫉⪩⨒∯320001=⪩⨒∯230012","layer":3},{"info":"⊽⪩⨒∯230012=⪩⨒∯1233332","layer":2},{"info":"⋂⪩⨒∯230022=⪩⨒∯-21200320","layer":3},{"info":"⪩⨒∯102121∺≝⩲⪩⨒∯310231=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-21200320⋳⪒⪩⨒∯2200=⪩⨒∯-103020233","layer":2},{"info":"⪩⨒∯1233332⋛⪩⨒∯-103020233=⪩⨒∯-321100020","layer":1},{"info":"⪩⨒∯-312132⨥⫆⪩⨒∯-321100020=⪩⨒∯-1","layer":0}]}
{"id":688,"expression_no_base_symbol":"(∂($4009$⩵∡$1817$⊉≛↸(⊈$1427$)))⪭≯($1000$⊢$1852$⫲≸⪮$2307$⫉⨲⊜$3372$)⫞⩸⩒(($4940$↱$9387$)∊∟⩊$2152$∴$4339$)","expression":"(∂(⪩⨒∯332221⩵∡⪩⨒∯130121⊉≛↸(⊈⪩⨒∯112103)))⪭≯(⪩⨒∯33220⊢⪩⨒∯130330⫲≸⪮⪩⨒∯210003⫉⨲⊜⪩⨒∯310230)⫞⩸⩒((⪩⨒∯1031030↱⪩⨒∯2102223)∊∟⩊⪩⨒∯201220∴⪩⨒∯1003303)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2545,"operation_count":12,"complexity_ratio":212.08333333333334,"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":4009,"base":4},"right_expr":{"type":"numeric_atoms","value":1817,"base":4}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1427,"base":4}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1000,"base":4},"right_expr":{"type":"numeric_atoms","value":1852,"base":4}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2307,"base":4},"right_expr":{"type":"numeric_atoms","value":3372,"base":4}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":4940,"base":4},"right_expr":{"type":"numeric_atoms","value":9387,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":2152,"base":4},"right_expr":{"type":"numeric_atoms","value":4339,"base":4}}}}},"used_operators":["XAx5wpdLa6","Uaa54Peajs","DZ8iAZOCBD","Y7wcNGrDQJ","RHru8klgy8","XGcMNugi78","P3lXMJvFrc","5twsqlHp2o","WhqkvtTD3t","ddLRYrp01A","SR5kFfdi6N","hrf7POJlIJ"],"dependent_operators":["9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","xUOZtlo3hN","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eewbuw0ToL","zVYPLywUTj","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4009","layer":4},{"info":"number node, value=1817","layer":4},{"info":"compute binary expreesion, left_input=4009, right_input=1817, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6322","layer":3},{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1601","layer":3},{"info":"compute binary expreesion, left_input=-6322, right_input=-1601, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1601","layer":2},{"info":"compute unary expreesion, input=1601, 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=1000","layer":4},{"info":"number node, value=1852","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=1852, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2244","layer":3},{"info":"number node, value=2307","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=2307, right_input=3372, 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=-2244, right_input=0, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=-2244","layer":2},{"info":"number node, value=4940","layer":4},{"info":"number node, value=9387","layer":4},{"info":"compute binary expreesion, left_input=4940, right_input=9387, 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=-27639","layer":3},{"info":"number node, value=2152","layer":4},{"info":"number node, value=4339","layer":4},{"info":"compute binary expreesion, left_input=2152, right_input=4339, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5952","layer":3},{"info":"compute binary expreesion, left_input=-27639, right_input=5952, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=5952","layer":2},{"info":"compute binary expreesion, left_input=-2244, right_input=5952, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-2244","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2244, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(∂(⪩⨒∯332221⩵∡⪩⨒∯130121⊉≛↸(⊈⪩⨒∯112103)))⪭≯(⪩⨒∯33220⊢⪩⨒∯130330⫲≸⪮⪩⨒∯210003⫉⨲⊜⪩⨒∯310230)⫞⩸⩒((⪩⨒∯1031030↱⪩⨒∯2102223)∊∟⩊⪩⨒∯201220∴⪩⨒∯1003303)=NaN","reverse_text":"NaN=(∂(⪩⨒∯332221⩵∡⪩⨒∯130121⊉≛↸(⊈⪩⨒∯112103)))⪭≯(⪩⨒∯33220⊢⪩⨒∯130330⫲≸⪮⪩⨒∯210003⫉⨲⊜⪩⨒∯310230)⫞⩸⩒((⪩⨒∯1031030↱⪩⨒∯2102223)∊∟⩊⪩⨒∯201220∴⪩⨒∯1003303)","cot":[{"info":"⪩⨒∯332221⩵∡⪩⨒∯130121=⪩⨒∯-1202302","layer":3},{"info":"⊈⪩⨒∯112103=⪩⨒∯-121001","layer":3},{"info":"⪩⨒∯-1202302⊉≛↸⪩⨒∯-121001=⪩⨒∯121001","layer":2},{"info":"∂⪩⨒∯121001=NaN","layer":1},{"info":"⪩⨒∯33220⊢⪩⨒∯130330=⪩⨒∯-203010","layer":3},{"info":"⪩⨒∯210003⫉⨲⊜⪩⨒∯310230=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-203010⫲≸⪮⪩⨒∯0=⪩⨒∯-203010","layer":2},{"info":"⪩⨒∯1031030↱⪩⨒∯2102223=⪩⨒∯-12233313","layer":3},{"info":"⪩⨒∯201220∴⪩⨒∯1003303=⪩⨒∯1131000","layer":3},{"info":"⪩⨒∯-12233313∊∟⩊⪩⨒∯1131000=⪩⨒∯1131000","layer":2},{"info":"⪩⨒∯-203010⫞⩸⩒⪩⨒∯1131000=⪩⨒∯-203010","layer":1},{"info":"NaN⪭≯⪩⨒∯-203010=NaN","layer":0}]}
{"id":689,"expression_no_base_symbol":"((($3279$≎⊠⪸$3411$)⇉⇱⇎)⊍⩺⋍($5081$⊱⇼⊻$2067$)⪃⊛⇣(⇺⋃$7105$))⨸(-(⫟($2322$⩢≌)))","expression":"(((⪩⨒∯303033≎⊠⪸⪩⨒∯311103)⇉⇱⇎)⊍⩺⋍(⪩⨒∯1033121⊱⇼⊻⪩⨒∯200103)⪃⊛⇣(⇺⋃⪩⨒∯1233001))⨸(-(⫟(⪩⨒∯210102⩢≌)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":189888,"operation_count":10,"complexity_ratio":18988.8,"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":3279,"base":4},"right_expr":{"type":"numeric_atoms","value":3411,"base":4}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":5081,"base":4},"right_expr":{"type":"numeric_atoms","value":2067,"base":4}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":7105,"base":4}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":2322,"base":4}}}}},"used_operators":["KmoU8R5UQR","OXDGMFPWZM","MRPaB8lBjK","bJkvcejdHO","rrgAzCduG9","FyVja0WsTP","E5v5B3UAjG","t8gj7n24qd","z4E1FaHLuy","D617RFjZIq"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","hTbEZDJLEm","o20kRiQErp"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3279","layer":4},{"info":"number node, value=3411","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=3411, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=848788","layer":3},{"info":"compute unary expreesion, input=848788, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-848570","layer":2},{"info":"number node, value=5081","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=5081, right_input=2067, 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=7105","layer":4},{"info":"compute unary expreesion, input=7105, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=nan, 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=-848570, right_input=1234, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=2322","layer":4},{"info":"compute unary expreesion, input=2322, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute unary expreesion, input=113, 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=568","layer":2},{"info":"compute unary expreesion, input=568, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-568","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-568, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯303033≎⊠⪸⪩⨒∯311103)⇉⇱⇎)⊍⩺⋍(⪩⨒∯1033121⊱⇼⊻⪩⨒∯200103)⪃⊛⇣(⇺⋃⪩⨒∯1233001))⨸(-(⫟(⪩⨒∯210102⩢≌)))=NaN","reverse_text":"NaN=(((⪩⨒∯303033≎⊠⪸⪩⨒∯311103)⇉⇱⇎)⊍⩺⋍(⪩⨒∯1033121⊱⇼⊻⪩⨒∯200103)⪃⊛⇣(⇺⋃⪩⨒∯1233001))⨸(-(⫟(⪩⨒∯210102⩢≌)))","cot":[{"info":"⪩⨒∯303033≎⊠⪸⪩⨒∯311103=⪩⨒∯3033032110","layer":3},{"info":"⪩⨒∯3033032110⇉⇱⇎=⪩⨒∯-3033022322","layer":2},{"info":"⪩⨒∯1033121⊱⇼⊻⪩⨒∯200103=⪩⨒∯12302","layer":3},{"info":"⇺⋃⪩⨒∯1233001=NaN","layer":3},{"info":"⪩⨒∯12302⪃⊛⇣NaN=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯-3033022322⊍⩺⋍⪩⨒∯103102=NaN","layer":1},{"info":"⪩⨒∯210102⩢≌=⪩⨒∯1301","layer":3},{"info":"⫟⪩⨒∯1301=⪩⨒∯20320","layer":2},{"info":"-⪩⨒∯20320=⪩⨒∯-20320","layer":1},{"info":"NaN⨸⪩⨒∯-20320=NaN","layer":0}]}
{"id":690,"expression_no_base_symbol":"($1815$⪃⊛⇣$1189$⪒(⩦⊞$5350$))⨼⩣($5860$⇴∐$6233$∟)∛≔","expression":"(⪩⨒∯130113⪃⊛⇣⪩⨒∯102211⪒(⩦⊞⪩⨒∯1103212))⨼⩣(⪩⨒∯1123210⇴∐⪩⨒∯1201121∟)∛≔","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1163,"operation_count":7,"complexity_ratio":166.14285714285714,"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":1815,"base":4},"right_expr":{"type":"numeric_atoms","value":1189,"base":4}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":5350,"base":4}}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":5860,"base":4},"right_expr":{"type":"numeric_atoms","value":6233,"base":4}}}}},"used_operators":["mGnSCrte3L","JxwMv5le6e","f6k1SAg4EE","rrgAzCduG9","u7fv1HBiaC","hTbEZDJLEm","HnzytWxmAO"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","W4YGzv6Whe","t8gj7n24qd","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1815","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=1189, 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=5350","layer":4},{"info":"compute unary expreesion, input=5350, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5077","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-5077, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=3843","layer":2},{"info":"number node, value=5860","layer":4},{"info":"number node, value=6233","layer":4},{"info":"compute binary expreesion, left_input=5860, right_input=6233, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3843, right_input=nan, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', 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":4,"result_base":4,"text":"(⪩⨒∯130113⪃⊛⇣⪩⨒∯102211⪒(⩦⊞⪩⨒∯1103212))⨼⩣(⪩⨒∯1123210⇴∐⪩⨒∯1201121∟)∛≔=NaN","reverse_text":"NaN=(⪩⨒∯130113⪃⊛⇣⪩⨒∯102211⪒(⩦⊞⪩⨒∯1103212))⨼⩣(⪩⨒∯1123210⇴∐⪩⨒∯1201121∟)∛≔","cot":[{"info":"⪩⨒∯130113⪃⊛⇣⪩⨒∯102211=⪩⨒∯103102","layer":3},{"info":"⩦⊞⪩⨒∯1103212=⪩⨒∯-1033111","layer":3},{"info":"⪩⨒∯103102⪒⪩⨒∯-1033111=⪩⨒∯330003","layer":2},{"info":"⪩⨒∯1123210⇴∐⪩⨒∯1201121=NaN","layer":3},{"info":"NaN∟=NaN","layer":2},{"info":"⪩⨒∯330003⨼⩣NaN=NaN","layer":1},{"info":"NaN∛≔=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"($2902$≬⇓$1673$*$1115$∺≝⩲$1083$)↳∿⪆(⪛⨧($3828$⫸⊐$1126$))→⨶⪴((⋗⩴⪓$2444$)≨($2102$⋣⋖$1436$)≃($1075$⨼⩣$4118$∵≐))","expression":"(⪩⨒∯231112≬⇓⪩⨒∯122021*⪩⨒∯101123∺≝⩲⪩⨒∯100323)↳∿⪆(⪛⨧(⪩⨒∯323310⫸⊐⪩⨒∯101212))→⨶⪴((⋗⩴⪓⪩⨒∯212030)≨(⪩⨒∯200312⋣⋖⪩⨒∯112130)≃(⪩⨒∯100303⨼⩣⪩⨒∯1000112∵≐))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15442,"operation_count":13,"complexity_ratio":1187.8461538461538,"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":2902,"base":4},"right_expr":{"type":"numeric_atoms","value":1673,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1115,"base":4},"right_expr":{"type":"numeric_atoms","value":1083,"base":4}}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3828,"base":4},"right_expr":{"type":"numeric_atoms","value":1126,"base":4}}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":2444,"base":4}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":2102,"base":4},"right_expr":{"type":"numeric_atoms","value":1436,"base":4}}},"right_expr":{"type":"unary","operator":"∵≐","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1075,"base":4},"right_expr":{"type":"numeric_atoms","value":4118,"base":4}}}}},"used_operators":["bF6eod5Gvf","Cw4SuJJGHO","9HNa5Wba9A","jWTQ2TZYIH","KPf6cnQVty","6NJAcO2OWT","mqXw5SEYmG","YbVcJGFEVW","0KMCeP1Jsh","nOKPl9n5zu","J0M6qkBnIM","59igzFyhWz","JxwMv5le6e"],"dependent_operators":["8w2t5hMYqp","9FxExcQeMw","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2902","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=1673, 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=1115","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=1083, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-3520","layer":2},{"info":"number node, value=3828","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=3828, right_input=1126, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4379","layer":3},{"info":"compute unary expreesion, input=4379, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=10159","layer":2},{"info":"compute binary expreesion, left_input=-3520, right_input=10159, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":1},{"info":"number node, value=2444","layer":4},{"info":"compute unary expreesion, input=2444, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-1531","layer":3},{"info":"number node, value=2102","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=2102, right_input=1436, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=2102","layer":3},{"info":"compute binary expreesion, left_input=-1531, right_input=2102, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=3718","layer":2},{"info":"number node, value=1075","layer":4},{"info":"number node, value=4118","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=4118, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3718, 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":"compute binary expreesion, left_input=nan, right_input=69, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯231112≬⇓⪩⨒∯122021*⪩⨒∯101123∺≝⩲⪩⨒∯100323)↳∿⪆(⪛⨧(⪩⨒∯323310⫸⊐⪩⨒∯101212))→⨶⪴((⋗⩴⪓⪩⨒∯212030)≨(⪩⨒∯200312⋣⋖⪩⨒∯112130)≃(⪩⨒∯100303⨼⩣⪩⨒∯1000112∵≐))=NaN","reverse_text":"NaN=(⪩⨒∯231112≬⇓⪩⨒∯122021*⪩⨒∯101123∺≝⩲⪩⨒∯100323)↳∿⪆(⪛⨧(⪩⨒∯323310⫸⊐⪩⨒∯101212))→⨶⪴((⋗⩴⪓⪩⨒∯212030)≨(⪩⨒∯200312⋣⋖⪩⨒∯112130)≃(⪩⨒∯100303⨼⩣⪩⨒∯1000112∵≐))","cot":[{"info":"⪩⨒∯231112≬⇓⪩⨒∯122021=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯101123∺≝⩲⪩⨒∯100323=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-112*⪩⨒∯2200=⪩⨒∯-313000","layer":2},{"info":"⪩⨒∯323310⫸⊐⪩⨒∯101212=⪩⨒∯1010123","layer":3},{"info":"⪛⨧⪩⨒∯1010123=⪩⨒∯2132233","layer":2},{"info":"⪩⨒∯-313000↳∿⪆⪩⨒∯2132233=NaN","layer":1},{"info":"⋗⩴⪓⪩⨒∯212030=⪩⨒∯-113323","layer":3},{"info":"⪩⨒∯200312⋣⋖⪩⨒∯112130=⪩⨒∯200312","layer":3},{"info":"⪩⨒∯-113323≨⪩⨒∯200312=⪩⨒∯322012","layer":2},{"info":"⪩⨒∯100303⨼⩣⪩⨒∯1000112=NaN","layer":3},{"info":"NaN∵≐=NaN","layer":2},{"info":"⪩⨒∯322012≃NaN=⪩⨒∯1011","layer":1},{"info":"NaN→⨶⪴⪩⨒∯1011=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"↞≼((⫎≠⋺$1068$⊮⊟↴$2048$)∥⊢⊲((⫡⇟⇯$2996$)∙∹∝$2333$≀⫉$3622$))","expression":"↞≼((⫎≠⋺⪩⨒∯100230⊮⊟↴⪩⨒∯200000)∥⊢⊲((⫡⇟⇯⪩⨒∯232310)∙∹∝⪩⨒∯210131≀⫉⪩⨒∯320212))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":250,"operation_count":7,"complexity_ratio":35.714285714285715,"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":1068,"base":4},"right_expr":{"type":"numeric_atoms","value":2048,"base":4}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":2996,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2333,"base":4},"right_expr":{"type":"numeric_atoms","value":3622,"base":4}}}}},"used_operators":["DE7zCoGJt9","v1UQAVDJRr","LYeZOJ0nQG","QDVgd2eftb","HmxsFra2vL","qWUSsah53b","oZj3VtZNQx"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","EBcxylXtPf","rGHVDoGpnC","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","DZ8iAZOCBD","P8v4zCKN1o","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⪩⨒∯-12132","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=2048, 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 = 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=2996","layer":4},{"info":"compute unary expreesion, input=2996, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=6860","layer":3},{"info":"number node, value=2333","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=3622, 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=6860, right_input=2822, 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=-709, right_input=0, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=-414","layer":0}],"base":4,"result_base":4,"text":"↞≼((⫎≠⋺⪩⨒∯100230⊮⊟↴⪩⨒∯200000)∥⊢⊲((⫡⇟⇯⪩⨒∯232310)∙∹∝⪩⨒∯210131≀⫉⪩⨒∯320212))=⪩⨒∯-12132","reverse_text":"⪩⨒∯-12132=↞≼((⫎≠⋺⪩⨒∯100230⊮⊟↴⪩⨒∯200000)∥⊢⊲((⫡⇟⇯⪩⨒∯232310)∙∹∝⪩⨒∯210131≀⫉⪩⨒∯320212))","cot":[{"info":"⪩⨒∯100230⊮⊟↴⪩⨒∯200000=⪩⨒∯0","layer":3},{"info":"⫎≠⋺⪩⨒∯0=⪩⨒∯-23011","layer":2},{"info":"⫡⇟⇯⪩⨒∯232310=⪩⨒∯1223030","layer":3},{"info":"⪩⨒∯210131≀⫉⪩⨒∯320212=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯1223030∙∹∝⪩⨒∯230012=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-23011∥⊢⊲⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"↞≼⪩⨒∯0=⪩⨒∯-12132","layer":0}]}
{"id":693,"expression_no_base_symbol":"((⇉-⫰$2587$)⪔(↡$6987$))⇡⇂(($6006$%$6928$)⋾⨃∁($5486$⩵∡$4702$))⪔⊥((∥⊫$7040$⫢⨠$2703$)∕⩚($7845$⫃⨇$2243$)⇷$1561$→⨶⪴$3188$)","expression":"((⇉-⫰⪩⨒∯220123)⪔(↡⪩⨒∯1231023))⇡⇂((⪩⨒∯1131312%⪩⨒∯1230100)⋾⨃∁(⪩⨒∯1111232⩵∡⪩⨒∯1021132))⪔⊥((∥⊫⪩⨒∯1232000⫢⨠⪩⨒∯222033)∕⩚(⪩⨒∯1322211⫃⨇⪩⨒∯203003)⇷⪩⨒∯120121→⨶⪴⪩⨒∯301310)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":817451140,"operation_count":14,"complexity_ratio":58389367.14285714,"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":2587,"base":4}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":6987,"base":4}}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6006,"base":4},"right_expr":{"type":"numeric_atoms","value":6928,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":5486,"base":4},"right_expr":{"type":"numeric_atoms","value":4702,"base":4}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":7040,"base":4},"right_expr":{"type":"numeric_atoms","value":2703,"base":4}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":7845,"base":4},"right_expr":{"type":"numeric_atoms","value":2243,"base":4}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1561,"base":4},"right_expr":{"type":"numeric_atoms","value":3188,"base":4}}}}},"used_operators":["HJ9erzHUuu","UMwdvZNt44","GjBEYRfMaF","IGFM8TAlm9","MXaNJeIAZ3","212REbPD9h","k8jYdgA6NY","Y7wcNGrDQJ","z9ffQ9n5Zr","P8v4zCKN1o","xlXykHWxX1","mp7IySMOzn","09Ly4LVMIf","bF6eod5Gvf"],"dependent_operators":["eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eH2TOUuTDT","eewbuw0ToL","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","tifHPKVTfV","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","W4YGzv6Whe","t8gj7n24qd","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","8w2t5hMYqp","9FxExcQeMw"],"result":"⪩⨒∯103210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2587","layer":4},{"info":"compute unary expreesion, input=2587, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"number node, value=6987","layer":4},{"info":"compute unary expreesion, input=6987, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=62883","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=62883, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=6006","layer":4},{"info":"number node, value=6928","layer":4},{"info":"compute binary expreesion, left_input=6006, right_input=6928, op_id = k8jYdgA6NY binary_op_definition= 'None', output=6006","layer":3},{"info":"number node, value=5486","layer":4},{"info":"number node, value=4702","layer":4},{"info":"compute binary expreesion, left_input=5486, right_input=4702, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-6391","layer":3},{"info":"compute binary expreesion, left_input=6006, right_input=-6391, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=408525408","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=408525408, 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=-453","layer":1},{"info":"number node, value=7040","layer":4},{"info":"number node, value=2703","layer":4},{"info":"compute binary expreesion, left_input=7040, right_input=2703, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1028","layer":2},{"info":"number node, value=7845","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=7845, right_input=2243, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9004","layer":3},{"info":"number node, value=1561","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=3188, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-9564","layer":3},{"info":"compute binary expreesion, left_input=-9004, right_input=-9564, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1028, 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=-453, right_input=-487, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1252","layer":0}],"base":4,"result_base":4,"text":"((⇉-⫰⪩⨒∯220123)⪔(↡⪩⨒∯1231023))⇡⇂((⪩⨒∯1131312%⪩⨒∯1230100)⋾⨃∁(⪩⨒∯1111232⩵∡⪩⨒∯1021132))⪔⊥((∥⊫⪩⨒∯1232000⫢⨠⪩⨒∯222033)∕⩚(⪩⨒∯1322211⫃⨇⪩⨒∯203003)⇷⪩⨒∯120121→⨶⪴⪩⨒∯301310)=⪩⨒∯103210","reverse_text":"⪩⨒∯103210=((⇉-⫰⪩⨒∯220123)⪔(↡⪩⨒∯1231023))⇡⇂((⪩⨒∯1131312%⪩⨒∯1230100)⋾⨃∁(⪩⨒∯1111232⩵∡⪩⨒∯1021132))⪔⊥((∥⊫⪩⨒∯1232000⫢⨠⪩⨒∯222033)∕⩚(⪩⨒∯1322211⫃⨇⪩⨒∯203003)⇷⪩⨒∯120121→⨶⪴⪩⨒∯301310)","cot":[{"info":"⇉-⫰⪩⨒∯220123=⪩⨒∯110","layer":3},{"info":"↡⪩⨒∯1231023=⪩⨒∯33112203","layer":3},{"info":"⪩⨒∯110⪔⪩⨒∯33112203=⪩⨒∯13002","layer":2},{"info":"⪩⨒∯1131312%⪩⨒∯1230100=⪩⨒∯1131312","layer":3},{"info":"⪩⨒∯1111232⩵∡⪩⨒∯1021132=⪩⨒∯-1203313","layer":3},{"info":"⪩⨒∯1131312⋾⨃∁⪩⨒∯-1203313=⪩⨒∯120112121221200","layer":2},{"info":"⪩⨒∯13002⇡⇂⪩⨒∯120112121221200=⪩⨒∯-13011","layer":1},{"info":"⪩⨒∯1232000⫢⨠⪩⨒∯222033=⪩⨒∯2200","layer":3},{"info":"∥⊫⪩⨒∯2200=⪩⨒∯100010","layer":2},{"info":"⪩⨒∯1322211⫃⨇⪩⨒∯203003=⪩⨒∯-2030230","layer":3},{"info":"⪩⨒∯120121→⨶⪴⪩⨒∯301310=⪩⨒∯-2111130","layer":3},{"info":"⪩⨒∯-2030230⇷⪩⨒∯-2111130=NaN","layer":2},{"info":"⪩⨒∯100010∕⩚NaN=⪩⨒∯-13213","layer":1},{"info":"⪩⨒∯-13011⪔⊥⪩⨒∯-13213=⪩⨒∯103210","layer":0}]}
{"id":694,"expression_no_base_symbol":"⩷(((↸⊣$1038$)⋾⨃∁($4086$⋅⇍$3716$))⨫⇇↔($3172$∴$1312$⨓($6145$≧⫂∧$1010$)))","expression":"⩷(((↸⊣⪩⨒∯100032)⋾⨃∁(⪩⨒∯333312⋅⇍⪩⨒∯322010))⨫⇇↔(⪩⨒∯301210∴⪩⨒∯110200⨓(⪩⨒∯1200001≧⫂∧⪩⨒∯33302)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":653,"operation_count":8,"complexity_ratio":81.625,"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":1038,"base":4}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4086,"base":4},"right_expr":{"type":"numeric_atoms","value":3716,"base":4}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3172,"base":4},"right_expr":{"type":"numeric_atoms","value":1312,"base":4}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6145,"base":4},"right_expr":{"type":"numeric_atoms","value":1010,"base":4}}}}},"used_operators":["1h0rLqGiFr","LXhwmt4mBO","212REbPD9h","wztAlM01eG","AdZkA7nFnk","3ViojmjbAp","hrf7POJlIJ","Ph9nP6C5qx"],"dependent_operators":["14qkJME0vr","g55IO6H4Gj","7j4O788W3g","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯1201211","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-751","layer":3},{"info":"number node, value=4086","layer":4},{"info":"number node, value=3716","layer":4},{"info":"compute binary expreesion, left_input=4086, right_input=3716, 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=-751, 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=3172","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=3172, right_input=1312, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=7992","layer":3},{"info":"number node, value=6145","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=6145, right_input=1010, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=537","layer":3},{"info":"compute binary expreesion, left_input=7992, right_input=537, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-540","layer":2},{"info":"compute binary expreesion, left_input=5010, right_input=-540, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":1},{"info":"compute unary expreesion, input=-527, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=6245","layer":0}],"base":4,"result_base":4,"text":"⩷(((↸⊣⪩⨒∯100032)⋾⨃∁(⪩⨒∯333312⋅⇍⪩⨒∯322010))⨫⇇↔(⪩⨒∯301210∴⪩⨒∯110200⨓(⪩⨒∯1200001≧⫂∧⪩⨒∯33302)))=⪩⨒∯1201211","reverse_text":"⪩⨒∯1201211=⩷(((↸⊣⪩⨒∯100032)⋾⨃∁(⪩⨒∯333312⋅⇍⪩⨒∯322010))⨫⇇↔(⪩⨒∯301210∴⪩⨒∯110200⨓(⪩⨒∯1200001≧⫂∧⪩⨒∯33302)))","cot":[{"info":"↸⊣⪩⨒∯100032=⪩⨒∯-23233","layer":3},{"info":"⪩⨒∯333312⋅⇍⪩⨒∯322010=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯-23233⋾⨃∁⪩⨒∯-112=⪩⨒∯1032102","layer":2},{"info":"⪩⨒∯301210∴⪩⨒∯110200=⪩⨒∯1330320","layer":3},{"info":"⪩⨒∯1200001≧⫂∧⪩⨒∯33302=⪩⨒∯20121","layer":3},{"info":"⪩⨒∯1330320⨓⪩⨒∯20121=⪩⨒∯-20130","layer":2},{"info":"⪩⨒∯1032102⨫⇇↔⪩⨒∯-20130=⪩⨒∯-20033","layer":1},{"info":"⩷⪩⨒∯-20033=⪩⨒∯1201211","layer":0}]}
{"id":695,"expression_no_base_symbol":"≪((⊬↢($3134$∝$2379$))⊎←↗)","expression":"≪((⊬↢(⪩⨒∯300332∝⪩⨒∯211023))⊎←↗)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3254,"operation_count":4,"complexity_ratio":813.5,"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":3134,"base":4},"right_expr":{"type":"numeric_atoms","value":2379,"base":4}}}}},"used_operators":["Qtd6bqUJcN","dwb5p0fa6d","WPoGxAaPR1","cTDWOvIxvz"],"dependent_operators":["3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","sdazOOVcIp","COABgblf1C","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⪩⨒∯32101","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3134","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=2379, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=3139","layer":3},{"info":"compute unary expreesion, input=3139, 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":"compute unary expreesion, input=218, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=249","layer":1},{"info":"compute unary expreesion, input=249, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":0}],"base":4,"result_base":4,"text":"≪((⊬↢(⪩⨒∯300332∝⪩⨒∯211023))⊎←↗)=⪩⨒∯32101","reverse_text":"⪩⨒∯32101=≪((⊬↢(⪩⨒∯300332∝⪩⨒∯211023))⊎←↗)","cot":[{"info":"⪩⨒∯300332∝⪩⨒∯211023=⪩⨒∯301003","layer":3},{"info":"⊬↢⪩⨒∯301003=⪩⨒∯3122","layer":2},{"info":"⪩⨒∯3122⊎←↗=⪩⨒∯3321","layer":1},{"info":"≪⪩⨒∯3321=⪩⨒∯32101","layer":0}]}
{"id":696,"expression_no_base_symbol":"⨈⪑($3475$⩌⋺$6297$⨭⪣($2897$⨽$1215$))⪝(≔(⩦⊞$1833$))","expression":"⨈⪑(⪩⨒∯312103⩌⋺⪩⨒∯1202121⨭⪣(⪩⨒∯231101⨽⪩⨒∯102333))⪝(≔(⩦⊞⪩⨒∯130221))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3490,"operation_count":7,"complexity_ratio":498.57142857142856,"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":3475,"base":4},"right_expr":{"type":"numeric_atoms","value":6297,"base":4}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2897,"base":4},"right_expr":{"type":"numeric_atoms","value":1215,"base":4}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":1833,"base":4}}}}},"used_operators":["mp94q5OcYM","wicAB68Tmb","kn8WO9XteQ","g7Hmc5v1ko","8HhzD0ZcuI","8FLs4eVsLt","u7fv1HBiaC"],"dependent_operators":["YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"⪩⨒∯31210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3475","layer":4},{"info":"number node, value=6297","layer":4},{"info":"compute binary expreesion, left_input=3475, right_input=6297, 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=-9893","layer":3},{"info":"number node, value=2897","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=2897, right_input=1215, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25180158","layer":3},{"info":"compute binary expreesion, left_input=-9893, right_input=-25180158, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=9098","layer":2},{"info":"number node, value=1833","layer":4},{"info":"compute unary expreesion, input=1833, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-1560","layer":3},{"info":"compute unary expreesion, input=-1560, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=44974","layer":2},{"info":"compute binary expreesion, left_input=9098, right_input=44974, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=236","layer":1},{"info":"compute unary expreesion, input=236, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":0}],"base":4,"result_base":4,"text":"⨈⪑(⪩⨒∯312103⩌⋺⪩⨒∯1202121⨭⪣(⪩⨒∯231101⨽⪩⨒∯102333))⪝(≔(⩦⊞⪩⨒∯130221))=⪩⨒∯31210","reverse_text":"⪩⨒∯31210=⨈⪑(⪩⨒∯312103⩌⋺⪩⨒∯1202121⨭⪣(⪩⨒∯231101⨽⪩⨒∯102333))⪝(≔(⩦⊞⪩⨒∯130221))","cot":[{"info":"⪩⨒∯312103⩌⋺⪩⨒∯1202121=⪩⨒∯-2122211","layer":3},{"info":"⪩⨒∯231101⨽⪩⨒∯102333=⪩⨒∯-1200003133332","layer":3},{"info":"⪩⨒∯-2122211⨭⪣⪩⨒∯-1200003133332=⪩⨒∯2032022","layer":2},{"info":"⩦⊞⪩⨒∯130221=⪩⨒∯-120120","layer":3},{"info":"≔⪩⨒∯-120120=⪩⨒∯22332232","layer":2},{"info":"⪩⨒∯2032022⪝⪩⨒∯22332232=⪩⨒∯3230","layer":1},{"info":"⨈⪑⪩⨒∯3230=⪩⨒∯31210","layer":0}]}
{"id":697,"expression_no_base_symbol":"(∡$6222$⫘$2166$)⇂≾⫗(⫶⊄≣(⊄⩳↩$4656$))↡⊰⫅(($7322$⩵∡$1021$)∑⇟⊟($2829$⨔≚≋$2440$)⫦⪉$6672$⨜⨶$6154$⨻⩈⩔($8060$⨸⪁$4790$))","expression":"(∡⪩⨒∯1201032⫘⪩⨒∯201312)⇂≾⫗(⫶⊄≣(⊄⩳↩⪩⨒∯1020300))↡⊰⫅((⪩⨒∯1302122⩵∡⪩⨒∯33331)∑⇟⊟(⪩⨒∯230031⨔≚≋⪩⨒∯212020)⫦⪉⪩⨒∯1220100⨜⨶⪩⨒∯1200022⨻⩈⩔(⪩⨒∯1331330⨸⪁⪩⨒∯1022312))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20716,"operation_count":13,"complexity_ratio":1593.5384615384614,"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":6222,"base":4},"right_expr":{"type":"numeric_atoms","value":2166,"base":4}}},"right_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4656,"base":4}}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":7322,"base":4},"right_expr":{"type":"numeric_atoms","value":1021,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":2829,"base":4},"right_expr":{"type":"numeric_atoms","value":2440,"base":4}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":6672,"base":4},"right_expr":{"type":"numeric_atoms","value":6154,"base":4}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8060,"base":4},"right_expr":{"type":"numeric_atoms","value":4790,"base":4}}}}},"used_operators":["VCtxkLNOzz","aBQ6xLxuTc","pRsWfj4Fpp","48vC8HMD2b","wxb3vTeyAj","8w2t5hMYqp","wscyQdcy20","U7g4x0WXJJ","Y7wcNGrDQJ","Z57zeUYC9z","nEsXyWgiOK","HiPekx5b7W","g55IO6H4Gj"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","glklzrTFfD","tifHPKVTfV","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6222","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=6222, right_input=2166, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7321477","layer":3},{"info":"compute unary expreesion, input=7321477, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-7321477","layer":2},{"info":"number node, value=4656","layer":4},{"info":"compute unary expreesion, input=4656, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13968","layer":3},{"info":"compute unary expreesion, input=-13968, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=-7321477, right_input=inf, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":1},{"info":"number node, value=7322","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=7322, right_input=1021, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-13744","layer":3},{"info":"number node, value=2829","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=2829, right_input=2440, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=-13744, right_input=9872, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=6672","layer":4},{"info":"number node, value=6154","layer":4},{"info":"compute binary expreesion, left_input=6672, right_input=6154, 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=-12052","layer":3},{"info":"number node, value=8060","layer":4},{"info":"number node, value=4790","layer":4},{"info":"compute binary expreesion, left_input=8060, right_input=4790, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=25700","layer":3},{"info":"compute binary expreesion, left_input=-12052, right_input=25700, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-174, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"(∡⪩⨒∯1201032⫘⪩⨒∯201312)⇂≾⫗(⫶⊄≣(⊄⩳↩⪩⨒∯1020300))↡⊰⫅((⪩⨒∯1302122⩵∡⪩⨒∯33331)∑⇟⊟(⪩⨒∯230031⨔≚≋⪩⨒∯212020)⫦⪉⪩⨒∯1220100⨜⨶⪩⨒∯1200022⨻⩈⩔(⪩⨒∯1331330⨸⪁⪩⨒∯1022312))=NaN","reverse_text":"NaN=(∡⪩⨒∯1201032⫘⪩⨒∯201312)⇂≾⫗(⫶⊄≣(⊄⩳↩⪩⨒∯1020300))↡⊰⫅((⪩⨒∯1302122⩵∡⪩⨒∯33331)∑⇟⊟(⪩⨒∯230031⨔≚≋⪩⨒∯212020)⫦⪉⪩⨒∯1220100⨜⨶⪩⨒∯1200022⨻⩈⩔(⪩⨒∯1331330⨸⪁⪩⨒∯1022312))","cot":[{"info":"⪩⨒∯1201032⫘⪩⨒∯201312=⪩⨒∯123323132011","layer":3},{"info":"∡⪩⨒∯123323132011=⪩⨒∯-123323132011","layer":2},{"info":"⊄⩳↩⪩⨒∯1020300=⪩⨒∯-3122100","layer":3},{"info":"⫶⊄≣⪩⨒∯-3122100=Inf","layer":2},{"info":"⪩⨒∯-123323132011⇂≾⫗Inf=NaN","layer":1},{"info":"⪩⨒∯1302122⩵∡⪩⨒∯33331=⪩⨒∯-3112300","layer":3},{"info":"⪩⨒∯230031⨔≚≋⪩⨒∯212020=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯-3112300∑⇟⊟⪩⨒∯2122100=NaN","layer":2},{"info":"⪩⨒∯1220100⨜⨶⪩⨒∯1200022=⪩⨒∯-2330110","layer":3},{"info":"⪩⨒∯1331330⨸⪁⪩⨒∯1022312=⪩⨒∯12101210","layer":3},{"info":"⪩⨒∯-2330110⨻⩈⩔⪩⨒∯12101210=⪩⨒∯-2232","layer":2},{"info":"NaN⫦⪉⪩⨒∯-2232=NaN","layer":1},{"info":"NaN↡⊰⫅NaN=NaN","layer":0}]}
{"id":698,"expression_no_base_symbol":"(⨈⪑(⊤⊝$7212$⊨$5298$))⪟⇏((($2452$⫚⫇)↸$7260$↳∿⪆$3244$)↓(($5285$⩺⪪$4541$)⪡($5213$⫩)))","expression":"(⨈⪑(⊤⊝⪩⨒∯1300230⊨⪩⨒∯1102302))⪟⇏(((⪩⨒∯212110⫚⫇)↸⪩⨒∯1301130↳∿⪆⪩⨒∯302230)↓((⪩⨒∯1102211⩺⪪⪩⨒∯1012331)⪡(⪩⨒∯1101131⫩)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":380224,"operation_count":11,"complexity_ratio":34565.818181818184,"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":7212,"base":4},"right_expr":{"type":"numeric_atoms","value":5298,"base":4}}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"numeric_atoms","value":2452,"base":4}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":7260,"base":4},"right_expr":{"type":"numeric_atoms","value":3244,"base":4}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":5285,"base":4},"right_expr":{"type":"numeric_atoms","value":4541,"base":4}},"right_expr":{"type":"unary","operator":"⫩","unary_expr":{"type":"numeric_atoms","value":5213,"base":4}}}}},"used_operators":["GODebY97qR","mp94q5OcYM","rXAclfmB4M","vg4gO5BX6G","Af076pWI7l","1eCjFl0mb9","SdCjLnB6rR","Cw4SuJJGHO","oraRL2iQuh","uvdQJvN4PV","6aG7x05OhS"],"dependent_operators":["gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","dWAJyo7jo9"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7212","layer":4},{"info":"number node, value=5298","layer":4},{"info":"compute binary expreesion, left_input=7212, right_input=5298, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=29879","layer":3},{"info":"compute unary expreesion, input=29879, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=58460","layer":2},{"info":"compute unary expreesion, input=58460, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":1},{"info":"number node, value=2452","layer":4},{"info":"compute unary expreesion, input=2452, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=3436","layer":3},{"info":"number node, value=7260","layer":4},{"info":"number node, value=3244","layer":4},{"info":"compute binary expreesion, left_input=7260, right_input=3244, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3436, right_input=nan, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3436","layer":2},{"info":"number node, value=5285","layer":4},{"info":"number node, value=4541","layer":4},{"info":"compute binary expreesion, left_input=5285, right_input=4541, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-12802","layer":3},{"info":"number node, value=5213","layer":4},{"info":"compute unary expreesion, input=5213, op_id = 6aG7x05OhS, unary_op_definition = 'a⫩ = { (a⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12802, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=26572","layer":2},{"info":"compute binary expreesion, left_input=3436, right_input=26572, 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=868, right_input=-134, 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":4,"result_base":4,"text":"(⨈⪑(⊤⊝⪩⨒∯1300230⊨⪩⨒∯1102302))⪟⇏(((⪩⨒∯212110⫚⫇)↸⪩⨒∯1301130↳∿⪆⪩⨒∯302230)↓((⪩⨒∯1102211⩺⪪⪩⨒∯1012331)⪡(⪩⨒∯1101131⫩)))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⨈⪑(⊤⊝⪩⨒∯1300230⊨⪩⨒∯1102302))⪟⇏(((⪩⨒∯212110⫚⫇)↸⪩⨒∯1301130↳∿⪆⪩⨒∯302230)↓((⪩⨒∯1102211⩺⪪⪩⨒∯1012331)⪡(⪩⨒∯1101131⫩)))","cot":[{"info":"⪩⨒∯1300230⊨⪩⨒∯1102302=⪩⨒∯13102313","layer":3},{"info":"⊤⊝⪩⨒∯13102313=⪩⨒∯32101130","layer":2},{"info":"⨈⪑⪩⨒∯32101130=⪩⨒∯31210","layer":1},{"info":"⪩⨒∯212110⫚⫇=⪩⨒∯311230","layer":3},{"info":"⪩⨒∯1301130↳∿⪆⪩⨒∯302230=NaN","layer":3},{"info":"⪩⨒∯311230↸NaN=⪩⨒∯311230","layer":2},{"info":"⪩⨒∯1102211⩺⪪⪩⨒∯1012331=⪩⨒∯-3020002","layer":3},{"info":"⪩⨒∯1101131⫩=NaN","layer":3},{"info":"⪩⨒∯-3020002⪡NaN=⪩⨒∯12133030","layer":2},{"info":"⪩⨒∯311230↓⪩⨒∯12133030=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯31210⪟⇏⪩⨒∯-2012=⪩⨒∯0","layer":0}]}
{"id":699,"expression_no_base_symbol":"(($4209$⇷$1133$⩤)*(⩪∧⨌$2082$)∓⋝$4222$⪔⊥$8872$)⩘(($1439$≠≀$1338$⋾⨃∁($1855$⇴∐$1625$))⇷($4147$⪛$1112$⊦⊿))","expression":"((⪩⨒∯1001301⇷⪩⨒∯101231⩤)*(⩪∧⨌⪩⨒∯200202)∓⋝⪩⨒∯1001332⪔⊥⪩⨒∯2022220)⩘((⪩⨒∯112133≠≀⪩⨒∯110322⋾⨃∁(⪩⨒∯130333⇴∐⪩⨒∯121121))⇷(⪩⨒∯1000303⪛⪩⨒∯101120⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":516939,"operation_count":13,"complexity_ratio":39764.53846153846,"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":4209,"base":4},"right_expr":{"type":"numeric_atoms","value":1133,"base":4}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":2082,"base":4}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":4222,"base":4},"right_expr":{"type":"numeric_atoms","value":8872,"base":4}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1439,"base":4},"right_expr":{"type":"numeric_atoms","value":1338,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":1855,"base":4},"right_expr":{"type":"numeric_atoms","value":1625,"base":4}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4147,"base":4},"right_expr":{"type":"numeric_atoms","value":1112,"base":4}}}}},"used_operators":["cHh1gJQ2o6","9HNa5Wba9A","Z2TMIBDE3Q","mp7IySMOzn","PoHhknlbAi","6iOiAJX1F8","HJ9erzHUuu","212REbPD9h","IwW236VD4Y","HnzytWxmAO","14qkJME0vr","uFcxV4UQCh"],"dependent_operators":["23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4209","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=4209, right_input=1133, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2266","layer":3},{"info":"compute unary expreesion, input=2266, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2266","layer":2},{"info":"number node, value=2082","layer":4},{"info":"compute unary expreesion, input=2082, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=20820","layer":3},{"info":"number node, value=4222","layer":4},{"info":"number node, value=8872","layer":4},{"info":"compute binary expreesion, left_input=4222, right_input=8872, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-1055","layer":3},{"info":"compute binary expreesion, left_input=20820, right_input=-1055, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-2266, right_input=67, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-151822","layer":1},{"info":"number node, value=1439","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1439, right_input=1338, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2572","layer":3},{"info":"number node, value=1855","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=1855, right_input=1625, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2572, 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":2},{"info":"number node, value=4147","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=4147, right_input=1112, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=811","layer":3},{"info":"compute unary expreesion, input=811, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-2512","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-2512, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-151822, right_input=nan, op_id = cHh1gJQ2o6 binary_op_definition= 'a⩘b = { (((b⋷b)↼⊘⨖(a⊢6))∺≝⩲((a⪒⊣⊆619)≃(a⊪))) }', output=160","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1001301⇷⪩⨒∯101231⩤)*(⩪∧⨌⪩⨒∯200202)∓⋝⪩⨒∯1001332⪔⊥⪩⨒∯2022220)⩘((⪩⨒∯112133≠≀⪩⨒∯110322⋾⨃∁(⪩⨒∯130333⇴∐⪩⨒∯121121))⇷(⪩⨒∯1000303⪛⪩⨒∯101120⊦⊿))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=((⪩⨒∯1001301⇷⪩⨒∯101231⩤)*(⩪∧⨌⪩⨒∯200202)∓⋝⪩⨒∯1001332⪔⊥⪩⨒∯2022220)⩘((⪩⨒∯112133≠≀⪩⨒∯110322⋾⨃∁(⪩⨒∯130333⇴∐⪩⨒∯121121))⇷(⪩⨒∯1000303⪛⪩⨒∯101120⊦⊿))","cot":[{"info":"⪩⨒∯1001301⇷⪩⨒∯101231=⪩⨒∯203122","layer":3},{"info":"⪩⨒∯203122⩤=⪩⨒∯-203122","layer":2},{"info":"⩪∧⨌⪩⨒∯200202=⪩⨒∯11011110","layer":3},{"info":"⪩⨒∯1001332⪔⊥⪩⨒∯2022220=⪩⨒∯-100133","layer":3},{"info":"⪩⨒∯11011110∓⋝⪩⨒∯-100133=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯-203122*⪩⨒∯1003=⪩⨒∯-211010032","layer":1},{"info":"⪩⨒∯112133≠≀⪩⨒∯110322=⪩⨒∯-220030","layer":3},{"info":"⪩⨒∯130333⇴∐⪩⨒∯121121=NaN","layer":3},{"info":"⪩⨒∯-220030⋾⨃∁NaN=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1000303⪛⪩⨒∯101120=⪩⨒∯30223","layer":3},{"info":"⪩⨒∯30223⊦⊿=⪩⨒∯-213100","layer":2},{"info":"⪩⨒∯2200⇷⪩⨒∯-213100=NaN","layer":1},{"info":"⪩⨒∯-211010032⩘NaN=⪩⨒∯2200","layer":0}]}
{"id":700,"expression_no_base_symbol":"(⋂($6100$⪹))⪨⊡($2264$⩧⪆$6293$)∊∟⩊$2260$↤⩊$3169$⪊≅","expression":"(⋂(⪩⨒∯1133110⪹))⪨⊡(⪩⨒∯203120⩧⪆⪩⨒∯1202111)∊∟⩊⪩⨒∯203110↤⩊⪩⨒∯301201⪊≅","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":349,"operation_count":7,"complexity_ratio":49.857142857142854,"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":6100,"base":4}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2264,"base":4},"right_expr":{"type":"numeric_atoms","value":6293,"base":4}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"numeric_atoms","value":2260,"base":4},"right_expr":{"type":"numeric_atoms","value":3169,"base":4}}}}},"used_operators":["bjFbhXSADs","kuIXHzHcAH","BUOGQAYlQx","B3sABdIn96","ddLRYrp01A","Ikt5ks8PT7","13rbtpv6ld"],"dependent_operators":["COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","eewbuw0ToL","t8gj7n24qd","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6100","layer":4},{"info":"compute unary expreesion, input=6100, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=16692","layer":3},{"info":"compute unary expreesion, input=16692, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-233092","layer":2},{"info":"number node, value=2264","layer":4},{"info":"number node, value=6293","layer":4},{"info":"compute binary expreesion, left_input=2264, right_input=6293, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-6293","layer":3},{"info":"number node, value=2260","layer":4},{"info":"number node, value=3169","layer":4},{"info":"compute binary expreesion, left_input=2260, right_input=3169, 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=-6293, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=31","layer":2},{"info":"compute binary expreesion, left_input=-233092, right_input=31, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=242","layer":1},{"info":"compute unary expreesion, input=242, op_id = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(⋂(⪩⨒∯1133110⪹))⪨⊡(⪩⨒∯203120⩧⪆⪩⨒∯1202111)∊∟⩊⪩⨒∯203110↤⩊⪩⨒∯301201⪊≅=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⋂(⪩⨒∯1133110⪹))⪨⊡(⪩⨒∯203120⩧⪆⪩⨒∯1202111)∊∟⩊⪩⨒∯203110↤⩊⪩⨒∯301201⪊≅","cot":[{"info":"⪩⨒∯1133110⪹=⪩⨒∯10010310","layer":3},{"info":"⋂⪩⨒∯10010310=⪩⨒∯-320322010","layer":2},{"info":"⪩⨒∯203120⩧⪆⪩⨒∯1202111=⪩⨒∯-1202111","layer":3},{"info":"⪩⨒∯203110↤⩊⪩⨒∯301201=NaN","layer":3},{"info":"⪩⨒∯-1202111∊∟⩊NaN=⪩⨒∯133","layer":2},{"info":"⪩⨒∯-320322010⪨⊡⪩⨒∯133=⪩⨒∯3302","layer":1},{"info":"⪩⨒∯3302⪊≅=⪩⨒∯0","layer":0}]}
{"id":701,"expression_no_base_symbol":"($1008$⇻⋧≁$1356$⨟⋌⩍$4945$∺≝⩲$1162$)⨑⩅≇($1631$⨑⩅≇$4641$⫒⫫(↸⊣$2691$))⨸(($5332$⨟⋌⩍$1572$)≦↸($1453$⨔≚≋$2276$)∣(⇤←$4267$⨐⩸⫘$6052$))","expression":"(⪩⨒∯33300⇻⋧≁⪩⨒∯111030⨟⋌⩍⪩⨒∯1031101∺≝⩲⪩⨒∯102022)⨑⩅≇(⪩⨒∯121133⨑⩅≇⪩⨒∯1020201⫒⫫(↸⊣⪩⨒∯222003))⨸((⪩⨒∯1103110⨟⋌⩍⪩⨒∯120210)≦↸(⪩⨒∯112231⨔≚≋⪩⨒∯203210)∣(⇤←⪩⨒∯1002223⨐⩸⫘⪩⨒∯1132210))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":36433,"operation_count":14,"complexity_ratio":2602.3571428571427,"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":1008,"base":4},"right_expr":{"type":"numeric_atoms","value":1356,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":4945,"base":4},"right_expr":{"type":"numeric_atoms","value":1162,"base":4}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":1631,"base":4},"right_expr":{"type":"numeric_atoms","value":4641,"base":4}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":2691,"base":4}}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5332,"base":4},"right_expr":{"type":"numeric_atoms","value":1572,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1453,"base":4},"right_expr":{"type":"numeric_atoms","value":2276,"base":4}}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4267,"base":4},"right_expr":{"type":"numeric_atoms","value":6052,"base":4}}}}},"used_operators":["KmoU8R5UQR","h92wMvzauj","rGHVDoGpnC","jCPkEVoL5K","KPf6cnQVty","6Ko8hGgeMq","wztAlM01eG","PPChnnnBFF","RygbFNSyEJ","Z57zeUYC9z","jfAgQ2OQeM","fu6greOZ01"],"dependent_operators":["ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","Tcnh7f0tEr","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1356, 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=4945","layer":4},{"info":"number node, value=1162","layer":4},{"info":"compute binary expreesion, left_input=4945, right_input=1162, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=160, 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=1631","layer":4},{"info":"number node, value=4641","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=4641, 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=-4893","layer":3},{"info":"number node, value=2691","layer":4},{"info":"compute unary expreesion, input=2691, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2404","layer":3},{"info":"compute binary expreesion, left_input=-4893, right_input=-2404, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=29309","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=29309, 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=5332","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=5332, right_input=1572, 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=1453","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=2276, 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 = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=nan","layer":2},{"info":"number node, value=4267","layer":4},{"info":"number node, value=6052","layer":4},{"info":"compute binary expreesion, left_input=4267, right_input=6052, 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 = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(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 binary expreesion, left_input=0, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯33300⇻⋧≁⪩⨒∯111030⨟⋌⩍⪩⨒∯1031101∺≝⩲⪩⨒∯102022)⨑⩅≇(⪩⨒∯121133⨑⩅≇⪩⨒∯1020201⫒⫫(↸⊣⪩⨒∯222003))⨸((⪩⨒∯1103110⨟⋌⩍⪩⨒∯120210)≦↸(⪩⨒∯112231⨔≚≋⪩⨒∯203210)∣(⇤←⪩⨒∯1002223⨐⩸⫘⪩⨒∯1132210))=NaN","reverse_text":"NaN=(⪩⨒∯33300⇻⋧≁⪩⨒∯111030⨟⋌⩍⪩⨒∯1031101∺≝⩲⪩⨒∯102022)⨑⩅≇(⪩⨒∯121133⨑⩅≇⪩⨒∯1020201⫒⫫(↸⊣⪩⨒∯222003))⨸((⪩⨒∯1103110⨟⋌⩍⪩⨒∯120210)≦↸(⪩⨒∯112231⨔≚≋⪩⨒∯203210)∣(⇤←⪩⨒∯1002223⨐⩸⫘⪩⨒∯1132210))","cot":[{"info":"⪩⨒∯33300⇻⋧≁⪩⨒∯111030=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1031101∺≝⩲⪩⨒∯102022=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-12333⨟⋌⩍⪩⨒∯2200=⪩⨒∯0","layer":2},{"info":"⪩⨒∯121133⨑⩅≇⪩⨒∯1020201=⪩⨒∯-1030131","layer":3},{"info":"↸⊣⪩⨒∯222003=⪩⨒∯-211210","layer":3},{"info":"⪩⨒∯-1030131⫒⫫⪩⨒∯-211210=⪩⨒∯13021331","layer":2},{"info":"⪩⨒∯0⨑⩅≇⪩⨒∯13021331=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1103110⨟⋌⩍⪩⨒∯120210=NaN","layer":3},{"info":"⪩⨒∯112231⨔≚≋⪩⨒∯203210=⪩⨒∯2122100","layer":3},{"info":"NaN≦↸⪩⨒∯2122100=NaN","layer":2},{"info":"⪩⨒∯1002223⨐⩸⫘⪩⨒∯1132210=NaN","layer":3},{"info":"⇤←NaN=NaN","layer":2},{"info":"NaN∣NaN=NaN","layer":1},{"info":"⪩⨒∯0⨸NaN=NaN","layer":0}]}
{"id":702,"expression_no_base_symbol":"((($1690$+⇶⊼$2569$)⩒⫫($1420$⩵∡$4101$))⇀∌)⨿(($4981$∴$5342$⫥∨⫟(≋$4240$))⪭($2097$≬⇓$2927$⊍⩺⋍(⪲⇎$1172$)))","expression":"(((⪩⨒∯122122+⇶⊼⪩⨒∯220021)⩒⫫(⪩⨒∯112030⩵∡⪩⨒∯1000011))⇀∌)⨿((⪩⨒∯1031311∴⪩⨒∯1103132⫥∨⫟(≋⪩⨒∯1002100))⪭(⪩⨒∯200301≬⇓⪩⨒∯231233⊍⩺⋍(⪲⇎⪩⨒∯102110)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":694,"operation_count":12,"complexity_ratio":57.833333333333336,"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":1690,"base":4},"right_expr":{"type":"numeric_atoms","value":2569,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1420,"base":4},"right_expr":{"type":"numeric_atoms","value":4101,"base":4}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":4981,"base":4},"right_expr":{"type":"numeric_atoms","value":5342,"base":4}},"right_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":4240,"base":4}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":2097,"base":4},"right_expr":{"type":"numeric_atoms","value":2927,"base":4}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1172,"base":4}}}}},"used_operators":["abYXlopdE0","2k53nXOpI5","KFSx94NKJn","TpPTUOHfaN","Y7wcNGrDQJ","j9kHMeSvPp","KYD54nUTWz","hrf7POJlIJ","61wBmkZwlr","OXDGMFPWZM","jWTQ2TZYIH","XPYlsWDdGa"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","AHs5Up7iyr","NTOWxs364D","glklzrTFfD","tifHPKVTfV","COABgblf1C","xUOZtlo3hN","8HhzD0ZcuI","rGHVDoGpnC","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1690","layer":4},{"info":"number node, value=2569","layer":4},{"info":"compute binary expreesion, left_input=1690, right_input=2569, 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=1420","layer":4},{"info":"number node, value=4101","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=4101, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=1140","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1140, 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 unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":1},{"info":"number node, value=4981","layer":4},{"info":"number node, value=5342","layer":4},{"info":"compute binary expreesion, left_input=4981, right_input=5342, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=11610","layer":3},{"info":"number node, value=4240","layer":4},{"info":"compute unary expreesion, input=4240, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=4240","layer":3},{"info":"compute binary expreesion, left_input=11610, right_input=4240, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2097","layer":4},{"info":"number node, value=2927","layer":4},{"info":"compute binary expreesion, left_input=2097, right_input=2927, 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=1172","layer":4},{"info":"compute unary expreesion, input=1172, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2344","layer":3},{"info":"compute binary expreesion, left_input=-22, right_input=2344, 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 = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯122122+⇶⊼⪩⨒∯220021)⩒⫫(⪩⨒∯112030⩵∡⪩⨒∯1000011))⇀∌)⨿((⪩⨒∯1031311∴⪩⨒∯1103132⫥∨⫟(≋⪩⨒∯1002100))⪭(⪩⨒∯200301≬⇓⪩⨒∯231233⊍⩺⋍(⪲⇎⪩⨒∯102110)))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=(((⪩⨒∯122122+⇶⊼⪩⨒∯220021)⩒⫫(⪩⨒∯112030⩵∡⪩⨒∯1000011))⇀∌)⨿((⪩⨒∯1031311∴⪩⨒∯1103132⫥∨⫟(≋⪩⨒∯1002100))⪭(⪩⨒∯200301≬⇓⪩⨒∯231233⊍⩺⋍(⪲⇎⪩⨒∯102110)))","cot":[{"info":"⪩⨒∯122122+⇶⊼⪩⨒∯220021=NaN","layer":3},{"info":"⪩⨒∯112030⩵∡⪩⨒∯1000011=⪩⨒∯101310","layer":3},{"info":"NaN⩒⫫⪩⨒∯101310=NaN","layer":2},{"info":"NaN⇀∌=NaN","layer":1},{"info":"⪩⨒∯1031311∴⪩⨒∯1103132=⪩⨒∯2311122","layer":3},{"info":"≋⪩⨒∯1002100=⪩⨒∯1002100","layer":3},{"info":"⪩⨒∯2311122⫥∨⫟⪩⨒∯1002100=NaN","layer":2},{"info":"⪩⨒∯200301≬⇓⪩⨒∯231233=⪩⨒∯-112","layer":3},{"info":"⪲⇎⪩⨒∯102110=⪩⨒∯210220","layer":3},{"info":"⪩⨒∯-112⊍⩺⋍⪩⨒∯210220=NaN","layer":2},{"info":"NaN⪭NaN=NaN","layer":1},{"info":"NaN⨿NaN=⪩⨒∯1003","layer":0}]}
{"id":703,"expression_no_base_symbol":"⊀(($7642$⊭↱$3139$)∵≐)↳≱((→⩰$6667$)⊢(∑⇻≧$2158$))","expression":"⊀((⪩⨒∯1313122⊭↱⪩⨒∯301003)∵≐)↳≱((→⩰⪩⨒∯1220023)⊢(∑⇻≧⪩⨒∯201232))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7177,"operation_count":7,"complexity_ratio":1025.2857142857142,"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":7642,"base":4},"right_expr":{"type":"numeric_atoms","value":3139,"base":4}}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"unary","operator":"→⩰","unary_expr":{"type":"numeric_atoms","value":6667,"base":4}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":2158,"base":4}}}}},"used_operators":["oPMjh9089D","JwTKLfZU96","59igzFyhWz","COABgblf1C","5twsqlHp2o","o8Pngz0Tml","l1M9WJ3V7u"],"dependent_operators":["Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","DZ8iAZOCBD","8w2t5hMYqp","Ph9nP6C5qx","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","4X4GscPmMf","YbUVn0Rbpy","Nsiff2A1zJ","l1M9WJ3V7u","eewbuw0ToL","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN"],"result":"⪩⨒∯-10012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7642","layer":4},{"info":"number node, value=3139","layer":4},{"info":"compute binary expreesion, left_input=7642, right_input=3139, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9001","layer":3},{"info":"compute unary expreesion, input=-9001, op_id = 59igzFyhWz, unary_op_definition = 'a∵≐ = { ((a⊉≛↸31)⋳⪒(101+a)) , if a<=828 ; ((⊄⩳↩a)≧⫂∧(a≧⫂∧a)) , else }', output=8551","layer":2},{"info":"number node, value=6667","layer":4},{"info":"compute unary expreesion, input=6667, op_id = o8Pngz0Tml, unary_op_definition = '→⩰a = { ((∑⇻≧(a⋛a))⨰((a⊴a)⩷∴(a⨕⋳))) }', output=nan","layer":3},{"info":"number node, value=2158","layer":4},{"info":"compute unary expreesion, input=2158, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-852, 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=8551, right_input=nan, 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 = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=-262","layer":0}],"base":4,"result_base":4,"text":"⊀((⪩⨒∯1313122⊭↱⪩⨒∯301003)∵≐)↳≱((→⩰⪩⨒∯1220023)⊢(∑⇻≧⪩⨒∯201232))=⪩⨒∯-10012","reverse_text":"⪩⨒∯-10012=⊀((⪩⨒∯1313122⊭↱⪩⨒∯301003)∵≐)↳≱((→⩰⪩⨒∯1220023)⊢(∑⇻≧⪩⨒∯201232))","cot":[{"info":"⪩⨒∯1313122⊭↱⪩⨒∯301003=⪩⨒∯-2030221","layer":3},{"info":"⪩⨒∯-2030221∵≐=⪩⨒∯2011213","layer":2},{"info":"→⩰⪩⨒∯1220023=NaN","layer":3},{"info":"∑⇻≧⪩⨒∯201232=⪩⨒∯-31110","layer":3},{"info":"NaN⊢⪩⨒∯-31110=NaN","layer":2},{"info":"⪩⨒∯2011213↳≱NaN=⪩⨒∯0","layer":1},{"info":"⊀⪩⨒∯0=⪩⨒∯-10012","layer":0}]}
{"id":704,"expression_no_base_symbol":"(⩷⨜⫀($1517$⇷$1969$))≀⫉($5028$↱$1001$∕⩚$3191$≥⨤⩑$1336$)⪎⩰","expression":"(⩷⨜⫀(⪩⨒∯113231⇷⪩⨒∯132301))≀⫉(⪩⨒∯1032210↱⪩⨒∯33221∕⩚⪩⨒∯301313≥⨤⩑⪩⨒∯110320)⪎⩰","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":23952,"operation_count":7,"complexity_ratio":3421.714285714286,"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":1517,"base":4},"right_expr":{"type":"numeric_atoms","value":1969,"base":4}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5028,"base":4},"right_expr":{"type":"numeric_atoms","value":1001,"base":4}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":3191,"base":4},"right_expr":{"type":"numeric_atoms","value":1336,"base":4}}}}},"used_operators":["2ufhKmSs5H","oZj3VtZNQx","CDi0ktkjQ4","mp7IySMOzn","z9ffQ9n5Zr","SR5kFfdi6N","gJLn6v0xnP"],"dependent_operators":["DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","ruOEQAzv1W","nhYeJWJD5X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"⪩⨒∯-202","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1517","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=1969, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3938","layer":3},{"info":"compute unary expreesion, input=3938, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-3665","layer":2},{"info":"number node, value=5028","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5028, right_input=1001, 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=-2481","layer":3},{"info":"number node, value=3191","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=3191, right_input=1336, 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=-2481, right_input=1234, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-2484","layer":2},{"info":"compute binary expreesion, left_input=-3665, right_input=-2484, 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 = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":0}],"base":4,"result_base":4,"text":"(⩷⨜⫀(⪩⨒∯113231⇷⪩⨒∯132301))≀⫉(⪩⨒∯1032210↱⪩⨒∯33221∕⩚⪩⨒∯301313≥⨤⩑⪩⨒∯110320)⪎⩰=⪩⨒∯-202","reverse_text":"⪩⨒∯-202=(⩷⨜⫀(⪩⨒∯113231⇷⪩⨒∯132301))≀⫉(⪩⨒∯1032210↱⪩⨒∯33221∕⩚⪩⨒∯301313≥⨤⩑⪩⨒∯110320)⪎⩰","cot":[{"info":"⪩⨒∯113231⇷⪩⨒∯132301=⪩⨒∯331202","layer":3},{"info":"⩷⨜⫀⪩⨒∯331202=⪩⨒∯-321101","layer":2},{"info":"⪩⨒∯1032210↱⪩⨒∯33221=⪩⨒∯-212301","layer":3},{"info":"⪩⨒∯301313≥⨤⩑⪩⨒∯110320=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-212301∕⩚⪩⨒∯103102=⪩⨒∯-212310","layer":2},{"info":"⪩⨒∯-321101≀⫉⪩⨒∯-212310=⪩⨒∯230012","layer":1},{"info":"⪩⨒∯230012⪎⩰=⪩⨒∯-202","layer":0}]}
{"id":705,"expression_no_base_symbol":"(⇜⊴$3557$)≚⊃≕$3732$∘$1728$≀⫉($1065$∀⊥⇻)⫗⊷⫓($4144$⊲⩕⊾$2762$)⊹≧⊝","expression":"(⇜⊴⪩⨒∯313211)≚⊃≕⪩⨒∯322110∘⪩⨒∯123000≀⫉(⪩⨒∯100221∀⊥⇻)⫗⊷⫓(⪩⨒∯1000300⊲⩕⊾⪩⨒∯223022)⊹≧⊝","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":982,"operation_count":8,"complexity_ratio":122.75,"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":3557,"base":4}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":3732,"base":4},"right_expr":{"type":"numeric_atoms","value":1728,"base":4}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":1065,"base":4}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4144,"base":4},"right_expr":{"type":"numeric_atoms","value":2762,"base":4}}}}},"used_operators":["LxFB4K6j0n","oZj3VtZNQx","Bmrmz2XGnR","XwDhCwWbUn","Z5m6OM72h2","zashukvMKz","k4iM1060OG","DmTXOeWf9t"],"dependent_operators":["NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","eH2TOUuTDT","rysDP5nf3Z","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⪩⨒∯-2300120","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3557","layer":4},{"info":"compute unary expreesion, input=3557, 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=-825738","layer":3},{"info":"number node, value=3732","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=3732, right_input=1728, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=7464","layer":3},{"info":"compute binary expreesion, left_input=-825738, right_input=7464, 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=-3288190","layer":2},{"info":"number node, value=1065","layer":4},{"info":"compute unary expreesion, input=1065, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=4144","layer":4},{"info":"number node, value=2762","layer":4},{"info":"compute binary expreesion, left_input=4144, right_input=2762, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-90554","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-90554, 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=-3288190, right_input=-134, 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 = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-11288","layer":0}],"base":4,"result_base":4,"text":"(⇜⊴⪩⨒∯313211)≚⊃≕⪩⨒∯322110∘⪩⨒∯123000≀⫉(⪩⨒∯100221∀⊥⇻)⫗⊷⫓(⪩⨒∯1000300⊲⩕⊾⪩⨒∯223022)⊹≧⊝=⪩⨒∯-2300120","reverse_text":"⪩⨒∯-2300120=(⇜⊴⪩⨒∯313211)≚⊃≕⪩⨒∯322110∘⪩⨒∯123000≀⫉(⪩⨒∯100221∀⊥⇻)⫗⊷⫓(⪩⨒∯1000300⊲⩕⊾⪩⨒∯223022)⊹≧⊝","cot":[{"info":"⇜⊴⪩⨒∯313211=⪩⨒∯-3021212022","layer":3},{"info":"⪩⨒∯322110∘⪩⨒∯123000=⪩⨒∯1310220","layer":3},{"info":"⪩⨒∯-3021212022≚⊃≕⪩⨒∯1310220=⪩⨒∯-30202301332","layer":2},{"info":"⪩⨒∯100221∀⊥⇻=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1000300⊲⩕⊾⪩⨒∯223022=⪩⨒∯-112012322","layer":3},{"info":"⪩⨒∯0⫗⊷⫓⪩⨒∯-112012322=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯-30202301332≀⫉⪩⨒∯-2012=⪩⨒∯230012","layer":1},{"info":"⪩⨒∯230012⊹≧⊝=⪩⨒∯-2300120","layer":0}]}
{"id":706,"expression_no_base_symbol":"((⇾⩊⇾$1144$)≴⪞⇿($1507$⨵⪆$4609$)⋘⨑⨽)⇴((≻⋜$1190$)↙$1494$∳⫺$1640$)⪛(≱⇩⩕$1341$)≁↽≥($1082$↞⋁$1916$)","expression":"((⇾⩊⇾⪩⨒∯101320)≴⪞⇿(⪩⨒∯113203⨵⪆⪩⨒∯1020001)⋘⨑⨽)⇴((≻⋜⪩⨒∯102212)↙⪩⨒∯113112∳⫺⪩⨒∯121220)⪛(≱⇩⩕⪩⨒∯110331)≁↽≥(⪩⨒∯100322↞⋁⪩⨒∯131330)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6185,"operation_count":12,"complexity_ratio":515.4166666666666,"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":1144,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1507,"base":4},"right_expr":{"type":"numeric_atoms","value":4609,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":1190,"base":4}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1494,"base":4},"right_expr":{"type":"numeric_atoms","value":1640,"base":4}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"unary","operator":"≱⇩⩕","unary_expr":{"type":"numeric_atoms","value":1341,"base":4}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1082,"base":4},"right_expr":{"type":"numeric_atoms","value":1916,"base":4}}}}},"used_operators":["4JB6nKBMSY","WmT3o8z6ya","lvlrscuwVU","bx9Z9DAK5y","2DQ55sFlQl","uFcxV4UQCh","yyfyN0ffXY","3tj9sqzovi","AzXXKTstlj","ncHt1X6cMc","3DZMoQKiUl","RqrPlJkxDo"],"dependent_operators":["sdazOOVcIp","NTOWxs364D","COABgblf1C","W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","oWn0xqSxBt","3Oe9XWJUTD","AFVx7xoS7T","12rbrZMWeM","xNBdhnnwKq","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1144","layer":4},{"info":"compute unary expreesion, input=1144, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-16782","layer":3},{"info":"number node, value=1507","layer":4},{"info":"number node, value=4609","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=4609, 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=-16782, right_input=160, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-205884","layer":2},{"info":"compute unary expreesion, input=-205884, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=-1028637","layer":1},{"info":"number node, value=1190","layer":4},{"info":"compute unary expreesion, input=1190, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"number node, value=1494","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=1640, 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 = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1341","layer":4},{"info":"compute unary expreesion, input=1341, op_id = 3DZMoQKiUl, unary_op_definition = '≱⇩⩕a = { (((a⋳⪒a)⊭∹↮)⇌⫙⪟a) }', output=113","layer":3},{"info":"number node, value=1082","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=1916, 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 = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , 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":"compute binary expreesion, left_input=-1028637, right_input=nan, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⇾⩊⇾⪩⨒∯101320)≴⪞⇿(⪩⨒∯113203⨵⪆⪩⨒∯1020001)⋘⨑⨽)⇴((≻⋜⪩⨒∯102212)↙⪩⨒∯113112∳⫺⪩⨒∯121220)⪛(≱⇩⩕⪩⨒∯110331)≁↽≥(⪩⨒∯100322↞⋁⪩⨒∯131330)=NaN","reverse_text":"NaN=((⇾⩊⇾⪩⨒∯101320)≴⪞⇿(⪩⨒∯113203⨵⪆⪩⨒∯1020001)⋘⨑⨽)⇴((≻⋜⪩⨒∯102212)↙⪩⨒∯113112∳⫺⪩⨒∯121220)⪛(≱⇩⩕⪩⨒∯110331)≁↽≥(⪩⨒∯100322↞⋁⪩⨒∯131330)","cot":[{"info":"⇾⩊⇾⪩⨒∯101320=⪩⨒∯-10012032","layer":3},{"info":"⪩⨒∯113203⨵⪆⪩⨒∯1020001=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-10012032≴⪞⇿⪩⨒∯2200=⪩⨒∯-302100330","layer":2},{"info":"⪩⨒∯-302100330⋘⨑⨽=⪩⨒∯-3323020131","layer":1},{"info":"≻⋜⪩⨒∯102212=NaN","layer":3},{"info":"⪩⨒∯113112∳⫺⪩⨒∯121220=⪩⨒∯-10010","layer":3},{"info":"NaN↙⪩⨒∯-10010=NaN","layer":2},{"info":"≱⇩⩕⪩⨒∯110331=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯100322↞⋁⪩⨒∯131330=NaN","layer":3},{"info":"⪩⨒∯1301≁↽≥NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⪩⨒∯-3323020131⇴NaN=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"(⪝⪂⫅$5440$∼$2720$)≚⊃≕$5874$⋕⪉⪜$1222$∘($7102$⩍⋽⫝̸$5220$)≬⇓(⇋⊎⋝(⫛⫱⨽($1897$⪢$1258$)))","expression":"(⪝⪂⫅⪩⨒∯1111000∼⪩⨒∯222200)≚⊃≕⪩⨒∯1123302⋕⪉⪜⪩⨒∯103012∘(⪩⨒∯1232332⩍⋽⫝̸⪩⨒∯1101210)≬⇓(⇋⊎⋝(⫛⫱⨽(⪩⨒∯131221⪢⪩⨒∯103222)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3056,"operation_count":10,"complexity_ratio":305.6,"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":5440,"base":4},"right_expr":{"type":"numeric_atoms","value":2720,"base":4}}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":5874,"base":4},"right_expr":{"type":"numeric_atoms","value":1222,"base":4}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":7102,"base":4},"right_expr":{"type":"numeric_atoms","value":5220,"base":4}}}},"right_expr":{"type":"unary","operator":"⇋⊎⋝","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1897,"base":4},"right_expr":{"type":"numeric_atoms","value":1258,"base":4}}}}},"used_operators":["jWTQ2TZYIH","Bmrmz2XGnR","XTarYq4gQB","DyGG3AbaNP","Z5m6OM72h2","z6LnFrNh4i","BiWNJpBvwn","CzM2PEoXns","DlLNRPXxWL","dWAJyo7jo9"],"dependent_operators":["AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","eH2TOUuTDT","rysDP5nf3Z","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","Ph9nP6C5qx","xUOZtlo3hN","dWAJyo7jo9","rGHVDoGpnC","k8jYdgA6NY"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=5440","layer":4},{"info":"number node, value=2720","layer":4},{"info":"compute binary expreesion, left_input=5440, right_input=2720, 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 = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"number node, value=5874","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=5874, right_input=1222, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"number node, value=7102","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=7102, right_input=5220, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=4274","layer":3},{"info":"compute binary expreesion, left_input=2802, right_input=4274, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=5604","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5604, 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":"number node, value=1897","layer":4},{"info":"number node, value=1258","layer":4},{"info":"compute binary expreesion, left_input=1897, right_input=1258, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = CzM2PEoXns, unary_op_definition = '⇋⊎⋝a = { (a⪢a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(⪝⪂⫅⪩⨒∯1111000∼⪩⨒∯222200)≚⊃≕⪩⨒∯1123302⋕⪉⪜⪩⨒∯103012∘(⪩⨒∯1232332⩍⋽⫝̸⪩⨒∯1101210)≬⇓(⇋⊎⋝(⫛⫱⨽(⪩⨒∯131221⪢⪩⨒∯103222)))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⪝⪂⫅⪩⨒∯1111000∼⪩⨒∯222200)≚⊃≕⪩⨒∯1123302⋕⪉⪜⪩⨒∯103012∘(⪩⨒∯1232332⩍⋽⫝̸⪩⨒∯1101210)≬⇓(⇋⊎⋝(⫛⫱⨽(⪩⨒∯131221⪢⪩⨒∯103222)))","cot":[{"info":"⪩⨒∯1111000∼⪩⨒∯222200=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⪩⨒∯1123302⋕⪉⪜⪩⨒∯103012=⪩⨒∯223302","layer":3},{"info":"⪩⨒∯1232332⩍⋽⫝̸⪩⨒∯1101210=⪩⨒∯1002302","layer":3},{"info":"⪩⨒∯223302∘⪩⨒∯1002302=⪩⨒∯1113210","layer":2},{"info":"NaN≚⊃≕⪩⨒∯1113210=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯131221⪢⪩⨒∯103222=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⇋⊎⋝NaN=NaN","layer":1},{"info":"⪩⨒∯1003≬⇓NaN=⪩⨒∯0","layer":0}]}
{"id":708,"expression_no_base_symbol":"(($8166$⫔⩽⩺$1640$)⫒⫫$2535$⫁$3632$)∴((≪$6395$)⪕($1176$↺$8233$))∖($8405$⨽$4531$)⨰(∑⇻≧$1137$)⩧⪆(($1716$∕⩚$5723$)⋻⩜⩜(⇉-⫰$2818$))","expression":"((⪩⨒∯1333212⫔⩽⩺⪩⨒∯121220)⫒⫫⪩⨒∯213213⫁⪩⨒∯320300)∴((≪⪩⨒∯1203323)⪕(⪩⨒∯102120↺⪩⨒∯2000221))∖(⪩⨒∯2003111⨽⪩⨒∯1012303)⨰(∑⇻≧⪩⨒∯101301)⩧⪆((⪩⨒∯122310∕⩚⪩⨒∯1121123)⋻⩜⩜(⇉-⫰⪩⨒∯230002))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10829,"operation_count":15,"complexity_ratio":721.9333333333333,"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":8166,"base":4},"right_expr":{"type":"numeric_atoms","value":1640,"base":4}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":2535,"base":4},"right_expr":{"type":"numeric_atoms","value":3632,"base":4}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":6395,"base":4}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1176,"base":4},"right_expr":{"type":"numeric_atoms","value":8233,"base":4}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8405,"base":4},"right_expr":{"type":"numeric_atoms","value":4531,"base":4}},"right_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":1137,"base":4}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1716,"base":4},"right_expr":{"type":"numeric_atoms","value":5723,"base":4}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"numeric_atoms","value":2818,"base":4}}}}},"used_operators":["tXD093vOjl","hrf7POJlIJ","6Ko8hGgeMq","i9eR4S00cU","0ajvFaJAv0","umQnsF7QlU","Qtd6bqUJcN","7j4O788W3g","Ikt5ks8PT7","eewbuw0ToL","8HhzD0ZcuI","l1M9WJ3V7u","oDCm7WA9JY","z9ffQ9n5Zr","IGFM8TAlm9"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","Tw270M8GLb","fu6greOZ01","cHh1gJQ2o6","AHs5Up7iyr","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eH2TOUuTDT","eewbuw0ToL"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8166","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=8166, right_input=1640, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=2535","layer":4},{"info":"number node, value=3632","layer":4},{"info":"compute binary expreesion, left_input=2535, right_input=3632, 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=nan, right_input=160, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":2},{"info":"number node, value=6395","layer":4},{"info":"compute unary expreesion, input=6395, 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=1176","layer":4},{"info":"number node, value=8233","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=8233, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=8233","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=8233, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=nan","layer":1},{"info":"number node, value=8405","layer":4},{"info":"number node, value=4531","layer":4},{"info":"compute binary expreesion, left_input=8405, right_input=4531, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-211944354","layer":3},{"info":"number node, value=1137","layer":4},{"info":"compute unary expreesion, input=1137, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"compute binary expreesion, left_input=-211944354, right_input=-852, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-211943492","layer":2},{"info":"number node, value=1716","layer":4},{"info":"number node, value=5723","layer":4},{"info":"compute binary expreesion, left_input=1716, right_input=5723, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1719","layer":3},{"info":"number node, value=2818","layer":4},{"info":"compute unary expreesion, input=2818, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=-1719, right_input=20, 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=-211943492, right_input=nan, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', 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":4,"result_base":4,"text":"((⪩⨒∯1333212⫔⩽⩺⪩⨒∯121220)⫒⫫⪩⨒∯213213⫁⪩⨒∯320300)∴((≪⪩⨒∯1203323)⪕(⪩⨒∯102120↺⪩⨒∯2000221))∖(⪩⨒∯2003111⨽⪩⨒∯1012303)⨰(∑⇻≧⪩⨒∯101301)⩧⪆((⪩⨒∯122310∕⩚⪩⨒∯1121123)⋻⩜⩜(⇉-⫰⪩⨒∯230002))=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯1333212⫔⩽⩺⪩⨒∯121220)⫒⫫⪩⨒∯213213⫁⪩⨒∯320300)∴((≪⪩⨒∯1203323)⪕(⪩⨒∯102120↺⪩⨒∯2000221))∖(⪩⨒∯2003111⨽⪩⨒∯1012303)⨰(∑⇻≧⪩⨒∯101301)⩧⪆((⪩⨒∯122310∕⩚⪩⨒∯1121123)⋻⩜⩜(⇉-⫰⪩⨒∯230002))","cot":[{"info":"⪩⨒∯1333212⫔⩽⩺⪩⨒∯121220=NaN","layer":3},{"info":"⪩⨒∯213213⫁⪩⨒∯320300=⪩⨒∯2200","layer":3},{"info":"NaN⫒⫫⪩⨒∯2200=NaN","layer":2},{"info":"≪⪩⨒∯1203323=⪩⨒∯32101","layer":3},{"info":"⪩⨒∯102120↺⪩⨒∯2000221=⪩⨒∯2000221","layer":3},{"info":"⪩⨒∯32101⪕⪩⨒∯2000221=⪩⨒∯-313","layer":2},{"info":"NaN∴⪩⨒∯-313=NaN","layer":1},{"info":"⪩⨒∯2003111⨽⪩⨒∯1012303=⪩⨒∯-30220200032202","layer":3},{"info":"∑⇻≧⪩⨒∯101301=⪩⨒∯-31110","layer":3},{"info":"⪩⨒∯-30220200032202⨰⪩⨒∯-31110=⪩⨒∯-30220200001010","layer":2},{"info":"⪩⨒∯122310∕⩚⪩⨒∯1121123=⪩⨒∯-122313","layer":3},{"info":"⇉-⫰⪩⨒∯230002=⪩⨒∯110","layer":3},{"info":"⪩⨒∯-122313⋻⩜⩜⪩⨒∯110=NaN","layer":2},{"info":"⪩⨒∯-30220200001010⩧⪆NaN=NaN","layer":1},{"info":"NaN∖NaN=⪩⨒∯0","layer":0}]}
{"id":709,"expression_no_base_symbol":"(↓⇌($1265$⪗))↳≱($6308$∓⋝$5215$⊊)⫔⩽⩺($5543$/$5575$)⩖⊿(↯⪼$1698$)⨭⪣($9507$⫯⪬∳$3392$⨲∙)","expression":"(↓⇌(⪩⨒∯103301⪗))↳≱(⪩⨒∯1202210∓⋝⪩⨒∯1101133⊊)⫔⩽⩺(⪩⨒∯1112213/⪩⨒∯1113013)⩖⊿(↯⪼⪩⨒∯122202)⨭⪣(⪩⨒∯2110203⫯⪬∳⪩⨒∯311000⨲∙)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":468169,"operation_count":12,"complexity_ratio":39014.083333333336,"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":1265,"base":4}}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":6308,"base":4},"right_expr":{"type":"numeric_atoms","value":5215,"base":4}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5543,"base":4},"right_expr":{"type":"numeric_atoms","value":5575,"base":4}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1698,"base":4}}},"right_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":9507,"base":4},"right_expr":{"type":"numeric_atoms","value":3392,"base":4}}}}},"used_operators":["i9eR4S00cU","JwTKLfZU96","PxpmPgHHJV","VEQNXA0ZBg","W9R8I5fN5A","PoHhknlbAi","kn8WO9XteQ","RZ5CV9rWsJ","XhwjNDsVaA","8jW3W4yZS5","cRahaglYVE","d7ASUq0ydm"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","dWAJyo7jo9","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢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=6308","layer":4},{"info":"number node, value=5215","layer":4},{"info":"compute binary expreesion, left_input=6308, right_input=5215, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=nan, right_input=90927, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"number node, value=5543","layer":4},{"info":"number node, value=5575","layer":4},{"info":"compute binary expreesion, left_input=5543, right_input=5575, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1698","layer":4},{"info":"compute unary expreesion, input=1698, 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=0, right_input=-21, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1956","layer":2},{"info":"number node, value=9507","layer":4},{"info":"number node, value=3392","layer":4},{"info":"compute binary expreesion, left_input=9507, right_input=3392, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=44176","layer":3},{"info":"compute unary expreesion, input=44176, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=593216950","layer":2},{"info":"compute binary expreesion, left_input=1956, right_input=593216950, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=677","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=677, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↓⇌(⪩⨒∯103301⪗))↳≱(⪩⨒∯1202210∓⋝⪩⨒∯1101133⊊)⫔⩽⩺(⪩⨒∯1112213/⪩⨒∯1113013)⩖⊿(↯⪼⪩⨒∯122202)⨭⪣(⪩⨒∯2110203⫯⪬∳⪩⨒∯311000⨲∙)=NaN","reverse_text":"NaN=(↓⇌(⪩⨒∯103301⪗))↳≱(⪩⨒∯1202210∓⋝⪩⨒∯1101133⊊)⫔⩽⩺(⪩⨒∯1112213/⪩⨒∯1113013)⩖⊿(↯⪼⪩⨒∯122202)⨭⪣(⪩⨒∯2110203⫯⪬∳⪩⨒∯311000⨲∙)","cot":[{"info":"⪩⨒∯103301⪗=NaN","layer":3},{"info":"↓⇌NaN=NaN","layer":2},{"info":"⪩⨒∯1202210∓⋝⪩⨒∯1101133=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1003⊊=⪩⨒∯112030233","layer":2},{"info":"NaN↳≱⪩⨒∯112030233=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1112213/⪩⨒∯1113013=⪩⨒∯0","layer":3},{"info":"↯⪼⪩⨒∯122202=⪩⨒∯-111","layer":3},{"info":"⪩⨒∯0⩖⊿⪩⨒∯-111=⪩⨒∯132210","layer":2},{"info":"⪩⨒∯2110203⫯⪬∳⪩⨒∯311000=⪩⨒∯22302100","layer":3},{"info":"⪩⨒∯22302100⨲∙=⪩⨒∯203112330112312","layer":2},{"info":"⪩⨒∯132210⨭⪣⪩⨒∯203112330112312=⪩⨒∯22211","layer":1},{"info":"⪩⨒∯0⫔⩽⩺⪩⨒∯22211=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"⫇(($3114$⪨⊡$1231$⊍⩺⋍$2833$↹⊜$4067$)≀⩗∶($2749$⊬⨰$4773$)⨽∌($1685$⫰⋱$3185$))","expression":"⫇((⪩⨒∯300222⪨⊡⪩⨒∯103033⊍⩺⋍⪩⨒∯230101↹⊜⪩⨒∯333203)≀⩗∶(⪩⨒∯222331⊬⨰⪩⨒∯1022211)⨽∌(⪩⨒∯122111⫰⋱⪩⨒∯301301))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":377,"operation_count":8,"complexity_ratio":47.125,"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":3114,"base":4},"right_expr":{"type":"numeric_atoms","value":1231,"base":4}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2833,"base":4},"right_expr":{"type":"numeric_atoms","value":4067,"base":4}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2749,"base":4},"right_expr":{"type":"numeric_atoms","value":4773,"base":4}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1685,"base":4},"right_expr":{"type":"numeric_atoms","value":3185,"base":4}}}}},"used_operators":["YjI8oCXuph","8INZBEW696","OXDGMFPWZM","kuIXHzHcAH","9bazX3JMtO","9samAPKr6k","s3Fd5m9Dh2","6o9Blt3TJ6"],"dependent_operators":["rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3114","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=1231, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2833","layer":4},{"info":"number node, value=4067","layer":4},{"info":"compute binary expreesion, left_input=2833, right_input=4067, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-10698","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10698, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=2749","layer":4},{"info":"number node, value=4773","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=4773, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=20785","layer":3},{"info":"number node, value=1685","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=3185, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1652","layer":3},{"info":"compute binary expreesion, left_input=20785, right_input=-1652, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', 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":4,"result_base":4,"text":"⫇((⪩⨒∯300222⪨⊡⪩⨒∯103033⊍⩺⋍⪩⨒∯230101↹⊜⪩⨒∯333203)≀⩗∶(⪩⨒∯222331⊬⨰⪩⨒∯1022211)⨽∌(⪩⨒∯122111⫰⋱⪩⨒∯301301))=NaN","reverse_text":"NaN=⫇((⪩⨒∯300222⪨⊡⪩⨒∯103033⊍⩺⋍⪩⨒∯230101↹⊜⪩⨒∯333203)≀⩗∶(⪩⨒∯222331⊬⨰⪩⨒∯1022211)⨽∌(⪩⨒∯122111⫰⋱⪩⨒∯301301))","cot":[{"info":"⪩⨒∯300222⪨⊡⪩⨒∯103033=⪩⨒∯0","layer":3},{"info":"⪩⨒∯230101↹⊜⪩⨒∯333203=⪩⨒∯-2213022","layer":3},{"info":"⪩⨒∯0⊍⩺⋍⪩⨒∯-2213022=NaN","layer":2},{"info":"⪩⨒∯222331⊬⨰⪩⨒∯1022211=⪩⨒∯11010301","layer":3},{"info":"⪩⨒∯122111⫰⋱⪩⨒∯301301=⪩⨒∯-121310","layer":3},{"info":"⪩⨒∯11010301⨽∌⪩⨒∯-121310=⪩⨒∯0","layer":2},{"info":"NaN≀⩗∶⪩⨒∯0=NaN","layer":1},{"info":"⫇NaN=NaN","layer":0}]}
{"id":711,"expression_no_base_symbol":"(($3992$≚⊃≕$7095$)⫞⩸⩒($1264$⫌⩉⩟$3714$)⫃⨇$1825$≎⪠$2621$↓($2200$⨟⋌⩍$2291$))⪒⊣⊆((⇁⨣⪵$4615$)⪚($1089$⫔⩽⩺$4274$)⩺⪪($3064$⫸⇳$7346$)⩚⊴⇥$2118$⩍⋽⫝̸$2282$)","expression":"((⪩⨒∯332120≚⊃≕⪩⨒∯1232313)⫞⩸⩒(⪩⨒∯103300⫌⩉⩟⪩⨒∯322002)⫃⨇⪩⨒∯130201≎⪠⪩⨒∯220331↓(⪩⨒∯202120⨟⋌⩍⪩⨒∯203303))⪒⊣⊆((⇁⨣⪵⪩⨒∯1020013)⪚(⪩⨒∯101001⫔⩽⩺⪩⨒∯1002302)⩺⪪(⪩⨒∯233320⫸⇳⪩⨒∯1302302)⩚⊴⇥⪩⨒∯201012⩍⋽⫝̸⪩⨒∯203222)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":38896,"operation_count":15,"complexity_ratio":2593.0666666666666,"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":3992,"base":4},"right_expr":{"type":"numeric_atoms","value":7095,"base":4}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1264,"base":4},"right_expr":{"type":"numeric_atoms","value":3714,"base":4}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1825,"base":4},"right_expr":{"type":"numeric_atoms","value":2621,"base":4}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2200,"base":4},"right_expr":{"type":"numeric_atoms","value":2291,"base":4}}}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4615,"base":4}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":1089,"base":4},"right_expr":{"type":"numeric_atoms","value":4274,"base":4}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3064,"base":4},"right_expr":{"type":"numeric_atoms","value":7346,"base":4}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2118,"base":4},"right_expr":{"type":"numeric_atoms","value":2282,"base":4}}}}},"used_operators":["eRqsBgTDFp","09Ly4LVMIf","XGcMNugi78","Bmrmz2XGnR","XIIwhv8d0m","Af076pWI7l","aNhz54LH3e","rGHVDoGpnC","uvdQJvN4PV","HrjLwUk87U","inkyxCbjAn","i9eR4S00cU","NTOWxs364D","gx7XJ7hdpj","BiWNJpBvwn"],"dependent_operators":["sdazOOVcIp","W4YGzv6Whe","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","Tcnh7f0tEr","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","B5M0gjZbta","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⪩⨒∯33300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3992","layer":4},{"info":"number node, value=7095","layer":4},{"info":"compute binary expreesion, left_input=3992, right_input=7095, 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=1264","layer":4},{"info":"number node, value=3714","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=3714, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=-50, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=67","layer":2},{"info":"number node, value=1825","layer":4},{"info":"number node, value=2621","layer":4},{"info":"compute binary expreesion, left_input=1825, right_input=2621, 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=2200","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=2200, right_input=2291, 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=19558, right_input=nan, 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=67, right_input=-134, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=504","layer":1},{"info":"number node, value=4615","layer":4},{"info":"compute unary expreesion, input=4615, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=4274","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=4274, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"number node, value=3064","layer":4},{"info":"number node, value=7346","layer":4},{"info":"compute binary expreesion, left_input=3064, right_input=7346, 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=2118","layer":4},{"info":"number node, value=2282","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=2282, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1336","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1336, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1457","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1457, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=504, right_input=nan, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=1008","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯332120≚⊃≕⪩⨒∯1232313)⫞⩸⩒(⪩⨒∯103300⫌⩉⩟⪩⨒∯322002)⫃⨇⪩⨒∯130201≎⪠⪩⨒∯220331↓(⪩⨒∯202120⨟⋌⩍⪩⨒∯203303))⪒⊣⊆((⇁⨣⪵⪩⨒∯1020013)⪚(⪩⨒∯101001⫔⩽⩺⪩⨒∯1002302)⩺⪪(⪩⨒∯233320⫸⇳⪩⨒∯1302302)⩚⊴⇥⪩⨒∯201012⩍⋽⫝̸⪩⨒∯203222)=⪩⨒∯33300","reverse_text":"⪩⨒∯33300=((⪩⨒∯332120≚⊃≕⪩⨒∯1232313)⫞⩸⩒(⪩⨒∯103300⫌⩉⩟⪩⨒∯322002)⫃⨇⪩⨒∯130201≎⪠⪩⨒∯220331↓(⪩⨒∯202120⨟⋌⩍⪩⨒∯203303))⪒⊣⊆((⇁⨣⪵⪩⨒∯1020013)⪚(⪩⨒∯101001⫔⩽⩺⪩⨒∯1002302)⩺⪪(⪩⨒∯233320⫸⇳⪩⨒∯1302302)⩚⊴⇥⪩⨒∯201012⩍⋽⫝̸⪩⨒∯203222)","cot":[{"info":"⪩⨒∯332120≚⊃≕⪩⨒∯1232313=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯103300⫌⩉⩟⪩⨒∯322002=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯1003⫞⩸⩒⪩⨒∯-302=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯130201≎⪠⪩⨒∯220331=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯202120⨟⋌⩍⪩⨒∯203303=NaN","layer":3},{"info":"⪩⨒∯10301212↓NaN=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯1003⫃⨇⪩⨒∯-2012=⪩⨒∯13320","layer":1},{"info":"⇁⨣⪵⪩⨒∯1020013=NaN","layer":3},{"info":"⪩⨒∯101001⫔⩽⩺⪩⨒∯1002302=NaN","layer":3},{"info":"NaN⪚NaN=NaN","layer":2},{"info":"⪩⨒∯233320⫸⇳⪩⨒∯1302302=⪩⨒∯0","layer":3},{"info":"⪩⨒∯201012⩍⋽⫝̸⪩⨒∯203222=⪩⨒∯110320","layer":3},{"info":"⪩⨒∯0⩚⊴⇥⪩⨒∯110320=⪩⨒∯-112301","layer":2},{"info":"NaN⩺⪪⪩⨒∯-112301=NaN","layer":1},{"info":"⪩⨒∯13320⪒⊣⊆NaN=⪩⨒∯33300","layer":0}]}
{"id":712,"expression_no_base_symbol":"(↥(≻⋜$1388$))⊲⩕⊾($1048$⪇≇⋚$7506$)⩍⋽⫝̸($2615$∷$1977$)⪡(≦∁$2419$↳≱$3053$⨸($1596$⇋≉))","expression":"(↥(≻⋜⪩⨒∯111230))⊲⩕⊾(⪩⨒∯100120⪇≇⋚⪩⨒∯1311102)⩍⋽⫝̸(⪩⨒∯220313∷⪩⨒∯132321)⪡(≦∁⪩⨒∯211303↳≱⪩⨒∯233231⨸(⪩⨒∯120330⇋≉))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7039,"operation_count":11,"complexity_ratio":639.9090909090909,"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":1388,"base":4}}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":1048,"base":4},"right_expr":{"type":"numeric_atoms","value":7506,"base":4}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":2615,"base":4},"right_expr":{"type":"numeric_atoms","value":1977,"base":4}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":2419,"base":4},"right_expr":{"type":"numeric_atoms","value":3053,"base":4}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1596,"base":4}}}}},"used_operators":["oraRL2iQuh","DmTXOeWf9t","A8NUZmVepG","3tj9sqzovi","BiWNJpBvwn","3sJ7IOPOlU","D3AQDKkPcf","9ICcGScMcE","KmoU8R5UQR","JwTKLfZU96","XIabStNQrY"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","Ph9nP6C5qx","xUOZtlo3hN","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","9FxExcQeMw","NTOWxs364D","7j4O788W3g","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=7506","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=7506, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=2615","layer":4},{"info":"number node, value=1977","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=1977, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1977","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1977, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1031","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1031, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=2419","layer":4},{"info":"number node, value=3053","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=3053, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1596","layer":4},{"info":"compute unary expreesion, input=1596, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3094","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3094, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=869286","layer":2},{"info":"compute unary expreesion, input=869286, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=869286","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=869286, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↥(≻⋜⪩⨒∯111230))⊲⩕⊾(⪩⨒∯100120⪇≇⋚⪩⨒∯1311102)⩍⋽⫝̸(⪩⨒∯220313∷⪩⨒∯132321)⪡(≦∁⪩⨒∯211303↳≱⪩⨒∯233231⨸(⪩⨒∯120330⇋≉))=NaN","reverse_text":"NaN=(↥(≻⋜⪩⨒∯111230))⊲⩕⊾(⪩⨒∯100120⪇≇⋚⪩⨒∯1311102)⩍⋽⫝̸(⪩⨒∯220313∷⪩⨒∯132321)⪡(≦∁⪩⨒∯211303↳≱⪩⨒∯233231⨸(⪩⨒∯120330⇋≉))","cot":[{"info":"≻⋜⪩⨒∯111230=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⪩⨒∯100120⪇≇⋚⪩⨒∯1311102=⪩⨒∯0","layer":3},{"info":"⪩⨒∯220313∷⪩⨒∯132321=⪩⨒∯132321","layer":3},{"info":"⪩⨒∯0⩍⋽⫝̸⪩⨒∯132321=⪩⨒∯100013","layer":2},{"info":"NaN⊲⩕⊾⪩⨒∯100013=NaN","layer":1},{"info":"⪩⨒∯211303↳≱⪩⨒∯233231=⪩⨒∯0","layer":3},{"info":"⪩⨒∯120330⇋≉=⪩⨒∯300112","layer":3},{"info":"⪩⨒∯0⨸⪩⨒∯300112=⪩⨒∯3110032212","layer":2},{"info":"≦∁⪩⨒∯3110032212=⪩⨒∯3110032212","layer":1},{"info":"NaN⪡⪩⨒∯3110032212=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"⨈⫕(⇐(($6204$⊍⩺⋍$1363$)⨫⇇↔$1260$⊴$2615$))","expression":"⨈⫕(⇐((⪩⨒∯1200330⊍⩺⋍⪩⨒∯111103)⨫⇇↔⪩⨒∯103230⊴⪩⨒∯220313))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3269,"operation_count":5,"complexity_ratio":653.8,"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":6204,"base":4},"right_expr":{"type":"numeric_atoms","value":1363,"base":4}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1260,"base":4},"right_expr":{"type":"numeric_atoms","value":2615,"base":4}}}}},"used_operators":["megm06wKyl","nmZMaaE0Q9","LXhwmt4mBO","OXDGMFPWZM","Nsiff2A1zJ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","dWAJyo7jo9","14qkJME0vr"],"result":"⪩⨒∯-111","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6204","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=6204, right_input=1363, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=1260","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2615, 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 = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=-1040","layer":1},{"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":0}],"base":4,"result_base":4,"text":"⨈⫕(⇐((⪩⨒∯1200330⊍⩺⋍⪩⨒∯111103)⨫⇇↔⪩⨒∯103230⊴⪩⨒∯220313))=⪩⨒∯-111","reverse_text":"⪩⨒∯-111=⨈⫕(⇐((⪩⨒∯1200330⊍⩺⋍⪩⨒∯111103)⨫⇇↔⪩⨒∯103230⊴⪩⨒∯220313))","cot":[{"info":"⪩⨒∯1200330⊍⩺⋍⪩⨒∯111103=NaN","layer":3},{"info":"⪩⨒∯103230⊴⪩⨒∯220313=NaN","layer":3},{"info":"NaN⨫⇇↔NaN=⪩⨒∯-20033","layer":2},{"info":"⇐⪩⨒∯-20033=⪩⨒∯-100100","layer":1},{"info":"⨈⫕⪩⨒∯-100100=⪩⨒∯-111","layer":0}]}
{"id":714,"expression_no_base_symbol":"((($1054$⨐⩸⫘$1585$)⊝)⩷∴($1717$⨐$2330$⨶))⨪↰⇹(∐⩳⋚(≔$8208$))≌(($1324$⩖⊿$1307$)↳≱($1864$∣$1483$))","expression":"(((⪩⨒∯100132⨐⩸⫘⪩⨒∯120301)⊝)⩷∴(⪩⨒∯122311⨐⪩⨒∯210122⨶))⨪↰⇹(∐⩳⋚(≔⪩⨒∯2000100))≌((⪩⨒∯110230⩖⊿⪩⨒∯110123)↳≱(⪩⨒∯131020∣⪩⨒∯113023))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":589,"operation_count":12,"complexity_ratio":49.083333333333336,"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":1054,"base":4},"right_expr":{"type":"numeric_atoms","value":1585,"base":4}}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1717,"base":4},"right_expr":{"type":"numeric_atoms","value":2330,"base":4}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":8208,"base":4}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1324,"base":4},"right_expr":{"type":"numeric_atoms","value":1307,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1864,"base":4},"right_expr":{"type":"numeric_atoms","value":1483,"base":4}}}}},"used_operators":["tmPS8pqC7x","9FxExcQeMw","O6EZ0fifGK","fu6greOZ01","rFxw8gIMmB","Noe24qw2ks","lyWz822IDG","SL6IHkK8vl","8FLs4eVsLt","JwTKLfZU96","RZ5CV9rWsJ","PPChnnnBFF"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","3ViojmjbAp","f6k1SAg4EE","Qy55tPpLXF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1054","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1585, 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 = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=nan","layer":2},{"info":"number node, value=1717","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=2330, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3434","layer":3},{"info":"compute unary expreesion, input=-3434, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=8208","layer":4},{"info":"compute unary expreesion, input=8208, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-228530","layer":3},{"info":"compute unary expreesion, input=-228530, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-66309638","layer":2},{"info":"number node, value=1324","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=1307, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=5078","layer":3},{"info":"number node, value=1864","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=1483, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1864","layer":3},{"info":"compute binary expreesion, left_input=5078, right_input=1864, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-66309638, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=9080, 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":4,"result_base":4,"text":"(((⪩⨒∯100132⨐⩸⫘⪩⨒∯120301)⊝)⩷∴(⪩⨒∯122311⨐⪩⨒∯210122⨶))⨪↰⇹(∐⩳⋚(≔⪩⨒∯2000100))≌((⪩⨒∯110230⩖⊿⪩⨒∯110123)↳≱(⪩⨒∯131020∣⪩⨒∯113023))=NaN","reverse_text":"NaN=(((⪩⨒∯100132⨐⩸⫘⪩⨒∯120301)⊝)⩷∴(⪩⨒∯122311⨐⪩⨒∯210122⨶))⨪↰⇹(∐⩳⋚(≔⪩⨒∯2000100))≌((⪩⨒∯110230⩖⊿⪩⨒∯110123)↳≱(⪩⨒∯131020∣⪩⨒∯113023))","cot":[{"info":"⪩⨒∯100132⨐⩸⫘⪩⨒∯120301=NaN","layer":3},{"info":"NaN⊝=NaN","layer":2},{"info":"⪩⨒∯122311⨐⪩⨒∯210122=⪩⨒∯-311222","layer":3},{"info":"⪩⨒∯-311222⨶=⪩⨒∯-2012","layer":2},{"info":"NaN⩷∴⪩⨒∯-2012=NaN","layer":1},{"info":"≔⪩⨒∯2000100=⪩⨒∯-313302302","layer":3},{"info":"∐⩳⋚⪩⨒∯-313302302=⪩⨒∯-3330330320012","layer":2},{"info":"⪩⨒∯110230⩖⊿⪩⨒∯110123=⪩⨒∯1033112","layer":3},{"info":"⪩⨒∯131020∣⪩⨒∯113023=⪩⨒∯131020","layer":3},{"info":"⪩⨒∯1033112↳≱⪩⨒∯131020=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-3330330320012≌⪩⨒∯0=⪩⨒∯2031320","layer":1},{"info":"NaN⨪↰⇹⪩⨒∯2031320=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"($1341$⊬⨰$1410$)⨑⩅≇$3257$⇻⋧≁$3332$⋭≵(≛$4847$≎⊠⪸$1594$)-(⇤←$5407$⋻⩜⩜$1058$)∇⊂⋱($2871$↓$1305$∪⫐(⩎⋉$7189$))","expression":"(⪩⨒∯110331⊬⨰⪩⨒∯112002)⨑⩅≇⪩⨒∯302321⇻⋧≁⪩⨒∯310010⋭≵(≛⪩⨒∯1023233≎⊠⪸⪩⨒∯120322)-(⇤←⪩⨒∯1110133⋻⩜⩜⪩⨒∯100202)∇⊂⋱(⪩⨒∯230313↓⪩⨒∯110121∪⫐(⩎⋉⪩⨒∯1300111))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":37639,"operation_count":13,"complexity_ratio":2895.3076923076924,"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":1341,"base":4},"right_expr":{"type":"numeric_atoms","value":1410,"base":4}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":3257,"base":4},"right_expr":{"type":"numeric_atoms","value":3332,"base":4}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4847,"base":4},"right_expr":{"type":"numeric_atoms","value":1594,"base":4}}}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":5407,"base":4},"right_expr":{"type":"numeric_atoms","value":1058,"base":4}}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2871,"base":4},"right_expr":{"type":"numeric_atoms","value":1305,"base":4}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"numeric_atoms","value":7189,"base":4}}}}},"used_operators":["rysDP5nf3Z","jBncVCNhdl","h92wMvzauj","s3Fd5m9Dh2","jCPkEVoL5K","W7eaUhjymW","bJkvcejdHO","nhYeJWJD5X","jfAgQ2OQeM","oDCm7WA9JY","7YooWSwCyH","Af076pWI7l","FlXk3pOYe8"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","rJVOvQCfKK","2DDjHMKMc0","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ"],"result":"⪩⨒∯-3021","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1341","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=1410, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=5925","layer":3},{"info":"number node, value=3257","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=3257, right_input=3332, 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=5925, right_input=-447, 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=-17775","layer":2},{"info":"number node, value=4847","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=4847, right_input=1594, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1254900","layer":3},{"info":"compute unary expreesion, input=1254900, 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":2},{"info":"compute binary expreesion, left_input=-17775, right_input=-10, 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=5407","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=5407, right_input=1058, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=10814","layer":3},{"info":"compute unary expreesion, input=10814, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-52704","layer":2},{"info":"number node, value=2871","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=1305, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=7189","layer":4},{"info":"compute unary expreesion, input=7189, 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=-134, right_input=1650, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=-52704, right_input=-134, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=268","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=268, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-201","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯110331⊬⨰⪩⨒∯112002)⨑⩅≇⪩⨒∯302321⇻⋧≁⪩⨒∯310010⋭≵(≛⪩⨒∯1023233≎⊠⪸⪩⨒∯120322)-(⇤←⪩⨒∯1110133⋻⩜⩜⪩⨒∯100202)∇⊂⋱(⪩⨒∯230313↓⪩⨒∯110121∪⫐(⩎⋉⪩⨒∯1300111))=⪩⨒∯-3021","reverse_text":"⪩⨒∯-3021=(⪩⨒∯110331⊬⨰⪩⨒∯112002)⨑⩅≇⪩⨒∯302321⇻⋧≁⪩⨒∯310010⋭≵(≛⪩⨒∯1023233≎⊠⪸⪩⨒∯120322)-(⇤←⪩⨒∯1110133⋻⩜⩜⪩⨒∯100202)∇⊂⋱(⪩⨒∯230313↓⪩⨒∯110121∪⫐(⩎⋉⪩⨒∯1300111))","cot":[{"info":"⪩⨒∯110331⊬⨰⪩⨒∯112002=⪩⨒∯1130211","layer":3},{"info":"⪩⨒∯302321⇻⋧≁⪩⨒∯310010=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1130211⨑⩅≇⪩⨒∯-12333=⪩⨒∯-10111233","layer":2},{"info":"⪩⨒∯1023233≎⊠⪸⪩⨒∯120322=⪩⨒∯10302113310","layer":3},{"info":"≛⪩⨒∯10302113310=⪩⨒∯-22","layer":2},{"info":"⪩⨒∯-10111233⋭≵⪩⨒∯-22=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯1110133⋻⩜⩜⪩⨒∯100202=⪩⨒∯2220332","layer":3},{"info":"⇤←⪩⨒∯2220332=⪩⨒∯-30313200","layer":2},{"info":"⪩⨒∯230313↓⪩⨒∯110121=⪩⨒∯-2012","layer":3},{"info":"⩎⋉⪩⨒∯1300111=⪩⨒∯121302","layer":3},{"info":"⪩⨒∯-2012∪⫐⪩⨒∯121302=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯-30313200∇⊂⋱⪩⨒∯-2012=⪩⨒∯10030","layer":1},{"info":"⪩⨒∯1003-⪩⨒∯10030=⪩⨒∯-3021","layer":0}]}
{"id":716,"expression_no_base_symbol":"(∓⪦($1130$⪉⨛$5413$)⫘($5099$⪘⫢$5459$))⪛($3793$⊕∕$2016$∋($1320$↬$3129$)⨎($3137$∠↢$2373$)⨂≜($1689$⩖⊿$1073$))","expression":"(∓⪦(⪩⨒∯101222⪉⨛⪩⨒∯1110211)⫘(⪩⨒∯1033223⪘⫢⪩⨒∯1111103))⪛(⪩⨒∯323101⊕∕⪩⨒∯133200∋(⪩⨒∯110220↬⪩⨒∯300321)⨎(⪩⨒∯301001∠↢⪩⨒∯211011)⨂≜(⪩⨒∯122121⩖⊿⪩⨒∯100301))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":46898,"operation_count":12,"complexity_ratio":3908.1666666666665,"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":1130,"base":4},"right_expr":{"type":"numeric_atoms","value":5413,"base":4}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5099,"base":4},"right_expr":{"type":"numeric_atoms","value":5459,"base":4}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":3793,"base":4},"right_expr":{"type":"numeric_atoms","value":2016,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1320,"base":4},"right_expr":{"type":"numeric_atoms","value":3129,"base":4}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3137,"base":4},"right_expr":{"type":"numeric_atoms","value":2373,"base":4}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":1689,"base":4},"right_expr":{"type":"numeric_atoms","value":1073,"base":4}}}}},"used_operators":["uFcxV4UQCh","D309nIvmXG","48vC8HMD2b","EWw2JM7wp4","oacrs7FA3X","rJVOvQCfKK","ukq6epAj5P","9cloC0Ngie","B5M0gjZbta","k1SHOSEABc","KbjG8mgYpV","RZ5CV9rWsJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rGHVDoGpnC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=5413","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=5413, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-1808","layer":3},{"info":"number node, value=5099","layer":4},{"info":"number node, value=5459","layer":4},{"info":"compute binary expreesion, left_input=5099, right_input=5459, 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=-1808, right_input=10074, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=7963019","layer":2},{"info":"compute unary expreesion, input=7963019, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=7962611","layer":1},{"info":"number node, value=3793","layer":4},{"info":"number node, value=2016","layer":4},{"info":"compute binary expreesion, left_input=3793, right_input=2016, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=3793","layer":3},{"info":"number node, value=1320","layer":4},{"info":"number node, value=3129","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=3129, 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=3793, right_input=nan, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-69796","layer":2},{"info":"number node, value=3137","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=2373, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-44688","layer":3},{"info":"number node, value=1689","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=1689, right_input=1073, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=1746","layer":3},{"info":"compute binary expreesion, left_input=-44688, right_input=1746, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-69796, 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 binary expreesion, left_input=7962611, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(∓⪦(⪩⨒∯101222⪉⨛⪩⨒∯1110211)⫘(⪩⨒∯1033223⪘⫢⪩⨒∯1111103))⪛(⪩⨒∯323101⊕∕⪩⨒∯133200∋(⪩⨒∯110220↬⪩⨒∯300321)⨎(⪩⨒∯301001∠↢⪩⨒∯211011)⨂≜(⪩⨒∯122121⩖⊿⪩⨒∯100301))=NaN","reverse_text":"NaN=(∓⪦(⪩⨒∯101222⪉⨛⪩⨒∯1110211)⫘(⪩⨒∯1033223⪘⫢⪩⨒∯1111103))⪛(⪩⨒∯323101⊕∕⪩⨒∯133200∋(⪩⨒∯110220↬⪩⨒∯300321)⨎(⪩⨒∯301001∠↢⪩⨒∯211011)⨂≜(⪩⨒∯122121⩖⊿⪩⨒∯100301))","cot":[{"info":"⪩⨒∯101222⪉⨛⪩⨒∯1110211=⪩⨒∯-130100","layer":3},{"info":"⪩⨒∯1033223⪘⫢⪩⨒∯1111103=⪩⨒∯2131122","layer":3},{"info":"⪩⨒∯-130100⫘⪩⨒∯2131122=⪩⨒∯132120012023","layer":2},{"info":"∓⪦⪩⨒∯132120012023=⪩⨒∯132113333303","layer":1},{"info":"⪩⨒∯323101⊕∕⪩⨒∯133200=⪩⨒∯323101","layer":3},{"info":"⪩⨒∯110220↬⪩⨒∯300321=NaN","layer":3},{"info":"⪩⨒∯323101∋NaN=⪩⨒∯-101002210","layer":2},{"info":"⪩⨒∯301001∠↢⪩⨒∯211011=⪩⨒∯-22322100","layer":3},{"info":"⪩⨒∯122121⩖⊿⪩⨒∯100301=⪩⨒∯123102","layer":3},{"info":"⪩⨒∯-22322100⨂≜⪩⨒∯123102=NaN","layer":2},{"info":"⪩⨒∯-101002210⨎NaN=NaN","layer":1},{"info":"⪩⨒∯132113333303⪛NaN=NaN","layer":0}]}
{"id":717,"expression_no_base_symbol":"(⇠(($2170$⨎$3695$)⩅⪻⪻))⫌⩹⨱","expression":"(⇠((⪩⨒∯201322⨎⪩⨒∯321233)⩅⪻⪻))⫌⩹⨱","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":149,"operation_count":4,"complexity_ratio":37.25,"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":2170,"base":4},"right_expr":{"type":"numeric_atoms","value":3695,"base":4}}}}},"used_operators":["EBcxylXtPf","18saOjeKKm","kHoXpA7yos","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"⪩⨒∯111321","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2170","layer":4},{"info":"number node, value=3695","layer":4},{"info":"compute binary expreesion, left_input=2170, right_input=3695, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3695","layer":3},{"info":"compute unary expreesion, input=3695, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-546285","layer":2},{"info":"compute unary expreesion, input=-546285, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1401","layer":0}],"base":4,"result_base":4,"text":"(⇠((⪩⨒∯201322⨎⪩⨒∯321233)⩅⪻⪻))⫌⩹⨱=⪩⨒∯111321","reverse_text":"⪩⨒∯111321=(⇠((⪩⨒∯201322⨎⪩⨒∯321233)⩅⪻⪻))⫌⩹⨱","cot":[{"info":"⪩⨒∯201322⨎⪩⨒∯321233=⪩⨒∯321233","layer":3},{"info":"⪩⨒∯321233⩅⪻⪻=⪩⨒∯-2011113231","layer":2},{"info":"⇠⪩⨒∯-2011113231=⪩⨒∯0","layer":1},{"info":"⪩⨒∯0⫌⩹⨱=⪩⨒∯111321","layer":0}]}
{"id":718,"expression_no_base_symbol":"(($1632$+$2928$)⩹$3028$⪄$2826$)⨸($1032$↓$2598$⊉≛↸$2081$⫒⫫$1436$)⪎↠(($6730$⫦⪉$1498$)⪪$1927$⫁⪎$1125$⫃⨇((⩰$4609$)⪓⨏))","expression":"((⪩⨒∯121200+⪩⨒∯231300)⩹⪩⨒∯233110⪄⪩⨒∯230022)⨸(⪩⨒∯100020↓⪩⨒∯220212⊉≛↸⪩⨒∯200201⫒⫫⪩⨒∯112130)⪎↠((⪩⨒∯1221022⫦⪉⪩⨒∯113122)⪪⪩⨒∯132013⫁⪎⪩⨒∯101211⫃⨇((⩰⪩⨒∯1020001)⪓⨏))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":498627,"operation_count":14,"complexity_ratio":35616.21428571428,"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":1632,"base":4},"right_expr":{"type":"numeric_atoms","value":2928,"base":4}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3028,"base":4},"right_expr":{"type":"numeric_atoms","value":2826,"base":4}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1032,"base":4},"right_expr":{"type":"numeric_atoms","value":2598,"base":4}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":2081,"base":4},"right_expr":{"type":"numeric_atoms","value":1436,"base":4}}}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6730,"base":4},"right_expr":{"type":"numeric_atoms","value":1498,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1927,"base":4},"right_expr":{"type":"numeric_atoms","value":1125,"base":4}}},"right_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":4609,"base":4}}}}},"used_operators":["3tVxb0NHM4","KmoU8R5UQR","2Wsdkap16l","W4YGzv6Whe","SUmda5xLS4","DZ8iAZOCBD","Af076pWI7l","6Ko8hGgeMq","09Ly4LVMIf","xD69zh8xqp","wscyQdcy20","xRrnTEsQ6j","4X9JU4Jbn6","WkeUrDK8WX"],"dependent_operators":["P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","FU0Cs4j7VP","JclMnS0uGI","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1632","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=2928, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4560","layer":3},{"info":"number node, value=3028","layer":4},{"info":"number node, value=2826","layer":4},{"info":"compute binary expreesion, left_input=3028, right_input=2826, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-455537","layer":3},{"info":"compute binary expreesion, left_input=4560, right_input=-455537, 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=-455539","layer":2},{"info":"number node, value=1032","layer":4},{"info":"number node, value=2598","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=2598, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=2081","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=1436, 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=-134, right_input=nan, 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=-455539, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=911078","layer":1},{"info":"number node, value=6730","layer":4},{"info":"number node, value=1498","layer":4},{"info":"compute binary expreesion, left_input=6730, right_input=1498, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8560","layer":3},{"info":"number node, value=1927","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=1125, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=802","layer":3},{"info":"compute binary expreesion, left_input=-8560, right_input=802, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":2},{"info":"number node, value=4609","layer":4},{"info":"compute unary expreesion, input=4609, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-5609","layer":3},{"info":"compute unary expreesion, input=-5609, 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 binary expreesion, left_input=-6206, right_input=nan, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=911078, 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":4,"result_base":4,"text":"((⪩⨒∯121200+⪩⨒∯231300)⩹⪩⨒∯233110⪄⪩⨒∯230022)⨸(⪩⨒∯100020↓⪩⨒∯220212⊉≛↸⪩⨒∯200201⫒⫫⪩⨒∯112130)⪎↠((⪩⨒∯1221022⫦⪉⪩⨒∯113122)⪪⪩⨒∯132013⫁⪎⪩⨒∯101211⫃⨇((⩰⪩⨒∯1020001)⪓⨏))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=((⪩⨒∯121200+⪩⨒∯231300)⩹⪩⨒∯233110⪄⪩⨒∯230022)⨸(⪩⨒∯100020↓⪩⨒∯220212⊉≛↸⪩⨒∯200201⫒⫫⪩⨒∯112130)⪎↠((⪩⨒∯1221022⫦⪉⪩⨒∯113122)⪪⪩⨒∯132013⫁⪎⪩⨒∯101211⫃⨇((⩰⪩⨒∯1020001)⪓⨏))","cot":[{"info":"⪩⨒∯121200+⪩⨒∯231300=⪩⨒∯1013100","layer":3},{"info":"⪩⨒∯233110⪄⪩⨒∯230022=⪩⨒∯-1233031301","layer":3},{"info":"⪩⨒∯1013100⩹⪩⨒∯-1233031301=⪩⨒∯-1233031303","layer":2},{"info":"⪩⨒∯100020↓⪩⨒∯220212=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯200201⫒⫫⪩⨒∯112130=NaN","layer":3},{"info":"⪩⨒∯-2012⊉≛↸NaN=NaN","layer":2},{"info":"⪩⨒∯-1233031303⨸NaN=⪩⨒∯3132123212","layer":1},{"info":"⪩⨒∯1221022⫦⪉⪩⨒∯113122=⪩⨒∯-2011300","layer":3},{"info":"⪩⨒∯132013⫁⪎⪩⨒∯101211=⪩⨒∯30202","layer":3},{"info":"⪩⨒∯-2011300⪪⪩⨒∯30202=⪩⨒∯-1200332","layer":2},{"info":"⩰⪩⨒∯1020001=⪩⨒∯-1113221","layer":3},{"info":"⪩⨒∯-1113221⪓⨏=NaN","layer":2},{"info":"⪩⨒∯-1200332⫃⨇NaN=NaN","layer":1},{"info":"⪩⨒∯3132123212⪎↠NaN=⪩⨒∯2200","layer":0}]}
{"id":719,"expression_no_base_symbol":"⇉-⫰(∥⊫($1021$⩼⇪↪$1392$)≌($1503$⊴⇁⪶))","expression":"⇉-⫰(∥⊫(⪩⨒∯33331⩼⇪↪⪩⨒∯111300)≌(⪩⨒∯113133⊴⇁⪶))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":27200,"operation_count":5,"complexity_ratio":5440.0,"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":1021,"base":4},"right_expr":{"type":"numeric_atoms","value":1392,"base":4}},"right_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":1503,"base":4}}}}},"used_operators":["IGFM8TAlm9","P8v4zCKN1o","lyWz822IDG","ocnLzx9CaJ","oo9mF6JIpo"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1392, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-8485","layer":3},{"info":"number node, value=1503","layer":4},{"info":"compute unary expreesion, input=1503, 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=25388","layer":3},{"info":"compute binary expreesion, left_input=-8485, right_input=25388, 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 = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇉-⫰(∥⊫(⪩⨒∯33331⩼⇪↪⪩⨒∯111300)≌(⪩⨒∯113133⊴⇁⪶))=NaN","reverse_text":"NaN=⇉-⫰(∥⊫(⪩⨒∯33331⩼⇪↪⪩⨒∯111300)≌(⪩⨒∯113133⊴⇁⪶))","cot":[{"info":"⪩⨒∯33331⩼⇪↪⪩⨒∯111300=⪩⨒∯-2010211","layer":3},{"info":"⪩⨒∯113133⊴⇁⪶=⪩⨒∯12030230","layer":3},{"info":"⪩⨒∯-2010211≌⪩⨒∯12030230=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"⇉-⫰NaN=NaN","layer":0}]}
{"id":720,"expression_no_base_symbol":"($2056$∼$1173$⪕($5039$⨵⪆$1152$)⊨($5199$⨐$4833$∛≔))⇌⫙⪟($2968$⊴$4177$⊲⩕⊾$3849$∛$1313$⨐⩸⫘($1961$⊨$1054$)⩌⋺$6562$⨿$1044$)","expression":"(⪩⨒∯200020∼⪩⨒∯102111⪕(⪩⨒∯1032233⨵⪆⪩⨒∯102000)⊨(⪩⨒∯1101033⨐⪩⨒∯1023201∛≔))⇌⫙⪟(⪩⨒∯232120⊴⪩⨒∯1001101⊲⩕⊾⪩⨒∯330021∛⪩⨒∯110201⨐⩸⫘(⪩⨒∯132221⊨⪩⨒∯100132)⩌⋺⪩⨒∯1212202⨿⪩⨒∯100110)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":15340,"operation_count":14,"complexity_ratio":1095.7142857142858,"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":2056,"base":4},"right_expr":{"type":"numeric_atoms","value":1173,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5039,"base":4},"right_expr":{"type":"numeric_atoms","value":1152,"base":4}}},"right_expr":{"type":"unary","operator":"∛≔","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":5199,"base":4},"right_expr":{"type":"numeric_atoms","value":4833,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2968,"base":4},"right_expr":{"type":"numeric_atoms","value":4177,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3849,"base":4},"right_expr":{"type":"numeric_atoms","value":1313,"base":4}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1961,"base":4},"right_expr":{"type":"numeric_atoms","value":1054,"base":4}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":6562,"base":4},"right_expr":{"type":"numeric_atoms","value":1044,"base":4}}}}},"used_operators":["AFVx7xoS7T","vg4gO5BX6G","umQnsF7QlU","DyGG3AbaNP","2DQ55sFlQl","mGnSCrte3L","Noe24qw2ks","fu6greOZ01","DmTXOeWf9t","Nsiff2A1zJ","w2537kitQq","g7Hmc5v1ko","abYXlopdE0"],"dependent_operators":["DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","212REbPD9h","gx7XJ7hdpj","nEsXyWgiOK","oWn0xqSxBt","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","3ViojmjbAp","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2056","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=2056, right_input=1173, 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=5039","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=5039, right_input=1152, 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=nan, right_input=160, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":2},{"info":"number node, value=5199","layer":4},{"info":"number node, value=4833","layer":4},{"info":"compute binary expreesion, left_input=5199, right_input=4833, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-10398","layer":3},{"info":"compute unary expreesion, input=-10398, op_id = mGnSCrte3L, unary_op_definition = 'a∛≔ = { (((⊙↵-a)⋾⨃∁(a⨻⩈⩔a))≝⊿(a⫸⇳(a⫯⪬∳a))) }', output=-305287","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-305287, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"number node, value=2968","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=2968, right_input=4177, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3849","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=3849, right_input=1313, 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=nan, right_input=67, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":2},{"info":"number node, value=1961","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=1054, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=8875","layer":3},{"info":"number node, value=6562","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=6562, right_input=1044, 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=8875, right_input=-319, 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=-8677","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8677, 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":"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":0}],"base":4,"result_base":4,"text":"(⪩⨒∯200020∼⪩⨒∯102111⪕(⪩⨒∯1032233⨵⪆⪩⨒∯102000)⊨(⪩⨒∯1101033⨐⪩⨒∯1023201∛≔))⇌⫙⪟(⪩⨒∯232120⊴⪩⨒∯1001101⊲⩕⊾⪩⨒∯330021∛⪩⨒∯110201⨐⩸⫘(⪩⨒∯132221⊨⪩⨒∯100132)⩌⋺⪩⨒∯1212202⨿⪩⨒∯100110)=NaN","reverse_text":"NaN=(⪩⨒∯200020∼⪩⨒∯102111⪕(⪩⨒∯1032233⨵⪆⪩⨒∯102000)⊨(⪩⨒∯1101033⨐⪩⨒∯1023201∛≔))⇌⫙⪟(⪩⨒∯232120⊴⪩⨒∯1001101⊲⩕⊾⪩⨒∯330021∛⪩⨒∯110201⨐⩸⫘(⪩⨒∯132221⊨⪩⨒∯100132)⩌⋺⪩⨒∯1212202⨿⪩⨒∯100110)","cot":[{"info":"⪩⨒∯200020∼⪩⨒∯102111=NaN","layer":3},{"info":"⪩⨒∯1032233⨵⪆⪩⨒∯102000=⪩⨒∯2200","layer":3},{"info":"NaN⪕⪩⨒∯2200=NaN","layer":2},{"info":"⪩⨒∯1101033⨐⪩⨒∯1023201=⪩⨒∯-2202132","layer":3},{"info":"⪩⨒∯-2202132∛≔=⪩⨒∯-1022202013","layer":2},{"info":"NaN⊨⪩⨒∯-1022202013=NaN","layer":1},{"info":"⪩⨒∯232120⊴⪩⨒∯1001101=NaN","layer":3},{"info":"⪩⨒∯330021∛⪩⨒∯110201=⪩⨒∯1003","layer":3},{"info":"NaN⊲⩕⊾⪩⨒∯1003=NaN","layer":2},{"info":"⪩⨒∯132221⊨⪩⨒∯100132=⪩⨒∯2022223","layer":3},{"info":"⪩⨒∯1212202⨿⪩⨒∯100110=⪩⨒∯-10333","layer":3},{"info":"⪩⨒∯2022223⩌⋺⪩⨒∯-10333=⪩⨒∯-2013211","layer":2},{"info":"NaN⨐⩸⫘⪩⨒∯-2013211=NaN","layer":1},{"info":"NaN⇌⫙⪟NaN=NaN","layer":0}]}
{"id":721,"expression_no_base_symbol":"(($4847$≦≮≮)⪨⊡($5945$⨑≵⋬$1086$))⫣⪄⊒(⫎≠⋺($1423$⩌⋺$1523$))≎⊠⪸(($2018$∺≝⩲$1127$)≎⪠($2088$⩨$3053$)↙(⪭⩑⪱($2545$⨸⪁$1021$)))","expression":"((⪩⨒∯1023233≦≮≮)⪨⊡(⪩⨒∯1130321⨑≵⋬⪩⨒∯100332))⫣⪄⊒(⫎≠⋺(⪩⨒∯112033⩌⋺⪩⨒∯113303))≎⊠⪸((⪩⨒∯133202∺≝⩲⪩⨒∯101213)≎⪠(⪩⨒∯200220⩨⪩⨒∯233231)↙(⪭⩑⪱(⪩⨒∯213301⨸⪁⪩⨒∯33331)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1723368,"operation_count":13,"complexity_ratio":132566.76923076922,"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":4847,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":5945,"base":4},"right_expr":{"type":"numeric_atoms","value":1086,"base":4}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1423,"base":4},"right_expr":{"type":"numeric_atoms","value":1523,"base":4}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":2018,"base":4},"right_expr":{"type":"numeric_atoms","value":1127,"base":4}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2088,"base":4},"right_expr":{"type":"numeric_atoms","value":3053,"base":4}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2545,"base":4},"right_expr":{"type":"numeric_atoms","value":1021,"base":4}}}}},"used_operators":["bJkvcejdHO","RabNbG55vr","kuIXHzHcAH","D4vGDi5EA2","XnXgA4xnOs","LYeZOJ0nQG","g7Hmc5v1ko","yyfyN0ffXY","aNhz54LH3e","KPf6cnQVty","2DlMacCsIx","SIgE0bArFf","g55IO6H4Gj"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","W4YGzv6Whe"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4847","layer":4},{"info":"compute unary expreesion, input=4847, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14541","layer":3},{"info":"number node, value=5945","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=5945, right_input=1086, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=23502","layer":3},{"info":"compute binary expreesion, left_input=-14541, right_input=23502, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":2},{"info":"number node, value=1423","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=1523, 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=-3067","layer":3},{"info":"compute unary expreesion, input=-3067, 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=0, right_input=-709, 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=2018","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=1127, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=2088","layer":4},{"info":"number node, value=3053","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=3053, 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=160, 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":2},{"info":"number node, value=2545","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=2545, right_input=1021, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7132","layer":3},{"info":"compute unary expreesion, input=7132, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=8320752, 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=160, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1023233≦≮≮)⪨⊡(⪩⨒∯1130321⨑≵⋬⪩⨒∯100332))⫣⪄⊒(⫎≠⋺(⪩⨒∯112033⩌⋺⪩⨒∯113303))≎⊠⪸((⪩⨒∯133202∺≝⩲⪩⨒∯101213)≎⪠(⪩⨒∯200220⩨⪩⨒∯233231)↙(⪭⩑⪱(⪩⨒∯213301⨸⪁⪩⨒∯33331)))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⪩⨒∯1023233≦≮≮)⪨⊡(⪩⨒∯1130321⨑≵⋬⪩⨒∯100332))⫣⪄⊒(⫎≠⋺(⪩⨒∯112033⩌⋺⪩⨒∯113303))≎⊠⪸((⪩⨒∯133202∺≝⩲⪩⨒∯101213)≎⪠(⪩⨒∯200220⩨⪩⨒∯233231)↙(⪭⩑⪱(⪩⨒∯213301⨸⪁⪩⨒∯33331)))","cot":[{"info":"⪩⨒∯1023233≦≮≮=⪩⨒∯-3203031","layer":3},{"info":"⪩⨒∯1130321⨑≵⋬⪩⨒∯100332=⪩⨒∯11233032","layer":3},{"info":"⪩⨒∯-3203031⪨⊡⪩⨒∯11233032=⪩⨒∯0","layer":2},{"info":"⪩⨒∯112033⩌⋺⪩⨒∯113303=⪩⨒∯-233323","layer":3},{"info":"⫎≠⋺⪩⨒∯-233323=⪩⨒∯-23011","layer":2},{"info":"⪩⨒∯0⫣⪄⊒⪩⨒∯-23011=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯133202∺≝⩲⪩⨒∯101213=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯200220⩨⪩⨒∯233231=⪩⨒∯-3","layer":3},{"info":"⪩⨒∯2200≎⪠⪩⨒∯-3=⪩⨒∯10301212","layer":2},{"info":"⪩⨒∯213301⨸⪁⪩⨒∯33331=⪩⨒∯1233130","layer":3},{"info":"⪭⩑⪱⪩⨒∯1233130=⪩⨒∯133233123300","layer":2},{"info":"⪩⨒∯10301212↙⪩⨒∯133233123300=NaN","layer":1},{"info":"⪩⨒∯2200≎⊠⪸NaN=⪩⨒∯1003","layer":0}]}
{"id":722,"expression_no_base_symbol":"($4509$⪢$4069$⫸⇳(⩦⊞$6988$))⋾⨃∁$1256$⫉⨲⊜$3152$⨪↰⇹($5175$⫿)⪃↞⩐","expression":"(⪩⨒∯1012131⪢⪩⨒∯333211⫸⇳(⩦⊞⪩⨒∯1231030))⋾⨃∁⪩⨒∯103220⫉⨲⊜⪩⨒∯301100⨪↰⇹(⪩⨒∯1100313⫿)⪃↞⩐","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9507,"operation_count":8,"complexity_ratio":1188.375,"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":4509,"base":4},"right_expr":{"type":"numeric_atoms","value":4069,"base":4}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":6988,"base":4}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1256,"base":4},"right_expr":{"type":"numeric_atoms","value":3152,"base":4}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"numeric_atoms","value":5175,"base":4}}}}},"used_operators":["grXIztHqDa","212REbPD9h","gx7XJ7hdpj","dWAJyo7jo9","u7fv1HBiaC","tmPS8pqC7x","WhqkvtTD3t","9tKT6PmtkH"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","k8jYdgA6NY","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","rJVOvQCfKK","eewbuw0ToL","zVYPLywUTj","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE"],"result":"⪩⨒∯111330003223","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4509","layer":4},{"info":"number node, value=4069","layer":4},{"info":"compute binary expreesion, left_input=4509, right_input=4069, 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=6988","layer":4},{"info":"compute unary expreesion, input=6988, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6715","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6715, 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=1256","layer":4},{"info":"number node, value=3152","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=3152, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=5175","layer":4},{"info":"compute unary expreesion, input=5175, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=5175","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5175, 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":"compute binary expreesion, left_input=nan, 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 = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=5751019","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1012131⪢⪩⨒∯333211⫸⇳(⩦⊞⪩⨒∯1231030))⋾⨃∁⪩⨒∯103220⫉⨲⊜⪩⨒∯301100⨪↰⇹(⪩⨒∯1100313⫿)⪃↞⩐=⪩⨒∯111330003223","reverse_text":"⪩⨒∯111330003223=(⪩⨒∯1012131⪢⪩⨒∯333211⫸⇳(⩦⊞⪩⨒∯1231030))⋾⨃∁⪩⨒∯103220⫉⨲⊜⪩⨒∯301100⨪↰⇹(⪩⨒∯1100313⫿)⪃↞⩐","cot":[{"info":"⪩⨒∯1012131⪢⪩⨒∯333211=NaN","layer":3},{"info":"⩦⊞⪩⨒∯1231030=⪩⨒∯-1220323","layer":3},{"info":"NaN⫸⇳⪩⨒∯-1220323=NaN","layer":2},{"info":"⪩⨒∯103220⫉⨲⊜⪩⨒∯301100=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1100313⫿=⪩⨒∯1100313","layer":3},{"info":"⪩⨒∯0⨪↰⇹⪩⨒∯1100313=⪩⨒∯0","layer":2},{"info":"NaN⋾⨃∁⪩⨒∯0=⪩⨒∯-1132","layer":1},{"info":"⪩⨒∯-1132⪃↞⩐=⪩⨒∯111330003223","layer":0}]}
{"id":723,"expression_no_base_symbol":"(($3393$≥⨤⩑$3408$)⊹∫⫚(⫎≠⋺$1927$)⊿∆)⨵⪆($2280$≳⇉$1116$⪡(↥≼⋛$1704$)∈)","expression":"((⪩⨒∯311001≥⨤⩑⪩⨒∯311100)⊹∫⫚(⫎≠⋺⪩⨒∯132013)⊿∆)⨵⪆(⪩⨒∯203220≳⇉⪩⨒∯101130⪡(↥≼⋛⪩⨒∯122220)∈)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11473181,"operation_count":9,"complexity_ratio":1274797.888888889,"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":3393,"base":4},"right_expr":{"type":"numeric_atoms","value":3408,"base":4}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1927,"base":4}}}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2280,"base":4},"right_expr":{"type":"numeric_atoms","value":1116,"base":4}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":1704,"base":4}}}}},"used_operators":["2DQ55sFlQl","fv3ZujxkQL","uWAJUKEvyW","gJLn6v0xnP","LYeZOJ0nQG","ztP7wcbY7m","oraRL2iQuh","V0kx6qeWkN","x5lMkHmzsq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3393","layer":4},{"info":"number node, value=3408","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=3408, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1927","layer":4},{"info":"compute unary expreesion, input=1927, 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=1234, right_input=0, 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":2},{"info":"compute unary expreesion, input=0, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-121","layer":1},{"info":"number node, value=2280","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=2280, right_input=1116, 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=1704","layer":4},{"info":"compute unary expreesion, input=1704, 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 = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-121, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯311001≥⨤⩑⪩⨒∯311100)⊹∫⫚(⫎≠⋺⪩⨒∯132013)⊿∆)⨵⪆(⪩⨒∯203220≳⇉⪩⨒∯101130⪡(↥≼⋛⪩⨒∯122220)∈)=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=((⪩⨒∯311001≥⨤⩑⪩⨒∯311100)⊹∫⫚(⫎≠⋺⪩⨒∯132013)⊿∆)⨵⪆(⪩⨒∯203220≳⇉⪩⨒∯101130⪡(↥≼⋛⪩⨒∯122220)∈)","cot":[{"info":"⪩⨒∯311001≥⨤⩑⪩⨒∯311100=⪩⨒∯103102","layer":3},{"info":"⫎≠⋺⪩⨒∯132013=⪩⨒∯0","layer":3},{"info":"⪩⨒∯103102⊹∫⫚⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⊿∆=⪩⨒∯-1321","layer":1},{"info":"⪩⨒∯203220≳⇉⪩⨒∯101130=NaN","layer":3},{"info":"↥≼⋛⪩⨒∯122220=⪩⨒∯-1301","layer":3},{"info":"NaN⪡⪩⨒∯-1301=NaN","layer":2},{"info":"NaN∈=NaN","layer":1},{"info":"⪩⨒∯-1321⨵⪆NaN=⪩⨒∯2200","layer":0}]}
{"id":724,"expression_no_base_symbol":"((⨑⩽⪐$5009$+⇶⊼$2361$)⊹≧⊝)≴⪞⇿(($1037$⩨$2102$⊍⩺⋍($5590$⫚↹⊑$9627$))∊∟⩊((⨭⩧⫛$2016$)⋣⋖$5689$∘$4658$))","expression":"((⨑⩽⪐⪩⨒∯1032101+⇶⊼⪩⨒∯210321)⊹≧⊝)≴⪞⇿((⪩⨒∯100031⩨⪩⨒∯200312⊍⩺⋍(⪩⨒∯1113112⫚↹⊑⪩⨒∯2112123))∊∟⩊((⨭⩧⫛⪩⨒∯133200)⋣⋖⪩⨒∯1120321∘⪩⨒∯1020302))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":343,"operation_count":11,"complexity_ratio":31.181818181818183,"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":5009,"base":4},"right_expr":{"type":"numeric_atoms","value":2361,"base":4}}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1037,"base":4},"right_expr":{"type":"numeric_atoms","value":2102,"base":4}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5590,"base":4},"right_expr":{"type":"numeric_atoms","value":9627,"base":4}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":2016,"base":4}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":5689,"base":4},"right_expr":{"type":"numeric_atoms","value":4658,"base":4}}}}},"used_operators":["lvlrscuwVU","LxFB4K6j0n","AF7qkfDlqP","TpPTUOHfaN","ddLRYrp01A","OXDGMFPWZM","2DlMacCsIx","dfKe02y8D2","J0M6qkBnIM","g21JL6JxX7","Z5m6OM72h2"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","eH2TOUuTDT","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=5009","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=5009, right_input=2361, 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 = 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 unary expreesion, input=nan, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=nan","layer":1},{"info":"number node, value=1037","layer":4},{"info":"number node, value=2102","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=2102, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=5590","layer":4},{"info":"number node, value=9627","layer":4},{"info":"compute binary expreesion, left_input=5590, right_input=9627, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=-447, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=2016","layer":4},{"info":"compute unary expreesion, input=2016, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"info":"number node, value=5689","layer":4},{"info":"number node, value=4658","layer":4},{"info":"compute binary expreesion, left_input=5689, right_input=4658, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=11378","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11378, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⨑⩽⪐⪩⨒∯1032101+⇶⊼⪩⨒∯210321)⊹≧⊝)≴⪞⇿((⪩⨒∯100031⩨⪩⨒∯200312⊍⩺⋍(⪩⨒∯1113112⫚↹⊑⪩⨒∯2112123))∊∟⩊((⨭⩧⫛⪩⨒∯133200)⋣⋖⪩⨒∯1120321∘⪩⨒∯1020302))=NaN","reverse_text":"NaN=((⨑⩽⪐⪩⨒∯1032101+⇶⊼⪩⨒∯210321)⊹≧⊝)≴⪞⇿((⪩⨒∯100031⩨⪩⨒∯200312⊍⩺⋍(⪩⨒∯1113112⫚↹⊑⪩⨒∯2112123))∊∟⩊((⨭⩧⫛⪩⨒∯133200)⋣⋖⪩⨒∯1120321∘⪩⨒∯1020302))","cot":[{"info":"⪩⨒∯1032101+⇶⊼⪩⨒∯210321=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"NaN⊹≧⊝=NaN","layer":1},{"info":"⪩⨒∯100031⩨⪩⨒∯200312=⪩⨒∯-12","layer":3},{"info":"⪩⨒∯1113112⫚↹⊑⪩⨒∯2112123=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯-12⊍⩺⋍⪩⨒∯-12333=NaN","layer":2},{"info":"⨭⩧⫛⪩⨒∯133200=NaN","layer":3},{"info":"⪩⨒∯1120321∘⪩⨒∯1020302=⪩⨒∯2301302","layer":3},{"info":"NaN⋣⋖⪩⨒∯2301302=NaN","layer":2},{"info":"NaN∊∟⩊NaN=NaN","layer":1},{"info":"NaN≴⪞⇿NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"($2163$⊾⪯⋞$6235$)≌($6899$⪒$2771$)⪪($1162$⊋$1665$⨳⩥⨓$2630$≀⫉$4667$)⋓(⊁⨺($5003$⫔⩽⩺$4166$)⪃⊛⇣($1346$∛$1185$))","expression":"(⪩⨒∯201303⊾⪯⋞⪩⨒∯1201123)≌(⪩⨒∯1223303⪒⪩⨒∯223103)⪪(⪩⨒∯102022⊋⪩⨒∯122001⨳⩥⨓⪩⨒∯221012≀⫉⪩⨒∯1020323)⋓(⊁⨺(⪩⨒∯1032023⫔⩽⩺⪩⨒∯1001012)⪃⊛⇣(⪩⨒∯111002∛⪩⨒∯102201))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12098,"operation_count":12,"complexity_ratio":1008.1666666666666,"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":2163,"base":4},"right_expr":{"type":"numeric_atoms","value":6235,"base":4}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6899,"base":4},"right_expr":{"type":"numeric_atoms","value":2771,"base":4}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1162,"base":4},"right_expr":{"type":"numeric_atoms","value":1665,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2630,"base":4},"right_expr":{"type":"numeric_atoms","value":4667,"base":4}}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":5003,"base":4},"right_expr":{"type":"numeric_atoms","value":4166,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1346,"base":4},"right_expr":{"type":"numeric_atoms","value":1185,"base":4}}}}},"used_operators":["T2fj7uvVaJ","xD69zh8xqp","lyWz822IDG","HK0tfVPux8","f6k1SAg4EE","nCS4ZIUYfx","W4tP9CfskL","oZj3VtZNQx","PxiHyQbrIp","rrgAzCduG9","i9eR4S00cU","w2537kitQq"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","FU0Cs4j7VP","JclMnS0uGI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","Tw270M8GLb","fu6greOZ01","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2163","layer":4},{"info":"number node, value=6235","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=6235, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=12044","layer":3},{"info":"number node, value=6899","layer":4},{"info":"number node, value=2771","layer":4},{"info":"compute binary expreesion, left_input=6899, right_input=2771, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9670","layer":3},{"info":"compute binary expreesion, left_input=12044, right_input=-9670, 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=1162","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=1162, right_input=1665, 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=-5881664","layer":3},{"info":"number node, value=2630","layer":4},{"info":"number node, value=4667","layer":4},{"info":"compute binary expreesion, left_input=2630, right_input=4667, 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=-5881664, right_input=2822, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5884486","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5884486, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":1},{"info":"number node, value=5003","layer":4},{"info":"number node, value=4166","layer":4},{"info":"compute binary expreesion, left_input=5003, right_input=4166, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":3},{"info":"number node, value=1346","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=1185, 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=nan, right_input=67, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":2},{"info":"compute unary expreesion, input=1234, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, 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":4,"result_base":4,"text":"(⪩⨒∯201303⊾⪯⋞⪩⨒∯1201123)≌(⪩⨒∯1223303⪒⪩⨒∯223103)⪪(⪩⨒∯102022⊋⪩⨒∯122001⨳⩥⨓⪩⨒∯221012≀⫉⪩⨒∯1020323)⋓(⊁⨺(⪩⨒∯1032023⫔⩽⩺⪩⨒∯1001012)⪃⊛⇣(⪩⨒∯111002∛⪩⨒∯102201))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⪩⨒∯201303⊾⪯⋞⪩⨒∯1201123)≌(⪩⨒∯1223303⪒⪩⨒∯223103)⪪(⪩⨒∯102022⊋⪩⨒∯122001⨳⩥⨓⪩⨒∯221012≀⫉⪩⨒∯1020323)⋓(⊁⨺(⪩⨒∯1032023⫔⩽⩺⪩⨒∯1001012)⪃⊛⇣(⪩⨒∯111002∛⪩⨒∯102201))","cot":[{"info":"⪩⨒∯201303⊾⪯⋞⪩⨒∯1201123=⪩⨒∯2330030","layer":3},{"info":"⪩⨒∯1223303⪒⪩⨒∯223103=⪩⨒∯-2113012","layer":3},{"info":"⪩⨒∯2330030≌⪩⨒∯-2113012=NaN","layer":2},{"info":"⪩⨒∯102022⊋⪩⨒∯122001=⪩⨒∯-112123331000","layer":3},{"info":"⪩⨒∯221012≀⫉⪩⨒∯1020323=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯-112123331000⨳⩥⨓⪩⨒∯230012=⪩⨒∯112130221012","layer":2},{"info":"NaN⪪⪩⨒∯112130221012=NaN","layer":1},{"info":"⪩⨒∯1032023⫔⩽⩺⪩⨒∯1001012=NaN","layer":3},{"info":"⪩⨒∯111002∛⪩⨒∯102201=⪩⨒∯1003","layer":3},{"info":"NaN⪃⊛⇣⪩⨒∯1003=⪩⨒∯103102","layer":2},{"info":"⊁⨺⪩⨒∯103102=⪩⨒∯2200","layer":1},{"info":"NaN⋓⪩⨒∯2200=⪩⨒∯0","layer":0}]}
{"id":726,"expression_no_base_symbol":"(((⊖$2092$)⨉)↱$1432$⋣⋖$1420$⇷($1333$∽$1511$))⪍↜⋙((($8032$⪢$1436$)⪗)⫸⊐(⇾⩊⇾($3234$⫳≱↱$6119$)))","expression":"(((⊖⪩⨒∯200230)⨉)↱⪩⨒∯112120⋣⋖⪩⨒∯112030⇷(⪩⨒∯110311∽⪩⨒∯113213))⪍↜⋙(((⪩⨒∯1331200⪢⪩⨒∯112130)⪗)⫸⊐(⇾⩊⇾(⪩⨒∯302202⫳≱↱⪩⨒∯1133213)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":22782,"operation_count":12,"complexity_ratio":1898.5,"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":2092,"base":4}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":1432,"base":4},"right_expr":{"type":"numeric_atoms","value":1420,"base":4}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1333,"base":4},"right_expr":{"type":"numeric_atoms","value":1511,"base":4}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8032,"base":4},"right_expr":{"type":"numeric_atoms","value":1436,"base":4}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":3234,"base":4},"right_expr":{"type":"numeric_atoms","value":6119,"base":4}}}}},"used_operators":["L05ObWFQCd","SR5kFfdi6N","aMUSaJuDRU","U6pG0PXrV3","mp7IySMOzn","J0M6qkBnIM","y4ImoPnbV5","mqXw5SEYmG","VEQNXA0ZBg","dWAJyo7jo9","bx9Z9DAK5y","ZvLB05nZmT"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","NTOWxs364D","QMFrweE19q","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","k8jYdgA6NY","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2092","layer":4},{"info":"compute unary expreesion, input=2092, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2328","layer":2},{"info":"number node, value=1432","layer":4},{"info":"number node, value=1420","layer":4},{"info":"compute binary expreesion, left_input=1432, right_input=1420, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=1432","layer":3},{"info":"number node, value=1333","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1511, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-11020","layer":3},{"info":"compute binary expreesion, left_input=1432, right_input=-11020, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2328, 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":"number node, value=8032","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=8032, right_input=1436, 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 = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"number node, value=3234","layer":4},{"info":"number node, value=6119","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=6119, 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 = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-4650","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4650, 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":1},{"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":0}],"base":4,"result_base":4,"text":"(((⊖⪩⨒∯200230)⨉)↱⪩⨒∯112120⋣⋖⪩⨒∯112030⇷(⪩⨒∯110311∽⪩⨒∯113213))⪍↜⋙(((⪩⨒∯1331200⪢⪩⨒∯112130)⪗)⫸⊐(⇾⩊⇾(⪩⨒∯302202⫳≱↱⪩⨒∯1133213)))=NaN","reverse_text":"NaN=(((⊖⪩⨒∯200230)⨉)↱⪩⨒∯112120⋣⋖⪩⨒∯112030⇷(⪩⨒∯110311∽⪩⨒∯113213))⪍↜⋙(((⪩⨒∯1331200⪢⪩⨒∯112130)⪗)⫸⊐(⇾⩊⇾(⪩⨒∯302202⫳≱↱⪩⨒∯1133213)))","cot":[{"info":"⊖⪩⨒∯200230=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⨉=⪩⨒∯210120","layer":2},{"info":"⪩⨒∯112120⋣⋖⪩⨒∯112030=⪩⨒∯112120","layer":3},{"info":"⪩⨒∯110311∽⪩⨒∯113213=⪩⨒∯-2230030","layer":3},{"info":"⪩⨒∯112120⇷⪩⨒∯-2230030=NaN","layer":2},{"info":"⪩⨒∯210120↱NaN=NaN","layer":1},{"info":"⪩⨒∯1331200⪢⪩⨒∯112130=NaN","layer":3},{"info":"NaN⪗=NaN","layer":2},{"info":"⪩⨒∯302202⫳≱↱⪩⨒∯1133213=⪩⨒∯-3030","layer":3},{"info":"⇾⩊⇾⪩⨒∯-3030=⪩⨒∯-1020222","layer":2},{"info":"NaN⫸⊐⪩⨒∯-1020222=NaN","layer":1},{"info":"NaN⪍↜⋙NaN=NaN","layer":0}]}
{"id":727,"expression_no_base_symbol":"($3854$⋳⪒$2122$)↓(↩⪖$2838$)⨼⩣(⇈$1269$)⫣⪄⊒($2330$⇆⨓≜)⇍⊗(($3962$∥⊢⊲$1368$⫏⊷)⫰⋱$5667$⫁$2704$↓($2133$⊢))","expression":"(⪩⨒∯330032⋳⪒⪩⨒∯201022)↓(↩⪖⪩⨒∯230112)⨼⩣(⇈⪩⨒∯103311)⫣⪄⊒(⪩⨒∯210122⇆⨓≜)⇍⊗((⪩⨒∯331322∥⊢⊲⪩⨒∯111120⫏⊷)⫰⋱⪩⨒∯1120203⫁⪩⨒∯222100↓(⪩⨒∯201111⊢))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":315913,"operation_count":14,"complexity_ratio":22565.214285714286,"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":3854,"base":4},"right_expr":{"type":"numeric_atoms","value":2122,"base":4}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":2838,"base":4}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1269,"base":4}},"right_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":2330,"base":4}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⫏⊷","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":3962,"base":4},"right_expr":{"type":"numeric_atoms","value":1368,"base":4}}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5667,"base":4},"right_expr":{"type":"numeric_atoms","value":2704,"base":4}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":2133,"base":4}}}}},"used_operators":["5uvYHDjeKN","JxwMv5le6e","Af076pWI7l","12rbrZMWeM","fG6uBQFnGz","RabNbG55vr","SLLxy00UIr","KvvgdUaMHJ","6o9Blt3TJ6","dcShxvzhyw","v1UQAVDJRr","0ajvFaJAv0","40aOVDgCDB"],"dependent_operators":["Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","Uaa54Peajs","KYD54nUTWz","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","FU0Cs4j7VP","7YooWSwCyH","HK0tfVPux8","EBcxylXtPf","rGHVDoGpnC","cHh1gJQ2o6","AHs5Up7iyr","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3854","layer":4},{"info":"number node, value=2122","layer":4},{"info":"compute binary expreesion, left_input=3854, right_input=2122, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5299","layer":3},{"info":"number node, value=2838","layer":4},{"info":"compute unary expreesion, input=2838, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-20010","layer":3},{"info":"compute binary expreesion, left_input=5299, right_input=-20010, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":2},{"info":"number node, value=1269","layer":4},{"info":"compute unary expreesion, input=1269, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"number node, value=2330","layer":4},{"info":"compute unary expreesion, input=2330, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-447, 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":"compute binary expreesion, left_input=-134, right_input=160, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"number node, value=3962","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=3962, right_input=1368, 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 = dcShxvzhyw, unary_op_definition = 'a⫏⊷ = { ((224∪⫐a)⊾⪯⋞(a↛⩡⫤)) }', output=nan","layer":2},{"info":"number node, value=5667","layer":4},{"info":"number node, value=2704","layer":4},{"info":"compute binary expreesion, left_input=5667, right_input=2704, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=2133","layer":4},{"info":"compute unary expreesion, input=2133, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-2380","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2380, 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=nan, right_input=-134, 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 = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯330032⋳⪒⪩⨒∯201022)↓(↩⪖⪩⨒∯230112)⨼⩣(⇈⪩⨒∯103311)⫣⪄⊒(⪩⨒∯210122⇆⨓≜)⇍⊗((⪩⨒∯331322∥⊢⊲⪩⨒∯111120⫏⊷)⫰⋱⪩⨒∯1120203⫁⪩⨒∯222100↓(⪩⨒∯201111⊢))=NaN","reverse_text":"NaN=(⪩⨒∯330032⋳⪒⪩⨒∯201022)↓(↩⪖⪩⨒∯230112)⨼⩣(⇈⪩⨒∯103311)⫣⪄⊒(⪩⨒∯210122⇆⨓≜)⇍⊗((⪩⨒∯331322∥⊢⊲⪩⨒∯111120⫏⊷)⫰⋱⪩⨒∯1120203⫁⪩⨒∯222100↓(⪩⨒∯201111⊢))","cot":[{"info":"⪩⨒∯330032⋳⪒⪩⨒∯201022=⪩⨒∯1102303","layer":3},{"info":"↩⪖⪩⨒∯230112=⪩⨒∯-10320222","layer":3},{"info":"⪩⨒∯1102303↓⪩⨒∯-10320222=⪩⨒∯-2012","layer":2},{"info":"⇈⪩⨒∯103311=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯210122⇆⨓≜=NaN","layer":3},{"info":"⪩⨒∯-12333⫣⪄⊒NaN=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯-2012⨼⩣⪩⨒∯2200=NaN","layer":1},{"info":"⪩⨒∯331322∥⊢⊲⪩⨒∯111120=NaN","layer":3},{"info":"NaN⫏⊷=NaN","layer":2},{"info":"⪩⨒∯1120203⫁⪩⨒∯222100=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯201111⊢=⪩⨒∯-211030","layer":3},{"info":"⪩⨒∯2200↓⪩⨒∯-211030=⪩⨒∯-2012","layer":2},{"info":"NaN⫰⋱⪩⨒∯-2012=NaN","layer":1},{"info":"NaN⇍⊗NaN=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"(($1039$⋹⋡⊁$3219$⋓$1328$⊮⊟↴$1608$)⇌⫙⪟((⪲⇎$3728$)∙∹∝(↥$1321$)))≝⊿((($2045$⇆⨓≜)⫠↝⫳)⨰((⊊≼∋$1301$)⪄($2566$⊚⫡⫭)))","expression":"((⪩⨒∯100033⋹⋡⊁⪩⨒∯302103⋓⪩⨒∯110300⊮⊟↴⪩⨒∯121020)⇌⫙⪟((⪲⇎⪩⨒∯322100)∙∹∝(↥⪩⨒∯110221)))≝⊿(((⪩⨒∯133331⇆⨓≜)⫠↝⫳)⨰((⊊≼∋⪩⨒∯110111)⪄(⪩⨒∯220012⊚⫡⫭)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":64268,"operation_count":14,"complexity_ratio":4590.571428571428,"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":1039,"base":4},"right_expr":{"type":"numeric_atoms","value":3219,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1328,"base":4},"right_expr":{"type":"numeric_atoms","value":1608,"base":4}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3728,"base":4}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1321,"base":4}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫠↝⫳","unary_expr":{"type":"unary","operator":"⇆⨓≜","unary_expr":{"type":"numeric_atoms","value":2045,"base":4}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1301,"base":4}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":2566,"base":4}}}}},"used_operators":["OKKcZfAt5B","AFVx7xoS7T","T2fj7uvVaJ","As8RqfVLgs","QDVgd2eftb","HmxsFra2vL","XPYlsWDdGa","A8NUZmVepG","eewbuw0ToL","8n5YIzOsVS","KvvgdUaMHJ","SUmda5xLS4","FWz7pXsQhA","SpZWOsLKZJ"],"dependent_operators":["12rbrZMWeM","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","Uaa54Peajs","KYD54nUTWz","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","jCPkEVoL5K","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"number node, value=3219","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3219, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3969","layer":3},{"info":"number node, value=1328","layer":4},{"info":"number node, value=1608","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=1608, 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=3969, right_input=0, 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=3728","layer":4},{"info":"compute unary expreesion, input=3728, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7456","layer":3},{"info":"number node, value=1321","layer":4},{"info":"compute unary expreesion, input=1321, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":3},{"info":"compute binary expreesion, left_input=7456, right_input=46, 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 = 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=2045","layer":4},{"info":"compute unary expreesion, input=2045, op_id = KvvgdUaMHJ, unary_op_definition = 'a⇆⨓≜ = { (∂(a⫥∨⫟a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=nan","layer":2},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=-447","layer":3},{"info":"number node, value=2566","layer":4},{"info":"compute unary expreesion, input=2566, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-4206","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-4206, 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=nan, right_input=3979, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯100033⋹⋡⊁⪩⨒∯302103⋓⪩⨒∯110300⊮⊟↴⪩⨒∯121020)⇌⫙⪟((⪲⇎⪩⨒∯322100)∙∹∝(↥⪩⨒∯110221)))≝⊿(((⪩⨒∯133331⇆⨓≜)⫠↝⫳)⨰((⊊≼∋⪩⨒∯110111)⪄(⪩⨒∯220012⊚⫡⫭)))=NaN","reverse_text":"NaN=((⪩⨒∯100033⋹⋡⊁⪩⨒∯302103⋓⪩⨒∯110300⊮⊟↴⪩⨒∯121020)⇌⫙⪟((⪲⇎⪩⨒∯322100)∙∹∝(↥⪩⨒∯110221)))≝⊿(((⪩⨒∯133331⇆⨓≜)⫠↝⫳)⨰((⊊≼∋⪩⨒∯110111)⪄(⪩⨒∯220012⊚⫡⫭)))","cot":[{"info":"⪩⨒∯100033⋹⋡⊁⪩⨒∯302103=⪩⨒∯332001","layer":3},{"info":"⪩⨒∯110300⊮⊟↴⪩⨒∯121020=⪩⨒∯0","layer":3},{"info":"⪩⨒∯332001⋓⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪲⇎⪩⨒∯322100=⪩⨒∯1310200","layer":3},{"info":"↥⪩⨒∯110221=⪩⨒∯232","layer":3},{"info":"⪩⨒∯1310200∙∹∝⪩⨒∯232=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⇌⫙⪟⪩⨒∯0=⪩⨒∯1301","layer":1},{"info":"⪩⨒∯133331⇆⨓≜=NaN","layer":3},{"info":"NaN⫠↝⫳=NaN","layer":2},{"info":"⊊≼∋⪩⨒∯110111=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯220012⊚⫡⫭=⪩⨒∯-1001232","layer":3},{"info":"⪩⨒∯-12333⪄⪩⨒∯-1001232=⪩⨒∯332023","layer":2},{"info":"NaN⨰⪩⨒∯332023=NaN","layer":1},{"info":"⪩⨒∯1301≝⊿NaN=NaN","layer":0}]}
{"id":729,"expression_no_base_symbol":"(($7987$⪇≇⋚$3077$↸$5252$⋹⋡⊁$2140$)∀⊥⇻)∠⫱(($3090$⨜⨶$2655$⨴∎)*(⊲⪭($1922$⊱⇼⊻$4733$)))","expression":"((⪩⨒∯1330303⪇≇⋚⪩⨒∯300011↸⪩⨒∯1102010⋹⋡⊁⪩⨒∯201130)∀⊥⇻)∠⫱((⪩⨒∯300102⨜⨶⪩⨒∯221133⨴∎)*(⊲⪭(⪩⨒∯132002⊱⇼⊻⪩⨒∯1021331)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":67909,"operation_count":10,"complexity_ratio":6790.9,"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":7987,"base":4},"right_expr":{"type":"numeric_atoms","value":3077,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":5252,"base":4},"right_expr":{"type":"numeric_atoms","value":2140,"base":4}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":3090,"base":4},"right_expr":{"type":"numeric_atoms","value":2655,"base":4}}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1922,"base":4},"right_expr":{"type":"numeric_atoms","value":4733,"base":4}}}}},"used_operators":["QvoQhV0rrE","k4iM1060OG","1eCjFl0mb9","3sJ7IOPOlU","As8RqfVLgs","9HNa5Wba9A","CpSg5vQTgA","HiPekx5b7W","k7HXdKtiEU","FyVja0WsTP"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","W4YGzv6Whe","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","i8ToyICDmI","xUOZtlo3hN","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7987","layer":4},{"info":"number node, value=3077","layer":4},{"info":"compute binary expreesion, left_input=7987, right_input=3077, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"number node, value=5252","layer":4},{"info":"number node, value=2140","layer":4},{"info":"compute binary expreesion, left_input=5252, right_input=2140, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2890","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2890, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', 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":"number node, value=3090","layer":4},{"info":"number node, value=2655","layer":4},{"info":"compute binary expreesion, left_input=3090, right_input=2655, 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=-5054","layer":3},{"info":"compute unary expreesion, input=-5054, 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=1922","layer":4},{"info":"number node, value=4733","layer":4},{"info":"compute binary expreesion, left_input=1922, right_input=4733, 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 = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-608","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-608, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1330303⪇≇⋚⪩⨒∯300011↸⪩⨒∯1102010⋹⋡⊁⪩⨒∯201130)∀⊥⇻)∠⫱((⪩⨒∯300102⨜⨶⪩⨒∯221133⨴∎)*(⊲⪭(⪩⨒∯132002⊱⇼⊻⪩⨒∯1021331)))=NaN","reverse_text":"NaN=((⪩⨒∯1330303⪇≇⋚⪩⨒∯300011↸⪩⨒∯1102010⋹⋡⊁⪩⨒∯201130)∀⊥⇻)∠⫱((⪩⨒∯300102⨜⨶⪩⨒∯221133⨴∎)*(⊲⪭(⪩⨒∯132002⊱⇼⊻⪩⨒∯1021331)))","cot":[{"info":"⪩⨒∯1330303⪇≇⋚⪩⨒∯300011=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1102010⋹⋡⊁⪩⨒∯201130=⪩⨒∯231022","layer":3},{"info":"⪩⨒∯0↸⪩⨒∯231022=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0∀⊥⇻=⪩⨒∯0","layer":1},{"info":"⪩⨒∯300102⨜⨶⪩⨒∯221133=⪩⨒∯-1032332","layer":3},{"info":"⪩⨒∯-1032332⨴∎=NaN","layer":2},{"info":"⪩⨒∯132002⊱⇼⊻⪩⨒∯1021331=⪩⨒∯12302","layer":3},{"info":"⊲⪭⪩⨒∯12302=⪩⨒∯-21200","layer":2},{"info":"NaN*⪩⨒∯-21200=NaN","layer":1},{"info":"⪩⨒∯0∠⫱NaN=NaN","layer":0}]}
{"id":730,"expression_no_base_symbol":"⩦⊞((⩰$2355$⫯⪬∳$2726$)∲⫓(($3879$≄⊠$1047$)⩁))","expression":"⩦⊞((⩰⪩⨒∯210303⫯⪬∳⪩⨒∯222212)∲⫓((⪩⨒∯330213≄⊠⪩⨒∯100113)⩁))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":109,"operation_count":6,"complexity_ratio":18.166666666666668,"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":2355,"base":4},"right_expr":{"type":"numeric_atoms","value":2726,"base":4}}},"right_expr":{"type":"unary","operator":"⩁","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3879,"base":4},"right_expr":{"type":"numeric_atoms","value":1047,"base":4}}}}},"used_operators":["u7fv1HBiaC","i8ToyICDmI","WkeUrDK8WX","d7ASUq0ydm","5GqDbVmqXU","vXNesLlMH1"],"dependent_operators":["eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","7j4O788W3g","jLgFTUHLKL","8cLx32lpNA","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI"],"result":"⪩⨒∯-10323330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2355","layer":4},{"info":"number node, value=2726","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=2726, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=9082","layer":3},{"info":"compute unary expreesion, input=9082, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-10082","layer":2},{"info":"number node, value=3879","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=3879, 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":"compute unary expreesion, input=21420, op_id = 5GqDbVmqXU, unary_op_definition = 'a⩁ = { ((↩a)∌(a↺a)) }', output=-168580","layer":2},{"info":"compute binary expreesion, left_input=-10082, right_input=-168580, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-10082","layer":1},{"info":"compute unary expreesion, input=-10082, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-20220","layer":0}],"base":4,"result_base":4,"text":"⩦⊞((⩰⪩⨒∯210303⫯⪬∳⪩⨒∯222212)∲⫓((⪩⨒∯330213≄⊠⪩⨒∯100113)⩁))=⪩⨒∯-10323330","reverse_text":"⪩⨒∯-10323330=⩦⊞((⩰⪩⨒∯210303⫯⪬∳⪩⨒∯222212)∲⫓((⪩⨒∯330213≄⊠⪩⨒∯100113)⩁))","cot":[{"info":"⪩⨒∯210303⫯⪬∳⪩⨒∯222212=⪩⨒∯2031322","layer":3},{"info":"⩰⪩⨒∯2031322=⪩⨒∯-2131202","layer":2},{"info":"⪩⨒∯330213≄⊠⪩⨒∯100113=⪩⨒∯11032230","layer":3},{"info":"⪩⨒∯11032230⩁=⪩⨒∯-221022010","layer":2},{"info":"⪩⨒∯-2131202∲⫓⪩⨒∯-221022010=⪩⨒∯-2131202","layer":1},{"info":"⩦⊞⪩⨒∯-2131202=⪩⨒∯-10323330","layer":0}]}
{"id":731,"expression_no_base_symbol":"($1582$⪕$3738$≃$8459$⊲⩕⊾$1111$)⫁⪎($1079$⨭⪣$8372$)↢($1460$⋛$1010$)%((⇠$7051$)⪎↠($3032$⩏))⫗⊷⫓($6608$∣$2968$⋅⇍($6079$≓∲$5677$))","expression":"(⪩⨒∯120232⪕⪩⨒∯322122≃⪩⨒∯2010023⊲⩕⊾⪩⨒∯101113)⫁⪎(⪩⨒∯100313⨭⪣⪩⨒∯2002310)↢(⪩⨒∯112310⋛⪩⨒∯33302)%((⇠⪩⨒∯1232023)⪎↠(⪩⨒∯233120⩏))⫗⊷⫓(⪩⨒∯1213100∣⪩⨒∯232120⋅⇍(⪩⨒∯1132333≓∲⪩⨒∯1120231))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":24612,"operation_count":15,"complexity_ratio":1640.8,"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":1582,"base":4},"right_expr":{"type":"numeric_atoms","value":3738,"base":4}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":8459,"base":4},"right_expr":{"type":"numeric_atoms","value":1111,"base":4}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1079,"base":4},"right_expr":{"type":"numeric_atoms","value":8372,"base":4}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1460,"base":4},"right_expr":{"type":"numeric_atoms","value":1010,"base":4}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":7051,"base":4}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"numeric_atoms","value":3032,"base":4}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":6608,"base":4},"right_expr":{"type":"numeric_atoms","value":2968,"base":4}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":6079,"base":4},"right_expr":{"type":"numeric_atoms","value":5677,"base":4}}}}},"used_operators":["k8jYdgA6NY","xRrnTEsQ6j","YbVcJGFEVW","umQnsF7QlU","DmTXOeWf9t","WR6HLWljOP","kn8WO9XteQ","YbUVn0Rbpy","zashukvMKz","3tVxb0NHM4","18saOjeKKm","iA2gmKZ3Wj","AdZkA7nFnk","PPChnnnBFF","s1XTVnmDOJ"],"dependent_operators":["rysDP5nf3Z","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","z6LnFrNh4i","Tcnh7f0tEr","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu"],"result":"⪩⨒∯-202","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1582","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=3738, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"number node, value=8459","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=8459, right_input=1111, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-143084","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-143084, 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=572296","layer":2},{"info":"number node, value=1079","layer":4},{"info":"number node, value=8372","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=8372, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-200","layer":3},{"info":"number node, value=1460","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1460, right_input=1010, 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=-119052","layer":3},{"info":"compute binary expreesion, left_input=-200, right_input=-119052, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=-238504","layer":2},{"info":"compute binary expreesion, left_input=572296, right_input=-238504, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=810800","layer":1},{"info":"number node, value=7051","layer":4},{"info":"compute unary expreesion, input=7051, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-6809","layer":3},{"info":"number node, value=3032","layer":4},{"info":"compute unary expreesion, input=3032, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6809, right_input=0, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', output=-55","layer":2},{"info":"number node, value=6608","layer":4},{"info":"number node, value=2968","layer":4},{"info":"compute binary expreesion, left_input=6608, right_input=2968, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6608","layer":3},{"info":"number node, value=6079","layer":4},{"info":"number node, value=5677","layer":4},{"info":"compute binary expreesion, left_input=6079, right_input=5677, 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=61573","layer":3},{"info":"compute binary expreesion, left_input=6608, right_input=61573, 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=-55, right_input=-22, 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=810800, right_input=-134, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-34","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯120232⪕⪩⨒∯322122≃⪩⨒∯2010023⊲⩕⊾⪩⨒∯101113)⫁⪎(⪩⨒∯100313⨭⪣⪩⨒∯2002310)↢(⪩⨒∯112310⋛⪩⨒∯33302)%((⇠⪩⨒∯1232023)⪎↠(⪩⨒∯233120⩏))⫗⊷⫓(⪩⨒∯1213100∣⪩⨒∯232120⋅⇍(⪩⨒∯1132333≓∲⪩⨒∯1120231))=⪩⨒∯-202","reverse_text":"⪩⨒∯-202=(⪩⨒∯120232⪕⪩⨒∯322122≃⪩⨒∯2010023⊲⩕⊾⪩⨒∯101113)⫁⪎(⪩⨒∯100313⨭⪣⪩⨒∯2002310)↢(⪩⨒∯112310⋛⪩⨒∯33302)%((⇠⪩⨒∯1232023)⪎↠(⪩⨒∯233120⩏))⫗⊷⫓(⪩⨒∯1213100∣⪩⨒∯232120⋅⇍(⪩⨒∯1132333≓∲⪩⨒∯1120231))","cot":[{"info":"⪩⨒∯120232⪕⪩⨒∯322122=⪩⨒∯-313","layer":3},{"info":"⪩⨒∯2010023⊲⩕⊾⪩⨒∯101113=⪩⨒∯-202323230","layer":3},{"info":"⪩⨒∯-313≃⪩⨒∯-202323230=⪩⨒∯2023232020","layer":2},{"info":"⪩⨒∯100313⨭⪣⪩⨒∯2002310=⪩⨒∯-3020","layer":3},{"info":"⪩⨒∯112310⋛⪩⨒∯33302=⪩⨒∯-131010030","layer":3},{"info":"⪩⨒∯-3020↢⪩⨒∯-131010030=⪩⨒∯-322032220","layer":2},{"info":"⪩⨒∯2023232020⫁⪎⪩⨒∯-322032220=⪩⨒∯3011330300","layer":1},{"info":"⇠⪩⨒∯1232023=⪩⨒∯-1222121","layer":3},{"info":"⪩⨒∯233120⩏=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-1222121⪎↠⪩⨒∯0=⪩⨒∯-313","layer":2},{"info":"⪩⨒∯1213100∣⪩⨒∯232120=⪩⨒∯1213100","layer":3},{"info":"⪩⨒∯1132333≓∲⪩⨒∯1120231=⪩⨒∯33002011","layer":3},{"info":"⪩⨒∯1213100⋅⇍⪩⨒∯33002011=⪩⨒∯-112","layer":2},{"info":"⪩⨒∯-313⫗⊷⫓⪩⨒∯-112=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯3011330300%⪩⨒∯-2012=⪩⨒∯-202","layer":0}]}
{"id":732,"expression_no_base_symbol":"⨵(⋗⩴⪓($2976$⋾⨃∁$7441$))⊮⊟↴($8662$⪎↠$3524$≦≮≮)","expression":"⨵(⋗⩴⪓(⪩⨒∯232200⋾⨃∁⪩⨒∯1310101))⊮⊟↴(⪩⨒∯2013112⪎↠⪩⨒∯313010≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7625,"operation_count":6,"complexity_ratio":1270.8333333333333,"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":2976,"base":4},"right_expr":{"type":"numeric_atoms","value":7441,"base":4}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":8662,"base":4},"right_expr":{"type":"numeric_atoms","value":3524,"base":4}}}}},"used_operators":["Tl3Y52tvF8","QDVgd2eftb","nOKPl9n5zu","212REbPD9h","D4vGDi5EA2","3tVxb0NHM4"],"dependent_operators":["gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2976","layer":4},{"info":"number node, value=7441","layer":4},{"info":"compute binary expreesion, left_input=2976, right_input=7441, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=553595424","layer":3},{"info":"compute unary expreesion, input=553595424, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-553594511","layer":2},{"info":"number node, value=8662","layer":4},{"info":"number node, value=3524","layer":4},{"info":"compute binary expreesion, left_input=8662, right_input=3524, 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 = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=-553594511, right_input=-480, 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 = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⨵(⋗⩴⪓(⪩⨒∯232200⋾⨃∁⪩⨒∯1310101))⊮⊟↴(⪩⨒∯2013112⪎↠⪩⨒∯313010≦≮≮)=NaN","reverse_text":"NaN=⨵(⋗⩴⪓(⪩⨒∯232200⋾⨃∁⪩⨒∯1310101))⊮⊟↴(⪩⨒∯2013112⪎↠⪩⨒∯313010≦≮≮)","cot":[{"info":"⪩⨒∯232200⋾⨃∁⪩⨒∯1310101=⪩⨒∯200333303020200","layer":3},{"info":"⋗⩴⪓⪩⨒∯200333303020200=⪩⨒∯-200333302322033","layer":2},{"info":"⪩⨒∯2013112⪎↠⪩⨒∯313010=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2200≦≮≮=⪩⨒∯-13200","layer":2},{"info":"⪩⨒∯-200333302322033⊮⊟↴⪩⨒∯-13200=NaN","layer":1},{"info":"⨵NaN=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"($2185$⊲⩕⊾$4282$⫚↹⊑$2823$≄⊠$1579$)⊴$2501$∓⋝$1763$≹⇙⪍(⇨$3284$)∙⊟($2126$⊬⨰$3129$⩒⫫$7598$⪚$4048$)⩌⋺(($2131$∌↝$6074$)⊋($6879$⫌⩉⩟$4181$))","expression":"(⪩⨒∯202021⊲⩕⊾⪩⨒∯1002322⫚↹⊑⪩⨒∯230013≄⊠⪩⨒∯120223)⊴⪩⨒∯213011∓⋝⪩⨒∯123203≹⇙⪍(⇨⪩⨒∯303110)∙⊟(⪩⨒∯201032⊬⨰⪩⨒∯300321⩒⫫⪩⨒∯1312232⪚⪩⨒∯333100)⩌⋺((⪩⨒∯201103∌↝⪩⨒∯1132322)⊋(⪩⨒∯1223133⫌⩉⩟⪩⨒∯1001111))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21505,"operation_count":15,"complexity_ratio":1433.6666666666667,"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":2185,"base":4},"right_expr":{"type":"numeric_atoms","value":4282,"base":4}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":2823,"base":4},"right_expr":{"type":"numeric_atoms","value":1579,"base":4}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2501,"base":4},"right_expr":{"type":"numeric_atoms","value":1763,"base":4}},"right_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":3284,"base":4}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2126,"base":4},"right_expr":{"type":"numeric_atoms","value":3129,"base":4}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"numeric_atoms","value":7598,"base":4},"right_expr":{"type":"numeric_atoms","value":4048,"base":4}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2131,"base":4},"right_expr":{"type":"numeric_atoms","value":6074,"base":4}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":6879,"base":4},"right_expr":{"type":"numeric_atoms","value":4181,"base":4}}}}},"used_operators":["SxTAKzQCrw","Nsiff2A1zJ","dfKe02y8D2","DmTXOeWf9t","vXNesLlMH1","AHs5Up7iyr","PoHhknlbAi","G9tJMlZ94a","g7Hmc5v1ko","KFSx94NKJn","s3Fd5m9Dh2","HrjLwUk87U","W4tP9CfskL","9Isq31Ruls","XIIwhv8d0m"],"dependent_operators":["6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","dWAJyo7jo9","14qkJME0vr","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","dWAJyo7jo9","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","k8jYdgA6NY","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2185","layer":4},{"info":"number node, value=4282","layer":4},{"info":"compute binary expreesion, left_input=2185, right_input=4282, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-74410","layer":3},{"info":"number node, value=2823","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=1579, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=29932","layer":3},{"info":"compute binary expreesion, left_input=-74410, right_input=29932, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2501","layer":4},{"info":"number node, value=1763","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=1763, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=3284","layer":4},{"info":"compute unary expreesion, input=3284, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=0, 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=67","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=67, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=2126","layer":4},{"info":"number node, value=3129","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=3129, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=13586","layer":3},{"info":"number node, value=7598","layer":4},{"info":"number node, value=4048","layer":4},{"info":"compute binary expreesion, left_input=7598, right_input=4048, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=6744","layer":3},{"info":"compute binary expreesion, left_input=13586, right_input=6744, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=13284","layer":2},{"info":"number node, value=2131","layer":4},{"info":"number node, value=6074","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=6074, 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=6879","layer":4},{"info":"number node, value=4181","layer":4},{"info":"compute binary expreesion, left_input=6879, right_input=4181, 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 = 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=-6454","layer":2},{"info":"compute binary expreesion, left_input=13284, right_input=-6454, 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=-6951","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-6951, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯202021⊲⩕⊾⪩⨒∯1002322⫚↹⊑⪩⨒∯230013≄⊠⪩⨒∯120223)⊴⪩⨒∯213011∓⋝⪩⨒∯123203≹⇙⪍(⇨⪩⨒∯303110)∙⊟(⪩⨒∯201032⊬⨰⪩⨒∯300321⩒⫫⪩⨒∯1312232⪚⪩⨒∯333100)⩌⋺((⪩⨒∯201103∌↝⪩⨒∯1132322)⊋(⪩⨒∯1223133⫌⩉⩟⪩⨒∯1001111))=NaN","reverse_text":"NaN=(⪩⨒∯202021⊲⩕⊾⪩⨒∯1002322⫚↹⊑⪩⨒∯230013≄⊠⪩⨒∯120223)⊴⪩⨒∯213011∓⋝⪩⨒∯123203≹⇙⪍(⇨⪩⨒∯303110)∙⊟(⪩⨒∯201032⊬⨰⪩⨒∯300321⩒⫫⪩⨒∯1312232⪚⪩⨒∯333100)⩌⋺((⪩⨒∯201103∌↝⪩⨒∯1132322)⊋(⪩⨒∯1223133⫌⩉⩟⪩⨒∯1001111))","cot":[{"info":"⪩⨒∯202021⊲⩕⊾⪩⨒∯1002322=⪩⨒∯-102022222","layer":3},{"info":"⪩⨒∯230013≄⊠⪩⨒∯120223=⪩⨒∯13103230","layer":3},{"info":"⪩⨒∯-102022222⫚↹⊑⪩⨒∯13103230=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯213011∓⋝⪩⨒∯123203=⪩⨒∯1003","layer":3},{"info":"⇨⪩⨒∯303110=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1003≹⇙⪍⪩⨒∯0=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯-12333⊴⪩⨒∯1003=NaN","layer":1},{"info":"⪩⨒∯201032⊬⨰⪩⨒∯300321=⪩⨒∯3110102","layer":3},{"info":"⪩⨒∯1312232⪚⪩⨒∯333100=⪩⨒∯1221120","layer":3},{"info":"⪩⨒∯3110102⩒⫫⪩⨒∯1221120=⪩⨒∯3033210","layer":2},{"info":"⪩⨒∯201103∌↝⪩⨒∯1132322=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1223133⫌⩉⩟⪩⨒∯1001111=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯0⊋⪩⨒∯-302=⪩⨒∯-1210312","layer":2},{"info":"⪩⨒∯3033210⩌⋺⪩⨒∯-1210312=⪩⨒∯-1230213","layer":1},{"info":"NaN∙⊟⪩⨒∯-1230213=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"((⩦⊞(∮$4847$))≨((↴⪽⋼$3035$)⇷$4722$⪛$3372$))⫘(⫡⇟⇯($5284$⇣⩺⋵$7580$))↳≱(($1718$≎⊠⪸$3467$)⇌⫙⪟$3717$⊢$2298$)","expression":"((⩦⊞(∮⪩⨒∯1023233))≨((↴⪽⋼⪩⨒∯233123)⇷⪩⨒∯1021302⪛⪩⨒∯310230))⫘(⫡⇟⇯(⪩⨒∯1102210⇣⩺⋵⪩⨒∯1312130))↳≱((⪩⨒∯122312≎⊠⪸⪩⨒∯312023)⇌⫙⪟⪩⨒∯322011⊢⪩⨒∯203322)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":45245,"operation_count":13,"complexity_ratio":3480.3846153846152,"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":4847,"base":4}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3035,"base":4}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4722,"base":4},"right_expr":{"type":"numeric_atoms","value":3372,"base":4}}}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5284,"base":4},"right_expr":{"type":"numeric_atoms","value":7580,"base":4}}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1718,"base":4},"right_expr":{"type":"numeric_atoms","value":3467,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3717,"base":4},"right_expr":{"type":"numeric_atoms","value":2298,"base":4}}}}},"used_operators":["48vC8HMD2b","0KMCeP1Jsh","u7fv1HBiaC","CqXKPLVYql","mp7IySMOzn","5TUYCnJO6w","uFcxV4UQCh","JwTKLfZU96","qWUSsah53b","F4yD0voBRQ","AFVx7xoS7T","bJkvcejdHO","5twsqlHp2o"],"dependent_operators":["OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","DZ8iAZOCBD","P8v4zCKN1o","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC"],"result":"⪩⨒∯13220000311","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4847","layer":4},{"info":"compute unary expreesion, input=4847, 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 = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=78","layer":2},{"info":"number node, value=3035","layer":4},{"info":"compute unary expreesion, input=3035, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3035","layer":3},{"info":"number node, value=4722","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=4722, right_input=3372, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1350","layer":3},{"info":"compute binary expreesion, left_input=3035, right_input=1350, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2700","layer":2},{"info":"compute binary expreesion, left_input=78, right_input=2700, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=1696","layer":1},{"info":"number node, value=5284","layer":4},{"info":"number node, value=7580","layer":4},{"info":"compute binary expreesion, left_input=5284, right_input=7580, 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 = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=1128","layer":2},{"info":"number node, value=1718","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=1718, right_input=3467, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=444489","layer":3},{"info":"number node, value=3717","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=3717, right_input=2298, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7678","layer":3},{"info":"compute binary expreesion, left_input=444489, right_input=-7678, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=-850552","layer":2},{"info":"compute binary expreesion, left_input=1128, right_input=-850552, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1696, right_input=0, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1998901","layer":0}],"base":4,"result_base":4,"text":"((⩦⊞(∮⪩⨒∯1023233))≨((↴⪽⋼⪩⨒∯233123)⇷⪩⨒∯1021302⪛⪩⨒∯310230))⫘(⫡⇟⇯(⪩⨒∯1102210⇣⩺⋵⪩⨒∯1312130))↳≱((⪩⨒∯122312≎⊠⪸⪩⨒∯312023)⇌⫙⪟⪩⨒∯322011⊢⪩⨒∯203322)=⪩⨒∯13220000311","reverse_text":"⪩⨒∯13220000311=((⩦⊞(∮⪩⨒∯1023233))≨((↴⪽⋼⪩⨒∯233123)⇷⪩⨒∯1021302⪛⪩⨒∯310230))⫘(⫡⇟⇯(⪩⨒∯1102210⇣⩺⋵⪩⨒∯1312130))↳≱((⪩⨒∯122312≎⊠⪸⪩⨒∯312023)⇌⫙⪟⪩⨒∯322011⊢⪩⨒∯203322)","cot":[{"info":"∮⪩⨒∯1023233=⪩⨒∯1003","layer":3},{"info":"⩦⊞⪩⨒∯1003=⪩⨒∯1032","layer":2},{"info":"↴⪽⋼⪩⨒∯233123=⪩⨒∯233123","layer":3},{"info":"⪩⨒∯1021302⪛⪩⨒∯310230=⪩⨒∯111012","layer":3},{"info":"⪩⨒∯233123⇷⪩⨒∯111012=⪩⨒∯222030","layer":2},{"info":"⪩⨒∯1032≨⪩⨒∯222030=⪩⨒∯122200","layer":1},{"info":"⪩⨒∯1102210⇣⩺⋵⪩⨒∯1312130=⪩⨒∯-10010","layer":3},{"info":"⫡⇟⇯⪩⨒∯-10010=⪩⨒∯101220","layer":2},{"info":"⪩⨒∯122312≎⊠⪸⪩⨒∯312023=⪩⨒∯1230201021","layer":3},{"info":"⪩⨒∯322011⊢⪩⨒∯203322=⪩⨒∯-1313332","layer":3},{"info":"⪩⨒∯1230201021⇌⫙⪟⪩⨒∯-1313332=⪩⨒∯-3033221320","layer":2},{"info":"⪩⨒∯101220↳≱⪩⨒∯-3033221320=⪩⨒∯0","layer":1},{"info":"⪩⨒∯122200⫘⪩⨒∯0=⪩⨒∯13220000311","layer":0}]}
{"id":735,"expression_no_base_symbol":"(((⇨$4577$)⊍⩺⋍$1359$⪃⊛⇣$1368$)⪮%⊝((↓⇌$2322$)⋐⇩⊬))⋩≍≻","expression":"(((⇨⪩⨒∯1013201)⊍⩺⋍⪩⨒∯111033⪃⊛⇣⪩⨒∯111120)⪮%⊝((↓⇌⪩⨒∯210102)⋐⇩⊬))⋩≍≻","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":809,"operation_count":7,"complexity_ratio":115.57142857142857,"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":4577,"base":4}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1359,"base":4},"right_expr":{"type":"numeric_atoms","value":1368,"base":4}}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":2322,"base":4}}}}},"used_operators":["WYd1w68Nbz","IWmyXbctLI","OXDGMFPWZM","G9tJMlZ94a","rrgAzCduG9","JuuLT1NoCs","PxpmPgHHJV"],"dependent_operators":["P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","k8jYdgA6NY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=4577","layer":4},{"info":"compute unary expreesion, input=4577, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=1368, 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=0, right_input=1234, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=2322","layer":4},{"info":"compute unary expreesion, input=2322, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=2322","layer":3},{"info":"compute unary expreesion, input=2322, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=2322","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2322, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = WYd1w68Nbz, unary_op_definition = 'a⋩≍≻ = { (∥⊫(a⊭↱21)) , if a>=390 ; ((a⨐a)⫸⊐(a⪮%⊝a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⇨⪩⨒∯1013201)⊍⩺⋍⪩⨒∯111033⪃⊛⇣⪩⨒∯111120)⪮%⊝((↓⇌⪩⨒∯210102)⋐⇩⊬))⋩≍≻=NaN","reverse_text":"NaN=(((⇨⪩⨒∯1013201)⊍⩺⋍⪩⨒∯111033⪃⊛⇣⪩⨒∯111120)⪮%⊝((↓⇌⪩⨒∯210102)⋐⇩⊬))⋩≍≻","cot":[{"info":"⇨⪩⨒∯1013201=⪩⨒∯0","layer":3},{"info":"⪩⨒∯111033⪃⊛⇣⪩⨒∯111120=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯0⊍⩺⋍⪩⨒∯103102=NaN","layer":2},{"info":"↓⇌⪩⨒∯210102=⪩⨒∯210102","layer":3},{"info":"⪩⨒∯210102⋐⇩⊬=⪩⨒∯210102","layer":2},{"info":"NaN⪮%⊝⪩⨒∯210102=NaN","layer":1},{"info":"NaN⋩≍≻=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"(($4512$≹⇙⪍$1055$⨻⩈⩔$1024$⪔⊥$2101$)⨘⋶⪀)≓∲($1759$⊱⇼⊻$1001$⨳⩥⨓($6358$≓∲$2833$))⋓((⊈$3588$)∸)","expression":"((⪩⨒∯1012200≹⇙⪍⪩⨒∯100133⨻⩈⩔⪩⨒∯100000⪔⊥⪩⨒∯200311)⨘⋶⪀)≓∲(⪩⨒∯123133⊱⇼⊻⪩⨒∯33221⨳⩥⨓(⪩⨒∯1203112≓∲⪩⨒∯230101))⋓((⊈⪩⨒∯320010)∸)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":461,"operation_count":11,"complexity_ratio":41.90909090909091,"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":4512,"base":4},"right_expr":{"type":"numeric_atoms","value":1055,"base":4}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1024,"base":4},"right_expr":{"type":"numeric_atoms","value":2101,"base":4}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1759,"base":4},"right_expr":{"type":"numeric_atoms","value":1001,"base":4}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":6358,"base":4},"right_expr":{"type":"numeric_atoms","value":2833,"base":4}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":3588,"base":4}}}}},"used_operators":["s1XTVnmDOJ","XVKwrhznBb","nEsXyWgiOK","AHs5Up7iyr","HJ9erzHUuu","T2fj7uvVaJ","nCS4ZIUYfx","FyVja0WsTP","o20kRiQErp","RHru8klgy8"],"dependent_operators":["HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","dWAJyo7jo9","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","tmPS8pqC7x","12rbrZMWeM","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4512","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=4512, right_input=1055, 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=1024","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=2101, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-305","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-305, 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 = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":1},{"info":"number node, value=1759","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1759, right_input=1001, 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=6358","layer":4},{"info":"number node, value=2833","layer":4},{"info":"compute binary expreesion, left_input=6358, right_input=2833, 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=64363","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=64363, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=63929","layer":2},{"info":"number node, value=3588","layer":4},{"info":"compute unary expreesion, input=3588, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-3762","layer":3},{"info":"compute unary expreesion, input=-3762, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=63929, right_input=177, 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 = 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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1012200≹⇙⪍⪩⨒∯100133⨻⩈⩔⪩⨒∯100000⪔⊥⪩⨒∯200311)⨘⋶⪀)≓∲(⪩⨒∯123133⊱⇼⊻⪩⨒∯33221⨳⩥⨓(⪩⨒∯1203112≓∲⪩⨒∯230101))⋓((⊈⪩⨒∯320010)∸)=NaN","reverse_text":"NaN=((⪩⨒∯1012200≹⇙⪍⪩⨒∯100133⨻⩈⩔⪩⨒∯100000⪔⊥⪩⨒∯200311)⨘⋶⪀)≓∲(⪩⨒∯123133⊱⇼⊻⪩⨒∯33221⨳⩥⨓(⪩⨒∯1203112≓∲⪩⨒∯230101))⋓((⊈⪩⨒∯320010)∸)","cot":[{"info":"⪩⨒∯1012200≹⇙⪍⪩⨒∯100133=NaN","layer":3},{"info":"⪩⨒∯100000⪔⊥⪩⨒∯200311=⪩⨒∯-10301","layer":3},{"info":"NaN⨻⩈⩔⪩⨒∯-10301=NaN","layer":2},{"info":"NaN⨘⋶⪀=NaN","layer":1},{"info":"⪩⨒∯123133⊱⇼⊻⪩⨒∯33221=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯1203112≓∲⪩⨒∯230101=⪩⨒∯33231223","layer":3},{"info":"⪩⨒∯12302⨳⩥⨓⪩⨒∯33231223=⪩⨒∯33212321","layer":2},{"info":"⊈⪩⨒∯320010=⪩⨒∯-322302","layer":3},{"info":"⪩⨒∯-322302∸=⪩⨒∯2301","layer":2},{"info":"⪩⨒∯33212321⋓⪩⨒∯2301=⪩⨒∯0","layer":1},{"info":"NaN≓∲⪩⨒∯0=NaN","layer":0}]}
{"id":737,"expression_no_base_symbol":"≻⋜(($3169$⊢$4460$)≝⊿($7587$⨻⩈⩔$6648$)⋳⪒($1076$≚⊃≕$4952$⨸⪁$2870$⊋$1042$))","expression":"≻⋜((⪩⨒∯301201⊢⪩⨒∯1011230)≝⊿(⪩⨒∯1312203⨻⩈⩔⪩⨒∯1213320)⋳⪒(⪩⨒∯100310≚⊃≕⪩⨒∯1031120⨸⪁⪩⨒∯230312⊋⪩⨒∯100102))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":57778641,"operation_count":8,"complexity_ratio":7222330.125,"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":3169,"base":4},"right_expr":{"type":"numeric_atoms","value":4460,"base":4}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":7587,"base":4},"right_expr":{"type":"numeric_atoms","value":6648,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":1076,"base":4},"right_expr":{"type":"numeric_atoms","value":4952,"base":4}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2870,"base":4},"right_expr":{"type":"numeric_atoms","value":1042,"base":4}}}}},"used_operators":["3tj9sqzovi","12rbrZMWeM","OKKcZfAt5B","5twsqlHp2o","nEsXyWgiOK","g55IO6H4Gj","Bmrmz2XGnR","W4tP9CfskL"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","rysDP5nf3Z","t8gj7n24qd","12rbrZMWeM","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3169","layer":4},{"info":"number node, value=4460","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=4460, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-6582","layer":3},{"info":"number node, value=7587","layer":4},{"info":"number node, value=6648","layer":4},{"info":"compute binary expreesion, left_input=7587, right_input=6648, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=52295","layer":3},{"info":"compute binary expreesion, left_input=-6582, right_input=52295, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-98541","layer":2},{"info":"number node, value=1076","layer":4},{"info":"number node, value=4952","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=4952, 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=-16200","layer":3},{"info":"number node, value=2870","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=2870, right_input=1042, 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=14360964","layer":3},{"info":"compute binary expreesion, left_input=-16200, right_input=14360964, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=28689528","layer":2},{"info":"compute binary expreesion, left_input=-98541, right_input=28689528, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-28886897","layer":1},{"info":"compute unary expreesion, input=-28886897, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"≻⋜((⪩⨒∯301201⊢⪩⨒∯1011230)≝⊿(⪩⨒∯1312203⨻⩈⩔⪩⨒∯1213320)⋳⪒(⪩⨒∯100310≚⊃≕⪩⨒∯1031120⨸⪁⪩⨒∯230312⊋⪩⨒∯100102))=NaN","reverse_text":"NaN=≻⋜((⪩⨒∯301201⊢⪩⨒∯1011230)≝⊿(⪩⨒∯1312203⨻⩈⩔⪩⨒∯1213320)⋳⪒(⪩⨒∯100310≚⊃≕⪩⨒∯1031120⨸⪁⪩⨒∯230312⊋⪩⨒∯100102))","cot":[{"info":"⪩⨒∯301201⊢⪩⨒∯1011230=⪩⨒∯-1212312","layer":3},{"info":"⪩⨒∯1312203⨻⩈⩔⪩⨒∯1213320=⪩⨒∯30301013","layer":3},{"info":"⪩⨒∯-1212312≝⊿⪩⨒∯30301013=⪩⨒∯-120003231","layer":2},{"info":"⪩⨒∯100310≚⊃≕⪩⨒∯1031120=⪩⨒∯-3331020","layer":3},{"info":"⪩⨒∯230312⊋⪩⨒∯100102=⪩⨒∯312302012010","layer":3},{"info":"⪩⨒∯-3331020⨸⪁⪩⨒∯312302012010=⪩⨒∯1231130101320","layer":2},{"info":"⪩⨒∯-120003231⋳⪒⪩⨒∯1231130101320=⪩⨒∯-1232030131301","layer":1},{"info":"≻⋜⪩⨒∯-1232030131301=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"(($9674$≧⫂∧$2844$⪨≂$1693$⪥$1001$)⊭↱($3492$⇂≾⫗$1739$⊍⩺⋍$4171$⫣⪄⊒$2754$))⫰⋱(($5853$⋛$8156$)↹⊜($7516$∘$1098$))⋹⋡⊁($2579$→⨶⪴$1339$⇣⩺⋵($1009$∷$2237$))","expression":"((⪩⨒∯2113022≧⫂∧⪩⨒∯230130⪨≂⪩⨒∯122131⪥⪩⨒∯33221)⊭↱(⪩⨒∯312210⇂≾⫗⪩⨒∯123023⊍⩺⋍⪩⨒∯1001023⫣⪄⊒⪩⨒∯223002))⫰⋱((⪩⨒∯1123131⋛⪩⨒∯1333130)↹⊜(⪩⨒∯1311130∘⪩⨒∯101022))⋹⋡⊁(⪩⨒∯220103→⨶⪴⪩⨒∯110323⇣⩺⋵(⪩⨒∯33301∷⪩⨒∯202331))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":697,"operation_count":15,"complexity_ratio":46.46666666666667,"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":9674,"base":4},"right_expr":{"type":"numeric_atoms","value":2844,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1693,"base":4},"right_expr":{"type":"numeric_atoms","value":1001,"base":4}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3492,"base":4},"right_expr":{"type":"numeric_atoms","value":1739,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4171,"base":4},"right_expr":{"type":"numeric_atoms","value":2754,"base":4}}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":5853,"base":4},"right_expr":{"type":"numeric_atoms","value":8156,"base":4}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":7516,"base":4},"right_expr":{"type":"numeric_atoms","value":1098,"base":4}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2579,"base":4},"right_expr":{"type":"numeric_atoms","value":1339,"base":4}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":1009,"base":4},"right_expr":{"type":"numeric_atoms","value":2237,"base":4}}}}},"used_operators":["6o9Blt3TJ6","COABgblf1C","sdazOOVcIp","Ph9nP6C5qx","QbnwKVWMIQ","OXDGMFPWZM","aBQ6xLxuTc","RabNbG55vr","As8RqfVLgs","9bazX3JMtO","YbUVn0Rbpy","Z5m6OM72h2","F4yD0voBRQ","bF6eod5Gvf","D3AQDKkPcf"],"dependent_operators":["W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eH2TOUuTDT","rysDP5nf3Z","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","NTOWxs364D","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=9674","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=9674, right_input=2844, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2371","layer":3},{"info":"number node, value=1693","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=1001, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=11424","layer":3},{"info":"compute binary expreesion, left_input=2371, right_input=11424, 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=-18004","layer":2},{"info":"number node, value=3492","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=1739, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=4171","layer":4},{"info":"number node, value=2754","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=2754, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-8694","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-8694, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18004, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=5853","layer":4},{"info":"number node, value=8156","layer":4},{"info":"compute binary expreesion, left_input=5853, right_input=8156, 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=-79515","layer":3},{"info":"number node, value=7516","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=7516, right_input=1098, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=15032","layer":3},{"info":"compute binary expreesion, left_input=-79515, right_input=15032, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-120352","layer":2},{"info":"number node, value=2579","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=2579, right_input=1339, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-4017","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=2237, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=2237","layer":3},{"info":"compute binary expreesion, left_input=-4017, right_input=2237, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-20480","layer":2},{"info":"compute binary expreesion, left_input=-120352, right_input=-20480, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=1925370","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1925370, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯2113022≧⫂∧⪩⨒∯230130⪨≂⪩⨒∯122131⪥⪩⨒∯33221)⊭↱(⪩⨒∯312210⇂≾⫗⪩⨒∯123023⊍⩺⋍⪩⨒∯1001023⫣⪄⊒⪩⨒∯223002))⫰⋱((⪩⨒∯1123131⋛⪩⨒∯1333130)↹⊜(⪩⨒∯1311130∘⪩⨒∯101022))⋹⋡⊁(⪩⨒∯220103→⨶⪴⪩⨒∯110323⇣⩺⋵(⪩⨒∯33301∷⪩⨒∯202331))=NaN","reverse_text":"NaN=((⪩⨒∯2113022≧⫂∧⪩⨒∯230130⪨≂⪩⨒∯122131⪥⪩⨒∯33221)⊭↱(⪩⨒∯312210⇂≾⫗⪩⨒∯123023⊍⩺⋍⪩⨒∯1001023⫣⪄⊒⪩⨒∯223002))⫰⋱((⪩⨒∯1123131⋛⪩⨒∯1333130)↹⊜(⪩⨒∯1311130∘⪩⨒∯101022))⋹⋡⊁(⪩⨒∯220103→⨶⪴⪩⨒∯110323⇣⩺⋵(⪩⨒∯33301∷⪩⨒∯202331))","cot":[{"info":"⪩⨒∯2113022≧⫂∧⪩⨒∯230130=⪩⨒∯211003","layer":3},{"info":"⪩⨒∯122131⪥⪩⨒∯33221=⪩⨒∯2302200","layer":3},{"info":"⪩⨒∯211003⪨≂⪩⨒∯2302200=⪩⨒∯-10121110","layer":2},{"info":"⪩⨒∯312210⇂≾⫗⪩⨒∯123023=⪩⨒∯-22210","layer":3},{"info":"⪩⨒∯1001023⫣⪄⊒⪩⨒∯223002=⪩⨒∯-2013312","layer":3},{"info":"⪩⨒∯-22210⊍⩺⋍⪩⨒∯-2013312=NaN","layer":2},{"info":"⪩⨒∯-10121110⊭↱NaN=NaN","layer":1},{"info":"⪩⨒∯1123131⋛⪩⨒∯1333130=⪩⨒∯-103122123","layer":3},{"info":"⪩⨒∯1311130∘⪩⨒∯101022=⪩⨒∯3222320","layer":3},{"info":"⪩⨒∯-103122123↹⊜⪩⨒∯3222320=⪩⨒∯-131120200","layer":2},{"info":"⪩⨒∯220103→⨶⪴⪩⨒∯110323=⪩⨒∯-332301","layer":3},{"info":"⪩⨒∯33301∷⪩⨒∯202331=⪩⨒∯202331","layer":3},{"info":"⪩⨒∯-332301⇣⩺⋵⪩⨒∯202331=⪩⨒∯-11000000","layer":2},{"info":"⪩⨒∯-131120200⋹⋡⊁⪩⨒∯-11000000=⪩⨒∯13112003322","layer":1},{"info":"NaN⫰⋱⪩⨒∯13112003322=NaN","layer":0}]}
{"id":739,"expression_no_base_symbol":"(≀↧⇸($2768$↰))⨸($1736$≌$3665$≀⫉($1810$⪣⫩))⋘⨑⨽","expression":"(≀↧⇸(⪩⨒∯223100↰))⨸(⪩⨒∯123020≌⪩⨒∯321101≀⫉(⪩⨒∯130102⪣⫩))⋘⨑⨽","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9434,"operation_count":7,"complexity_ratio":1347.7142857142858,"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":2768,"base":4}}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1736,"base":4},"right_expr":{"type":"numeric_atoms","value":3665,"base":4}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"numeric_atoms","value":1810,"base":4}}}}},"used_operators":["WmT3o8z6ya","KmoU8R5UQR","ljTHtUsqzn","bl5wxAcryP","oZj3VtZNQx","lyWz822IDG","iuk5sVOGFA"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","N41Kp7NANJ","8w2t5hMYqp","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","XPYlsWDdGa","23Mk6UjR3U","nCS4ZIUYfx","Z2TMIBDE3Q","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI"],"result":"⪩⨒∯31031223","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2768","layer":4},{"info":"compute unary expreesion, input=2768, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=2667","layer":3},{"info":"compute unary expreesion, input=2667, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=5334","layer":2},{"info":"number node, value=1736","layer":4},{"info":"number node, value=3665","layer":4},{"info":"compute binary expreesion, left_input=1736, right_input=3665, 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=1810","layer":4},{"info":"compute unary expreesion, input=1810, op_id = iuk5sVOGFA, unary_op_definition = 'a⪣⫩ = { ((a⋥≓≎a)⋷(a+a)) , if a>=275 ; ((a∲⫓a)≧⫂∧(⪲⇎693)) , else }', output=5397","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5397, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5334, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=10668","layer":1},{"info":"compute unary expreesion, input=10668, op_id = WmT3o8z6ya, unary_op_definition = 'a⋘⨑⨽ = { ((a⫡⨏a)+(a≋⫹)) , if (⊄⩳↩a)!=44 ; (⋗⩬⋾(394+a)) , else }', output=54123","layer":0}],"base":4,"result_base":4,"text":"(≀↧⇸(⪩⨒∯223100↰))⨸(⪩⨒∯123020≌⪩⨒∯321101≀⫉(⪩⨒∯130102⪣⫩))⋘⨑⨽=⪩⨒∯31031223","reverse_text":"⪩⨒∯31031223=(≀↧⇸(⪩⨒∯223100↰))⨸(⪩⨒∯123020≌⪩⨒∯321101≀⫉(⪩⨒∯130102⪣⫩))⋘⨑⨽","cot":[{"info":"⪩⨒∯223100↰=⪩⨒∯221223","layer":3},{"info":"≀↧⇸⪩⨒∯221223=⪩⨒∯1103112","layer":2},{"info":"⪩⨒∯123020≌⪩⨒∯321101=NaN","layer":3},{"info":"⪩⨒∯130102⪣⫩=⪩⨒∯1110111","layer":3},{"info":"NaN≀⫉⪩⨒∯1110111=NaN","layer":2},{"info":"⪩⨒∯1103112⨸NaN=⪩⨒∯2212230","layer":1},{"info":"⪩⨒∯2212230⋘⨑⨽=⪩⨒∯31031223","layer":0}]}
{"id":740,"expression_no_base_symbol":"(⇺⋃(($1662$⇄$6116$)⪭($2579$↑)))∓⋝(≛(⨩∲⋌($1374$⇄$2221$)))","expression":"(⇺⋃((⪩⨒∯121332⇄⪩⨒∯1133210)⪭(⪩⨒∯220103↑)))∓⋝(≛(⨩∲⋌(⪩⨒∯111132⇄⪩⨒∯202231)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":77394,"operation_count":8,"complexity_ratio":9674.25,"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":1662,"base":4},"right_expr":{"type":"numeric_atoms","value":6116,"base":4}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":2579,"base":4}}}},"right_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1374,"base":4},"right_expr":{"type":"numeric_atoms","value":2221,"base":4}}}}},"used_operators":["PoHhknlbAi","E5v5B3UAjG","j9kHMeSvPp","3EYGwJThht","BThhyOhh10","W7eaUhjymW","aSik1wnThz"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","COABgblf1C","xUOZtlo3hN","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q"],"result":"⪩⨒∯1321","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1662","layer":4},{"info":"number node, value=6116","layer":4},{"info":"compute binary expreesion, left_input=1662, right_input=6116, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2579","layer":4},{"info":"compute unary expreesion, input=2579, 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 = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=0","layer":1},{"info":"number node, value=1374","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=2221, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=237","layer":2},{"info":"compute unary expreesion, input=237, 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=0, right_input=-10, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=121","layer":0}],"base":4,"result_base":4,"text":"(⇺⋃((⪩⨒∯121332⇄⪩⨒∯1133210)⪭(⪩⨒∯220103↑)))∓⋝(≛(⨩∲⋌(⪩⨒∯111132⇄⪩⨒∯202231)))=⪩⨒∯1321","reverse_text":"⪩⨒∯1321=(⇺⋃((⪩⨒∯121332⇄⪩⨒∯1133210)⪭(⪩⨒∯220103↑)))∓⋝(≛(⨩∲⋌(⪩⨒∯111132⇄⪩⨒∯202231)))","cot":[{"info":"⪩⨒∯121332⇄⪩⨒∯1133210=⪩⨒∯0","layer":3},{"info":"⪩⨒∯220103↑=⪩⨒∯3132","layer":3},{"info":"⪩⨒∯0⪭⪩⨒∯3132=⪩⨒∯-2232","layer":2},{"info":"⇺⋃⪩⨒∯-2232=⪩⨒∯0","layer":1},{"info":"⪩⨒∯111132⇄⪩⨒∯202231=⪩⨒∯0","layer":3},{"info":"⨩∲⋌⪩⨒∯0=⪩⨒∯3231","layer":2},{"info":"≛⪩⨒∯3231=⪩⨒∯-22","layer":1},{"info":"⪩⨒∯0∓⋝⪩⨒∯-22=⪩⨒∯1321","layer":0}]}
{"id":741,"expression_no_base_symbol":"(($2027$⩘⨬⇊)⨽(↴⪽⋼$3281$)⨑≵⋬$3585$∌$2484$⩧⪆($1098$⪨≂$8949$))⨿(≔(($2277$⋫)↺$1041$⪛$1957$))","expression":"((⪩⨒∯133223⩘⨬⇊)⨽(↴⪽⋼⪩⨒∯303101)⨑≵⋬⪩⨒∯320001∌⪩⨒∯212310⩧⪆(⪩⨒∯101022⪨≂⪩⨒∯2023311))⨿(≔((⪩⨒∯203211⋫)↺⪩⨒∯100101⪛⪩⨒∯132211))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5493,"operation_count":12,"complexity_ratio":457.75,"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":2027,"base":4}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":3281,"base":4}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3585,"base":4},"right_expr":{"type":"numeric_atoms","value":2484,"base":4}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1098,"base":4},"right_expr":{"type":"numeric_atoms","value":8949,"base":4}}}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2277,"base":4}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1041,"base":4},"right_expr":{"type":"numeric_atoms","value":1957,"base":4}}}}},"used_operators":["abYXlopdE0","XnXgA4xnOs","8HhzD0ZcuI","XXmTpEpWTW","5TUYCnJO6w","Ikt5ks8PT7","8cLx32lpNA","sdazOOVcIp","8FLs4eVsLt","7j4O788W3g","JL8yIekQnl","uFcxV4UQCh"],"dependent_operators":["gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","eewbuw0ToL","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2027","layer":4},{"info":"compute unary expreesion, input=2027, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":3},{"info":"number node, value=3281","layer":4},{"info":"compute unary expreesion, input=3281, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=3281","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3281, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=3585","layer":4},{"info":"number node, value=2484","layer":4},{"info":"compute binary expreesion, left_input=3585, right_input=2484, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-2484","layer":3},{"info":"number node, value=1098","layer":4},{"info":"number node, value=8949","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=8949, 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=-15600","layer":3},{"info":"compute binary expreesion, left_input=-2484, right_input=-15600, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=15600","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15600, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=2277","layer":4},{"info":"compute unary expreesion, input=2277, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2277","layer":3},{"info":"number node, value=1041","layer":4},{"info":"number node, value=1957","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1957, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1041","layer":3},{"info":"compute binary expreesion, left_input=2277, 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":2},{"info":"compute unary expreesion, input=1041, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-27854","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-27854, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯133223⩘⨬⇊)⨽(↴⪽⋼⪩⨒∯303101)⨑≵⋬⪩⨒∯320001∌⪩⨒∯212310⩧⪆(⪩⨒∯101022⪨≂⪩⨒∯2023311))⨿(≔((⪩⨒∯203211⋫)↺⪩⨒∯100101⪛⪩⨒∯132211))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((⪩⨒∯133223⩘⨬⇊)⨽(↴⪽⋼⪩⨒∯303101)⨑≵⋬⪩⨒∯320001∌⪩⨒∯212310⩧⪆(⪩⨒∯101022⪨≂⪩⨒∯2023311))⨿(≔((⪩⨒∯203211⋫)↺⪩⨒∯100101⪛⪩⨒∯132211))","cot":[{"info":"⪩⨒∯133223⩘⨬⇊=NaN","layer":3},{"info":"↴⪽⋼⪩⨒∯303101=⪩⨒∯303101","layer":3},{"info":"NaN⨽⪩⨒∯303101=NaN","layer":2},{"info":"⪩⨒∯320001∌⪩⨒∯212310=⪩⨒∯-212310","layer":3},{"info":"⪩⨒∯101022⪨≂⪩⨒∯2023311=⪩⨒∯-3303300","layer":3},{"info":"⪩⨒∯-212310⩧⪆⪩⨒∯-3303300=⪩⨒∯3303300","layer":2},{"info":"NaN⨑≵⋬⪩⨒∯3303300=NaN","layer":1},{"info":"⪩⨒∯203211⋫=⪩⨒∯203211","layer":3},{"info":"⪩⨒∯100101⪛⪩⨒∯132211=⪩⨒∯100101","layer":3},{"info":"⪩⨒∯203211↺⪩⨒∯100101=⪩⨒∯100101","layer":2},{"info":"≔⪩⨒∯100101=⪩⨒∯-12303032","layer":1},{"info":"NaN⨿⪩⨒∯-12303032=⪩⨒∯1003","layer":0}]}
{"id":742,"expression_no_base_symbol":"≤/(($1607$⇄$2599$)⫯⪬∳($1186$∼$4090$)⇋≉)","expression":"≤/((⪩⨒∯121013⇄⪩⨒∯220213)⫯⪬∳(⪩⨒∯102202∼⪩⨒∯333322)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":43,"operation_count":5,"complexity_ratio":8.6,"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":1607,"base":4},"right_expr":{"type":"numeric_atoms","value":2599,"base":4}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1186,"base":4},"right_expr":{"type":"numeric_atoms","value":4090,"base":4}}}}},"used_operators":["eLAdDNolq6","XIabStNQrY","d7ASUq0ydm","3EYGwJThht","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪩⨒∯113320","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1607","layer":4},{"info":"number node, value=2599","layer":4},{"info":"compute binary expreesion, left_input=1607, right_input=2599, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=1186","layer":4},{"info":"number node, value=4090","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=4090, 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 = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=-473","layer":2},{"info":"compute unary expreesion, input=-473, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-1044","layer":1},{"info":"compute unary expreesion, input=-1044, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=1528","layer":0}],"base":4,"result_base":4,"text":"≤/((⪩⨒∯121013⇄⪩⨒∯220213)⫯⪬∳(⪩⨒∯102202∼⪩⨒∯333322)⇋≉)=⪩⨒∯113320","reverse_text":"⪩⨒∯113320=≤/((⪩⨒∯121013⇄⪩⨒∯220213)⫯⪬∳(⪩⨒∯102202∼⪩⨒∯333322)⇋≉)","cot":[{"info":"⪩⨒∯121013⇄⪩⨒∯220213=⪩⨒∯0","layer":3},{"info":"⪩⨒∯102202∼⪩⨒∯333322=NaN","layer":3},{"info":"⪩⨒∯0⫯⪬∳NaN=⪩⨒∯-13121","layer":2},{"info":"⪩⨒∯-13121⇋≉=⪩⨒∯-100110","layer":1},{"info":"≤/⪩⨒∯-100110=⪩⨒∯113320","layer":0}]}
{"id":743,"expression_no_base_symbol":"(($1031$⫥∨⫟$2919$)⇞)≎⪠((⨙⪌$1204$)⊉↱≁($1026$⫃⨇$2393$))↹⊜(($6380$⨭⪣$1859$)↓$2016$⋹⋡⊁$1659$⇞)","expression":"((⪩⨒∯100013⫥∨⫟⪩⨒∯231213)⇞)≎⪠((⨙⪌⪩⨒∯102310)⊉↱≁(⪩⨒∯100002⫃⨇⪩⨒∯211121))↹⊜((⪩⨒∯1203230⨭⪣⪩⨒∯131003)↓⪩⨒∯133200⋹⋡⊁⪩⨒∯121323⇞)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":116846,"operation_count":11,"complexity_ratio":10622.363636363636,"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":1031,"base":4},"right_expr":{"type":"numeric_atoms","value":2919,"base":4}}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"unary","operator":"⨙⪌","unary_expr":{"type":"numeric_atoms","value":1204,"base":4}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1026,"base":4},"right_expr":{"type":"numeric_atoms","value":2393,"base":4}}}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"binary","operator":"↓","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":6380,"base":4},"right_expr":{"type":"numeric_atoms","value":1859,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":2016,"base":4},"right_expr":{"type":"numeric_atoms","value":1659,"base":4}}}}},"used_operators":["9bazX3JMtO","aNhz54LH3e","5JYyxRJd4f","KYD54nUTWz","w2P8NbNXyL","vEGLkm4Z2k","09Ly4LVMIf","Af076pWI7l","kn8WO9XteQ","As8RqfVLgs"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux"],"result":"⪩⨒∯22003100","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1031","layer":4},{"info":"number node, value=2919","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2919, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=nan","layer":2},{"info":"number node, value=1204","layer":4},{"info":"compute unary expreesion, input=1204, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=2393","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2393, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-9604","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-9604, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=66252","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=66252, 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=6380","layer":4},{"info":"number node, value=1859","layer":4},{"info":"compute binary expreesion, left_input=6380, right_input=1859, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=5101","layer":3},{"info":"number node, value=2016","layer":4},{"info":"number node, value=1659","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=1659, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2409","layer":3},{"info":"compute binary expreesion, left_input=5101, right_input=2409, 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 = 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 binary expreesion, left_input=19558, right_input=-537, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=41168","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯100013⫥∨⫟⪩⨒∯231213)⇞)≎⪠((⨙⪌⪩⨒∯102310)⊉↱≁(⪩⨒∯100002⫃⨇⪩⨒∯211121))↹⊜((⪩⨒∯1203230⨭⪣⪩⨒∯131003)↓⪩⨒∯133200⋹⋡⊁⪩⨒∯121323⇞)=⪩⨒∯22003100","reverse_text":"⪩⨒∯22003100=((⪩⨒∯100013⫥∨⫟⪩⨒∯231213)⇞)≎⪠((⨙⪌⪩⨒∯102310)⊉↱≁(⪩⨒∯100002⫃⨇⪩⨒∯211121))↹⊜((⪩⨒∯1203230⨭⪣⪩⨒∯131003)↓⪩⨒∯133200⋹⋡⊁⪩⨒∯121323⇞)","cot":[{"info":"⪩⨒∯100013⫥∨⫟⪩⨒∯231213=NaN","layer":3},{"info":"NaN⇞=NaN","layer":2},{"info":"⨙⪌⪩⨒∯102310=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯100002⫃⨇⪩⨒∯211121=⪩⨒∯-2112010","layer":3},{"info":"⪩⨒∯31210⊉↱≁⪩⨒∯-2112010=⪩⨒∯100023030","layer":2},{"info":"NaN≎⪠⪩⨒∯100023030=⪩⨒∯10301212","layer":1},{"info":"⪩⨒∯1203230⨭⪣⪩⨒∯131003=⪩⨒∯1033231","layer":3},{"info":"⪩⨒∯133200⋹⋡⊁⪩⨒∯121323=⪩⨒∯211221","layer":3},{"info":"⪩⨒∯1033231↓⪩⨒∯211221=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯-2012⇞=⪩⨒∯-20121","layer":1},{"info":"⪩⨒∯10301212↹⊜⪩⨒∯-20121=⪩⨒∯22003100","layer":0}]}
{"id":744,"expression_no_base_symbol":"(⋃($5539$⊲⩕⊾$1868$))⫣⪄⊒((⩦⩻⨪$1857$)⋥⋵⩄$1159$⇻⋧≁$1640$)∓⋝($3300$⋣⋖$7711$⋷$3685$%$2130$)∥⊢⊲($5120$⊹∫⫚$2503$⩚⊴⇥($4014$⨒$3119$))","expression":"(⋃(⪩⨒∯1112203⊲⩕⊾⪩⨒∯131030))⫣⪄⊒((⩦⩻⨪⪩⨒∯131001)⋥⋵⩄⪩⨒∯102013⇻⋧≁⪩⨒∯121220)∓⋝(⪩⨒∯303210⋣⋖⪩⨒∯1320133⋷⪩⨒∯321211%⪩⨒∯201102)∥⊢⊲(⪩⨒∯1100000⊹∫⫚⪩⨒∯213013⩚⊴⇥(⪩⨒∯332232⨒⪩⨒∯300233))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1404,"operation_count":14,"complexity_ratio":100.28571428571429,"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":5539,"base":4},"right_expr":{"type":"numeric_atoms","value":1868,"base":4}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1857,"base":4}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1159,"base":4},"right_expr":{"type":"numeric_atoms","value":1640,"base":4}}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3300,"base":4},"right_expr":{"type":"numeric_atoms","value":7711,"base":4}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3685,"base":4},"right_expr":{"type":"numeric_atoms","value":2130,"base":4}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":5120,"base":4},"right_expr":{"type":"numeric_atoms","value":2503,"base":4}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4014,"base":4},"right_expr":{"type":"numeric_atoms","value":3119,"base":4}}}}},"used_operators":["PoHhknlbAi","RabNbG55vr","3mBM5G4a3l","DmTXOeWf9t","7t3wd0Fuz7","2td37pGCOC","jCPkEVoL5K","v1UQAVDJRr","23Mk6UjR3U","J0M6qkBnIM","k8jYdgA6NY","NTOWxs364D","uWAJUKEvyW","y75s1iXyHd"],"dependent_operators":["DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","g55IO6H4Gj","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","EBcxylXtPf","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","srAu1WTS94","oacrs7FA3X","7qqUquhhSb"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5539","layer":4},{"info":"number node, value=1868","layer":4},{"info":"compute binary expreesion, left_input=5539, right_input=1868, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-103934","layer":3},{"info":"compute unary expreesion, input=-103934, op_id = 3mBM5G4a3l, unary_op_definition = '⋃a = { (51⨸⪁a) }', output=-207766","layer":2},{"info":"number node, value=1857","layer":4},{"info":"compute unary expreesion, input=1857, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1857","layer":3},{"info":"number node, value=1159","layer":4},{"info":"number node, value=1640","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=1640, 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=1857, right_input=-447, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=-788","layer":2},{"info":"compute binary expreesion, left_input=-207766, right_input=-788, 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=3300","layer":4},{"info":"number node, value=7711","layer":4},{"info":"compute binary expreesion, left_input=3300, right_input=7711, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3300","layer":3},{"info":"number node, value=3685","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=3685, right_input=2130, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1555","layer":3},{"info":"compute binary expreesion, left_input=3300, right_input=1555, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-190","layer":2},{"info":"number node, value=5120","layer":4},{"info":"number node, value=2503","layer":4},{"info":"compute binary expreesion, left_input=5120, right_input=2503, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-284","layer":3},{"info":"number node, value=4014","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=4014, right_input=3119, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-23712","layer":3},{"info":"compute binary expreesion, left_input=-284, right_input=-23712, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=23875","layer":2},{"info":"compute binary expreesion, left_input=-190, right_input=23875, 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=160, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":0}],"base":4,"result_base":4,"text":"(⋃(⪩⨒∯1112203⊲⩕⊾⪩⨒∯131030))⫣⪄⊒((⩦⩻⨪⪩⨒∯131001)⋥⋵⩄⪩⨒∯102013⇻⋧≁⪩⨒∯121220)∓⋝(⪩⨒∯303210⋣⋖⪩⨒∯1320133⋷⪩⨒∯321211%⪩⨒∯201102)∥⊢⊲(⪩⨒∯1100000⊹∫⫚⪩⨒∯213013⩚⊴⇥(⪩⨒∯332232⨒⪩⨒∯300233))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=(⋃(⪩⨒∯1112203⊲⩕⊾⪩⨒∯131030))⫣⪄⊒((⩦⩻⨪⪩⨒∯131001)⋥⋵⩄⪩⨒∯102013⇻⋧≁⪩⨒∯121220)∓⋝(⪩⨒∯303210⋣⋖⪩⨒∯1320133⋷⪩⨒∯321211%⪩⨒∯201102)∥⊢⊲(⪩⨒∯1100000⊹∫⫚⪩⨒∯213013⩚⊴⇥(⪩⨒∯332232⨒⪩⨒∯300233))","cot":[{"info":"⪩⨒∯1112203⊲⩕⊾⪩⨒∯131030=⪩⨒∯-121113332","layer":3},{"info":"⋃⪩⨒∯-121113332=⪩⨒∯-302232112","layer":2},{"info":"⩦⩻⨪⪩⨒∯131001=⪩⨒∯131001","layer":3},{"info":"⪩⨒∯102013⇻⋧≁⪩⨒∯121220=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯131001⋥⋵⩄⪩⨒∯-12333=⪩⨒∯-30110","layer":2},{"info":"⪩⨒∯-302232112⫣⪄⊒⪩⨒∯-30110=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯303210⋣⋖⪩⨒∯1320133=⪩⨒∯303210","layer":3},{"info":"⪩⨒∯321211%⪩⨒∯201102=⪩⨒∯120103","layer":3},{"info":"⪩⨒∯303210⋷⪩⨒∯120103=⪩⨒∯-2332","layer":2},{"info":"⪩⨒∯1100000⊹∫⫚⪩⨒∯213013=⪩⨒∯-10130","layer":3},{"info":"⪩⨒∯332232⨒⪩⨒∯300233=⪩⨒∯-11302200","layer":3},{"info":"⪩⨒∯-10130⩚⊴⇥⪩⨒∯-11302200=⪩⨒∯11311003","layer":2},{"info":"⪩⨒∯-2332∥⊢⊲⪩⨒∯11311003=NaN","layer":1},{"info":"⪩⨒∯2200∓⋝NaN=⪩⨒∯1003","layer":0}]}
{"id":745,"expression_no_base_symbol":"(($1039$⇡)⫒⫫$3529$≹⇙⪍$1765$≳⇉($5248$⊝)≚⊃≕$2372$⫯⪬∳$3993$)⨥⫆(∥⊫(∐⩳⋚$4152$∳⫺$3672$))","expression":"((⪩⨒∯100033⇡)⫒⫫⪩⨒∯313021≹⇙⪍⪩⨒∯123211≳⇉(⪩⨒∯1102000⊝)≚⊃≕⪩⨒∯211010⫯⪬∳⪩⨒∯332121)⨥⫆(∥⊫(∐⩳⋚⪩⨒∯1000320∳⫺⪩⨒∯321120))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":602,"operation_count":11,"complexity_ratio":54.72727272727273,"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":1039,"base":4}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3529,"base":4},"right_expr":{"type":"numeric_atoms","value":1765,"base":4}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⊝","unary_expr":{"type":"numeric_atoms","value":5248,"base":4}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":2372,"base":4},"right_expr":{"type":"numeric_atoms","value":3993,"base":4}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4152,"base":4},"right_expr":{"type":"numeric_atoms","value":3672,"base":4}}}}},"used_operators":["yXekIHxTD4","V0kx6qeWkN","6Ko8hGgeMq","UqFzSgLMvQ","AHs5Up7iyr","Bmrmz2XGnR","O6EZ0fifGK","d7ASUq0ydm","P8v4zCKN1o","SL6IHkK8vl","AzXXKTstlj"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","dWAJyo7jo9","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","W4YGzv6Whe","t8gj7n24qd","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"compute unary expreesion, input=1039, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"number node, value=3529","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=3529, right_input=1765, 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=-2917, 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=5248","layer":4},{"info":"compute unary expreesion, input=5248, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=5248","layer":3},{"info":"number node, value=2372","layer":4},{"info":"number node, value=3993","layer":4},{"info":"compute binary expreesion, left_input=2372, right_input=3993, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=7900","layer":3},{"info":"compute binary expreesion, left_input=5248, right_input=7900, 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 = 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=4152","layer":4},{"info":"number node, value=3672","layer":4},{"info":"compute binary expreesion, left_input=4152, right_input=3672, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-106214","layer":2},{"info":"compute unary expreesion, input=-106214, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯100033⇡)⫒⫫⪩⨒∯313021≹⇙⪍⪩⨒∯123211≳⇉(⪩⨒∯1102000⊝)≚⊃≕⪩⨒∯211010⫯⪬∳⪩⨒∯332121)⨥⫆(∥⊫(∐⩳⋚⪩⨒∯1000320∳⫺⪩⨒∯321120))=NaN","reverse_text":"NaN=((⪩⨒∯100033⇡)⫒⫫⪩⨒∯313021≹⇙⪍⪩⨒∯123211≳⇉(⪩⨒∯1102000⊝)≚⊃≕⪩⨒∯211010⫯⪬∳⪩⨒∯332121)⨥⫆(∥⊫(∐⩳⋚⪩⨒∯1000320∳⫺⪩⨒∯321120))","cot":[{"info":"⪩⨒∯100033⇡=⪩⨒∯-231211","layer":3},{"info":"⪩⨒∯313021≹⇙⪍⪩⨒∯123211=NaN","layer":3},{"info":"⪩⨒∯-231211⫒⫫NaN=NaN","layer":2},{"info":"⪩⨒∯1102000⊝=⪩⨒∯1102000","layer":3},{"info":"⪩⨒∯211010⫯⪬∳⪩⨒∯332121=⪩⨒∯1323130","layer":3},{"info":"⪩⨒∯1102000≚⊃≕⪩⨒∯1323130=⪩⨒∯1003","layer":2},{"info":"NaN≳⇉⪩⨒∯1003=NaN","layer":1},{"info":"⪩⨒∯1000320∳⫺⪩⨒∯321120=⪩⨒∯-10010","layer":3},{"info":"∐⩳⋚⪩⨒∯-10010=⪩⨒∯-121323212","layer":2},{"info":"∥⊫⪩⨒∯-121323212=⪩⨒∯-313","layer":1},{"info":"NaN⨥⫆⪩⨒∯-313=NaN","layer":0}]}
{"id":746,"expression_no_base_symbol":"($1498$⪡$3419$⩹$1474$∖$2446$)⩼⇪↪((↩⪖$4009$)⪕($1674$∝$5370$))∀⇚≩(∐⩳⋚($4069$∼$5698$⫚↹⊑$1113$≬⇓$1061$))","expression":"(⪩⨒∯113122⪡⪩⨒∯311123⩹⪩⨒∯113002∖⪩⨒∯212032)⩼⇪↪((↩⪖⪩⨒∯332221)⪕(⪩⨒∯122022∝⪩⨒∯1103322))∀⇚≩(∐⩳⋚(⪩⨒∯333211∼⪩⨒∯1121002⫚↹⊑⪩⨒∯101121≬⇓⪩⨒∯100211))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3548,"operation_count":12,"complexity_ratio":295.6666666666667,"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":1498,"base":4},"right_expr":{"type":"numeric_atoms","value":3419,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":1474,"base":4},"right_expr":{"type":"numeric_atoms","value":2446,"base":4}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":4009,"base":4}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1674,"base":4},"right_expr":{"type":"numeric_atoms","value":5370,"base":4}}}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4069,"base":4},"right_expr":{"type":"numeric_atoms","value":5698,"base":4}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1113,"base":4},"right_expr":{"type":"numeric_atoms","value":1061,"base":4}}}}},"used_operators":["LRNGc0VcxI","ocnLzx9CaJ","2Wsdkap16l","oraRL2iQuh","tXD093vOjl","umQnsF7QlU","fG6uBQFnGz","cTDWOvIxvz","SL6IHkK8vl","dfKe02y8D2","DyGG3AbaNP","jWTQ2TZYIH"],"dependent_operators":["X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1498","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=3419, 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=2446","layer":4},{"info":"compute binary expreesion, left_input=1474, right_input=2446, 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=107, 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":"number node, value=4009","layer":4},{"info":"compute unary expreesion, input=4009, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-27036","layer":3},{"info":"number node, value=1674","layer":4},{"info":"number node, value=5370","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=5370, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1679","layer":3},{"info":"compute binary expreesion, left_input=-27036, right_input=1679, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=-55, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-402","layer":1},{"info":"number node, value=4069","layer":4},{"info":"number node, value=5698","layer":4},{"info":"compute binary expreesion, left_input=4069, right_input=5698, 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=1113","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1061, 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 = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute unary expreesion, input=-447, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-162688","layer":1},{"info":"compute binary expreesion, left_input=-402, right_input=-162688, 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":4,"result_base":4,"text":"(⪩⨒∯113122⪡⪩⨒∯311123⩹⪩⨒∯113002∖⪩⨒∯212032)⩼⇪↪((↩⪖⪩⨒∯332221)⪕(⪩⨒∯122022∝⪩⨒∯1103322))∀⇚≩(∐⩳⋚(⪩⨒∯333211∼⪩⨒∯1121002⫚↹⊑⪩⨒∯101121≬⇓⪩⨒∯100211))=NaN","reverse_text":"NaN=(⪩⨒∯113122⪡⪩⨒∯311123⩹⪩⨒∯113002∖⪩⨒∯212032)⩼⇪↪((↩⪖⪩⨒∯332221)⪕(⪩⨒∯122022∝⪩⨒∯1103322))∀⇚≩(∐⩳⋚(⪩⨒∯333211∼⪩⨒∯1121002⫚↹⊑⪩⨒∯101121≬⇓⪩⨒∯100211))","cot":[{"info":"⪩⨒∯113122⪡⪩⨒∯311123=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯113002∖⪩⨒∯212032=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1223⩹⪩⨒∯0=⪩⨒∯-2","layer":2},{"info":"↩⪖⪩⨒∯332221=⪩⨒∯-12212130","layer":3},{"info":"⪩⨒∯122022∝⪩⨒∯1103322=⪩⨒∯122033","layer":3},{"info":"⪩⨒∯-12212130⪕⪩⨒∯122033=⪩⨒∯-313","layer":2},{"info":"⪩⨒∯-2⩼⇪↪⪩⨒∯-313=⪩⨒∯-12102","layer":1},{"info":"⪩⨒∯333211∼⪩⨒∯1121002=NaN","layer":3},{"info":"⪩⨒∯101121≬⇓⪩⨒∯100211=⪩⨒∯-112","layer":3},{"info":"NaN⫚↹⊑⪩⨒∯-112=⪩⨒∯-12333","layer":2},{"info":"∐⩳⋚⪩⨒∯-12333=⪩⨒∯-213232000","layer":1},{"info":"⪩⨒∯-12102∀⇚≩⪩⨒∯-213232000=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"≅≯⇸(⫯$6228$⇂≾⫗$3937$)*($2397$⊾⪯⋞$5930$∖$8261$∺≝⩲$5567$)","expression":"≅≯⇸(⫯⪩⨒∯1201110⇂≾⫗⪩⨒∯331201)*(⪩⨒∯211131⊾⪯⋞⪩⨒∯1130222∖⪩⨒∯2001011∺≝⩲⪩⨒∯1112333)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":361,"operation_count":7,"complexity_ratio":51.57142857142857,"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":6228,"base":4},"right_expr":{"type":"numeric_atoms","value":3937,"base":4}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":2397,"base":4},"right_expr":{"type":"numeric_atoms","value":5930,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":8261,"base":4},"right_expr":{"type":"numeric_atoms","value":5567,"base":4}}}}},"used_operators":["apS25hmuAe","9HNa5Wba9A","H6BK1Evt7c","aBQ6xLxuTc","tXD093vOjl","HK0tfVPux8","KPf6cnQVty"],"dependent_operators":["EBcxylXtPf","QMFrweE19q","W4YGzv6Whe","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl"],"result":"⪩⨒∯1313331","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6228","layer":4},{"info":"number node, value=3937","layer":4},{"info":"compute binary expreesion, left_input=6228, right_input=3937, 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 = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=31528","layer":2},{"info":"number node, value=2397","layer":4},{"info":"number node, value=5930","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=5930, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=11434","layer":3},{"info":"number node, value=8261","layer":4},{"info":"number node, value=5567","layer":4},{"info":"compute binary expreesion, left_input=8261, right_input=5567, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=11434, right_input=160, 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=31528, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=7677","layer":0}],"base":4,"result_base":4,"text":"≅≯⇸(⫯⪩⨒∯1201110⇂≾⫗⪩⨒∯331201)*(⪩⨒∯211131⊾⪯⋞⪩⨒∯1130222∖⪩⨒∯2001011∺≝⩲⪩⨒∯1112333)=⪩⨒∯1313331","reverse_text":"⪩⨒∯1313331=≅≯⇸(⫯⪩⨒∯1201110⇂≾⫗⪩⨒∯331201)*(⪩⨒∯211131⊾⪯⋞⪩⨒∯1130222∖⪩⨒∯2001011∺≝⩲⪩⨒∯1112333)","cot":[{"info":"⪩⨒∯1201110⇂≾⫗⪩⨒∯331201=⪩⨒∯-22210","layer":3},{"info":"⫯⪩⨒∯-22210=⪩⨒∯13230220","layer":2},{"info":"⪩⨒∯211131⊾⪯⋞⪩⨒∯1130222=⪩⨒∯2302222","layer":3},{"info":"⪩⨒∯2001011∺≝⩲⪩⨒∯1112333=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2302222∖⪩⨒∯2200=⪩⨒∯0","layer":2},{"info":"⪩⨒∯13230220*⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"≅≯⇸⪩⨒∯0=⪩⨒∯1313331","layer":0}]}
{"id":748,"expression_no_base_symbol":"((⨈⫕(∜⨇$4011$))+($2223$⨀⨒)≹⇙⪍($3216$⊿∆))⪨⊡((⊆⋠($2995$⋩≍≻))⋭≵$3856$⋾⨃∁$7693$∝($1024$⪉⨛$3142$))","expression":"((⨈⫕(∜⨇⪩⨒∯332223))+(⪩⨒∯202233⨀⨒)≹⇙⪍(⪩⨒∯302100⊿∆))⪨⊡((⊆⋠(⪩⨒∯232303⋩≍≻))⋭≵⪩⨒∯330100⋾⨃∁⪩⨒∯1320031∝(⪩⨒∯100000⪉⨛⪩⨒∯301012))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":8326,"operation_count":13,"complexity_ratio":640.4615384615385,"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":4011,"base":4}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨀⨒","unary_expr":{"type":"numeric_atoms","value":2223,"base":4}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"numeric_atoms","value":3216,"base":4}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2995,"base":4}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":3856,"base":4},"right_expr":{"type":"numeric_atoms","value":7693,"base":4}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":1024,"base":4},"right_expr":{"type":"numeric_atoms","value":3142,"base":4}}}}},"used_operators":["kuIXHzHcAH","W4YGzv6Whe","megm06wKyl","uFPyJr306J","AHs5Up7iyr","j6NVkjMzuk","fv3ZujxkQL","jBncVCNhdl","EBhcHTkKd8","WYd1w68Nbz","cTDWOvIxvz","212REbPD9h","EWw2JM7wp4"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","dWAJyo7jo9","E4l6HwMY31","Ikt5ks8PT7","HmxsFra2vL","oacrs7FA3X","NTOWxs364D","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4011","layer":4},{"info":"compute unary expreesion, input=4011, 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 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":2},{"info":"number node, value=2223","layer":4},{"info":"compute unary expreesion, input=2223, op_id = j6NVkjMzuk, unary_op_definition = 'a⨀⨒ = { ((a⪘⫢a)⊔(a⪘⫢a)) , if a!=184 ; ((a⩧⪆a)∙∹∝a) , else }', output=27854","layer":3},{"info":"number node, value=3216","layer":4},{"info":"compute unary expreesion, input=3216, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-6553","layer":3},{"info":"compute binary expreesion, left_input=27854, right_input=-6553, 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=-21, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2995","layer":4},{"info":"compute unary expreesion, input=2995, 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 = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":2},{"info":"number node, value=3856","layer":4},{"info":"number node, value=7693","layer":4},{"info":"compute binary expreesion, left_input=3856, right_input=7693, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=591730080","layer":3},{"info":"number node, value=1024","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=1024, right_input=3142, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=145","layer":3},{"info":"compute binary expreesion, left_input=591730080, right_input=145, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=591730085","layer":2},{"info":"compute binary expreesion, left_input=348, right_input=591730085, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=1053","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1053, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⨈⫕(∜⨇⪩⨒∯332223))+(⪩⨒∯202233⨀⨒)≹⇙⪍(⪩⨒∯302100⊿∆))⪨⊡((⊆⋠(⪩⨒∯232303⋩≍≻))⋭≵⪩⨒∯330100⋾⨃∁⪩⨒∯1320031∝(⪩⨒∯100000⪉⨛⪩⨒∯301012))=NaN","reverse_text":"NaN=((⨈⫕(∜⨇⪩⨒∯332223))+(⪩⨒∯202233⨀⨒)≹⇙⪍(⪩⨒∯302100⊿∆))⪨⊡((⊆⋠(⪩⨒∯232303⋩≍≻))⋭≵⪩⨒∯330100⋾⨃∁⪩⨒∯1320031∝(⪩⨒∯100000⪉⨛⪩⨒∯301012))","cot":[{"info":"∜⨇⪩⨒∯332223=NaN","layer":3},{"info":"⨈⫕NaN=⪩⨒∯-111","layer":2},{"info":"⪩⨒∯202233⨀⨒=⪩⨒∯12303032","layer":3},{"info":"⪩⨒∯302100⊿∆=⪩⨒∯-1212121","layer":3},{"info":"⪩⨒∯12303032≹⇙⪍⪩⨒∯-1212121=NaN","layer":2},{"info":"⪩⨒∯-111+NaN=NaN","layer":1},{"info":"⪩⨒∯232303⋩≍≻=⪩⨒∯-313","layer":3},{"info":"⊆⋠⪩⨒∯-313=⪩⨒∯11130","layer":2},{"info":"⪩⨒∯330100⋾⨃∁⪩⨒∯1320031=⪩⨒∯203101101112200","layer":3},{"info":"⪩⨒∯100000⪉⨛⪩⨒∯301012=⪩⨒∯2101","layer":3},{"info":"⪩⨒∯203101101112200∝⪩⨒∯2101=⪩⨒∯203101101112211","layer":2},{"info":"⪩⨒∯11130⋭≵⪩⨒∯203101101112211=⪩⨒∯100131","layer":1},{"info":"NaN⪨⊡⪩⨒∯100131=NaN","layer":0}]}
{"id":749,"expression_no_base_symbol":"(⇈(⨴⫝$1268$≁$1222$))⨽((⋗⩬⋾$6730$)⩎⪣⊞)⪚($2023$⇴∐$4208$⋓(⊢≑≆$1086$))","expression":"(⇈(⨴⫝⪩⨒∯103310≁⪩⨒∯103012))⨽((⋗⩬⋾⪩⨒∯1221022)⩎⪣⊞)⪚(⪩⨒∯133213⇴∐⪩⨒∯1001300⋓(⊢≑≆⪩⨒∯100332))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":286101,"operation_count":10,"complexity_ratio":28610.1,"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":1268,"base":4},"right_expr":{"type":"numeric_atoms","value":1222,"base":4}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6730,"base":4}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2023,"base":4},"right_expr":{"type":"numeric_atoms","value":4208,"base":4}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":1086,"base":4}}}}},"used_operators":["8HhzD0ZcuI","SLLxy00UIr","SVb2v531z1","8N2wDY1A35","HrjLwUk87U","waWucp1uQ4","DpFCA1CohY","T2fj7uvVaJ","HnzytWxmAO","27wFxooxGf"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","mp7IySMOzn","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1222, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=16127","layer":3},{"info":"compute unary expreesion, input=16127, 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":"compute unary expreesion, input=2828198, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":1},{"info":"number node, value=6730","layer":4},{"info":"compute unary expreesion, input=6730, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-20190","layer":3},{"info":"compute unary expreesion, input=-20190, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"number node, value=2023","layer":4},{"info":"number node, value=4208","layer":4},{"info":"compute binary expreesion, left_input=2023, right_input=4208, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"number node, value=1086","layer":4},{"info":"compute unary expreesion, input=1086, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=4796","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4796, 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 = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇈(⨴⫝⪩⨒∯103310≁⪩⨒∯103012))⨽((⋗⩬⋾⪩⨒∯1221022)⩎⪣⊞)⪚(⪩⨒∯133213⇴∐⪩⨒∯1001300⋓(⊢≑≆⪩⨒∯100332))=NaN","reverse_text":"NaN=(⇈(⨴⫝⪩⨒∯103310≁⪩⨒∯103012))⨽((⋗⩬⋾⪩⨒∯1221022)⩎⪣⊞)⪚(⪩⨒∯133213⇴∐⪩⨒∯1001300⋓(⊢≑≆⪩⨒∯100332))","cot":[{"info":"⪩⨒∯103310≁⪩⨒∯103012=⪩⨒∯3323333","layer":3},{"info":"⨴⫝⪩⨒∯3323333=⪩⨒∯22302132212","layer":2},{"info":"⇈⪩⨒∯22302132212=⪩⨒∯-12333","layer":1},{"info":"⋗⩬⋾⪩⨒∯1221022=⪩⨒∯-10323132","layer":3},{"info":"⪩⨒∯-10323132⩎⪣⊞=NaN","layer":2},{"info":"⪩⨒∯133213⇴∐⪩⨒∯1001300=NaN","layer":3},{"info":"⊢≑≆⪩⨒∯100332=⪩⨒∯1022330","layer":3},{"info":"NaN⋓⪩⨒∯1022330=⪩⨒∯0","layer":2},{"info":"NaN⪚⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯-12333⨽NaN=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"($1712$≬⋮$3195$)⨜⨶$1696$≴⪞⇿$1918$≧⫂∧$9276$⨂≜$8958$⋥⋵⩄($5682$⊢$2897$)≧⫂∧($3715$∠↢$3803$↱$3140$⩺⪪$3305$)⇣⩺⋵(($1342$∙∹∝$2119$)⫑)","expression":"(⪩⨒∯122300≬⋮⪩⨒∯301323)⨜⨶⪩⨒∯122200≴⪞⇿⪩⨒∯131332≧⫂∧⪩⨒∯2100330⨂≜⪩⨒∯2023332⋥⋵⩄(⪩⨒∯1120302⊢⪩⨒∯231101)≧⫂∧(⪩⨒∯322003∠↢⪩⨒∯323123↱⪩⨒∯301010⩺⪪⪩⨒∯303221)⇣⩺⋵((⪩⨒∯110332∙∹∝⪩⨒∯201013)⫑)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":11209,"operation_count":14,"complexity_ratio":800.6428571428571,"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":1712,"base":4},"right_expr":{"type":"numeric_atoms","value":3195,"base":4}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":1696,"base":4},"right_expr":{"type":"numeric_atoms","value":1918,"base":4}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":9276,"base":4},"right_expr":{"type":"numeric_atoms","value":8958,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":5682,"base":4},"right_expr":{"type":"numeric_atoms","value":2897,"base":4}}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":3715,"base":4},"right_expr":{"type":"numeric_atoms","value":3803,"base":4}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":3140,"base":4},"right_expr":{"type":"numeric_atoms","value":3305,"base":4}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1342,"base":4},"right_expr":{"type":"numeric_atoms","value":2119,"base":4}}}}},"used_operators":["Ph9nP6C5qx","HiPekx5b7W","kbkesczE7y","lvlrscuwVU","7t3wd0Fuz7","k1SHOSEABc","5twsqlHp2o","F4yD0voBRQ","SR5kFfdi6N","KbjG8mgYpV","uvdQJvN4PV","CgIo77xlM2","HmxsFra2vL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1712","layer":4},{"info":"number node, value=3195","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=3195, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1696","layer":4},{"info":"number node, value=1918","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=1918, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=4050092","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=4050092, 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=-8099928","layer":2},{"info":"number node, value=9276","layer":4},{"info":"number node, value=8958","layer":4},{"info":"compute binary expreesion, left_input=9276, right_input=8958, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=5682","layer":4},{"info":"number node, value=2897","layer":4},{"info":"compute binary expreesion, left_input=5682, right_input=2897, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-11608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11608, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8099928, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=3715","layer":4},{"info":"number node, value=3803","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=3803, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-67020","layer":3},{"info":"number node, value=3140","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=3140, right_input=3305, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=1914","layer":3},{"info":"compute binary expreesion, left_input=-67020, right_input=1914, 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=-5220","layer":2},{"info":"number node, value=1342","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=2119, 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 = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=-5220, right_input=3979, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-28776","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-28776, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯122300≬⋮⪩⨒∯301323)⨜⨶⪩⨒∯122200≴⪞⇿⪩⨒∯131332≧⫂∧⪩⨒∯2100330⨂≜⪩⨒∯2023332⋥⋵⩄(⪩⨒∯1120302⊢⪩⨒∯231101)≧⫂∧(⪩⨒∯322003∠↢⪩⨒∯323123↱⪩⨒∯301010⩺⪪⪩⨒∯303221)⇣⩺⋵((⪩⨒∯110332∙∹∝⪩⨒∯201013)⫑)=NaN","reverse_text":"NaN=(⪩⨒∯122300≬⋮⪩⨒∯301323)⨜⨶⪩⨒∯122200≴⪞⇿⪩⨒∯131332≧⫂∧⪩⨒∯2100330⨂≜⪩⨒∯2023332⋥⋵⩄(⪩⨒∯1120302⊢⪩⨒∯231101)≧⫂∧(⪩⨒∯322003∠↢⪩⨒∯323123↱⪩⨒∯301010⩺⪪⪩⨒∯303221)⇣⩺⋵((⪩⨒∯110332∙∹∝⪩⨒∯201013)⫑)","cot":[{"info":"⪩⨒∯122300≬⋮⪩⨒∯301323=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯122200≴⪞⇿⪩⨒∯131332=⪩⨒∯33130302230","layer":3},{"info":"⪩⨒∯31210⨜⨶⪩⨒∯33130302230=⪩⨒∯-132321201120","layer":2},{"info":"⪩⨒∯2100330⨂≜⪩⨒∯2023332=NaN","layer":3},{"info":"⪩⨒∯1120302⊢⪩⨒∯231101=⪩⨒∯-2311120","layer":3},{"info":"NaN⋥⋵⩄⪩⨒∯-2311120=NaN","layer":2},{"info":"⪩⨒∯-132321201120≧⫂∧NaN=NaN","layer":1},{"info":"⪩⨒∯322003∠↢⪩⨒∯323123=⪩⨒∯-100113030","layer":3},{"info":"⪩⨒∯301010⩺⪪⪩⨒∯303221=⪩⨒∯131322","layer":3},{"info":"⪩⨒∯-100113030↱⪩⨒∯131322=⪩⨒∯-1101210","layer":2},{"info":"⪩⨒∯110332∙∹∝⪩⨒∯201013=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⫑=⪩⨒∯332023","layer":2},{"info":"⪩⨒∯-1101210⇣⩺⋵⪩⨒∯332023=⪩⨒∯-13001220","layer":1},{"info":"NaN≧⫂∧⪩⨒∯-13001220=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"($3205$⨽∌$4916$∴≳≥)⨳⩥⨓($1305$⨚⇆$1342$)⪝($1863$⊱⇼⊻$2463$)⫡⨏($2273$⨪↰⇹$1538$*$3054$⨼⩣$3188$)≴⪞⇿($2848$≚⊃≕$1152$⨻⩈⩔(⇈$1270$))","expression":"(⪩⨒∯302011⨽∌⪩⨒∯1030310∴≳≥)⨳⩥⨓(⪩⨒∯110121⨚⇆⪩⨒∯110332)⪝(⪩⨒∯131013⊱⇼⊻⪩⨒∯212133)⫡⨏(⪩⨒∯203201⨪↰⇹⪩⨒∯120002*⪩⨒∯233232⨼⩣⪩⨒∯301310)≴⪞⇿(⪩⨒∯230200≚⊃≕⪩⨒∯102000⨻⩈⩔(⇈⪩⨒∯103312))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13448,"operation_count":14,"complexity_ratio":960.5714285714286,"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":3205,"base":4},"right_expr":{"type":"numeric_atoms","value":4916,"base":4}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1305,"base":4},"right_expr":{"type":"numeric_atoms","value":1342,"base":4}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1863,"base":4},"right_expr":{"type":"numeric_atoms","value":2463,"base":4}}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2273,"base":4},"right_expr":{"type":"numeric_atoms","value":1538,"base":4}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3054,"base":4},"right_expr":{"type":"numeric_atoms","value":3188,"base":4}}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"numeric_atoms","value":2848,"base":4},"right_expr":{"type":"numeric_atoms","value":1152,"base":4}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1270,"base":4}}}}},"used_operators":["QMFrweE19q","nCS4ZIUYfx","a3N2hFLK0J","9samAPKr6k","wicAB68Tmb","lwHaAYXP2r","FyVja0WsTP","lvlrscuwVU","9HNa5Wba9A","tmPS8pqC7x","JxwMv5le6e","nEsXyWgiOK","Bmrmz2XGnR","SLLxy00UIr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","W4YGzv6Whe","rJVOvQCfKK","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3205","layer":4},{"info":"number node, value=4916","layer":4},{"info":"compute binary expreesion, left_input=3205, right_input=4916, 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 = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=0","layer":2},{"info":"number node, value=1305","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=1305, right_input=1342, 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=1863","layer":4},{"info":"number node, value=2463","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=2463, 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=nan, right_input=434, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2273","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=2273, right_input=1538, 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=2273","layer":3},{"info":"number node, value=3054","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=3188, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2273, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2848","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=2848, right_input=1152, 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=1270","layer":4},{"info":"compute unary expreesion, input=1270, 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 = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-174, 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 = 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":4,"result_base":4,"text":"(⪩⨒∯302011⨽∌⪩⨒∯1030310∴≳≥)⨳⩥⨓(⪩⨒∯110121⨚⇆⪩⨒∯110332)⪝(⪩⨒∯131013⊱⇼⊻⪩⨒∯212133)⫡⨏(⪩⨒∯203201⨪↰⇹⪩⨒∯120002*⪩⨒∯233232⨼⩣⪩⨒∯301310)≴⪞⇿(⪩⨒∯230200≚⊃≕⪩⨒∯102000⨻⩈⩔(⇈⪩⨒∯103312))=NaN","reverse_text":"NaN=(⪩⨒∯302011⨽∌⪩⨒∯1030310∴≳≥)⨳⩥⨓(⪩⨒∯110121⨚⇆⪩⨒∯110332)⪝(⪩⨒∯131013⊱⇼⊻⪩⨒∯212133)⫡⨏(⪩⨒∯203201⨪↰⇹⪩⨒∯120002*⪩⨒∯233232⨼⩣⪩⨒∯301310)≴⪞⇿(⪩⨒∯230200≚⊃≕⪩⨒∯102000⨻⩈⩔(⇈⪩⨒∯103312))","cot":[{"info":"⪩⨒∯302011⨽∌⪩⨒∯1030310=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0∴≳≥=⪩⨒∯0","layer":2},{"info":"⪩⨒∯110121⨚⇆⪩⨒∯110332=NaN","layer":3},{"info":"⪩⨒∯131013⊱⇼⊻⪩⨒∯212133=⪩⨒∯12302","layer":3},{"info":"NaN⪝⪩⨒∯12302=NaN","layer":2},{"info":"⪩⨒∯0⨳⩥⨓NaN=NaN","layer":1},{"info":"⪩⨒∯203201⨪↰⇹⪩⨒∯120002=⪩⨒∯203201","layer":3},{"info":"⪩⨒∯233232⨼⩣⪩⨒∯301310=NaN","layer":3},{"info":"⪩⨒∯203201*NaN=NaN","layer":2},{"info":"⪩⨒∯230200≚⊃≕⪩⨒∯102000=⪩⨒∯1003","layer":3},{"info":"⇈⪩⨒∯103312=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1003⨻⩈⩔⪩⨒∯-12333=⪩⨒∯-2232","layer":2},{"info":"NaN≴⪞⇿⪩⨒∯-2232=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"(($1222$⋷$1052$)↳≱($4644$⋭≵$1526$)⪒(($1541$⨚⇆$4575$)⩉⊫⨁))⨓(($1200$⪢$1988$)⇗⋫)↹⊜($1611$⪄$1373$)∴(⪁⇼$3026$)","expression":"((⪩⨒∯103012⋷⪩⨒∯100130)↳≱(⪩⨒∯1020210⋭≵⪩⨒∯113312)⪒((⪩⨒∯120011⨚⇆⪩⨒∯1013133)⩉⊫⨁))⨓((⪩⨒∯102300⪢⪩⨒∯133010)⇗⋫)↹⊜(⪩⨒∯121023⪄⪩⨒∯111131)∴(⪁⇼⪩⨒∯233102)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13079,"operation_count":13,"complexity_ratio":1006.0769230769231,"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":1222,"base":4},"right_expr":{"type":"numeric_atoms","value":1052,"base":4}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":4644,"base":4},"right_expr":{"type":"numeric_atoms","value":1526,"base":4}}},"right_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":1541,"base":4},"right_expr":{"type":"numeric_atoms","value":4575,"base":4}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1200,"base":4},"right_expr":{"type":"numeric_atoms","value":1988,"base":4}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1611,"base":4},"right_expr":{"type":"numeric_atoms","value":1373,"base":4}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"numeric_atoms","value":3026,"base":4}}}}},"used_operators":["3ViojmjbAp","f6k1SAg4EE","JwTKLfZU96","23Mk6UjR3U","jBncVCNhdl","7qqUquhhSb","lwHaAYXP2r","9bazX3JMtO","hpqmaQFPrd","dWAJyo7jo9","hrf7POJlIJ","SUmda5xLS4","ZNVVrZ94lY"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","W4YGzv6Whe","t8gj7n24qd","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","7j4O788W3g","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rxpJgHHUmx","k8jYdgA6NY","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1222","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=1052, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=882","layer":3},{"info":"number node, value=4644","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=4644, right_input=1526, 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=882, right_input=67, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=1541","layer":4},{"info":"number node, value=4575","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=4575, 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 = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1200","layer":4},{"info":"number node, value=1988","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=1988, 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 = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"number node, value=1611","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=1611, right_input=1373, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-240009","layer":3},{"info":"number node, value=3026","layer":4},{"info":"compute unary expreesion, input=3026, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute binary expreesion, left_input=-240009, right_input=422, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-478370","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-478370, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯103012⋷⪩⨒∯100130)↳≱(⪩⨒∯1020210⋭≵⪩⨒∯113312)⪒((⪩⨒∯120011⨚⇆⪩⨒∯1013133)⩉⊫⨁))⨓((⪩⨒∯102300⪢⪩⨒∯133010)⇗⋫)↹⊜(⪩⨒∯121023⪄⪩⨒∯111131)∴(⪁⇼⪩⨒∯233102)=NaN","reverse_text":"NaN=((⪩⨒∯103012⋷⪩⨒∯100130)↳≱(⪩⨒∯1020210⋭≵⪩⨒∯113312)⪒((⪩⨒∯120011⨚⇆⪩⨒∯1013133)⩉⊫⨁))⨓((⪩⨒∯102300⪢⪩⨒∯133010)⇗⋫)↹⊜(⪩⨒∯121023⪄⪩⨒∯111131)∴(⪁⇼⪩⨒∯233102)","cot":[{"info":"⪩⨒∯103012⋷⪩⨒∯100130=⪩⨒∯31302","layer":3},{"info":"⪩⨒∯1020210⋭≵⪩⨒∯113312=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯31302↳≱⪩⨒∯1003=⪩⨒∯0","layer":2},{"info":"⪩⨒∯120011⨚⇆⪩⨒∯1013133=NaN","layer":3},{"info":"NaN⩉⊫⨁=NaN","layer":2},{"info":"⪩⨒∯0⪒NaN=NaN","layer":1},{"info":"⪩⨒∯102300⪢⪩⨒∯133010=NaN","layer":3},{"info":"NaN⇗⋫=NaN","layer":2},{"info":"⪩⨒∯121023⪄⪩⨒∯111131=⪩⨒∯-322212021","layer":3},{"info":"⪁⇼⪩⨒∯233102=⪩⨒∯12212","layer":3},{"info":"⪩⨒∯-322212021∴⪩⨒∯12212=⪩⨒∯-1310302202","layer":2},{"info":"NaN↹⊜⪩⨒∯-1310302202=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":753,"expression_no_base_symbol":"((⋗⩬⋾(⪁⇼$6874$))≦≮≮)⪭($4878$⪃⊛⇣$4563$≁↽≥($6612$⫦⪉$1104$)⇼⇔∾$1072$⇍⊗$8617$⪉⨛$2000$⊉↱≁$1195$)","expression":"((⋗⩬⋾(⪁⇼⪩⨒∯1223122))≦≮≮)⪭(⪩⨒∯1030032⪃⊛⇣⪩⨒∯1013103≁↽≥(⪩⨒∯1213110⫦⪉⪩⨒∯101100)⇼⇔∾⪩⨒∯100300⇍⊗⪩⨒∯2012221⪉⨛⪩⨒∯133100⊉↱≁⪩⨒∯102223)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9060,"operation_count":11,"complexity_ratio":823.6363636363636,"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":6874,"base":4}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":4878,"base":4},"right_expr":{"type":"numeric_atoms","value":4563,"base":4}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":6612,"base":4},"right_expr":{"type":"numeric_atoms","value":1104,"base":4}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1072,"base":4},"right_expr":{"type":"numeric_atoms","value":8617,"base":4}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2000,"base":4},"right_expr":{"type":"numeric_atoms","value":1195,"base":4}}}}},"used_operators":["j9kHMeSvPp","D4vGDi5EA2","DpFCA1CohY","ZNVVrZ94lY","tifHPKVTfV","ncHt1X6cMc","rrgAzCduG9","wscyQdcy20","EWw2JM7wp4","5uvYHDjeKN","w2P8NbNXyL"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","rysDP5nf3Z","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL"],"result":"⪩⨒∯11","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6874","layer":4},{"info":"compute unary expreesion, input=6874, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"compute unary expreesion, input=422, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-1266","layer":2},{"info":"compute unary expreesion, input=-1266, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=3798","layer":1},{"info":"number node, value=4878","layer":4},{"info":"number node, value=4563","layer":4},{"info":"compute binary expreesion, left_input=4878, right_input=4563, 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=6612","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=6612, right_input=1104, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-8324","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-8324, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":2},{"info":"number node, value=1072","layer":4},{"info":"number node, value=8617","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=8617, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"number node, value=2000","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=1195, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=12778","layer":3},{"info":"compute binary expreesion, left_input=-244, right_input=12778, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-38851","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=-38851, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-39047","layer":1},{"info":"compute binary expreesion, left_input=3798, right_input=-39047, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":0}],"base":4,"result_base":4,"text":"((⋗⩬⋾(⪁⇼⪩⨒∯1223122))≦≮≮)⪭(⪩⨒∯1030032⪃⊛⇣⪩⨒∯1013103≁↽≥(⪩⨒∯1213110⫦⪉⪩⨒∯101100)⇼⇔∾⪩⨒∯100300⇍⊗⪩⨒∯2012221⪉⨛⪩⨒∯133100⊉↱≁⪩⨒∯102223)=⪩⨒∯11","reverse_text":"⪩⨒∯11=((⋗⩬⋾(⪁⇼⪩⨒∯1223122))≦≮≮)⪭(⪩⨒∯1030032⪃⊛⇣⪩⨒∯1013103≁↽≥(⪩⨒∯1213110⫦⪉⪩⨒∯101100)⇼⇔∾⪩⨒∯100300⇍⊗⪩⨒∯2012221⪉⨛⪩⨒∯133100⊉↱≁⪩⨒∯102223)","cot":[{"info":"⪁⇼⪩⨒∯1223122=⪩⨒∯12212","layer":3},{"info":"⋗⩬⋾⪩⨒∯12212=⪩⨒∯-103302","layer":2},{"info":"⪩⨒∯-103302≦≮≮=⪩⨒∯323112","layer":1},{"info":"⪩⨒∯1030032⪃⊛⇣⪩⨒∯1013103=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯1213110⫦⪉⪩⨒∯101100=⪩⨒∯-2002010","layer":3},{"info":"⪩⨒∯103102≁↽≥⪩⨒∯-2002010=⪩⨒∯3010","layer":2},{"info":"⪩⨒∯100300⇍⊗⪩⨒∯2012221=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯133100⊉↱≁⪩⨒∯102223=⪩⨒∯3013222","layer":3},{"info":"⪩⨒∯-3310⪉⨛⪩⨒∯3013222=⪩⨒∯-21133003","layer":2},{"info":"⪩⨒∯3010⇼⇔∾⪩⨒∯-21133003=⪩⨒∯-21202013","layer":1},{"info":"⪩⨒∯323112⪭⪩⨒∯-21202013=⪩⨒∯11","layer":0}]}
{"id":754,"expression_no_base_symbol":"(⨙⪌($1249$≎⊠⪸$7022$))⫥∨⫟($2709$⇄$2240$⋷(⊬↢$2329$))⋻⩜⩜(($1106$↳≱$1211$)⪝($1288$⊴$5147$)⫔⩽⩺($3181$⪒⊣⊆$7708$∸))","expression":"(⨙⪌(⪩⨒∯103201≎⊠⪸⪩⨒∯1231232))⫥∨⫟(⪩⨒∯222111⇄⪩⨒∯203000⋷(⊬↢⪩⨒∯210121))⋻⩜⩜((⪩⨒∯101102↳≱⪩⨒∯102323)⪝(⪩⨒∯110020⊴⪩⨒∯1100123)⫔⩽⩺(⪩⨒∯301231⪒⊣⊆⪩⨒∯1320130∸))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":43563,"operation_count":13,"complexity_ratio":3351.0,"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":1249,"base":4},"right_expr":{"type":"numeric_atoms","value":7022,"base":4}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":2709,"base":4},"right_expr":{"type":"numeric_atoms","value":2240,"base":4}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"numeric_atoms","value":2329,"base":4}}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":1106,"base":4},"right_expr":{"type":"numeric_atoms","value":1211,"base":4}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1288,"base":4},"right_expr":{"type":"numeric_atoms","value":5147,"base":4}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3181,"base":4},"right_expr":{"type":"numeric_atoms","value":7708,"base":4}}}}},"used_operators":["oDCm7WA9JY","KYD54nUTWz","vEGLkm4Z2k","bJkvcejdHO","23Mk6UjR3U","3EYGwJThht","WPoGxAaPR1","i9eR4S00cU","wicAB68Tmb","JwTKLfZU96","Nsiff2A1zJ","o20kRiQErp","eRqsBgTDFp"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","Tw270M8GLb","fu6greOZ01","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1249","layer":4},{"info":"number node, value=7022","layer":4},{"info":"compute binary expreesion, left_input=1249, right_input=7022, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=323018","layer":3},{"info":"compute unary expreesion, input=323018, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=2709","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=2709, right_input=2240, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2329","layer":4},{"info":"compute unary expreesion, input=2329, 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=0, right_input=218, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1211, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=1288","layer":4},{"info":"number node, value=5147","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=5147, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"number node, value=3181","layer":4},{"info":"number node, value=7708","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=7708, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6362","layer":3},{"info":"compute unary expreesion, input=6362, 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 = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":4,"result_base":4,"text":"(⨙⪌(⪩⨒∯103201≎⊠⪸⪩⨒∯1231232))⫥∨⫟(⪩⨒∯222111⇄⪩⨒∯203000⋷(⊬↢⪩⨒∯210121))⋻⩜⩜((⪩⨒∯101102↳≱⪩⨒∯102323)⪝(⪩⨒∯110020⊴⪩⨒∯1100123)⫔⩽⩺(⪩⨒∯301231⪒⊣⊆⪩⨒∯1320130∸))=NaN","reverse_text":"NaN=(⨙⪌(⪩⨒∯103201≎⊠⪸⪩⨒∯1231232))⫥∨⫟(⪩⨒∯222111⇄⪩⨒∯203000⋷(⊬↢⪩⨒∯210121))⋻⩜⩜((⪩⨒∯101102↳≱⪩⨒∯102323)⪝(⪩⨒∯110020⊴⪩⨒∯1100123)⫔⩽⩺(⪩⨒∯301231⪒⊣⊆⪩⨒∯1320130∸))","cot":[{"info":"⪩⨒∯103201≎⊠⪸⪩⨒∯1231232=⪩⨒∯1032313022","layer":3},{"info":"⨙⪌⪩⨒∯1032313022=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯222111⇄⪩⨒∯203000=⪩⨒∯0","layer":3},{"info":"⊬↢⪩⨒∯210121=⪩⨒∯3122","layer":3},{"info":"⪩⨒∯0⋷⪩⨒∯3122=⪩⨒∯0","layer":2},{"info":"⪩⨒∯31210⫥∨⫟⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯101102↳≱⪩⨒∯102323=⪩⨒∯0","layer":3},{"info":"⪩⨒∯110020⊴⪩⨒∯1100123=NaN","layer":3},{"info":"⪩⨒∯0⪝NaN=NaN","layer":2},{"info":"⪩⨒∯301231⪒⊣⊆⪩⨒∯1320130=⪩⨒∯1203122","layer":3},{"info":"⪩⨒∯1203122∸=⪩⨒∯2301","layer":2},{"info":"NaN⫔⩽⩺⪩⨒∯2301=NaN","layer":1},{"info":"NaN⋻⩜⩜NaN=NaN","layer":0}]}
{"id":755,"expression_no_base_symbol":"(($3137$⨐$3227$⋭≵$4176$⫁$7423$)↦)∠↢(((⋗⩴⪓$1421$)∑⇟⊟($3086$⫲≸⪮$1537$))⪘⨀)","expression":"((⪩⨒∯301001⨐⪩⨒∯302123⋭≵⪩⨒∯1001100⫁⪩⨒∯1303333)↦)∠↢(((⋗⩴⪓⪩⨒∯112031)∑⇟⊟(⪩⨒∯300032⫲≸⪮⪩⨒∯120001))⪘⨀)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4905,"operation_count":9,"complexity_ratio":545.0,"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":3137,"base":4},"right_expr":{"type":"numeric_atoms","value":3227,"base":4}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":4176,"base":4},"right_expr":{"type":"numeric_atoms","value":7423,"base":4}}}},"right_expr":{"type":"unary","operator":"⪘⨀","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⋗⩴⪓","unary_expr":{"type":"numeric_atoms","value":1421,"base":4}},"right_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":3086,"base":4},"right_expr":{"type":"numeric_atoms","value":1537,"base":4}}}}},"used_operators":["KbjG8mgYpV","fFznvYxMfW","jBncVCNhdl","Noe24qw2ks","0ajvFaJAv0","aA7tF3KVD3","U7g4x0WXJJ","nOKPl9n5zu","P3lXMJvFrc"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","cHh1gJQ2o6","AHs5Up7iyr","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qtd6bqUJcN","tifHPKVTfV","tmPS8pqC7x","jLgFTUHLKL","wztAlM01eG","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3137","layer":4},{"info":"number node, value=3227","layer":4},{"info":"compute binary expreesion, left_input=3137, right_input=3227, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6274","layer":3},{"info":"number node, value=4176","layer":4},{"info":"number node, value=7423","layer":4},{"info":"compute binary expreesion, left_input=4176, right_input=7423, 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=-6274, 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":2},{"info":"compute unary expreesion, input=67, op_id = fFznvYxMfW, unary_op_definition = 'a↦ = { (((a⊹∫⫚a)*177)⊹∫⫚((579⨰53)⪍↜⋙a)) , if a<72 ; ((⇁⨣⪵(a⫯⪬∳a))⫁⪎((a∘a)≹⇙⪍(a⇮⋭a))) , else }', output=-208","layer":1},{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, op_id = nOKPl9n5zu, unary_op_definition = '⋗⩴⪓a = { (↩a) , if (↸⊣a)>=41 ; (a⇼⇔∾(≪(a⨪↰⇹a))) , else }', output=-508","layer":3},{"info":"number node, value=3086","layer":4},{"info":"number node, value=1537","layer":4},{"info":"compute binary expreesion, left_input=3086, right_input=1537, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=3086","layer":3},{"info":"compute binary expreesion, left_input=-508, right_input=3086, 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 = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-208, 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":4,"result_base":4,"text":"((⪩⨒∯301001⨐⪩⨒∯302123⋭≵⪩⨒∯1001100⫁⪩⨒∯1303333)↦)∠↢(((⋗⩴⪓⪩⨒∯112031)∑⇟⊟(⪩⨒∯300032⫲≸⪮⪩⨒∯120001))⪘⨀)=NaN","reverse_text":"NaN=((⪩⨒∯301001⨐⪩⨒∯302123⋭≵⪩⨒∯1001100⫁⪩⨒∯1303333)↦)∠↢(((⋗⩴⪓⪩⨒∯112031)∑⇟⊟(⪩⨒∯300032⫲≸⪮⪩⨒∯120001))⪘⨀)","cot":[{"info":"⪩⨒∯301001⨐⪩⨒∯302123=⪩⨒∯-1202002","layer":3},{"info":"⪩⨒∯1001100⫁⪩⨒∯1303333=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-1202002⋭≵⪩⨒∯2200=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯1003↦=⪩⨒∯-3100","layer":1},{"info":"⋗⩴⪓⪩⨒∯112031=⪩⨒∯-13330","layer":3},{"info":"⪩⨒∯300032⫲≸⪮⪩⨒∯120001=⪩⨒∯300032","layer":3},{"info":"⪩⨒∯-13330∑⇟⊟⪩⨒∯300032=NaN","layer":2},{"info":"NaN⪘⨀=NaN","layer":1},{"info":"⪩⨒∯-3100∠↢NaN=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"(⫛⫱⨽($1510$⇪⋭))↹⊜($1020$∠⫱$2379$⋖∅⋲)/(($5853$⋥≓≎$2371$)⩤)≓∲($6549$⫳≱↱$1001$)⨚$5419$⊬⨰$1115$","expression":"(⫛⫱⨽(⪩⨒∯113212⇪⋭))↹⊜(⪩⨒∯33330∠⫱⪩⨒∯211023⋖∅⋲)/((⪩⨒∯1123131⋥≓≎⪩⨒∯211003)⩤)≓∲(⪩⨒∯1212111⫳≱↱⪩⨒∯33221)⨚⪩⨒∯1110223⊬⨰⪩⨒∯101123","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1511,"operation_count":12,"complexity_ratio":125.91666666666667,"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":1510,"base":4}}},"right_expr":{"type":"unary","operator":"⋖∅⋲","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1020,"base":4},"right_expr":{"type":"numeric_atoms","value":2379,"base":4}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5853,"base":4},"right_expr":{"type":"numeric_atoms","value":2371,"base":4}}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":6549,"base":4},"right_expr":{"type":"numeric_atoms","value":1001,"base":4}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":5419,"base":4},"right_expr":{"type":"numeric_atoms","value":1115,"base":4}}}}},"used_operators":["XhwjNDsVaA","9bazX3JMtO","DlLNRPXxWL","Z8Yg6dlDSp","L95AwlJzhO","QvoQhV0rrE","s1XTVnmDOJ","Z2TMIBDE3Q","Qy55tPpLXF","nREPSIbpBE","ZvLB05nZmT","s3Fd5m9Dh2"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rGHVDoGpnC","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","BjRHVeLaeN","12rbrZMWeM","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1510","layer":4},{"info":"compute unary expreesion, input=1510, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=1020","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=2379, 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 = 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 = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":1},{"info":"number node, value=5853","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=5853, right_input=2371, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1078","layer":3},{"info":"compute unary expreesion, input=-1078, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1078","layer":2},{"info":"number node, value=6549","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=6549, right_input=1001, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=5419","layer":4},{"info":"number node, value=1115","layer":4},{"info":"compute binary expreesion, left_input=5419, right_input=1115, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=8823","layer":3},{"info":"compute binary expreesion, left_input=-204, right_input=8823, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-34766","layer":2},{"info":"compute binary expreesion, left_input=1078, right_input=-34766, 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=986935","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=986935, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⫛⫱⨽(⪩⨒∯113212⇪⋭))↹⊜(⪩⨒∯33330∠⫱⪩⨒∯211023⋖∅⋲)/((⪩⨒∯1123131⋥≓≎⪩⨒∯211003)⩤)≓∲(⪩⨒∯1212111⫳≱↱⪩⨒∯33221)⨚⪩⨒∯1110223⊬⨰⪩⨒∯101123=NaN","reverse_text":"NaN=(⫛⫱⨽(⪩⨒∯113212⇪⋭))↹⊜(⪩⨒∯33330∠⫱⪩⨒∯211023⋖∅⋲)/((⪩⨒∯1123131⋥≓≎⪩⨒∯211003)⩤)≓∲(⪩⨒∯1212111⫳≱↱⪩⨒∯33221)⨚⪩⨒∯1110223⊬⨰⪩⨒∯101123","cot":[{"info":"⪩⨒∯113212⇪⋭=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"⪩⨒∯33330∠⫱⪩⨒∯211023=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯103102⋖∅⋲=⪩⨒∯-1131303213","layer":2},{"info":"NaN↹⊜⪩⨒∯-1131303213=NaN","layer":1},{"info":"⪩⨒∯1123131⋥≓≎⪩⨒∯211003=⪩⨒∯-100312","layer":3},{"info":"⪩⨒∯-100312⩤=⪩⨒∯100312","layer":2},{"info":"⪩⨒∯1212111⫳≱↱⪩⨒∯33221=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯1110223⊬⨰⪩⨒∯101123=⪩⨒∯2021313","layer":3},{"info":"⪩⨒∯-3030⨚⪩⨒∯2021313=⪩⨒∯-20133032","layer":2},{"info":"⪩⨒∯100312≓∲⪩⨒∯-20133032=⪩⨒∯3300330313","layer":1},{"info":"NaN/⪩⨒∯3300330313=NaN","layer":0}]}
{"id":757,"expression_no_base_symbol":"(∤$1886$)∊∟⩊($1034$⨫⇇↔$1368$)⋥⋵⩄(($4012$≓∲$1013$)→⨶⪴$6389$⨽∌$3972$)∼((⨭⩧⫛$1363$)⪣⫩)⫘($3043$⨻⩈⩔$2385$⩵∡$4143$∝$4135$)","expression":"(∤⪩⨒∯131132)∊∟⩊(⪩⨒∯100022⨫⇇↔⪩⨒∯111120)⋥⋵⩄((⪩⨒∯332230≓∲⪩⨒∯33311)→⨶⪴⪩⨒∯1203311⨽∌⪩⨒∯332010)∼((⨭⩧⫛⪩⨒∯111103)⪣⫩)⫘(⪩⨒∯233203⨻⩈⩔⪩⨒∯211101⩵∡⪩⨒∯1000233∝⪩⨒∯1000213)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":1456,"operation_count":14,"complexity_ratio":104.0,"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":1886,"base":4}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1034,"base":4},"right_expr":{"type":"numeric_atoms","value":1368,"base":4}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":4012,"base":4},"right_expr":{"type":"numeric_atoms","value":1013,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":6389,"base":4},"right_expr":{"type":"numeric_atoms","value":3972,"base":4}}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"unary","operator":"⨭⩧⫛","unary_expr":{"type":"numeric_atoms","value":1363,"base":4}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3043,"base":4},"right_expr":{"type":"numeric_atoms","value":2385,"base":4}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4143,"base":4},"right_expr":{"type":"numeric_atoms","value":4135,"base":4}}}}},"used_operators":["DyGG3AbaNP","7t3wd0Fuz7","ddLRYrp01A","k2HlF1dBQh","LXhwmt4mBO","bF6eod5Gvf","s1XTVnmDOJ","9samAPKr6k","48vC8HMD2b","iuk5sVOGFA","g21JL6JxX7","Y7wcNGrDQJ","nEsXyWgiOK","cTDWOvIxvz"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","8w2t5hMYqp","9FxExcQeMw","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","Ikt5ks8PT7","Asc51vEJeQ","A8NUZmVepG","NTOWxs364D","glklzrTFfD","tifHPKVTfV","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"compute unary expreesion, input=1886, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=1368, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=9, right_input=-527, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=9","layer":2},{"info":"number node, value=4012","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=4012, right_input=1013, 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=40903","layer":3},{"info":"number node, value=6389","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=6389, right_input=3972, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=40903, right_input=0, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=81774","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=81774, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":1},{"info":"number node, value=1363","layer":4},{"info":"compute unary expreesion, input=1363, op_id = g21JL6JxX7, unary_op_definition = '⨭⩧⫛a = { ((↥a)⩧⪆(↣≠⋷a)) }', output=nan","layer":3},{"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":2},{"info":"number node, value=3043","layer":4},{"info":"number node, value=2385","layer":4},{"info":"compute binary expreesion, left_input=3043, right_input=2385, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=15943","layer":3},{"info":"number node, value=4143","layer":4},{"info":"number node, value=4135","layer":4},{"info":"compute binary expreesion, left_input=4143, right_input=4135, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4148","layer":3},{"info":"compute binary expreesion, left_input=15943, right_input=4148, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-27859","layer":2},{"info":"compute binary expreesion, left_input=913, right_input=-27859, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=1078093","layer":1},{"info":"compute binary expreesion, left_input=113, right_input=1078093, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(∤⪩⨒∯131132)∊∟⩊(⪩⨒∯100022⨫⇇↔⪩⨒∯111120)⋥⋵⩄((⪩⨒∯332230≓∲⪩⨒∯33311)→⨶⪴⪩⨒∯1203311⨽∌⪩⨒∯332010)∼((⨭⩧⫛⪩⨒∯111103)⪣⫩)⫘(⪩⨒∯233203⨻⩈⩔⪩⨒∯211101⩵∡⪩⨒∯1000233∝⪩⨒∯1000213)=NaN","reverse_text":"NaN=(∤⪩⨒∯131132)∊∟⩊(⪩⨒∯100022⨫⇇↔⪩⨒∯111120)⋥⋵⩄((⪩⨒∯332230≓∲⪩⨒∯33311)→⨶⪴⪩⨒∯1203311⨽∌⪩⨒∯332010)∼((⨭⩧⫛⪩⨒∯111103)⪣⫩)⫘(⪩⨒∯233203⨻⩈⩔⪩⨒∯211101⩵∡⪩⨒∯1000233∝⪩⨒∯1000213)","cot":[{"info":"∤⪩⨒∯131132=⪩⨒∯21","layer":3},{"info":"⪩⨒∯100022⨫⇇↔⪩⨒∯111120=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯21∊∟⩊⪩⨒∯-20033=⪩⨒∯21","layer":2},{"info":"⪩⨒∯332230≓∲⪩⨒∯33311=⪩⨒∯21333013","layer":3},{"info":"⪩⨒∯1203311⨽∌⪩⨒∯332010=⪩⨒∯0","layer":3},{"info":"⪩⨒∯21333013→⨶⪴⪩⨒∯0=⪩⨒∯103331232","layer":2},{"info":"⪩⨒∯21⋥⋵⩄⪩⨒∯103331232=⪩⨒∯1301","layer":1},{"info":"⨭⩧⫛⪩⨒∯111103=NaN","layer":3},{"info":"NaN⪣⫩=⪩⨒∯32101","layer":2},{"info":"⪩⨒∯233203⨻⩈⩔⪩⨒∯211101=⪩⨒∯3321013","layer":3},{"info":"⪩⨒∯1000233∝⪩⨒∯1000213=⪩⨒∯1000310","layer":3},{"info":"⪩⨒∯3321013⩵∡⪩⨒∯1000310=⪩⨒∯-12303103","layer":2},{"info":"⪩⨒∯32101⫘⪩⨒∯-12303103=⪩⨒∯10013031031","layer":1},{"info":"⪩⨒∯1301∼⪩⨒∯10013031031=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"(∥⊫($2088$⩅⪻⪻)↳≱($1968$⪮%⊝$1563$))⋕⪉⪜((∂$3584$)⨑⩅≇($2778$⊉↱≁$6390$)⊴(⩷⨜⫀($6233$⋷$2518$)))","expression":"(∥⊫(⪩⨒∯200220⩅⪻⪻)↳≱(⪩⨒∯132300⪮%⊝⪩⨒∯120123))⋕⪉⪜((∂⪩⨒∯320000)⨑⩅≇(⪩⨒∯223122⊉↱≁⪩⨒∯1203312)⊴(⩷⨜⫀(⪩⨒∯1201121⋷⪩⨒∯213112)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1192,"operation_count":11,"complexity_ratio":108.36363636363636,"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":2088,"base":4}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1968,"base":4},"right_expr":{"type":"numeric_atoms","value":1563,"base":4}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3584,"base":4}},"right_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"numeric_atoms","value":2778,"base":4},"right_expr":{"type":"numeric_atoms","value":6390,"base":4}}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6233,"base":4},"right_expr":{"type":"numeric_atoms","value":2518,"base":4}}}}},"used_operators":["z6LnFrNh4i","P8v4zCKN1o","JwTKLfZU96","kHoXpA7yos","IWmyXbctLI","Nsiff2A1zJ","h92wMvzauj","Uaa54Peajs","w2P8NbNXyL","CDi0ktkjQ4","23Mk6UjR3U"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","ruOEQAzv1W","nhYeJWJD5X","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯3030","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2088","layer":4},{"info":"compute unary expreesion, input=2088, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-308449","layer":3},{"info":"number node, value=1968","layer":4},{"info":"number node, value=1563","layer":4},{"info":"compute binary expreesion, left_input=1968, right_input=1563, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4252","layer":3},{"info":"compute binary expreesion, left_input=-308449, right_input=4252, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"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":1},{"info":"number node, value=3584","layer":4},{"info":"compute unary expreesion, input=3584, 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=2778","layer":4},{"info":"number node, value=6390","layer":4},{"info":"compute binary expreesion, left_input=2778, right_input=6390, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-11674","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-11674, 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=6233","layer":4},{"info":"number node, value=2518","layer":4},{"info":"compute binary expreesion, left_input=6233, right_input=2518, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1197","layer":3},{"info":"compute unary expreesion, input=-1197, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-766","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=-766, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":0}],"base":4,"result_base":4,"text":"(∥⊫(⪩⨒∯200220⩅⪻⪻)↳≱(⪩⨒∯132300⪮%⊝⪩⨒∯120123))⋕⪉⪜((∂⪩⨒∯320000)⨑⩅≇(⪩⨒∯223122⊉↱≁⪩⨒∯1203312)⊴(⩷⨜⫀(⪩⨒∯1201121⋷⪩⨒∯213112)))=⪩⨒∯3030","reverse_text":"⪩⨒∯3030=(∥⊫(⪩⨒∯200220⩅⪻⪻)↳≱(⪩⨒∯132300⪮%⊝⪩⨒∯120123))⋕⪉⪜((∂⪩⨒∯320000)⨑⩅≇(⪩⨒∯223122⊉↱≁⪩⨒∯1203312)⊴(⩷⨜⫀(⪩⨒∯1201121⋷⪩⨒∯213112)))","cot":[{"info":"⪩⨒∯200220⩅⪻⪻=⪩⨒∯-1023103201","layer":3},{"info":"⪩⨒∯132300⪮%⊝⪩⨒∯120123=⪩⨒∯1002130","layer":3},{"info":"⪩⨒∯-1023103201↳≱⪩⨒∯1002130=⪩⨒∯0","layer":2},{"info":"∥⊫⪩⨒∯0=⪩⨒∯31210","layer":1},{"info":"∂⪩⨒∯320000=NaN","layer":3},{"info":"⪩⨒∯223122⊉↱≁⪩⨒∯1203312=⪩⨒∯-2312122","layer":3},{"info":"NaN⨑⩅≇⪩⨒∯-2312122=⪩⨒∯32213","layer":2},{"info":"⪩⨒∯1201121⋷⪩⨒∯213112=⪩⨒∯-102231","layer":3},{"info":"⩷⨜⫀⪩⨒∯-102231=⪩⨒∯-23332","layer":2},{"info":"⪩⨒∯32213⊴⪩⨒∯-23332=NaN","layer":1},{"info":"⪩⨒∯31210⋕⪉⪜NaN=⪩⨒∯3030","layer":0}]}
{"id":759,"expression_no_base_symbol":"((($4668$⨎⋸⪻)⪉⨛$2507$⇡⇂$4056$)⪛⫼($3192$⩎⪣⊞)⩦($3632$⨔≚≋$1570$))⨻⩈⩔(($2051$⪪$2362$)∛($8866$⫥∨⫟$3975$)⫌⩉⩟(⊵⊁$8374$)↸$2300$⇌⫙⪟$1386$)","expression":"(((⪩⨒∯1020330⨎⋸⪻)⪉⨛⪩⨒∯213023⇡⇂⪩⨒∯333120)⪛⫼(⪩⨒∯301320⩎⪣⊞)⩦(⪩⨒∯320300⨔≚≋⪩⨒∯120202))⨻⩈⩔((⪩⨒∯200003⪪⪩⨒∯210322)∛(⪩⨒∯2022202⫥∨⫟⪩⨒∯332013)⫌⩉⩟(⊵⊁⪩⨒∯2002312)↸⪩⨒∯203330⇌⫙⪟⪩⨒∯111222)","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":337772,"operation_count":15,"complexity_ratio":22518.133333333335,"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":4668,"base":4}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":2507,"base":4},"right_expr":{"type":"numeric_atoms","value":4056,"base":4}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"numeric_atoms","value":3192,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":3632,"base":4},"right_expr":{"type":"numeric_atoms","value":1570,"base":4}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":2051,"base":4},"right_expr":{"type":"numeric_atoms","value":2362,"base":4}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8866,"base":4},"right_expr":{"type":"numeric_atoms","value":3975,"base":4}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":8374,"base":4}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2300,"base":4},"right_expr":{"type":"numeric_atoms","value":1386,"base":4}}}}},"used_operators":["nEsXyWgiOK","hyuBjUqXlG","EWw2JM7wp4","Dk5vyLCiGd","UMwdvZNt44","0kmYd0q39Y","waWucp1uQ4","Z57zeUYC9z","XIIwhv8d0m","w2537kitQq","xD69zh8xqp","KYD54nUTWz","1eCjFl0mb9","AvED76WdY7","AFVx7xoS7T"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","IWmyXbctLI","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","mp7IySMOzn","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","FU0Cs4j7VP","JclMnS0uGI","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","uBihLCJcMX","k8jYdgA6NY","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"⪩⨒∯-2232","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4668","layer":4},{"info":"compute unary expreesion, input=4668, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=9652","layer":3},{"info":"number node, value=2507","layer":4},{"info":"number node, value=4056","layer":4},{"info":"compute binary expreesion, left_input=2507, right_input=4056, 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=9652, 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=3192","layer":4},{"info":"compute unary expreesion, input=3192, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=6384","layer":3},{"info":"number node, value=3632","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=3632, right_input=1570, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=6384, right_input=9872, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=12768","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12768, 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=2051","layer":4},{"info":"number node, value=2362","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=2362, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-305790","layer":3},{"info":"number node, value=8866","layer":4},{"info":"number node, value=3975","layer":4},{"info":"compute binary expreesion, left_input=8866, right_input=3975, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-305790, 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":2},{"info":"number node, value=8374","layer":4},{"info":"compute unary expreesion, input=8374, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=49174","layer":3},{"info":"number node, value=2300","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=1386, 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=49174, right_input=113, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=49174","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=49174, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=-50, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1020330⨎⋸⪻)⪉⨛⪩⨒∯213023⇡⇂⪩⨒∯333120)⪛⫼(⪩⨒∯301320⩎⪣⊞)⩦(⪩⨒∯320300⨔≚≋⪩⨒∯120202))⨻⩈⩔((⪩⨒∯200003⪪⪩⨒∯210322)∛(⪩⨒∯2022202⫥∨⫟⪩⨒∯332013)⫌⩉⩟(⊵⊁⪩⨒∯2002312)↸⪩⨒∯203330⇌⫙⪟⪩⨒∯111222)=⪩⨒∯-2232","reverse_text":"⪩⨒∯-2232=(((⪩⨒∯1020330⨎⋸⪻)⪉⨛⪩⨒∯213023⇡⇂⪩⨒∯333120)⪛⫼(⪩⨒∯301320⩎⪣⊞)⩦(⪩⨒∯320300⨔≚≋⪩⨒∯120202))⨻⩈⩔((⪩⨒∯200003⪪⪩⨒∯210322)∛(⪩⨒∯2022202⫥∨⫟⪩⨒∯332013)⫌⩉⩟(⊵⊁⪩⨒∯2002312)↸⪩⨒∯203330⇌⫙⪟⪩⨒∯111222)","cot":[{"info":"⪩⨒∯1020330⨎⋸⪻=⪩⨒∯2112310","layer":3},{"info":"⪩⨒∯213023⇡⇂⪩⨒∯333120=NaN","layer":3},{"info":"⪩⨒∯2112310⪉⨛NaN=NaN","layer":2},{"info":"⪩⨒∯301320⩎⪣⊞=⪩⨒∯1203300","layer":3},{"info":"⪩⨒∯320300⨔≚≋⪩⨒∯120202=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯1203300⩦⪩⨒∯2122100=⪩⨒∯3013200","layer":2},{"info":"NaN⪛⫼⪩⨒∯3013200=⪩⨒∯33020","layer":1},{"info":"⪩⨒∯200003⪪⪩⨒∯210322=⪩⨒∯-1022221332","layer":3},{"info":"⪩⨒∯2022202⫥∨⫟⪩⨒∯332013=NaN","layer":3},{"info":"⪩⨒∯-1022221332∛NaN=⪩⨒∯1003","layer":2},{"info":"⊵⊁⪩⨒∯2002312=⪩⨒∯30000112","layer":3},{"info":"⪩⨒∯203330⇌⫙⪟⪩⨒∯111222=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯30000112↸⪩⨒∯1301=⪩⨒∯30000112","layer":2},{"info":"⪩⨒∯1003⫌⩉⩟⪩⨒∯30000112=⪩⨒∯-302","layer":1},{"info":"⪩⨒∯33020⨻⩈⩔⪩⨒∯-302=⪩⨒∯-2232","layer":0}]}
{"id":760,"expression_no_base_symbol":"(⫇(≪$1002$))⪝(($2895$⩵∡$6486$)⊔$4019$⇷$7848$)⫠↝⫳","expression":"(⫇(≪⪩⨒∯33222))⪝((⪩⨒∯231033⩵∡⪩⨒∯1211112)⊔⪩⨒∯332303⇷⪩⨒∯1322220)⫠↝⫳","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":56788,"operation_count":7,"complexity_ratio":8112.571428571428,"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":1002,"base":4}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":2895,"base":4},"right_expr":{"type":"numeric_atoms","value":6486,"base":4}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4019,"base":4},"right_expr":{"type":"numeric_atoms","value":7848,"base":4}}}}},"used_operators":["8n5YIzOsVS","wicAB68Tmb","YjI8oCXuph","Qtd6bqUJcN","E4l6HwMY31","Y7wcNGrDQJ","mp7IySMOzn"],"dependent_operators":["9FxExcQeMw","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","NTOWxs364D","glklzrTFfD","tifHPKVTfV","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪩⨒∯1333233","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":3},{"info":"compute unary expreesion, input=913, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-612","layer":2},{"info":"number node, value=2895","layer":4},{"info":"number node, value=6486","layer":4},{"info":"compute binary expreesion, left_input=2895, right_input=6486, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=575","layer":3},{"info":"number node, value=4019","layer":4},{"info":"number node, value=7848","layer":4},{"info":"compute binary expreesion, left_input=4019, right_input=7848, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15696","layer":3},{"info":"compute binary expreesion, left_input=575, right_input=15696, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=77230","layer":2},{"info":"compute binary expreesion, left_input=-612, right_input=77230, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=236","layer":1},{"info":"compute unary expreesion, input=236, op_id = 8n5YIzOsVS, unary_op_definition = 'a⫠↝⫳ = { (((a⨸⪁a)⩷∴(⩦⩻⨪a))⫡⨏a) }', output=8175","layer":0}],"base":4,"result_base":4,"text":"(⫇(≪⪩⨒∯33222))⪝((⪩⨒∯231033⩵∡⪩⨒∯1211112)⊔⪩⨒∯332303⇷⪩⨒∯1322220)⫠↝⫳=⪩⨒∯1333233","reverse_text":"⪩⨒∯1333233=(⫇(≪⪩⨒∯33222))⪝((⪩⨒∯231033⩵∡⪩⨒∯1211112)⊔⪩⨒∯332303⇷⪩⨒∯1322220)⫠↝⫳","cot":[{"info":"≪⪩⨒∯33222=⪩⨒∯32101","layer":3},{"info":"⫇⪩⨒∯32101=⪩⨒∯-21210","layer":2},{"info":"⪩⨒∯231033⩵∡⪩⨒∯1211112=⪩⨒∯20333","layer":3},{"info":"⪩⨒∯332303⇷⪩⨒∯1322220=⪩⨒∯3311100","layer":3},{"info":"⪩⨒∯20333⊔⪩⨒∯3311100=⪩⨒∯102312232","layer":2},{"info":"⪩⨒∯-21210⪝⪩⨒∯102312232=⪩⨒∯3230","layer":1},{"info":"⪩⨒∯3230⫠↝⫳=⪩⨒∯1333233","layer":0}]}
{"id":761,"expression_no_base_symbol":"(∤↝$1225$∓⋝$1154$⊴$1096$∳⫺$2142$)≌((($3276$⪓⨏)⩱)↫)","expression":"(∤↝⪩⨒∯103021∓⋝⪩⨒∯102002⊴⪩⨒∯101020∳⫺⪩⨒∯201132)≌(((⪩⨒∯303030⪓⨏)⩱)↫)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30738,"operation_count":8,"complexity_ratio":3842.25,"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":1225,"base":4},"right_expr":{"type":"numeric_atoms","value":1154,"base":4}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1096,"base":4},"right_expr":{"type":"numeric_atoms","value":2142,"base":4}}}},"right_expr":{"type":"unary","operator":"↫","unary_expr":{"type":"unary","operator":"⩱","unary_expr":{"type":"unary","operator":"⪓⨏","unary_expr":{"type":"numeric_atoms","value":3276,"base":4}}}}},"used_operators":["lyWz822IDG","3UMq87Qwqg","Nsiff2A1zJ","PoHhknlbAi","AzXXKTstlj","uPb5QRN0te","uyq1hVkAcj","4X9JU4Jbn6"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","DpFCA1CohY","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","COABgblf1C","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ"],"result":"⪩⨒∯2120010","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1225","layer":4},{"info":"number node, value=1154","layer":4},{"info":"compute binary expreesion, left_input=1225, right_input=1154, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=2142","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=2142, 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=67, right_input=-260, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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=3276","layer":4},{"info":"compute unary expreesion, input=3276, 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 unary expreesion, input=nan, op_id = uyq1hVkAcj, unary_op_definition = 'a⩱ = { ((⋗⩬⋾(a⊭↱a))↺((a⨸⪁a)⪒(a⨸⪁125))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=160","layer":1},{"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":0}],"base":4,"result_base":4,"text":"(∤↝⪩⨒∯103021∓⋝⪩⨒∯102002⊴⪩⨒∯101020∳⫺⪩⨒∯201132)≌(((⪩⨒∯303030⪓⨏)⩱)↫)=⪩⨒∯2120010","reverse_text":"⪩⨒∯2120010=(∤↝⪩⨒∯103021∓⋝⪩⨒∯102002⊴⪩⨒∯101020∳⫺⪩⨒∯201132)≌(((⪩⨒∯303030⪓⨏)⩱)↫)","cot":[{"info":"⪩⨒∯103021∓⋝⪩⨒∯102002=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯101020∳⫺⪩⨒∯201132=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯1003⊴⪩⨒∯-10010=NaN","layer":2},{"info":"∤↝NaN=NaN","layer":1},{"info":"⪩⨒∯303030⪓⨏=NaN","layer":3},{"info":"NaN⩱=NaN","layer":2},{"info":"NaN↫=⪩⨒∯2200","layer":1},{"info":"NaN≌⪩⨒∯2200=⪩⨒∯2120010","layer":0}]}
{"id":762,"expression_no_base_symbol":"⊵⊁((↯⪼$1518$)⨚⇆($6728$∖$1510$)⇄($7914$↞⋁$3180$⫡⨏($5177$/$6804$)))","expression":"⊵⊁((↯⪼⪩⨒∯113232)⨚⇆(⪩⨒∯1221020∖⪩⨒∯113212)⇄(⪩⨒∯1323222↞⋁⪩⨒∯301230⫡⨏(⪩⨒∯1100321/⪩⨒∯1222110)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":699,"operation_count":8,"complexity_ratio":87.375,"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":1518,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":6728,"base":4},"right_expr":{"type":"numeric_atoms","value":1510,"base":4}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":7914,"base":4},"right_expr":{"type":"numeric_atoms","value":3180,"base":4}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5177,"base":4},"right_expr":{"type":"numeric_atoms","value":6804,"base":4}}}}},"used_operators":["AvED76WdY7","3EYGwJThht","lwHaAYXP2r","8jW3W4yZS5","tXD093vOjl","QMFrweE19q","RqrPlJkxDo","XhwjNDsVaA"],"dependent_operators":["uBihLCJcMX","k8jYdgA6NY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","W4YGzv6Whe","t8gj7n24qd","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1518","layer":4},{"info":"compute unary expreesion, input=1518, 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=6728","layer":4},{"info":"number node, value=1510","layer":4},{"info":"compute binary expreesion, left_input=6728, right_input=1510, 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=-21, 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":2},{"info":"number node, value=7914","layer":4},{"info":"number node, value=3180","layer":4},{"info":"compute binary expreesion, left_input=7914, right_input=3180, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=5177","layer":4},{"info":"number node, value=6804","layer":4},{"info":"compute binary expreesion, left_input=5177, right_input=6804, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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=nan, 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 = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⊵⊁((↯⪼⪩⨒∯113232)⨚⇆(⪩⨒∯1221020∖⪩⨒∯113212)⇄(⪩⨒∯1323222↞⋁⪩⨒∯301230⫡⨏(⪩⨒∯1100321/⪩⨒∯1222110)))=NaN","reverse_text":"NaN=⊵⊁((↯⪼⪩⨒∯113232)⨚⇆(⪩⨒∯1221020∖⪩⨒∯113212)⇄(⪩⨒∯1323222↞⋁⪩⨒∯301230⫡⨏(⪩⨒∯1100321/⪩⨒∯1222110)))","cot":[{"info":"↯⪼⪩⨒∯113232=⪩⨒∯-111","layer":3},{"info":"⪩⨒∯1221020∖⪩⨒∯113212=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-111⨚⇆⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯1323222↞⋁⪩⨒∯301230=NaN","layer":3},{"info":"⪩⨒∯1100321/⪩⨒∯1222110=⪩⨒∯0","layer":3},{"info":"NaN⫡⨏⪩⨒∯0=NaN","layer":2},{"info":"NaN⇄NaN=NaN","layer":1},{"info":"⊵⊁NaN=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"(≅≯⇸((∥⊫$1611$)⫲⨊))⊬⨰(⫯(($7562$↺$5499$)⩖⊿($2675$⪛$2268$)))","expression":"(≅≯⇸((∥⊫⪩⨒∯121023)⫲⨊))⊬⨰(⫯((⪩⨒∯1312022↺⪩⨒∯1111323)⩖⊿(⪩⨒∯221303⪛⪩⨒∯203130)))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":137,"operation_count":8,"complexity_ratio":17.125,"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":1611,"base":4}}}},"right_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7562,"base":4},"right_expr":{"type":"numeric_atoms","value":5499,"base":4}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2675,"base":4},"right_expr":{"type":"numeric_atoms","value":2268,"base":4}}}}},"used_operators":["s3Fd5m9Dh2","apS25hmuAe","CArV6hThFE","P8v4zCKN1o","H6BK1Evt7c","RZ5CV9rWsJ","7j4O788W3g","uFcxV4UQCh"],"dependent_operators":["23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","EBcxylXtPf","QMFrweE19q","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"⪩⨒∯13322000311","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2479","layer":3},{"info":"compute unary expreesion, input=2479, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=13178","layer":2},{"info":"compute unary expreesion, input=13178, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=60389","layer":1},{"info":"number node, value=7562","layer":4},{"info":"number node, value=5499","layer":4},{"info":"compute binary expreesion, left_input=7562, right_input=5499, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5499","layer":3},{"info":"number node, value=2675","layer":4},{"info":"number node, value=2268","layer":4},{"info":"compute binary expreesion, left_input=2675, right_input=2268, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=407","layer":3},{"info":"compute binary expreesion, left_input=5499, right_input=407, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-18822","layer":2},{"info":"compute unary expreesion, input=-18822, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=503324","layer":1},{"info":"compute binary expreesion, left_input=60389, right_input=503324, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=2072629","layer":0}],"base":4,"result_base":4,"text":"(≅≯⇸((∥⊫⪩⨒∯121023)⫲⨊))⊬⨰(⫯((⪩⨒∯1312022↺⪩⨒∯1111323)⩖⊿(⪩⨒∯221303⪛⪩⨒∯203130)))=⪩⨒∯13322000311","reverse_text":"⪩⨒∯13322000311=(≅≯⇸((∥⊫⪩⨒∯121023)⫲⨊))⊬⨰(⫯((⪩⨒∯1312022↺⪩⨒∯1111323)⩖⊿(⪩⨒∯221303⪛⪩⨒∯203130)))","cot":[{"info":"∥⊫⪩⨒∯121023=⪩⨒∯212233","layer":3},{"info":"⪩⨒∯212233⫲⨊=⪩⨒∯3031322","layer":2},{"info":"≅≯⇸⪩⨒∯3031322=⪩⨒∯32233211","layer":1},{"info":"⪩⨒∯1312022↺⪩⨒∯1111323=⪩⨒∯1111323","layer":3},{"info":"⪩⨒∯221303⪛⪩⨒∯203130=⪩⨒∯12113","layer":3},{"info":"⪩⨒∯1111323⩖⊿⪩⨒∯12113=⪩⨒∯-10212012","layer":2},{"info":"⫯⪩⨒∯-10212012=⪩⨒∯1322320130","layer":1},{"info":"⪩⨒∯32233211⊬⨰⪩⨒∯1322320130=⪩⨒∯13322000311","layer":0}]}
{"id":764,"expression_no_base_symbol":"⇖($1168$⪟⇏$2739$∓⋝$1837$≌$1277$⊨(($7393$↳∿⪆$4773$)⪚⩙≫))","expression":"⇖(⪩⨒∯102100⪟⇏⪩⨒∯222303∓⋝⪩⨒∯130231≌⪩⨒∯103331⊨((⪩⨒∯1303201↳∿⪆⪩⨒∯1022211)⪚⩙≫))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3937,"operation_count":7,"complexity_ratio":562.4285714285714,"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":1168,"base":4},"right_expr":{"type":"numeric_atoms","value":2739,"base":4}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1837,"base":4},"right_expr":{"type":"numeric_atoms","value":1277,"base":4}}},"right_expr":{"type":"unary","operator":"⪚⩙≫","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":7393,"base":4},"right_expr":{"type":"numeric_atoms","value":4773,"base":4}}}}},"used_operators":["tfWHHpNKUN","vg4gO5BX6G","PoHhknlbAi","GODebY97qR","lyWz822IDG","4n53wtyJvv","Cw4SuJJGHO"],"dependent_operators":["2DQ55sFlQl","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Uaa54Peajs","nCS4ZIUYfx","WR6HLWljOP","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"number node, value=2739","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=2739, 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=1837","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=1837, right_input=1277, 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=-1, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-361","layer":2},{"info":"number node, value=7393","layer":4},{"info":"number node, value=4773","layer":4},{"info":"compute binary expreesion, left_input=7393, right_input=4773, 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 = 4n53wtyJvv, unary_op_definition = 'a⪚⩙≫ = { ((316↢a)⨳⩥⨓(∂255)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-361, right_input=nan, 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 = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":0}],"base":4,"result_base":4,"text":"⇖(⪩⨒∯102100⪟⇏⪩⨒∯222303∓⋝⪩⨒∯130231≌⪩⨒∯103331⊨((⪩⨒∯1303201↳∿⪆⪩⨒∯1022211)⪚⩙≫))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=⇖(⪩⨒∯102100⪟⇏⪩⨒∯222303∓⋝⪩⨒∯130231≌⪩⨒∯103331⊨((⪩⨒∯1303201↳∿⪆⪩⨒∯1022211)⪚⩙≫))","cot":[{"info":"⪩⨒∯102100⪟⇏⪩⨒∯222303=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯130231≌⪩⨒∯103331=NaN","layer":3},{"info":"⪩⨒∯-1∓⋝NaN=⪩⨒∯-11221","layer":2},{"info":"⪩⨒∯1303201↳∿⪆⪩⨒∯1022211=NaN","layer":3},{"info":"NaN⪚⩙≫=NaN","layer":2},{"info":"⪩⨒∯-11221⊨NaN=NaN","layer":1},{"info":"⇖NaN=⪩⨒∯2200","layer":0}]}
{"id":765,"expression_no_base_symbol":"((∡$4985$⪇≇⋚$5935$)↹⊜($3809$∇⊂⋱$2141$⫚↹⊑$3803$↸$5603$))⨔⇊($3132$⪒⊣⊆$2111$⫲)⫞⩸⩒(⨑⩽⪐$1959$⊕∕$2865$)","expression":"((∡⪩⨒∯1031321⪇≇⋚⪩⨒∯1130233)↹⊜(⪩⨒∯323201∇⊂⋱⪩⨒∯201131⫚↹⊑⪩⨒∯323123↸⪩⨒∯1113203))⨔⇊(⪩⨒∯300330⪒⊣⊆⪩⨒∯200333⫲)⫞⩸⩒(⨑⩽⪐⪩⨒∯132213⊕∕⪩⨒∯230301)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3896,"operation_count":12,"complexity_ratio":324.6666666666667,"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":4985,"base":4},"right_expr":{"type":"numeric_atoms","value":5935,"base":4}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":3809,"base":4},"right_expr":{"type":"numeric_atoms","value":2141,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3803,"base":4},"right_expr":{"type":"numeric_atoms","value":5603,"base":4}}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3132,"base":4},"right_expr":{"type":"numeric_atoms","value":2111,"base":4}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1959,"base":4},"right_expr":{"type":"numeric_atoms","value":2865,"base":4}}}}},"used_operators":["JclMnS0uGI","9bazX3JMtO","pRsWfj4Fpp","3sJ7IOPOlU","dfKe02y8D2","nhYeJWJD5X","1eCjFl0mb9","XGcMNugi78","9xnGDUPbC6","eRqsBgTDFp","AF7qkfDlqP","9cloC0Ngie"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","sdazOOVcIp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf"],"result":"⪩⨒∯1131213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4985","layer":4},{"info":"number node, value=5935","layer":4},{"info":"compute binary expreesion, left_input=4985, right_input=5935, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=0","layer":2},{"info":"number node, value=3809","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=3809, right_input=2141, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=7072","layer":3},{"info":"number node, value=3803","layer":4},{"info":"number node, value=5603","layer":4},{"info":"compute binary expreesion, left_input=3803, right_input=5603, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3803","layer":3},{"info":"compute binary expreesion, left_input=7072, right_input=3803, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=3480","layer":1},{"info":"number node, value=3132","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=2111, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6264","layer":3},{"info":"compute unary expreesion, input=6264, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=5991","layer":2},{"info":"number node, value=1959","layer":4},{"info":"number node, value=2865","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=2865, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1959","layer":3},{"info":"compute unary expreesion, input=1959, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1686","layer":2},{"info":"compute binary expreesion, left_input=5991, right_input=-1686, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=5991","layer":1},{"info":"compute binary expreesion, left_input=3480, right_input=5991, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5991","layer":0}],"base":4,"result_base":4,"text":"((∡⪩⨒∯1031321⪇≇⋚⪩⨒∯1130233)↹⊜(⪩⨒∯323201∇⊂⋱⪩⨒∯201131⫚↹⊑⪩⨒∯323123↸⪩⨒∯1113203))⨔⇊(⪩⨒∯300330⪒⊣⊆⪩⨒∯200333⫲)⫞⩸⩒(⨑⩽⪐⪩⨒∯132213⊕∕⪩⨒∯230301)=⪩⨒∯1131213","reverse_text":"⪩⨒∯1131213=((∡⪩⨒∯1031321⪇≇⋚⪩⨒∯1130233)↹⊜(⪩⨒∯323201∇⊂⋱⪩⨒∯201131⫚↹⊑⪩⨒∯323123↸⪩⨒∯1113203))⨔⇊(⪩⨒∯300330⪒⊣⊆⪩⨒∯200333⫲)⫞⩸⩒(⨑⩽⪐⪩⨒∯132213⊕∕⪩⨒∯230301)","cot":[{"info":"⪩⨒∯1031321⪇≇⋚⪩⨒∯1130233=⪩⨒∯0","layer":3},{"info":"∡⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯323201∇⊂⋱⪩⨒∯201131=⪩⨒∯1232200","layer":3},{"info":"⪩⨒∯323123↸⪩⨒∯1113203=⪩⨒∯323123","layer":3},{"info":"⪩⨒∯1232200⫚↹⊑⪩⨒∯323123=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯0↹⊜⪩⨒∯-12333=⪩⨒∯312120","layer":1},{"info":"⪩⨒∯300330⪒⊣⊆⪩⨒∯200333=⪩⨒∯1201320","layer":3},{"info":"⪩⨒∯1201320⫲=⪩⨒∯1131213","layer":2},{"info":"⪩⨒∯132213⊕∕⪩⨒∯230301=⪩⨒∯132213","layer":3},{"info":"⨑⩽⪐⪩⨒∯132213=⪩⨒∯-122112","layer":2},{"info":"⪩⨒∯1131213⫞⩸⩒⪩⨒∯-122112=⪩⨒∯1131213","layer":1},{"info":"⪩⨒∯312120⨔⇊⪩⨒∯1131213=⪩⨒∯1131213","layer":0}]}
{"id":766,"expression_no_base_symbol":"($7572$∙∹∝$1193$)+⪬∐($6100$⫭)⪡($4662$⇤$5424$)≁($1565$⪹)⩤","expression":"(⪩⨒∯1312110∙∹∝⪩⨒∯102221)+⪬∐(⪩⨒∯1133110⫭)⪡(⪩⨒∯1020312⇤⪩⨒∯1110300)≁(⪩⨒∯120131⪹)⩤","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":129,"operation_count":8,"complexity_ratio":16.125,"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":7572,"base":4},"right_expr":{"type":"numeric_atoms","value":1193,"base":4}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"numeric_atoms","value":6100,"base":4}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4662,"base":4},"right_expr":{"type":"numeric_atoms","value":5424,"base":4}},"right_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1565,"base":4}}}}},"used_operators":["Z2TMIBDE3Q","oraRL2iQuh","2GS7woTJqF","HmxsFra2vL","t4WUHVGj7f","8N2wDY1A35","YSKBFp38Pu","B3sABdIn96"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","g55IO6H4Gj","D4vGDi5EA2","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","9FxExcQeMw","e1ybzncUwg","QMFrweE19q"],"result":"⪩⨒∯132100","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7572","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=7572, right_input=1193, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=6100","layer":4},{"info":"compute unary expreesion, input=6100, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=18541","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=18541, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=0","layer":2},{"info":"number node, value=4662","layer":4},{"info":"number node, value=5424","layer":4},{"info":"compute binary expreesion, left_input=4662, right_input=5424, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-47582","layer":3},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=7622","layer":3},{"info":"compute binary expreesion, left_input=-47582, right_input=7622, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=169727","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=169727, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":1},{"info":"compute unary expreesion, input=-1936, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1936","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1312110∙∹∝⪩⨒∯102221)+⪬∐(⪩⨒∯1133110⫭)⪡(⪩⨒∯1020312⇤⪩⨒∯1110300)≁(⪩⨒∯120131⪹)⩤=⪩⨒∯132100","reverse_text":"⪩⨒∯132100=(⪩⨒∯1312110∙∹∝⪩⨒∯102221)+⪬∐(⪩⨒∯1133110⫭)⪡(⪩⨒∯1020312⇤⪩⨒∯1110300)≁(⪩⨒∯120131⪹)⩤","cot":[{"info":"⪩⨒∯1312110∙∹∝⪩⨒∯102221=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1133110⫭=⪩⨒∯10201231","layer":3},{"info":"⪩⨒∯0+⪬∐⪩⨒∯10201231=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1020312⇤⪩⨒∯1110300=⪩⨒∯-23213132","layer":3},{"info":"⪩⨒∯120131⪹=⪩⨒∯1313012","layer":3},{"info":"⪩⨒∯-23213132≁⪩⨒∯1313012=⪩⨒∯221123333","layer":2},{"info":"⪩⨒∯0⪡⪩⨒∯221123333=⪩⨒∯-132100","layer":1},{"info":"⪩⨒∯-132100⩤=⪩⨒∯132100","layer":0}]}
{"id":767,"expression_no_base_symbol":"(($1057$∕⩚$4203$)⊹≧⊝)⨸(⩦⊞(⇠$2826$))⨳⩥⨓($1462$≃$1197$⫢⨠(∐⩳⋚$1176$))≳⇉(≑⋹($5607$⫦⪉$2591$))","expression":"((⪩⨒∯100201∕⩚⪩⨒∯1001223)⊹≧⊝)⨸(⩦⊞(⇠⪩⨒∯230022))⨳⩥⨓(⪩⨒∯112312≃⪩⨒∯102231⫢⨠(∐⩳⋚⪩⨒∯102120))≳⇉(≑⋹(⪩⨒∯1113213⫦⪉⪩⨒∯220133))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10243821,"operation_count":12,"complexity_ratio":853651.75,"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":1057,"base":4},"right_expr":{"type":"numeric_atoms","value":4203,"base":4}}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"unary","operator":"⇠","unary_expr":{"type":"numeric_atoms","value":2826,"base":4}}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1462,"base":4},"right_expr":{"type":"numeric_atoms","value":1197,"base":4}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1176,"base":4}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":5607,"base":4},"right_expr":{"type":"numeric_atoms","value":2591,"base":4}}}}},"used_operators":["nCS4ZIUYfx","KmoU8R5UQR","LxFB4K6j0n","z9ffQ9n5Zr","u7fv1HBiaC","18saOjeKKm","V0kx6qeWkN","xlXykHWxX1","YbVcJGFEVW","SL6IHkK8vl","6B9nyZLogK","wscyQdcy20"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"number node, value=4203","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=4203, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1060","layer":3},{"info":"compute unary expreesion, input=-1060, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=8226","layer":2},{"info":"number node, value=2826","layer":4},{"info":"compute unary expreesion, input=2826, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=-2584","layer":3},{"info":"compute unary expreesion, input=-2584, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-5224","layer":2},{"info":"compute binary expreesion, left_input=8226, right_input=-5224, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=16452","layer":1},{"info":"number node, value=1462","layer":4},{"info":"number node, value=1197","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=1197, 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=-5888","layer":3},{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=159193","layer":3},{"info":"compute binary expreesion, left_input=-5888, right_input=159193, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":2},{"info":"number node, value=5607","layer":4},{"info":"number node, value=2591","layer":4},{"info":"compute binary expreesion, left_input=5607, right_input=2591, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-6314","layer":3},{"info":"compute unary expreesion, input=-6314, 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=160, right_input=-766, 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=16452, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯100201∕⩚⪩⨒∯1001223)⊹≧⊝)⨸(⩦⊞(⇠⪩⨒∯230022))⨳⩥⨓(⪩⨒∯112312≃⪩⨒∯102231⫢⨠(∐⩳⋚⪩⨒∯102120))≳⇉(≑⋹(⪩⨒∯1113213⫦⪉⪩⨒∯220133))=NaN","reverse_text":"NaN=((⪩⨒∯100201∕⩚⪩⨒∯1001223)⊹≧⊝)⨸(⩦⊞(⇠⪩⨒∯230022))⨳⩥⨓(⪩⨒∯112312≃⪩⨒∯102231⫢⨠(∐⩳⋚⪩⨒∯102120))≳⇉(≑⋹(⪩⨒∯1113213⫦⪉⪩⨒∯220133))","cot":[{"info":"⪩⨒∯100201∕⩚⪩⨒∯1001223=⪩⨒∯-100210","layer":3},{"info":"⪩⨒∯-100210⊹≧⊝=⪩⨒∯2000202","layer":2},{"info":"⇠⪩⨒∯230022=⪩⨒∯-220120","layer":3},{"info":"⩦⊞⪩⨒∯-220120=⪩⨒∯-1101220","layer":2},{"info":"⪩⨒∯2000202⨸⪩⨒∯-1101220=⪩⨒∯10001010","layer":1},{"info":"⪩⨒∯112312≃⪩⨒∯102231=⪩⨒∯-1130000","layer":3},{"info":"∐⩳⋚⪩⨒∯102120=⪩⨒∯212313121","layer":3},{"info":"⪩⨒∯-1130000⫢⨠⪩⨒∯212313121=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1113213⫦⪉⪩⨒∯220133=⪩⨒∯-1202222","layer":3},{"info":"≑⋹⪩⨒∯-1202222=⪩⨒∯-23332","layer":2},{"info":"⪩⨒∯2200≳⇉⪩⨒∯-23332=NaN","layer":1},{"info":"⪩⨒∯10001010⨳⩥⨓NaN=NaN","layer":0}]}
{"id":768,"expression_no_base_symbol":"($2092$≄⊠$2220$)⪃⊛⇣($3229$⨽∌$1662$)⪝(($1355$⨳⩥⨓$2168$)⇗⋫)⋳⪒(($2530$-$2615$)⫲≸⪮$1383$∓⋝$3396$)∓⋝($1018$↢$5619$⫸⊐($4423$/$6712$))","expression":"(⪩⨒∯200230≄⊠⪩⨒∯202230)⪃⊛⇣(⪩⨒∯302131⨽∌⪩⨒∯121332)⪝((⪩⨒∯111023⨳⩥⨓⪩⨒∯201320)⇗⋫)⋳⪒((⪩⨒∯213202-⪩⨒∯220313)⫲≸⪮⪩⨒∯111213∓⋝⪩⨒∯311010)∓⋝(⪩⨒∯33322↢⪩⨒∯1113303⫸⊐(⪩⨒∯1011013/⪩⨒∯1220320))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1292,"operation_count":14,"complexity_ratio":92.28571428571429,"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":2092,"base":4},"right_expr":{"type":"numeric_atoms","value":2220,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":3229,"base":4},"right_expr":{"type":"numeric_atoms","value":1662,"base":4}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1355,"base":4},"right_expr":{"type":"numeric_atoms","value":2168,"base":4}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2530,"base":4},"right_expr":{"type":"numeric_atoms","value":2615,"base":4}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":1383,"base":4},"right_expr":{"type":"numeric_atoms","value":3396,"base":4}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1018,"base":4},"right_expr":{"type":"numeric_atoms","value":5619,"base":4}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4423,"base":4},"right_expr":{"type":"numeric_atoms","value":6712,"base":4}}}}},"used_operators":["12rbrZMWeM","wicAB68Tmb","rrgAzCduG9","vXNesLlMH1","9samAPKr6k","hpqmaQFPrd","nCS4ZIUYfx","PoHhknlbAi","P3lXMJvFrc","rysDP5nf3Z","mqXw5SEYmG","WR6HLWljOP","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rxpJgHHUmx","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2092","layer":4},{"info":"number node, value=2220","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=2220, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=40188","layer":3},{"info":"number node, value=3229","layer":4},{"info":"number node, value=1662","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=1662, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=40188, 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=1355","layer":4},{"info":"number node, value=2168","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=2168, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=813","layer":3},{"info":"compute unary expreesion, input=813, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1234, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":1},{"info":"number node, value=2530","layer":4},{"info":"number node, value=2615","layer":4},{"info":"compute binary expreesion, left_input=2530, right_input=2615, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-85","layer":3},{"info":"number node, value=1383","layer":4},{"info":"number node, value=3396","layer":4},{"info":"compute binary expreesion, left_input=1383, right_input=3396, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-85, right_input=67, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=85","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=5619","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=5619, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=534","layer":3},{"info":"number node, value=4423","layer":4},{"info":"number node, value=6712","layer":4},{"info":"compute binary expreesion, left_input=4423, right_input=6712, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=534, 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=85, right_input=-125, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=95","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=95, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯200230≄⊠⪩⨒∯202230)⪃⊛⇣(⪩⨒∯302131⨽∌⪩⨒∯121332)⪝((⪩⨒∯111023⨳⩥⨓⪩⨒∯201320)⇗⋫)⋳⪒((⪩⨒∯213202-⪩⨒∯220313)⫲≸⪮⪩⨒∯111213∓⋝⪩⨒∯311010)∓⋝(⪩⨒∯33322↢⪩⨒∯1113303⫸⊐(⪩⨒∯1011013/⪩⨒∯1220320))=NaN","reverse_text":"NaN=(⪩⨒∯200230≄⊠⪩⨒∯202230)⪃⊛⇣(⪩⨒∯302131⨽∌⪩⨒∯121332)⪝((⪩⨒∯111023⨳⩥⨓⪩⨒∯201320)⇗⋫)⋳⪒((⪩⨒∯213202-⪩⨒∯220313)⫲≸⪮⪩⨒∯111213∓⋝⪩⨒∯311010)∓⋝(⪩⨒∯33322↢⪩⨒∯1113303⫸⊐(⪩⨒∯1011013/⪩⨒∯1220320))","cot":[{"info":"⪩⨒∯200230≄⊠⪩⨒∯202230=⪩⨒∯21303330","layer":3},{"info":"⪩⨒∯302131⨽∌⪩⨒∯121332=⪩⨒∯0","layer":3},{"info":"⪩⨒∯21303330⪃⊛⇣⪩⨒∯0=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯111023⨳⩥⨓⪩⨒∯201320=⪩⨒∯30231","layer":3},{"info":"⪩⨒∯30231⇗⋫=NaN","layer":2},{"info":"⪩⨒∯103102⪝NaN=NaN","layer":1},{"info":"⪩⨒∯213202-⪩⨒∯220313=⪩⨒∯-1111","layer":3},{"info":"⪩⨒∯111213∓⋝⪩⨒∯311010=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯-1111⫲≸⪮⪩⨒∯1003=⪩⨒∯1111","layer":2},{"info":"⪩⨒∯33322↢⪩⨒∯1113303=⪩⨒∯20112","layer":3},{"info":"⪩⨒∯1011013/⪩⨒∯1220320=⪩⨒∯0","layer":3},{"info":"⪩⨒∯20112⫸⊐⪩⨒∯0=⪩⨒∯-1331","layer":2},{"info":"⪩⨒∯1111∓⋝⪩⨒∯-1331=⪩⨒∯1133","layer":1},{"info":"NaN⋳⪒⪩⨒∯1133=NaN","layer":0}]}
{"id":769,"expression_no_base_symbol":"(⊖$1057$⫉⨲⊜$2033$)⇌⫙⪟$1745$⇻⋧≁$1245$⫞⩸⩒($1729$≬⇓$5170$)∖($5314$⪭≯$4743$)⪘⫢($3358$⪉⨛$1240$)⨳⩥⨓($1702$⇴$3639$)⨿($9009$∣$5290$)","expression":"(⊖⪩⨒∯100201⫉⨲⊜⪩⨒∯133301)⇌⫙⪟⪩⨒∯123101⇻⋧≁⪩⨒∯103131⫞⩸⩒(⪩⨒∯123001≬⇓⪩⨒∯1100302)∖(⪩⨒∯1103002⪭≯⪩⨒∯1022013)⪘⫢(⪩⨒∯310132⪉⨛⪩⨒∯103120)⨳⩥⨓(⪩⨒∯122212⇴⪩⨒∯320313)⨿(⪩⨒∯2030301∣⪩⨒∯1102222)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2465,"operation_count":14,"complexity_ratio":176.07142857142858,"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":1057,"base":4},"right_expr":{"type":"numeric_atoms","value":2033,"base":4}}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1745,"base":4},"right_expr":{"type":"numeric_atoms","value":1245,"base":4}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1729,"base":4},"right_expr":{"type":"numeric_atoms","value":5170,"base":4}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":5314,"base":4},"right_expr":{"type":"numeric_atoms","value":4743,"base":4}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":3358,"base":4},"right_expr":{"type":"numeric_atoms","value":1240,"base":4}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1702,"base":4},"right_expr":{"type":"numeric_atoms","value":3639,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":9009,"base":4},"right_expr":{"type":"numeric_atoms","value":5290,"base":4}}}}},"used_operators":["tXD093vOjl","AFVx7xoS7T","U6pG0PXrV3","WhqkvtTD3t","XGcMNugi78","jCPkEVoL5K","jWTQ2TZYIH","nCS4ZIUYfx","oacrs7FA3X","XAx5wpdLa6","EWw2JM7wp4","abYXlopdE0","4JB6nKBMSY","PPChnnnBFF"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","eewbuw0ToL","zVYPLywUTj","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1057","layer":4},{"info":"number node, value=2033","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=2033, 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 = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":2},{"info":"number node, value=1745","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1245, 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=1729","layer":4},{"info":"number node, value=5170","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=5170, 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=-447, right_input=-22, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = AFVx7xoS7T binary_op_definition= 'a⇌⫙⪟b = { (⨞⊢(a⇼⇔∾(a⋳⪒a))) , if (⨞⊢b)<133 ; ((a⋳⪒(b⨰261))⇼⇔∾((⋗⩬⋾b)⊉≛↸(a⨵⪆75))) , else }', output=2271","layer":1},{"info":"number node, value=5314","layer":4},{"info":"number node, value=4743","layer":4},{"info":"compute binary expreesion, left_input=5314, right_input=4743, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=3358","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=3358, right_input=1240, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=9049","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9049, 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=1702","layer":4},{"info":"number node, value=3639","layer":4},{"info":"compute binary expreesion, left_input=1702, right_input=3639, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=17104","layer":3},{"info":"number node, value=9009","layer":4},{"info":"number node, value=5290","layer":4},{"info":"compute binary expreesion, left_input=9009, right_input=5290, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=9009","layer":3},{"info":"compute binary expreesion, left_input=17104, right_input=9009, 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=nan, right_input=-319, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2271, 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":4,"result_base":4,"text":"(⊖⪩⨒∯100201⫉⨲⊜⪩⨒∯133301)⇌⫙⪟⪩⨒∯123101⇻⋧≁⪩⨒∯103131⫞⩸⩒(⪩⨒∯123001≬⇓⪩⨒∯1100302)∖(⪩⨒∯1103002⪭≯⪩⨒∯1022013)⪘⫢(⪩⨒∯310132⪉⨛⪩⨒∯103120)⨳⩥⨓(⪩⨒∯122212⇴⪩⨒∯320313)⨿(⪩⨒∯2030301∣⪩⨒∯1102222)=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⊖⪩⨒∯100201⫉⨲⊜⪩⨒∯133301)⇌⫙⪟⪩⨒∯123101⇻⋧≁⪩⨒∯103131⫞⩸⩒(⪩⨒∯123001≬⇓⪩⨒∯1100302)∖(⪩⨒∯1103002⪭≯⪩⨒∯1022013)⪘⫢(⪩⨒∯310132⪉⨛⪩⨒∯103120)⨳⩥⨓(⪩⨒∯122212⇴⪩⨒∯320313)⨿(⪩⨒∯2030301∣⪩⨒∯1102222)","cot":[{"info":"⪩⨒∯100201⫉⨲⊜⪩⨒∯133301=⪩⨒∯0","layer":3},{"info":"⊖⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯123101⇻⋧≁⪩⨒∯103131=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯123001≬⇓⪩⨒∯1100302=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯-12333⫞⩸⩒⪩⨒∯-112=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯0⇌⫙⪟⪩⨒∯-12333=⪩⨒∯203133","layer":1},{"info":"⪩⨒∯1103002⪭≯⪩⨒∯1022013=NaN","layer":3},{"info":"⪩⨒∯310132⪉⨛⪩⨒∯103120=⪩⨒∯2031121","layer":3},{"info":"NaN⪘⫢⪩⨒∯2031121=NaN","layer":2},{"info":"⪩⨒∯122212⇴⪩⨒∯320313=⪩⨒∯10023100","layer":3},{"info":"⪩⨒∯2030301∣⪩⨒∯1102222=⪩⨒∯2030301","layer":3},{"info":"⪩⨒∯10023100⨿⪩⨒∯2030301=⪩⨒∯-10333","layer":2},{"info":"NaN⨳⩥⨓⪩⨒∯-10333=NaN","layer":1},{"info":"⪩⨒∯203133∖NaN=⪩⨒∯0","layer":0}]}
{"id":770,"expression_no_base_symbol":"⊿($1043$⊿∆)⊝⪿⪼($1011$≎⊠⪸$5316$)⪒(≅≯⇸$2698$)⨔≚≋($4969$⫻⋑⊟)","expression":"⊿(⪩⨒∯100103⊿∆)⊝⪿⪼(⪩⨒∯33303≎⊠⪸⪩⨒∯1103010)⪒(≅≯⇸⪩⨒∯222022)⨔≚≋(⪩⨒∯1031221⫻⋑⊟)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":397,"operation_count":8,"complexity_ratio":49.625,"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":1043,"base":4}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1011,"base":4},"right_expr":{"type":"numeric_atoms","value":5316,"base":4}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2698,"base":4}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":4969,"base":4}}}}},"used_operators":["DO4fhlbJSI","f6k1SAg4EE","3Oe9XWJUTD","fv3ZujxkQL","bJkvcejdHO","Z57zeUYC9z","apS25hmuAe","o575Zjdmzy"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","EBcxylXtPf","QMFrweE19q","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI"],"result":"⪩⨒∯-31022312","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-2207","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=5316","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=5316, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=261376","layer":3},{"info":"compute binary expreesion, left_input=-2207, right_input=261376, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-23173","layer":2},{"info":"number node, value=2698","layer":4},{"info":"compute unary expreesion, input=2698, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=18469","layer":3},{"info":"number node, value=4969","layer":4},{"info":"compute unary expreesion, input=4969, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-9428","layer":3},{"info":"compute binary expreesion, left_input=18469, right_input=-9428, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=-23173, right_input=9872, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=13301","layer":1},{"info":"compute unary expreesion, input=13301, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-53942","layer":0}],"base":4,"result_base":4,"text":"⊿(⪩⨒∯100103⊿∆)⊝⪿⪼(⪩⨒∯33303≎⊠⪸⪩⨒∯1103010)⪒(≅≯⇸⪩⨒∯222022)⨔≚≋(⪩⨒∯1031221⫻⋑⊟)=⪩⨒∯-31022312","reverse_text":"⪩⨒∯-31022312=⊿(⪩⨒∯100103⊿∆)⊝⪿⪼(⪩⨒∯33303≎⊠⪸⪩⨒∯1103010)⪒(≅≯⇸⪩⨒∯222022)⨔≚≋(⪩⨒∯1031221⫻⋑⊟)","cot":[{"info":"⪩⨒∯100103⊿∆=⪩⨒∯-202133","layer":3},{"info":"⪩⨒∯33303≎⊠⪸⪩⨒∯1103010=⪩⨒∯333310000","layer":3},{"info":"⪩⨒∯-202133⊝⪿⪼⪩⨒∯333310000=⪩⨒∯-11222011","layer":2},{"info":"≅≯⇸⪩⨒∯222022=⪩⨒∯10200211","layer":3},{"info":"⪩⨒∯1031221⫻⋑⊟=⪩⨒∯-2103110","layer":3},{"info":"⪩⨒∯10200211⨔≚≋⪩⨒∯-2103110=⪩⨒∯2122100","layer":2},{"info":"⪩⨒∯-11222011⪒⪩⨒∯2122100=⪩⨒∯3033311","layer":1},{"info":"⊿⪩⨒∯3033311=⪩⨒∯-31022312","layer":0}]}
{"id":771,"expression_no_base_symbol":"(⋗⩬⋾($1473$⋻⩜⩜$1711$)⊲⩕⊾$5136$⨽∌$1462$)≥⨤⩑(↨(⋣$3227$))⊋≦⊧($2119$⊋$2334$)⋛($4611$⩹$8014$)","expression":"(⋗⩬⋾(⪩⨒∯113001⋻⩜⩜⪩⨒∯122233)⊲⩕⊾⪩⨒∯1100100⨽∌⪩⨒∯112312)≥⨤⩑(↨(⋣⪩⨒∯302123))⊋≦⊧(⪩⨒∯201013⊋⪩⨒∯210132)⋛(⪩⨒∯1020003⩹⪩⨒∯1331032)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25053,"operation_count":11,"complexity_ratio":2277.5454545454545,"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":1473,"base":4},"right_expr":{"type":"numeric_atoms","value":1711,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":5136,"base":4},"right_expr":{"type":"numeric_atoms","value":1462,"base":4}}}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":3227,"base":4}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2119,"base":4},"right_expr":{"type":"numeric_atoms","value":2334,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":4611,"base":4},"right_expr":{"type":"numeric_atoms","value":8014,"base":4}}}}},"used_operators":["gJLn6v0xnP","DpFCA1CohY","DmTXOeWf9t","oDCm7WA9JY","9samAPKr6k","oRDoc9rAEX","jiX4gk2v2Q","zQWRhDnn8F","YbUVn0Rbpy","W4tP9CfskL","2Wsdkap16l"],"dependent_operators":["mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rGHVDoGpnC","oZj3VtZNQx","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx"],"result":"⪩⨒∯103102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1473","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=1711, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2946","layer":3},{"info":"number node, value=5136","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=5136, right_input=1462, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2946, right_input=0, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-38606","layer":2},{"info":"compute unary expreesion, input=-38606, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=115818","layer":1},{"info":"number node, value=3227","layer":4},{"info":"compute unary expreesion, input=3227, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-948643","layer":3},{"info":"compute unary expreesion, input=-948643, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"number node, value=2119","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=2334, 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=-3172928","layer":3},{"info":"number node, value=4611","layer":4},{"info":"number node, value=8014","layer":4},{"info":"compute binary expreesion, left_input=4611, right_input=8014, 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=8012","layer":3},{"info":"compute binary expreesion, left_input=-3172928, right_input=8012, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=-133791, 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":"compute binary expreesion, left_input=115818, right_input=nan, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":0}],"base":4,"result_base":4,"text":"(⋗⩬⋾(⪩⨒∯113001⋻⩜⩜⪩⨒∯122233)⊲⩕⊾⪩⨒∯1100100⨽∌⪩⨒∯112312)≥⨤⩑(↨(⋣⪩⨒∯302123))⊋≦⊧(⪩⨒∯201013⊋⪩⨒∯210132)⋛(⪩⨒∯1020003⩹⪩⨒∯1331032)=⪩⨒∯103102","reverse_text":"⪩⨒∯103102=(⋗⩬⋾(⪩⨒∯113001⋻⩜⩜⪩⨒∯122233)⊲⩕⊾⪩⨒∯1100100⨽∌⪩⨒∯112312)≥⨤⩑(↨(⋣⪩⨒∯302123))⊋≦⊧(⪩⨒∯201013⊋⪩⨒∯210132)⋛(⪩⨒∯1020003⩹⪩⨒∯1331032)","cot":[{"info":"⪩⨒∯113001⋻⩜⩜⪩⨒∯122233=⪩⨒∯232002","layer":3},{"info":"⪩⨒∯1100100⨽∌⪩⨒∯112312=⪩⨒∯0","layer":3},{"info":"⪩⨒∯232002⊲⩕⊾⪩⨒∯0=⪩⨒∯-21123032","layer":2},{"info":"⋗⩬⋾⪩⨒∯-21123032=⪩⨒∯130101222","layer":1},{"info":"⋣⪩⨒∯302123=⪩⨒∯-3213212203","layer":3},{"info":"↨⪩⨒∯-3213212203=NaN","layer":2},{"info":"⪩⨒∯201013⊋⪩⨒∯210132=⪩⨒∯-30012221000","layer":3},{"info":"⪩⨒∯1020003⩹⪩⨒∯1331032=⪩⨒∯1331030","layer":3},{"info":"⪩⨒∯-30012221000⋛⪩⨒∯1331030=⪩⨒∯-200222133","layer":2},{"info":"NaN⊋≦⊧⪩⨒∯-200222133=NaN","layer":1},{"info":"⪩⨒∯130101222≥⨤⩑NaN=⪩⨒∯103102","layer":0}]}
{"id":772,"expression_no_base_symbol":"(($1128$⨎$4057$)∼(⊗$4102$)⊋≦⊧((↯⪼$1680$)⇮⋭$3052$⇌⫙⪟$3357$))⪍↜⋙(⩒∊($1319$⫒⫫$2543$))⇡⇂(($2780$∠↢$4343$)∝$2691$⪭$1318$)","expression":"((⪩⨒∯101220⨎⪩⨒∯333121)∼(⊗⪩⨒∯1000012)⊋≦⊧((↯⪼⪩⨒∯122100)⇮⋭⪩⨒∯233230⇌⫙⪟⪩⨒∯310131))⪍↜⋙(⩒∊(⪩⨒∯110213⫒⫫⪩⨒∯213233))⇡⇂((⪩⨒∯223130∠↢⪩⨒∯1003313)∝⪩⨒∯222003⪭⪩⨒∯110212)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":414410,"operation_count":14,"complexity_ratio":29600.714285714286,"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":1128,"base":4},"right_expr":{"type":"numeric_atoms","value":4057,"base":4}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":4102,"base":4}}},"right_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1680,"base":4}},"right_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":3052,"base":4},"right_expr":{"type":"numeric_atoms","value":3357,"base":4}}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":1319,"base":4},"right_expr":{"type":"numeric_atoms","value":2543,"base":4}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":2780,"base":4},"right_expr":{"type":"numeric_atoms","value":4343,"base":4}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":2691,"base":4},"right_expr":{"type":"numeric_atoms","value":1318,"base":4}}}}},"used_operators":["L05ObWFQCd","oRDoc9rAEX","DyGG3AbaNP","rJVOvQCfKK","RhiyfpczSx","vkpjKywKVM","8jW3W4yZS5","AFVx7xoS7T","UMwdvZNt44","qazvmhNBbN","6Ko8hGgeMq","cTDWOvIxvz","KbjG8mgYpV","j9kHMeSvPp"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","COABgblf1C","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1128","layer":4},{"info":"number node, value=4057","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=4057, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4057","layer":3},{"info":"number node, value=4102","layer":4},{"info":"compute unary expreesion, input=4102, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-8204","layer":3},{"info":"compute binary expreesion, left_input=4057, right_input=-8204, 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=1680","layer":4},{"info":"compute unary expreesion, input=1680, 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=3052","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=3357, 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=-21, 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=nan, right_input=87801, 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=1319","layer":4},{"info":"number node, value=2543","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=2543, 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 = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=nan","layer":2},{"info":"number node, value=2780","layer":4},{"info":"number node, value=4343","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=4343, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-70840","layer":3},{"info":"number node, value=2691","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=1318, 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=-70840, right_input=5, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-70835","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-70835, 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=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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯101220⨎⪩⨒∯333121)∼(⊗⪩⨒∯1000012)⊋≦⊧((↯⪼⪩⨒∯122100)⇮⋭⪩⨒∯233230⇌⫙⪟⪩⨒∯310131))⪍↜⋙(⩒∊(⪩⨒∯110213⫒⫫⪩⨒∯213233))⇡⇂((⪩⨒∯223130∠↢⪩⨒∯1003313)∝⪩⨒∯222003⪭⪩⨒∯110212)=NaN","reverse_text":"NaN=((⪩⨒∯101220⨎⪩⨒∯333121)∼(⊗⪩⨒∯1000012)⊋≦⊧((↯⪼⪩⨒∯122100)⇮⋭⪩⨒∯233230⇌⫙⪟⪩⨒∯310131))⪍↜⋙(⩒∊(⪩⨒∯110213⫒⫫⪩⨒∯213233))⇡⇂((⪩⨒∯223130∠↢⪩⨒∯1003313)∝⪩⨒∯222003⪭⪩⨒∯110212)","cot":[{"info":"⪩⨒∯101220⨎⪩⨒∯333121=⪩⨒∯333121","layer":3},{"info":"⊗⪩⨒∯1000012=⪩⨒∯-2000030","layer":3},{"info":"⪩⨒∯333121∼⪩⨒∯-2000030=NaN","layer":2},{"info":"↯⪼⪩⨒∯122100=⪩⨒∯-111","layer":3},{"info":"⪩⨒∯233230⇌⫙⪟⪩⨒∯310131=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯-111⇮⋭⪩⨒∯1301=⪩⨒∯111123321","layer":2},{"info":"NaN⊋≦⊧⪩⨒∯111123321=NaN","layer":1},{"info":"⪩⨒∯110213⫒⫫⪩⨒∯213233=NaN","layer":3},{"info":"⩒∊NaN=NaN","layer":2},{"info":"⪩⨒∯223130∠↢⪩⨒∯1003313=⪩⨒∯-101102320","layer":3},{"info":"⪩⨒∯222003⪭⪩⨒∯110212=⪩⨒∯11","layer":3},{"info":"⪩⨒∯-101102320∝⪩⨒∯11=⪩⨒∯-101102303","layer":2},{"info":"NaN⇡⇂⪩⨒∯-101102303=NaN","layer":1},{"info":"NaN⪍↜⋙NaN=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"($5994$⨎$7100$)⫁($2670$⩘$2192$)∴($7971$⫁$1663$⊍⩺⋍(⨵≀≌$3195$))∳⫺(($2142$⊬⨰$2287$⊠≄⫣)⋝⋈⪟($2611$≠≀$7842$)⪝($3715$⋛$3052$))","expression":"(⪩⨒∯1131222⨎⪩⨒∯1232330)⫁(⪩⨒∯221232⩘⪩⨒∯202100)∴(⪩⨒∯1330203⫁⪩⨒∯121333⊍⩺⋍(⨵≀≌⪩⨒∯301323))∳⫺((⪩⨒∯201132⊬⨰⪩⨒∯203233⊠≄⫣)⋝⋈⪟(⪩⨒∯220303≠≀⪩⨒∯1322202)⪝(⪩⨒∯322003⋛⪩⨒∯233230))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":1284,"operation_count":14,"complexity_ratio":91.71428571428571,"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":5994,"base":4},"right_expr":{"type":"numeric_atoms","value":7100,"base":4}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":2670,"base":4},"right_expr":{"type":"numeric_atoms","value":2192,"base":4}}},"right_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":7971,"base":4},"right_expr":{"type":"numeric_atoms","value":1663,"base":4}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3195,"base":4}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":2142,"base":4},"right_expr":{"type":"numeric_atoms","value":2287,"base":4}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2611,"base":4},"right_expr":{"type":"numeric_atoms","value":7842,"base":4}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":3715,"base":4},"right_expr":{"type":"numeric_atoms","value":3052,"base":4}}}}},"used_operators":["AzXXKTstlj","hrf7POJlIJ","0ajvFaJAv0","rJVOvQCfKK","cHh1gJQ2o6","OXDGMFPWZM","srAu1WTS94","2DDjHMKMc0","DIvbN7qnHd","s3Fd5m9Dh2","wicAB68Tmb","IwW236VD4Y","YbUVn0Rbpy"],"dependent_operators":["F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","cHh1gJQ2o6","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"⪩⨒∯-10010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5994","layer":4},{"info":"number node, value=7100","layer":4},{"info":"compute binary expreesion, left_input=5994, right_input=7100, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7100","layer":3},{"info":"number node, value=2670","layer":4},{"info":"number node, value=2192","layer":4},{"info":"compute binary expreesion, left_input=2670, right_input=2192, 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=7100, right_input=160, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"number node, value=7971","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=7971, right_input=1663, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=3195","layer":4},{"info":"compute unary expreesion, input=3195, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9585","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-9585, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1968","layer":1},{"info":"number node, value=2142","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=2142, right_input=2287, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=10234","layer":3},{"info":"compute unary expreesion, input=10234, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=2611","layer":4},{"info":"number node, value=7842","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=7842, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4916","layer":3},{"info":"number node, value=3715","layer":4},{"info":"number node, value=3052","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=3052, 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=-98757","layer":3},{"info":"compute binary expreesion, left_input=-4916, right_input=-98757, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-375763","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-375763, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1968, right_input=0, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1131222⨎⪩⨒∯1232330)⫁(⪩⨒∯221232⩘⪩⨒∯202100)∴(⪩⨒∯1330203⫁⪩⨒∯121333⊍⩺⋍(⨵≀≌⪩⨒∯301323))∳⫺((⪩⨒∯201132⊬⨰⪩⨒∯203233⊠≄⫣)⋝⋈⪟(⪩⨒∯220303≠≀⪩⨒∯1322202)⪝(⪩⨒∯322003⋛⪩⨒∯233230))=⪩⨒∯-10010","reverse_text":"⪩⨒∯-10010=(⪩⨒∯1131222⨎⪩⨒∯1232330)⫁(⪩⨒∯221232⩘⪩⨒∯202100)∴(⪩⨒∯1330203⫁⪩⨒∯121333⊍⩺⋍(⨵≀≌⪩⨒∯301323))∳⫺((⪩⨒∯201132⊬⨰⪩⨒∯203233⊠≄⫣)⋝⋈⪟(⪩⨒∯220303≠≀⪩⨒∯1322202)⪝(⪩⨒∯322003⋛⪩⨒∯233230))","cot":[{"info":"⪩⨒∯1131222⨎⪩⨒∯1232330=⪩⨒∯1232330","layer":3},{"info":"⪩⨒∯221232⩘⪩⨒∯202100=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1232330⫁⪩⨒∯2200=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1330203⫁⪩⨒∯121333=⪩⨒∯2200","layer":3},{"info":"⨵≀≌⪩⨒∯301323=⪩⨒∯-2111301","layer":3},{"info":"⪩⨒∯2200⊍⩺⋍⪩⨒∯-2111301=NaN","layer":2},{"info":"⪩⨒∯2200∴NaN=⪩⨒∯132300","layer":1},{"info":"⪩⨒∯201132⊬⨰⪩⨒∯203233=⪩⨒∯2133322","layer":3},{"info":"⪩⨒∯2133322⊠≄⫣=⪩⨒∯0","layer":2},{"info":"⪩⨒∯220303≠≀⪩⨒∯1322202=⪩⨒∯-1030310","layer":3},{"info":"⪩⨒∯322003⋛⪩⨒∯233230=⪩⨒∯-120013011","layer":3},{"info":"⪩⨒∯-1030310⪝⪩⨒∯-120013011=⪩⨒∯-1123233103","layer":2},{"info":"⪩⨒∯0⋝⋈⪟⪩⨒∯-1123233103=⪩⨒∯0","layer":1},{"info":"⪩⨒∯132300∳⫺⪩⨒∯0=⪩⨒∯-10010","layer":0}]}
{"id":774,"expression_no_base_symbol":"(≦∁($1345$⋷$1067$))⨂≜((∜⨇$2426$)⨰$1010$⊕∕$4458$)↼⊘⨖($3876$⪝$4017$⇪⋭)⨑⩅≇($6979$↳∿⪆$3080$≳⇉$1435$∳⫺$3173$)","expression":"(≦∁(⪩⨒∯111001⋷⪩⨒∯100223))⨂≜((∜⨇⪩⨒∯211322)⨰⪩⨒∯33302⊕∕⪩⨒∯1011222)↼⊘⨖(⪩⨒∯330210⪝⪩⨒∯332301⇪⋭)⨑⩅≇(⪩⨒∯1231003↳∿⪆⪩⨒∯300020≳⇉⪩⨒∯112123∳⫺⪩⨒∯301211)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4684,"operation_count":13,"complexity_ratio":360.3076923076923,"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":1345,"base":4},"right_expr":{"type":"numeric_atoms","value":1067,"base":4}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"numeric_atoms","value":2426,"base":4}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1010,"base":4},"right_expr":{"type":"numeric_atoms","value":4458,"base":4}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3876,"base":4},"right_expr":{"type":"numeric_atoms","value":4017,"base":4}}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":6979,"base":4},"right_expr":{"type":"numeric_atoms","value":3080,"base":4}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":1435,"base":4},"right_expr":{"type":"numeric_atoms","value":3173,"base":4}}}}},"used_operators":["bPywburJMS","k1SHOSEABc","9ICcGScMcE","23Mk6UjR3U","eewbuw0ToL","uFPyJr306J","9cloC0Ngie","h92wMvzauj","Z8Yg6dlDSp","wicAB68Tmb","V0kx6qeWkN","Cw4SuJJGHO","AzXXKTstlj"],"dependent_operators":["9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT"],"result":"⪩⨒∯121300","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1345","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=1067, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=789","layer":3},{"info":"compute unary expreesion, input=789, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=789","layer":2},{"info":"number node, value=2426","layer":4},{"info":"compute unary expreesion, input=2426, 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=1010","layer":4},{"info":"number node, value=4458","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=4458, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1010","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1010, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=789, 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=3876","layer":4},{"info":"number node, value=4017","layer":4},{"info":"compute binary expreesion, left_input=3876, right_input=4017, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"compute unary expreesion, input=237, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"number node, value=6979","layer":4},{"info":"number node, value=3080","layer":4},{"info":"compute binary expreesion, left_input=6979, right_input=3080, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"number node, value=1435","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=3173, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-544","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-544, 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=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":1},{"info":"compute binary expreesion, left_input=nan, right_input=935, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=1648","layer":0}],"base":4,"result_base":4,"text":"(≦∁(⪩⨒∯111001⋷⪩⨒∯100223))⨂≜((∜⨇⪩⨒∯211322)⨰⪩⨒∯33302⊕∕⪩⨒∯1011222)↼⊘⨖(⪩⨒∯330210⪝⪩⨒∯332301⇪⋭)⨑⩅≇(⪩⨒∯1231003↳∿⪆⪩⨒∯300020≳⇉⪩⨒∯112123∳⫺⪩⨒∯301211)=⪩⨒∯121300","reverse_text":"⪩⨒∯121300=(≦∁(⪩⨒∯111001⋷⪩⨒∯100223))⨂≜((∜⨇⪩⨒∯211322)⨰⪩⨒∯33302⊕∕⪩⨒∯1011222)↼⊘⨖(⪩⨒∯330210⪝⪩⨒∯332301⇪⋭)⨑⩅≇(⪩⨒∯1231003↳∿⪆⪩⨒∯300020≳⇉⪩⨒∯112123∳⫺⪩⨒∯301211)","cot":[{"info":"⪩⨒∯111001⋷⪩⨒∯100223=⪩⨒∯30111","layer":3},{"info":"≦∁⪩⨒∯30111=⪩⨒∯30111","layer":2},{"info":"∜⨇⪩⨒∯211322=NaN","layer":3},{"info":"⪩⨒∯33302⊕∕⪩⨒∯1011222=⪩⨒∯33302","layer":3},{"info":"NaN⨰⪩⨒∯33302=NaN","layer":2},{"info":"⪩⨒∯30111⨂≜NaN=NaN","layer":1},{"info":"⪩⨒∯330210⪝⪩⨒∯332301=⪩⨒∯3231","layer":3},{"info":"⪩⨒∯3231⇪⋭=NaN","layer":2},{"info":"⪩⨒∯1231003↳∿⪆⪩⨒∯300020=NaN","layer":3},{"info":"⪩⨒∯112123∳⫺⪩⨒∯301211=⪩⨒∯-20200","layer":3},{"info":"NaN≳⇉⪩⨒∯-20200=NaN","layer":2},{"info":"NaN⨑⩅≇NaN=⪩⨒∯32213","layer":1},{"info":"NaN↼⊘⨖⪩⨒∯32213=⪩⨒∯121300","layer":0}]}
{"id":775,"expression_no_base_symbol":"↯⪼($4944$⫁$5076$⩍⋽⫝̸$1972$⊢$4234$⨻⩈⩔($8155$≀⩗∶$1967$↰))","expression":"↯⪼(⪩⨒∯1031100⫁⪩⨒∯1033110⩍⋽⫝̸⪩⨒∯132310⊢⪩⨒∯1002022⨻⩈⩔(⪩⨒∯1333123≀⩗∶⪩⨒∯132233↰))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":262,"operation_count":7,"complexity_ratio":37.42857142857143,"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":4944,"base":4},"right_expr":{"type":"numeric_atoms","value":5076,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1972,"base":4},"right_expr":{"type":"numeric_atoms","value":4234,"base":4}}},"right_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":8155,"base":4},"right_expr":{"type":"numeric_atoms","value":1967,"base":4}}}}},"used_operators":["8jW3W4yZS5","nEsXyWgiOK","BiWNJpBvwn","0ajvFaJAv0","5twsqlHp2o","bl5wxAcryP","8INZBEW696"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","Ph9nP6C5qx","xUOZtlo3hN","cHh1gJQ2o6","AHs5Up7iyr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","nCS4ZIUYfx","Z2TMIBDE3Q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⪩⨒∯-111","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4944","layer":4},{"info":"number node, value=5076","layer":4},{"info":"compute binary expreesion, left_input=4944, right_input=5076, op_id = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":3},{"info":"number node, value=1972","layer":4},{"info":"number node, value=4234","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=4234, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4188","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-4188, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3875","layer":2},{"info":"number node, value=8155","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=8155, right_input=1967, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-101","layer":2},{"info":"compute binary expreesion, left_input=3875, right_input=-101, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=22599","layer":1},{"info":"compute unary expreesion, input=22599, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":0}],"base":4,"result_base":4,"text":"↯⪼(⪩⨒∯1031100⫁⪩⨒∯1033110⩍⋽⫝̸⪩⨒∯132310⊢⪩⨒∯1002022⨻⩈⩔(⪩⨒∯1333123≀⩗∶⪩⨒∯132233↰))=⪩⨒∯-111","reverse_text":"⪩⨒∯-111=↯⪼(⪩⨒∯1031100⫁⪩⨒∯1033110⩍⋽⫝̸⪩⨒∯132310⊢⪩⨒∯1002022⨻⩈⩔(⪩⨒∯1333123≀⩗∶⪩⨒∯132233↰))","cot":[{"info":"⪩⨒∯1031100⫁⪩⨒∯1033110=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯132310⊢⪩⨒∯1002022=⪩⨒∯-1001130","layer":3},{"info":"⪩⨒∯2200⩍⋽⫝̸⪩⨒∯-1001130=⪩⨒∯330203","layer":2},{"info":"⪩⨒∯1333123≀⩗∶⪩⨒∯132233=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0↰=⪩⨒∯-1211","layer":2},{"info":"⪩⨒∯330203⨻⩈⩔⪩⨒∯-1211=⪩⨒∯11201013","layer":1},{"info":"↯⪼⪩⨒∯11201013=⪩⨒∯-111","layer":0}]}
{"id":776,"expression_no_base_symbol":"((⨵$3499$)⇌⫙⪟$1050$⨻⩈⩔$1955$)∌↝(≀↧⇸$1872$∴$1717$)⩚⊴⇥(($1296$⪢$1512$≚⋢)⩅⪻⪻)","expression":"((⨵⪩⨒∯312223)⇌⫙⪟⪩⨒∯100122⨻⩈⩔⪩⨒∯132203)∌↝(≀↧⇸⪩⨒∯131100∴⪩⨒∯122311)⩚⊴⇥((⪩⨒∯110100⪢⪩⨒∯113220≚⋢)⩅⪻⪻)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2207,"operation_count":10,"complexity_ratio":220.7,"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":3499,"base":4}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1050,"base":4},"right_expr":{"type":"numeric_atoms","value":1955,"base":4}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1872,"base":4},"right_expr":{"type":"numeric_atoms","value":1717,"base":4}}}},"right_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1296,"base":4},"right_expr":{"type":"numeric_atoms","value":1512,"base":4}}}}},"used_operators":["NTOWxs364D","9Isq31Ruls","AFVx7xoS7T","Tl3Y52tvF8","nEsXyWgiOK","ljTHtUsqzn","hrf7POJlIJ","kHoXpA7yos","MahUMFw56D","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","XPYlsWDdGa","23Mk6UjR3U","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","3ViojmjbAp","k8jYdgA6NY"],"result":"⪩⨒∯12321130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3499","layer":4},{"info":"compute unary expreesion, input=3499, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-29201","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=1955","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1955, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=-29201, right_input=-174, 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=1872","layer":4},{"info":"number node, value=1717","layer":4},{"info":"compute binary expreesion, left_input=1872, right_input=1717, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=5392","layer":3},{"info":"compute unary expreesion, input=5392, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=10784","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=10784, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-32352","layer":1},{"info":"number node, value=1296","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=1512, 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 = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute unary expreesion, input=-89, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=-32352, right_input=3979, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=28252","layer":0}],"base":4,"result_base":4,"text":"((⨵⪩⨒∯312223)⇌⫙⪟⪩⨒∯100122⨻⩈⩔⪩⨒∯132203)∌↝(≀↧⇸⪩⨒∯131100∴⪩⨒∯122311)⩚⊴⇥((⪩⨒∯110100⪢⪩⨒∯113220≚⋢)⩅⪻⪻)=⪩⨒∯12321130","reverse_text":"⪩⨒∯12321130=((⨵⪩⨒∯312223)⇌⫙⪟⪩⨒∯100122⨻⩈⩔⪩⨒∯132203)∌↝(≀↧⇸⪩⨒∯131100∴⪩⨒∯122311)⩚⊴⇥((⪩⨒∯110100⪢⪩⨒∯113220≚⋢)⩅⪻⪻)","cot":[{"info":"⨵⪩⨒∯312223=⪩⨒∯-13020101","layer":3},{"info":"⪩⨒∯100122⨻⩈⩔⪩⨒∯132203=⪩⨒∯-2232","layer":3},{"info":"⪩⨒∯-13020101⇌⫙⪟⪩⨒∯-2232=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯131100∴⪩⨒∯122311=⪩⨒∯1110100","layer":3},{"info":"≀↧⇸⪩⨒∯1110100=⪩⨒∯2220200","layer":2},{"info":"⪩⨒∯1301∌↝⪩⨒∯2220200=⪩⨒∯-13321200","layer":1},{"info":"⪩⨒∯110100⪢⪩⨒∯113220=NaN","layer":3},{"info":"NaN≚⋢=⪩⨒∯-1121","layer":2},{"info":"⪩⨒∯-1121⩅⪻⪻=⪩⨒∯332023","layer":1},{"info":"⪩⨒∯-13321200⩚⊴⇥⪩⨒∯332023=⪩⨒∯12321130","layer":0}]}
{"id":777,"expression_no_base_symbol":"(⊬↢(⩎⋉($2449$⨑≵⋬$1611$)))⨭⪣(⊢≑≆(⨞⊢$5927$≬⇓$5633$))","expression":"(⊬↢(⩎⋉(⪩⨒∯212101⨑≵⋬⪩⨒∯121023)))⨭⪣(⊢≑≆(⨞⊢⪩⨒∯1130213≬⇓⪩⨒∯1120001))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1850,"operation_count":7,"complexity_ratio":264.2857142857143,"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":2449,"base":4},"right_expr":{"type":"numeric_atoms","value":1611,"base":4}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":5927,"base":4},"right_expr":{"type":"numeric_atoms","value":5633,"base":4}}}}},"used_operators":["kn8WO9XteQ","WPoGxAaPR1","FlXk3pOYe8","XnXgA4xnOs","27wFxooxGf","xUOZtlo3hN","jWTQ2TZYIH"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB"],"result":"⪩⨒∯-20130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2449","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=2449, right_input=1611, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=2347","layer":3},{"info":"compute unary expreesion, input=2347, 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 unary expreesion, input=1650, 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=5927","layer":4},{"info":"number node, value=5633","layer":4},{"info":"compute binary expreesion, left_input=5927, right_input=5633, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-152","layer":2},{"info":"compute unary expreesion, input=-152, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=497","layer":1},{"info":"compute binary expreesion, left_input=218, right_input=497, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-540","layer":0}],"base":4,"result_base":4,"text":"(⊬↢(⩎⋉(⪩⨒∯212101⨑≵⋬⪩⨒∯121023)))⨭⪣(⊢≑≆(⨞⊢⪩⨒∯1130213≬⇓⪩⨒∯1120001))=⪩⨒∯-20130","reverse_text":"⪩⨒∯-20130=(⊬↢(⩎⋉(⪩⨒∯212101⨑≵⋬⪩⨒∯121023)))⨭⪣(⊢≑≆(⨞⊢⪩⨒∯1130213≬⇓⪩⨒∯1120001))","cot":[{"info":"⪩⨒∯212101⨑≵⋬⪩⨒∯121023=⪩⨒∯210223","layer":3},{"info":"⩎⋉⪩⨒∯210223=⪩⨒∯121302","layer":2},{"info":"⊬↢⪩⨒∯121302=⪩⨒∯3122","layer":1},{"info":"⪩⨒∯1130213≬⇓⪩⨒∯1120001=⪩⨒∯-112","layer":3},{"info":"⨞⊢⪩⨒∯-112=⪩⨒∯-2120","layer":2},{"info":"⊢≑≆⪩⨒∯-2120=⪩⨒∯13301","layer":1},{"info":"⪩⨒∯3122⨭⪣⪩⨒∯13301=⪩⨒∯-20130","layer":0}]}
{"id":778,"expression_no_base_symbol":"⋣(($4833$⫘$3543$⫸⊐$5939$∑⇟⊟$2065$)⊴($2377$⫉⨲⊜$6811$)⊱⇼⊻$1543$≎⪠$1663$)","expression":"⋣((⪩⨒∯1023201⫘⪩⨒∯313113⫸⊐⪩⨒∯1130303∑⇟⊟⪩⨒∯200101)⊴(⪩⨒∯211021⫉⨲⊜⪩⨒∯1222123)⊱⇼⊻⪩⨒∯120013≎⪠⪩⨒∯121333)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24454,"operation_count":8,"complexity_ratio":3056.75,"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":4833,"base":4},"right_expr":{"type":"numeric_atoms","value":3543,"base":4}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5939,"base":4},"right_expr":{"type":"numeric_atoms","value":2065,"base":4}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":2377,"base":4},"right_expr":{"type":"numeric_atoms","value":6811,"base":4}},"right_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":1543,"base":4},"right_expr":{"type":"numeric_atoms","value":1663,"base":4}}}}},"used_operators":["zQWRhDnn8F","Nsiff2A1zJ","mqXw5SEYmG","48vC8HMD2b","U7g4x0WXJJ","FyVja0WsTP","WhqkvtTD3t","aNhz54LH3e"],"dependent_operators":["vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","eewbuw0ToL","zVYPLywUTj","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF"],"result":"⪩⨒∯-1301","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4833","layer":4},{"info":"number node, value=3543","layer":4},{"info":"compute binary expreesion, left_input=4833, right_input=3543, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5688013","layer":3},{"info":"number node, value=5939","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=5939, right_input=2065, 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=5688013, 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":2},{"info":"number node, value=2377","layer":4},{"info":"number node, value=6811","layer":4},{"info":"compute binary expreesion, left_input=2377, right_input=6811, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1543","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=1663, 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=0, right_input=19558, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=204","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=204, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"⋣((⪩⨒∯1023201⫘⪩⨒∯313113⫸⊐⪩⨒∯1130303∑⇟⊟⪩⨒∯200101)⊴(⪩⨒∯211021⫉⨲⊜⪩⨒∯1222123)⊱⇼⊻⪩⨒∯120013≎⪠⪩⨒∯121333)=⪩⨒∯-1301","reverse_text":"⪩⨒∯-1301=⋣((⪩⨒∯1023201⫘⪩⨒∯313113⫸⊐⪩⨒∯1130303∑⇟⊟⪩⨒∯200101)⊴(⪩⨒∯211021⫉⨲⊜⪩⨒∯1222123)⊱⇼⊻⪩⨒∯120013≎⪠⪩⨒∯121333)","cot":[{"info":"⪩⨒∯1023201⫘⪩⨒∯313113=⪩⨒∯111230223031","layer":3},{"info":"⪩⨒∯1130303∑⇟⊟⪩⨒∯200101=NaN","layer":3},{"info":"⪩⨒∯111230223031⫸⊐NaN=NaN","layer":2},{"info":"⪩⨒∯211021⫉⨲⊜⪩⨒∯1222123=⪩⨒∯0","layer":3},{"info":"⪩⨒∯120013≎⪠⪩⨒∯121333=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯0⊱⇼⊻⪩⨒∯10301212=⪩⨒∯3030","layer":2},{"info":"NaN⊴⪩⨒∯3030=NaN","layer":1},{"info":"⋣NaN=⪩⨒∯-1301","layer":0}]}
{"id":779,"expression_no_base_symbol":"((⨆≐≲$2700$)⊱⇼⊻(⊢≑≆$8053$)⊲⩕⊾($1709$⪛$6456$)⪝(⩩$1131$))≁↽≥(($2028$∙∹∝$1250$⪒$2577$⪕$6274$)∌↝(⩎⋉(⨵≀≌$1497$)))","expression":"((⨆≐≲⪩⨒∯222030)⊱⇼⊻(⊢≑≆⪩⨒∯1331311)⊲⩕⊾(⪩⨒∯122231⪛⪩⨒∯1210320)⪝(⩩⪩⨒∯101223))≁↽≥((⪩⨒∯133230∙∹∝⪩⨒∯103202⪒⪩⨒∯220101⪕⪩⨒∯1202002)∌↝(⩎⋉(⨵≀≌⪩⨒∯113121)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7750,"operation_count":14,"complexity_ratio":553.5714285714286,"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":2700,"base":4}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"numeric_atoms","value":8053,"base":4}}},"right_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1709,"base":4},"right_expr":{"type":"numeric_atoms","value":6456,"base":4}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":1131,"base":4}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2028,"base":4},"right_expr":{"type":"numeric_atoms","value":1250,"base":4}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":2577,"base":4},"right_expr":{"type":"numeric_atoms","value":6274,"base":4}}},"right_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1497,"base":4}}}}},"used_operators":["ncHt1X6cMc","DmTXOeWf9t","FyVja0WsTP","Bi9z9uYZqW","27wFxooxGf","wicAB68Tmb","uFcxV4UQCh","kMhfGuqI2H","9Isq31Ruls","f6k1SAg4EE","HmxsFra2vL","umQnsF7QlU","FlXk3pOYe8","srAu1WTS94"],"dependent_operators":["oWn0xqSxBt","3Oe9XWJUTD","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"⪩⨒∯3010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2700","layer":4},{"info":"compute unary expreesion, input=2700, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=29215320","layer":3},{"info":"number node, value=8053","layer":4},{"info":"compute unary expreesion, input=8053, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=32664","layer":3},{"info":"compute binary expreesion, left_input=29215320, right_input=32664, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=434","layer":2},{"info":"number node, value=1709","layer":4},{"info":"number node, value=6456","layer":4},{"info":"compute binary expreesion, left_input=1709, right_input=6456, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1709","layer":3},{"info":"number node, value=1131","layer":4},{"info":"compute unary expreesion, input=1131, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1709, right_input=nan, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=434, right_input=nan, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=2028","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=2028, right_input=1250, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2577","layer":4},{"info":"number node, value=6274","layer":4},{"info":"compute binary expreesion, left_input=2577, right_input=6274, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-55, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=55","layer":2},{"info":"number node, value=1497","layer":4},{"info":"compute unary expreesion, input=1497, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4491","layer":3},{"info":"compute unary expreesion, input=-4491, 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=55, right_input=1650, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-4950","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4950, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=196","layer":0}],"base":4,"result_base":4,"text":"((⨆≐≲⪩⨒∯222030)⊱⇼⊻(⊢≑≆⪩⨒∯1331311)⊲⩕⊾(⪩⨒∯122231⪛⪩⨒∯1210320)⪝(⩩⪩⨒∯101223))≁↽≥((⪩⨒∯133230∙∹∝⪩⨒∯103202⪒⪩⨒∯220101⪕⪩⨒∯1202002)∌↝(⩎⋉(⨵≀≌⪩⨒∯113121)))=⪩⨒∯3010","reverse_text":"⪩⨒∯3010=((⨆≐≲⪩⨒∯222030)⊱⇼⊻(⊢≑≆⪩⨒∯1331311)⊲⩕⊾(⪩⨒∯122231⪛⪩⨒∯1210320)⪝(⩩⪩⨒∯101223))≁↽≥((⪩⨒∯133230∙∹∝⪩⨒∯103202⪒⪩⨒∯220101⪕⪩⨒∯1202002)∌↝(⩎⋉(⨵≀≌⪩⨒∯113121)))","cot":[{"info":"⨆≐≲⪩⨒∯222030=⪩⨒∯1233130221120","layer":3},{"info":"⊢≑≆⪩⨒∯1331311=⪩⨒∯13332120","layer":3},{"info":"⪩⨒∯1233130221120⊱⇼⊻⪩⨒∯13332120=⪩⨒∯12302","layer":2},{"info":"⪩⨒∯122231⪛⪩⨒∯1210320=⪩⨒∯122231","layer":3},{"info":"⩩⪩⨒∯101223=NaN","layer":3},{"info":"⪩⨒∯122231⪝NaN=NaN","layer":2},{"info":"⪩⨒∯12302⊲⩕⊾NaN=NaN","layer":1},{"info":"⪩⨒∯133230∙∹∝⪩⨒∯103202=⪩⨒∯0","layer":3},{"info":"⪩⨒∯220101⪕⪩⨒∯1202002=⪩⨒∯-313","layer":3},{"info":"⪩⨒∯0⪒⪩⨒∯-313=⪩⨒∯313","layer":2},{"info":"⨵≀≌⪩⨒∯113121=⪩⨒∯-1012023","layer":3},{"info":"⩎⋉⪩⨒∯-1012023=⪩⨒∯121302","layer":2},{"info":"⪩⨒∯313∌↝⪩⨒∯121302=⪩⨒∯-1031112","layer":1},{"info":"NaN≁↽≥⪩⨒∯-1031112=⪩⨒∯3010","layer":0}]}
{"id":780,"expression_no_base_symbol":"⩎⋉(($1771$⩵∡$7474$)⨫⇇↔($4240$⨔≚≋$4396$)⨓(($2083$⨒$1749$)⩵∡($2149$↱$1299$)))","expression":"⩎⋉((⪩⨒∯123223⩵∡⪩⨒∯1310302)⨫⇇↔(⪩⨒∯1002100⨔≚≋⪩⨒∯1010230)⨓((⪩⨒∯200203⨒⪩⨒∯123111)⩵∡(⪩⨒∯201211↱⪩⨒∯110103)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33113,"operation_count":8,"complexity_ratio":4139.125,"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":1771,"base":4},"right_expr":{"type":"numeric_atoms","value":7474,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4240,"base":4},"right_expr":{"type":"numeric_atoms","value":4396,"base":4}}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2083,"base":4},"right_expr":{"type":"numeric_atoms","value":1749,"base":4}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2149,"base":4},"right_expr":{"type":"numeric_atoms","value":1299,"base":4}}}}},"used_operators":["FlXk3pOYe8","3ViojmjbAp","LXhwmt4mBO","Y7wcNGrDQJ","Z57zeUYC9z","y75s1iXyHd","SR5kFfdi6N"],"dependent_operators":["KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","NTOWxs364D","glklzrTFfD","tifHPKVTfV","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"⪩⨒∯121302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1771","layer":4},{"info":"number node, value=7474","layer":4},{"info":"compute binary expreesion, left_input=1771, right_input=7474, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3811","layer":3},{"info":"number node, value=4240","layer":4},{"info":"number node, value=4396","layer":4},{"info":"compute binary expreesion, left_input=4240, right_input=4396, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=3811, right_input=9872, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"number node, value=2083","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=1749, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-12126","layer":3},{"info":"number node, value=2149","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=2149, right_input=1299, 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=-3375","layer":3},{"info":"compute binary expreesion, left_input=-12126, right_input=-3375, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=32882","layer":2},{"info":"compute binary expreesion, left_input=-527, right_input=32882, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-32885","layer":1},{"info":"compute unary expreesion, input=-32885, 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":4,"result_base":4,"text":"⩎⋉((⪩⨒∯123223⩵∡⪩⨒∯1310302)⨫⇇↔(⪩⨒∯1002100⨔≚≋⪩⨒∯1010230)⨓((⪩⨒∯200203⨒⪩⨒∯123111)⩵∡(⪩⨒∯201211↱⪩⨒∯110103)))=⪩⨒∯121302","reverse_text":"⪩⨒∯121302=⩎⋉((⪩⨒∯123223⩵∡⪩⨒∯1310302)⨫⇇↔(⪩⨒∯1002100⨔≚≋⪩⨒∯1010230)⨓((⪩⨒∯200203⨒⪩⨒∯123111)⩵∡(⪩⨒∯201211↱⪩⨒∯110103)))","cot":[{"info":"⪩⨒∯123223⩵∡⪩⨒∯1310302=⪩⨒∯323203","layer":3},{"info":"⪩⨒∯1002100⨔≚≋⪩⨒∯1010230=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯323203⨫⇇↔⪩⨒∯2122100=⪩⨒∯-20033","layer":2},{"info":"⪩⨒∯200203⨒⪩⨒∯123111=⪩⨒∯-2331132","layer":3},{"info":"⪩⨒∯201211↱⪩⨒∯110103=⪩⨒∯-310233","layer":3},{"info":"⪩⨒∯-2331132⩵∡⪩⨒∯-310233=⪩⨒∯20001302","layer":2},{"info":"⪩⨒∯-20033⨓⪩⨒∯20001302=⪩⨒∯-20001311","layer":1},{"info":"⩎⋉⪩⨒∯-20001311=⪩⨒∯121302","layer":0}]}
{"id":781,"expression_no_base_symbol":"((⊀$5292$)⇣⩺⋵$5524$≦↸$6737$)⪟⇏(⩰(⇾⩊⇾$3230$))⪭($2186$≎⪠$1248$⨸($5795$⫸⇳$1140$)⫒⫫($1125$∙∹∝$1483$)⫁($5621$⪛⫼$4194$))","expression":"((⊀⪩⨒∯1102230)⇣⩺⋵⪩⨒∯1112110≦↸⪩⨒∯1221101)⪟⇏(⩰(⇾⩊⇾⪩⨒∯302132))⪭(⪩⨒∯202022≎⪠⪩⨒∯103200⨸(⪩⨒∯1122203⫸⇳⪩⨒∯101310)⫒⫫(⪩⨒∯101211∙∹∝⪩⨒∯113023)⫁(⪩⨒∯1113311⪛⫼⪩⨒∯1001202))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":39230,"operation_count":14,"complexity_ratio":2802.1428571428573,"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":5292,"base":4}},"right_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":5524,"base":4},"right_expr":{"type":"numeric_atoms","value":6737,"base":4}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":3230,"base":4}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":2186,"base":4},"right_expr":{"type":"numeric_atoms","value":1248,"base":4}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":5795,"base":4},"right_expr":{"type":"numeric_atoms","value":1140,"base":4}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1125,"base":4},"right_expr":{"type":"numeric_atoms","value":1483,"base":4}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5621,"base":4},"right_expr":{"type":"numeric_atoms","value":4194,"base":4}}}}},"used_operators":["j9kHMeSvPp","GODebY97qR","F4yD0voBRQ","oPMjh9089D","RygbFNSyEJ","WkeUrDK8WX","bx9Z9DAK5y","6Ko8hGgeMq","KmoU8R5UQR","aNhz54LH3e","gx7XJ7hdpj","0ajvFaJAv0","HmxsFra2vL","hyuBjUqXlG"],"dependent_operators":["COABgblf1C","xUOZtlo3hN","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","cHh1gJQ2o6","AHs5Up7iyr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"⪩⨒∯-2232","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5292","layer":4},{"info":"compute unary expreesion, input=5292, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=20906","layer":3},{"info":"number node, value=5524","layer":4},{"info":"number node, value=6737","layer":4},{"info":"compute binary expreesion, left_input=5524, right_input=6737, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-23841","layer":3},{"info":"compute binary expreesion, left_input=20906, right_input=-23841, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"number node, value=3230","layer":4},{"info":"compute unary expreesion, input=3230, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-35556","layer":3},{"info":"compute unary expreesion, input=-35556, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=70112","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=70112, 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=2186","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=1248, 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=5795","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=5795, right_input=1140, 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=19558, right_input=0, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=39116","layer":2},{"info":"number node, value=1125","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=1483, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5621","layer":4},{"info":"number node, value=4194","layer":4},{"info":"compute binary expreesion, left_input=5621, right_input=4194, 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 = 0ajvFaJAv0 binary_op_definition= 'a⫁b = { (a≹⇙⪍6) , if a==154 ; (b⩘b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=39116, right_input=160, 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=0, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":0}],"base":4,"result_base":4,"text":"((⊀⪩⨒∯1102230)⇣⩺⋵⪩⨒∯1112110≦↸⪩⨒∯1221101)⪟⇏(⩰(⇾⩊⇾⪩⨒∯302132))⪭(⪩⨒∯202022≎⪠⪩⨒∯103200⨸(⪩⨒∯1122203⫸⇳⪩⨒∯101310)⫒⫫(⪩⨒∯101211∙∹∝⪩⨒∯113023)⫁(⪩⨒∯1113311⪛⫼⪩⨒∯1001202))=⪩⨒∯-2232","reverse_text":"⪩⨒∯-2232=((⊀⪩⨒∯1102230)⇣⩺⋵⪩⨒∯1112110≦↸⪩⨒∯1221101)⪟⇏(⩰(⇾⩊⇾⪩⨒∯302132))⪭(⪩⨒∯202022≎⪠⪩⨒∯103200⨸(⪩⨒∯1122203⫸⇳⪩⨒∯101310)⫒⫫(⪩⨒∯101211∙∹∝⪩⨒∯113023)⫁(⪩⨒∯1113311⪛⫼⪩⨒∯1001202))","cot":[{"info":"⊀⪩⨒∯1102230=⪩⨒∯11012222","layer":3},{"info":"⪩⨒∯1112110≦↸⪩⨒∯1221101=⪩⨒∯-11310201","layer":3},{"info":"⪩⨒∯11012222⇣⩺⋵⪩⨒∯-11310201=⪩⨒∯-10010","layer":2},{"info":"⇾⩊⇾⪩⨒∯302132=⪩⨒∯-20223210","layer":3},{"info":"⩰⪩⨒∯-20223210=⪩⨒∯101013200","layer":2},{"info":"⪩⨒∯-10010⪟⇏⪩⨒∯101013200=⪩⨒∯0","layer":1},{"info":"⪩⨒∯202022≎⪠⪩⨒∯103200=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯1122203⫸⇳⪩⨒∯101310=⪩⨒∯0","layer":3},{"info":"⪩⨒∯10301212⨸⪩⨒∯0=⪩⨒∯21203030","layer":2},{"info":"⪩⨒∯101211∙∹∝⪩⨒∯113023=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1113311⪛⫼⪩⨒∯1001202=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯0⫁⪩⨒∯33020=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯21203030⫒⫫⪩⨒∯2200=NaN","layer":1},{"info":"⪩⨒∯0⪭NaN=⪩⨒∯-2232","layer":0}]}
{"id":782,"expression_no_base_symbol":"(((↘$2187$)⊹∫⫚$4842$⪥$6104$)⇴((⊀$1159$)⪨≂$8842$⇴$3992$))⩼⇪↪(⫟($3199$≭$2440$⇉⇉))","expression":"(((↘⪩⨒∯202023)⊹∫⫚⪩⨒∯1023222⪥⪩⨒∯1133120)⇴((⊀⪩⨒∯102013)⪨≂⪩⨒∯2022022⇴⪩⨒∯332120))⩼⇪↪(⫟(⪩⨒∯301333≭⪩⨒∯212020⇉⇉))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":413,"operation_count":11,"complexity_ratio":37.54545454545455,"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":2187,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":4842,"base":4},"right_expr":{"type":"numeric_atoms","value":6104,"base":4}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1159,"base":4}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":8842,"base":4},"right_expr":{"type":"numeric_atoms","value":3992,"base":4}}}},"right_expr":{"type":"unary","operator":"⫟","unary_expr":{"type":"unary","operator":"⇉⇉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3199,"base":4},"right_expr":{"type":"numeric_atoms","value":2440,"base":4}}}}},"used_operators":["ocnLzx9CaJ","4JB6nKBMSY","uWAJUKEvyW","LdNpr8hQHL","QbnwKVWMIQ","sdazOOVcIp","oPMjh9089D","z4E1FaHLuy","diKm42VcIt","rxpJgHHUmx"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","uFcxV4UQCh","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","rysDP5nf3Z","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","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2187","layer":4},{"info":"compute unary expreesion, input=2187, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=227","layer":3},{"info":"number node, value=4842","layer":4},{"info":"number node, value=6104","layer":4},{"info":"compute binary expreesion, left_input=4842, right_input=6104, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=24020","layer":3},{"info":"compute binary expreesion, left_input=227, right_input=24020, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-148","layer":2},{"info":"number node, value=1159","layer":4},{"info":"compute unary expreesion, input=1159, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=4374","layer":3},{"info":"number node, value=8842","layer":4},{"info":"number node, value=3992","layer":4},{"info":"compute binary expreesion, left_input=8842, right_input=3992, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=60650","layer":3},{"info":"compute binary expreesion, left_input=4374, right_input=60650, 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=-112450","layer":2},{"info":"compute binary expreesion, left_input=-148, right_input=-112450, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=-226174","layer":1},{"info":"number node, value=3199","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=3199, right_input=2440, 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 = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , 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=-226174, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((↘⪩⨒∯202023)⊹∫⫚⪩⨒∯1023222⪥⪩⨒∯1133120)⇴((⊀⪩⨒∯102013)⪨≂⪩⨒∯2022022⇴⪩⨒∯332120))⩼⇪↪(⫟(⪩⨒∯301333≭⪩⨒∯212020⇉⇉))=NaN","reverse_text":"NaN=(((↘⪩⨒∯202023)⊹∫⫚⪩⨒∯1023222⪥⪩⨒∯1133120)⇴((⊀⪩⨒∯102013)⪨≂⪩⨒∯2022022⇴⪩⨒∯332120))⩼⇪↪(⫟(⪩⨒∯301333≭⪩⨒∯212020⇉⇉))","cot":[{"info":"↘⪩⨒∯202023=⪩⨒∯3203","layer":3},{"info":"⪩⨒∯1023222⪥⪩⨒∯1133120=⪩⨒∯11313110","layer":3},{"info":"⪩⨒∯3203⊹∫⫚⪩⨒∯11313110=⪩⨒∯-2110","layer":2},{"info":"⊀⪩⨒∯102013=⪩⨒∯1010112","layer":3},{"info":"⪩⨒∯2022022⇴⪩⨒∯332120=⪩⨒∯32303222","layer":3},{"info":"⪩⨒∯1010112⪨≂⪩⨒∯32303222=⪩⨒∯-123131002","layer":2},{"info":"⪩⨒∯-2110⇴⪩⨒∯-123131002=⪩⨒∯-313031332","layer":1},{"info":"⪩⨒∯301333≭⪩⨒∯212020=NaN","layer":3},{"info":"NaN⇉⇉=NaN","layer":2},{"info":"⫟NaN=NaN","layer":1},{"info":"⪩⨒∯-313031332⩼⇪↪NaN=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"(⪓⩚(⫓⪴($2551$≦≮≮)))⨓($3210$↢$2141$)⫗⊷⫓($2380$+⇶⊼$1294$)⨟⋌⩍(↨($2895$⊴⇁⪶))","expression":"(⪓⩚(⫓⪴(⪩⨒∯213313≦≮≮)))⨓(⪩⨒∯302022↢⪩⨒∯201131)⫗⊷⫓(⪩⨒∯211030+⇶⊼⪩⨒∯110032)⨟⋌⩍(↨(⪩⨒∯231033⊴⇁⪶))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14645,"operation_count":10,"complexity_ratio":1464.5,"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":2551,"base":4}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3210,"base":4},"right_expr":{"type":"numeric_atoms","value":2141,"base":4}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2380,"base":4},"right_expr":{"type":"numeric_atoms","value":1294,"base":4}}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":2895,"base":4}}}}},"used_operators":["3ViojmjbAp","u0R0Locfp2","eLxqMNBOBk","D4vGDi5EA2","rGHVDoGpnC","zashukvMKz","WR6HLWljOP","TpPTUOHfaN","jiX4gk2v2Q","oo9mF6JIpo"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","AHs5Up7iyr","rGHVDoGpnC","oZj3VtZNQx","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2551","layer":4},{"info":"compute unary expreesion, input=2551, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7653","layer":3},{"info":"compute unary expreesion, input=-7653, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=58568409","layer":2},{"info":"compute unary expreesion, input=58568409, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":1},{"info":"number node, value=3210","layer":4},{"info":"number node, value=2141","layer":4},{"info":"compute binary expreesion, left_input=3210, right_input=2141, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2726","layer":3},{"info":"number node, value=2380","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=2380, right_input=1294, 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=2726, 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":2},{"info":"number node, value=2895","layer":4},{"info":"compute unary expreesion, input=2895, 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=56012","layer":3},{"info":"compute unary expreesion, input=56012, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, 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=426, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪓⩚(⫓⪴(⪩⨒∯213313≦≮≮)))⨓(⪩⨒∯302022↢⪩⨒∯201131)⫗⊷⫓(⪩⨒∯211030+⇶⊼⪩⨒∯110032)⨟⋌⩍(↨(⪩⨒∯231033⊴⇁⪶))=NaN","reverse_text":"NaN=(⪓⩚(⫓⪴(⪩⨒∯213313≦≮≮)))⨓(⪩⨒∯302022↢⪩⨒∯201131)⫗⊷⫓(⪩⨒∯211030+⇶⊼⪩⨒∯110032)⨟⋌⩍(↨(⪩⨒∯231033⊴⇁⪶))","cot":[{"info":"⪩⨒∯213313≦≮≮=⪩⨒∯-1313211","layer":3},{"info":"⫓⪴⪩⨒∯-1313211=⪩⨒∯3133122323121","layer":2},{"info":"⪓⩚⪩⨒∯3133122323121=⪩⨒∯12222","layer":1},{"info":"⪩⨒∯302022↢⪩⨒∯201131=⪩⨒∯222212","layer":3},{"info":"⪩⨒∯211030+⇶⊼⪩⨒∯110032=NaN","layer":3},{"info":"⪩⨒∯222212⫗⊷⫓NaN=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯231033⊴⇁⪶=⪩⨒∯31223030","layer":3},{"info":"↨⪩⨒∯31223030=NaN","layer":2},{"info":"⪩⨒∯-2012⨟⋌⩍NaN=NaN","layer":1},{"info":"⪩⨒∯12222⨓NaN=NaN","layer":0}]}
{"id":784,"expression_no_base_symbol":"⨆≐≲($4337$⪎↠$6962$⇌⫙⪟$1003$⊕∕$1627$)≁↽≥((⊖∈$2132$)∺≝⩲($7232$⪇≇⋚$1718$))","expression":"⨆≐≲(⪩⨒∯1003301⪎↠⪩⨒∯1230302⇌⫙⪟⪩⨒∯33223⊕∕⪩⨒∯121123)≁↽≥((⊖∈⪩⨒∯201110)∺≝⩲(⪩⨒∯1301000⪇≇⋚⪩⨒∯122312))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":239,"operation_count":8,"complexity_ratio":29.875,"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":4337,"base":4},"right_expr":{"type":"numeric_atoms","value":6962,"base":4}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"numeric_atoms","value":1003,"base":4},"right_expr":{"type":"numeric_atoms","value":1627,"base":4}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"numeric_atoms","value":2132,"base":4}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":7232,"base":4},"right_expr":{"type":"numeric_atoms","value":1718,"base":4}}}}},"used_operators":["Bi9z9uYZqW","ncHt1X6cMc","AFVx7xoS7T","3tVxb0NHM4","9cloC0Ngie","KPf6cnQVty","YFxL8Sc2Zy","3sJ7IOPOlU"],"dependent_operators":["SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","oWn0xqSxBt","3Oe9XWJUTD","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"⪩⨒∯13021222200120","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4337","layer":4},{"info":"number node, value=6962","layer":4},{"info":"compute binary expreesion, left_input=4337, right_input=6962, 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=1003","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1627, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=1003","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1003, 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=2132","layer":4},{"info":"compute unary expreesion, input=2132, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=37046","layer":3},{"info":"number node, value=7232","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=7232, right_input=1718, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=37046, right_input=0, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=160, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=10993","layer":1},{"info":"compute unary expreesion, input=10993, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=119973912","layer":0}],"base":4,"result_base":4,"text":"⨆≐≲(⪩⨒∯1003301⪎↠⪩⨒∯1230302⇌⫙⪟⪩⨒∯33223⊕∕⪩⨒∯121123)≁↽≥((⊖∈⪩⨒∯201110)∺≝⩲(⪩⨒∯1301000⪇≇⋚⪩⨒∯122312))=⪩⨒∯13021222200120","reverse_text":"⪩⨒∯13021222200120=⨆≐≲(⪩⨒∯1003301⪎↠⪩⨒∯1230302⇌⫙⪟⪩⨒∯33223⊕∕⪩⨒∯121123)≁↽≥((⊖∈⪩⨒∯201110)∺≝⩲(⪩⨒∯1301000⪇≇⋚⪩⨒∯122312))","cot":[{"info":"⪩⨒∯1003301⪎↠⪩⨒∯1230302=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯33223⊕∕⪩⨒∯121123=⪩⨒∯33223","layer":3},{"info":"⪩⨒∯2200⇌⫙⪟⪩⨒∯33223=⪩⨒∯1301","layer":2},{"info":"⊖∈⪩⨒∯201110=⪩⨒∯21002312","layer":3},{"info":"⪩⨒∯1301000⪇≇⋚⪩⨒∯122312=⪩⨒∯0","layer":3},{"info":"⪩⨒∯21002312∺≝⩲⪩⨒∯0=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1301≁↽≥⪩⨒∯2200=⪩⨒∯2223301","layer":1},{"info":"⨆≐≲⪩⨒∯2223301=⪩⨒∯13021222200120","layer":0}]}
{"id":785,"expression_no_base_symbol":"≉(∜⨇$1631$)⨂≜($1167$⩹$1202$)∠⫱$8569$⇷$2547$⩧⪆($3619$⊎←↗)","expression":"≉(∜⨇⪩⨒∯121133)⨂≜(⪩⨒∯102033⩹⪩⨒∯102302)∠⫱⪩⨒∯2011321⇷⪩⨒∯213303⩧⪆(⪩⨒∯320203⊎←↗)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":120102,"operation_count":8,"complexity_ratio":15012.75,"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":1631,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1167,"base":4},"right_expr":{"type":"numeric_atoms","value":1202,"base":4}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8569,"base":4},"right_expr":{"type":"numeric_atoms","value":2547,"base":4}},"right_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"numeric_atoms","value":3619,"base":4}}}}},"used_operators":["e1ybzncUwg","QvoQhV0rrE","k1SHOSEABc","uFPyJr306J","2Wsdkap16l","Ikt5ks8PT7","mp7IySMOzn","dwb5p0fa6d"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","eewbuw0ToL","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","COABgblf1C"],"result":"⪩⨒∯123211","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1631","layer":4},{"info":"compute unary expreesion, input=1631, 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=1167","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=1202, 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=1200","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1200, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=8569","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=8569, right_input=2547, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5094","layer":3},{"info":"number node, value=3619","layer":4},{"info":"compute unary expreesion, input=3619, op_id = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-6553","layer":3},{"info":"compute binary expreesion, left_input=5094, right_input=-6553, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=6553","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6553, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute unary expreesion, input=1234, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1765","layer":0}],"base":4,"result_base":4,"text":"≉(∜⨇⪩⨒∯121133)⨂≜(⪩⨒∯102033⩹⪩⨒∯102302)∠⫱⪩⨒∯2011321⇷⪩⨒∯213303⩧⪆(⪩⨒∯320203⊎←↗)=⪩⨒∯123211","reverse_text":"⪩⨒∯123211=≉(∜⨇⪩⨒∯121133)⨂≜(⪩⨒∯102033⩹⪩⨒∯102302)∠⫱⪩⨒∯2011321⇷⪩⨒∯213303⩧⪆(⪩⨒∯320203⊎←↗)","cot":[{"info":"∜⨇⪩⨒∯121133=NaN","layer":3},{"info":"⪩⨒∯102033⩹⪩⨒∯102302=⪩⨒∯102300","layer":3},{"info":"NaN⨂≜⪩⨒∯102300=NaN","layer":2},{"info":"⪩⨒∯2011321⇷⪩⨒∯213303=⪩⨒∯1033212","layer":3},{"info":"⪩⨒∯320203⊎←↗=⪩⨒∯-1212121","layer":3},{"info":"⪩⨒∯1033212⩧⪆⪩⨒∯-1212121=⪩⨒∯1212121","layer":2},{"info":"NaN∠⫱⪩⨒∯1212121=⪩⨒∯103102","layer":1},{"info":"≉⪩⨒∯103102=⪩⨒∯123211","layer":0}]}
{"id":786,"expression_no_base_symbol":"(⨝⨆(⊥$9611$))∋(⇖$5709$)⨥⫆($2375$⩹$1119$)/(⨆≐≲(($3834$∀⇚≩$7954$)⋣⋖($1036$⋾⨃∁$4390$)))","expression":"(⨝⨆(⊥⪩⨒∯2112023))∋(⇖⪩⨒∯1121031)⨥⫆(⪩⨒∯211013⩹⪩⨒∯101133)/(⨆≐≲((⪩⨒∯323322∀⇚≩⪩⨒∯1330102)⋣⋖(⪩⨒∯100030⋾⨃∁⪩⨒∯1010212)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":31366,"operation_count":11,"complexity_ratio":2851.4545454545455,"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":9611,"base":4}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":5709,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2375,"base":4},"right_expr":{"type":"numeric_atoms","value":1119,"base":4}}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3834,"base":4},"right_expr":{"type":"numeric_atoms","value":7954,"base":4}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":1036,"base":4},"right_expr":{"type":"numeric_atoms","value":4390,"base":4}}}}},"used_operators":["XhwjNDsVaA","ukq6epAj5P","bQ67fsrMVf","Q3PJZHRvZv","yXekIHxTD4","tfWHHpNKUN","2Wsdkap16l","Bi9z9uYZqW","J0M6qkBnIM","LRNGc0VcxI","212REbPD9h"],"dependent_operators":["rysDP5nf3Z","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","tifHPKVTfV","fu6greOZ01","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","2DQ55sFlQl","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","X99M06cbEe","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=9611","layer":4},{"info":"compute unary expreesion, input=9611, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=nan","layer":2},{"info":"number node, value=5709","layer":4},{"info":"compute unary expreesion, input=5709, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=1119, 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=1117","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1117, 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 = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=nan","layer":1},{"info":"number node, value=3834","layer":4},{"info":"number node, value=7954","layer":4},{"info":"compute binary expreesion, left_input=3834, right_input=7954, 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=1036","layer":4},{"info":"number node, value=4390","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=4390, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=192668226","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=192668226, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; 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 binary expreesion, left_input=nan, right_input=-168548, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⨝⨆(⊥⪩⨒∯2112023))∋(⇖⪩⨒∯1121031)⨥⫆(⪩⨒∯211013⩹⪩⨒∯101133)/(⨆≐≲((⪩⨒∯323322∀⇚≩⪩⨒∯1330102)⋣⋖(⪩⨒∯100030⋾⨃∁⪩⨒∯1010212)))=NaN","reverse_text":"NaN=(⨝⨆(⊥⪩⨒∯2112023))∋(⇖⪩⨒∯1121031)⨥⫆(⪩⨒∯211013⩹⪩⨒∯101133)/(⨆≐≲((⪩⨒∯323322∀⇚≩⪩⨒∯1330102)⋣⋖(⪩⨒∯100030⋾⨃∁⪩⨒∯1010212)))","cot":[{"info":"⊥⪩⨒∯2112023=NaN","layer":3},{"info":"⨝⨆NaN=NaN","layer":2},{"info":"⇖⪩⨒∯1121031=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯211013⩹⪩⨒∯101133=⪩⨒∯101131","layer":3},{"info":"⪩⨒∯2200⨥⫆⪩⨒∯101131=⪩⨒∯0","layer":2},{"info":"NaN∋⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯323322∀⇚≩⪩⨒∯1330102=NaN","layer":3},{"info":"⪩⨒∯100030⋾⨃∁⪩⨒∯1010212=⪩⨒∯23132332021002","layer":3},{"info":"NaN⋣⋖⪩⨒∯23132332021002=NaN","layer":2},{"info":"⨆≐≲NaN=⪩⨒∯-221021210","layer":1},{"info":"NaN/⪩⨒∯-221021210=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"(↔(($1360$↸$6508$)⨒($6810$∷$1157$)))⫳≱↱($1148$≁$5674$⨐⩸⫘$2332$↞⋁$4230$)↢((⩒∊$1174$)⪔⊥($3991$∙⊟$6276$))","expression":"(↔((⪩⨒∯111100↸⪩⨒∯1211230)⨒(⪩⨒∯1222122∷⪩⨒∯102011)))⫳≱↱(⪩⨒∯101330≁⪩⨒∯1120222⨐⩸⫘⪩⨒∯210130↞⋁⪩⨒∯1002012)↢((⩒∊⪩⨒∯102112)⪔⊥(⪩⨒∯332113∙⊟⪩⨒∯1202010))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5802,"operation_count":12,"complexity_ratio":483.5,"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":1360,"base":4},"right_expr":{"type":"numeric_atoms","value":6508,"base":4}},"right_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":6810,"base":4},"right_expr":{"type":"numeric_atoms","value":1157,"base":4}}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":1148,"base":4},"right_expr":{"type":"numeric_atoms","value":5674,"base":4}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2332,"base":4},"right_expr":{"type":"numeric_atoms","value":4230,"base":4}}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"numeric_atoms","value":1174,"base":4}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3991,"base":4},"right_expr":{"type":"numeric_atoms","value":6276,"base":4}}}}},"used_operators":["ZvLB05nZmT","ruOEQAzv1W","y75s1iXyHd","1eCjFl0mb9","D3AQDKkPcf","WR6HLWljOP","fu6greOZ01","8N2wDY1A35","RqrPlJkxDo","HJ9erzHUuu","qazvmhNBbN","SxTAKzQCrw"],"dependent_operators":["2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","NTOWxs364D","7j4O788W3g","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","3ViojmjbAp","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF"],"result":"⪩⨒∯-3030","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1360","layer":4},{"info":"number node, value=6508","layer":4},{"info":"compute binary expreesion, left_input=1360, right_input=6508, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1360","layer":3},{"info":"number node, value=6810","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=6810, right_input=1157, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1157","layer":3},{"info":"compute binary expreesion, left_input=1360, right_input=1157, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-7788","layer":2},{"info":"compute unary expreesion, input=-7788, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=1148","layer":4},{"info":"number node, value=5674","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=5674, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=122975","layer":3},{"info":"number node, value=2332","layer":4},{"info":"number node, value=4230","layer":4},{"info":"compute binary expreesion, left_input=2332, right_input=4230, 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=122975, 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=1174","layer":4},{"info":"compute unary expreesion, input=1174, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=1591","layer":3},{"info":"number node, value=3991","layer":4},{"info":"number node, value=6276","layer":4},{"info":"compute binary expreesion, left_input=3991, right_input=6276, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=61729","layer":3},{"info":"compute binary expreesion, left_input=1591, right_input=61729, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=-117293","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-117293, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":0}],"base":4,"result_base":4,"text":"(↔((⪩⨒∯111100↸⪩⨒∯1211230)⨒(⪩⨒∯1222122∷⪩⨒∯102011)))⫳≱↱(⪩⨒∯101330≁⪩⨒∯1120222⨐⩸⫘⪩⨒∯210130↞⋁⪩⨒∯1002012)↢((⩒∊⪩⨒∯102112)⪔⊥(⪩⨒∯332113∙⊟⪩⨒∯1202010))=⪩⨒∯-3030","reverse_text":"⪩⨒∯-3030=(↔((⪩⨒∯111100↸⪩⨒∯1211230)⨒(⪩⨒∯1222122∷⪩⨒∯102011)))⫳≱↱(⪩⨒∯101330≁⪩⨒∯1120222⨐⩸⫘⪩⨒∯210130↞⋁⪩⨒∯1002012)↢((⩒∊⪩⨒∯102112)⪔⊥(⪩⨒∯332113∙⊟⪩⨒∯1202010))","cot":[{"info":"⪩⨒∯111100↸⪩⨒∯1211230=⪩⨒∯111100","layer":3},{"info":"⪩⨒∯1222122∷⪩⨒∯102011=⪩⨒∯102011","layer":3},{"info":"⪩⨒∯111100⨒⪩⨒∯102011=⪩⨒∯-1321230","layer":2},{"info":"↔⪩⨒∯-1321230=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯101330≁⪩⨒∯1120222=⪩⨒∯132001133","layer":3},{"info":"⪩⨒∯210130↞⋁⪩⨒∯1002012=NaN","layer":3},{"info":"⪩⨒∯132001133⨐⩸⫘NaN=NaN","layer":2},{"info":"⩒∊⪩⨒∯102112=⪩⨒∯120313","layer":3},{"info":"⪩⨒∯332113∙⊟⪩⨒∯1202010=⪩⨒∯33010201","layer":3},{"info":"⪩⨒∯120313⪔⊥⪩⨒∯33010201=⪩⨒∯-130220231","layer":2},{"info":"NaN↢⪩⨒∯-130220231=NaN","layer":1},{"info":"⪩⨒∯-2012⫳≱↱NaN=⪩⨒∯-3030","layer":0}]}
{"id":788,"expression_no_base_symbol":"∷≠(∓($2500$⩖⊿$1739$)≎⪠($2459$⊭↱$2876$))","expression":"∷≠(∓(⪩⨒∯213010⩖⊿⪩⨒∯123023)≎⪠(⪩⨒∯212123⊭↱⪩⨒∯230330))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19162,"operation_count":5,"complexity_ratio":3832.4,"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":2500,"base":4},"right_expr":{"type":"numeric_atoms","value":1739,"base":4}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2459,"base":4},"right_expr":{"type":"numeric_atoms","value":2876,"base":4}}}}},"used_operators":["QiR2Oyf5Xj","OwUj7dcsQK","aNhz54LH3e","RZ5CV9rWsJ","COABgblf1C"],"dependent_operators":["7j4O788W3g","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯-1020310002","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2500","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=1739, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=3830","layer":3},{"info":"number node, value=2459","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=2876, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=839","layer":3},{"info":"compute binary expreesion, left_input=3830, right_input=839, 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 = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-298242","layer":1},{"info":"compute unary expreesion, input=-298242, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=-298242","layer":0}],"base":4,"result_base":4,"text":"∷≠(∓(⪩⨒∯213010⩖⊿⪩⨒∯123023)≎⪠(⪩⨒∯212123⊭↱⪩⨒∯230330))=⪩⨒∯-1020310002","reverse_text":"⪩⨒∯-1020310002=∷≠(∓(⪩⨒∯213010⩖⊿⪩⨒∯123023)≎⪠(⪩⨒∯212123⊭↱⪩⨒∯230330))","cot":[{"info":"⪩⨒∯213010⩖⊿⪩⨒∯123023=⪩⨒∯323312","layer":3},{"info":"⪩⨒∯212123⊭↱⪩⨒∯230330=⪩⨒∯31013","layer":3},{"info":"⪩⨒∯323312≎⪠⪩⨒∯31013=⪩⨒∯10301212","layer":2},{"info":"∓⪩⨒∯10301212=⪩⨒∯-1020310002","layer":1},{"info":"∷≠⪩⨒∯-1020310002=⪩⨒∯-1020310002","layer":0}]}
{"id":789,"expression_no_base_symbol":"↞≼((($8854$⫠)+⇶⊼($3551$⪄$3402$))⩼⇪↪($1601$↙$1680$⨵⪆$1623$⪘⫢$3393$))","expression":"↞≼(((⪩⨒∯2022112⫠)+⇶⊼(⪩⨒∯313133⪄⪩⨒∯311022))⩼⇪↪(⪩⨒∯121001↙⪩⨒∯122100⨵⪆⪩⨒∯121113⪘⫢⪩⨒∯311001))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":125804,"operation_count":8,"complexity_ratio":15725.5,"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":8854,"base":4}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3551,"base":4},"right_expr":{"type":"numeric_atoms","value":3402,"base":4}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1601,"base":4},"right_expr":{"type":"numeric_atoms","value":1680,"base":4}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1623,"base":4},"right_expr":{"type":"numeric_atoms","value":3393,"base":4}}}}},"used_operators":["DE7zCoGJt9","ocnLzx9CaJ","TpPTUOHfaN","6SnOT2rOjz","SUmda5xLS4","2DQ55sFlQl","yyfyN0ffXY","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","AHs5Up7iyr","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8854","layer":4},{"info":"compute unary expreesion, input=8854, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=3551","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=3551, right_input=3402, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-535245","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-535245, 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=1601","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1601, right_input=1680, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5040","layer":3},{"info":"number node, value=1623","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=3393, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3122","layer":3},{"info":"compute binary expreesion, left_input=-5040, right_input=3122, 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=nan, right_input=160, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"↞≼(((⪩⨒∯2022112⫠)+⇶⊼(⪩⨒∯313133⪄⪩⨒∯311022))⩼⇪↪(⪩⨒∯121001↙⪩⨒∯122100⨵⪆⪩⨒∯121113⪘⫢⪩⨒∯311001))=NaN","reverse_text":"NaN=↞≼(((⪩⨒∯2022112⫠)+⇶⊼(⪩⨒∯313133⪄⪩⨒∯311022))⩼⇪↪(⪩⨒∯121001↙⪩⨒∯122100⨵⪆⪩⨒∯121113⪘⫢⪩⨒∯311001))","cot":[{"info":"⪩⨒∯2022112⫠=⪩⨒∯0","layer":3},{"info":"⪩⨒∯313133⪄⪩⨒∯311022=⪩⨒∯-2002223031","layer":3},{"info":"⪩⨒∯0+⇶⊼⪩⨒∯-2002223031=NaN","layer":2},{"info":"⪩⨒∯121001↙⪩⨒∯122100=⪩⨒∯-1032300","layer":3},{"info":"⪩⨒∯121113⪘⫢⪩⨒∯311001=⪩⨒∯300302","layer":3},{"info":"⪩⨒∯-1032300⨵⪆⪩⨒∯300302=⪩⨒∯2200","layer":2},{"info":"NaN⩼⇪↪⪩⨒∯2200=NaN","layer":1},{"info":"↞≼NaN=NaN","layer":0}]}
{"id":790,"expression_no_base_symbol":"(↨⩢⫨$1160$)⨂≜($2922$⨽$2994$)≹⇙⪍($1644$⨼⩣$4180$⇴(⊈$1793$))≦≮≮","expression":"(↨⩢⫨⪩⨒∯102020)⨂≜(⪩⨒∯231222⨽⪩⨒∯232302)≹⇙⪍(⪩⨒∯121230⨼⩣⪩⨒∯1001110⇴(⊈⪩⨒∯130001))≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3420,"operation_count":8,"complexity_ratio":427.5,"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":1160,"base":4}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2922,"base":4},"right_expr":{"type":"numeric_atoms","value":2994,"base":4}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1644,"base":4},"right_expr":{"type":"numeric_atoms","value":4180,"base":4}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"numeric_atoms","value":1793,"base":4}}}}},"used_operators":["D4vGDi5EA2","AHs5Up7iyr","k1SHOSEABc","Z5CJsN7DuW","8HhzD0ZcuI","4JB6nKBMSY","JxwMv5le6e","RHru8klgy8"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","NTOWxs364D","COABgblf1C","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","12rbrZMWeM","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1160","layer":4},{"info":"compute unary expreesion, input=1160, op_id = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":3},{"info":"number node, value=2922","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=2994, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25621920","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-25621920, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=1644","layer":4},{"info":"number node, value=4180","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=4180, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=1793","layer":4},{"info":"compute unary expreesion, input=1793, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1967","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1967, 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 = 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 unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↨⩢⫨⪩⨒∯102020)⨂≜(⪩⨒∯231222⨽⪩⨒∯232302)≹⇙⪍(⪩⨒∯121230⨼⩣⪩⨒∯1001110⇴(⊈⪩⨒∯130001))≦≮≮=NaN","reverse_text":"NaN=(↨⩢⫨⪩⨒∯102020)⨂≜(⪩⨒∯231222⨽⪩⨒∯232302)≹⇙⪍(⪩⨒∯121230⨼⩣⪩⨒∯1001110⇴(⊈⪩⨒∯130001))≦≮≮","cot":[{"info":"↨⩢⫨⪩⨒∯102020=⪩⨒∯0","layer":3},{"info":"⪩⨒∯231222⨽⪩⨒∯232302=⪩⨒∯-1201233112200","layer":3},{"info":"⪩⨒∯0⨂≜⪩⨒∯-1201233112200=NaN","layer":2},{"info":"⪩⨒∯121230⨼⩣⪩⨒∯1001110=NaN","layer":3},{"info":"⊈⪩⨒∯130001=⪩⨒∯-132233","layer":3},{"info":"NaN⇴⪩⨒∯-132233=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":791,"expression_no_base_symbol":"(($4705$→⨶⪴$6335$)⩁⩘($2195$⩹$1314$))≌(($2337$⫌⩹⨱)⫸⇳$1720$⊮⊟↴$2095$)⫯⪬∳($3376$⪭≯$1433$⇮⋭$5344$≨$5314$)≝⊿($2769$⨑≵⋬$1441$⊜)","expression":"((⪩⨒∯1021201→⨶⪴⪩⨒∯1202333)⩁⩘(⪩⨒∯202103⩹⪩⨒∯110202))≌((⪩⨒∯210201⫌⩹⨱)⫸⇳⪩⨒∯122320⊮⊟↴⪩⨒∯200233)⫯⪬∳(⪩⨒∯310300⪭≯⪩⨒∯112121⇮⋭⪩⨒∯1103200≨⪩⨒∯1103002)≝⊿(⪩⨒∯223101⨑≵⋬⪩⨒∯112201⊜)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":582,"operation_count":14,"complexity_ratio":41.57142857142857,"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":4705,"base":4},"right_expr":{"type":"numeric_atoms","value":6335,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2195,"base":4},"right_expr":{"type":"numeric_atoms","value":1314,"base":4}}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2337,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1720,"base":4},"right_expr":{"type":"numeric_atoms","value":2095,"base":4}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":3376,"base":4},"right_expr":{"type":"numeric_atoms","value":1433,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":5344,"base":4},"right_expr":{"type":"numeric_atoms","value":5314,"base":4}}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":2769,"base":4},"right_expr":{"type":"numeric_atoms","value":1441,"base":4}}}}},"used_operators":["d7ASUq0ydm","lyWz822IDG","gub5Cegaqo","bF6eod5Gvf","2Wsdkap16l","gx7XJ7hdpj","EBcxylXtPf","QDVgd2eftb","OKKcZfAt5B","vkpjKywKVM","XAx5wpdLa6","0KMCeP1Jsh","Eev2Q7dYIw","XnXgA4xnOs"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DpFCA1CohY","IWmyXbctLI","8w2t5hMYqp","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","12rbrZMWeM","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q"],"result":"⪩⨒∯2003121","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4705","layer":4},{"info":"number node, value=6335","layer":4},{"info":"compute binary expreesion, left_input=4705, right_input=6335, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-19005","layer":3},{"info":"number node, value=2195","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=1314, 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=1312","layer":3},{"info":"compute binary expreesion, left_input=-19005, right_input=1312, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=6196","layer":2},{"info":"number node, value=2337","layer":4},{"info":"compute unary expreesion, input=2337, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6075","layer":3},{"info":"number node, value=1720","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=2095, 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=6075, 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":2},{"info":"compute binary expreesion, left_input=6196, 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":1},{"info":"number node, value=3376","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=3376, right_input=1433, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"number node, value=5344","layer":4},{"info":"number node, value=5314","layer":4},{"info":"compute binary expreesion, left_input=5344, right_input=5314, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-50964","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-50964, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=2769","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=2769, right_input=1441, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=5137","layer":3},{"info":"compute unary expreesion, input=5137, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-18812","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-18812, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=37024","layer":1},{"info":"compute binary expreesion, left_input=9080, right_input=37024, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=8409","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1021201→⨶⪴⪩⨒∯1202333)⩁⩘(⪩⨒∯202103⩹⪩⨒∯110202))≌((⪩⨒∯210201⫌⩹⨱)⫸⇳⪩⨒∯122320⊮⊟↴⪩⨒∯200233)⫯⪬∳(⪩⨒∯310300⪭≯⪩⨒∯112121⇮⋭⪩⨒∯1103200≨⪩⨒∯1103002)≝⊿(⪩⨒∯223101⨑≵⋬⪩⨒∯112201⊜)=⪩⨒∯2003121","reverse_text":"⪩⨒∯2003121=((⪩⨒∯1021201→⨶⪴⪩⨒∯1202333)⩁⩘(⪩⨒∯202103⩹⪩⨒∯110202))≌((⪩⨒∯210201⫌⩹⨱)⫸⇳⪩⨒∯122320⊮⊟↴⪩⨒∯200233)⫯⪬∳(⪩⨒∯310300⪭≯⪩⨒∯112121⇮⋭⪩⨒∯1103200≨⪩⨒∯1103002)≝⊿(⪩⨒∯223101⨑≵⋬⪩⨒∯112201⊜)","cot":[{"info":"⪩⨒∯1021201→⨶⪴⪩⨒∯1202333=⪩⨒∯-10220331","layer":3},{"info":"⪩⨒∯202103⩹⪩⨒∯110202=⪩⨒∯110200","layer":3},{"info":"⪩⨒∯-10220331⩁⩘⪩⨒∯110200=⪩⨒∯1200310","layer":2},{"info":"⪩⨒∯210201⫌⩹⨱=⪩⨒∯1132323","layer":3},{"info":"⪩⨒∯122320⊮⊟↴⪩⨒∯200233=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1132323⫸⇳⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1200310≌⪩⨒∯0=⪩⨒∯2031320","layer":1},{"info":"⪩⨒∯310300⪭≯⪩⨒∯112121=NaN","layer":3},{"info":"⪩⨒∯1103200≨⪩⨒∯1103002=⪩⨒∯-30130110","layer":3},{"info":"NaN⇮⋭⪩⨒∯-30130110=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯223101⨑≵⋬⪩⨒∯112201=⪩⨒∯1100101","layer":3},{"info":"⪩⨒∯1100101⊜=⪩⨒∯-10211330","layer":2},{"info":"⪩⨒∯1003≝⊿⪩⨒∯-10211330=⪩⨒∯21002200","layer":1},{"info":"⪩⨒∯2031320⫯⪬∳⪩⨒∯21002200=⪩⨒∯2003121","layer":0}]}
{"id":792,"expression_no_base_symbol":"(($1852$∠⫱$9328$)≃(⫡⇟⇯$3358$))≚⊃≕($4783$⇡⇂$6530$⫒⫫($1394$⊀⩕))⋣⋖(($4758$≳⇉$1884$)⊴$1252$↳∿⪆$1672$⨳⩥⨓(∂($2321$⇌⫙⪟$2625$)))","expression":"((⪩⨒∯130330∠⫱⪩⨒∯2101300)≃(⫡⇟⇯⪩⨒∯310132))≚⊃≕(⪩⨒∯1022233⇡⇂⪩⨒∯1212002⫒⫫(⪩⨒∯111302⊀⩕))⋣⋖((⪩⨒∯1022112≳⇉⪩⨒∯131130)⊴⪩⨒∯103210↳∿⪆⪩⨒∯122020⨳⩥⨓(∂(⪩⨒∯210101⇌⫙⪟⪩⨒∯221001)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":33338764,"operation_count":14,"complexity_ratio":2381340.285714286,"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":1852,"base":4},"right_expr":{"type":"numeric_atoms","value":9328,"base":4}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"numeric_atoms","value":3358,"base":4}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":4783,"base":4},"right_expr":{"type":"numeric_atoms","value":6530,"base":4}},"right_expr":{"type":"unary","operator":"⊀⩕","unary_expr":{"type":"numeric_atoms","value":1394,"base":4}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":4758,"base":4},"right_expr":{"type":"numeric_atoms","value":1884,"base":4}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1252,"base":4},"right_expr":{"type":"numeric_atoms","value":1672,"base":4}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇌⫙⪟","left_expr":{"type":"numeric_atoms","value":2321,"base":4},"right_expr":{"type":"numeric_atoms","value":2625,"base":4}}}}},"used_operators":["J0M6qkBnIM","Bmrmz2XGnR","YbVcJGFEVW","QvoQhV0rrE","qWUSsah53b","6Ko8hGgeMq","UMwdvZNt44","r0FS3hW4cC","nCS4ZIUYfx","Nsiff2A1zJ","V0kx6qeWkN","Cw4SuJJGHO","Uaa54Peajs","AFVx7xoS7T"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","DZ8iAZOCBD","P8v4zCKN1o","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rGHVDoGpnC","nhYeJWJD5X","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1852","layer":4},{"info":"number node, value=9328","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=9328, 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=3358","layer":4},{"info":"compute unary expreesion, input=3358, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=7584","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=7584, 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":2},{"info":"number node, value=4783","layer":4},{"info":"number node, value=6530","layer":4},{"info":"compute binary expreesion, left_input=4783, right_input=6530, 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=1394","layer":4},{"info":"compute unary expreesion, input=1394, op_id = r0FS3hW4cC, unary_op_definition = 'a⊀⩕ = { (a⨟⋌⩍(181∇⊂⋱a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, 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 binary expreesion, left_input=-4976, 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=4758","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=4758, right_input=1884, 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=1252","layer":4},{"info":"number node, value=1672","layer":4},{"info":"compute binary expreesion, left_input=1252, right_input=1672, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2321","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=2321, right_input=2625, 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 = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-377","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-377, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', 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":4,"result_base":4,"text":"((⪩⨒∯130330∠⫱⪩⨒∯2101300)≃(⫡⇟⇯⪩⨒∯310132))≚⊃≕(⪩⨒∯1022233⇡⇂⪩⨒∯1212002⫒⫫(⪩⨒∯111302⊀⩕))⋣⋖((⪩⨒∯1022112≳⇉⪩⨒∯131130)⊴⪩⨒∯103210↳∿⪆⪩⨒∯122020⨳⩥⨓(∂(⪩⨒∯210101⇌⫙⪟⪩⨒∯221001)))=NaN","reverse_text":"NaN=((⪩⨒∯130330∠⫱⪩⨒∯2101300)≃(⫡⇟⇯⪩⨒∯310132))≚⊃≕(⪩⨒∯1022233⇡⇂⪩⨒∯1212002⫒⫫(⪩⨒∯111302⊀⩕))⋣⋖((⪩⨒∯1022112≳⇉⪩⨒∯131130)⊴⪩⨒∯103210↳∿⪆⪩⨒∯122020⨳⩥⨓(∂(⪩⨒∯210101⇌⫙⪟⪩⨒∯221001)))","cot":[{"info":"⪩⨒∯130330∠⫱⪩⨒∯2101300=⪩⨒∯103102","layer":3},{"info":"⫡⇟⇯⪩⨒∯310132=⪩⨒∯1312200","layer":3},{"info":"⪩⨒∯103102≃⪩⨒∯1312200=⪩⨒∯-1031300","layer":2},{"info":"⪩⨒∯1022233⇡⇂⪩⨒∯1212002=NaN","layer":3},{"info":"⪩⨒∯111302⊀⩕=⪩⨒∯0","layer":3},{"info":"NaN⫒⫫⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯-1031300≚⊃≕NaN=NaN","layer":1},{"info":"⪩⨒∯1022112≳⇉⪩⨒∯131130=NaN","layer":3},{"info":"⪩⨒∯103210↳∿⪆⪩⨒∯122020=NaN","layer":3},{"info":"NaN⊴NaN=NaN","layer":2},{"info":"⪩⨒∯210101⇌⫙⪟⪩⨒∯221001=⪩⨒∯1301","layer":3},{"info":"∂⪩⨒∯1301=⪩⨒∯-11321","layer":2},{"info":"NaN⨳⩥⨓⪩⨒∯-11321=NaN","layer":1},{"info":"NaN⋣⋖NaN=NaN","layer":0}]}
{"id":793,"expression_no_base_symbol":"(((∥⊫$1569$)≀⩗∶($5380$⨲))⪇≇⋚(⇘($1033$≎⊠⪸$4067$)))≌(($1152$⊲⩕⊾$4901$)⊕∕($1050$⩧⪆$5023$)∠↢(⇋↷$1343$)≧⫂∧$5584$⨟⋌⩍$7208$)","expression":"(((∥⊫⪩⨒∯120201)≀⩗∶(⪩⨒∯1110010⨲))⪇≇⋚(⇘(⪩⨒∯100021≎⊠⪸⪩⨒∯333203)))≌((⪩⨒∯102000⊲⩕⊾⪩⨒∯1030211)⊕∕(⪩⨒∯100122⩧⪆⪩⨒∯1032133)∠↢(⇋↷⪩⨒∯110333)≧⫂∧⪩⨒∯1113100⨟⋌⩍⪩⨒∯1300220)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1742950,"operation_count":14,"complexity_ratio":124496.42857142857,"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":1569,"base":4}},"right_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":5380,"base":4}}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1033,"base":4},"right_expr":{"type":"numeric_atoms","value":4067,"base":4}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1152,"base":4},"right_expr":{"type":"numeric_atoms","value":4901,"base":4}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1050,"base":4},"right_expr":{"type":"numeric_atoms","value":5023,"base":4}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1343,"base":4}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5584,"base":4},"right_expr":{"type":"numeric_atoms","value":7208,"base":4}}}}},"used_operators":["lyWz822IDG","3sJ7IOPOlU","8INZBEW696","P8v4zCKN1o","nLYMGWM7L8","MGuIdZPyUC","bJkvcejdHO","KbjG8mgYpV","9cloC0Ngie","DmTXOeWf9t","Ikt5ks8PT7","Ph9nP6C5qx","SWo3A1KBJH","rGHVDoGpnC"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","t8gj7n24qd","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1569","layer":4},{"info":"compute unary expreesion, input=1569, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2437","layer":3},{"info":"number node, value=5380","layer":4},{"info":"compute unary expreesion, input=5380, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=957090829","layer":3},{"info":"compute binary expreesion, left_input=2437, right_input=957090829, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-1178199","layer":2},{"info":"number node, value=1033","layer":4},{"info":"number node, value=4067","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=4067, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=267074","layer":3},{"info":"compute unary expreesion, input=267074, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=16018822","layer":2},{"info":"compute binary expreesion, left_input=-1178199, right_input=16018822, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=1152","layer":4},{"info":"number node, value=4901","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=4901, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-64072","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=5023","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=5023, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-5023","layer":3},{"info":"compute binary expreesion, left_input=-64072, right_input=-5023, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-64072","layer":2},{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=10744","layer":3},{"info":"number node, value=5584","layer":4},{"info":"number node, value=7208","layer":4},{"info":"compute binary expreesion, left_input=5584, right_input=7208, 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=10744, 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=-64072, 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=0, 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":4,"result_base":4,"text":"(((∥⊫⪩⨒∯120201)≀⩗∶(⪩⨒∯1110010⨲))⪇≇⋚(⇘(⪩⨒∯100021≎⊠⪸⪩⨒∯333203)))≌((⪩⨒∯102000⊲⩕⊾⪩⨒∯1030211)⊕∕(⪩⨒∯100122⩧⪆⪩⨒∯1032133)∠↢(⇋↷⪩⨒∯110333)≧⫂∧⪩⨒∯1113100⨟⋌⩍⪩⨒∯1300220)=NaN","reverse_text":"NaN=(((∥⊫⪩⨒∯120201)≀⩗∶(⪩⨒∯1110010⨲))⪇≇⋚(⇘(⪩⨒∯100021≎⊠⪸⪩⨒∯333203)))≌((⪩⨒∯102000⊲⩕⊾⪩⨒∯1030211)⊕∕(⪩⨒∯100122⩧⪆⪩⨒∯1032133)∠↢(⇋↷⪩⨒∯110333)≧⫂∧⪩⨒∯1113100⨟⋌⩍⪩⨒∯1300220)","cot":[{"info":"∥⊫⪩⨒∯120201=⪩⨒∯212011","layer":3},{"info":"⪩⨒∯1110010⨲=⪩⨒∯321003000300031","layer":3},{"info":"⪩⨒∯212011≀⩗∶⪩⨒∯321003000300031=⪩⨒∯-10133221113","layer":2},{"info":"⪩⨒∯100021≎⊠⪸⪩⨒∯333203=⪩⨒∯1001031002","layer":3},{"info":"⇘⪩⨒∯1001031002=⪩⨒∯331012312012","layer":2},{"info":"⪩⨒∯-10133221113⪇≇⋚⪩⨒∯331012312012=⪩⨒∯0","layer":1},{"info":"⪩⨒∯102000⊲⩕⊾⪩⨒∯1030211=⪩⨒∯-33221020","layer":3},{"info":"⪩⨒∯100122⩧⪆⪩⨒∯1032133=⪩⨒∯-1032133","layer":3},{"info":"⪩⨒∯-33221020⊕∕⪩⨒∯-1032133=⪩⨒∯-33221020","layer":2},{"info":"⇋↷⪩⨒∯110333=⪩⨒∯2213320","layer":3},{"info":"⪩⨒∯1113100⨟⋌⩍⪩⨒∯1300220=NaN","layer":3},{"info":"⪩⨒∯2213320≧⫂∧NaN=NaN","layer":2},{"info":"⪩⨒∯-33221020∠↢NaN=NaN","layer":1},{"info":"⪩⨒∯0≌NaN=NaN","layer":0}]}
{"id":794,"expression_no_base_symbol":"($2537$⩷∴$4241$⩒⫫($4517$≧⫂∧$6046$)⊦⊿)⪡(↥≼⋛($1063$⪟⇏$3001$⫌⩉⩟$1441$⇷$1052$))","expression":"(⪩⨒∯213221⩷∴⪩⨒∯1002101⩒⫫(⪩⨒∯1012211≧⫂∧⪩⨒∯1132132)⊦⊿)⪡(↥≼⋛(⪩⨒∯100213⪟⇏⪩⨒∯232321⫌⩉⩟⪩⨒∯112201⇷⪩⨒∯100130))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":32265,"operation_count":9,"complexity_ratio":3585.0,"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":2537,"base":4},"right_expr":{"type":"numeric_atoms","value":4241,"base":4}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4517,"base":4},"right_expr":{"type":"numeric_atoms","value":6046,"base":4}}}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1063,"base":4},"right_expr":{"type":"numeric_atoms","value":3001,"base":4}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1441,"base":4},"right_expr":{"type":"numeric_atoms","value":1052,"base":4}}}}},"used_operators":["oraRL2iQuh","14qkJME0vr","KFSx94NKJn","9FxExcQeMw","Ph9nP6C5qx","x5lMkHmzsq","XIIwhv8d0m","GODebY97qR","mp7IySMOzn"],"dependent_operators":["2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"⪩⨒∯200212","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2537","layer":4},{"info":"number node, value=4241","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=4241, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3440","layer":3},{"info":"number node, value=4517","layer":4},{"info":"number node, value=6046","layer":4},{"info":"compute binary expreesion, left_input=4517, right_input=6046, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5573","layer":3},{"info":"compute binary expreesion, left_input=-3440, right_input=5573, 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":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":"number node, value=1063","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=3001, 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=1441","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=1052, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2104","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=2104, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute unary expreesion, input=-50, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-17","layer":1},{"info":"compute binary expreesion, left_input=-559, right_input=-17, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=2086","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯213221⩷∴⪩⨒∯1002101⩒⫫(⪩⨒∯1012211≧⫂∧⪩⨒∯1132132)⊦⊿)⪡(↥≼⋛(⪩⨒∯100213⪟⇏⪩⨒∯232321⫌⩉⩟⪩⨒∯112201⇷⪩⨒∯100130))=⪩⨒∯200212","reverse_text":"⪩⨒∯200212=(⪩⨒∯213221⩷∴⪩⨒∯1002101⩒⫫(⪩⨒∯1012211≧⫂∧⪩⨒∯1132132)⊦⊿)⪡(↥≼⋛(⪩⨒∯100213⪟⇏⪩⨒∯232321⫌⩉⩟⪩⨒∯112201⇷⪩⨒∯100130))","cot":[{"info":"⪩⨒∯213221⩷∴⪩⨒∯1002101=⪩⨒∯-311300","layer":3},{"info":"⪩⨒∯1012211≧⫂∧⪩⨒∯1132132=⪩⨒∯1113011","layer":3},{"info":"⪩⨒∯-311300⩒⫫⪩⨒∯1113011=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯2200⊦⊿=⪩⨒∯-20233","layer":1},{"info":"⪩⨒∯100213⪟⇏⪩⨒∯232321=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯112201⇷⪩⨒∯100130=⪩⨒∯200320","layer":3},{"info":"⪩⨒∯-1⫌⩉⩟⪩⨒∯200320=⪩⨒∯-302","layer":2},{"info":"↥≼⋛⪩⨒∯-302=⪩⨒∯-101","layer":1},{"info":"⪩⨒∯-20233⪡⪩⨒∯-101=⪩⨒∯200212","layer":0}]}
{"id":795,"expression_no_base_symbol":"($1349$≁↽≥$1083$⨔⇊($1072$⪮%⊝$4282$))⫗⊷⫓($5245$⨰$2336$+$1363$↱$5375$)⊋≦⊧($5948$⋣⋖$6016$⊭↱($4611$⇡))↹⊜$1733$⊮⊟↴$5712$⩖⊿($2121$↠)","expression":"(⪩⨒∯111011≁↽≥⪩⨒∯100323⨔⇊(⪩⨒∯100300⪮%⊝⪩⨒∯1002322))⫗⊷⫓(⪩⨒∯1101331⨰⪩⨒∯210200+⪩⨒∯111103↱⪩⨒∯1103333)⊋≦⊧(⪩⨒∯1130330⋣⋖⪩⨒∯1132000⊭↱(⪩⨒∯1020003⇡))↹⊜⪩⨒∯123011⊮⊟↴⪩⨒∯1121100⩖⊿(⪩⨒∯201021↠)","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":938,"operation_count":15,"complexity_ratio":62.53333333333333,"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":1349,"base":4},"right_expr":{"type":"numeric_atoms","value":1083,"base":4}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1072,"base":4},"right_expr":{"type":"numeric_atoms","value":4282,"base":4}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5245,"base":4},"right_expr":{"type":"numeric_atoms","value":2336,"base":4}},"right_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":1363,"base":4},"right_expr":{"type":"numeric_atoms","value":5375,"base":4}}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":5948,"base":4},"right_expr":{"type":"numeric_atoms","value":6016,"base":4}},"right_expr":{"type":"unary","operator":"⇡","unary_expr":{"type":"numeric_atoms","value":4611,"base":4}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":1733,"base":4},"right_expr":{"type":"numeric_atoms","value":5712,"base":4}},"right_expr":{"type":"unary","operator":"↠","unary_expr":{"type":"numeric_atoms","value":2121,"base":4}}}}},"used_operators":["oRDoc9rAEX","zashukvMKz","JclMnS0uGI","ncHt1X6cMc","IWmyXbctLI","W4YGzv6Whe","eewbuw0ToL","SR5kFfdi6N","9bazX3JMtO","COABgblf1C","J0M6qkBnIM","UqFzSgLMvQ","RZ5CV9rWsJ","QDVgd2eftb","LBdsKIvxzf"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","t8gj7n24qd","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","3sJ7IOPOlU","sJAwomhLZr","4JB6nKBMSY","k2HlF1dBQh","BiWNJpBvwn","YSKBFp38Pu","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","d7ASUq0ydm","rysDP5nf3Z","Noe24qw2ks","xRrnTEsQ6j","dfKe02y8D2","Tw270M8GLb"],"result":"⪩⨒∯3000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1349","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=1083, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=25215","layer":3},{"info":"number node, value=1072","layer":4},{"info":"number node, value=4282","layer":4},{"info":"compute binary expreesion, left_input=1072, right_input=4282, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2460","layer":3},{"info":"compute binary expreesion, left_input=25215, right_input=2460, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=2460","layer":2},{"info":"number node, value=5245","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=5245, right_input=2336, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2919","layer":3},{"info":"number node, value=1363","layer":4},{"info":"number node, value=5375","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=5375, 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=-15603","layer":3},{"info":"compute binary expreesion, left_input=2919, right_input=-15603, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-12684","layer":2},{"info":"compute binary expreesion, left_input=2460, right_input=-12684, 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":"number node, value=5948","layer":4},{"info":"number node, value=6016","layer":4},{"info":"compute binary expreesion, left_input=5948, right_input=6016, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=5948","layer":3},{"info":"number node, value=4611","layer":4},{"info":"compute unary expreesion, input=4611, op_id = UqFzSgLMvQ, unary_op_definition = 'a⇡ = { (((a⇴a)⪇≇⋚(∤27))⇤((a⩍⋽⫝̸27)⩠)) }', output=-2917","layer":3},{"info":"compute binary expreesion, left_input=5948, right_input=-2917, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-17725","layer":2},{"info":"number node, value=1733","layer":4},{"info":"number node, value=5712","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=5712, 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=2121","layer":4},{"info":"compute unary expreesion, input=2121, op_id = LBdsKIvxzf, unary_op_definition = 'a↠ = { ((⨰⫟⨤603)⨐(a⫯⪬∳a)) , if (a⫁⪎18)<=15 ; (167⫚↹⊑(a-a)) , else }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-447, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=2808","layer":2},{"info":"compute binary expreesion, left_input=-17725, right_input=2808, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-22560","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-22560, 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":0}],"base":4,"result_base":4,"text":"(⪩⨒∯111011≁↽≥⪩⨒∯100323⨔⇊(⪩⨒∯100300⪮%⊝⪩⨒∯1002322))⫗⊷⫓(⪩⨒∯1101331⨰⪩⨒∯210200+⪩⨒∯111103↱⪩⨒∯1103333)⊋≦⊧(⪩⨒∯1130330⋣⋖⪩⨒∯1132000⊭↱(⪩⨒∯1020003⇡))↹⊜⪩⨒∯123011⊮⊟↴⪩⨒∯1121100⩖⊿(⪩⨒∯201021↠)=⪩⨒∯3000","reverse_text":"⪩⨒∯3000=(⪩⨒∯111011≁↽≥⪩⨒∯100323⨔⇊(⪩⨒∯100300⪮%⊝⪩⨒∯1002322))⫗⊷⫓(⪩⨒∯1101331⨰⪩⨒∯210200+⪩⨒∯111103↱⪩⨒∯1103333)⊋≦⊧(⪩⨒∯1130330⋣⋖⪩⨒∯1132000⊭↱(⪩⨒∯1020003⇡))↹⊜⪩⨒∯123011⊮⊟↴⪩⨒∯1121100⩖⊿(⪩⨒∯201021↠)","cot":[{"info":"⪩⨒∯111011≁↽≥⪩⨒∯100323=⪩⨒∯12021333","layer":3},{"info":"⪩⨒∯100300⪮%⊝⪩⨒∯1002322=⪩⨒∯212130","layer":3},{"info":"⪩⨒∯12021333⨔⇊⪩⨒∯212130=⪩⨒∯212130","layer":2},{"info":"⪩⨒∯1101331⨰⪩⨒∯210200=⪩⨒∯231213","layer":3},{"info":"⪩⨒∯111103↱⪩⨒∯1103333=⪩⨒∯-3303303","layer":3},{"info":"⪩⨒∯231213+⪩⨒∯-3303303=⪩⨒∯-3012030","layer":2},{"info":"⪩⨒∯212130⫗⊷⫓⪩⨒∯-3012030=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯1130330⋣⋖⪩⨒∯1132000=⪩⨒∯1130330","layer":3},{"info":"⪩⨒∯1020003⇡=⪩⨒∯-231211","layer":3},{"info":"⪩⨒∯1130330⊭↱⪩⨒∯-231211=⪩⨒∯-10110331","layer":2},{"info":"⪩⨒∯123011⊮⊟↴⪩⨒∯1121100=⪩⨒∯0","layer":3},{"info":"⪩⨒∯201021↠=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯0⩖⊿⪩⨒∯-12333=⪩⨒∯223320","layer":2},{"info":"⪩⨒∯-10110331↹⊜⪩⨒∯223320=⪩⨒∯-11200200","layer":1},{"info":"⪩⨒∯-2012⊋≦⊧⪩⨒∯-11200200=⪩⨒∯3000","layer":0}]}
{"id":796,"expression_no_base_symbol":"((⇖⫷⫕$2180$)∛($4451$⫲)⨻⩈⩔(⇺⋃($7214$⫥∨⫟$1849$)))⇂≾⫗(((⫎≠⋺$1630$)⨚⇆$1089$⫣⪄⊒$1838$)≌((⫵↿$7474$)⨸⪁$3748$∴$6753$))","expression":"((⇖⫷⫕⪩⨒∯202010)∛(⪩⨒∯1011203⫲)⨻⩈⩔(⇺⋃(⪩⨒∯1300232⫥∨⫟⪩⨒∯130321)))⇂≾⫗(((⫎≠⋺⪩⨒∯121132)⨚⇆⪩⨒∯101001⫣⪄⊒⪩⨒∯130232)≌((⫵↿⪩⨒∯1310302)⨸⪁⪩⨒∯322210∴⪩⨒∯1221201))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":20019,"operation_count":14,"complexity_ratio":1429.9285714285713,"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":2180,"base":4}},"right_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":4451,"base":4}}},"right_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":7214,"base":4},"right_expr":{"type":"numeric_atoms","value":1849,"base":4}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1630,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1089,"base":4},"right_expr":{"type":"numeric_atoms","value":1838,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":7474,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3748,"base":4},"right_expr":{"type":"numeric_atoms","value":6753,"base":4}}}}},"used_operators":["aBQ6xLxuTc","nEsXyWgiOK","w2537kitQq","UHmRx3INFg","9xnGDUPbC6","E5v5B3UAjG","KYD54nUTWz","lyWz822IDG","lwHaAYXP2r","LYeZOJ0nQG","RabNbG55vr","g55IO6H4Gj","ivGwdmUAux","hrf7POJlIJ"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","W4YGzv6Whe","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2180","layer":4},{"info":"compute unary expreesion, input=2180, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=4451","layer":4},{"info":"compute unary expreesion, input=4451, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=4178","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=4178, 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":"number node, value=7214","layer":4},{"info":"number node, value=1849","layer":4},{"info":"compute binary expreesion, left_input=7214, right_input=1849, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-670, 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=1630","layer":4},{"info":"compute unary expreesion, input=1630, 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=1089","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=1838, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-9362","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-9362, op_id = lwHaAYXP2r binary_op_definition= 'a⨚⇆b = { (a∀⇚≩(b⊲⩕⊾a)) , if (⇙⪊b)<61 ; ((36∓⋝b)∀⇚≩(a⫸⇳b)) , else }', output=-10110","layer":2},{"info":"number node, value=7474","layer":4},{"info":"compute unary expreesion, input=7474, 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=3748","layer":4},{"info":"number node, value=6753","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=6753, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=9144","layer":3},{"info":"compute binary expreesion, left_input=137, right_input=9144, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18562","layer":2},{"info":"compute binary expreesion, left_input=-10110, right_input=18562, 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=nan, right_input=nan, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⇖⫷⫕⪩⨒∯202010)∛(⪩⨒∯1011203⫲)⨻⩈⩔(⇺⋃(⪩⨒∯1300232⫥∨⫟⪩⨒∯130321)))⇂≾⫗(((⫎≠⋺⪩⨒∯121132)⨚⇆⪩⨒∯101001⫣⪄⊒⪩⨒∯130232)≌((⫵↿⪩⨒∯1310302)⨸⪁⪩⨒∯322210∴⪩⨒∯1221201))=NaN","reverse_text":"NaN=((⇖⫷⫕⪩⨒∯202010)∛(⪩⨒∯1011203⫲)⨻⩈⩔(⇺⋃(⪩⨒∯1300232⫥∨⫟⪩⨒∯130321)))⇂≾⫗(((⫎≠⋺⪩⨒∯121132)⨚⇆⪩⨒∯101001⫣⪄⊒⪩⨒∯130232)≌((⫵↿⪩⨒∯1310302)⨸⪁⪩⨒∯322210∴⪩⨒∯1221201))","cot":[{"info":"⇖⫷⫕⪩⨒∯202010=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯1011203⫲=⪩⨒∯1001102","layer":3},{"info":"⪩⨒∯230012∛⪩⨒∯1001102=⪩⨒∯-22132","layer":2},{"info":"⪩⨒∯1300232⫥∨⫟⪩⨒∯130321=NaN","layer":3},{"info":"⇺⋃NaN=NaN","layer":2},{"info":"⪩⨒∯-22132⨻⩈⩔NaN=NaN","layer":1},{"info":"⫎≠⋺⪩⨒∯121132=⪩⨒∯0","layer":3},{"info":"⪩⨒∯101001⫣⪄⊒⪩⨒∯130232=⪩⨒∯-2102102","layer":3},{"info":"⪩⨒∯0⨚⇆⪩⨒∯-2102102=⪩⨒∯-2131332","layer":2},{"info":"⫵↿⪩⨒∯1310302=⪩⨒∯2021","layer":3},{"info":"⪩⨒∯322210∴⪩⨒∯1221201=⪩⨒∯2032320","layer":3},{"info":"⪩⨒∯2021⨸⪁⪩⨒∯2032320=⪩⨒∯10202002","layer":2},{"info":"⪩⨒∯-2131332≌⪩⨒∯10202002=NaN","layer":1},{"info":"NaN⇂≾⫗NaN=NaN","layer":0}]}
{"id":797,"expression_no_base_symbol":"↯⪼(⫎≠⋺(($2385$⋭≵$5102$)⫑%∭))","expression":"↯⪼(⫎≠⋺((⪩⨒∯211101⋭≵⪩⨒∯1033232)⫑%∭))","highest_n_order":4,"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":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2385,"base":4},"right_expr":{"type":"numeric_atoms","value":5102,"base":4}}}}},"used_operators":["8jW3W4yZS5","LYeZOJ0nQG","xUx7qlDO4z","jBncVCNhdl"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","GODebY97qR","qWUSsah53b","XhwjNDsVaA","oZj3VtZNQx","KYD54nUTWz","nREPSIbpBE","rGHVDoGpnC","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⪩⨒∯-111","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=2385","layer":4},{"info":"number node, value=5102","layer":4},{"info":"compute binary expreesion, left_input=2385, right_input=5102, 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 = xUx7qlDO4z, unary_op_definition = 'a⫑%∭ = { (((a⨟⋌⩍23)⫥∨⫟(a≀⫉a))/((a⨚141)⪟⇏(⫡⇟⇯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 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":4,"result_base":4,"text":"↯⪼(⫎≠⋺((⪩⨒∯211101⋭≵⪩⨒∯1033232)⫑%∭))=⪩⨒∯-111","reverse_text":"⪩⨒∯-111=↯⪼(⫎≠⋺((⪩⨒∯211101⋭≵⪩⨒∯1033232)⫑%∭))","cot":[{"info":"⪩⨒∯211101⋭≵⪩⨒∯1033232=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1003⫑%∭=NaN","layer":2},{"info":"⫎≠⋺NaN=NaN","layer":1},{"info":"↯⪼NaN=⪩⨒∯-111","layer":0}]}
{"id":798,"expression_no_base_symbol":"((($1088$⋳⪒$1185$)⫑)≭($6218$⊬⨰$2381$⫚↹⊑$1332$⊲⩕⊾$5267$))⇣⩺⋵((≦∁(∂⩏⊆$1582$))∠↢(($4928$⨒$3745$)∠⫱($2523$≚⋢)))","expression":"(((⪩⨒∯101000⋳⪒⪩⨒∯102201)⫑)≭(⪩⨒∯1201022⊬⨰⪩⨒∯211031⫚↹⊑⪩⨒∯110310⊲⩕⊾⪩⨒∯1102103))⇣⩺⋵((≦∁(∂⩏⊆⪩⨒∯120232))∠↢((⪩⨒∯1031000⨒⪩⨒∯322201)∠⫱(⪩⨒∯213123≚⋢)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":433,"operation_count":13,"complexity_ratio":33.30769230769231,"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":1088,"base":4},"right_expr":{"type":"numeric_atoms","value":1185,"base":4}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":6218,"base":4},"right_expr":{"type":"numeric_atoms","value":2381,"base":4}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1332,"base":4},"right_expr":{"type":"numeric_atoms","value":5267,"base":4}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"numeric_atoms","value":1582,"base":4}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":4928,"base":4},"right_expr":{"type":"numeric_atoms","value":3745,"base":4}},"right_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2523,"base":4}}}}},"used_operators":["F4yD0voBRQ","rxpJgHHUmx","CgIo77xlM2","12rbrZMWeM","dfKe02y8D2","s3Fd5m9Dh2","DmTXOeWf9t","KbjG8mgYpV","9ICcGScMcE","8WDwsbhb0R","QvoQhV0rrE","y75s1iXyHd","MahUMFw56D"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","AHs5Up7iyr","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","14qkJME0vr","eLAdDNolq6","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","3ViojmjbAp"],"result":"⪩⨒∯-10010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1088","layer":4},{"info":"number node, value=1185","layer":4},{"info":"compute binary expreesion, left_input=1088, right_input=1185, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=704","layer":3},{"info":"compute unary expreesion, input=704, 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=6218","layer":4},{"info":"number node, value=2381","layer":4},{"info":"compute binary expreesion, left_input=6218, right_input=2381, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=14686","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=5267","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=5267, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-70612","layer":3},{"info":"compute binary expreesion, left_input=14686, right_input=-70612, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-447, 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=1582","layer":4},{"info":"compute unary expreesion, input=1582, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-4825","layer":3},{"info":"compute unary expreesion, input=-4825, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"number node, value=4928","layer":4},{"info":"number node, value=3745","layer":4},{"info":"compute binary expreesion, left_input=4928, right_input=3745, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-29196","layer":3},{"info":"number node, value=2523","layer":4},{"info":"compute unary expreesion, input=2523, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute binary expreesion, left_input=-29196, right_input=-89, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-29107","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-29107, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=408312","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=408312, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯101000⋳⪒⪩⨒∯102201)⫑)≭(⪩⨒∯1201022⊬⨰⪩⨒∯211031⫚↹⊑⪩⨒∯110310⊲⩕⊾⪩⨒∯1102103))⇣⩺⋵((≦∁(∂⩏⊆⪩⨒∯120232))∠↢((⪩⨒∯1031000⨒⪩⨒∯322201)∠⫱(⪩⨒∯213123≚⋢)))=⪩⨒∯-10010","reverse_text":"⪩⨒∯-10010=(((⪩⨒∯101000⋳⪒⪩⨒∯102201)⫑)≭(⪩⨒∯1201022⊬⨰⪩⨒∯211031⫚↹⊑⪩⨒∯110310⊲⩕⊾⪩⨒∯1102103))⇣⩺⋵((≦∁(∂⩏⊆⪩⨒∯120232))∠↢((⪩⨒∯1031000⨒⪩⨒∯322201)∠⫱(⪩⨒∯213123≚⋢)))","cot":[{"info":"⪩⨒∯101000⋳⪒⪩⨒∯102201=⪩⨒∯23000","layer":3},{"info":"⪩⨒∯23000⫑=⪩⨒∯332023","layer":2},{"info":"⪩⨒∯1201022⊬⨰⪩⨒∯211031=⪩⨒∯3211132","layer":3},{"info":"⪩⨒∯110310⊲⩕⊾⪩⨒∯1102103=⪩⨒∯-101033110","layer":3},{"info":"⪩⨒∯3211132⫚↹⊑⪩⨒∯-101033110=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯332023≭⪩⨒∯-12333=NaN","layer":1},{"info":"∂⩏⊆⪩⨒∯120232=⪩⨒∯-1023121","layer":3},{"info":"≦∁⪩⨒∯-1023121=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯1031000⨒⪩⨒∯322201=⪩⨒∯-13020030","layer":3},{"info":"⪩⨒∯213123≚⋢=⪩⨒∯-1121","layer":3},{"info":"⪩⨒∯-13020030∠⫱⪩⨒∯-1121=⪩⨒∯-13012303","layer":2},{"info":"⪩⨒∯1003∠↢⪩⨒∯-13012303=⪩⨒∯1203223320","layer":1},{"info":"NaN⇣⩺⋵⪩⨒∯1203223320=⪩⨒∯-10010","layer":0}]}
{"id":799,"expression_no_base_symbol":"(($1214$⋹)⩵∡$7004$⪔⊥$1219$)⨂≜(($1627$∠⫱$3921$)⫑)⪄((⋂($4867$∷$4109$))%($1398$⫌⩉⩟$3202$)≁↽≥(⨂⪏⇭$3755$))","expression":"((⪩⨒∯102332⋹)⩵∡⪩⨒∯1231130⪔⊥⪩⨒∯103003)⨂≜((⪩⨒∯121123∠⫱⪩⨒∯331101)⫑)⪄((⋂(⪩⨒∯1030003∷⪩⨒∯1000031))%(⪩⨒∯111312⫌⩉⩟⪩⨒∯302002)≁↽≥(⨂⪏⇭⪩⨒∯322223))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":45030,"operation_count":13,"complexity_ratio":3463.846153846154,"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":1214,"base":4}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":7004,"base":4},"right_expr":{"type":"numeric_atoms","value":1219,"base":4}}},"right_expr":{"type":"unary","operator":"⫑","unary_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1627,"base":4},"right_expr":{"type":"numeric_atoms","value":3921,"base":4}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"∷","left_expr":{"type":"numeric_atoms","value":4867,"base":4},"right_expr":{"type":"numeric_atoms","value":4109,"base":4}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1398,"base":4},"right_expr":{"type":"numeric_atoms","value":3202,"base":4}},"right_expr":{"type":"unary","operator":"⨂⪏⇭","unary_expr":{"type":"numeric_atoms","value":3755,"base":4}}}}},"used_operators":["SUmda5xLS4","k1SHOSEABc","Y7wcNGrDQJ","opAxDRczMr","HJ9erzHUuu","CgIo77xlM2","QvoQhV0rrE","k8jYdgA6NY","BUOGQAYlQx","D3AQDKkPcf","ncHt1X6cMc","XIIwhv8d0m","AYdpE9sXAk"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","glklzrTFfD","tifHPKVTfV","13rbtpv6ld","mp7IySMOzn","z63VuFQld9","aN9a90urxU","27wFxooxGf","SVb2v531z1","eewbuw0ToL","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","cWQsF5MvuD","zR4jO40bMj","SUmda5xLS4","DZ8iAZOCBD","PxpmPgHHJV","ocnLzx9CaJ","Z5m6OM72h2","mqXw5SEYmG","8cLx32lpNA","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","9FxExcQeMw","NTOWxs364D","7j4O788W3g","oWn0xqSxBt","3Oe9XWJUTD","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eewbuw0ToL","NTOWxs364D","EBcxylXtPf"],"result":"⪩⨒∯332023","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1214","layer":4},{"info":"compute unary expreesion, input=1214, 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=7004","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=7004, right_input=1219, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=25379","layer":3},{"info":"compute binary expreesion, left_input=-20, right_input=25379, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=25318","layer":2},{"info":"number node, value=1627","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=3921, 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 = CgIo77xlM2, unary_op_definition = 'a⫑ = { (((a⊉≛↸377)⩼⇪↪(a∘a))⪄(841⪶≀⋏a)) , if (a⫸⊐7)<631 ; ((↓⇌(a∌a))⨌↪) , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=25318, right_input=3979, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":1},{"info":"number node, value=4867","layer":4},{"info":"number node, value=4109","layer":4},{"info":"compute binary expreesion, left_input=4867, right_input=4109, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=4109","layer":3},{"info":"compute unary expreesion, input=4109, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-56930","layer":2},{"info":"number node, value=1398","layer":4},{"info":"number node, value=3202","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=3202, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=3755","layer":4},{"info":"compute unary expreesion, input=3755, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=10286","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=10286, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=9182","layer":2},{"info":"compute binary expreesion, left_input=-56930, right_input=9182, op_id = k8jYdgA6NY binary_op_definition= 'None', output=7344","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7344, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯102332⋹)⩵∡⪩⨒∯1231130⪔⊥⪩⨒∯103003)⨂≜((⪩⨒∯121123∠⫱⪩⨒∯331101)⫑)⪄((⋂(⪩⨒∯1030003∷⪩⨒∯1000031))%(⪩⨒∯111312⫌⩉⩟⪩⨒∯302002)≁↽≥(⨂⪏⇭⪩⨒∯322223))=⪩⨒∯332023","reverse_text":"⪩⨒∯332023=((⪩⨒∯102332⋹)⩵∡⪩⨒∯1231130⪔⊥⪩⨒∯103003)⨂≜((⪩⨒∯121123∠⫱⪩⨒∯331101)⫑)⪄((⋂(⪩⨒∯1030003∷⪩⨒∯1000031))%(⪩⨒∯111312⫌⩉⩟⪩⨒∯302002)≁↽≥(⨂⪏⇭⪩⨒∯322223))","cot":[{"info":"⪩⨒∯102332⋹=⪩⨒∯-110","layer":3},{"info":"⪩⨒∯1231130⪔⊥⪩⨒∯103003=⪩⨒∯12030203","layer":3},{"info":"⪩⨒∯-110⩵∡⪩⨒∯12030203=⪩⨒∯12023212","layer":2},{"info":"⪩⨒∯121123∠⫱⪩⨒∯331101=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯103102⫑=⪩⨒∯332023","layer":2},{"info":"⪩⨒∯12023212⨂≜⪩⨒∯332023=NaN","layer":1},{"info":"⪩⨒∯1030003∷⪩⨒∯1000031=⪩⨒∯1000031","layer":3},{"info":"⋂⪩⨒∯1000031=⪩⨒∯-31321202","layer":2},{"info":"⪩⨒∯111312⫌⩉⩟⪩⨒∯302002=⪩⨒∯-302","layer":3},{"info":"⨂⪏⇭⪩⨒∯322223=⪩⨒∯2200232","layer":3},{"info":"⪩⨒∯-302≁↽≥⪩⨒∯2200232=⪩⨒∯2033132","layer":2},{"info":"⪩⨒∯-31321202%⪩⨒∯2033132=⪩⨒∯1302300","layer":1},{"info":"NaN⪄⪩⨒∯1302300=⪩⨒∯332023","layer":0}]}
{"id":800,"expression_no_base_symbol":"⩪∧⨌(⋣($1683$≃$1602$))≁(($4045$⋅⇍$2601$)⋣⋖$1661$∛$6658$)","expression":"⩪∧⨌(⋣(⪩⨒∯122103≃⪩⨒∯121002))≁((⪩⨒∯333031⋅⇍⪩⨒∯220221)⋣⋖⪩⨒∯121331∛⪩⨒∯1220002)","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":1683,"base":4},"right_expr":{"type":"numeric_atoms","value":1602,"base":4}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"numeric_atoms","value":4045,"base":4},"right_expr":{"type":"numeric_atoms","value":2601,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1661,"base":4},"right_expr":{"type":"numeric_atoms","value":6658,"base":4}}}}},"used_operators":["6iOiAJX1F8","8N2wDY1A35","zQWRhDnn8F","YbVcJGFEVW","J0M6qkBnIM","AdZkA7nFnk","w2537kitQq"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⪩⨒∯-121321002","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1683","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=1602, 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=-6772","layer":3},{"info":"compute unary expreesion, input=-6772, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"number node, value=4045","layer":4},{"info":"number node, value=2601","layer":4},{"info":"compute binary expreesion, left_input=4045, right_input=2601, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":3},{"info":"number node, value=1661","layer":4},{"info":"number node, value=6658","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=6658, 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=-22, right_input=-670, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-22","layer":2},{"info":"compute binary expreesion, left_input=-113, right_input=-22, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-10605","layer":1},{"info":"compute unary expreesion, input=-10605, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-106050","layer":0}],"base":4,"result_base":4,"text":"⩪∧⨌(⋣(⪩⨒∯122103≃⪩⨒∯121002))≁((⪩⨒∯333031⋅⇍⪩⨒∯220221)⋣⋖⪩⨒∯121331∛⪩⨒∯1220002)=⪩⨒∯-121321002","reverse_text":"⪩⨒∯-121321002=⩪∧⨌(⋣(⪩⨒∯122103≃⪩⨒∯121002))≁((⪩⨒∯333031⋅⇍⪩⨒∯220221)⋣⋖⪩⨒∯121331∛⪩⨒∯1220002)","cot":[{"info":"⪩⨒∯122103≃⪩⨒∯121002=⪩⨒∯-1221310","layer":3},{"info":"⋣⪩⨒∯-1221310=⪩⨒∯-1301","layer":2},{"info":"⪩⨒∯333031⋅⇍⪩⨒∯220221=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯121331∛⪩⨒∯1220002=⪩⨒∯-22132","layer":3},{"info":"⪩⨒∯-112⋣⋖⪩⨒∯-22132=⪩⨒∯-112","layer":2},{"info":"⪩⨒∯-1301≁⪩⨒∯-112=⪩⨒∯-2211231","layer":1},{"info":"⩪∧⨌⪩⨒∯-2211231=⪩⨒∯-121321002","layer":0}]}
{"id":801,"expression_no_base_symbol":"($2209$⇌⫙⪟$3270$↱(⪸$2663$))⋝⋈⪟($4752$⋓$1116$⪒$2271$⩁⩘$4677$)∠⫱((∤↝($1548$⪄$2566$))⇼⇔∾($3084$⇴$1273$)⪃⊛⇣(↪⫪⫘$1388$))","expression":"(⪩⨒∯202201⇌⫙⪟⪩⨒∯303012↱(⪸⪩⨒∯221213))⋝⋈⪟(⪩⨒∯1022100⋓⪩⨒∯101130⪒⪩⨒∯203133⩁⩘⪩⨒∯1021011)∠⫱((∤↝(⪩⨒∯120030⪄⪩⨒∯220012))⇼⇔∾(⪩⨒∯300030⇴⪩⨒∯103321)⪃⊛⇣(↪⫪⫘⪩⨒∯111230))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":916,"operation_count":14,"complexity_ratio":65.42857142857143,"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":2209,"base":4},"right_expr":{"type":"numeric_atoms","value":3270,"base":4}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":2663,"base":4}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4752,"base":4},"right_expr":{"type":"numeric_atoms","value":1116,"base":4}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":2271,"base":4},"right_expr":{"type":"numeric_atoms","value":4677,"base":4}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1548,"base":4},"right_expr":{"type":"numeric_atoms","value":2566,"base":4}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":3084,"base":4},"right_expr":{"type":"numeric_atoms","value":1273,"base":4}},"right_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1388,"base":4}}}}},"used_operators":["QvoQhV0rrE","2DDjHMKMc0","SR5kFfdi6N","AFVx7xoS7T","86A5ENbKR9","f6k1SAg4EE","T2fj7uvVaJ","gub5Cegaqo","tifHPKVTfV","3UMq87Qwqg","SUmda5xLS4","rrgAzCduG9","4JB6nKBMSY","9dWsAM3GFt"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","sdazOOVcIp","NTOWxs364D","COABgblf1C","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"⪩⨒∯103102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2209","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=2209, right_input=3270, 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":"number node, value=2663","layer":4},{"info":"compute unary expreesion, input=2663, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-45062","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-45062, 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=-345184","layer":2},{"info":"number node, value=4752","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=4752, right_input=1116, 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=2271","layer":4},{"info":"number node, value=4677","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=4677, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=19656","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=19656, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-19656","layer":2},{"info":"compute binary expreesion, left_input=-345184, right_input=-19656, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-345184","layer":1},{"info":"number node, value=1548","layer":4},{"info":"number node, value=2566","layer":4},{"info":"compute binary expreesion, left_input=1548, right_input=2566, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-235457","layer":3},{"info":"compute unary expreesion, input=-235457, 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=-235457","layer":2},{"info":"number node, value=3084","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=1273, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=20664","layer":3},{"info":"number node, value=1388","layer":4},{"info":"compute unary expreesion, input=1388, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute binary expreesion, left_input=20664, right_input=20, 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=-235457, right_input=1234, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=236691","layer":1},{"info":"compute binary expreesion, left_input=-345184, right_input=236691, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯202201⇌⫙⪟⪩⨒∯303012↱(⪸⪩⨒∯221213))⋝⋈⪟(⪩⨒∯1022100⋓⪩⨒∯101130⪒⪩⨒∯203133⩁⩘⪩⨒∯1021011)∠⫱((∤↝(⪩⨒∯120030⪄⪩⨒∯220012))⇼⇔∾(⪩⨒∯300030⇴⪩⨒∯103321)⪃⊛⇣(↪⫪⫘⪩⨒∯111230))=⪩⨒∯103102","reverse_text":"⪩⨒∯103102=(⪩⨒∯202201⇌⫙⪟⪩⨒∯303012↱(⪸⪩⨒∯221213))⋝⋈⪟(⪩⨒∯1022100⋓⪩⨒∯101130⪒⪩⨒∯203133⩁⩘⪩⨒∯1021011)∠⫱((∤↝(⪩⨒∯120030⪄⪩⨒∯220012))⇼⇔∾(⪩⨒∯300030⇴⪩⨒∯103321)⪃⊛⇣(↪⫪⫘⪩⨒∯111230))","cot":[{"info":"⪩⨒∯202201⇌⫙⪟⪩⨒∯303012=⪩⨒∯1301","layer":3},{"info":"⪸⪩⨒∯221213=⪩⨒∯-23000012","layer":3},{"info":"⪩⨒∯1301↱⪩⨒∯-23000012=⪩⨒∯-1110101200","layer":2},{"info":"⪩⨒∯1022100⋓⪩⨒∯101130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯203133⩁⩘⪩⨒∯1021011=⪩⨒∯10303020","layer":3},{"info":"⪩⨒∯0⪒⪩⨒∯10303020=⪩⨒∯-10303020","layer":2},{"info":"⪩⨒∯-1110101200⋝⋈⪟⪩⨒∯-10303020=⪩⨒∯-1110101200","layer":1},{"info":"⪩⨒∯120030⪄⪩⨒∯220012=⪩⨒∯-321133001","layer":3},{"info":"∤↝⪩⨒∯-321133001=⪩⨒∯-321133001","layer":2},{"info":"⪩⨒∯300030⇴⪩⨒∯103321=⪩⨒∯11002320","layer":3},{"info":"↪⫪⫘⪩⨒∯111230=⪩⨒∯110","layer":3},{"info":"⪩⨒∯11002320⪃⊛⇣⪩⨒∯110=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯-321133001⇼⇔∾⪩⨒∯103102=⪩⨒∯321302103","layer":1},{"info":"⪩⨒∯-1110101200∠⫱⪩⨒∯321302103=⪩⨒∯103102","layer":0}]}
{"id":802,"expression_no_base_symbol":"≛(⪫⨮⊛($2069$≴⪞⇿$3667$⨰$2590$⨚$1201$))","expression":"≛(⪫⨮⊛(⪩⨒∯200111≴⪞⇿⪩⨒∯321103⨰⪩⨒∯220132⨚⪩⨒∯102301))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1960845598,"operation_count":5,"complexity_ratio":392169119.6,"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":2069,"base":4},"right_expr":{"type":"numeric_atoms","value":3667,"base":4}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":2590,"base":4},"right_expr":{"type":"numeric_atoms","value":1201,"base":4}}}}},"used_operators":["W7eaUhjymW","w5FWba1tyO","eewbuw0ToL","lvlrscuwVU","nREPSIbpBE"],"dependent_operators":["W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2069","layer":4},{"info":"number node, value=3667","layer":4},{"info":"compute binary expreesion, left_input=2069, right_input=3667, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=6451466","layer":3},{"info":"number node, value=2590","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=2590, right_input=1201, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1310","layer":3},{"info":"compute binary expreesion, left_input=6451466, right_input=1310, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6450166","layer":2},{"info":"compute unary expreesion, input=6450166, 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 = 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":0}],"base":4,"result_base":4,"text":"≛(⪫⨮⊛(⪩⨒∯200111≴⪞⇿⪩⨒∯321103⨰⪩⨒∯220132⨚⪩⨒∯102301))=NaN","reverse_text":"NaN=≛(⪫⨮⊛(⪩⨒∯200111≴⪞⇿⪩⨒∯321103⨰⪩⨒∯220132⨚⪩⨒∯102301))","cot":[{"info":"⪩⨒∯200111≴⪞⇿⪩⨒∯321103=⪩⨒∯120213010022","layer":3},{"info":"⪩⨒∯220132⨚⪩⨒∯102301=⪩⨒∯110132","layer":3},{"info":"⪩⨒∯120213010022⨰⪩⨒∯110132=⪩⨒∯120212233312","layer":2},{"info":"⪫⨮⊛⪩⨒∯120212233312=NaN","layer":1},{"info":"≛NaN=NaN","layer":0}]}
{"id":803,"expression_no_base_symbol":"((≇⪴$3228$)⊬⨰($3905$∌↝$8747$)⩌⋺(↸⊣($2134$∙⊟$3376$)))⇂≾⫗(≑⋹(($2592$⊝⪿⪼$4664$)⫁⪎$3896$↳≱$2732$))","expression":"((≇⪴⪩⨒∯302130)⊬⨰(⪩⨒∯331001∌↝⪩⨒∯2020223)⩌⋺(↸⊣(⪩⨒∯201112∙⊟⪩⨒∯310300)))⇂≾⫗(≑⋹((⪩⨒∯220200⊝⪿⪼⪩⨒∯1020320)⫁⪎⪩⨒∯330320↳≱⪩⨒∯222230))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2538,"operation_count":11,"complexity_ratio":230.72727272727272,"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":3228,"base":4}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":3905,"base":4},"right_expr":{"type":"numeric_atoms","value":8747,"base":4}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2134,"base":4},"right_expr":{"type":"numeric_atoms","value":3376,"base":4}}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2592,"base":4},"right_expr":{"type":"numeric_atoms","value":4664,"base":4}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3896,"base":4},"right_expr":{"type":"numeric_atoms","value":2732,"base":4}}}}},"used_operators":["aBQ6xLxuTc","g7Hmc5v1ko","s3Fd5m9Dh2","zoVPnxeHJ3","9Isq31Ruls","wztAlM01eG","SxTAKzQCrw","6B9nyZLogK","xRrnTEsQ6j","3Oe9XWJUTD","JwTKLfZU96"],"dependent_operators":["g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"⪩⨒∯-22210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3228","layer":4},{"info":"compute unary expreesion, input=3228, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-8344","layer":3},{"info":"number node, value=3905","layer":4},{"info":"number node, value=8747","layer":4},{"info":"compute binary expreesion, left_input=3905, right_input=8747, 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=-8344, right_input=0, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=-16688","layer":2},{"info":"number node, value=2134","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=3376, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=37588","layer":3},{"info":"compute unary expreesion, input=37588, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-37301","layer":2},{"info":"compute binary expreesion, left_input=-16688, right_input=-37301, 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=53868","layer":1},{"info":"number node, value=2592","layer":4},{"info":"number node, value=4664","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=4664, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=48812","layer":3},{"info":"number node, value=3896","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=3896, right_input=2732, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=48812, right_input=0, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=48812","layer":2},{"info":"compute unary expreesion, input=48812, op_id = 6B9nyZLogK, unary_op_definition = '≑⋹a = { (((a⨓a)⫣⪄⊒(148∸))⇴(⩦⩻⨪(a⇂≾⫗a))) , if a<188 ; (⩎⋉((a⩼⇪↪a)⊭↱(a⪶≀⋏172))) , else }', output=1650","layer":1},{"info":"compute binary expreesion, left_input=53868, right_input=1650, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":0}],"base":4,"result_base":4,"text":"((≇⪴⪩⨒∯302130)⊬⨰(⪩⨒∯331001∌↝⪩⨒∯2020223)⩌⋺(↸⊣(⪩⨒∯201112∙⊟⪩⨒∯310300)))⇂≾⫗(≑⋹((⪩⨒∯220200⊝⪿⪼⪩⨒∯1020320)⫁⪎⪩⨒∯330320↳≱⪩⨒∯222230))=⪩⨒∯-22210","reverse_text":"⪩⨒∯-22210=((≇⪴⪩⨒∯302130)⊬⨰(⪩⨒∯331001∌↝⪩⨒∯2020223)⩌⋺(↸⊣(⪩⨒∯201112∙⊟⪩⨒∯310300)))⇂≾⫗(≑⋹((⪩⨒∯220200⊝⪿⪼⪩⨒∯1020320)⫁⪎⪩⨒∯330320↳≱⪩⨒∯222230))","cot":[{"info":"≇⪴⪩⨒∯302130=⪩⨒∯-2002120","layer":3},{"info":"⪩⨒∯331001∌↝⪩⨒∯2020223=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2002120⊬⨰⪩⨒∯0=⪩⨒∯-10010300","layer":2},{"info":"⪩⨒∯201112∙⊟⪩⨒∯310300=⪩⨒∯21023110","layer":3},{"info":"↸⊣⪩⨒∯21023110=⪩⨒∯-21012311","layer":2},{"info":"⪩⨒∯-10010300⩌⋺⪩⨒∯-21012311=⪩⨒∯31021230","layer":1},{"info":"⪩⨒∯220200⊝⪿⪼⪩⨒∯1020320=⪩⨒∯23322230","layer":3},{"info":"⪩⨒∯330320↳≱⪩⨒∯222230=⪩⨒∯0","layer":3},{"info":"⪩⨒∯23322230⫁⪎⪩⨒∯0=⪩⨒∯23322230","layer":2},{"info":"≑⋹⪩⨒∯23322230=⪩⨒∯121302","layer":1},{"info":"⪩⨒∯31021230⇂≾⫗⪩⨒∯121302=⪩⨒∯-22210","layer":0}]}
{"id":804,"expression_no_base_symbol":"($3410$⨥⫆$2190$⨪↰⇹(⊖$2524$))⨑⩅≇((≸≮$1752$)⪄($2515$≑≱⪘))∇⊂⋱(⪁⇼((⩪∧⨌$1006$)⨎(≦∁$1345$)))","expression":"(⪩⨒∯311102⨥⫆⪩⨒∯202032⨪↰⇹(⊖⪩⨒∯213130))⨑⩅≇((≸≮⪩⨒∯123120)⪄(⪩⨒∯213103≑≱⪘))∇⊂⋱(⪁⇼((⩪∧⨌⪩⨒∯33232)⨎(≦∁⪩⨒∯111001)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18378,"operation_count":12,"complexity_ratio":1531.5,"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":3410,"base":4},"right_expr":{"type":"numeric_atoms","value":2190,"base":4}},"right_expr":{"type":"unary","operator":"⊖","unary_expr":{"type":"numeric_atoms","value":2524,"base":4}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":1752,"base":4}},"right_expr":{"type":"unary","operator":"≑≱⪘","unary_expr":{"type":"numeric_atoms","value":2515,"base":4}}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":1006,"base":4}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1345,"base":4}}}}},"used_operators":["nhYeJWJD5X","h92wMvzauj","tmPS8pqC7x","yXekIHxTD4","U6pG0PXrV3","SUmda5xLS4","AljMvE3RRm","tGSeddj7UK","ZNVVrZ94lY","rJVOvQCfKK","6iOiAJX1F8","9ICcGScMcE"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rJVOvQCfKK","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"⪩⨒∯-31030","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3410","layer":4},{"info":"number node, value=2190","layer":4},{"info":"compute binary expreesion, left_input=3410, right_input=2190, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=4256","layer":3},{"info":"number node, value=2524","layer":4},{"info":"compute unary expreesion, input=2524, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4256, 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=4256","layer":2},{"info":"number node, value=1752","layer":4},{"info":"compute unary expreesion, input=1752, 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=2515","layer":4},{"info":"compute unary expreesion, input=2515, 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=61755","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=61755, 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=4256, right_input=3979, 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=-12768","layer":1},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=10060","layer":3},{"info":"number node, value=1345","layer":4},{"info":"compute unary expreesion, input=1345, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1345","layer":3},{"info":"compute binary expreesion, left_input=10060, right_input=1345, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1345","layer":2},{"info":"compute unary expreesion, input=1345, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute binary expreesion, left_input=-12768, right_input=422, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-844","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯311102⨥⫆⪩⨒∯202032⨪↰⇹(⊖⪩⨒∯213130))⨑⩅≇((≸≮⪩⨒∯123120)⪄(⪩⨒∯213103≑≱⪘))∇⊂⋱(⪁⇼((⩪∧⨌⪩⨒∯33232)⨎(≦∁⪩⨒∯111001)))=⪩⨒∯-31030","reverse_text":"⪩⨒∯-31030=(⪩⨒∯311102⨥⫆⪩⨒∯202032⨪↰⇹(⊖⪩⨒∯213130))⨑⩅≇((≸≮⪩⨒∯123120)⪄(⪩⨒∯213103≑≱⪘))∇⊂⋱(⪁⇼((⩪∧⨌⪩⨒∯33232)⨎(≦∁⪩⨒∯111001)))","cot":[{"info":"⪩⨒∯311102⨥⫆⪩⨒∯202032=⪩⨒∯1002200","layer":3},{"info":"⊖⪩⨒∯213130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1002200⨪↰⇹⪩⨒∯0=⪩⨒∯1002200","layer":2},{"info":"≸≮⪩⨒∯123120=NaN","layer":3},{"info":"⪩⨒∯213103≑≱⪘=⪩⨒∯33010323","layer":3},{"info":"NaN⪄⪩⨒∯33010323=⪩⨒∯332023","layer":2},{"info":"⪩⨒∯1002200⨑⩅≇⪩⨒∯332023=⪩⨒∯-3013200","layer":1},{"info":"⩪∧⨌⪩⨒∯33232=⪩⨒∯2131030","layer":3},{"info":"≦∁⪩⨒∯111001=⪩⨒∯111001","layer":3},{"info":"⪩⨒∯2131030⨎⪩⨒∯111001=⪩⨒∯111001","layer":2},{"info":"⪁⇼⪩⨒∯111001=⪩⨒∯12212","layer":1},{"info":"⪩⨒∯-3013200∇⊂⋱⪩⨒∯12212=⪩⨒∯-31030","layer":0}]}
{"id":805,"expression_no_base_symbol":"(⊿$1663$⪬$5339$≄⊠($1373$⨶))∌($3749$⋥≓≎$1033$⇮⋭$4185$↬$7268$)⊮⊟↴(↡($1043$⊹≧⊝))","expression":"(⊿⪩⨒∯121333⪬⪩⨒∯1103123≄⊠(⪩⨒∯111131⨶))∌(⪩⨒∯322211⋥≓≎⪩⨒∯100021⇮⋭⪩⨒∯1001121↬⪩⨒∯1301210)⊮⊟↴(↡(⪩⨒∯100103⊹≧⊝))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":804,"operation_count":11,"complexity_ratio":73.0909090909091,"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":1663,"base":4},"right_expr":{"type":"numeric_atoms","value":5339,"base":4}},"right_expr":{"type":"unary","operator":"⨶","unary_expr":{"type":"numeric_atoms","value":1373,"base":4}}}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3749,"base":4},"right_expr":{"type":"numeric_atoms","value":1033,"base":4}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4185,"base":4},"right_expr":{"type":"numeric_atoms","value":7268,"base":4}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":1043,"base":4}}}}},"used_operators":["8cLx32lpNA","DO4fhlbJSI","vXNesLlMH1","Ez1Nq5fNfI","rFxw8gIMmB","QDVgd2eftb","vkpjKywKVM","Qy55tPpLXF","B5M0gjZbta","MXaNJeIAZ3","LxFB4K6j0n"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","f6k1SAg4EE","Qy55tPpLXF","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"⪩⨒∯-110113102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1663","layer":4},{"info":"number node, value=5339","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=5339, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":3},{"info":"number node, value=1373","layer":4},{"info":"compute unary expreesion, input=1373, op_id = rFxw8gIMmB, unary_op_definition = 'a⨶ = { ((a⋥≓≎303)⪒(a⋥≓≎537)) }', output=1000","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=1000, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=20668","layer":2},{"info":"compute unary expreesion, input=20668, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-83410","layer":1},{"info":"number node, value=3749","layer":4},{"info":"number node, value=1033","layer":4},{"info":"compute binary expreesion, left_input=3749, right_input=1033, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1650","layer":3},{"info":"number node, value=4185","layer":4},{"info":"number node, value=7268","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=7268, 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=-1650, right_input=nan, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":2},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-4172","layer":3},{"info":"compute unary expreesion, input=-4172, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-37548","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-37548, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=2213941","layer":1},{"info":"compute binary expreesion, left_input=-83410, right_input=2213941, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-83410","layer":0}],"base":4,"result_base":4,"text":"(⊿⪩⨒∯121333⪬⪩⨒∯1103123≄⊠(⪩⨒∯111131⨶))∌(⪩⨒∯322211⋥≓≎⪩⨒∯100021⇮⋭⪩⨒∯1001121↬⪩⨒∯1301210)⊮⊟↴(↡(⪩⨒∯100103⊹≧⊝))=⪩⨒∯-110113102","reverse_text":"⪩⨒∯-110113102=(⊿⪩⨒∯121333⪬⪩⨒∯1103123≄⊠(⪩⨒∯111131⨶))∌(⪩⨒∯322211⋥≓≎⪩⨒∯100021⇮⋭⪩⨒∯1001121↬⪩⨒∯1301210)⊮⊟↴(↡(⪩⨒∯100103⊹≧⊝))","cot":[{"info":"⪩⨒∯121333⪬⪩⨒∯1103123=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯111131⨶=⪩⨒∯33220","layer":3},{"info":"⪩⨒∯103102≄⊠⪩⨒∯33220=⪩⨒∯11002330","layer":2},{"info":"⊿⪩⨒∯11002330=⪩⨒∯-110113102","layer":1},{"info":"⪩⨒∯322211⋥≓≎⪩⨒∯100021=⪩⨒∯-121302","layer":3},{"info":"⪩⨒∯1001121↬⪩⨒∯1301210=NaN","layer":3},{"info":"⪩⨒∯-121302⇮⋭NaN=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯100103⊹≧⊝=⪩⨒∯-1001030","layer":3},{"info":"↡⪩⨒∯-1001030=⪩⨒∯-21022230","layer":2},{"info":"⪩⨒∯1003⊮⊟↴⪩⨒∯-21022230=⪩⨒∯20130200311","layer":1},{"info":"⪩⨒∯-110113102∌⪩⨒∯20130200311=⪩⨒∯-110113102","layer":0}]}
{"id":806,"expression_no_base_symbol":"(($1967$⇚⪠)⩠)⩷∴$4400$⊴$2170$⪭(↥$1481$)⪁(≉(⇺⋃($1296$⪕$5339$)))","expression":"((⪩⨒∯132233⇚⪠)⩠)⩷∴⪩⨒∯1010300⊴⪩⨒∯201322⪭(↥⪩⨒∯113021)⪁(≉(⇺⋃(⪩⨒∯110100⪕⪩⨒∯1103123)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":53646563,"operation_count":10,"complexity_ratio":5364656.3,"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":1967,"base":4}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4400,"base":4},"right_expr":{"type":"numeric_atoms","value":2170,"base":4}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1481,"base":4}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":1296,"base":4},"right_expr":{"type":"numeric_atoms","value":5339,"base":4}}}}},"used_operators":["I7sXao9hZE","9FxExcQeMw","sJAwomhLZr","Loh9y4A90B","j9kHMeSvPp","Nsiff2A1zJ","A8NUZmVepG","e1ybzncUwg","E5v5B3UAjG","umQnsF7QlU"],"dependent_operators":["dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","COABgblf1C","xUOZtlo3hN","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1967","layer":4},{"info":"compute unary expreesion, input=1967, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=7738178","layer":3},{"info":"compute unary expreesion, input=7738178, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=4400","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=4400, right_input=2170, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1481","layer":4},{"info":"compute unary expreesion, input=1481, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=2","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2, 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=0, right_input=5, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-42","layer":1},{"info":"number node, value=1296","layer":4},{"info":"number node, value=5339","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=5339, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=-55","layer":3},{"info":"compute unary expreesion, input=-55, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=1401","layer":2},{"info":"compute unary expreesion, input=1401, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1932","layer":1},{"info":"compute binary expreesion, left_input=-42, right_input=1932, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯132233⇚⪠)⩠)⩷∴⪩⨒∯1010300⊴⪩⨒∯201322⪭(↥⪩⨒∯113021)⪁(≉(⇺⋃(⪩⨒∯110100⪕⪩⨒∯1103123)))=NaN","reverse_text":"NaN=((⪩⨒∯132233⇚⪠)⩠)⩷∴⪩⨒∯1010300⊴⪩⨒∯201322⪭(↥⪩⨒∯113021)⪁(≉(⇺⋃(⪩⨒∯110100⪕⪩⨒∯1103123)))","cot":[{"info":"⪩⨒∯132233⇚⪠=⪩⨒∯131201031002","layer":3},{"info":"⪩⨒∯131201031002⩠=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1010300⊴⪩⨒∯201322=NaN","layer":3},{"info":"↥⪩⨒∯113021=⪩⨒∯2","layer":3},{"info":"NaN⪭⪩⨒∯2=⪩⨒∯11","layer":2},{"info":"⪩⨒∯0⩷∴⪩⨒∯11=⪩⨒∯-222","layer":1},{"info":"⪩⨒∯110100⪕⪩⨒∯1103123=⪩⨒∯-313","layer":3},{"info":"⇺⋃⪩⨒∯-313=⪩⨒∯111321","layer":2},{"info":"≉⪩⨒∯111321=⪩⨒∯132030","layer":1},{"info":"⪩⨒∯-222⪁⪩⨒∯132030=NaN","layer":0}]}
{"id":807,"expression_no_base_symbol":"⨂⪏⇭(($2228$⨔≚≋$2678$)⊢$4651$↞⋁$5223$⩨($5130$≒∊$4079$⩨$3313$⪃⊛⇣$1630$))","expression":"⨂⪏⇭((⪩⨒∯202310⨔≚≋⪩⨒∯221312)⊢⪩⨒∯1020223↞⋁⪩⨒∯1101213⩨(⪩⨒∯1100022≒∊⪩⨒∯333233⩨⪩⨒∯303301⪃⊛⇣⪩⨒∯121132))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":851,"operation_count":8,"complexity_ratio":106.375,"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":2228,"base":4},"right_expr":{"type":"numeric_atoms","value":2678,"base":4}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":4651,"base":4},"right_expr":{"type":"numeric_atoms","value":5223,"base":4}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":5130,"base":4},"right_expr":{"type":"numeric_atoms","value":4079,"base":4}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":3313,"base":4},"right_expr":{"type":"numeric_atoms","value":1630,"base":4}}}}},"used_operators":["AYdpE9sXAk","2DlMacCsIx","5twsqlHp2o","Z57zeUYC9z","RqrPlJkxDo","5KTvxBwnZo","rrgAzCduG9"],"dependent_operators":["eewbuw0ToL","NTOWxs364D","EBcxylXtPf","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⪩⨒∯-33022","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2228","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=2228, right_input=2678, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"number node, value=4651","layer":4},{"info":"number node, value=5223","layer":4},{"info":"compute binary expreesion, left_input=4651, right_input=5223, 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 = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-19988","layer":2},{"info":"number node, value=5130","layer":4},{"info":"number node, value=4079","layer":4},{"info":"compute binary expreesion, left_input=5130, right_input=4079, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-4646","layer":3},{"info":"number node, value=3313","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=3313, right_input=1630, 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=-4646, right_input=1234, 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=-19988, right_input=3, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":1},{"info":"compute unary expreesion, input=3, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-970","layer":0}],"base":4,"result_base":4,"text":"⨂⪏⇭((⪩⨒∯202310⨔≚≋⪩⨒∯221312)⊢⪩⨒∯1020223↞⋁⪩⨒∯1101213⩨(⪩⨒∯1100022≒∊⪩⨒∯333233⩨⪩⨒∯303301⪃⊛⇣⪩⨒∯121132))=⪩⨒∯-33022","reverse_text":"⪩⨒∯-33022=⨂⪏⇭((⪩⨒∯202310⨔≚≋⪩⨒∯221312)⊢⪩⨒∯1020223↞⋁⪩⨒∯1101213⩨(⪩⨒∯1100022≒∊⪩⨒∯333233⩨⪩⨒∯303301⪃⊛⇣⪩⨒∯121132))","cot":[{"info":"⪩⨒∯202310⨔≚≋⪩⨒∯221312=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯1020223↞⋁⪩⨒∯1101213=NaN","layer":3},{"info":"⪩⨒∯2122100⊢NaN=⪩⨒∯-10320110","layer":2},{"info":"⪩⨒∯1100022≒∊⪩⨒∯333233=⪩⨒∯-1020212","layer":3},{"info":"⪩⨒∯303301⪃⊛⇣⪩⨒∯121132=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-1020212⩨⪩⨒∯103102=⪩⨒∯3","layer":2},{"info":"⪩⨒∯-10320110⩨⪩⨒∯3=⪩⨒∯3","layer":1},{"info":"⨂⪏⇭⪩⨒∯3=⪩⨒∯-33022","layer":0}]}
{"id":808,"expression_no_base_symbol":"(⨵≀≌(⫡⇟⇯$5090$≚⊃≕$2095$))⋖∅⋲","expression":"(⨵≀≌(⫡⇟⇯⪩⨒∯1033202≚⊃≕⪩⨒∯200233))⋖∅⋲","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":49,"operation_count":4,"complexity_ratio":12.25,"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":5090,"base":4},"right_expr":{"type":"numeric_atoms","value":2095,"base":4}}}}},"used_operators":["L95AwlJzhO","srAu1WTS94","qWUSsah53b","Bmrmz2XGnR"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","P8v4zCKN1o","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5090","layer":4},{"info":"number node, value=2095","layer":4},{"info":"compute binary expreesion, left_input=5090, right_input=2095, 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 = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=1002","layer":2},{"info":"compute unary expreesion, input=1002, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3006","layer":1},{"info":"compute unary expreesion, input=-3006, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(⨵≀≌(⫡⇟⇯⪩⨒∯1033202≚⊃≕⪩⨒∯200233))⋖∅⋲=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⨵≀≌(⫡⇟⇯⪩⨒∯1033202≚⊃≕⪩⨒∯200233))⋖∅⋲","cot":[{"info":"⪩⨒∯1033202≚⊃≕⪩⨒∯200233=⪩⨒∯1003","layer":3},{"info":"⫡⇟⇯⪩⨒∯1003=⪩⨒∯33222","layer":2},{"info":"⨵≀≌⪩⨒∯33222=⪩⨒∯-232332","layer":1},{"info":"⪩⨒∯-232332⋖∅⋲=⪩⨒∯0","layer":0}]}
{"id":809,"expression_no_base_symbol":"(($4840$⇔⨋)⋕⪉⪜($1017$↸$5417$)⋷((∤↝$2302$)⫚↹⊑$1860$≀⫉$3491$))⩼⇪↪((⫯$3282$)⊴(⨈⪑$5743$))↤⩊($7746$↳≱$1739$↙($2161$-$1458$))","expression":"((⪩⨒∯1023220⇔⨋)⋕⪉⪜(⪩⨒∯33321↸⪩⨒∯1110221)⋷((∤↝⪩⨒∯203332)⫚↹⊑⪩⨒∯131010≀⫉⪩⨒∯312203))⩼⇪↪((⫯⪩⨒∯303102)⊴(⨈⪑⪩⨒∯1121233))↤⩊(⪩⨒∯1321002↳≱⪩⨒∯123023↙(⪩⨒∯201301-⪩⨒∯112302))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":13749,"operation_count":15,"complexity_ratio":916.6,"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":4840,"base":4}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1017,"base":4},"right_expr":{"type":"numeric_atoms","value":5417,"base":4}}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"unary","operator":"∤↝","unary_expr":{"type":"numeric_atoms","value":2302,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1860,"base":4},"right_expr":{"type":"numeric_atoms","value":3491,"base":4}}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":3282,"base":4}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":5743,"base":4}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":7746,"base":4},"right_expr":{"type":"numeric_atoms","value":1739,"base":4}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2161,"base":4},"right_expr":{"type":"numeric_atoms","value":1458,"base":4}}}}},"used_operators":["ocnLzx9CaJ","23Mk6UjR3U","z6LnFrNh4i","uBihLCJcMX","1eCjFl0mb9","dfKe02y8D2","3UMq87Qwqg","oZj3VtZNQx","13rbtpv6ld","Nsiff2A1zJ","H6BK1Evt7c","mp94q5OcYM","yyfyN0ffXY","JwTKLfZU96","rysDP5nf3Z"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","N41Kp7NANJ","7j4O788W3g","glklzrTFfD","tifHPKVTfV","12rbrZMWeM","f6k1SAg4EE","D4vGDi5EA2","nCS4ZIUYfx","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","tmPS8pqC7x","DpFCA1CohY","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4840","layer":4},{"info":"compute unary expreesion, input=4840, op_id = uBihLCJcMX, unary_op_definition = 'a⇔⨋ = { (((a⨁⊸⫻)⋳⪒a)⪒((a≦≮≮)⨁⊸⫻)) , if a<217 ; (((a≋⫹)⨳⩥⨓(a↺a))⋳⪒((a⨳⩥⨓a)⫡⨏(a⇼⇔∾a))) , else }', output=27970","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=5417","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=5417, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1017","layer":3},{"info":"compute binary expreesion, left_input=27970, right_input=1017, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":2},{"info":"number node, value=2302","layer":4},{"info":"compute unary expreesion, input=2302, 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=2302","layer":3},{"info":"number node, value=1860","layer":4},{"info":"number node, value=3491","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=3491, 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=2302, right_input=2822, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"compute binary expreesion, left_input=2802, right_input=-447, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3696","layer":1},{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-123056","layer":3},{"info":"number node, value=5743","layer":4},{"info":"compute unary expreesion, input=5743, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-123056, right_input=868, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=7746","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=7746, right_input=1739, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":3},{"info":"number node, value=2161","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=1458, op_id = rysDP5nf3Z binary_op_definition= 'None', output=703","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=703, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-3696, right_input=nan, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1023220⇔⨋)⋕⪉⪜(⪩⨒∯33321↸⪩⨒∯1110221)⋷((∤↝⪩⨒∯203332)⫚↹⊑⪩⨒∯131010≀⫉⪩⨒∯312203))⩼⇪↪((⫯⪩⨒∯303102)⊴(⨈⪑⪩⨒∯1121233))↤⩊(⪩⨒∯1321002↳≱⪩⨒∯123023↙(⪩⨒∯201301-⪩⨒∯112302))=NaN","reverse_text":"NaN=((⪩⨒∯1023220⇔⨋)⋕⪉⪜(⪩⨒∯33321↸⪩⨒∯1110221)⋷((∤↝⪩⨒∯203332)⫚↹⊑⪩⨒∯131010≀⫉⪩⨒∯312203))⩼⇪↪((⫯⪩⨒∯303102)⊴(⨈⪑⪩⨒∯1121233))↤⩊(⪩⨒∯1321002↳≱⪩⨒∯123023↙(⪩⨒∯201301-⪩⨒∯112302))","cot":[{"info":"⪩⨒∯1023220⇔⨋=⪩⨒∯12311002","layer":3},{"info":"⪩⨒∯33321↸⪩⨒∯1110221=⪩⨒∯33321","layer":3},{"info":"⪩⨒∯12311002⋕⪉⪜⪩⨒∯33321=⪩⨒∯223302","layer":2},{"info":"∤↝⪩⨒∯203332=⪩⨒∯203332","layer":3},{"info":"⪩⨒∯131010≀⫉⪩⨒∯312203=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯203332⫚↹⊑⪩⨒∯230012=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯223302⋷⪩⨒∯-12333=⪩⨒∯-321300","layer":1},{"info":"⫯⪩⨒∯303102=⪩⨒∯-132002300","layer":3},{"info":"⨈⪑⪩⨒∯1121233=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯-132002300⊴⪩⨒∯31210=NaN","layer":2},{"info":"⪩⨒∯1321002↳≱⪩⨒∯123023=⪩⨒∯0","layer":3},{"info":"⪩⨒∯201301-⪩⨒∯112302=⪩⨒∯22333","layer":3},{"info":"⪩⨒∯0↙⪩⨒∯22333=⪩⨒∯0","layer":2},{"info":"NaN↤⩊⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯-321300⩼⇪↪NaN=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"((≀↧⇸$1871$)⪍↜⋙$2904$⩖⊿$1054$⋳⪒(≘$7186$)⩷∴$6010$⋣⋖$3611$)≒∊(⨞⊢($1592$⨸$1100$)≴⪞⇿(⊊≼∋$1077$))","expression":"((≀↧⇸⪩⨒∯131033)⪍↜⋙⪩⨒∯231120⩖⊿⪩⨒∯100132⋳⪒(≘⪩⨒∯1300102)⩷∴⪩⨒∯1131322⋣⋖⪩⨒∯320123)≒∊(⨞⊢(⪩⨒∯120320⨸⪩⨒∯101030)≴⪞⇿(⊊≼∋⪩⨒∯100311))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":6040,"operation_count":12,"complexity_ratio":503.3333333333333,"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":1871,"base":4}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2904,"base":4},"right_expr":{"type":"numeric_atoms","value":1054,"base":4}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":7186,"base":4}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":6010,"base":4},"right_expr":{"type":"numeric_atoms","value":3611,"base":4}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1592,"base":4},"right_expr":{"type":"numeric_atoms","value":1100,"base":4}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"numeric_atoms","value":1077,"base":4}}}}},"used_operators":["5KTvxBwnZo","12rbrZMWeM","L05ObWFQCd","ljTHtUsqzn","RZ5CV9rWsJ","9FxExcQeMw","tcjXMdvYtA","J0M6qkBnIM","xUOZtlo3hN","lvlrscuwVU","KmoU8R5UQR","FWz7pXsQhA"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","XPYlsWDdGa","23Mk6UjR3U","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","rysDP5nf3Z","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","W4YGzv6Whe","t8gj7n24qd","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","B5M0gjZbta","jCPkEVoL5K"],"result":"⪩⨒∯1320233222203","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1871","layer":4},{"info":"compute unary expreesion, input=1871, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=3742","layer":3},{"info":"number node, value=2904","layer":4},{"info":"number node, value=1054","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=1054, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-3266","layer":3},{"info":"compute binary expreesion, left_input=3742, right_input=-3266, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=14016","layer":2},{"info":"number node, value=7186","layer":4},{"info":"compute unary expreesion, input=7186, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=15845914","layer":3},{"info":"number node, value=6010","layer":4},{"info":"number node, value=3611","layer":4},{"info":"compute binary expreesion, left_input=6010, right_input=3611, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=6010","layer":3},{"info":"compute binary expreesion, left_input=15845914, right_input=6010, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=31679776","layer":2},{"info":"compute binary expreesion, left_input=14016, right_input=31679776, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-31652031","layer":1},{"info":"number node, value=1592","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=1592, right_input=1100, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3184","layer":3},{"info":"number node, value=1077","layer":4},{"info":"compute unary expreesion, input=1077, 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=3184, right_input=-447, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=16933211","layer":2},{"info":"compute unary expreesion, input=16933211, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-16933385","layer":1},{"info":"compute binary expreesion, left_input=-31652031, right_input=-16933385, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=31652515","layer":0}],"base":4,"result_base":4,"text":"((≀↧⇸⪩⨒∯131033)⪍↜⋙⪩⨒∯231120⩖⊿⪩⨒∯100132⋳⪒(≘⪩⨒∯1300102)⩷∴⪩⨒∯1131322⋣⋖⪩⨒∯320123)≒∊(⨞⊢(⪩⨒∯120320⨸⪩⨒∯101030)≴⪞⇿(⊊≼∋⪩⨒∯100311))=⪩⨒∯1320233222203","reverse_text":"⪩⨒∯1320233222203=((≀↧⇸⪩⨒∯131033)⪍↜⋙⪩⨒∯231120⩖⊿⪩⨒∯100132⋳⪒(≘⪩⨒∯1300102)⩷∴⪩⨒∯1131322⋣⋖⪩⨒∯320123)≒∊(⨞⊢(⪩⨒∯120320⨸⪩⨒∯101030)≴⪞⇿(⊊≼∋⪩⨒∯100311))","cot":[{"info":"≀↧⇸⪩⨒∯131033=⪩⨒∯322132","layer":3},{"info":"⪩⨒∯231120⩖⊿⪩⨒∯100132=⪩⨒∯-303002","layer":3},{"info":"⪩⨒∯322132⪍↜⋙⪩⨒∯-303002=⪩⨒∯3123000","layer":2},{"info":"≘⪩⨒∯1300102=⪩⨒∯330130220122","layer":3},{"info":"⪩⨒∯1131322⋣⋖⪩⨒∯320123=⪩⨒∯1131322","layer":3},{"info":"⪩⨒∯330130220122⩷∴⪩⨒∯1131322=⪩⨒∯1320312110200","layer":2},{"info":"⪩⨒∯3123000⋳⪒⪩⨒∯1320312110200=⪩⨒∯-1320233202333","layer":1},{"info":"⪩⨒∯120320⨸⪩⨒∯101030=⪩⨒∯301300","layer":3},{"info":"⊊≼∋⪩⨒∯100311=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯301300≴⪞⇿⪩⨒∯-12333=⪩⨒∯1000212011123","layer":2},{"info":"⨞⊢⪩⨒∯1000212011123=⪩⨒∯-1000212020021","layer":1},{"info":"⪩⨒∯-1320233202333≒∊⪩⨒∯-1000212020021=⪩⨒∯1320233222203","layer":0}]}
{"id":811,"expression_no_base_symbol":"$6101$⨂≜$1220$+⪬∐($6621$⊝⪿⪼$6432$)⪶≀⋏($1209$⨕⋳)⫉⨲⊜(⊲⪭$3938$)⨸⪁(⨰⫟⨤$6953$⩣⫁∢$4015$)∌((↯⪼$2600$)⪍↜⋙($4599$⪇≇⋚$2034$))","expression":"⪩⨒∯1133111⨂≜⪩⨒∯103010+⪬∐(⪩⨒∯1213131⊝⪿⪼⪩⨒∯1210200)⪶≀⋏(⪩⨒∯102321⨕⋳)⫉⨲⊜(⊲⪭⪩⨒∯331202)⨸⪁(⨰⫟⨤⪩⨒∯1230221⩣⫁∢⪩⨒∯332233)∌((↯⪼⪩⨒∯220220)⪍↜⋙(⪩⨒∯1013313⪇≇⋚⪩⨒∯133302))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":62225,"operation_count":14,"complexity_ratio":4444.642857142857,"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":6101,"base":4},"right_expr":{"type":"numeric_atoms","value":1220,"base":4}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":6621,"base":4},"right_expr":{"type":"numeric_atoms","value":6432,"base":4}}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"unary","operator":"⨕⋳","unary_expr":{"type":"numeric_atoms","value":1209,"base":4}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":3938,"base":4}}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":6953,"base":4},"right_expr":{"type":"numeric_atoms","value":4015,"base":4}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2600,"base":4}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"numeric_atoms","value":4599,"base":4},"right_expr":{"type":"numeric_atoms","value":2034,"base":4}}}}},"used_operators":["g55IO6H4Gj","zR4jO40bMj","2GS7woTJqF","k1SHOSEABc","3Oe9XWJUTD","WhqkvtTD3t","4X4GscPmMf","k7HXdKtiEU","8cLx32lpNA","Tw270M8GLb","JDUIKTTSIa","L05ObWFQCd","8jW3W4yZS5","3sJ7IOPOlU"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","g55IO6H4Gj","D4vGDi5EA2","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","eewbuw0ToL","zVYPLywUTj","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","i8ToyICDmI","xUOZtlo3hN","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6101","layer":4},{"info":"number node, value=1220","layer":4},{"info":"compute binary expreesion, left_input=6101, right_input=1220, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=6621","layer":4},{"info":"number node, value=6432","layer":4},{"info":"compute binary expreesion, left_input=6621, right_input=6432, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=83053","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=83053, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":2},{"info":"number node, value=1209","layer":4},{"info":"compute unary expreesion, input=1209, op_id = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=26020","layer":3},{"info":"number node, value=3938","layer":4},{"info":"compute unary expreesion, input=3938, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4112","layer":3},{"info":"compute binary expreesion, left_input=26020, right_input=-4112, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=-4222","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4222, 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=6953","layer":4},{"info":"number node, value=4015","layer":4},{"info":"compute binary expreesion, left_input=6953, right_input=4015, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-13745","layer":3},{"info":"compute unary expreesion, input=-13745, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2600","layer":4},{"info":"compute unary expreesion, input=2600, 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=4599","layer":4},{"info":"number node, value=2034","layer":4},{"info":"compute binary expreesion, left_input=4599, right_input=2034, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=-42","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-42, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=42","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=42, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯1133111⨂≜⪩⨒∯103010+⪬∐(⪩⨒∯1213131⊝⪿⪼⪩⨒∯1210200)⪶≀⋏(⪩⨒∯102321⨕⋳)⫉⨲⊜(⊲⪭⪩⨒∯331202)⨸⪁(⨰⫟⨤⪩⨒∯1230221⩣⫁∢⪩⨒∯332233)∌((↯⪼⪩⨒∯220220)⪍↜⋙(⪩⨒∯1013313⪇≇⋚⪩⨒∯133302))=NaN","reverse_text":"NaN=⪩⨒∯1133111⨂≜⪩⨒∯103010+⪬∐(⪩⨒∯1213131⊝⪿⪼⪩⨒∯1210200)⪶≀⋏(⪩⨒∯102321⨕⋳)⫉⨲⊜(⊲⪭⪩⨒∯331202)⨸⪁(⨰⫟⨤⪩⨒∯1230221⩣⫁∢⪩⨒∯332233)∌((↯⪼⪩⨒∯220220)⪍↜⋙(⪩⨒∯1013313⪇≇⋚⪩⨒∯133302))","cot":[{"info":"⪩⨒∯1133111⨂≜⪩⨒∯103010=NaN","layer":3},{"info":"⪩⨒∯1213131⊝⪿⪼⪩⨒∯1210200=⪩⨒∯110101231","layer":3},{"info":"NaN+⪬∐⪩⨒∯110101231=NaN","layer":2},{"info":"⪩⨒∯102321⨕⋳=⪩⨒∯12112210","layer":3},{"info":"⊲⪭⪩⨒∯331202=⪩⨒∯-1000100","layer":3},{"info":"⪩⨒∯12112210⫉⨲⊜⪩⨒∯-1000100=⪩⨒∯-1001332","layer":2},{"info":"NaN⪶≀⋏⪩⨒∯-1001332=NaN","layer":1},{"info":"⪩⨒∯1230221⩣⫁∢⪩⨒∯332233=⪩⨒∯-3112301","layer":3},{"info":"⨰⫟⨤⪩⨒∯-3112301=NaN","layer":2},{"info":"↯⪼⪩⨒∯220220=⪩⨒∯-111","layer":3},{"info":"⪩⨒∯1013313⪇≇⋚⪩⨒∯133302=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-111⪍↜⋙⪩⨒∯0=⪩⨒∯-222","layer":2},{"info":"NaN∌⪩⨒∯-222=⪩⨒∯222","layer":1},{"info":"NaN⨸⪁⪩⨒∯222=NaN","layer":0}]}
{"id":812,"expression_no_base_symbol":"((⨝⨆$6838$⫘$7674$)⨚(⇾⩊⇾$2460$)⩣⫁∢($1741$-$2511$))⋹⋡⊁(($5257$/$9769$+$4270$⫦⪉$1372$)⩚⊴⇥(⩰(↑$9457$)))","expression":"((⨝⨆⪩⨒∯1222312⫘⪩⨒∯1313322)⨚(⇾⩊⇾⪩⨒∯212130)⩣⫁∢(⪩⨒∯123031-⪩⨒∯213033))⋹⋡⊁((⪩⨒∯1102021/⪩⨒∯2120221+⪩⨒∯1002232⫦⪉⪩⨒∯111130)⩚⊴⇥(⩰(↑⪩⨒∯2103301)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":69722,"operation_count":13,"complexity_ratio":5363.2307692307695,"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":6838,"base":4},"right_expr":{"type":"numeric_atoms","value":7674,"base":4}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"numeric_atoms","value":2460,"base":4}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1741,"base":4},"right_expr":{"type":"numeric_atoms","value":2511,"base":4}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5257,"base":4},"right_expr":{"type":"numeric_atoms","value":9769,"base":4}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":4270,"base":4},"right_expr":{"type":"numeric_atoms","value":1372,"base":4}}},"right_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"numeric_atoms","value":9457,"base":4}}}}},"used_operators":["As8RqfVLgs","nREPSIbpBE","bQ67fsrMVf","48vC8HMD2b","JDUIKTTSIa","bx9Z9DAK5y","rysDP5nf3Z","NTOWxs364D","W4YGzv6Whe","XhwjNDsVaA","wscyQdcy20","WkeUrDK8WX","tR7O2zTn5j"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","BjRHVeLaeN","12rbrZMWeM","tifHPKVTfV","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx"],"result":"⪩⨒∯1111111","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6838","layer":4},{"info":"number node, value=7674","layer":4},{"info":"compute binary expreesion, left_input=6838, right_input=7674, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=8045893","layer":3},{"info":"compute unary expreesion, input=8045893, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=8045684","layer":2},{"info":"number node, value=2460","layer":4},{"info":"compute unary expreesion, input=2460, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-28626","layer":3},{"info":"number node, value=1741","layer":4},{"info":"number node, value=2511","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=2511, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-770","layer":3},{"info":"compute binary expreesion, left_input=-28626, right_input=-770, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=115069","layer":2},{"info":"compute binary expreesion, left_input=8045684, right_input=115069, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=15632026","layer":1},{"info":"number node, value=5257","layer":4},{"info":"number node, value=9769","layer":4},{"info":"compute binary expreesion, left_input=5257, right_input=9769, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=4270","layer":4},{"info":"number node, value=1372","layer":4},{"info":"compute binary expreesion, left_input=4270, right_input=1372, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-3640","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3640, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-3640","layer":2},{"info":"number node, value=9457","layer":4},{"info":"compute unary expreesion, input=9457, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-1192","layer":2},{"info":"compute binary expreesion, left_input=-3640, right_input=-1192, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=4711","layer":1},{"info":"compute binary expreesion, left_input=15632026, right_input=4711, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=5461","layer":0}],"base":4,"result_base":4,"text":"((⨝⨆⪩⨒∯1222312⫘⪩⨒∯1313322)⨚(⇾⩊⇾⪩⨒∯212130)⩣⫁∢(⪩⨒∯123031-⪩⨒∯213033))⋹⋡⊁((⪩⨒∯1102021/⪩⨒∯2120221+⪩⨒∯1002232⫦⪉⪩⨒∯111130)⩚⊴⇥(⩰(↑⪩⨒∯2103301)))=⪩⨒∯1111111","reverse_text":"⪩⨒∯1111111=((⨝⨆⪩⨒∯1222312⫘⪩⨒∯1313322)⨚(⇾⩊⇾⪩⨒∯212130)⩣⫁∢(⪩⨒∯123031-⪩⨒∯213033))⋹⋡⊁((⪩⨒∯1102021/⪩⨒∯2120221+⪩⨒∯1002232⫦⪉⪩⨒∯111130)⩚⊴⇥(⩰(↑⪩⨒∯2103301)))","cot":[{"info":"⪩⨒∯1222312⫘⪩⨒∯1313322=⪩⨒∯132230111011","layer":3},{"info":"⨝⨆⪩⨒∯132230111011=⪩⨒∯132230101310","layer":2},{"info":"⇾⩊⇾⪩⨒∯212130=⪩⨒∯-12333102","layer":3},{"info":"⪩⨒∯123031-⪩⨒∯213033=⪩⨒∯-30002","layer":3},{"info":"⪩⨒∯-12333102⩣⫁∢⪩⨒∯-30002=⪩⨒∯130011331","layer":2},{"info":"⪩⨒∯132230101310⨚⪩⨒∯130011331=⪩⨒∯323220122122","layer":1},{"info":"⪩⨒∯1102021/⪩⨒∯2120221=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1002232⫦⪉⪩⨒∯111130=⪩⨒∯-320320","layer":3},{"info":"⪩⨒∯0+⪩⨒∯-320320=⪩⨒∯-320320","layer":2},{"info":"↑⪩⨒∯2103301=⪩⨒∯3000","layer":3},{"info":"⩰⪩⨒∯3000=⪩⨒∯-102220","layer":2},{"info":"⪩⨒∯-320320⩚⊴⇥⪩⨒∯-102220=⪩⨒∯1021213","layer":1},{"info":"⪩⨒∯323220122122⋹⋡⊁⪩⨒∯1021213=⪩⨒∯1111111","layer":0}]}
{"id":813,"expression_no_base_symbol":"(≅≯⇸$3138$≁↽≥$1931$≌($3424$∙⊟$1806$))⋥⋵⩄($2722$+⇶⊼$5275$⨭⪣$2496$∀⇚≩$2913$⊭↱$3018$⪝$3681$⨫⇇↔$1550$≹⇙⪍$2038$)","expression":"(≅≯⇸⪩⨒∯301002≁↽≥⪩⨒∯132023≌(⪩⨒∯311200∙⊟⪩⨒∯130032))⋥⋵⩄(⪩⨒∯222202+⇶⊼⪩⨒∯1102123⨭⪣⪩⨒∯213000∀⇚≩⪩⨒∯231201⊭↱⪩⨒∯233022⪝⪩⨒∯321201⨫⇇↔⪩⨒∯120032≹⇙⪍⪩⨒∯133312)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":76004,"operation_count":12,"complexity_ratio":6333.666666666667,"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":3138,"base":4},"right_expr":{"type":"numeric_atoms","value":1931,"base":4}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":3424,"base":4},"right_expr":{"type":"numeric_atoms","value":1806,"base":4}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2722,"base":4},"right_expr":{"type":"numeric_atoms","value":5275,"base":4}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2496,"base":4},"right_expr":{"type":"numeric_atoms","value":2913,"base":4}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"numeric_atoms","value":3018,"base":4},"right_expr":{"type":"numeric_atoms","value":3681,"base":4}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1550,"base":4},"right_expr":{"type":"numeric_atoms","value":2038,"base":4}}}}},"used_operators":["7t3wd0Fuz7","apS25hmuAe","lyWz822IDG","ncHt1X6cMc","SxTAKzQCrw","COABgblf1C","kn8WO9XteQ","TpPTUOHfaN","LRNGc0VcxI","LXhwmt4mBO","wicAB68Tmb","AHs5Up7iyr"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","EBcxylXtPf","QMFrweE19q","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","oWn0xqSxBt","3Oe9XWJUTD","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","W4YGzv6Whe","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","AHs5Up7iyr","X99M06cbEe","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3138","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=3138, right_input=1931, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=46776","layer":3},{"info":"number node, value=3424","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=1806, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=54358","layer":3},{"info":"compute binary expreesion, left_input=46776, right_input=54358, 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 = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=nan","layer":1},{"info":"number node, value=2722","layer":4},{"info":"number node, value=5275","layer":4},{"info":"compute binary expreesion, left_input=2722, right_input=5275, 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=2496","layer":4},{"info":"number node, value=2913","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=2913, 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 = 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=3018","layer":4},{"info":"number node, value=3681","layer":4},{"info":"compute binary expreesion, left_input=3018, right_input=3681, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=237","layer":3},{"info":"number node, value=1550","layer":4},{"info":"number node, value=2038","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=2038, 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=237, 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=-21, right_input=-527, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1007","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1007, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(≅≯⇸⪩⨒∯301002≁↽≥⪩⨒∯132023≌(⪩⨒∯311200∙⊟⪩⨒∯130032))⋥⋵⩄(⪩⨒∯222202+⇶⊼⪩⨒∯1102123⨭⪣⪩⨒∯213000∀⇚≩⪩⨒∯231201⊭↱⪩⨒∯233022⪝⪩⨒∯321201⨫⇇↔⪩⨒∯120032≹⇙⪍⪩⨒∯133312)=NaN","reverse_text":"NaN=(≅≯⇸⪩⨒∯301002≁↽≥⪩⨒∯132023≌(⪩⨒∯311200∙⊟⪩⨒∯130032))⋥⋵⩄(⪩⨒∯222202+⇶⊼⪩⨒∯1102123⨭⪣⪩⨒∯213000∀⇚≩⪩⨒∯231201⊭↱⪩⨒∯233022⪝⪩⨒∯321201⨫⇇↔⪩⨒∯120032≹⇙⪍⪩⨒∯133312)","cot":[{"info":"⪩⨒∯301002≁↽≥⪩⨒∯132023=⪩⨒∯23122320","layer":3},{"info":"⪩⨒∯311200∙⊟⪩⨒∯130032=⪩⨒∯31101112","layer":3},{"info":"⪩⨒∯23122320≌⪩⨒∯31101112=NaN","layer":2},{"info":"≅≯⇸NaN=NaN","layer":1},{"info":"⪩⨒∯222202+⇶⊼⪩⨒∯1102123=NaN","layer":3},{"info":"⪩⨒∯213000∀⇚≩⪩⨒∯231201=NaN","layer":3},{"info":"NaN⨭⪣NaN=⪩⨒∯-111","layer":2},{"info":"⪩⨒∯233022⪝⪩⨒∯321201=⪩⨒∯3231","layer":3},{"info":"⪩⨒∯120032≹⇙⪍⪩⨒∯133312=NaN","layer":3},{"info":"⪩⨒∯3231⨫⇇↔NaN=⪩⨒∯-20033","layer":2},{"info":"⪩⨒∯-111⊭↱⪩⨒∯-20033=⪩⨒∯-33233","layer":1},{"info":"NaN⋥⋵⩄⪩⨒∯-33233=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"$4923$⨜⨶$3456$⫉⨲⊜$1787$∺≝⩲$2781$⪚($4735$∴≳≥)⇂≾⫗($1005$⨭⪣$1178$)⋣⋖(((⇖$1250$)⫲⨊)∖$3472$≎⊠⪸$1728$⨸⪁($7543$∧))","expression":"⪩⨒∯1030323⨜⨶⪩⨒∯312000⫉⨲⊜⪩⨒∯123323∺≝⩲⪩⨒∯223131⪚(⪩⨒∯1021333∴≳≥)⇂≾⫗(⪩⨒∯33231⨭⪣⪩⨒∯102122)⋣⋖(((⇖⪩⨒∯103202)⫲⨊)∖⪩⨒∯312100≎⊠⪸⪩⨒∯123000⨸⪁(⪩⨒∯1311313∧))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20621,"operation_count":14,"complexity_ratio":1472.9285714285713,"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":4923,"base":4},"right_expr":{"type":"numeric_atoms","value":3456,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1787,"base":4},"right_expr":{"type":"numeric_atoms","value":2781,"base":4}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"∴≳≥","unary_expr":{"type":"numeric_atoms","value":4735,"base":4}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1005,"base":4},"right_expr":{"type":"numeric_atoms","value":1178,"base":4}}}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"numeric_atoms","value":1250,"base":4}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3472,"base":4},"right_expr":{"type":"numeric_atoms","value":1728,"base":4}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":7543,"base":4}}}}},"used_operators":["J0M6qkBnIM","HrjLwUk87U","WhqkvtTD3t","HiPekx5b7W","KPf6cnQVty","aBQ6xLxuTc","a3N2hFLK0J","kn8WO9XteQ","tXD093vOjl","CArV6hThFE","tfWHHpNKUN","g55IO6H4Gj","bJkvcejdHO","z63VuFQld9"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eewbuw0ToL","zVYPLywUTj","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","g55IO6H4Gj","DpFCA1CohY","xUOZtlo3hN","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","2DQ55sFlQl","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"⪩⨒∯310321321130300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4923","layer":4},{"info":"number node, value=3456","layer":4},{"info":"compute binary expreesion, left_input=4923, right_input=3456, 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=-6656","layer":3},{"info":"number node, value=1787","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=2781, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-6656, right_input=160, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=443795878","layer":2},{"info":"number node, value=4735","layer":4},{"info":"compute unary expreesion, input=4735, op_id = a3N2hFLK0J, unary_op_definition = 'a∴≳≥ = { (⨞⊢a) , if (⋗⩬⋾a)==641 ; (a⨸⪁a) , else }', output=18940","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1178","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1178, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-274","layer":3},{"info":"compute binary expreesion, left_input=18940, right_input=-274, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":2},{"info":"compute binary expreesion, left_input=443795878, right_input=-676, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=887592752","layer":1},{"info":"number node, value=1250","layer":4},{"info":"compute unary expreesion, input=1250, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=1583","layer":2},{"info":"number node, value=3472","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=3472, right_input=1728, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=898775","layer":3},{"info":"number node, value=7543","layer":4},{"info":"compute unary expreesion, input=7543, 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=898775, 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=1583, 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=887592752, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=887592752","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯1030323⨜⨶⪩⨒∯312000⫉⨲⊜⪩⨒∯123323∺≝⩲⪩⨒∯223131⪚(⪩⨒∯1021333∴≳≥)⇂≾⫗(⪩⨒∯33231⨭⪣⪩⨒∯102122)⋣⋖(((⇖⪩⨒∯103202)⫲⨊)∖⪩⨒∯312100≎⊠⪸⪩⨒∯123000⨸⪁(⪩⨒∯1311313∧))=⪩⨒∯310321321130300","reverse_text":"⪩⨒∯310321321130300=⪩⨒∯1030323⨜⨶⪩⨒∯312000⫉⨲⊜⪩⨒∯123323∺≝⩲⪩⨒∯223131⪚(⪩⨒∯1021333∴≳≥)⇂≾⫗(⪩⨒∯33231⨭⪣⪩⨒∯102122)⋣⋖(((⇖⪩⨒∯103202)⫲⨊)∖⪩⨒∯312100≎⊠⪸⪩⨒∯123000⨸⪁(⪩⨒∯1311313∧))","cot":[{"info":"⪩⨒∯1030323⨜⨶⪩⨒∯312000=⪩⨒∯-1220000","layer":3},{"info":"⪩⨒∯123323∺≝⩲⪩⨒∯223131=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-1220000⫉⨲⊜⪩⨒∯2200=⪩⨒∯122130330212212","layer":2},{"info":"⪩⨒∯1021333∴≳≥=⪩⨒∯10213330","layer":3},{"info":"⪩⨒∯33231⨭⪣⪩⨒∯102122=⪩⨒∯-10102","layer":3},{"info":"⪩⨒∯10213330⇂≾⫗⪩⨒∯-10102=⪩⨒∯-22210","layer":2},{"info":"⪩⨒∯122130330212212⪚⪩⨒∯-22210=⪩⨒∯310321321130300","layer":1},{"info":"⇖⪩⨒∯103202=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2200⫲⨊=⪩⨒∯120233","layer":2},{"info":"⪩⨒∯312100≎⊠⪸⪩⨒∯123000=⪩⨒∯3123123113","layer":3},{"info":"⪩⨒∯1311313∧=NaN","layer":3},{"info":"⪩⨒∯3123123113⨸⪁NaN=NaN","layer":2},{"info":"⪩⨒∯120233∖NaN=⪩⨒∯0","layer":1},{"info":"⪩⨒∯310321321130300⋣⋖⪩⨒∯0=⪩⨒∯310321321130300","layer":0}]}
{"id":815,"expression_no_base_symbol":"($1902$↦)⋣⋖(⩪∧⨌$4069$)⫸⊐($1765$⊭↱$4208$)⊋($2182$⪉⨛$1333$)⋻⩜⩜((⩎⋉($2818$⋆⋳))⨘)","expression":"(⪩⨒∯131232↦)⋣⋖(⩪∧⨌⪩⨒∯333211)⫸⊐(⪩⨒∯123211⊭↱⪩⨒∯1001300)⊋(⪩⨒∯202012⪉⨛⪩⨒∯110311)⋻⩜⩜((⩎⋉(⪩⨒∯230002⋆⋳))⨘)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":399873,"operation_count":11,"complexity_ratio":36352.09090909091,"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":1902,"base":4}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":4069,"base":4}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1765,"base":4},"right_expr":{"type":"numeric_atoms","value":4208,"base":4}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"numeric_atoms","value":2182,"base":4},"right_expr":{"type":"numeric_atoms","value":1333,"base":4}}}},"right_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"unary","operator":"⋆⋳","unary_expr":{"type":"numeric_atoms","value":2818,"base":4}}}}},"used_operators":["oDCm7WA9JY","mqXw5SEYmG","J0M6qkBnIM","fFznvYxMfW","6iOiAJX1F8","W4tP9CfskL","COABgblf1C","EWw2JM7wp4","ljcfZBUpm8","FlXk3pOYe8","6MpZysEj17"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","9FxExcQeMw","7j4O788W3g","DIvbN7qnHd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1902","layer":4},{"info":"compute unary expreesion, input=1902, 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=4069","layer":4},{"info":"compute unary expreesion, input=4069, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=40690","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=40690, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":2},{"info":"number node, value=1765","layer":4},{"info":"number node, value=4208","layer":4},{"info":"compute binary expreesion, left_input=1765, right_input=4208, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4891","layer":3},{"info":"number node, value=2182","layer":4},{"info":"number node, value=1333","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=1333, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=5428","layer":3},{"info":"compute binary expreesion, left_input=4891, right_input=5428, 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=-21304440","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21304440, 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":1},{"info":"number node, value=2818","layer":4},{"info":"compute unary expreesion, input=2818, op_id = 6MpZysEj17, unary_op_definition = 'a⋆⋳ = { ((a⊠≄⫣)⩷∴(a↺a)) }', output=-5668","layer":3},{"info":"compute unary expreesion, input=-5668, 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 unary expreesion, input=1650, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-12325","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-12325, 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":4,"result_base":4,"text":"(⪩⨒∯131232↦)⋣⋖(⩪∧⨌⪩⨒∯333211)⫸⊐(⪩⨒∯123211⊭↱⪩⨒∯1001300)⊋(⪩⨒∯202012⪉⨛⪩⨒∯110311)⋻⩜⩜((⩎⋉(⪩⨒∯230002⋆⋳))⨘)=NaN","reverse_text":"NaN=(⪩⨒∯131232↦)⋣⋖(⩪∧⨌⪩⨒∯333211)⫸⊐(⪩⨒∯123211⊭↱⪩⨒∯1001300)⊋(⪩⨒∯202012⪉⨛⪩⨒∯110311)⋻⩜⩜((⩎⋉(⪩⨒∯230002⋆⋳))⨘)","cot":[{"info":"⪩⨒∯131232↦=NaN","layer":3},{"info":"⩪∧⨌⪩⨒∯333211=⪩⨒∯21323302","layer":3},{"info":"NaN⋣⋖⪩⨒∯21323302=NaN","layer":2},{"info":"⪩⨒∯123211⊭↱⪩⨒∯1001300=⪩⨒∯1030123","layer":3},{"info":"⪩⨒∯202012⪉⨛⪩⨒∯110311=⪩⨒∯1110310","layer":3},{"info":"⪩⨒∯1030123⊋⪩⨒∯1110310=⪩⨒∯-1101101101320","layer":2},{"info":"NaN⫸⊐⪩⨒∯-1101101101320=NaN","layer":1},{"info":"⪩⨒∯230002⋆⋳=⪩⨒∯-1120210","layer":3},{"info":"⩎⋉⪩⨒∯-1120210=⪩⨒∯121302","layer":2},{"info":"⪩⨒∯121302⨘=⪩⨒∯-3000211","layer":1},{"info":"NaN⋻⩜⩜⪩⨒∯-3000211=NaN","layer":0}]}
{"id":816,"expression_no_base_symbol":"(($1682$⋳⪒$2163$⋖∅⋲)⊹∫⫚($2496$⇮⋭$3231$)≌($4003$≬⋮$1184$))⊮⊟↴((⨰⫟⨤($5685$≧⫂∧$2825$))⨐⩸⫘($1097$⊴$2491$)⩣⫁∢($2293$⪥$1375$))","expression":"((⪩⨒∯122102⋳⪒⪩⨒∯201303⋖∅⋲)⊹∫⫚(⪩⨒∯213000⇮⋭⪩⨒∯302133)≌(⪩⨒∯332203≬⋮⪩⨒∯102200))⊮⊟↴((⨰⫟⨤(⪩⨒∯1120311≧⫂∧⪩⨒∯230021))⨐⩸⫘(⪩⨒∯101021⊴⪩⨒∯212323)⩣⫁∢(⪩⨒∯203311⪥⪩⨒∯111133))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":771152,"operation_count":13,"complexity_ratio":59319.38461538462,"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":4},"right_expr":{"type":"numeric_atoms","value":2163,"base":4}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⇮⋭","left_expr":{"type":"numeric_atoms","value":2496,"base":4},"right_expr":{"type":"numeric_atoms","value":3231,"base":4}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":4003,"base":4},"right_expr":{"type":"numeric_atoms","value":1184,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5685,"base":4},"right_expr":{"type":"numeric_atoms","value":2825,"base":4}}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1097,"base":4},"right_expr":{"type":"numeric_atoms","value":2491,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2293,"base":4},"right_expr":{"type":"numeric_atoms","value":1375,"base":4}}}}},"used_operators":["QDVgd2eftb","uWAJUKEvyW","L95AwlJzhO","12rbrZMWeM","lyWz822IDG","vkpjKywKVM","kbkesczE7y","fu6greOZ01","Tw270M8GLb","Ph9nP6C5qx","JDUIKTTSIa","Nsiff2A1zJ","QbnwKVWMIQ"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","dWAJyo7jo9","14qkJME0vr","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1682","layer":4},{"info":"number node, value=2163","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=2163, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=914","layer":3},{"info":"compute unary expreesion, input=914, op_id = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":2},{"info":"number node, value=2496","layer":4},{"info":"number node, value=3231","layer":4},{"info":"compute binary expreesion, left_input=2496, right_input=3231, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=-473","layer":3},{"info":"number node, value=4003","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=4003, right_input=1184, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute binary expreesion, left_input=-473, right_input=868, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=12564","layer":2},{"info":"compute binary expreesion, left_input=-384231, right_input=12564, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-36","layer":1},{"info":"number node, value=5685","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=5685, right_input=2825, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2352","layer":3},{"info":"compute unary expreesion, input=2352, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=2491","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=2491, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2293","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=1375, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=13824","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13824, 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 = 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":"compute binary expreesion, left_input=-36, right_input=nan, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯122102⋳⪒⪩⨒∯201303⋖∅⋲)⊹∫⫚(⪩⨒∯213000⇮⋭⪩⨒∯302133)≌(⪩⨒∯332203≬⋮⪩⨒∯102200))⊮⊟↴((⨰⫟⨤(⪩⨒∯1120311≧⫂∧⪩⨒∯230021))⨐⩸⫘(⪩⨒∯101021⊴⪩⨒∯212323)⩣⫁∢(⪩⨒∯203311⪥⪩⨒∯111133))=NaN","reverse_text":"NaN=((⪩⨒∯122102⋳⪒⪩⨒∯201303⋖∅⋲)⊹∫⫚(⪩⨒∯213000⇮⋭⪩⨒∯302133)≌(⪩⨒∯332203≬⋮⪩⨒∯102200))⊮⊟↴((⨰⫟⨤(⪩⨒∯1120311≧⫂∧⪩⨒∯230021))⨐⩸⫘(⪩⨒∯101021⊴⪩⨒∯212323)⩣⫁∢(⪩⨒∯203311⪥⪩⨒∯111133))","cot":[{"info":"⪩⨒∯122102⋳⪒⪩⨒∯201303=⪩⨒∯32102","layer":3},{"info":"⪩⨒∯32102⋖∅⋲=⪩⨒∯-1131303213","layer":2},{"info":"⪩⨒∯213000⇮⋭⪩⨒∯302133=⪩⨒∯-13121","layer":3},{"info":"⪩⨒∯332203≬⋮⪩⨒∯102200=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯-13121≌⪩⨒∯31210=⪩⨒∯3010110","layer":2},{"info":"⪩⨒∯-1131303213⊹∫⫚⪩⨒∯3010110=⪩⨒∯-210","layer":1},{"info":"⪩⨒∯1120311≧⫂∧⪩⨒∯230021=⪩⨒∯210300","layer":3},{"info":"⨰⫟⨤⪩⨒∯210300=NaN","layer":2},{"info":"⪩⨒∯101021⊴⪩⨒∯212323=NaN","layer":3},{"info":"⪩⨒∯203311⪥⪩⨒∯111133=⪩⨒∯3120000","layer":3},{"info":"NaN⩣⫁∢⪩⨒∯3120000=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⪩⨒∯-210⊮⊟↴NaN=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"(⇘(⨈⫕$1538$⊋$3289$))≴⪞⇿((⇐$2018$)⩷∴$2463$⫁⪎$1059$⊿∆)","expression":"(⇘(⨈⫕⪩⨒∯120002⊋⪩⨒∯303121))≴⪞⇿((⇐⪩⨒∯133202)⩷∴⪩⨒∯212133⫁⪎⪩⨒∯100203⊿∆)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4031,"operation_count":8,"complexity_ratio":503.875,"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":1538,"base":4},"right_expr":{"type":"numeric_atoms","value":3289,"base":4}}}},"right_expr":{"type":"unary","operator":"⊿∆","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":2018,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2463,"base":4},"right_expr":{"type":"numeric_atoms","value":1059,"base":4}}}}},"used_operators":["lvlrscuwVU","MGuIdZPyUC","megm06wKyl","W4tP9CfskL","fv3ZujxkQL","9FxExcQeMw","nmZMaaE0Q9","xRrnTEsQ6j"],"dependent_operators":["DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","NTOWxs364D","rysDP5nf3Z","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI"],"result":"⪩⨒∯-1123113003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1538","layer":4},{"info":"number node, value=3289","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=3289, 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=-43943616","layer":3},{"info":"compute unary expreesion, input=-43943616, 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":"compute unary expreesion, input=-21, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-14241","layer":1},{"info":"number node, value=2018","layer":4},{"info":"compute unary expreesion, input=2018, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=5538","layer":3},{"info":"number node, value=2463","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=1059, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1404","layer":3},{"info":"compute binary expreesion, left_input=5538, right_input=1404, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8236","layer":2},{"info":"compute unary expreesion, input=8236, op_id = fv3ZujxkQL, unary_op_definition = 'a⊿∆ = { (a⩚⊴⇥a) }', output=-16593","layer":1},{"info":"compute binary expreesion, left_input=-14241, right_input=-16593, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-374211","layer":0}],"base":4,"result_base":4,"text":"(⇘(⨈⫕⪩⨒∯120002⊋⪩⨒∯303121))≴⪞⇿((⇐⪩⨒∯133202)⩷∴⪩⨒∯212133⫁⪎⪩⨒∯100203⊿∆)=⪩⨒∯-1123113003","reverse_text":"⪩⨒∯-1123113003=(⇘(⨈⫕⪩⨒∯120002⊋⪩⨒∯303121))≴⪞⇿((⇐⪩⨒∯133202)⩷∴⪩⨒∯212133⫁⪎⪩⨒∯100203⊿∆)","cot":[{"info":"⪩⨒∯120002⊋⪩⨒∯303121=⪩⨒∯-2213220123000","layer":3},{"info":"⨈⫕⪩⨒∯-2213220123000=⪩⨒∯-111","layer":2},{"info":"⇘⪩⨒∯-111=⪩⨒∯-3132201","layer":1},{"info":"⇐⪩⨒∯133202=⪩⨒∯1112202","layer":3},{"info":"⪩⨒∯212133⫁⪎⪩⨒∯100203=⪩⨒∯111330","layer":3},{"info":"⪩⨒∯1112202⩷∴⪩⨒∯111330=⪩⨒∯2000230","layer":2},{"info":"⪩⨒∯2000230⊿∆=⪩⨒∯-10003101","layer":1},{"info":"⪩⨒∯-3132201≴⪞⇿⪩⨒∯-10003101=⪩⨒∯-1123113003","layer":0}]}
{"id":818,"expression_no_base_symbol":"(⪁⇼$3130$)⇄($4317$⊵↤)≃($2068$+⇶⊼$1157$)⇴(⇁⨣⪵$2740$)∽(⩰$6795$)⩼⇪↪($1150$↡⊰⫅$3133$)*(⊥($4991$≭$1790$))","expression":"(⪁⇼⪩⨒∯300322)⇄(⪩⨒∯1003131⊵↤)≃(⪩⨒∯200110+⇶⊼⪩⨒∯102011)⇴(⇁⨣⪵⪩⨒∯222310)∽(⩰⪩⨒∯1222023)⩼⇪↪(⪩⨒∯101332↡⊰⫅⪩⨒∯300331)*(⊥(⪩⨒∯1031333≭⪩⨒∯123332))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43986,"operation_count":14,"complexity_ratio":3141.8571428571427,"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":3130,"base":4}},"right_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":4317,"base":4}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2068,"base":4},"right_expr":{"type":"numeric_atoms","value":1157,"base":4}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2740,"base":4}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"unary","operator":"⩰","unary_expr":{"type":"numeric_atoms","value":6795,"base":4}},"right_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"numeric_atoms","value":1150,"base":4},"right_expr":{"type":"numeric_atoms","value":3133,"base":4}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4991,"base":4},"right_expr":{"type":"numeric_atoms","value":1790,"base":4}}}}},"used_operators":["y4ImoPnbV5","YbVcJGFEVW","3EYGwJThht","ZNVVrZ94lY","7IPrd9c3lf","4JB6nKBMSY","TpPTUOHfaN","inkyxCbjAn","9HNa5Wba9A","ocnLzx9CaJ","WkeUrDK8WX","VCtxkLNOzz","Q3PJZHRvZv","rxpJgHHUmx"],"dependent_operators":["NTOWxs364D","QMFrweE19q","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","sdazOOVcIp","NTOWxs364D","COABgblf1C","AHs5Up7iyr","B5M0gjZbta","W4YGzv6Whe","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","xUOZtlo3hN","Z2TMIBDE3Q","g55IO6H4Gj","i8ToyICDmI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","fu6greOZ01","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3130","layer":4},{"info":"compute unary expreesion, input=3130, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":3},{"info":"number node, value=4317","layer":4},{"info":"compute unary expreesion, input=4317, 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 binary expreesion, left_input=422, right_input=67, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"number node, value=2068","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=2068, right_input=1157, 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=2740","layer":4},{"info":"compute unary expreesion, input=2740, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, 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=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":"number node, value=6795","layer":4},{"info":"compute unary expreesion, input=6795, op_id = WkeUrDK8WX, unary_op_definition = '⩰a = { (((a⨸⪁500)⩤)+(a∲⫓(⨞⊢a))) }', output=-7795","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=3133","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=3133, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=6266","layer":3},{"info":"compute binary expreesion, left_input=-7795, right_input=6266, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-60235","layer":2},{"info":"number node, value=4991","layer":4},{"info":"number node, value=1790","layer":4},{"info":"compute binary expreesion, left_input=4991, right_input=1790, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-60235, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪁⇼⪩⨒∯300322)⇄(⪩⨒∯1003131⊵↤)≃(⪩⨒∯200110+⇶⊼⪩⨒∯102011)⇴(⇁⨣⪵⪩⨒∯222310)∽(⩰⪩⨒∯1222023)⩼⇪↪(⪩⨒∯101332↡⊰⫅⪩⨒∯300331)*(⊥(⪩⨒∯1031333≭⪩⨒∯123332))=NaN","reverse_text":"NaN=(⪁⇼⪩⨒∯300322)⇄(⪩⨒∯1003131⊵↤)≃(⪩⨒∯200110+⇶⊼⪩⨒∯102011)⇴(⇁⨣⪵⪩⨒∯222310)∽(⩰⪩⨒∯1222023)⩼⇪↪(⪩⨒∯101332↡⊰⫅⪩⨒∯300331)*(⊥(⪩⨒∯1031333≭⪩⨒∯123332))","cot":[{"info":"⪁⇼⪩⨒∯300322=⪩⨒∯12212","layer":3},{"info":"⪩⨒∯1003131⊵↤=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯12212⇄⪩⨒∯1003=⪩⨒∯0","layer":2},{"info":"⪩⨒∯200110+⇶⊼⪩⨒∯102011=NaN","layer":3},{"info":"⇁⨣⪵⪩⨒∯222310=NaN","layer":3},{"info":"NaN⇴NaN=NaN","layer":2},{"info":"⪩⨒∯0≃NaN=NaN","layer":1},{"info":"⩰⪩⨒∯1222023=⪩⨒∯-1321303","layer":3},{"info":"⪩⨒∯101332↡⊰⫅⪩⨒∯300331=⪩⨒∯1201322","layer":3},{"info":"⪩⨒∯-1321303⩼⇪↪⪩⨒∯1201322=⪩⨒∯-32231023","layer":2},{"info":"⪩⨒∯1031333≭⪩⨒∯123332=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⪩⨒∯-32231023*NaN=NaN","layer":1},{"info":"NaN∽NaN=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"⇁⨣⪵((⨈⫕(≑⋹$3616$))⊉≛↸($3279$⩵∡$5760$)∺≝⩲($1011$⪒⊣⊆$5001$))","expression":"⇁⨣⪵((⨈⫕(≑⋹⪩⨒∯320200))⊉≛↸(⪩⨒∯303033⩵∡⪩⨒∯1122000)∺≝⩲(⪩⨒∯33303⪒⊣⊆⪩⨒∯1032021))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":760,"operation_count":7,"complexity_ratio":108.57142857142857,"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":3616,"base":4}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":3279,"base":4},"right_expr":{"type":"numeric_atoms","value":5760,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1011,"base":4},"right_expr":{"type":"numeric_atoms","value":5001,"base":4}}}}},"used_operators":["inkyxCbjAn","DZ8iAZOCBD","megm06wKyl","6B9nyZLogK","KPf6cnQVty","Y7wcNGrDQJ","eRqsBgTDFp"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","NTOWxs364D","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","W4YGzv6Whe"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3616","layer":4},{"info":"compute unary expreesion, input=3616, 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 = 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=3279","layer":4},{"info":"number node, value=5760","layer":4},{"info":"compute binary expreesion, left_input=3279, right_input=5760, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-919","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=5001","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=5001, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2022","layer":3},{"info":"compute binary expreesion, left_input=-919, right_input=2022, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-42","layer":1},{"info":"compute unary expreesion, input=-42, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":0}],"base":4,"result_base":4,"text":"⇁⨣⪵((⨈⫕(≑⋹⪩⨒∯320200))⊉≛↸(⪩⨒∯303033⩵∡⪩⨒∯1122000)∺≝⩲(⪩⨒∯33303⪒⊣⊆⪩⨒∯1032021))=⪩⨒∯0","reverse_text":"⪩⨒∯0=⇁⨣⪵((⨈⫕(≑⋹⪩⨒∯320200))⊉≛↸(⪩⨒∯303033⩵∡⪩⨒∯1122000)∺≝⩲(⪩⨒∯33303⪒⊣⊆⪩⨒∯1032021))","cot":[{"info":"≑⋹⪩⨒∯320200=⪩⨒∯121302","layer":3},{"info":"⨈⫕⪩⨒∯121302=⪩⨒∯-111","layer":2},{"info":"⪩⨒∯303033⩵∡⪩⨒∯1122000=⪩⨒∯-32113","layer":3},{"info":"⪩⨒∯33303⪒⊣⊆⪩⨒∯1032021=⪩⨒∯133212","layer":3},{"info":"⪩⨒∯-32113∺≝⩲⪩⨒∯133212=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯-111⊉≛↸⪩⨒∯2200=⪩⨒∯-222","layer":1},{"info":"⇁⨣⪵⪩⨒∯-222=⪩⨒∯0","layer":0}]}
{"id":820,"expression_no_base_symbol":"(↨(($1926$∲⫓$2155$)⊍⩺⋍$1691$⋹⋡⊁$2669$))⨻⩈⩔((⋂($3509$⨸⪁$5282$))↙($7613$≥⨤⩑$1527$)∀⇚≩$2592$⊮⊟↴$4611$)","expression":"(↨((⪩⨒∯132012∲⫓⪩⨒∯201223)⊍⩺⋍⪩⨒∯122123⋹⋡⊁⪩⨒∯221231))⨻⩈⩔((⋂(⪩⨒∯312311⨸⪁⪩⨒∯1102202))↙(⪩⨒∯1312331≥⨤⩑⪩⨒∯113313)∀⇚≩⪩⨒∯220200⊮⊟↴⪩⨒∯1020003)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":71669,"operation_count":11,"complexity_ratio":6515.363636363636,"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":1926,"base":4},"right_expr":{"type":"numeric_atoms","value":2155,"base":4}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":1691,"base":4},"right_expr":{"type":"numeric_atoms","value":2669,"base":4}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3509,"base":4},"right_expr":{"type":"numeric_atoms","value":5282,"base":4}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":7613,"base":4},"right_expr":{"type":"numeric_atoms","value":1527,"base":4}},"right_expr":{"type":"binary","operator":"⊮⊟↴","left_expr":{"type":"numeric_atoms","value":2592,"base":4},"right_expr":{"type":"numeric_atoms","value":4611,"base":4}}}}},"used_operators":["nEsXyWgiOK","jiX4gk2v2Q","OXDGMFPWZM","i8ToyICDmI","As8RqfVLgs","yyfyN0ffXY","BUOGQAYlQx","g55IO6H4Gj","LRNGc0VcxI","gJLn6v0xnP","QDVgd2eftb"],"dependent_operators":["D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","rGHVDoGpnC","oZj3VtZNQx","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","tmPS8pqC7x","DpFCA1CohY","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","W4YGzv6Whe","X99M06cbEe","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1926","layer":4},{"info":"number node, value=2155","layer":4},{"info":"compute binary expreesion, left_input=1926, right_input=2155, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1691","layer":4},{"info":"number node, value=2669","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=2669, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3419","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3419, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(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=3509","layer":4},{"info":"number node, value=5282","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=5282, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17582","layer":3},{"info":"compute unary expreesion, input=17582, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-245552","layer":2},{"info":"number node, value=7613","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=7613, right_input=1527, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=2592","layer":4},{"info":"number node, value=4611","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=4611, 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=1234, 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":2},{"info":"compute binary expreesion, left_input=-245552, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-245552","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-245552, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↨((⪩⨒∯132012∲⫓⪩⨒∯201223)⊍⩺⋍⪩⨒∯122123⋹⋡⊁⪩⨒∯221231))⨻⩈⩔((⋂(⪩⨒∯312311⨸⪁⪩⨒∯1102202))↙(⪩⨒∯1312331≥⨤⩑⪩⨒∯113313)∀⇚≩⪩⨒∯220200⊮⊟↴⪩⨒∯1020003)=NaN","reverse_text":"NaN=(↨((⪩⨒∯132012∲⫓⪩⨒∯201223)⊍⩺⋍⪩⨒∯122123⋹⋡⊁⪩⨒∯221231))⨻⩈⩔((⋂(⪩⨒∯312311⨸⪁⪩⨒∯1102202))↙(⪩⨒∯1312331≥⨤⩑⪩⨒∯113313)∀⇚≩⪩⨒∯220200⊮⊟↴⪩⨒∯1020003)","cot":[{"info":"⪩⨒∯132012∲⫓⪩⨒∯201223=⪩⨒∯0","layer":3},{"info":"⪩⨒∯122123⋹⋡⊁⪩⨒∯221231=⪩⨒∯311123","layer":3},{"info":"⪩⨒∯0⊍⩺⋍⪩⨒∯311123=NaN","layer":2},{"info":"↨NaN=NaN","layer":1},{"info":"⪩⨒∯312311⨸⪁⪩⨒∯1102202=⪩⨒∯10102232","layer":3},{"info":"⋂⪩⨒∯10102232=⪩⨒∯-323330300","layer":2},{"info":"⪩⨒∯1312331≥⨤⩑⪩⨒∯113313=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯220200⊮⊟↴⪩⨒∯1020003=⪩⨒∯0","layer":3},{"info":"⪩⨒∯103102∀⇚≩⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯-323330300↙NaN=⪩⨒∯-323330300","layer":1},{"info":"NaN⨻⩈⩔⪩⨒∯-323330300=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"((⨂⪏⇭$1843$)⪔(⊵⊁$2059$))≎⪠(($1413$≒∊$1932$)⋛($2188$⊝⪿⪼$6685$))⪉⨛($3114$⨐$2678$⋭≵$2101$⩚⊴⇥$1821$)⨔≚≋($2294$∙∹∝$3704$)⊴($2823$⨪↰⇹$1715$)","expression":"((⨂⪏⇭⪩⨒∯130303)⪔(⊵⊁⪩⨒∯200023))≎⪠((⪩⨒∯112011≒∊⪩⨒∯132030)⋛(⪩⨒∯202030⊝⪿⪼⪩⨒∯1220131))⪉⨛(⪩⨒∯300222⨐⪩⨒∯221312⋭≵⪩⨒∯200311⩚⊴⇥⪩⨒∯130131)⨔≚≋(⪩⨒∯203312∙∹∝⪩⨒∯321320)⊴(⪩⨒∯230013⨪↰⇹⪩⨒∯122303)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":36583,"operation_count":15,"complexity_ratio":2438.866666666667,"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":1843,"base":4}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":2059,"base":4}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1413,"base":4},"right_expr":{"type":"numeric_atoms","value":1932,"base":4}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":2188,"base":4},"right_expr":{"type":"numeric_atoms","value":6685,"base":4}}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":3114,"base":4},"right_expr":{"type":"numeric_atoms","value":2678,"base":4}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2101,"base":4},"right_expr":{"type":"numeric_atoms","value":1821,"base":4}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":2294,"base":4},"right_expr":{"type":"numeric_atoms","value":3704,"base":4}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2823,"base":4},"right_expr":{"type":"numeric_atoms","value":1715,"base":4}}}}},"used_operators":["EWw2JM7wp4","aNhz54LH3e","GjBEYRfMaF","AYdpE9sXAk","AvED76WdY7","YbUVn0Rbpy","5KTvxBwnZo","3Oe9XWJUTD","Z57zeUYC9z","jBncVCNhdl","Noe24qw2ks","NTOWxs364D","Nsiff2A1zJ","HmxsFra2vL","tmPS8pqC7x"],"dependent_operators":["NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","uBihLCJcMX","k8jYdgA6NY","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1843","layer":4},{"info":"compute unary expreesion, input=1843, op_id = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=4550","layer":3},{"info":"number node, value=2059","layer":4},{"info":"compute unary expreesion, input=2059, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=11284","layer":3},{"info":"compute binary expreesion, left_input=4550, right_input=11284, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=1413","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=1413, right_input=1932, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-929","layer":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=6685","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=6685, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=42752","layer":3},{"info":"compute binary expreesion, left_input=-929, right_input=42752, 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=-127029","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=-127029, 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=3114","layer":4},{"info":"number node, value=2678","layer":4},{"info":"compute binary expreesion, left_input=3114, right_input=2678, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-6228","layer":3},{"info":"number node, value=2101","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=2101, right_input=1821, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4043","layer":3},{"info":"compute binary expreesion, left_input=-6228, right_input=-4043, 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=2294","layer":4},{"info":"number node, value=3704","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=3704, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2823","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=2823, right_input=1715, 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=2823","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2823, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, 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=19558, right_input=nan, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⨂⪏⇭⪩⨒∯130303)⪔(⊵⊁⪩⨒∯200023))≎⪠((⪩⨒∯112011≒∊⪩⨒∯132030)⋛(⪩⨒∯202030⊝⪿⪼⪩⨒∯1220131))⪉⨛(⪩⨒∯300222⨐⪩⨒∯221312⋭≵⪩⨒∯200311⩚⊴⇥⪩⨒∯130131)⨔≚≋(⪩⨒∯203312∙∹∝⪩⨒∯321320)⊴(⪩⨒∯230013⨪↰⇹⪩⨒∯122303)=NaN","reverse_text":"NaN=((⨂⪏⇭⪩⨒∯130303)⪔(⊵⊁⪩⨒∯200023))≎⪠((⪩⨒∯112011≒∊⪩⨒∯132030)⋛(⪩⨒∯202030⊝⪿⪼⪩⨒∯1220131))⪉⨛(⪩⨒∯300222⨐⪩⨒∯221312⋭≵⪩⨒∯200311⩚⊴⇥⪩⨒∯130131)⨔≚≋(⪩⨒∯203312∙∹∝⪩⨒∯321320)⊴(⪩⨒∯230013⨪↰⇹⪩⨒∯122303)","cot":[{"info":"⨂⪏⇭⪩⨒∯130303=⪩⨒∯1013012","layer":3},{"info":"⊵⊁⪩⨒∯200023=⪩⨒∯2300110","layer":3},{"info":"⪩⨒∯1013012⪔⪩⨒∯2300110=⪩⨒∯13002","layer":2},{"info":"⪩⨒∯112011≒∊⪩⨒∯132030=⪩⨒∯-32201","layer":3},{"info":"⪩⨒∯202030⊝⪿⪼⪩⨒∯1220131=⪩⨒∯22130000","layer":3},{"info":"⪩⨒∯-32201⋛⪩⨒∯22130000=⪩⨒∯-133000311","layer":2},{"info":"⪩⨒∯13002≎⪠⪩⨒∯-133000311=⪩⨒∯10301212","layer":1},{"info":"⪩⨒∯300222⨐⪩⨒∯221312=⪩⨒∯-1201110","layer":3},{"info":"⪩⨒∯200311⩚⊴⇥⪩⨒∯130131=⪩⨒∯-333023","layer":3},{"info":"⪩⨒∯-1201110⋭≵⪩⨒∯-333023=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯203312∙∹∝⪩⨒∯321320=⪩⨒∯0","layer":3},{"info":"⪩⨒∯230013⨪↰⇹⪩⨒∯122303=⪩⨒∯230013","layer":3},{"info":"⪩⨒∯0⊴⪩⨒∯230013=NaN","layer":2},{"info":"⪩⨒∯1003⨔≚≋NaN=NaN","layer":1},{"info":"⪩⨒∯10301212⪉⨛NaN=NaN","layer":0}]}
{"id":822,"expression_no_base_symbol":"⊖∈$1119$⊉↱≁$2870$⫁⪎($1222$⊲⩕⊾$1274$)⨪↰⇹($3351$⊋$1128$⋝⋈⪟$1365$∣$2391$)","expression":"⊖∈⪩⨒∯101133⊉↱≁⪩⨒∯230312⫁⪎(⪩⨒∯103012⊲⩕⊾⪩⨒∯103322)⨪↰⇹(⪩⨒∯310113⊋⪩⨒∯101220⋝⋈⪟⪩⨒∯111111∣⪩⨒∯211113)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26114,"operation_count":8,"complexity_ratio":3264.25,"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":1119,"base":4},"right_expr":{"type":"numeric_atoms","value":2870,"base":4}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1222,"base":4},"right_expr":{"type":"numeric_atoms","value":1274,"base":4}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":3351,"base":4},"right_expr":{"type":"numeric_atoms","value":1128,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1365,"base":4},"right_expr":{"type":"numeric_atoms","value":2391,"base":4}}}}},"used_operators":["YFxL8Sc2Zy","tmPS8pqC7x","xRrnTEsQ6j","w2P8NbNXyL","DmTXOeWf9t","2DDjHMKMc0","W4tP9CfskL","PPChnnnBFF"],"dependent_operators":["zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","rJVOvQCfKK","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⪩⨒∯1220332032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1119","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=2870, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-7144","layer":3},{"info":"number node, value=1222","layer":4},{"info":"number node, value=1274","layer":4},{"info":"compute binary expreesion, left_input=1222, right_input=1274, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-28922","layer":3},{"info":"compute binary expreesion, left_input=-7144, right_input=-28922, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=21778","layer":2},{"info":"number node, value=3351","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=1128, 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=18955560","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=2391","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=2391, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1365","layer":3},{"info":"compute binary expreesion, left_input=18955560, right_input=1365, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=18955560","layer":2},{"info":"compute binary expreesion, left_input=21778, right_input=18955560, 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=21778","layer":1},{"info":"compute unary expreesion, input=21778, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=429966","layer":0}],"base":4,"result_base":4,"text":"⊖∈⪩⨒∯101133⊉↱≁⪩⨒∯230312⫁⪎(⪩⨒∯103012⊲⩕⊾⪩⨒∯103322)⨪↰⇹(⪩⨒∯310113⊋⪩⨒∯101220⋝⋈⪟⪩⨒∯111111∣⪩⨒∯211113)=⪩⨒∯1220332032","reverse_text":"⪩⨒∯1220332032=⊖∈⪩⨒∯101133⊉↱≁⪩⨒∯230312⫁⪎(⪩⨒∯103012⊲⩕⊾⪩⨒∯103322)⨪↰⇹(⪩⨒∯310113⊋⪩⨒∯101220⋝⋈⪟⪩⨒∯111111∣⪩⨒∯211113)","cot":[{"info":"⪩⨒∯101133⊉↱≁⪩⨒∯230312=⪩⨒∯-1233220","layer":3},{"info":"⪩⨒∯103012⊲⩕⊾⪩⨒∯103322=⪩⨒∯-13003322","layer":3},{"info":"⪩⨒∯-1233220⫁⪎⪩⨒∯-13003322=⪩⨒∯11110102","layer":2},{"info":"⪩⨒∯310113⊋⪩⨒∯101220=⪩⨒∯1020103310220","layer":3},{"info":"⪩⨒∯111111∣⪩⨒∯211113=⪩⨒∯111111","layer":3},{"info":"⪩⨒∯1020103310220⋝⋈⪟⪩⨒∯111111=⪩⨒∯1020103310220","layer":2},{"info":"⪩⨒∯11110102⨪↰⇹⪩⨒∯1020103310220=⪩⨒∯11110102","layer":1},{"info":"⊖∈⪩⨒∯11110102=⪩⨒∯1220332032","layer":0}]}
{"id":823,"expression_no_base_symbol":"(((⨡↴$3275$)≳⇉$3755$⫞⩸⩒$4545$)⊬⨰(($5112$∪⫐$3881$)∑⇟⊟($7520$⩢≌)))∘((($1013$⋷$1504$)⨓($4659$⨔≚≋$2920$))+⪬∐(⪹$1001$)≴⪞⇿($2500$⪥$7513$))","expression":"(((⨡↴⪩⨒∯303023)≳⇉⪩⨒∯322223⫞⩸⩒⪩⨒∯1013001)⊬⨰((⪩⨒∯1033320∪⫐⪩⨒∯330221)∑⇟⊟(⪩⨒∯1311200⩢≌)))∘(((⪩⨒∯33311⋷⪩⨒∯113200)⨓(⪩⨒∯1020303⨔≚≋⪩⨒∯231220))+⪬∐(⪹⪩⨒∯33221)≴⪞⇿(⪩⨒∯213010⪥⪩⨒∯1311121))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":290446530,"operation_count":15,"complexity_ratio":19363102.0,"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":3275,"base":4}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":3755,"base":4},"right_expr":{"type":"numeric_atoms","value":4545,"base":4}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5112,"base":4},"right_expr":{"type":"numeric_atoms","value":3881,"base":4}},"right_expr":{"type":"unary","operator":"⩢≌","unary_expr":{"type":"numeric_atoms","value":7520,"base":4}}}},"right_expr":{"type":"binary","operator":"+⪬∐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1013,"base":4},"right_expr":{"type":"numeric_atoms","value":1504,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":4659,"base":4},"right_expr":{"type":"numeric_atoms","value":2920,"base":4}}},"right_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":1001,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2500,"base":4},"right_expr":{"type":"numeric_atoms","value":7513,"base":4}}}}},"used_operators":["Z5m6OM72h2","s3Fd5m9Dh2","V0kx6qeWkN","liw5iZPkLH","XGcMNugi78","U7g4x0WXJJ","7YooWSwCyH","D617RFjZIq","2GS7woTJqF","3ViojmjbAp","23Mk6UjR3U","Z57zeUYC9z","lvlrscuwVU","USyYr0JgAa","QbnwKVWMIQ"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","P8v4zCKN1o","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","2DDjHMKMc0","hTbEZDJLEm","o20kRiQErp","g55IO6H4Gj","D4vGDi5EA2","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","tifHPKVTfV","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3275","layer":4},{"info":"compute unary expreesion, input=3275, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=4324","layer":3},{"info":"number node, value=3755","layer":4},{"info":"number node, value=4545","layer":4},{"info":"compute binary expreesion, left_input=3755, right_input=4545, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4545","layer":3},{"info":"compute binary expreesion, left_input=4324, right_input=4545, 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=5112","layer":4},{"info":"number node, value=3881","layer":4},{"info":"compute binary expreesion, left_input=5112, right_input=3881, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5112","layer":3},{"info":"number node, value=7520","layer":4},{"info":"compute unary expreesion, input=7520, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=5112, right_input=113, 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 = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=nan","layer":1},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1504, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1995","layer":3},{"info":"number node, value=4659","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=4659, right_input=2920, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":3},{"info":"compute binary expreesion, left_input=1995, right_input=9872, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9875","layer":2},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-821","layer":3},{"info":"number node, value=2500","layer":4},{"info":"number node, value=7513","layer":4},{"info":"compute binary expreesion, left_input=2500, right_input=7513, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=14652","layer":3},{"info":"compute binary expreesion, left_input=-821, right_input=14652, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=-14352","layer":2},{"info":"compute binary expreesion, left_input=-9875, right_input=-14352, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=29625","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=29625, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⨡↴⪩⨒∯303023)≳⇉⪩⨒∯322223⫞⩸⩒⪩⨒∯1013001)⊬⨰((⪩⨒∯1033320∪⫐⪩⨒∯330221)∑⇟⊟(⪩⨒∯1311200⩢≌)))∘(((⪩⨒∯33311⋷⪩⨒∯113200)⨓(⪩⨒∯1020303⨔≚≋⪩⨒∯231220))+⪬∐(⪹⪩⨒∯33221)≴⪞⇿(⪩⨒∯213010⪥⪩⨒∯1311121))=NaN","reverse_text":"NaN=(((⨡↴⪩⨒∯303023)≳⇉⪩⨒∯322223⫞⩸⩒⪩⨒∯1013001)⊬⨰((⪩⨒∯1033320∪⫐⪩⨒∯330221)∑⇟⊟(⪩⨒∯1311200⩢≌)))∘(((⪩⨒∯33311⋷⪩⨒∯113200)⨓(⪩⨒∯1020303⨔≚≋⪩⨒∯231220))+⪬∐(⪹⪩⨒∯33221)≴⪞⇿(⪩⨒∯213010⪥⪩⨒∯1311121))","cot":[{"info":"⨡↴⪩⨒∯303023=⪩⨒∯1003210","layer":3},{"info":"⪩⨒∯322223⫞⩸⩒⪩⨒∯1013001=⪩⨒∯1013001","layer":3},{"info":"⪩⨒∯1003210≳⇉⪩⨒∯1013001=NaN","layer":2},{"info":"⪩⨒∯1033320∪⫐⪩⨒∯330221=⪩⨒∯1033320","layer":3},{"info":"⪩⨒∯1311200⩢≌=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯1033320∑⇟⊟⪩⨒∯1301=NaN","layer":2},{"info":"NaN⊬⨰NaN=NaN","layer":1},{"info":"⪩⨒∯33311⋷⪩⨒∯113200=⪩⨒∯133023","layer":3},{"info":"⪩⨒∯1020303⨔≚≋⪩⨒∯231220=⪩⨒∯2122100","layer":3},{"info":"⪩⨒∯133023⨓⪩⨒∯2122100=⪩⨒∯-2122103","layer":2},{"info":"⪹⪩⨒∯33221=⪩⨒∯-30311","layer":3},{"info":"⪩⨒∯213010⪥⪩⨒∯1311121=⪩⨒∯3210330","layer":3},{"info":"⪩⨒∯-30311≴⪞⇿⪩⨒∯3210330=⪩⨒∯-3200100","layer":2},{"info":"⪩⨒∯-2122103+⪬∐⪩⨒∯-3200100=⪩⨒∯13032321","layer":1},{"info":"NaN∘⪩⨒∯13032321=NaN","layer":0}]}
{"id":824,"expression_no_base_symbol":"(($4566$⨫⇇↔$6207$)⪢($9691$⩹$1861$)⊨($3915$∣$5055$)⋛($1493$≄⊠$2030$))⩒⫫(($2959$↱$1449$)⨭⪣$1552$↹⊜$7301$)⩘($1242$∇⊂⋱$1677$⨭⪣$1582$⪒⊣⊆$1397$)","expression":"((⪩⨒∯1013112⨫⇇↔⪩⨒∯1200333)⪢(⪩⨒∯2113123⩹⪩⨒∯131011)⊨(⪩⨒∯331023∣⪩⨒∯1032333)⋛(⪩⨒∯113111≄⊠⪩⨒∯133232))⩒⫫((⪩⨒∯232033↱⪩⨒∯112221)⨭⪣⪩⨒∯120100↹⊜⪩⨒∯1302011)⩘(⪩⨒∯103122∇⊂⋱⪩⨒∯122031⨭⪣⪩⨒∯120232⪒⊣⊆⪩⨒∯111311)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":3062,"operation_count":15,"complexity_ratio":204.13333333333333,"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":4566,"base":4},"right_expr":{"type":"numeric_atoms","value":6207,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":9691,"base":4},"right_expr":{"type":"numeric_atoms","value":1861,"base":4}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3915,"base":4},"right_expr":{"type":"numeric_atoms","value":5055,"base":4}},"right_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":1493,"base":4},"right_expr":{"type":"numeric_atoms","value":2030,"base":4}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":2959,"base":4},"right_expr":{"type":"numeric_atoms","value":1449,"base":4}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":1552,"base":4},"right_expr":{"type":"numeric_atoms","value":7301,"base":4}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1242,"base":4},"right_expr":{"type":"numeric_atoms","value":1677,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1582,"base":4},"right_expr":{"type":"numeric_atoms","value":1397,"base":4}}}}},"used_operators":["KFSx94NKJn","vg4gO5BX6G","dWAJyo7jo9","LXhwmt4mBO","2Wsdkap16l","YbUVn0Rbpy","PPChnnnBFF","vXNesLlMH1","cHh1gJQ2o6","kn8WO9XteQ","SR5kFfdi6N","9bazX3JMtO","nhYeJWJD5X","eRqsBgTDFp"],"dependent_operators":["NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","k8jYdgA6NY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4566","layer":4},{"info":"number node, value=6207","layer":4},{"info":"compute binary expreesion, left_input=4566, right_input=6207, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=9691","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=9691, right_input=1861, 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=1859","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=1859, 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=3915","layer":4},{"info":"number node, value=5055","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=5055, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3915","layer":3},{"info":"number node, value=1493","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=2030, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=37148","layer":3},{"info":"compute binary expreesion, left_input=3915, right_input=37148, 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=-96957","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-96957, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":1},{"info":"number node, value=2959","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=2959, right_input=1449, 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=-3825","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=7301","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=7301, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-26196","layer":3},{"info":"compute binary expreesion, left_input=-3825, right_input=-26196, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=3030","layer":2},{"info":"number node, value=1242","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=1242, right_input=1677, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=1938","layer":3},{"info":"number node, value=1582","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=1397, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3164","layer":3},{"info":"compute binary expreesion, left_input=1938, right_input=3164, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=659","layer":2},{"info":"compute binary expreesion, left_input=3030, right_input=659, 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 = 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":4,"result_base":4,"text":"((⪩⨒∯1013112⨫⇇↔⪩⨒∯1200333)⪢(⪩⨒∯2113123⩹⪩⨒∯131011)⊨(⪩⨒∯331023∣⪩⨒∯1032333)⋛(⪩⨒∯113111≄⊠⪩⨒∯133232))⩒⫫((⪩⨒∯232033↱⪩⨒∯112221)⨭⪣⪩⨒∯120100↹⊜⪩⨒∯1302011)⩘(⪩⨒∯103122∇⊂⋱⪩⨒∯122031⨭⪣⪩⨒∯120232⪒⊣⊆⪩⨒∯111311)=NaN","reverse_text":"NaN=((⪩⨒∯1013112⨫⇇↔⪩⨒∯1200333)⪢(⪩⨒∯2113123⩹⪩⨒∯131011)⊨(⪩⨒∯331023∣⪩⨒∯1032333)⋛(⪩⨒∯113111≄⊠⪩⨒∯133232))⩒⫫((⪩⨒∯232033↱⪩⨒∯112221)⨭⪣⪩⨒∯120100↹⊜⪩⨒∯1302011)⩘(⪩⨒∯103122∇⊂⋱⪩⨒∯122031⨭⪣⪩⨒∯120232⪒⊣⊆⪩⨒∯111311)","cot":[{"info":"⪩⨒∯1013112⨫⇇↔⪩⨒∯1200333=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯2113123⩹⪩⨒∯131011=⪩⨒∯131003","layer":3},{"info":"⪩⨒∯-20033⪢⪩⨒∯131003=NaN","layer":2},{"info":"⪩⨒∯331023∣⪩⨒∯1032333=⪩⨒∯331023","layer":3},{"info":"⪩⨒∯113111≄⊠⪩⨒∯133232=⪩⨒∯21010130","layer":3},{"info":"⪩⨒∯331023⋛⪩⨒∯21010130=⪩⨒∯-113222331","layer":2},{"info":"NaN⊨⪩⨒∯-113222331=NaN","layer":1},{"info":"⪩⨒∯232033↱⪩⨒∯112221=⪩⨒∯-323301","layer":3},{"info":"⪩⨒∯120100↹⊜⪩⨒∯1302011=⪩⨒∯-12121110","layer":3},{"info":"⪩⨒∯-323301⨭⪣⪩⨒∯-12121110=⪩⨒∯233112","layer":2},{"info":"⪩⨒∯103122∇⊂⋱⪩⨒∯122031=⪩⨒∯132102","layer":3},{"info":"⪩⨒∯120232⪒⊣⊆⪩⨒∯111311=⪩⨒∯301130","layer":3},{"info":"⪩⨒∯132102⨭⪣⪩⨒∯301130=⪩⨒∯22103","layer":2},{"info":"⪩⨒∯233112⩘⪩⨒∯22103=⪩⨒∯2200","layer":1},{"info":"NaN⩒⫫⪩⨒∯2200=NaN","layer":0}]}
{"id":825,"expression_no_base_symbol":"((↑(⨆≐≲$1339$))⩷∴$1626$⨂≜$5653$∌(⋂$2689$))⫣⪄⊒((⨆≐≲$5177$)⨽∌($3949$⪛$4145$)⪛⫼($6352$⋷$5226$⨵⪆$3912$⩖⊿$1425$))","expression":"((↑(⨆≐≲⪩⨒∯110323))⩷∴⪩⨒∯121122⨂≜⪩⨒∯1120111∌(⋂⪩⨒∯222001))⫣⪄⊒((⨆≐≲⪩⨒∯1100321)⨽∌(⪩⨒∯331231⪛⪩⨒∯1000301)⪛⫼(⪩⨒∯1203100⋷⪩⨒∯1101222⨵⪆⪩⨒∯331020⩖⊿⪩⨒∯112101))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2182,"operation_count":14,"complexity_ratio":155.85714285714286,"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":1339,"base":4}}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":1626,"base":4},"right_expr":{"type":"numeric_atoms","value":5653,"base":4}},"right_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":2689,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"numeric_atoms","value":5177,"base":4}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3949,"base":4},"right_expr":{"type":"numeric_atoms","value":4145,"base":4}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6352,"base":4},"right_expr":{"type":"numeric_atoms","value":5226,"base":4}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":3912,"base":4},"right_expr":{"type":"numeric_atoms","value":1425,"base":4}}}}},"used_operators":["RabNbG55vr","9FxExcQeMw","tR7O2zTn5j","Bi9z9uYZqW","8cLx32lpNA","k1SHOSEABc","BUOGQAYlQx","hyuBjUqXlG","9samAPKr6k","uFcxV4UQCh","2DQ55sFlQl","23Mk6UjR3U","RZ5CV9rWsJ"],"dependent_operators":["NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","rysDP5nf3Z","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"⪩⨒∯-102210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1339","layer":4},{"info":"compute unary expreesion, input=1339, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=14320536","layer":3},{"info":"compute unary expreesion, input=14320536, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=1626","layer":4},{"info":"number node, value=5653","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=5653, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"number node, value=2689","layer":4},{"info":"compute unary expreesion, input=2689, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-37050","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-37050, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=37050","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=37050, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-73748","layer":1},{"info":"number node, value=5177","layer":4},{"info":"compute unary expreesion, input=5177, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=56323608","layer":3},{"info":"number node, value=3949","layer":4},{"info":"number node, value=4145","layer":4},{"info":"compute binary expreesion, left_input=3949, right_input=4145, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3949","layer":3},{"info":"compute binary expreesion, left_input=56323608, right_input=3949, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"number node, value=6352","layer":4},{"info":"number node, value=5226","layer":4},{"info":"compute binary expreesion, left_input=6352, right_input=5226, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4100","layer":3},{"info":"number node, value=3912","layer":4},{"info":"number node, value=1425","layer":4},{"info":"compute binary expreesion, left_input=3912, right_input=1425, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-4330","layer":3},{"info":"compute binary expreesion, left_input=4100, right_input=-4330, 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=0, 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":1},{"info":"compute binary expreesion, left_input=-73748, right_input=968, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-1188","layer":0}],"base":4,"result_base":4,"text":"((↑(⨆≐≲⪩⨒∯110323))⩷∴⪩⨒∯121122⨂≜⪩⨒∯1120111∌(⋂⪩⨒∯222001))⫣⪄⊒((⨆≐≲⪩⨒∯1100321)⨽∌(⪩⨒∯331231⪛⪩⨒∯1000301)⪛⫼(⪩⨒∯1203100⋷⪩⨒∯1101222⨵⪆⪩⨒∯331020⩖⊿⪩⨒∯112101))=⪩⨒∯-102210","reverse_text":"⪩⨒∯-102210=((↑(⨆≐≲⪩⨒∯110323))⩷∴⪩⨒∯121122⨂≜⪩⨒∯1120111∌(⋂⪩⨒∯222001))⫣⪄⊒((⨆≐≲⪩⨒∯1100321)⨽∌(⪩⨒∯331231⪛⪩⨒∯1000301)⪛⫼(⪩⨒∯1203100⋷⪩⨒∯1101222⨵⪆⪩⨒∯331020⩖⊿⪩⨒∯112101))","cot":[{"info":"⨆≐≲⪩⨒∯110323=⪩⨒∯312220032120","layer":3},{"info":"↑⪩⨒∯312220032120=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯121122⨂≜⪩⨒∯1120111=NaN","layer":3},{"info":"⋂⪩⨒∯222001=⪩⨒∯-21002322","layer":3},{"info":"NaN∌⪩⨒∯-21002322=⪩⨒∯21002322","layer":2},{"info":"⪩⨒∯3000⩷∴⪩⨒∯21002322=⪩⨒∯-102000110","layer":1},{"info":"⨆≐≲⪩⨒∯1100321=⪩⨒∯3112312320120","layer":3},{"info":"⪩⨒∯331231⪛⪩⨒∯1000301=⪩⨒∯331231","layer":3},{"info":"⪩⨒∯3112312320120⨽∌⪩⨒∯331231=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1203100⋷⪩⨒∯1101222=⪩⨒∯1000010","layer":3},{"info":"⪩⨒∯331020⩖⊿⪩⨒∯112101=⪩⨒∯-1003222","layer":3},{"info":"⪩⨒∯1000010⨵⪆⪩⨒∯-1003222=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯0⪛⫼⪩⨒∯2200=⪩⨒∯33020","layer":1},{"info":"⪩⨒∯-102000110⫣⪄⊒⪩⨒∯33020=⪩⨒∯-102210","layer":0}]}
{"id":826,"expression_no_base_symbol":"(⊖(⨛($3457$⫲)))⨫⇇↔($3346$∌$1234$)↢($1805$⨼⩣$4068$)⪎↠((≘$4096$)↼⊘⨖($4957$∝$1730$))","expression":"(⊖(⨛(⪩⨒∯312001⫲)))⨫⇇↔(⪩⨒∯310102∌⪩⨒∯103102)↢(⪩⨒∯130031⨼⩣⪩⨒∯333210)⪎↠((≘⪩⨒∯1000000)↼⊘⨖(⪩⨒∯1031131∝⪩⨒∯123002))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":685,"operation_count":11,"complexity_ratio":62.27272727272727,"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":3457,"base":4}}}},"right_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":3346,"base":4},"right_expr":{"type":"numeric_atoms","value":1234,"base":4}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1805,"base":4},"right_expr":{"type":"numeric_atoms","value":4068,"base":4}}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"numeric_atoms","value":4096,"base":4}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":4957,"base":4},"right_expr":{"type":"numeric_atoms","value":1730,"base":4}}}}},"used_operators":["LXhwmt4mBO","U6pG0PXrV3","CoMdbyAt7R","9xnGDUPbC6","3tVxb0NHM4","WR6HLWljOP","8cLx32lpNA","JxwMv5le6e","bPywburJMS","tcjXMdvYtA","cTDWOvIxvz"],"dependent_operators":["d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","tifHPKVTfV","i8ToyICDmI","D4vGDi5EA2","nCS4ZIUYfx","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","7j4O788W3g","W4YGzv6Whe","COABgblf1C"],"result":"⪩⨒∯-20033","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3457","layer":4},{"info":"compute unary expreesion, input=3457, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=3184","layer":3},{"info":"compute unary expreesion, input=3184, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = U6pG0PXrV3, unary_op_definition = '⊖a = { (((a⇼⇔∾a)⨳⩥⨓(a≦≮≮))∲⫓a) }', output=nan","layer":1},{"info":"number node, value=3346","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=3346, right_input=1234, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1234","layer":3},{"info":"number node, value=1805","layer":4},{"info":"number node, value=4068","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=4068, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1234, 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":"number node, value=4096","layer":4},{"info":"compute unary expreesion, input=4096, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=9032464","layer":3},{"info":"number node, value=4957","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=1730, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=4962","layer":3},{"info":"compute binary expreesion, left_input=9032464, right_input=4962, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=9702","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9702, op_id = 3tVxb0NHM4 binary_op_definition= 'a⪎↠b = { ((77⋳⪒665)⨵⪆(662↺b)) , if a>621 ; (∥⊫(a↺a)) , else }', 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":4,"result_base":4,"text":"(⊖(⨛(⪩⨒∯312001⫲)))⨫⇇↔(⪩⨒∯310102∌⪩⨒∯103102)↢(⪩⨒∯130031⨼⩣⪩⨒∯333210)⪎↠((≘⪩⨒∯1000000)↼⊘⨖(⪩⨒∯1031131∝⪩⨒∯123002))=⪩⨒∯-20033","reverse_text":"⪩⨒∯-20033=(⊖(⨛(⪩⨒∯312001⫲)))⨫⇇↔(⪩⨒∯310102∌⪩⨒∯103102)↢(⪩⨒∯130031⨼⩣⪩⨒∯333210)⪎↠((≘⪩⨒∯1000000)↼⊘⨖(⪩⨒∯1031131∝⪩⨒∯123002))","cot":[{"info":"⪩⨒∯312001⫲=⪩⨒∯301300","layer":3},{"info":"⨛⪩⨒∯301300=NaN","layer":2},{"info":"⊖NaN=NaN","layer":1},{"info":"⪩⨒∯310102∌⪩⨒∯103102=⪩⨒∯-103102","layer":3},{"info":"⪩⨒∯130031⨼⩣⪩⨒∯333210=NaN","layer":3},{"info":"⪩⨒∯-103102↢NaN=NaN","layer":2},{"info":"≘⪩⨒∯1000000=⪩⨒∯202131030100","layer":3},{"info":"⪩⨒∯1031131∝⪩⨒∯123002=⪩⨒∯1031202","layer":3},{"info":"⪩⨒∯202131030100↼⊘⨖⪩⨒∯1031202=⪩⨒∯2113212","layer":2},{"info":"NaN⪎↠⪩⨒∯2113212=NaN","layer":1},{"info":"NaN⨫⇇↔NaN=⪩⨒∯-20033","layer":0}]}
{"id":827,"expression_no_base_symbol":"⊢≑≆(($1661$⊲⩕⊾$2504$)⨿($5063$⫰⋱$2428$)⪭≯$4309$⫉⨲⊜$2716$∑⇟⊟(↩⪖$1266$))","expression":"⊢≑≆((⪩⨒∯121331⊲⩕⊾⪩⨒∯213020)⨿(⪩⨒∯1033013⫰⋱⪩⨒∯211330)⪭≯⪩⨒∯1003111⫉⨲⊜⪩⨒∯222130∑⇟⊟(↩⪖⪩⨒∯103302))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":145404,"operation_count":8,"complexity_ratio":18175.5,"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":1661,"base":4},"right_expr":{"type":"numeric_atoms","value":2504,"base":4}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":5063,"base":4},"right_expr":{"type":"numeric_atoms","value":2428,"base":4}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":4309,"base":4},"right_expr":{"type":"numeric_atoms","value":2716,"base":4}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1266,"base":4}}}}},"used_operators":["27wFxooxGf","XAx5wpdLa6","abYXlopdE0","DmTXOeWf9t","6o9Blt3TJ6","U7g4x0WXJJ","WhqkvtTD3t","fG6uBQFnGz"],"dependent_operators":["eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","eewbuw0ToL","zVYPLywUTj","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1661","layer":4},{"info":"number node, value=2504","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=2504, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-48246","layer":3},{"info":"number node, value=5063","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=5063, right_input=2428, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-5030","layer":3},{"info":"compute binary expreesion, left_input=-48246, right_input=-5030, op_id = abYXlopdE0 binary_op_definition= 'a⨿b = { (((a∲⫓409)≬⇓(a⩒⫫a))∓⋝((146⫥∨⫟b)≥⨤⩑(219⨥⫆b))) }', output=67","layer":2},{"info":"number node, value=4309","layer":4},{"info":"number node, value=2716","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=2716, op_id = WhqkvtTD3t binary_op_definition= 'a⫉⨲⊜b = { (b⨰120) , if b<=7 ; (a⊪) , else }', output=0","layer":3},{"info":"number node, value=1266","layer":4},{"info":"compute unary expreesion, input=1266, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-10578","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10578, 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 = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"⊢≑≆((⪩⨒∯121331⊲⩕⊾⪩⨒∯213020)⨿(⪩⨒∯1033013⫰⋱⪩⨒∯211330)⪭≯⪩⨒∯1003111⫉⨲⊜⪩⨒∯222130∑⇟⊟(↩⪖⪩⨒∯103302))=NaN","reverse_text":"NaN=⊢≑≆((⪩⨒∯121331⊲⩕⊾⪩⨒∯213020)⨿(⪩⨒∯1033013⫰⋱⪩⨒∯211330)⪭≯⪩⨒∯1003111⫉⨲⊜⪩⨒∯222130∑⇟⊟(↩⪖⪩⨒∯103302))","cot":[{"info":"⪩⨒∯121331⊲⩕⊾⪩⨒∯213020=⪩⨒∯-23301312","layer":3},{"info":"⪩⨒∯1033013⫰⋱⪩⨒∯211330=⪩⨒∯-1032212","layer":3},{"info":"⪩⨒∯-23301312⨿⪩⨒∯-1032212=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯1003111⫉⨲⊜⪩⨒∯222130=⪩⨒∯0","layer":3},{"info":"↩⪖⪩⨒∯103302=⪩⨒∯-2211102","layer":3},{"info":"⪩⨒∯0∑⇟⊟⪩⨒∯-2211102=NaN","layer":2},{"info":"⪩⨒∯1003⪭≯NaN=NaN","layer":1},{"info":"⊢≑≆NaN=NaN","layer":0}]}
{"id":828,"expression_no_base_symbol":"(($2041$≁↽≥$3828$)⫠)⪬(⨮↦↱($5184$∥⊢⊲$2388$))⩧⪆((⫶⊄≣$1321$)↸$1707$⪒⊣⊆$1317$⪎⩰)","expression":"((⪩⨒∯133321≁↽≥⪩⨒∯323310)⫠)⪬(⨮↦↱(⪩⨒∯1101000∥⊢⊲⪩⨒∯211110))⩧⪆((⫶⊄≣⪩⨒∯110221)↸⪩⨒∯122223⪒⊣⊆⪩⨒∯110211⪎⩰)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":573090,"operation_count":10,"complexity_ratio":57309.0,"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":2041,"base":4},"right_expr":{"type":"numeric_atoms","value":3828,"base":4}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":5184,"base":4},"right_expr":{"type":"numeric_atoms","value":2388,"base":4}}}},"right_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"binary","operator":"↸","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":1321,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1707,"base":4},"right_expr":{"type":"numeric_atoms","value":1317,"base":4}}}}},"used_operators":["Ikt5ks8PT7","Ez1Nq5fNfI","6SnOT2rOjz","ncHt1X6cMc","sYcpBQ0cFf","v1UQAVDJRr","2ufhKmSs5H","1eCjFl0mb9","wxb3vTeyAj","eRqsBgTDFp"],"dependent_operators":["eewbuw0ToL","t8gj7n24qd","eRqsBgTDFp","mp7IySMOzn","JL8yIekQnl","QvoQhV0rrE","kbkesczE7y","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","oWn0xqSxBt","3Oe9XWJUTD","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","EBcxylXtPf","rGHVDoGpnC","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","sdazOOVcIp","W4YGzv6Whe"],"result":"⪩⨒∯202","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2041","layer":4},{"info":"number node, value=3828","layer":4},{"info":"compute binary expreesion, left_input=2041, right_input=3828, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=40547","layer":3},{"info":"compute unary expreesion, input=40547, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"number node, value=5184","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=5184, right_input=2388, 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 = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Ez1Nq5fNfI binary_op_definition= 'a⪬b = { (((514⋫)⪒⊣⊆(b≬⋮a))∠⫱(1⇷(b≬⋮32))) }', output=1234","layer":1},{"info":"number node, value=1321","layer":4},{"info":"compute unary expreesion, input=1321, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=31431205","layer":3},{"info":"number node, value=1707","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=1317, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3414","layer":3},{"info":"compute binary expreesion, left_input=31431205, right_input=3414, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=31431205","layer":2},{"info":"compute unary expreesion, input=31431205, op_id = 2ufhKmSs5H, unary_op_definition = 'a⪎⩰ = { (17≋⫹) , if a>=326 and a!=597 ; (((a⪒a)⫌⩹⨱)⊭↱(⋗⩬⋾(756⪨≂a))) , else }', output=-34","layer":1},{"info":"compute binary expreesion, left_input=1234, right_input=-34, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=34","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯133321≁↽≥⪩⨒∯323310)⫠)⪬(⨮↦↱(⪩⨒∯1101000∥⊢⊲⪩⨒∯211110))⩧⪆((⫶⊄≣⪩⨒∯110221)↸⪩⨒∯122223⪒⊣⊆⪩⨒∯110211⪎⩰)=⪩⨒∯202","reverse_text":"⪩⨒∯202=((⪩⨒∯133321≁↽≥⪩⨒∯323310)⫠)⪬(⨮↦↱(⪩⨒∯1101000∥⊢⊲⪩⨒∯211110))⩧⪆((⫶⊄≣⪩⨒∯110221)↸⪩⨒∯122223⪒⊣⊆⪩⨒∯110211⪎⩰)","cot":[{"info":"⪩⨒∯133321≁↽≥⪩⨒∯323310=⪩⨒∯21321203","layer":3},{"info":"⪩⨒∯21321203⫠=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1101000∥⊢⊲⪩⨒∯211110=NaN","layer":3},{"info":"⨮↦↱NaN=NaN","layer":2},{"info":"⪩⨒∯0⪬NaN=⪩⨒∯103102","layer":1},{"info":"⫶⊄≣⪩⨒∯110221=⪩⨒∯1313321220211","layer":3},{"info":"⪩⨒∯122223⪒⊣⊆⪩⨒∯110211=⪩⨒∯311112","layer":3},{"info":"⪩⨒∯1313321220211↸⪩⨒∯311112=⪩⨒∯1313321220211","layer":2},{"info":"⪩⨒∯1313321220211⪎⩰=⪩⨒∯-202","layer":1},{"info":"⪩⨒∯103102⩧⪆⪩⨒∯-202=⪩⨒∯202","layer":0}]}
{"id":829,"expression_no_base_symbol":"(⊿(⇠$1375$→⨶⪴$4042$))∺≝⩲($2752$⋛$1374$≧⫂∧$2920$⊴$2531$)⨔⇊((⫓⪴$1536$)∙⊟$1031$∺≝⩲$2408$)","expression":"(⊿(⇠⪩⨒∯111133→⨶⪴⪩⨒∯333022))∺≝⩲(⪩⨒∯223000⋛⪩⨒∯111132≧⫂∧⪩⨒∯231220⊴⪩⨒∯213203)⨔⇊((⫓⪴⪩⨒∯120000)∙⊟⪩⨒∯100013∺≝⩲⪩⨒∯211220)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5230,"operation_count":11,"complexity_ratio":475.45454545454544,"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":1375,"base":4},"right_expr":{"type":"numeric_atoms","value":4042,"base":4}}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":2752,"base":4},"right_expr":{"type":"numeric_atoms","value":1374,"base":4}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2920,"base":4},"right_expr":{"type":"numeric_atoms","value":2531,"base":4}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1536,"base":4}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"numeric_atoms","value":1031,"base":4},"right_expr":{"type":"numeric_atoms","value":2408,"base":4}}}}},"used_operators":["KPf6cnQVty","DO4fhlbJSI","18saOjeKKm","bF6eod5Gvf","JclMnS0uGI","Ph9nP6C5qx","YbUVn0Rbpy","Nsiff2A1zJ","SxTAKzQCrw","eLxqMNBOBk"],"dependent_operators":["BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","dWAJyo7jo9","14qkJME0vr","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9HNa5Wba9A"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1375","layer":4},{"info":"number node, value=4042","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=4042, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-12126","layer":3},{"info":"compute unary expreesion, input=-12126, op_id = 18saOjeKKm, unary_op_definition = '⇠a = { ((a⨳⩥⨓242)∲⫓(229⪨≂a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-738","layer":1},{"info":"number node, value=2752","layer":4},{"info":"number node, value=1374","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=1374, 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=-107424","layer":3},{"info":"number node, value=2920","layer":4},{"info":"number node, value=2531","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=2531, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-107424, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=1536","layer":4},{"info":"compute unary expreesion, input=1536, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2359296","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=2408","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2408, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2359296, right_input=160, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=30680694","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=30680694, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=30680694","layer":1},{"info":"compute binary expreesion, left_input=-738, right_input=30680694, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":0}],"base":4,"result_base":4,"text":"(⊿(⇠⪩⨒∯111133→⨶⪴⪩⨒∯333022))∺≝⩲(⪩⨒∯223000⋛⪩⨒∯111132≧⫂∧⪩⨒∯231220⊴⪩⨒∯213203)⨔⇊((⫓⪴⪩⨒∯120000)∙⊟⪩⨒∯100013∺≝⩲⪩⨒∯211220)=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=(⊿(⇠⪩⨒∯111133→⨶⪴⪩⨒∯333022))∺≝⩲(⪩⨒∯223000⋛⪩⨒∯111132≧⫂∧⪩⨒∯231220⊴⪩⨒∯213203)⨔⇊((⫓⪴⪩⨒∯120000)∙⊟⪩⨒∯100013∺≝⩲⪩⨒∯211220)","cot":[{"info":"⪩⨒∯111133→⨶⪴⪩⨒∯333022=⪩⨒∯-2331132","layer":3},{"info":"⇠⪩⨒∯-2331132=⪩⨒∯0","layer":2},{"info":"⊿⪩⨒∯0=⪩⨒∯-23202","layer":1},{"info":"⪩⨒∯223000⋛⪩⨒∯111132=⪩⨒∯-122032200","layer":3},{"info":"⪩⨒∯231220⊴⪩⨒∯213203=NaN","layer":3},{"info":"⪩⨒∯-122032200≧⫂∧NaN=NaN","layer":2},{"info":"⫓⪴⪩⨒∯120000=⪩⨒∯21000000000","layer":3},{"info":"⪩⨒∯100013∺≝⩲⪩⨒∯211220=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯21000000000∙⊟⪩⨒∯2200=⪩⨒∯1311002121312","layer":2},{"info":"NaN⨔⇊⪩⨒∯1311002121312=⪩⨒∯1311002121312","layer":1},{"info":"⪩⨒∯-23202∺≝⩲⪩⨒∯1311002121312=⪩⨒∯2200","layer":0}]}
{"id":830,"expression_no_base_symbol":"⇋↷((↴⪽⋼$1039$⊢$2343$)≬⋮($2940$⩷∴$5797$)⇡⇂($6806$⫣⪄⊒$2014$))","expression":"⇋↷((↴⪽⋼⪩⨒∯100033⊢⪩⨒∯210213)≬⋮(⪩⨒∯231330⩷∴⪩⨒∯1122211)⇡⇂(⪩⨒∯1222112⫣⪄⊒⪩⨒∯133132))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":95285,"operation_count":7,"complexity_ratio":13612.142857142857,"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":1039,"base":4},"right_expr":{"type":"numeric_atoms","value":2343,"base":4}}},"right_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2940,"base":4},"right_expr":{"type":"numeric_atoms","value":5797,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":6806,"base":4},"right_expr":{"type":"numeric_atoms","value":2014,"base":4}}}}},"used_operators":["SWo3A1KBJH","kbkesczE7y","5TUYCnJO6w","5twsqlHp2o","UMwdvZNt44","9FxExcQeMw","RabNbG55vr"],"dependent_operators":["XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","rysDP5nf3Z","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=2343, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-2322","layer":3},{"info":"compute unary expreesion, input=-2322, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=35822","layer":2},{"info":"number node, value=2940","layer":4},{"info":"number node, value=5797","layer":4},{"info":"compute binary expreesion, left_input=2940, right_input=5797, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5746","layer":3},{"info":"number node, value=6806","layer":4},{"info":"number node, value=2014","layer":4},{"info":"compute binary expreesion, left_input=6806, right_input=2014, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-11896","layer":3},{"info":"compute binary expreesion, left_input=-5746, right_input=-11896, 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=35822, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', 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":4,"result_base":4,"text":"⇋↷((↴⪽⋼⪩⨒∯100033⊢⪩⨒∯210213)≬⋮(⪩⨒∯231330⩷∴⪩⨒∯1122211)⇡⇂(⪩⨒∯1222112⫣⪄⊒⪩⨒∯133132))=NaN","reverse_text":"NaN=⇋↷((↴⪽⋼⪩⨒∯100033⊢⪩⨒∯210213)≬⋮(⪩⨒∯231330⩷∴⪩⨒∯1122211)⇡⇂(⪩⨒∯1222112⫣⪄⊒⪩⨒∯133132))","cot":[{"info":"⪩⨒∯100033⊢⪩⨒∯210213=⪩⨒∯-210102","layer":3},{"info":"↴⪽⋼⪩⨒∯-210102=⪩⨒∯20233232","layer":2},{"info":"⪩⨒∯231330⩷∴⪩⨒∯1122211=⪩⨒∯-1121302","layer":3},{"info":"⪩⨒∯1222112⫣⪄⊒⪩⨒∯133132=⪩⨒∯-2321320","layer":3},{"info":"⪩⨒∯-1121302⇡⇂⪩⨒∯-2321320=NaN","layer":2},{"info":"⪩⨒∯20233232≬⋮NaN=NaN","layer":1},{"info":"⇋↷NaN=NaN","layer":0}]}
{"id":831,"expression_no_base_symbol":"((⨈⪑$3956$)≓∲($4524$⩨$6552$)⪒($1723$⫌⩉⩟$5126$)⪡$2055$∑⇟⊟$5049$)⪑⩈","expression":"((⨈⪑⪩⨒∯331310)≓∲(⪩⨒∯1012230⩨⪩⨒∯1212120)⪒(⪩⨒∯122323⫌⩉⩟⪩⨒∯1100012)⪡⪩⨒∯200013∑⇟⊟⪩⨒∯1032321)⪑⩈","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25671,"operation_count":8,"complexity_ratio":3208.875,"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":3956,"base":4}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4524,"base":4},"right_expr":{"type":"numeric_atoms","value":6552,"base":4}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1723,"base":4},"right_expr":{"type":"numeric_atoms","value":5126,"base":4}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2055,"base":4},"right_expr":{"type":"numeric_atoms","value":5049,"base":4}}}}},"used_operators":["C6VvDP6HwP","f6k1SAg4EE","s1XTVnmDOJ","mp94q5OcYM","2DlMacCsIx","oraRL2iQuh","XIIwhv8d0m","U7g4x0WXJJ"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪩⨒∯1101113021","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3956","layer":4},{"info":"compute unary expreesion, input=3956, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"number node, value=4524","layer":4},{"info":"number node, value=6552","layer":4},{"info":"compute binary expreesion, left_input=4524, right_input=6552, 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=868, right_input=-3, 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=-45245","layer":2},{"info":"number node, value=1723","layer":4},{"info":"number node, value=5126","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=5126, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2055","layer":4},{"info":"number node, value=5049","layer":4},{"info":"compute binary expreesion, left_input=2055, right_input=5049, 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=-50, right_input=nan, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-2136","layer":2},{"info":"compute binary expreesion, left_input=-45245, right_input=-2136, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=47381","layer":1},{"info":"compute unary expreesion, input=47381, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=333257","layer":0}],"base":4,"result_base":4,"text":"((⨈⪑⪩⨒∯331310)≓∲(⪩⨒∯1012230⩨⪩⨒∯1212120)⪒(⪩⨒∯122323⫌⩉⩟⪩⨒∯1100012)⪡⪩⨒∯200013∑⇟⊟⪩⨒∯1032321)⪑⩈=⪩⨒∯1101113021","reverse_text":"⪩⨒∯1101113021=((⨈⪑⪩⨒∯331310)≓∲(⪩⨒∯1012230⩨⪩⨒∯1212120)⪒(⪩⨒∯122323⫌⩉⩟⪩⨒∯1100012)⪡⪩⨒∯200013∑⇟⊟⪩⨒∯1032321)⪑⩈","cot":[{"info":"⨈⪑⪩⨒∯331310=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯1012230⩨⪩⨒∯1212120=⪩⨒∯-3","layer":3},{"info":"⪩⨒∯31210≓∲⪩⨒∯-3=⪩⨒∯-23002331","layer":2},{"info":"⪩⨒∯122323⫌⩉⩟⪩⨒∯1100012=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯200013∑⇟⊟⪩⨒∯1032321=NaN","layer":3},{"info":"⪩⨒∯-302⪡NaN=⪩⨒∯-201120","layer":2},{"info":"⪩⨒∯-23002331⪒⪩⨒∯-201120=⪩⨒∯23210111","layer":1},{"info":"⪩⨒∯23210111⪑⩈=⪩⨒∯1101113021","layer":0}]}
{"id":832,"expression_no_base_symbol":"⨞⊢(⇐(⨵($8778$↬$6459$)))","expression":"⨞⊢(⇐(⨵(⪩⨒∯2021022↬⪩⨒∯1210323)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":96,"operation_count":4,"complexity_ratio":24.0,"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":8778,"base":4},"right_expr":{"type":"numeric_atoms","value":6459,"base":4}}}}},"used_operators":["xUOZtlo3hN","nmZMaaE0Q9","Tl3Y52tvF8","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=8778","layer":4},{"info":"number node, value=6459","layer":4},{"info":"compute binary expreesion, left_input=8778, right_input=6459, 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 = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⨞⊢(⇐(⨵(⪩⨒∯2021022↬⪩⨒∯1210323)))=NaN","reverse_text":"NaN=⨞⊢(⇐(⨵(⪩⨒∯2021022↬⪩⨒∯1210323)))","cot":[{"info":"⪩⨒∯2021022↬⪩⨒∯1210323=NaN","layer":3},{"info":"⨵NaN=NaN","layer":2},{"info":"⇐NaN=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"⊆⋠((⇨$1260$⨿$2994$)⋭≵(($4579$∀⋜↑)⨱∎))","expression":"⊆⋠((⇨⪩⨒∯103230⨿⪩⨒∯232302)⋭≵((⪩⨒∯1013203∀⋜↑)⨱∎))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":304,"operation_count":6,"complexity_ratio":50.666666666666664,"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":1260,"base":4},"right_expr":{"type":"numeric_atoms","value":2994,"base":4}}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":4579,"base":4}}}}},"used_operators":["EBhcHTkKd8","jBncVCNhdl","G9tJMlZ94a","abYXlopdE0","MmTdOpaElr","KipPnG1M2J"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","k8jYdgA6NY","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","tifHPKVTfV","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"⪩⨒∯11130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1260","layer":4},{"info":"number node, value=2994","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=2994, 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 = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":2},{"info":"number node, value=4579","layer":4},{"info":"compute unary expreesion, input=4579, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute unary expreesion, input=-484, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=34","layer":1},{"info":"compute unary expreesion, input=34, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=348","layer":0}],"base":4,"result_base":4,"text":"⊆⋠((⇨⪩⨒∯103230⨿⪩⨒∯232302)⋭≵((⪩⨒∯1013203∀⋜↑)⨱∎))=⪩⨒∯11130","reverse_text":"⪩⨒∯11130=⊆⋠((⇨⪩⨒∯103230⨿⪩⨒∯232302)⋭≵((⪩⨒∯1013203∀⋜↑)⨱∎))","cot":[{"info":"⪩⨒∯103230⨿⪩⨒∯232302=⪩⨒∯-10333","layer":3},{"info":"⇨⪩⨒∯-10333=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1013203∀⋜↑=⪩⨒∯-13210","layer":3},{"info":"⪩⨒∯-13210⨱∎=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⋭≵⪩⨒∯0=⪩⨒∯202","layer":1},{"info":"⊆⋠⪩⨒∯202=⪩⨒∯11130","layer":0}]}
{"id":834,"expression_no_base_symbol":"⇤←((⪓⩚$7834$)⩘⨬⇊)⫔⩽⩺($2397$⨑⩅≇$6906$⇀∌)","expression":"⇤←((⪓⩚⪩⨒∯1322122)⩘⨬⇊)⫔⩽⩺(⪩⨒∯211131⨑⩅≇⪩⨒∯1223322⇀∌)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":192712,"operation_count":6,"complexity_ratio":32118.666666666668,"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":7834,"base":4}}},"right_expr":{"type":"unary","operator":"⇀∌","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":2397,"base":4},"right_expr":{"type":"numeric_atoms","value":6906,"base":4}}}}},"used_operators":["jfAgQ2OQeM","i9eR4S00cU","XXmTpEpWTW","u0R0Locfp2","2k53nXOpI5","h92wMvzauj"],"dependent_operators":["NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","Tw270M8GLb","fu6greOZ01","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7834","layer":4},{"info":"compute unary expreesion, input=7834, 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 = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=nan","layer":2},{"info":"number node, value=2397","layer":4},{"info":"number node, value=6906","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=6906, 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=-7191","layer":3},{"info":"compute unary expreesion, input=-7191, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇤←((⪓⩚⪩⨒∯1322122)⩘⨬⇊)⫔⩽⩺(⪩⨒∯211131⨑⩅≇⪩⨒∯1223322⇀∌)=NaN","reverse_text":"NaN=⇤←((⪓⩚⪩⨒∯1322122)⩘⨬⇊)⫔⩽⩺(⪩⨒∯211131⨑⩅≇⪩⨒∯1223322⇀∌)","cot":[{"info":"⪓⩚⪩⨒∯1322122=⪩⨒∯12222","layer":3},{"info":"⪩⨒∯12222⩘⨬⇊=NaN","layer":2},{"info":"⪩⨒∯211131⨑⩅≇⪩⨒∯1223322=⪩⨒∯-1300113","layer":3},{"info":"⪩⨒∯-1300113⇀∌=NaN","layer":2},{"info":"NaN⫔⩽⩺NaN=NaN","layer":1},{"info":"⇤←NaN=NaN","layer":0}]}
{"id":835,"expression_no_base_symbol":"(($1503$⪚$3257$)≁↽≥(⊵⊁$6413$)⫸⇳($3891$⨭⪣$4291$)↢($1815$⪥$1893$))⊮⊟↴(⫓⪴$5455$⇻⋧≁$1869$∥⊢⊲$8052$⨿$6417$)","expression":"((⪩⨒∯113133⪚⪩⨒∯302321)≁↽≥(⊵⊁⪩⨒∯1210031)⫸⇳(⪩⨒∯330303⨭⪣⪩⨒∯1003003)↢(⪩⨒∯130113⪥⪩⨒∯131211))⊮⊟↴(⫓⪴⪩⨒∯1111033⇻⋧≁⪩⨒∯131031∥⊢⊲⪩⨒∯1331310⨿⪩⨒∯1210101)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":7626,"operation_count":12,"complexity_ratio":635.5,"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":1503,"base":4},"right_expr":{"type":"numeric_atoms","value":3257,"base":4}},"right_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"numeric_atoms","value":6413,"base":4}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":3891,"base":4},"right_expr":{"type":"numeric_atoms","value":4291,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1815,"base":4},"right_expr":{"type":"numeric_atoms","value":1893,"base":4}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":5455,"base":4},"right_expr":{"type":"numeric_atoms","value":1869,"base":4}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":8052,"base":4},"right_expr":{"type":"numeric_atoms","value":6417,"base":4}}}}},"used_operators":["QDVgd2eftb","gx7XJ7hdpj","ncHt1X6cMc","HrjLwUk87U","AvED76WdY7","WR6HLWljOP","kn8WO9XteQ","QbnwKVWMIQ","eLxqMNBOBk","v1UQAVDJRr","jCPkEVoL5K","abYXlopdE0"],"dependent_operators":["XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","oWn0xqSxBt","3Oe9XWJUTD","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","uBihLCJcMX","k8jYdgA6NY","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","9HNa5Wba9A","EBcxylXtPf","rGHVDoGpnC","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1503","layer":4},{"info":"number node, value=3257","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=3257, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-3864","layer":3},{"info":"number node, value=6413","layer":4},{"info":"compute unary expreesion, input=6413, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=37408","layer":3},{"info":"compute binary expreesion, left_input=-3864, right_input=37408, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=-48028","layer":2},{"info":"number node, value=3891","layer":4},{"info":"number node, value=4291","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=4291, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=2612","layer":3},{"info":"number node, value=1815","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=1893, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=11912","layer":3},{"info":"compute binary expreesion, left_input=2612, right_input=11912, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2128","layer":2},{"info":"compute binary expreesion, left_input=-48028, right_input=2128, 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=5455","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=5455, right_input=1869, 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=8052","layer":4},{"info":"number node, value=6417","layer":4},{"info":"compute binary expreesion, left_input=8052, right_input=6417, 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=-447, right_input=-319, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = QDVgd2eftb binary_op_definition= 'a⊮⊟↴b = { ((⩰267)⪨⊡(b⊝⪿⪼a)) , if a!=19 ; ((b⨎372)/(b⪑⩈)) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯113133⪚⪩⨒∯302321)≁↽≥(⊵⊁⪩⨒∯1210031)⫸⇳(⪩⨒∯330303⨭⪣⪩⨒∯1003003)↢(⪩⨒∯130113⪥⪩⨒∯131211))⊮⊟↴(⫓⪴⪩⨒∯1111033⇻⋧≁⪩⨒∯131031∥⊢⊲⪩⨒∯1331310⨿⪩⨒∯1210101)=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯113133⪚⪩⨒∯302321)≁↽≥(⊵⊁⪩⨒∯1210031)⫸⇳(⪩⨒∯330303⨭⪣⪩⨒∯1003003)↢(⪩⨒∯130113⪥⪩⨒∯131211))⊮⊟↴(⫓⪴⪩⨒∯1111033⇻⋧≁⪩⨒∯131031∥⊢⊲⪩⨒∯1331310⨿⪩⨒∯1210101)","cot":[{"info":"⪩⨒∯113133⪚⪩⨒∯302321=⪩⨒∯-330120","layer":3},{"info":"⊵⊁⪩⨒∯1210031=⪩⨒∯21020200","layer":3},{"info":"⪩⨒∯-330120≁↽≥⪩⨒∯21020200=⪩⨒∯-23232130","layer":2},{"info":"⪩⨒∯330303⨭⪣⪩⨒∯1003003=⪩⨒∯220310","layer":3},{"info":"⪩⨒∯130113⪥⪩⨒∯131211=⪩⨒∯2322020","layer":3},{"info":"⪩⨒∯220310↢⪩⨒∯2322020=⪩⨒∯201100","layer":2},{"info":"⪩⨒∯-23232130⫸⇳⪩⨒∯201100=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1111033⇻⋧≁⪩⨒∯131031=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1331310⨿⪩⨒∯1210101=⪩⨒∯-10333","layer":3},{"info":"⪩⨒∯-12333∥⊢⊲⪩⨒∯-10333=⪩⨒∯0","layer":2},{"info":"⫓⪴⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯0⊮⊟↴⪩⨒∯0=⪩⨒∯0","layer":0}]}
{"id":836,"expression_no_base_symbol":"(($1265$⨐$3469$⋭≵$3038$⋣⋖$2164$)⨕⋳)∠⫱(⊵⊁($8217$≃$1175$))⪪(($8444$⫲)∝$3814$⊱⇼⊻$2873$)","expression":"((⪩⨒∯103301⨐⪩⨒∯312031⋭≵⪩⨒∯233132⋣⋖⪩⨒∯201310)⨕⋳)∠⫱(⊵⊁(⪩⨒∯2000121≃⪩⨒∯102113))⪪((⪩⨒∯2003330⫲)∝⪩⨒∯323212⊱⇼⊻⪩⨒∯230321)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":258,"operation_count":11,"complexity_ratio":23.454545454545453,"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":1265,"base":4},"right_expr":{"type":"numeric_atoms","value":3469,"base":4}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"numeric_atoms","value":3038,"base":4},"right_expr":{"type":"numeric_atoms","value":2164,"base":4}}}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"unary","operator":"⊵⊁","unary_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":8217,"base":4},"right_expr":{"type":"numeric_atoms","value":1175,"base":4}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"⫲","unary_expr":{"type":"numeric_atoms","value":8444,"base":4}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":3814,"base":4},"right_expr":{"type":"numeric_atoms","value":2873,"base":4}}}}},"used_operators":["QvoQhV0rrE","4X4GscPmMf","jBncVCNhdl","Noe24qw2ks","J0M6qkBnIM","xD69zh8xqp","AvED76WdY7","YbVcJGFEVW","cTDWOvIxvz","9xnGDUPbC6","FyVja0WsTP"],"dependent_operators":["eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","9bazX3JMtO","nhYeJWJD5X","DbCuESL50I","3EYGwJThht","w2P8NbNXyL","uFcxV4UQCh","bJkvcejdHO","BUOGQAYlQx","cTDWOvIxvz","hrf7POJlIJ","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","FU0Cs4j7VP","JclMnS0uGI","uBihLCJcMX","k8jYdgA6NY","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf"],"result":"⪩⨒∯-122013022","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":4},{"info":"number node, value=3469","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=3469, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2530","layer":3},{"info":"number node, value=3038","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=2164, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=3038","layer":3},{"info":"compute binary expreesion, left_input=-2530, right_input=3038, 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 = 4X4GscPmMf, unary_op_definition = 'a⨕⋳ = { ((⋼∭⪍(a∴a))⊉↱≁(⋂(a↹⊜60))) , if (a∝72)!=68 ; (((a≎⊠⪸503)⇄(a∇⊂⋱a))⪛a) , else }', output=-106954","layer":1},{"info":"number node, value=8217","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=8217, right_input=1175, 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=-32908","layer":3},{"info":"compute unary expreesion, input=-32908, op_id = AvED76WdY7, unary_op_definition = '⊵⊁a = { (a⇔⨋) , if a>58 ; (a%a) , else }', output=0","layer":2},{"info":"number node, value=8444","layer":4},{"info":"compute unary expreesion, input=8444, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=8171","layer":3},{"info":"number node, value=3814","layer":4},{"info":"number node, value=2873","layer":4},{"info":"compute binary expreesion, left_input=3814, right_input=2873, 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=8171, right_input=434, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=8176","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8176, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-106954, right_input=0, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=-106954","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯103301⨐⪩⨒∯312031⋭≵⪩⨒∯233132⋣⋖⪩⨒∯201310)⨕⋳)∠⫱(⊵⊁(⪩⨒∯2000121≃⪩⨒∯102113))⪪((⪩⨒∯2003330⫲)∝⪩⨒∯323212⊱⇼⊻⪩⨒∯230321)=⪩⨒∯-122013022","reverse_text":"⪩⨒∯-122013022=((⪩⨒∯103301⨐⪩⨒∯312031⋭≵⪩⨒∯233132⋣⋖⪩⨒∯201310)⨕⋳)∠⫱(⊵⊁(⪩⨒∯2000121≃⪩⨒∯102113))⪪((⪩⨒∯2003330⫲)∝⪩⨒∯323212⊱⇼⊻⪩⨒∯230321)","cot":[{"info":"⪩⨒∯103301⨐⪩⨒∯312031=⪩⨒∯-213202","layer":3},{"info":"⪩⨒∯233132⋣⋖⪩⨒∯201310=⪩⨒∯233132","layer":3},{"info":"⪩⨒∯-213202⋭≵⪩⨒∯233132=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯1003⨕⋳=⪩⨒∯-122013022","layer":1},{"info":"⪩⨒∯2000121≃⪩⨒∯102113=⪩⨒∯-20002030","layer":3},{"info":"⊵⊁⪩⨒∯-20002030=⪩⨒∯0","layer":2},{"info":"⪩⨒∯2003330⫲=⪩⨒∯1333223","layer":3},{"info":"⪩⨒∯323212⊱⇼⊻⪩⨒∯230321=⪩⨒∯12302","layer":3},{"info":"⪩⨒∯1333223∝⪩⨒∯12302=⪩⨒∯1333300","layer":2},{"info":"⪩⨒∯0⪪⪩⨒∯1333300=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-122013022∠⫱⪩⨒∯0=⪩⨒∯-122013022","layer":0}]}
{"id":837,"expression_no_base_symbol":"(↞≼($3012$⪉⨛$1112$))⨑≵⋬($2167$+⇶⊼$1719$)≚⊃≕($2657$⊚⫡⫭)⊉≛↸($1176$∛$4397$⪡($1120$≬⇓$1934$))⨽∌((↪⫪⫘$3005$)⪢($4425$⨴∎))","expression":"(↞≼(⪩⨒∯233010⪉⨛⪩⨒∯101120))⨑≵⋬(⪩⨒∯201313+⇶⊼⪩⨒∯122313)≚⊃≕(⪩⨒∯221201⊚⫡⫭)⊉≛↸(⪩⨒∯102120∛⪩⨒∯1010231⪡(⪩⨒∯101200≬⇓⪩⨒∯132032))⨽∌((↪⫪⫘⪩⨒∯232331)⪢(⪩⨒∯1011021⨴∎))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":4881,"operation_count":14,"complexity_ratio":348.64285714285717,"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":3012,"base":4},"right_expr":{"type":"numeric_atoms","value":1112,"base":4}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2167,"base":4},"right_expr":{"type":"numeric_atoms","value":1719,"base":4}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":2657,"base":4}}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1176,"base":4},"right_expr":{"type":"numeric_atoms","value":4397,"base":4}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"numeric_atoms","value":1120,"base":4},"right_expr":{"type":"numeric_atoms","value":1934,"base":4}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":3005,"base":4}},"right_expr":{"type":"unary","operator":"⨴∎","unary_expr":{"type":"numeric_atoms","value":4425,"base":4}}}}},"used_operators":["DZ8iAZOCBD","XnXgA4xnOs","DE7zCoGJt9","EWw2JM7wp4","Bmrmz2XGnR","TpPTUOHfaN","SpZWOsLKZJ","9samAPKr6k","oraRL2iQuh","w2537kitQq","jWTQ2TZYIH","dWAJyo7jo9","9dWsAM3GFt","CpSg5vQTgA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","AHs5Up7iyr","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","k8jYdgA6NY","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z","Q3PJZHRvZv","s1XTVnmDOJ","VEQNXA0ZBg"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3012","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=1112, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=8139","layer":3},{"info":"compute unary expreesion, input=8139, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=64698","layer":2},{"info":"number node, value=2167","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=1719, 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=2657","layer":4},{"info":"compute unary expreesion, input=2657, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-4388","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4388, 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":2},{"info":"compute binary expreesion, left_input=64698, right_input=nan, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=nan","layer":1},{"info":"number node, value=1176","layer":4},{"info":"number node, value=4397","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=4397, 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=1120","layer":4},{"info":"number node, value=1934","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=1934, 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=-670, right_input=-22, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=2308","layer":2},{"info":"number node, value=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"number node, value=4425","layer":4},{"info":"compute unary expreesion, input=4425, 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=20, 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":"compute binary expreesion, left_input=2308, 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 = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↞≼(⪩⨒∯233010⪉⨛⪩⨒∯101120))⨑≵⋬(⪩⨒∯201313+⇶⊼⪩⨒∯122313)≚⊃≕(⪩⨒∯221201⊚⫡⫭)⊉≛↸(⪩⨒∯102120∛⪩⨒∯1010231⪡(⪩⨒∯101200≬⇓⪩⨒∯132032))⨽∌((↪⫪⫘⪩⨒∯232331)⪢(⪩⨒∯1011021⨴∎))=NaN","reverse_text":"NaN=(↞≼(⪩⨒∯233010⪉⨛⪩⨒∯101120))⨑≵⋬(⪩⨒∯201313+⇶⊼⪩⨒∯122313)≚⊃≕(⪩⨒∯221201⊚⫡⫭)⊉≛↸(⪩⨒∯102120∛⪩⨒∯1010231⪡(⪩⨒∯101200≬⇓⪩⨒∯132032))⨽∌((↪⫪⫘⪩⨒∯232331)⪢(⪩⨒∯1011021⨴∎))","cot":[{"info":"⪩⨒∯233010⪉⨛⪩⨒∯101120=⪩⨒∯1333023","layer":3},{"info":"↞≼⪩⨒∯1333023=⪩⨒∯33302322","layer":2},{"info":"⪩⨒∯201313+⇶⊼⪩⨒∯122313=NaN","layer":3},{"info":"⪩⨒∯221201⊚⫡⫭=⪩⨒∯-1010210","layer":3},{"info":"NaN≚⊃≕⪩⨒∯-1010210=NaN","layer":2},{"info":"⪩⨒∯33302322⨑≵⋬NaN=NaN","layer":1},{"info":"⪩⨒∯102120∛⪩⨒∯1010231=⪩⨒∯-22132","layer":3},{"info":"⪩⨒∯101200≬⇓⪩⨒∯132032=⪩⨒∯-112","layer":3},{"info":"⪩⨒∯-22132⪡⪩⨒∯-112=⪩⨒∯210010","layer":2},{"info":"↪⫪⫘⪩⨒∯232331=⪩⨒∯110","layer":3},{"info":"⪩⨒∯1011021⨴∎=NaN","layer":3},{"info":"⪩⨒∯110⪢NaN=NaN","layer":2},{"info":"⪩⨒∯210010⨽∌NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"($5443$≎⊠⪸$1481$↙(⇈$1509$)*($1434$≠≀$7174$)⫁($3250$⨳⩥⨓$1344$))∇⊂⋱($7947$⋝⋈⪟$7418$⫰⋱$1209$⊨$3103$⫥∨⫟($2711$⊨$1127$)⩦$1182$↞⋁$3912$)","expression":"(⪩⨒∯1111003≎⊠⪸⪩⨒∯113021↙(⇈⪩⨒∯113211)*(⪩⨒∯112122≠≀⪩⨒∯1300012)⫁(⪩⨒∯302302⨳⩥⨓⪩⨒∯111000))∇⊂⋱(⪩⨒∯1330023⋝⋈⪟⪩⨒∯1303322⫰⋱⪩⨒∯102321⊨⪩⨒∯300133⫥∨⫟(⪩⨒∯222113⊨⪩⨒∯101213)⩦⪩⨒∯102132↞⋁⪩⨒∯331020)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8090,"operation_count":15,"complexity_ratio":539.3333333333334,"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":5443,"base":4},"right_expr":{"type":"numeric_atoms","value":1481,"base":4}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":1509,"base":4}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1434,"base":4},"right_expr":{"type":"numeric_atoms","value":7174,"base":4}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3250,"base":4},"right_expr":{"type":"numeric_atoms","value":1344,"base":4}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7947,"base":4},"right_expr":{"type":"numeric_atoms","value":7418,"base":4}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":1209,"base":4},"right_expr":{"type":"numeric_atoms","value":3103,"base":4}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"numeric_atoms","value":2711,"base":4},"right_expr":{"type":"numeric_atoms","value":1127,"base":4}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1182,"base":4},"right_expr":{"type":"numeric_atoms","value":3912,"base":4}}}}},"used_operators":["nhYeJWJD5X","9HNa5Wba9A","yyfyN0ffXY","bJkvcejdHO","SLLxy00UIr","0ajvFaJAv0","IwW236VD4Y","nCS4ZIUYfx","KYD54nUTWz","6o9Blt3TJ6","2DDjHMKMc0","vg4gO5BX6G","0kmYd0q39Y","RqrPlJkxDo"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","cHh1gJQ2o6","AHs5Up7iyr","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5443","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=5443, right_input=1481, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1409264","layer":3},{"info":"number node, value=1509","layer":4},{"info":"compute unary expreesion, input=1509, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=1409264, right_input=-447, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1341","layer":2},{"info":"number node, value=1434","layer":4},{"info":"number node, value=7174","layer":4},{"info":"compute binary expreesion, left_input=1434, right_input=7174, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2562","layer":3},{"info":"number node, value=3250","layer":4},{"info":"number node, value=1344","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=1344, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1906","layer":3},{"info":"compute binary expreesion, left_input=-2562, right_input=-1906, 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=-1341, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-214560","layer":1},{"info":"number node, value=7947","layer":4},{"info":"number node, value=7418","layer":4},{"info":"compute binary expreesion, left_input=7947, right_input=7418, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7947","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=3103","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=3103, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=5867","layer":3},{"info":"compute binary expreesion, left_input=7947, right_input=5867, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-7914","layer":2},{"info":"number node, value=2711","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=2711, right_input=1127, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=11875","layer":3},{"info":"number node, value=1182","layer":4},{"info":"number node, value=3912","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=3912, 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=11875, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=23750","layer":2},{"info":"compute binary expreesion, left_input=-7914, right_input=23750, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-214560, right_input=nan, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1111003≎⊠⪸⪩⨒∯113021↙(⇈⪩⨒∯113211)*(⪩⨒∯112122≠≀⪩⨒∯1300012)⫁(⪩⨒∯302302⨳⩥⨓⪩⨒∯111000))∇⊂⋱(⪩⨒∯1330023⋝⋈⪟⪩⨒∯1303322⫰⋱⪩⨒∯102321⊨⪩⨒∯300133⫥∨⫟(⪩⨒∯222113⊨⪩⨒∯101213)⩦⪩⨒∯102132↞⋁⪩⨒∯331020)=NaN","reverse_text":"NaN=(⪩⨒∯1111003≎⊠⪸⪩⨒∯113021↙(⇈⪩⨒∯113211)*(⪩⨒∯112122≠≀⪩⨒∯1300012)⫁(⪩⨒∯302302⨳⩥⨓⪩⨒∯111000))∇⊂⋱(⪩⨒∯1330023⋝⋈⪟⪩⨒∯1303322⫰⋱⪩⨒∯102321⊨⪩⨒∯300133⫥∨⫟(⪩⨒∯222113⊨⪩⨒∯101213)⩦⪩⨒∯102132↞⋁⪩⨒∯331020)","cot":[{"info":"⪩⨒∯1111003≎⊠⪸⪩⨒∯113021=⪩⨒∯11120003300","layer":3},{"info":"⇈⪩⨒∯113211=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯11120003300↙⪩⨒∯-12333=⪩⨒∯-110331","layer":2},{"info":"⪩⨒∯112122≠≀⪩⨒∯1300012=⪩⨒∯-220002","layer":3},{"info":"⪩⨒∯302302⨳⩥⨓⪩⨒∯111000=⪩⨒∯-131302","layer":3},{"info":"⪩⨒∯-220002⫁⪩⨒∯-131302=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯-110331*⪩⨒∯2200=⪩⨒∯-310120200","layer":1},{"info":"⪩⨒∯1330023⋝⋈⪟⪩⨒∯1303322=⪩⨒∯1330023","layer":3},{"info":"⪩⨒∯102321⊨⪩⨒∯300133=⪩⨒∯1123223","layer":3},{"info":"⪩⨒∯1330023⫰⋱⪩⨒∯1123223=⪩⨒∯-1323222","layer":2},{"info":"⪩⨒∯222113⊨⪩⨒∯101213=⪩⨒∯2321203","layer":3},{"info":"⪩⨒∯102132↞⋁⪩⨒∯331020=NaN","layer":3},{"info":"⪩⨒∯2321203⩦NaN=⪩⨒∯11303012","layer":2},{"info":"⪩⨒∯-1323222⫥∨⫟⪩⨒∯11303012=NaN","layer":1},{"info":"⪩⨒∯-310120200∇⊂⋱NaN=NaN","layer":0}]}
{"id":839,"expression_no_base_symbol":"(($1020$⇼⇔∾$5208$⫳≱↱$1372$⊋$2513$)⇴∐($1398$⩣⫁∢$6046$)⨽∌($7718$⇣⩺⋵$1703$))⩌⋺(($5461$⪪$2213$)⨜⨶($1706$/$1332$)⪕($2017$⇣⩺⋵$2209$⨰($1234$⪭≯$3563$)))","expression":"((⪩⨒∯33330⇼⇔∾⪩⨒∯1101120⫳≱↱⪩⨒∯111130⊋⪩⨒∯213101)⇴∐(⪩⨒∯111312⩣⫁∢⪩⨒∯1132132)⨽∌(⪩⨒∯1320212⇣⩺⋵⪩⨒∯122213))⩌⋺((⪩⨒∯1111111⪪⪩⨒∯202211)⨜⨶(⪩⨒∯122222/⪩⨒∯110310)⪕(⪩⨒∯133201⇣⩺⋵⪩⨒∯202201⨰(⪩⨒∯103102⪭≯⪩⨒∯313223)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":19517,"operation_count":15,"complexity_ratio":1301.1333333333334,"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":1020,"base":4},"right_expr":{"type":"numeric_atoms","value":5208,"base":4}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1372,"base":4},"right_expr":{"type":"numeric_atoms","value":2513,"base":4}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1398,"base":4},"right_expr":{"type":"numeric_atoms","value":6046,"base":4}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":7718,"base":4},"right_expr":{"type":"numeric_atoms","value":1703,"base":4}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":5461,"base":4},"right_expr":{"type":"numeric_atoms","value":2213,"base":4}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1706,"base":4},"right_expr":{"type":"numeric_atoms","value":1332,"base":4}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":2017,"base":4},"right_expr":{"type":"numeric_atoms","value":2209,"base":4}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1234,"base":4},"right_expr":{"type":"numeric_atoms","value":3563,"base":4}}}}},"used_operators":["g7Hmc5v1ko","HnzytWxmAO","ZvLB05nZmT","tifHPKVTfV","W4tP9CfskL","9samAPKr6k","JDUIKTTSIa","F4yD0voBRQ","umQnsF7QlU","HiPekx5b7W","xD69zh8xqp","XhwjNDsVaA","eewbuw0ToL","XAx5wpdLa6"],"dependent_operators":["9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"⪩⨒∯-1121030","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=5208","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=5208, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4188","layer":3},{"info":"number node, value=1372","layer":4},{"info":"number node, value=2513","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=2513, 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=-21444920","layer":3},{"info":"compute binary expreesion, left_input=4188, right_input=-21444920, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":2},{"info":"number node, value=1398","layer":4},{"info":"number node, value=6046","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=6046, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-2635","layer":3},{"info":"number node, value=7718","layer":4},{"info":"number node, value=1703","layer":4},{"info":"compute binary expreesion, left_input=7718, right_input=1703, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"compute binary expreesion, left_input=-2635, right_input=-260, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-204, right_input=0, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=4652","layer":1},{"info":"number node, value=5461","layer":4},{"info":"number node, value=2213","layer":4},{"info":"compute binary expreesion, left_input=5461, right_input=2213, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-820700","layer":3},{"info":"number node, value=1706","layer":4},{"info":"number node, value=1332","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=1332, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-820700, 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=-8206211","layer":2},{"info":"number node, value=2017","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=2209, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":3},{"info":"number node, value=1234","layer":4},{"info":"number node, value=3563","layer":4},{"info":"compute binary expreesion, left_input=1234, right_input=3563, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-260, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8206211, right_input=nan, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":1},{"info":"compute binary expreesion, left_input=4652, right_input=935, 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=-5708","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯33330⇼⇔∾⪩⨒∯1101120⫳≱↱⪩⨒∯111130⊋⪩⨒∯213101)⇴∐(⪩⨒∯111312⩣⫁∢⪩⨒∯1132132)⨽∌(⪩⨒∯1320212⇣⩺⋵⪩⨒∯122213))⩌⋺((⪩⨒∯1111111⪪⪩⨒∯202211)⨜⨶(⪩⨒∯122222/⪩⨒∯110310)⪕(⪩⨒∯133201⇣⩺⋵⪩⨒∯202201⨰(⪩⨒∯103102⪭≯⪩⨒∯313223)))=⪩⨒∯-1121030","reverse_text":"⪩⨒∯-1121030=((⪩⨒∯33330⇼⇔∾⪩⨒∯1101120⫳≱↱⪩⨒∯111130⊋⪩⨒∯213101)⇴∐(⪩⨒∯111312⩣⫁∢⪩⨒∯1132132)⨽∌(⪩⨒∯1320212⇣⩺⋵⪩⨒∯122213))⩌⋺((⪩⨒∯1111111⪪⪩⨒∯202211)⨜⨶(⪩⨒∯122222/⪩⨒∯110310)⪕(⪩⨒∯133201⇣⩺⋵⪩⨒∯202201⨰(⪩⨒∯103102⪭≯⪩⨒∯313223)))","cot":[{"info":"⪩⨒∯33330⇼⇔∾⪩⨒∯1101120=⪩⨒∯1001130","layer":3},{"info":"⪩⨒∯111130⊋⪩⨒∯213101=⪩⨒∯-1101303210320","layer":3},{"info":"⪩⨒∯1001130⫳≱↱⪩⨒∯-1101303210320=⪩⨒∯-3030","layer":2},{"info":"⪩⨒∯111312⩣⫁∢⪩⨒∯1132132=⪩⨒∯-221023","layer":3},{"info":"⪩⨒∯1320212⇣⩺⋵⪩⨒∯122213=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯-221023⨽∌⪩⨒∯-10010=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-3030⇴∐⪩⨒∯0=⪩⨒∯1020230","layer":1},{"info":"⪩⨒∯1111111⪪⪩⨒∯202211=⪩⨒∯-3020113130","layer":3},{"info":"⪩⨒∯122222/⪩⨒∯110310=⪩⨒∯1","layer":3},{"info":"⪩⨒∯-3020113130⨜⨶⪩⨒∯1=⪩⨒∯-133103132003","layer":2},{"info":"⪩⨒∯133201⇣⩺⋵⪩⨒∯202201=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯103102⪭≯⪩⨒∯313223=NaN","layer":3},{"info":"⪩⨒∯-10010⨰NaN=NaN","layer":2},{"info":"⪩⨒∯-133103132003⪕NaN=⪩⨒∯32213","layer":1},{"info":"⪩⨒∯1020230⩌⋺⪩⨒∯32213=⪩⨒∯-1121030","layer":0}]}
{"id":840,"expression_no_base_symbol":"(($2194$∺≝⩲$2298$-$8500$⫔⩽⩺$1283$)↙($3067$↸$3114$)⩼⇪↪($6207$≨$5334$))⪃↞⩐","expression":"((⪩⨒∯202102∺≝⩲⪩⨒∯203322-⪩⨒∯2010310⫔⩽⩺⪩⨒∯110003)↙(⪩⨒∯233323↸⪩⨒∯300222)⩼⇪↪(⪩⨒∯1200333≨⪩⨒∯1103112))⪃↞⩐","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3214,"operation_count":8,"complexity_ratio":401.75,"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":2194,"base":4},"right_expr":{"type":"numeric_atoms","value":2298,"base":4}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"numeric_atoms","value":8500,"base":4},"right_expr":{"type":"numeric_atoms","value":1283,"base":4}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":3067,"base":4},"right_expr":{"type":"numeric_atoms","value":3114,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":6207,"base":4},"right_expr":{"type":"numeric_atoms","value":5334,"base":4}}}}},"used_operators":["grXIztHqDa","yyfyN0ffXY","rysDP5nf3Z","KPf6cnQVty","i9eR4S00cU","ocnLzx9CaJ","1eCjFl0mb9","0KMCeP1Jsh"],"dependent_operators":["IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","tmPS8pqC7x","DpFCA1CohY","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","Tw270M8GLb","fu6greOZ01","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2194","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=2298, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":3},{"info":"number node, value=8500","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=8500, right_input=1283, 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 = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3067","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=3067, right_input=3114, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3067","layer":3},{"info":"number node, value=6207","layer":4},{"info":"number node, value=5334","layer":4},{"info":"compute binary expreesion, left_input=6207, right_input=5334, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-59594","layer":3},{"info":"compute binary expreesion, left_input=3067, right_input=-59594, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=422509","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=422509, 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 = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯202102∺≝⩲⪩⨒∯203322-⪩⨒∯2010310⫔⩽⩺⪩⨒∯110003)↙(⪩⨒∯233323↸⪩⨒∯300222)⩼⇪↪(⪩⨒∯1200333≨⪩⨒∯1103112))⪃↞⩐=NaN","reverse_text":"NaN=((⪩⨒∯202102∺≝⩲⪩⨒∯203322-⪩⨒∯2010310⫔⩽⩺⪩⨒∯110003)↙(⪩⨒∯233323↸⪩⨒∯300222)⩼⇪↪(⪩⨒∯1200333≨⪩⨒∯1103112))⪃↞⩐","cot":[{"info":"⪩⨒∯202102∺≝⩲⪩⨒∯203322=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2010310⫔⩽⩺⪩⨒∯110003=NaN","layer":3},{"info":"⪩⨒∯2200-NaN=NaN","layer":2},{"info":"⪩⨒∯233323↸⪩⨒∯300222=⪩⨒∯233323","layer":3},{"info":"⪩⨒∯1200333≨⪩⨒∯1103112=⪩⨒∯-32203022","layer":3},{"info":"⪩⨒∯233323⩼⇪↪⪩⨒∯-32203022=⪩⨒∯1213021231","layer":2},{"info":"NaN↙⪩⨒∯1213021231=NaN","layer":1},{"info":"NaN⪃↞⩐=NaN","layer":0}]}
{"id":841,"expression_no_base_symbol":"(($2032$⪒$2206$⪁$7157$∌$1356$)⩚⊴⇥($3392$∑⇟⊟$6600$≬⇓($1904$-$6284$)))↞⋁(($5336$∽$2849$)⩵∡$2882$⪃⊛⇣$1000$-(⨮↦↱(≸≮$3130$)))","expression":"((⪩⨒∯133300⪒⪩⨒∯202132⪁⪩⨒∯1233311∌⪩⨒∯111030)⩚⊴⇥(⪩⨒∯311000∑⇟⊟⪩⨒∯1213020≬⇓(⪩⨒∯131300-⪩⨒∯1202030)))↞⋁((⪩⨒∯1103120∽⪩⨒∯230201)⩵∡⪩⨒∯231002⪃⊛⇣⪩⨒∯33220-(⨮↦↱(≸≮⪩⨒∯300322)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":26102995,"operation_count":14,"complexity_ratio":1864499.642857143,"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":2032,"base":4},"right_expr":{"type":"numeric_atoms","value":2206,"base":4}},"right_expr":{"type":"binary","operator":"∌","left_expr":{"type":"numeric_atoms","value":7157,"base":4},"right_expr":{"type":"numeric_atoms","value":1356,"base":4}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3392,"base":4},"right_expr":{"type":"numeric_atoms","value":6600,"base":4}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1904,"base":4},"right_expr":{"type":"numeric_atoms","value":6284,"base":4}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":5336,"base":4},"right_expr":{"type":"numeric_atoms","value":2849,"base":4}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":2882,"base":4},"right_expr":{"type":"numeric_atoms","value":1000,"base":4}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3130,"base":4}}}}},"used_operators":["RqrPlJkxDo","NTOWxs364D","I7sXao9hZE","f6k1SAg4EE","8cLx32lpNA","jWTQ2TZYIH","U7g4x0WXJJ","rysDP5nf3Z","Y7wcNGrDQJ","y4ImoPnbV5","rrgAzCduG9","sYcpBQ0cFf","AljMvE3RRm"],"dependent_operators":["Uaa54Peajs","CArV6hThFE","13rbtpv6ld","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","NTOWxs364D","glklzrTFfD","tifHPKVTfV","NTOWxs364D","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2032","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=2206, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4238","layer":3},{"info":"number node, value=7157","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=7157, right_input=1356, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-1356","layer":3},{"info":"compute binary expreesion, left_input=-4238, right_input=-1356, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=3392","layer":4},{"info":"number node, value=6600","layer":4},{"info":"compute binary expreesion, left_input=3392, right_input=6600, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1904","layer":4},{"info":"number node, value=6284","layer":4},{"info":"compute binary expreesion, left_input=1904, right_input=6284, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4380","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4380, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', 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=5336","layer":4},{"info":"number node, value=2849","layer":4},{"info":"compute binary expreesion, left_input=5336, right_input=2849, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-35049","layer":3},{"info":"number node, value=2882","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=1000, 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=-35049, right_input=1234, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=106260","layer":2},{"info":"number node, value=3130","layer":4},{"info":"compute unary expreesion, input=3130, 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 = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=106260, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯133300⪒⪩⨒∯202132⪁⪩⨒∯1233311∌⪩⨒∯111030)⩚⊴⇥(⪩⨒∯311000∑⇟⊟⪩⨒∯1213020≬⇓(⪩⨒∯131300-⪩⨒∯1202030)))↞⋁((⪩⨒∯1103120∽⪩⨒∯230201)⩵∡⪩⨒∯231002⪃⊛⇣⪩⨒∯33220-(⨮↦↱(≸≮⪩⨒∯300322)))=NaN","reverse_text":"NaN=((⪩⨒∯133300⪒⪩⨒∯202132⪁⪩⨒∯1233311∌⪩⨒∯111030)⩚⊴⇥(⪩⨒∯311000∑⇟⊟⪩⨒∯1213020≬⇓(⪩⨒∯131300-⪩⨒∯1202030)))↞⋁((⪩⨒∯1103120∽⪩⨒∯230201)⩵∡⪩⨒∯231002⪃⊛⇣⪩⨒∯33220-(⨮↦↱(≸≮⪩⨒∯300322)))","cot":[{"info":"⪩⨒∯133300⪒⪩⨒∯202132=⪩⨒∯-1002032","layer":3},{"info":"⪩⨒∯1233311∌⪩⨒∯111030=⪩⨒∯-111030","layer":3},{"info":"⪩⨒∯-1002032⪁⪩⨒∯-111030=NaN","layer":2},{"info":"⪩⨒∯311000∑⇟⊟⪩⨒∯1213020=NaN","layer":3},{"info":"⪩⨒∯131300-⪩⨒∯1202030=⪩⨒∯-1010130","layer":3},{"info":"NaN≬⇓⪩⨒∯-1010130=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"⪩⨒∯1103120∽⪩⨒∯230201=⪩⨒∯-20203221","layer":3},{"info":"⪩⨒∯231002⪃⊛⇣⪩⨒∯33220=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-20203221⩵∡⪩⨒∯103102=⪩⨒∯121330110","layer":2},{"info":"≸≮⪩⨒∯300322=NaN","layer":3},{"info":"⨮↦↱NaN=NaN","layer":2},{"info":"⪩⨒∯121330110-NaN=NaN","layer":1},{"info":"NaN↞⋁NaN=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"($2503$⪡$1207$⨒$1328$↓$6101$)⫣⪄⊒(($2107$⊭∹↮)≃⋄)⋖∅⋲","expression":"(⪩⨒∯213013⪡⪩⨒∯102313⨒⪩⨒∯110300↓⪩⨒∯1133111)⫣⪄⊒((⪩⨒∯200323⊭∹↮)≃⋄)⋖∅⋲","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":85980,"operation_count":7,"complexity_ratio":12282.857142857143,"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":2503,"base":4},"right_expr":{"type":"numeric_atoms","value":1207,"base":4}},"right_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1328,"base":4},"right_expr":{"type":"numeric_atoms","value":6101,"base":4}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2107,"base":4}}}}},"used_operators":["L95AwlJzhO","RabNbG55vr","y75s1iXyHd","oraRL2iQuh","Af076pWI7l","aN9a90urxU","xNBdhnnwKq"],"dependent_operators":["gx7XJ7hdpj","3nqY3DE9mg","XTarYq4gQB","y4ImoPnbV5","i8ToyICDmI","xNBdhnnwKq","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","uFcxV4UQCh","jLgFTUHLKL","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"⪩⨒∯-1131303213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2503","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=2503, 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=1328","layer":4},{"info":"number node, value=6101","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=6101, 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=107, right_input=-134, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=0","layer":2},{"info":"number node, value=2107","layer":4},{"info":"compute unary expreesion, input=2107, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4214","layer":3},{"info":"compute unary expreesion, input=4214, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=764, 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 = L95AwlJzhO, unary_op_definition = 'a⋖∅⋲ = { ((⪝⪂⫅431)⊍) , if (a∲⫓500)>7 ; ((a∽304)⫸⇳(a⊭∹↮)) , else }', output=-384231","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯213013⪡⪩⨒∯102313⨒⪩⨒∯110300↓⪩⨒∯1133111)⫣⪄⊒((⪩⨒∯200323⊭∹↮)≃⋄)⋖∅⋲=⪩⨒∯-1131303213","reverse_text":"⪩⨒∯-1131303213=(⪩⨒∯213013⪡⪩⨒∯102313⨒⪩⨒∯110300↓⪩⨒∯1133111)⫣⪄⊒((⪩⨒∯200323⊭∹↮)≃⋄)⋖∅⋲","cot":[{"info":"⪩⨒∯213013⪡⪩⨒∯102313=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯110300↓⪩⨒∯1133111=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯1223⨒⪩⨒∯-2012=⪩⨒∯0","layer":2},{"info":"⪩⨒∯200323⊭∹↮=⪩⨒∯1001312","layer":3},{"info":"⪩⨒∯1001312≃⋄=⪩⨒∯23330","layer":2},{"info":"⪩⨒∯0⫣⪄⊒⪩⨒∯23330=⪩⨒∯2200","layer":1},{"info":"⪩⨒∯2200⋖∅⋲=⪩⨒∯-1131303213","layer":0}]}
{"id":843,"expression_no_base_symbol":"((⇤←$1934$)⨰$1482$⨥⫆$1403$)⩼⇪↪(⊊≼∋(∤$2936$))⫲","expression":"((⇤←⪩⨒∯132032)⨰⪩⨒∯113022⨥⫆⪩⨒∯111323)⩼⇪↪(⊊≼∋(∤⪩⨒∯231320))⫲","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":151,"operation_count":7,"complexity_ratio":21.571428571428573,"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":1934,"base":4}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":1482,"base":4},"right_expr":{"type":"numeric_atoms","value":1403,"base":4}}},"right_expr":{"type":"unary","operator":"⊊≼∋","unary_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"numeric_atoms","value":2936,"base":4}}}}},"used_operators":["9xnGDUPbC6","ocnLzx9CaJ","eewbuw0ToL","jfAgQ2OQeM","yXekIHxTD4","FWz7pXsQhA","k2HlF1dBQh"],"dependent_operators":["NTOWxs364D","Qy55tPpLXF","DZ8iAZOCBD","8w2t5hMYqp","2DDjHMKMc0","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","B5M0gjZbta","jCPkEVoL5K","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp"],"result":"⪩⨒∯23010211","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1934","layer":4},{"info":"compute unary expreesion, input=1934, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-8304","layer":3},{"info":"number node, value=1482","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=1403, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=2682","layer":3},{"info":"compute binary expreesion, left_input=-8304, right_input=2682, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-10976","layer":2},{"info":"number node, value=2936","layer":4},{"info":"compute unary expreesion, input=2936, op_id = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":3},{"info":"compute unary expreesion, input=9, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-10976, right_input=0, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-22735","layer":1},{"info":"compute unary expreesion, input=-22735, op_id = 9xnGDUPbC6, unary_op_definition = 'a⫲ = { ((272⩚⊴⇥36)⊉≛↸(⨑⩽⪐a)) , if (⊄⩳↩a)<13 ; ((a⩚⊴⇥a)⋝⋈⪟(533⋥≓≎a)) , else }', output=45349","layer":0}],"base":4,"result_base":4,"text":"((⇤←⪩⨒∯132032)⨰⪩⨒∯113022⨥⫆⪩⨒∯111323)⩼⇪↪(⊊≼∋(∤⪩⨒∯231320))⫲=⪩⨒∯23010211","reverse_text":"⪩⨒∯23010211=((⇤←⪩⨒∯132032)⨰⪩⨒∯113022⨥⫆⪩⨒∯111323)⩼⇪↪(⊊≼∋(∤⪩⨒∯231320))⫲","cot":[{"info":"⇤←⪩⨒∯132032=⪩⨒∯-2001300","layer":3},{"info":"⪩⨒∯113022⨥⫆⪩⨒∯111323=⪩⨒∯221322","layer":3},{"info":"⪩⨒∯-2001300⨰⪩⨒∯221322=⪩⨒∯-2223200","layer":2},{"info":"∤⪩⨒∯231320=⪩⨒∯21","layer":3},{"info":"⊊≼∋⪩⨒∯21=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-2223200⩼⇪↪⪩⨒∯0=⪩⨒∯-11203033","layer":1},{"info":"⪩⨒∯-11203033⫲=⪩⨒∯23010211","layer":0}]}
{"id":844,"expression_no_base_symbol":"(($1011$⫁$5710$)⇉⇱⇎)∣((⩦⩻⨪$3442$)⫰⋱$1790$⪔⊥$2696$)⋅⇍(-(⪭⩑⪱($1661$⩨$3753$)))","expression":"((⪩⨒∯33303⫁⪩⨒∯1121032)⇉⇱⇎)∣((⩦⩻⨪⪩⨒∯311302)⫰⋱⪩⨒∯123332⪔⊥⪩⨒∯222020)⋅⇍(-(⪭⩑⪱(⪩⨒∯121331⩨⪩⨒∯322221)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6651,"operation_count":10,"complexity_ratio":665.1,"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":1011,"base":4},"right_expr":{"type":"numeric_atoms","value":5710,"base":4}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3442,"base":4}},"right_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":1790,"base":4},"right_expr":{"type":"numeric_atoms","value":2696,"base":4}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1661,"base":4},"right_expr":{"type":"numeric_atoms","value":3753,"base":4}}}}},"used_operators":["AdZkA7nFnk","PPChnnnBFF","MRPaB8lBjK","0ajvFaJAv0","6o9Blt3TJ6","2td37pGCOC","HJ9erzHUuu","t8gj7n24qd","SIgE0bArFf","2DlMacCsIx"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","cHh1gJQ2o6","AHs5Up7iyr","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪩⨒∯-121200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=5710","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=5710, 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 = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-102","layer":2},{"info":"number node, value=3442","layer":4},{"info":"compute unary expreesion, input=3442, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3442","layer":3},{"info":"number node, value=1790","layer":4},{"info":"number node, value=2696","layer":4},{"info":"compute binary expreesion, left_input=1790, right_input=2696, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=1569","layer":3},{"info":"compute binary expreesion, left_input=3442, right_input=1569, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-3409","layer":2},{"info":"compute binary expreesion, left_input=-102, right_input=-3409, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1059","layer":1},{"info":"number node, value=1661","layer":4},{"info":"number node, value=3753","layer":4},{"info":"compute binary expreesion, left_input=1661, right_input=3753, 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 = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":2},{"info":"compute unary expreesion, input=8320752, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8320752","layer":1},{"info":"compute binary expreesion, left_input=1059, right_input=-8320752, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-1632","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯33303⫁⪩⨒∯1121032)⇉⇱⇎)∣((⩦⩻⨪⪩⨒∯311302)⫰⋱⪩⨒∯123332⪔⊥⪩⨒∯222020)⋅⇍(-(⪭⩑⪱(⪩⨒∯121331⩨⪩⨒∯322221)))=⪩⨒∯-121200","reverse_text":"⪩⨒∯-121200=((⪩⨒∯33303⫁⪩⨒∯1121032)⇉⇱⇎)∣((⩦⩻⨪⪩⨒∯311302)⫰⋱⪩⨒∯123332⪔⊥⪩⨒∯222020)⋅⇍(-(⪭⩑⪱(⪩⨒∯121331⩨⪩⨒∯322221)))","cot":[{"info":"⪩⨒∯33303⫁⪩⨒∯1121032=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2200⇉⇱⇎=⪩⨒∯-1212","layer":2},{"info":"⩦⩻⨪⪩⨒∯311302=⪩⨒∯311302","layer":3},{"info":"⪩⨒∯123332⪔⊥⪩⨒∯222020=⪩⨒∯120201","layer":3},{"info":"⪩⨒∯311302⫰⋱⪩⨒∯120201=⪩⨒∯-311101","layer":2},{"info":"⪩⨒∯-1212∣⪩⨒∯-311101=⪩⨒∯100203","layer":1},{"info":"⪩⨒∯121331⩨⪩⨒∯322221=⪩⨒∯-12","layer":3},{"info":"⪭⩑⪱⪩⨒∯-12=⪩⨒∯133233123300","layer":2},{"info":"-⪩⨒∯133233123300=⪩⨒∯-133233123300","layer":1},{"info":"⪩⨒∯100203⋅⇍⪩⨒∯-133233123300=⪩⨒∯-121200","layer":0}]}
{"id":845,"expression_no_base_symbol":"⊤⊝(↸⊣(($1434$↓⨍⋜)↡⊰⫅$4464$∣$4235$))","expression":"⊤⊝(↸⊣((⪩⨒∯112122↓⨍⋜)↡⊰⫅⪩⨒∯1011300∣⪩⨒∯1002023))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":62791,"operation_count":5,"complexity_ratio":12558.2,"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":1434,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":4464,"base":4},"right_expr":{"type":"numeric_atoms","value":4235,"base":4}}}}},"used_operators":["rXAclfmB4M","wztAlM01eG","VCtxkLNOzz","3DVzLFNsE9","PPChnnnBFF"],"dependent_operators":["sdazOOVcIp","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI"],"result":"⪩⨒∯-10202110","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1434","layer":4},{"info":"compute unary expreesion, input=1434, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"number node, value=4464","layer":4},{"info":"number node, value=4235","layer":4},{"info":"compute binary expreesion, left_input=4464, right_input=4235, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=4464","layer":3},{"info":"compute binary expreesion, left_input=6590, right_input=4464, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=8928","layer":2},{"info":"compute unary expreesion, input=8928, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-8641","layer":1},{"info":"compute unary expreesion, input=-8641, op_id = rXAclfmB4M, unary_op_definition = '⊤⊝a = { (a⪨≂700) }', output=-18580","layer":0}],"base":4,"result_base":4,"text":"⊤⊝(↸⊣((⪩⨒∯112122↓⨍⋜)↡⊰⫅⪩⨒∯1011300∣⪩⨒∯1002023))=⪩⨒∯-10202110","reverse_text":"⪩⨒∯-10202110=⊤⊝(↸⊣((⪩⨒∯112122↓⨍⋜)↡⊰⫅⪩⨒∯1011300∣⪩⨒∯1002023))","cot":[{"info":"⪩⨒∯112122↓⨍⋜=⪩⨒∯1212332","layer":3},{"info":"⪩⨒∯1011300∣⪩⨒∯1002023=⪩⨒∯1011300","layer":3},{"info":"⪩⨒∯1212332↡⊰⫅⪩⨒∯1011300=⪩⨒∯2023200","layer":2},{"info":"↸⊣⪩⨒∯2023200=⪩⨒∯-2013001","layer":1},{"info":"⊤⊝⪩⨒∯-2013001=⪩⨒∯-10202110","layer":0}]}
{"id":846,"expression_no_base_symbol":"(($1021$⫸⇳$5244$)⪕($1028$∽$1074$)⫚↹⊑($1782$⪶≀⋏$7016$)↹⊜($1071$⫰⋱$1295$))∙∹∝(⋗⩬⋾$2124$⊹∫⫚$1721$)⇄($7274$∑⇟⊟$2508$⫌⩉⩟$4217$⩼⇪↪$1399$)","expression":"((⪩⨒∯33331⫸⇳⪩⨒∯1101330)⪕(⪩⨒∯100010∽⪩⨒∯100302)⫚↹⊑(⪩⨒∯123312⪶≀⋏⪩⨒∯1231220)↹⊜(⪩⨒∯100233⫰⋱⪩⨒∯110033))∙∹∝(⋗⩬⋾⪩⨒∯201030⊹∫⫚⪩⨒∯122321)⇄(⪩⨒∯1301222∑⇟⊟⪩⨒∯213030⫌⩉⩟⪩⨒∯1001321⩼⇪↪⪩⨒∯111313)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18565,"operation_count":14,"complexity_ratio":1326.0714285714287,"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":1021,"base":4},"right_expr":{"type":"numeric_atoms","value":5244,"base":4}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":1028,"base":4},"right_expr":{"type":"numeric_atoms","value":1074,"base":4}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":1782,"base":4},"right_expr":{"type":"numeric_atoms","value":7016,"base":4}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1071,"base":4},"right_expr":{"type":"numeric_atoms","value":1295,"base":4}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⊹∫⫚","left_expr":{"type":"numeric_atoms","value":2124,"base":4},"right_expr":{"type":"numeric_atoms","value":1721,"base":4}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7274,"base":4},"right_expr":{"type":"numeric_atoms","value":2508,"base":4}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":4217,"base":4},"right_expr":{"type":"numeric_atoms","value":1399,"base":4}}}}},"used_operators":["HmxsFra2vL","dfKe02y8D2","umQnsF7QlU","gx7XJ7hdpj","y4ImoPnbV5","9bazX3JMtO","zR4jO40bMj","6o9Blt3TJ6","3EYGwJThht","DpFCA1CohY","uWAJUKEvyW","XIIwhv8d0m","U7g4x0WXJJ","ocnLzx9CaJ"],"dependent_operators":["BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","NTOWxs364D","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1021","layer":4},{"info":"number node, value=5244","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=5244, 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=1028","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=1074, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-8184","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8184, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=935","layer":2},{"info":"number node, value=1782","layer":4},{"info":"number node, value=7016","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=7016, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-19610","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=1295","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1295, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1038","layer":3},{"info":"compute binary expreesion, left_input=-19610, right_input=-1038, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=8208","layer":2},{"info":"compute binary expreesion, left_input=935, right_input=8208, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":1},{"info":"number node, value=2124","layer":4},{"info":"number node, value=1721","layer":4},{"info":"compute binary expreesion, left_input=2124, right_input=1721, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-244","layer":3},{"info":"compute unary expreesion, input=-244, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=732","layer":2},{"info":"number node, value=7274","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=7274, right_input=2508, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4217","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=4217, right_input=1399, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-2142","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2142, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":2},{"info":"compute binary expreesion, left_input=732, right_input=-50, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-447, right_input=0, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯33331⫸⇳⪩⨒∯1101330)⪕(⪩⨒∯100010∽⪩⨒∯100302)⫚↹⊑(⪩⨒∯123312⪶≀⋏⪩⨒∯1231220)↹⊜(⪩⨒∯100233⫰⋱⪩⨒∯110033))∙∹∝(⋗⩬⋾⪩⨒∯201030⊹∫⫚⪩⨒∯122321)⇄(⪩⨒∯1301222∑⇟⊟⪩⨒∯213030⫌⩉⩟⪩⨒∯1001321⩼⇪↪⪩⨒∯111313)=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯33331⫸⇳⪩⨒∯1101330)⪕(⪩⨒∯100010∽⪩⨒∯100302)⫚↹⊑(⪩⨒∯123312⪶≀⋏⪩⨒∯1231220)↹⊜(⪩⨒∯100233⫰⋱⪩⨒∯110033))∙∹∝(⋗⩬⋾⪩⨒∯201030⊹∫⫚⪩⨒∯122321)⇄(⪩⨒∯1301222∑⇟⊟⪩⨒∯213030⫌⩉⩟⪩⨒∯1001321⩼⇪↪⪩⨒∯111313)","cot":[{"info":"⪩⨒∯33331⫸⇳⪩⨒∯1101330=⪩⨒∯0","layer":3},{"info":"⪩⨒∯100010∽⪩⨒∯100302=⪩⨒∯-1333320","layer":3},{"info":"⪩⨒∯0⪕⪩⨒∯-1333320=⪩⨒∯32213","layer":2},{"info":"⪩⨒∯123312⪶≀⋏⪩⨒∯1231220=⪩⨒∯-10302122","layer":3},{"info":"⪩⨒∯100233⫰⋱⪩⨒∯110033=⪩⨒∯-100032","layer":3},{"info":"⪩⨒∯-10302122↹⊜⪩⨒∯-100032=⪩⨒∯2000100","layer":2},{"info":"⪩⨒∯32213⫚↹⊑⪩⨒∯2000100=⪩⨒∯-12333","layer":1},{"info":"⪩⨒∯201030⊹∫⫚⪩⨒∯122321=⪩⨒∯-3310","layer":3},{"info":"⋗⩬⋾⪩⨒∯-3310=⪩⨒∯23130","layer":2},{"info":"⪩⨒∯1301222∑⇟⊟⪩⨒∯213030=NaN","layer":3},{"info":"⪩⨒∯1001321⩼⇪↪⪩⨒∯111313=⪩⨒∯-201132","layer":3},{"info":"NaN⫌⩉⩟⪩⨒∯-201132=⪩⨒∯-302","layer":2},{"info":"⪩⨒∯23130⇄⪩⨒∯-302=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-12333∙∹∝⪩⨒∯0=⪩⨒∯0","layer":0}]}
{"id":847,"expression_no_base_symbol":"(($2388$⨻⩈⩔$6550$⫦⪉$1150$⩧⪆$7001$)⋅⇍(≑⋹$5482$)⨭⪣($2648$⪁$5826$))+⪬∐(⪁⇼(($3821$≬⋮$2753$)⪗))","expression":"((⪩⨒∯211110⨻⩈⩔⪩⨒∯1212112⫦⪉⪩⨒∯101332⩧⪆⪩⨒∯1231121)⋅⇍(≑⋹⪩⨒∯1111222)⨭⪣(⪩⨒∯221120⪁⪩⨒∯1123002))+⪬∐(⪁⇼((⪩⨒∯323231≬⋮⪩⨒∯223001)⪗))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":341447696,"operation_count":11,"complexity_ratio":31040699.636363637,"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":2388,"base":4},"right_expr":{"type":"numeric_atoms","value":6550,"base":4}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":1150,"base":4},"right_expr":{"type":"numeric_atoms","value":7001,"base":4}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"numeric_atoms","value":5482,"base":4}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2648,"base":4},"right_expr":{"type":"numeric_atoms","value":5826,"base":4}}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"unary","operator":"⪗","unary_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3821,"base":4},"right_expr":{"type":"numeric_atoms","value":2753,"base":4}}}}},"used_operators":["2GS7woTJqF","AdZkA7nFnk","wscyQdcy20","nEsXyWgiOK","Ikt5ks8PT7","kn8WO9XteQ","6B9nyZLogK","I7sXao9hZE","ZNVVrZ94lY","VEQNXA0ZBg","kbkesczE7y"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","eewbuw0ToL","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","dWAJyo7jo9","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI"],"result":"⪩⨒∯1002","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2388","layer":4},{"info":"number node, value=6550","layer":4},{"info":"compute binary expreesion, left_input=2388, right_input=6550, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=10703","layer":3},{"info":"number node, value=1150","layer":4},{"info":"number node, value=7001","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=7001, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7001","layer":3},{"info":"compute binary expreesion, left_input=10703, right_input=-7001, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-16506","layer":2},{"info":"number node, value=5482","layer":4},{"info":"compute unary expreesion, input=5482, 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=2648","layer":4},{"info":"number node, value=5826","layer":4},{"info":"compute binary expreesion, left_input=2648, right_input=5826, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1650, 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=-16506, right_input=-21, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":1},{"info":"number node, value=3821","layer":4},{"info":"number node, value=2753","layer":4},{"info":"compute binary expreesion, left_input=3821, right_input=2753, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-22, right_input=nan, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=66","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯211110⨻⩈⩔⪩⨒∯1212112⫦⪉⪩⨒∯101332⩧⪆⪩⨒∯1231121)⋅⇍(≑⋹⪩⨒∯1111222)⨭⪣(⪩⨒∯221120⪁⪩⨒∯1123002))+⪬∐(⪁⇼((⪩⨒∯323231≬⋮⪩⨒∯223001)⪗))=⪩⨒∯1002","reverse_text":"⪩⨒∯1002=((⪩⨒∯211110⨻⩈⩔⪩⨒∯1212112⫦⪉⪩⨒∯101332⩧⪆⪩⨒∯1231121)⋅⇍(≑⋹⪩⨒∯1111222)⨭⪣(⪩⨒∯221120⪁⪩⨒∯1123002))+⪬∐(⪁⇼((⪩⨒∯323231≬⋮⪩⨒∯223001)⪗))","cot":[{"info":"⪩⨒∯211110⨻⩈⩔⪩⨒∯1212112=⪩⨒∯2213033","layer":3},{"info":"⪩⨒∯101332⩧⪆⪩⨒∯1231121=⪩⨒∯-1231121","layer":3},{"info":"⪩⨒∯2213033⫦⪉⪩⨒∯-1231121=⪩⨒∯-10001322","layer":2},{"info":"≑⋹⪩⨒∯1111222=⪩⨒∯121302","layer":3},{"info":"⪩⨒∯221120⪁⪩⨒∯1123002=NaN","layer":3},{"info":"⪩⨒∯121302⨭⪣NaN=⪩⨒∯-111","layer":2},{"info":"⪩⨒∯-10001322⋅⇍⪩⨒∯-111=⪩⨒∯-112","layer":1},{"info":"⪩⨒∯323231≬⋮⪩⨒∯223001=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯31210⪗=NaN","layer":2},{"info":"⪁⇼NaN=NaN","layer":1},{"info":"⪩⨒∯-112+⪬∐NaN=⪩⨒∯1002","layer":0}]}
{"id":848,"expression_no_base_symbol":"($4018$⇄$1603$⨽$4264$≁$1567$⇮⋭(⇜⊴(⋠∜$2546$)))∌($7339$∴$5872$⊢($3315$⋐⇩⊬)⋭≵$1122$⪃⊛⇣$1151$↤⩊(-$2001$))","expression":"(⪩⨒∯332302⇄⪩⨒∯121003⨽⪩⨒∯1002220≁⪩⨒∯120133⇮⋭(⇜⊴(⋠∜⪩⨒∯213302)))∌(⪩⨒∯1302223∴⪩⨒∯1123300⊢(⪩⨒∯303303⋐⇩⊬)⋭≵⪩⨒∯101202⪃⊛⇣⪩⨒∯101333↤⩊(-⪩⨒∯133101))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1053,"operation_count":14,"complexity_ratio":75.21428571428571,"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":4018,"base":4},"right_expr":{"type":"numeric_atoms","value":1603,"base":4}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":4264,"base":4},"right_expr":{"type":"numeric_atoms","value":1567,"base":4}}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⋠∜","unary_expr":{"type":"numeric_atoms","value":2546,"base":4}}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":7339,"base":4},"right_expr":{"type":"numeric_atoms","value":5872,"base":4}},"right_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":3315,"base":4}}},"right_expr":{"type":"binary","operator":"↤⩊","left_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1122,"base":4},"right_expr":{"type":"numeric_atoms","value":1151,"base":4}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2001,"base":4}}}}},"used_operators":["8cLx32lpNA","vkpjKywKVM","8HhzD0ZcuI","3EYGwJThht","8N2wDY1A35","XwDhCwWbUn","ZJpFhNJr3x","jBncVCNhdl","5twsqlHp2o","hrf7POJlIJ","JuuLT1NoCs","13rbtpv6ld","rrgAzCduG9","t8gj7n24qd"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA"],"result":"⪩⨒∯-1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4018","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=4018, right_input=1603, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=4264","layer":4},{"info":"number node, value=1567","layer":4},{"info":"compute binary expreesion, left_input=4264, right_input=1567, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=24407","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=24407, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-71907","layer":2},{"info":"number node, value=2546","layer":4},{"info":"compute unary expreesion, input=2546, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=12468","layer":3},{"info":"compute unary expreesion, input=12468, 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=-2928734","layer":2},{"info":"compute binary expreesion, left_input=-71907, right_input=-2928734, op_id = vkpjKywKVM binary_op_definition= 'a⇮⋭b = { (((⊖b)⊢)≎⊠⪸((a≃b)⇼⇔∾(47∇⊂⋱106))) }', output=67","layer":1},{"info":"number node, value=7339","layer":4},{"info":"number node, value=5872","layer":4},{"info":"compute binary expreesion, left_input=7339, right_input=5872, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=16326","layer":3},{"info":"number node, value=3315","layer":4},{"info":"compute unary expreesion, input=3315, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=3315","layer":3},{"info":"compute binary expreesion, left_input=16326, right_input=3315, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-32896","layer":2},{"info":"number node, value=1122","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1122, right_input=1151, 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=2001","layer":4},{"info":"compute unary expreesion, input=2001, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2001","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-2001, 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=-32896, 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":"compute binary expreesion, left_input=67, right_input=67, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=-67","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯332302⇄⪩⨒∯121003⨽⪩⨒∯1002220≁⪩⨒∯120133⇮⋭(⇜⊴(⋠∜⪩⨒∯213302)))∌(⪩⨒∯1302223∴⪩⨒∯1123300⊢(⪩⨒∯303303⋐⇩⊬)⋭≵⪩⨒∯101202⪃⊛⇣⪩⨒∯101333↤⩊(-⪩⨒∯133101))=⪩⨒∯-1003","reverse_text":"⪩⨒∯-1003=(⪩⨒∯332302⇄⪩⨒∯121003⨽⪩⨒∯1002220≁⪩⨒∯120133⇮⋭(⇜⊴(⋠∜⪩⨒∯213302)))∌(⪩⨒∯1302223∴⪩⨒∯1123300⊢(⪩⨒∯303303⋐⇩⊬)⋭≵⪩⨒∯101202⪃⊛⇣⪩⨒∯101333↤⩊(-⪩⨒∯133101))","cot":[{"info":"⪩⨒∯332302⇄⪩⨒∯121003=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1002220≁⪩⨒∯120133=⪩⨒∯11331113","layer":3},{"info":"⪩⨒∯0⨽⪩⨒∯11331113=⪩⨒∯-101203203","layer":2},{"info":"⋠∜⪩⨒∯213302=⪩⨒∯3002310","layer":3},{"info":"⇜⊴⪩⨒∯3002310=⪩⨒∯-23023001132","layer":2},{"info":"⪩⨒∯-101203203⇮⋭⪩⨒∯-23023001132=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯1302223∴⪩⨒∯1123300=⪩⨒∯3333012","layer":3},{"info":"⪩⨒∯303303⋐⇩⊬=⪩⨒∯303303","layer":3},{"info":"⪩⨒∯3333012⊢⪩⨒∯303303=⪩⨒∯-20002000","layer":2},{"info":"⪩⨒∯101202⪃⊛⇣⪩⨒∯101333=⪩⨒∯103102","layer":3},{"info":"-⪩⨒∯133101=⪩⨒∯-133101","layer":3},{"info":"⪩⨒∯103102↤⩊⪩⨒∯-133101=NaN","layer":2},{"info":"⪩⨒∯-20002000⋭≵NaN=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯1003∌⪩⨒∯1003=⪩⨒∯-1003","layer":0}]}
{"id":849,"expression_no_base_symbol":"($5310$→⨶⪴$1102$⨎$1876$∥⊢⊲$2682$)⨰((⪓⩚$1000$)∙⊟(⇋↷$4334$))⋷((⇖⫷⫕$2570$)⪁$1745$≹⇙⪍$1000$)⩘(($3680$≬⋮$2229$)⊝⪿⪼($1099$⩵∡$5200$))","expression":"(⪩⨒∯1102332→⨶⪴⪩⨒∯101032⨎⪩⨒∯131110∥⊢⊲⪩⨒∯221322)⨰((⪓⩚⪩⨒∯33220)∙⊟(⇋↷⪩⨒∯1003232))⋷((⇖⫷⫕⪩⨒∯220022)⪁⪩⨒∯123101≹⇙⪍⪩⨒∯33220)⩘((⪩⨒∯321200≬⋮⪩⨒∯202311)⊝⪿⪼(⪩⨒∯101023⩵∡⪩⨒∯1101100))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1008137,"operation_count":15,"complexity_ratio":67209.13333333333,"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":5310,"base":4},"right_expr":{"type":"numeric_atoms","value":1102,"base":4}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1876,"base":4},"right_expr":{"type":"numeric_atoms","value":2682,"base":4}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":1000,"base":4}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":4334,"base":4}}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⇖⫷⫕","unary_expr":{"type":"numeric_atoms","value":2570,"base":4}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1745,"base":4},"right_expr":{"type":"numeric_atoms","value":1000,"base":4}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":3680,"base":4},"right_expr":{"type":"numeric_atoms","value":2229,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1099,"base":4},"right_expr":{"type":"numeric_atoms","value":5200,"base":4}}}}},"used_operators":["23Mk6UjR3U","eewbuw0ToL","rJVOvQCfKK","bF6eod5Gvf","v1UQAVDJRr","SxTAKzQCrw","u0R0Locfp2","SWo3A1KBJH","cHh1gJQ2o6","I7sXao9hZE","UHmRx3INFg","AHs5Up7iyr","3Oe9XWJUTD","kbkesczE7y","Y7wcNGrDQJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8w2t5hMYqp","9FxExcQeMw","EBcxylXtPf","rGHVDoGpnC","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","DE7zCoGJt9","FyVja0WsTP","oZj3VtZNQx","DyGG3AbaNP","dWAJyo7jo9","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5310","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=5310, right_input=1102, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-3306","layer":3},{"info":"number node, value=1876","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=1876, right_input=2682, 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=-3306, 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":"number node, value=1000","layer":4},{"info":"compute unary expreesion, input=1000, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=4334","layer":4},{"info":"compute unary expreesion, input=4334, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=34672","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=34672, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=15386","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15386, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=2570","layer":4},{"info":"compute unary expreesion, input=2570, op_id = UHmRx3INFg, unary_op_definition = '⇖⫷⫕a = { ((a∼125)≀⫉(↞≼(a⊱⇼⊻51))) }', output=2822","layer":3},{"info":"number node, value=1745","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1745, right_input=1000, 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=2822, right_input=nan, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=3680","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=3680, right_input=2229, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":3},{"info":"number node, value=1099","layer":4},{"info":"number node, value=5200","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=5200, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=2881","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=2881, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=22952","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=22952, 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 = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1102332→⨶⪴⪩⨒∯101032⨎⪩⨒∯131110∥⊢⊲⪩⨒∯221322)⨰((⪓⩚⪩⨒∯33220)∙⊟(⇋↷⪩⨒∯1003232))⋷((⇖⫷⫕⪩⨒∯220022)⪁⪩⨒∯123101≹⇙⪍⪩⨒∯33220)⩘((⪩⨒∯321200≬⋮⪩⨒∯202311)⊝⪿⪼(⪩⨒∯101023⩵∡⪩⨒∯1101100))=NaN","reverse_text":"NaN=(⪩⨒∯1102332→⨶⪴⪩⨒∯101032⨎⪩⨒∯131110∥⊢⊲⪩⨒∯221322)⨰((⪓⩚⪩⨒∯33220)∙⊟(⇋↷⪩⨒∯1003232))⋷((⇖⫷⫕⪩⨒∯220022)⪁⪩⨒∯123101≹⇙⪍⪩⨒∯33220)⩘((⪩⨒∯321200≬⋮⪩⨒∯202311)⊝⪿⪼(⪩⨒∯101023⩵∡⪩⨒∯1101100))","cot":[{"info":"⪩⨒∯1102332→⨶⪴⪩⨒∯101032=⪩⨒∯-303222","layer":3},{"info":"⪩⨒∯131110∥⊢⊲⪩⨒∯221322=NaN","layer":3},{"info":"⪩⨒∯-303222⨎NaN=NaN","layer":2},{"info":"⪓⩚⪩⨒∯33220=⪩⨒∯12222","layer":3},{"info":"⇋↷⪩⨒∯1003232=⪩⨒∯20131300","layer":3},{"info":"⪩⨒∯12222∙⊟⪩⨒∯20131300=⪩⨒∯3300122","layer":2},{"info":"NaN⨰⪩⨒∯3300122=NaN","layer":1},{"info":"⇖⫷⫕⪩⨒∯220022=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯123101≹⇙⪍⪩⨒∯33220=NaN","layer":3},{"info":"⪩⨒∯230012⪁NaN=NaN","layer":2},{"info":"⪩⨒∯321200≬⋮⪩⨒∯202311=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯101023⩵∡⪩⨒∯1101100=⪩⨒∯231001","layer":3},{"info":"⪩⨒∯31210⊝⪿⪼⪩⨒∯231001=⪩⨒∯11212220","layer":2},{"info":"NaN⩘⪩⨒∯11212220=⪩⨒∯2200","layer":1},{"info":"NaN⋷⪩⨒∯2200=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"(($5545$⋷$2253$)⫢⨠($1950$⊚⫡⫭)≓∲($2188$⫃⨇$2744$)⪛($1070$∪⫐$3558$))≫≃","expression":"((⪩⨒∯1112221⋷⪩⨒∯203031)⫢⨠(⪩⨒∯132132⊚⫡⫭)≓∲(⪩⨒∯202030⫃⨇⪩⨒∯222320)⪛(⪩⨒∯100232∪⫐⪩⨒∯313212))≫≃","highest_n_order":2,"priority_hierarchical_complexity":7,"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":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5545,"base":4},"right_expr":{"type":"numeric_atoms","value":2253,"base":4}},"right_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1950,"base":4}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2188,"base":4},"right_expr":{"type":"numeric_atoms","value":2744,"base":4}},"right_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1070,"base":4},"right_expr":{"type":"numeric_atoms","value":3558,"base":4}}}}},"used_operators":["X99M06cbEe","s1XTVnmDOJ","xlXykHWxX1","23Mk6UjR3U","SpZWOsLKZJ","uFcxV4UQCh","09Ly4LVMIf","7YooWSwCyH"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","rJVOvQCfKK","2DDjHMKMc0"],"result":"⪩⨒∯2113101333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5545","layer":4},{"info":"number node, value=2253","layer":4},{"info":"compute binary expreesion, left_input=5545, right_input=2253, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1039","layer":3},{"info":"number node, value=1950","layer":4},{"info":"compute unary expreesion, input=1950, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-2974","layer":3},{"info":"compute binary expreesion, left_input=-1039, right_input=-2974, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=30834","layer":2},{"info":"number node, value=2188","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=2744, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-11008","layer":3},{"info":"number node, value=1070","layer":4},{"info":"number node, value=3558","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=3558, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1070","layer":3},{"info":"compute binary expreesion, left_input=-11008, right_input=1070, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=762","layer":2},{"info":"compute binary expreesion, left_input=30834, right_input=762, 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=309123","layer":1},{"info":"compute unary expreesion, input=309123, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=619647","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1112221⋷⪩⨒∯203031)⫢⨠(⪩⨒∯132132⊚⫡⫭)≓∲(⪩⨒∯202030⫃⨇⪩⨒∯222320)⪛(⪩⨒∯100232∪⫐⪩⨒∯313212))≫≃=⪩⨒∯2113101333","reverse_text":"⪩⨒∯2113101333=((⪩⨒∯1112221⋷⪩⨒∯203031)⫢⨠(⪩⨒∯132132⊚⫡⫭)≓∲(⪩⨒∯202030⫃⨇⪩⨒∯222320)⪛(⪩⨒∯100232∪⫐⪩⨒∯313212))≫≃","cot":[{"info":"⪩⨒∯1112221⋷⪩⨒∯203031=⪩⨒∯-100033","layer":3},{"info":"⪩⨒∯132132⊚⫡⫭=⪩⨒∯-232132","layer":3},{"info":"⪩⨒∯-100033⫢⨠⪩⨒∯-232132=⪩⨒∯13201302","layer":2},{"info":"⪩⨒∯202030⫃⨇⪩⨒∯222320=⪩⨒∯-2230000","layer":3},{"info":"⪩⨒∯100232∪⫐⪩⨒∯313212=⪩⨒∯100232","layer":3},{"info":"⪩⨒∯-2230000⪛⪩⨒∯100232=⪩⨒∯23322","layer":2},{"info":"⪩⨒∯13201302≓∲⪩⨒∯23322=⪩⨒∯1023132003","layer":1},{"info":"⪩⨒∯1023132003≫≃=⪩⨒∯2113101333","layer":0}]}
{"id":851,"expression_no_base_symbol":"⪨⨬($2363$⋥⋵⩄$4547$⪒⊣⊆($5339$⨒$2622$)⩷∴(($5076$⩉⊫⨁)⇗⋫))","expression":"⪨⨬(⪩⨒∯210323⋥⋵⩄⪩⨒∯1013003⪒⊣⊆(⪩⨒∯1103123⨒⪩⨒∯220332)⩷∴((⪩⨒∯1033110⩉⊫⨁)⇗⋫))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":77,"operation_count":7,"complexity_ratio":11.0,"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":2363,"base":4},"right_expr":{"type":"numeric_atoms","value":4547,"base":4}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":5339,"base":4},"right_expr":{"type":"numeric_atoms","value":2622,"base":4}}},"right_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"unary","operator":"⩉⊫⨁","unary_expr":{"type":"numeric_atoms","value":5076,"base":4}}}}},"used_operators":["5obUd6DV38","9FxExcQeMw","eRqsBgTDFp","7t3wd0Fuz7","y75s1iXyHd","hpqmaQFPrd","7qqUquhhSb"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","sdazOOVcIp","W4YGzv6Whe","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","rxpJgHHUmx","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2363","layer":4},{"info":"number node, value=4547","layer":4},{"info":"compute binary expreesion, left_input=2363, right_input=4547, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=5339","layer":4},{"info":"number node, value=2622","layer":4},{"info":"compute binary expreesion, left_input=5339, right_input=2622, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-31662","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-31662, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=226","layer":2},{"info":"number node, value=5076","layer":4},{"info":"compute unary expreesion, input=5076, op_id = 7qqUquhhSb, unary_op_definition = 'a⩉⊫⨁ = { (331↺a) }', output=5076","layer":3},{"info":"compute unary expreesion, input=5076, op_id = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=226, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⪨⨬(⪩⨒∯210323⋥⋵⩄⪩⨒∯1013003⪒⊣⊆(⪩⨒∯1103123⨒⪩⨒∯220332)⩷∴((⪩⨒∯1033110⩉⊫⨁)⇗⋫))=NaN","reverse_text":"NaN=⪨⨬(⪩⨒∯210323⋥⋵⩄⪩⨒∯1013003⪒⊣⊆(⪩⨒∯1103123⨒⪩⨒∯220332)⩷∴((⪩⨒∯1033110⩉⊫⨁)⇗⋫))","cot":[{"info":"⪩⨒∯210323⋥⋵⩄⪩⨒∯1013003=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯1103123⨒⪩⨒∯220332=⪩⨒∯-13232232","layer":3},{"info":"⪩⨒∯1301⪒⊣⊆⪩⨒∯-13232232=⪩⨒∯3202","layer":2},{"info":"⪩⨒∯1033110⩉⊫⨁=⪩⨒∯1033110","layer":3},{"info":"⪩⨒∯1033110⇗⋫=NaN","layer":2},{"info":"⪩⨒∯3202⩷∴NaN=NaN","layer":1},{"info":"⪨⨬NaN=NaN","layer":0}]}
{"id":852,"expression_no_base_symbol":"⊁⨺((($3114$⊦⊿)⪄$3833$⨻⩈⩔$2376$)∠⫱(≑⋹($3390$⇤$1305$)))","expression":"⊁⨺(((⪩⨒∯300222⊦⊿)⪄⪩⨒∯323321⨻⩈⩔⪩⨒∯211020)∠⫱(≑⋹(⪩⨒∯310332⇤⪩⨒∯110121)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21184,"operation_count":7,"complexity_ratio":3026.285714285714,"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":3114,"base":4}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":3833,"base":4},"right_expr":{"type":"numeric_atoms","value":2376,"base":4}}},"right_expr":{"type":"unary","operator":"≑⋹","unary_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":3390,"base":4},"right_expr":{"type":"numeric_atoms","value":1305,"base":4}}}}},"used_operators":["PxiHyQbrIp","QvoQhV0rrE","SUmda5xLS4","14qkJME0vr","nEsXyWgiOK","6B9nyZLogK","YSKBFp38Pu"],"dependent_operators":["rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","aBQ6xLxuTc","zR4jO40bMj","RabNbG55vr","ocnLzx9CaJ","3ViojmjbAp","FlXk3pOYe8","o20kRiQErp","4JB6nKBMSY","2td37pGCOC","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3114","layer":4},{"info":"compute unary expreesion, input=3114, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9421","layer":3},{"info":"number node, value=3833","layer":4},{"info":"number node, value=2376","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=2376, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=22263","layer":3},{"info":"compute binary expreesion, left_input=-9421, right_input=22263, 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=3390","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=3390, right_input=1305, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-20627","layer":3},{"info":"compute unary expreesion, input=-20627, 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=3979, right_input=-766, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=4745","layer":1},{"info":"compute unary expreesion, input=4745, 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":4,"result_base":4,"text":"⊁⨺(((⪩⨒∯300222⊦⊿)⪄⪩⨒∯323321⨻⩈⩔⪩⨒∯211020)∠⫱(≑⋹(⪩⨒∯310332⇤⪩⨒∯110121)))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=⊁⨺(((⪩⨒∯300222⊦⊿)⪄⪩⨒∯323321⨻⩈⩔⪩⨒∯211020)∠⫱(≑⋹(⪩⨒∯310332⇤⪩⨒∯110121)))","cot":[{"info":"⪩⨒∯300222⊦⊿=⪩⨒∯-2103031","layer":3},{"info":"⪩⨒∯323321⨻⩈⩔⪩⨒∯211020=⪩⨒∯11123313","layer":3},{"info":"⪩⨒∯-2103031⪄⪩⨒∯11123313=⪩⨒∯332023","layer":2},{"info":"⪩⨒∯310332⇤⪩⨒∯110121=⪩⨒∯-11002103","layer":3},{"info":"≑⋹⪩⨒∯-11002103=⪩⨒∯-23332","layer":2},{"info":"⪩⨒∯332023∠⫱⪩⨒∯-23332=⪩⨒∯1022021","layer":1},{"info":"⊁⨺⪩⨒∯1022021=⪩⨒∯2200","layer":0}]}
{"id":853,"expression_no_base_symbol":"($1284$⩵∡$6298$⪁$5063$≓∲$1645$)⨐(⨑⩽⪐$1221$≝⊿$6711$)⨱∎","expression":"(⪩⨒∯110010⩵∡⪩⨒∯1202122⪁⪩⨒∯1033013≓∲⪩⨒∯121231)⨐(⨑⩽⪐⪩⨒∯103011≝⊿⪩⨒∯1220313)⨱∎","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":55141,"operation_count":7,"complexity_ratio":7877.285714285715,"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":1284,"base":4},"right_expr":{"type":"numeric_atoms","value":6298,"base":4}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"numeric_atoms","value":5063,"base":4},"right_expr":{"type":"numeric_atoms","value":1645,"base":4}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":1221,"base":4},"right_expr":{"type":"numeric_atoms","value":6711,"base":4}}}}},"used_operators":["MmTdOpaElr","Noe24qw2ks","I7sXao9hZE","Y7wcNGrDQJ","s1XTVnmDOJ","AF7qkfDlqP","OKKcZfAt5B"],"dependent_operators":["tifHPKVTfV","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","NTOWxs364D","glklzrTFfD","tifHPKVTfV","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1284","layer":4},{"info":"number node, value=6298","layer":4},{"info":"compute binary expreesion, left_input=1284, right_input=6298, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=3609","layer":3},{"info":"number node, value=5063","layer":4},{"info":"number node, value=1645","layer":4},{"info":"compute binary expreesion, left_input=5063, right_input=1645, 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=51413","layer":3},{"info":"compute binary expreesion, left_input=3609, right_input=51413, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":2},{"info":"number node, value=1221","layer":4},{"info":"number node, value=6711","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=6711, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-15176","layer":3},{"info":"compute unary expreesion, input=-15176, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=31141","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=31141, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯110010⩵∡⪩⨒∯1202122⪁⪩⨒∯1033013≓∲⪩⨒∯121231)⨐(⨑⩽⪐⪩⨒∯103011≝⊿⪩⨒∯1220313)⨱∎=NaN","reverse_text":"NaN=(⪩⨒∯110010⩵∡⪩⨒∯1202122⪁⪩⨒∯1033013≓∲⪩⨒∯121231)⨐(⨑⩽⪐⪩⨒∯103011≝⊿⪩⨒∯1220313)⨱∎","cot":[{"info":"⪩⨒∯110010⩵∡⪩⨒∯1202122=⪩⨒∯320121","layer":3},{"info":"⪩⨒∯1033013≓∲⪩⨒∯121231=⪩⨒∯30203111","layer":3},{"info":"⪩⨒∯320121⪁⪩⨒∯30203111=NaN","layer":2},{"info":"⪩⨒∯103011≝⊿⪩⨒∯1220313=⪩⨒∯-3231020","layer":3},{"info":"⨑⩽⪐⪩⨒∯-3231020=⪩⨒∯13212211","layer":2},{"info":"NaN⨐⪩⨒∯13212211=NaN","layer":1},{"info":"NaN⨱∎=NaN","layer":0}]}
{"id":854,"expression_no_base_symbol":"(($1461$⋥≓≎$3752$)⨜⨶($2656$⪢$1283$)⊍⩺⋍(≀↧⇸($1058$⫚↹⊑$2717$)))↡⊰⫅$3622$⇂≾⫗$1118$⨼⩣($1399$⇍⊗$3893$)⪚(⇜$1524$)⨸($3207$⨚$2378$)","expression":"((⪩⨒∯112311⋥≓≎⪩⨒∯322220)⨜⨶(⪩⨒∯221200⪢⪩⨒∯110003)⊍⩺⋍(≀↧⇸(⪩⨒∯100202⫚↹⊑⪩⨒∯222131)))↡⊰⫅⪩⨒∯320212⇂≾⫗⪩⨒∯101132⨼⩣(⪩⨒∯111313⇍⊗⪩⨒∯330311)⪚(⇜⪩⨒∯113310)⨸(⪩⨒∯302013⨚⪩⨒∯211022)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":16630,"operation_count":14,"complexity_ratio":1187.857142857143,"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":1461,"base":4},"right_expr":{"type":"numeric_atoms","value":3752,"base":4}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2656,"base":4},"right_expr":{"type":"numeric_atoms","value":1283,"base":4}}},"right_expr":{"type":"unary","operator":"≀↧⇸","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1058,"base":4},"right_expr":{"type":"numeric_atoms","value":2717,"base":4}}}},"right_expr":{"type":"binary","operator":"⪚","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3622,"base":4},"right_expr":{"type":"numeric_atoms","value":1118,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1399,"base":4},"right_expr":{"type":"numeric_atoms","value":3893,"base":4}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":1524,"base":4}},"right_expr":{"type":"binary","operator":"⨚","left_expr":{"type":"numeric_atoms","value":3207,"base":4},"right_expr":{"type":"numeric_atoms","value":2378,"base":4}}}}},"used_operators":["VCtxkLNOzz","OXDGMFPWZM","HiPekx5b7W","Qy55tPpLXF","dWAJyo7jo9","ljTHtUsqzn","dfKe02y8D2","HrjLwUk87U","JxwMv5le6e","aBQ6xLxuTc","5uvYHDjeKN","KmoU8R5UQR","lFBm8KRb8F","nREPSIbpBE"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","BjRHVeLaeN","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":4},{"info":"number node, value=3752","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=3752, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6076","layer":3},{"info":"number node, value=2656","layer":4},{"info":"number node, value=1283","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=1283, 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=6076, 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":"number node, value=1058","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=2717, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = ljTHtUsqzn, unary_op_definition = '≀↧⇸a = { (⪲⇎(a⋷a)) }', output=1788","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1788, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":1},{"info":"number node, value=3622","layer":4},{"info":"number node, value=1118","layer":4},{"info":"compute binary expreesion, left_input=3622, right_input=1118, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=3893","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=3893, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=-676, right_input=-244, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":2},{"info":"number node, value=1524","layer":4},{"info":"compute unary expreesion, input=1524, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-12600","layer":3},{"info":"number node, value=3207","layer":4},{"info":"number node, value=2378","layer":4},{"info":"compute binary expreesion, left_input=3207, right_input=2378, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=-2164","layer":3},{"info":"compute binary expreesion, left_input=-12600, right_input=-2164, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=347654","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=347654, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯112311⋥≓≎⪩⨒∯322220)⨜⨶(⪩⨒∯221200⪢⪩⨒∯110003)⊍⩺⋍(≀↧⇸(⪩⨒∯100202⫚↹⊑⪩⨒∯222131)))↡⊰⫅⪩⨒∯320212⇂≾⫗⪩⨒∯101132⨼⩣(⪩⨒∯111313⇍⊗⪩⨒∯330311)⪚(⇜⪩⨒∯113310)⨸(⪩⨒∯302013⨚⪩⨒∯211022)=NaN","reverse_text":"NaN=((⪩⨒∯112311⋥≓≎⪩⨒∯322220)⨜⨶(⪩⨒∯221200⪢⪩⨒∯110003)⊍⩺⋍(≀↧⇸(⪩⨒∯100202⫚↹⊑⪩⨒∯222131)))↡⊰⫅⪩⨒∯320212⇂≾⫗⪩⨒∯101132⨼⩣(⪩⨒∯111313⇍⊗⪩⨒∯330311)⪚(⇜⪩⨒∯113310)⨸(⪩⨒∯302013⨚⪩⨒∯211022)","cot":[{"info":"⪩⨒∯112311⋥≓≎⪩⨒∯322220=⪩⨒∯1132330","layer":3},{"info":"⪩⨒∯221200⪢⪩⨒∯110003=NaN","layer":3},{"info":"⪩⨒∯1132330⨜⨶NaN=NaN","layer":2},{"info":"⪩⨒∯100202⫚↹⊑⪩⨒∯222131=⪩⨒∯-12333","layer":3},{"info":"≀↧⇸⪩⨒∯-12333=⪩⨒∯123330","layer":2},{"info":"NaN⊍⩺⋍⪩⨒∯123330=NaN","layer":1},{"info":"⪩⨒∯320212⇂≾⫗⪩⨒∯101132=⪩⨒∯-22210","layer":3},{"info":"⪩⨒∯111313⇍⊗⪩⨒∯330311=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯-22210⨼⩣⪩⨒∯-3310=NaN","layer":2},{"info":"⇜⪩⨒∯113310=⪩⨒∯-3010320","layer":3},{"info":"⪩⨒∯302013⨚⪩⨒∯211022=⪩⨒∯-201310","layer":3},{"info":"⪩⨒∯-3010320⨸⪩⨒∯-201310=⪩⨒∯1110320012","layer":2},{"info":"NaN⪚⪩⨒∯1110320012=NaN","layer":1},{"info":"NaN↡⊰⫅NaN=NaN","layer":0}]}
{"id":855,"expression_no_base_symbol":"($4028$⨑⩅≇$6862$∑⇟⊟($3109$*$1656$)-$4196$≝⊿$2898$⫘($5219$≧⫂∧$1788$))⫗⊷⫓((≛$2691$⪭≯$2924$)⨭⪣($1310$∧)≌(⇤←$7490$))","expression":"(⪩⨒∯332330⨑⩅≇⪩⨒∯1223032∑⇟⊟(⪩⨒∯300211*⪩⨒∯121320)-⪩⨒∯1001210≝⊿⪩⨒∯231102⫘(⪩⨒∯1101203≧⫂∧⪩⨒∯123330))⫗⊷⫓((≛⪩⨒∯222003⪭≯⪩⨒∯231230)⨭⪣(⪩⨒∯110132∧)≌(⇤←⪩⨒∯1311002))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":144616,"operation_count":14,"complexity_ratio":10329.714285714286,"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":4028,"base":4},"right_expr":{"type":"numeric_atoms","value":6862,"base":4}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3109,"base":4},"right_expr":{"type":"numeric_atoms","value":1656,"base":4}}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":4196,"base":4},"right_expr":{"type":"numeric_atoms","value":2898,"base":4}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5219,"base":4},"right_expr":{"type":"numeric_atoms","value":1788,"base":4}}}},"right_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":2691,"base":4},"right_expr":{"type":"numeric_atoms","value":2924,"base":4}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1310,"base":4}},"right_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"numeric_atoms","value":7490,"base":4}}}}},"used_operators":["zashukvMKz","rysDP5nf3Z","U7g4x0WXJJ","h92wMvzauj","9HNa5Wba9A","48vC8HMD2b","OKKcZfAt5B","Ph9nP6C5qx","kn8WO9XteQ","W7eaUhjymW","XAx5wpdLa6","lyWz822IDG","z63VuFQld9","jfAgQ2OQeM"],"dependent_operators":["xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx"],"result":"⪩⨒∯-2012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4028","layer":4},{"info":"number node, value=6862","layer":4},{"info":"compute binary expreesion, left_input=4028, right_input=6862, 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=-12084","layer":3},{"info":"number node, value=3109","layer":4},{"info":"number node, value=1656","layer":4},{"info":"compute binary expreesion, left_input=3109, right_input=1656, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5148504","layer":3},{"info":"compute binary expreesion, left_input=-12084, right_input=5148504, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4196","layer":4},{"info":"number node, value=2898","layer":4},{"info":"compute binary expreesion, left_input=4196, right_input=2898, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-10525","layer":3},{"info":"number node, value=5219","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=5219, right_input=1788, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1315","layer":3},{"info":"compute binary expreesion, left_input=-10525, right_input=1315, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=12381805","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=12381805, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2691","layer":4},{"info":"number node, value=2924","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=2924, 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 = 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=1310","layer":4},{"info":"compute unary expreesion, input=1310, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=7490","layer":4},{"info":"compute unary expreesion, input=7490, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=-36084","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-36084, 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=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 binary expreesion, left_input=nan, right_input=-21, 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":4,"result_base":4,"text":"(⪩⨒∯332330⨑⩅≇⪩⨒∯1223032∑⇟⊟(⪩⨒∯300211*⪩⨒∯121320)-⪩⨒∯1001210≝⊿⪩⨒∯231102⫘(⪩⨒∯1101203≧⫂∧⪩⨒∯123330))⫗⊷⫓((≛⪩⨒∯222003⪭≯⪩⨒∯231230)⨭⪣(⪩⨒∯110132∧)≌(⇤←⪩⨒∯1311002))=⪩⨒∯-2012","reverse_text":"⪩⨒∯-2012=(⪩⨒∯332330⨑⩅≇⪩⨒∯1223032∑⇟⊟(⪩⨒∯300211*⪩⨒∯121320)-⪩⨒∯1001210≝⊿⪩⨒∯231102⫘(⪩⨒∯1101203≧⫂∧⪩⨒∯123330))⫗⊷⫓((≛⪩⨒∯222003⪭≯⪩⨒∯231230)⨭⪣(⪩⨒∯110132∧)≌(⇤←⪩⨒∯1311002))","cot":[{"info":"⪩⨒∯332330⨑⩅≇⪩⨒∯1223032=⪩⨒∯-2330310","layer":3},{"info":"⪩⨒∯300211*⪩⨒∯121320=⪩⨒∯103220331120","layer":3},{"info":"⪩⨒∯-2330310∑⇟⊟⪩⨒∯103220331120=NaN","layer":2},{"info":"⪩⨒∯1001210≝⊿⪩⨒∯231102=⪩⨒∯-2210131","layer":3},{"info":"⪩⨒∯1101203≧⫂∧⪩⨒∯123330=⪩⨒∯110203","layer":3},{"info":"⪩⨒∯-2210131⫘⪩⨒∯110203=⪩⨒∯233032321231","layer":2},{"info":"NaN-⪩⨒∯233032321231=NaN","layer":1},{"info":"⪩⨒∯222003⪭≯⪩⨒∯231230=NaN","layer":3},{"info":"≛NaN=NaN","layer":2},{"info":"⪩⨒∯110132∧=NaN","layer":3},{"info":"⇤←⪩⨒∯1311002=⪩⨒∯-20303310","layer":3},{"info":"NaN≌⪩⨒∯-20303310=NaN","layer":2},{"info":"NaN⨭⪣NaN=⪩⨒∯-111","layer":1},{"info":"NaN⫗⊷⫓⪩⨒∯-111=⪩⨒∯-2012","layer":0}]}
{"id":856,"expression_no_base_symbol":"⪁⇼(($3705$⩦$1000$⇼⇔∾(⩷⨜⫀$7648$))⨐⩸⫘$5620$⫘$5555$≚⊃≕$1081$⨿$1491$)","expression":"⪁⇼((⪩⨒∯321321⩦⪩⨒∯33220⇼⇔∾(⩷⨜⫀⪩⨒∯1313200))⨐⩸⫘⪩⨒∯1113310⫘⪩⨒∯1112303≚⊃≕⪩⨒∯100321⨿⪩⨒∯113103)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6116,"operation_count":8,"complexity_ratio":764.5,"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":3705,"base":4},"right_expr":{"type":"numeric_atoms","value":1000,"base":4}},"right_expr":{"type":"unary","operator":"⩷⨜⫀","unary_expr":{"type":"numeric_atoms","value":7648,"base":4}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":5620,"base":4},"right_expr":{"type":"numeric_atoms","value":5555,"base":4}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":1081,"base":4},"right_expr":{"type":"numeric_atoms","value":1491,"base":4}}}}},"used_operators":["ZNVVrZ94lY","fu6greOZ01","tifHPKVTfV","0kmYd0q39Y","CDi0ktkjQ4","Bmrmz2XGnR","48vC8HMD2b","abYXlopdE0"],"dependent_operators":["sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","ruOEQAzv1W","nhYeJWJD5X","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3705","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=3705, right_input=1000, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=7410","layer":3},{"info":"number node, value=7648","layer":4},{"info":"compute unary expreesion, input=7648, op_id = CDi0ktkjQ4, unary_op_definition = '⩷⨜⫀a = { (a∇⊂⋱383) , if a<1 ; (↔a) , else }', output=-7375","layer":3},{"info":"compute binary expreesion, left_input=7410, right_input=-7375, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-14785","layer":2},{"info":"number node, value=5620","layer":4},{"info":"number node, value=5555","layer":4},{"info":"compute binary expreesion, left_input=5620, right_input=5555, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=6613525","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=1491, 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=6613525, right_input=-319, 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=26453296","layer":2},{"info":"compute binary expreesion, left_input=-14785, right_input=26453296, 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":"compute unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⪁⇼((⪩⨒∯321321⩦⪩⨒∯33220⇼⇔∾(⩷⨜⫀⪩⨒∯1313200))⨐⩸⫘⪩⨒∯1113310⫘⪩⨒∯1112303≚⊃≕⪩⨒∯100321⨿⪩⨒∯113103)=NaN","reverse_text":"NaN=⪁⇼((⪩⨒∯321321⩦⪩⨒∯33220⇼⇔∾(⩷⨜⫀⪩⨒∯1313200))⨐⩸⫘⪩⨒∯1113310⫘⪩⨒∯1112303≚⊃≕⪩⨒∯100321⨿⪩⨒∯113103)","cot":[{"info":"⪩⨒∯321321⩦⪩⨒∯33220=⪩⨒∯1303302","layer":3},{"info":"⩷⨜⫀⪩⨒∯1313200=⪩⨒∯-1303033","layer":3},{"info":"⪩⨒∯1303302⇼⇔∾⪩⨒∯-1303033=⪩⨒∯-3213001","layer":2},{"info":"⪩⨒∯1113310⫘⪩⨒∯1112303=⪩⨒∯121032220111","layer":3},{"info":"⪩⨒∯100321⨿⪩⨒∯113103=⪩⨒∯-10333","layer":3},{"info":"⪩⨒∯121032220111≚⊃≕⪩⨒∯-10333=⪩⨒∯1210322110300","layer":2},{"info":"⪩⨒∯-3213001⨐⩸⫘⪩⨒∯1210322110300=NaN","layer":1},{"info":"⪁⇼NaN=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"($1011$∋$4509$↡⊰⫅$1598$∙⊟$1321$⩹($6288$⪎⩰)⪛($1926$⊾⪯⋞$1205$))⩁⩘(⇙⪊(($1109$⨵⪆$3815$)⋭≵($1482$⨱∎)))","expression":"(⪩⨒∯33303∋⪩⨒∯1012131↡⊰⫅⪩⨒∯120332∙⊟⪩⨒∯110221⩹(⪩⨒∯1202100⪎⩰)⪛(⪩⨒∯132012⊾⪯⋞⪩⨒∯102311))⩁⩘(⇙⪊((⪩⨒∯101111⨵⪆⪩⨒∯323213)⋭≵(⪩⨒∯113022⨱∎)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":430604,"operation_count":12,"complexity_ratio":35883.666666666664,"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":1011,"base":4},"right_expr":{"type":"numeric_atoms","value":4509,"base":4}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":1598,"base":4},"right_expr":{"type":"numeric_atoms","value":1321,"base":4}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪎⩰","unary_expr":{"type":"numeric_atoms","value":6288,"base":4}},"right_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"numeric_atoms","value":1926,"base":4},"right_expr":{"type":"numeric_atoms","value":1205,"base":4}}}},"right_expr":{"type":"unary","operator":"⇙⪊","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1109,"base":4},"right_expr":{"type":"numeric_atoms","value":3815,"base":4}},"right_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"numeric_atoms","value":1482,"base":4}}}}},"used_operators":["gub5Cegaqo","2Wsdkap16l","VCtxkLNOzz","ukq6epAj5P","SxTAKzQCrw","uFcxV4UQCh","2ufhKmSs5H","HK0tfVPux8","pB6Fcnrjim","jBncVCNhdl","2DQ55sFlQl","MmTdOpaElr"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DpFCA1CohY","N41Kp7NANJ","sdazOOVcIp","EBcxylXtPf","f6k1SAg4EE","COABgblf1C","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","DIvbN7qnHd","2td37pGCOC","rysDP5nf3Z","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=4509","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=4509, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=9341548","layer":3},{"info":"number node, value=1598","layer":4},{"info":"number node, value=1321","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=1321, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=30620","layer":3},{"info":"compute binary expreesion, left_input=9341548, right_input=30620, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=61240","layer":2},{"info":"number node, value=6288","layer":4},{"info":"compute unary expreesion, input=6288, 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=1926","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=1926, right_input=1205, op_id = HK0tfVPux8 binary_op_definition= 'a⊾⪯⋞b = { ((121⊭∹↮)⊬⨰(a⨑≵⋬b)) , if (a⩟)==395 or (a⨱∎)>94 ; ((b⪘⫢b)⩒⫫(a⇤b)) , else }', output=1984","layer":3},{"info":"compute binary expreesion, left_input=-34, right_input=1984, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1950","layer":2},{"info":"compute binary expreesion, left_input=61240, right_input=1950, 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=1948","layer":1},{"info":"number node, value=1109","layer":4},{"info":"number node, value=3815","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=3815, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1482","layer":4},{"info":"compute unary expreesion, input=1482, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = jBncVCNhdl binary_op_definition= 'a⋭≵b = { ((156≦↸a)⊭↱(≦∁b)) , if (b⫸⊐434)<=441 and (a⫸⇳180)>=132 ; ((a⪑⩈)⊵↤) , else }', output=-75","layer":2},{"info":"compute unary expreesion, input=-75, op_id = pB6Fcnrjim, unary_op_definition = '⇙⪊a = { (633⊠≄⫣) , if (⩦⩻⨪a)>538 ; (a-a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1948, right_input=0, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯33303∋⪩⨒∯1012131↡⊰⫅⪩⨒∯120332∙⊟⪩⨒∯110221⩹(⪩⨒∯1202100⪎⩰)⪛(⪩⨒∯132012⊾⪯⋞⪩⨒∯102311))⩁⩘(⇙⪊((⪩⨒∯101111⨵⪆⪩⨒∯323213)⋭≵(⪩⨒∯113022⨱∎)))=NaN","reverse_text":"NaN=(⪩⨒∯33303∋⪩⨒∯1012131↡⊰⫅⪩⨒∯120332∙⊟⪩⨒∯110221⩹(⪩⨒∯1202100⪎⩰)⪛(⪩⨒∯132012⊾⪯⋞⪩⨒∯102311))⩁⩘(⇙⪊((⪩⨒∯101111⨵⪆⪩⨒∯323213)⋭≵(⪩⨒∯113022⨱∎)))","cot":[{"info":"⪩⨒∯33303∋⪩⨒∯1012131=⪩⨒∯203220221230","layer":3},{"info":"⪩⨒∯120332∙⊟⪩⨒∯110221=⪩⨒∯13132130","layer":3},{"info":"⪩⨒∯203220221230↡⊰⫅⪩⨒∯13132130=⪩⨒∯32330320","layer":2},{"info":"⪩⨒∯1202100⪎⩰=⪩⨒∯-202","layer":3},{"info":"⪩⨒∯132012⊾⪯⋞⪩⨒∯102311=⪩⨒∯133000","layer":3},{"info":"⪩⨒∯-202⪛⪩⨒∯133000=⪩⨒∯132132","layer":2},{"info":"⪩⨒∯32330320⩹⪩⨒∯132132=⪩⨒∯132130","layer":1},{"info":"⪩⨒∯101111⨵⪆⪩⨒∯323213=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯113022⨱∎=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2200⋭≵⪩⨒∯0=⪩⨒∯-1023","layer":2},{"info":"⇙⪊⪩⨒∯-1023=⪩⨒∯0","layer":1},{"info":"⪩⨒∯132130⩁⩘⪩⨒∯0=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"((⊖∈(∡$2720$))⇐≅)⋕⪉⪜(∤$2198$↞⋁$5493$⩘($1159$⨔≚≋$6499$))","expression":"((⊖∈(∡⪩⨒∯222200))⇐≅)⋕⪉⪜(∤⪩⨒∯202112↞⋁⪩⨒∯1111311⩘(⪩⨒∯102013⨔≚≋⪩⨒∯1211203))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8556,"operation_count":8,"complexity_ratio":1069.5,"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":2720,"base":4}}}},"right_expr":{"type":"unary","operator":"∤","unary_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":2198,"base":4},"right_expr":{"type":"numeric_atoms","value":5493,"base":4}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"numeric_atoms","value":1159,"base":4},"right_expr":{"type":"numeric_atoms","value":6499,"base":4}}}}},"used_operators":["z6LnFrNh4i","wEfv7U73WA","YFxL8Sc2Zy","pRsWfj4Fpp","k2HlF1dBQh","cHh1gJQ2o6","RqrPlJkxDo","Z57zeUYC9z"],"dependent_operators":["sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","9FxExcQeMw","t8gj7n24qd","Ph9nP6C5qx","i8ToyICDmI","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI"],"result":"⪩⨒∯223302","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2720","layer":4},{"info":"compute unary expreesion, input=2720, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=-2720","layer":3},{"info":"compute unary expreesion, input=-2720, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=148539890","layer":2},{"info":"compute unary expreesion, input=148539890, op_id = wEfv7U73WA, unary_op_definition = 'a⇐≅ = { ((a⩷∴(a∲⫓a))≧⫂∧(-a)) }', output=445619638","layer":1},{"info":"number node, value=2198","layer":4},{"info":"number node, value=5493","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=5493, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=1159","layer":4},{"info":"number node, value=6499","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=6499, 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 = 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 = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":1},{"info":"compute binary expreesion, left_input=445619638, right_input=9, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":0}],"base":4,"result_base":4,"text":"((⊖∈(∡⪩⨒∯222200))⇐≅)⋕⪉⪜(∤⪩⨒∯202112↞⋁⪩⨒∯1111311⩘(⪩⨒∯102013⨔≚≋⪩⨒∯1211203))=⪩⨒∯223302","reverse_text":"⪩⨒∯223302=((⊖∈(∡⪩⨒∯222200))⇐≅)⋕⪉⪜(∤⪩⨒∯202112↞⋁⪩⨒∯1111311⩘(⪩⨒∯102013⨔≚≋⪩⨒∯1211203))","cot":[{"info":"∡⪩⨒∯222200=⪩⨒∯-222200","layer":3},{"info":"⊖∈⪩⨒∯-222200=⪩⨒∯20312220213302","layer":2},{"info":"⪩⨒∯20312220213302⇐≅=⪩⨒∯122203321312312","layer":1},{"info":"⪩⨒∯202112↞⋁⪩⨒∯1111311=NaN","layer":3},{"info":"⪩⨒∯102013⨔≚≋⪩⨒∯1211203=⪩⨒∯2122100","layer":3},{"info":"NaN⩘⪩⨒∯2122100=⪩⨒∯2200","layer":2},{"info":"∤⪩⨒∯2200=⪩⨒∯21","layer":1},{"info":"⪩⨒∯122203321312312⋕⪉⪜⪩⨒∯21=⪩⨒∯223302","layer":0}]}
{"id":859,"expression_no_base_symbol":"⇨(⪹($3393$∲⫓$2676$))⨼⩣(≋$1126$)⨽∌($1632$⩇∃⫛$3308$)","expression":"⇨(⪹(⪩⨒∯311001∲⫓⪩⨒∯221310))⨼⩣(≋⪩⨒∯101212)⨽∌(⪩⨒∯121200⩇∃⫛⪩⨒∯303230)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":423,"operation_count":7,"complexity_ratio":60.42857142857143,"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":3393,"base":4},"right_expr":{"type":"numeric_atoms","value":2676,"base":4}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"≋","unary_expr":{"type":"numeric_atoms","value":1126,"base":4}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"numeric_atoms","value":1632,"base":4},"right_expr":{"type":"numeric_atoms","value":3308,"base":4}}}}},"used_operators":["G9tJMlZ94a","JxwMv5le6e","USyYr0JgAa","i8ToyICDmI","9samAPKr6k","61wBmkZwlr","1aApVXNlOP"],"dependent_operators":["k8jYdgA6NY","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","tifHPKVTfV","W4YGzv6Whe","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","7j4O788W3g","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3393","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=3393, right_input=2676, 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 = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=180","layer":2},{"info":"number node, value=1126","layer":4},{"info":"compute unary expreesion, input=1126, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1126","layer":3},{"info":"number node, value=1632","layer":4},{"info":"number node, value=3308","layer":4},{"info":"compute binary expreesion, left_input=1632, right_input=3308, 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=2149","layer":3},{"info":"compute binary expreesion, left_input=1126, right_input=2149, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=180, right_input=0, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇨(⪹(⪩⨒∯311001∲⫓⪩⨒∯221310))⨼⩣(≋⪩⨒∯101212)⨽∌(⪩⨒∯121200⩇∃⫛⪩⨒∯303230)=NaN","reverse_text":"NaN=⇨(⪹(⪩⨒∯311001∲⫓⪩⨒∯221310))⨼⩣(≋⪩⨒∯101212)⨽∌(⪩⨒∯121200⩇∃⫛⪩⨒∯303230)","cot":[{"info":"⪩⨒∯311001∲⫓⪩⨒∯221310=⪩⨒∯0","layer":3},{"info":"⪹⪩⨒∯0=⪩⨒∯2310","layer":2},{"info":"≋⪩⨒∯101212=⪩⨒∯101212","layer":3},{"info":"⪩⨒∯121200⩇∃⫛⪩⨒∯303230=⪩⨒∯201211","layer":3},{"info":"⪩⨒∯101212⨽∌⪩⨒∯201211=⪩⨒∯0","layer":2},{"info":"⪩⨒∯2310⨼⩣⪩⨒∯0=NaN","layer":1},{"info":"⇨NaN=NaN","layer":0}]}
{"id":860,"expression_no_base_symbol":"⨩∲⋌(∤$5044$↞⋁$5416$)∺≝⩲($1386$↓$3652$)≁($4315$⩵∡$6990$)","expression":"⨩∲⋌(∤⪩⨒∯1032310↞⋁⪩⨒∯1110220)∺≝⩲(⪩⨒∯111222↓⪩⨒∯321010)≁(⪩⨒∯1003123⩵∡⪩⨒∯1231032)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":51711,"operation_count":7,"complexity_ratio":7387.285714285715,"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":5044,"base":4},"right_expr":{"type":"numeric_atoms","value":5416,"base":4}}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1386,"base":4},"right_expr":{"type":"numeric_atoms","value":3652,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":4315,"base":4},"right_expr":{"type":"numeric_atoms","value":6990,"base":4}}}}},"used_operators":["aSik1wnThz","KPf6cnQVty","k2HlF1dBQh","RqrPlJkxDo","8N2wDY1A35","Af076pWI7l","Y7wcNGrDQJ"],"dependent_operators":["rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","NTOWxs364D","glklzrTFfD","tifHPKVTfV"],"result":"⪩⨒∯12031","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5044","layer":4},{"info":"number node, value=5416","layer":4},{"info":"compute binary expreesion, left_input=5044, right_input=5416, 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 = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=nan","layer":2},{"info":"number node, value=1386","layer":4},{"info":"number node, value=3652","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=3652, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=4315","layer":4},{"info":"number node, value=6990","layer":4},{"info":"compute binary expreesion, left_input=4315, right_input=6990, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1761","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-1761, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-59797","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-59797, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":1},{"info":"compute unary expreesion, input=160, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=397","layer":0}],"base":4,"result_base":4,"text":"⨩∲⋌(∤⪩⨒∯1032310↞⋁⪩⨒∯1110220)∺≝⩲(⪩⨒∯111222↓⪩⨒∯321010)≁(⪩⨒∯1003123⩵∡⪩⨒∯1231032)=⪩⨒∯12031","reverse_text":"⪩⨒∯12031=⨩∲⋌(∤⪩⨒∯1032310↞⋁⪩⨒∯1110220)∺≝⩲(⪩⨒∯111222↓⪩⨒∯321010)≁(⪩⨒∯1003123⩵∡⪩⨒∯1231032)","cot":[{"info":"⪩⨒∯1032310↞⋁⪩⨒∯1110220=NaN","layer":3},{"info":"∤NaN=NaN","layer":2},{"info":"⪩⨒∯111222↓⪩⨒∯321010=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯1003123⩵∡⪩⨒∯1231032=⪩⨒∯-123201","layer":3},{"info":"⪩⨒∯-2012≁⪩⨒∯-123201=⪩⨒∯-32212111","layer":2},{"info":"NaN∺≝⩲⪩⨒∯-32212111=⪩⨒∯2200","layer":1},{"info":"⨩∲⋌⪩⨒∯2200=⪩⨒∯12031","layer":0}]}
{"id":861,"expression_no_base_symbol":"(⊙↵-((⇘$3565$)⫰⋱($3510$⩹$1112$)))⊋≦⊧(⨮↦↱($2782$⋾⨃∁$1552$≚⋢))","expression":"(⊙↵-((⇘⪩⨒∯313231)⫰⋱(⪩⨒∯312312⩹⪩⨒∯101120)))⊋≦⊧(⨮↦↱(⪩⨒∯223132⋾⨃∁⪩⨒∯120100≚⋢))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":217692,"operation_count":8,"complexity_ratio":27211.5,"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":3565,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":3510,"base":4},"right_expr":{"type":"numeric_atoms","value":1112,"base":4}}}},"right_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":2782,"base":4},"right_expr":{"type":"numeric_atoms","value":1552,"base":4}}}}},"used_operators":["oRDoc9rAEX","oWn0xqSxBt","6o9Blt3TJ6","MGuIdZPyUC","2Wsdkap16l","sYcpBQ0cFf","MahUMFw56D","212REbPD9h"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","3ViojmjbAp","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE"],"result":"⪩⨒∯11121100320","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3565","layer":4},{"info":"compute unary expreesion, input=3565, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=208282","layer":3},{"info":"number node, value=3510","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=3510, right_input=1112, 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=1110","layer":3},{"info":"compute binary expreesion, left_input=208282, right_input=1110, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-208249","layer":2},{"info":"compute unary expreesion, input=-208249, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"number node, value=2782","layer":4},{"info":"number node, value=1552","layer":4},{"info":"compute binary expreesion, left_input=2782, right_input=1552, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=24068322","layer":3},{"info":"compute unary expreesion, input=24068322, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":2},{"info":"compute unary expreesion, input=-89, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-706980","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=-706980, 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=1414200","layer":0}],"base":4,"result_base":4,"text":"(⊙↵-((⇘⪩⨒∯313231)⫰⋱(⪩⨒∯312312⩹⪩⨒∯101120)))⊋≦⊧(⨮↦↱(⪩⨒∯223132⋾⨃∁⪩⨒∯120100≚⋢))=⪩⨒∯11121100320","reverse_text":"⪩⨒∯11121100320=(⊙↵-((⇘⪩⨒∯313231)⫰⋱(⪩⨒∯312312⩹⪩⨒∯101120)))⊋≦⊧(⨮↦↱(⪩⨒∯223132⋾⨃∁⪩⨒∯120100≚⋢))","cot":[{"info":"⇘⪩⨒∯313231=⪩⨒∯302312122","layer":3},{"info":"⪩⨒∯312312⩹⪩⨒∯101120=⪩⨒∯101112","layer":3},{"info":"⪩⨒∯302312122⫰⋱⪩⨒∯101112=⪩⨒∯-302311321","layer":2},{"info":"⊙↵-⪩⨒∯-302311321=⪩⨒∯3010","layer":1},{"info":"⪩⨒∯223132⋾⨃∁⪩⨒∯120100=⪩⨒∯1123310003202","layer":3},{"info":"⪩⨒∯1123310003202≚⋢=⪩⨒∯-1121","layer":2},{"info":"⨮↦↱⪩⨒∯-1121=⪩⨒∯-2230212210","layer":1},{"info":"⪩⨒∯3010⊋≦⊧⪩⨒∯-2230212210=⪩⨒∯11121100320","layer":0}]}
{"id":862,"expression_no_base_symbol":"($3102$≦↸$6312$↫)⪇≇⋚(($2734$≦≮≮)⨽⪊≇)⊋≦⊧(↓⇌(≸($2375$≀⫉$2138$)))","expression":"(⪩⨒∯300132≦↸⪩⨒∯1202220↫)⪇≇⋚((⪩⨒∯222232≦≮≮)⨽⪊≇)⊋≦⊧(↓⇌(≸(⪩⨒∯211013≀⫉⪩⨒∯201122)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":289,"operation_count":9,"complexity_ratio":32.111111111111114,"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":3102,"base":4},"right_expr":{"type":"numeric_atoms","value":6312,"base":4}}},"right_expr":{"type":"unary","operator":"⨽⪊≇","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2734,"base":4}}}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":2375,"base":4},"right_expr":{"type":"numeric_atoms","value":2138,"base":4}}}}},"used_operators":["oRDoc9rAEX","3sJ7IOPOlU","uPb5QRN0te","RygbFNSyEJ","nlCqmYiOvY","D4vGDi5EA2","PxpmPgHHJV","eOf03JbCpp","oZj3VtZNQx"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","i8ToyICDmI","2DQ55sFlQl","t8gj7n24qd","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","W4YGzv6Whe","sdazOOVcIp","XIabStNQrY","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz"],"result":"⪩⨒∯3000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3102","layer":4},{"info":"number node, value=6312","layer":4},{"info":"compute binary expreesion, left_input=3102, right_input=6312, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-18147","layer":3},{"info":"compute unary expreesion, input=-18147, op_id = uPb5QRN0te, unary_op_definition = 'a↫ = { (a∲⫓a) , if (-a)>=333 ; (a⨵⪆a) , else }', output=-18147","layer":2},{"info":"number node, value=2734","layer":4},{"info":"compute unary expreesion, input=2734, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8202","layer":3},{"info":"compute unary expreesion, input=-8202, op_id = nlCqmYiOvY, unary_op_definition = 'a⨽⪊≇ = { ((a⇋≉)⪨≂(a+216)) }', output=-16930","layer":2},{"info":"compute binary expreesion, left_input=-18147, right_input=-16930, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":1},{"info":"number node, value=2375","layer":4},{"info":"number node, value=2138","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=2138, 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 = 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 = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=58","layer":1},{"info":"compute binary expreesion, left_input=0, 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=192","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯300132≦↸⪩⨒∯1202220↫)⪇≇⋚((⪩⨒∯222232≦≮≮)⨽⪊≇)⊋≦⊧(↓⇌(≸(⪩⨒∯211013≀⫉⪩⨒∯201122)))=⪩⨒∯3000","reverse_text":"⪩⨒∯3000=(⪩⨒∯300132≦↸⪩⨒∯1202220↫)⪇≇⋚((⪩⨒∯222232≦≮≮)⨽⪊≇)⊋≦⊧(↓⇌(≸(⪩⨒∯211013≀⫉⪩⨒∯201122)))","cot":[{"info":"⪩⨒∯300132≦↸⪩⨒∯1202220=⪩⨒∯-10123203","layer":3},{"info":"⪩⨒∯-10123203↫=⪩⨒∯-10123203","layer":2},{"info":"⪩⨒∯222232≦≮≮=⪩⨒∯-2000022","layer":3},{"info":"⪩⨒∯-2000022⨽⪊≇=⪩⨒∯-10020202","layer":2},{"info":"⪩⨒∯-10123203⪇≇⋚⪩⨒∯-10020202=⪩⨒∯0","layer":1},{"info":"⪩⨒∯211013≀⫉⪩⨒∯201122=⪩⨒∯230012","layer":3},{"info":"≸⪩⨒∯230012=⪩⨒∯322","layer":2},{"info":"↓⇌⪩⨒∯322=⪩⨒∯322","layer":1},{"info":"⪩⨒∯0⊋≦⊧⪩⨒∯322=⪩⨒∯3000","layer":0}]}
{"id":863,"expression_no_base_symbol":"(($7495$∇⊂⋱$1011$)≎⪠($1069$⫣⪄⊒$6471$)⪭(($1508$⨲∙)⫔⩽⩺$2139$⩍⋽⫝̸$4346$))⫯⪬∳(($3232$⩁⩘$2413$⪔$2066$≁↽≥$2343$)⫿)","expression":"((⪩⨒∯1311013∇⊂⋱⪩⨒∯33303)≎⪠(⪩⨒∯100231⫣⪄⊒⪩⨒∯1211013)⪭((⪩⨒∯113210⨲∙)⫔⩽⩺⪩⨒∯201123⩍⋽⫝̸⪩⨒∯1003322))⫯⪬∳((⪩⨒∯302200⩁⩘⪩⨒∯211231⪔⪩⨒∯200102≁↽≥⪩⨒∯210213)⫿)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":51810,"operation_count":12,"complexity_ratio":4317.5,"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":7495,"base":4},"right_expr":{"type":"numeric_atoms","value":1011,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1069,"base":4},"right_expr":{"type":"numeric_atoms","value":6471,"base":4}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"unary","operator":"⨲∙","unary_expr":{"type":"numeric_atoms","value":1508,"base":4}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2139,"base":4},"right_expr":{"type":"numeric_atoms","value":4346,"base":4}}}},"right_expr":{"type":"unary","operator":"⫿","unary_expr":{"type":"binary","operator":"⪔","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3232,"base":4},"right_expr":{"type":"numeric_atoms","value":2413,"base":4}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":2066,"base":4},"right_expr":{"type":"numeric_atoms","value":2343,"base":4}}}}},"used_operators":["d7ASUq0ydm","j9kHMeSvPp","aNhz54LH3e","nhYeJWJD5X","RabNbG55vr","i9eR4S00cU","cRahaglYVE","BiWNJpBvwn","9tKT6PmtkH","GjBEYRfMaF","gub5Cegaqo","ncHt1X6cMc"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","COABgblf1C","xUOZtlo3hN","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Tw270M8GLb","fu6greOZ01","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","Ph9nP6C5qx","xUOZtlo3hN","DpFCA1CohY","9ICcGScMcE","f6k1SAg4EE","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","DpFCA1CohY","IWmyXbctLI","oWn0xqSxBt","3Oe9XWJUTD"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7495","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=7495, right_input=1011, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=14444","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=6471","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=6471, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-37200","layer":3},{"info":"compute binary expreesion, left_input=14444, right_input=-37200, 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=1508","layer":4},{"info":"compute unary expreesion, input=1508, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=18564326","layer":3},{"info":"number node, value=2139","layer":4},{"info":"number node, value=4346","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=4346, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3400","layer":3},{"info":"compute binary expreesion, left_input=18564326, right_input=3400, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=nan","layer":1},{"info":"number node, value=3232","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=3232, right_input=2413, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=10600","layer":3},{"info":"number node, value=2066","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=2343, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=32016","layer":3},{"info":"compute binary expreesion, left_input=10600, right_input=32016, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"compute unary expreesion, input=450, op_id = 9tKT6PmtkH, unary_op_definition = 'a⫿ = { (≦∁a) , if (⋗⩬⋾a)<1 ; (a⪒a) , else }', output=450","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=450, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1311013∇⊂⋱⪩⨒∯33303)≎⪠(⪩⨒∯100231⫣⪄⊒⪩⨒∯1211013)⪭((⪩⨒∯113210⨲∙)⫔⩽⩺⪩⨒∯201123⩍⋽⫝̸⪩⨒∯1003322))⫯⪬∳((⪩⨒∯302200⩁⩘⪩⨒∯211231⪔⪩⨒∯200102≁↽≥⪩⨒∯210213)⫿)=NaN","reverse_text":"NaN=((⪩⨒∯1311013∇⊂⋱⪩⨒∯33303)≎⪠(⪩⨒∯100231⫣⪄⊒⪩⨒∯1211013)⪭((⪩⨒∯113210⨲∙)⫔⩽⩺⪩⨒∯201123⩍⋽⫝̸⪩⨒∯1003322))⫯⪬∳((⪩⨒∯302200⩁⩘⪩⨒∯211231⪔⪩⨒∯200102≁↽≥⪩⨒∯210213)⫿)","cot":[{"info":"⪩⨒∯1311013∇⊂⋱⪩⨒∯33303=⪩⨒∯3201230","layer":3},{"info":"⪩⨒∯100231⫣⪄⊒⪩⨒∯1211013=⪩⨒∯-21011100","layer":3},{"info":"⪩⨒∯3201230≎⪠⪩⨒∯-21011100=⪩⨒∯10301212","layer":2},{"info":"⪩⨒∯113210⨲∙=⪩⨒∯1012310103212","layer":3},{"info":"⪩⨒∯201123⩍⋽⫝̸⪩⨒∯1003322=⪩⨒∯311020","layer":3},{"info":"⪩⨒∯1012310103212⫔⩽⩺⪩⨒∯311020=NaN","layer":2},{"info":"⪩⨒∯10301212⪭NaN=NaN","layer":1},{"info":"⪩⨒∯302200⩁⩘⪩⨒∯211231=⪩⨒∯2211220","layer":3},{"info":"⪩⨒∯200102≁↽≥⪩⨒∯210213=⪩⨒∯13310100","layer":3},{"info":"⪩⨒∯2211220⪔⪩⨒∯13310100=⪩⨒∯13002","layer":2},{"info":"⪩⨒∯13002⫿=⪩⨒∯13002","layer":1},{"info":"NaN⫯⪬∳⪩⨒∯13002=NaN","layer":0}]}
{"id":864,"expression_no_base_symbol":"(⋼∭⪍($1308$⊲⩕⊾$2564$⇷($6612$∝$6853$)))↹⊜((⋼∭⪍$5208$)≀⩗∶$2771$⊔$2395$)⩦($6042$⫁$5514$⪊≅)","expression":"(⋼∭⪍(⪩⨒∯110130⊲⩕⊾⪩⨒∯220010⇷(⪩⨒∯1213110∝⪩⨒∯1223011)))↹⊜((⋼∭⪍⪩⨒∯1101120)≀⩗∶⪩⨒∯223103⊔⪩⨒∯211123)⩦(⪩⨒∯1132122⫁⪩⨒∯1112022⪊≅)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":605009,"operation_count":11,"complexity_ratio":55000.818181818184,"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":1308,"base":4},"right_expr":{"type":"numeric_atoms","value":2564,"base":4}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":6612,"base":4},"right_expr":{"type":"numeric_atoms","value":6853,"base":4}}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":5208,"base":4}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":2771,"base":4},"right_expr":{"type":"numeric_atoms","value":2395,"base":4}}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":6042,"base":4},"right_expr":{"type":"numeric_atoms","value":5514,"base":4}}}}},"used_operators":["9bazX3JMtO","DbCuESL50I","mp7IySMOzn","DmTXOeWf9t","cTDWOvIxvz","0kmYd0q39Y","8INZBEW696","E4l6HwMY31","bjFbhXSADs","0ajvFaJAv0"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","cHh1gJQ2o6","AHs5Up7iyr"],"result":"⪩⨒∯-2100","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1308","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=2564, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-43198","layer":3},{"info":"number node, value=6612","layer":4},{"info":"number node, value=6853","layer":4},{"info":"compute binary expreesion, left_input=6612, right_input=6853, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=6617","layer":3},{"info":"compute binary expreesion, left_input=-43198, right_input=6617, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13234","layer":2},{"info":"compute unary expreesion, input=13234, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-51196","layer":1},{"info":"number node, value=5208","layer":4},{"info":"compute unary expreesion, input=5208, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-19092","layer":3},{"info":"number node, value=2771","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=2771, right_input=2395, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=15117","layer":3},{"info":"compute binary expreesion, left_input=-19092, right_input=15117, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=3","layer":2},{"info":"number node, value=6042","layer":4},{"info":"number node, value=5514","layer":4},{"info":"compute binary expreesion, left_input=6042, right_input=5514, 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 = bjFbhXSADs, unary_op_definition = 'a⪊≅ = { (377⪠⩆⊳) , if (a⊭↱876)>=867 ; (a⨳⩥⨓a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=0, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6","layer":1},{"info":"compute binary expreesion, left_input=-51196, right_input=6, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-144","layer":0}],"base":4,"result_base":4,"text":"(⋼∭⪍(⪩⨒∯110130⊲⩕⊾⪩⨒∯220010⇷(⪩⨒∯1213110∝⪩⨒∯1223011)))↹⊜((⋼∭⪍⪩⨒∯1101120)≀⩗∶⪩⨒∯223103⊔⪩⨒∯211123)⩦(⪩⨒∯1132122⫁⪩⨒∯1112022⪊≅)=⪩⨒∯-2100","reverse_text":"⪩⨒∯-2100=(⋼∭⪍(⪩⨒∯110130⊲⩕⊾⪩⨒∯220010⇷(⪩⨒∯1213110∝⪩⨒∯1223011)))↹⊜((⋼∭⪍⪩⨒∯1101120)≀⩗∶⪩⨒∯223103⊔⪩⨒∯211123)⩦(⪩⨒∯1132122⫁⪩⨒∯1112022⪊≅)","cot":[{"info":"⪩⨒∯110130⊲⩕⊾⪩⨒∯220010=⪩⨒∯-22202332","layer":3},{"info":"⪩⨒∯1213110∝⪩⨒∯1223011=⪩⨒∯1213121","layer":3},{"info":"⪩⨒∯-22202332⇷⪩⨒∯1213121=⪩⨒∯3032302","layer":2},{"info":"⋼∭⪍⪩⨒∯3032302=⪩⨒∯-30133330","layer":1},{"info":"⋼∭⪍⪩⨒∯1101120=⪩⨒∯-10222110","layer":3},{"info":"⪩⨒∯223103⊔⪩⨒∯211123=⪩⨒∯3230031","layer":3},{"info":"⪩⨒∯-10222110≀⩗∶⪩⨒∯3230031=⪩⨒∯3","layer":2},{"info":"⪩⨒∯1132122⫁⪩⨒∯1112022=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯2200⪊≅=⪩⨒∯0","layer":2},{"info":"⪩⨒∯3⩦⪩⨒∯0=⪩⨒∯12","layer":1},{"info":"⪩⨒∯-30133330↹⊜⪩⨒∯12=⪩⨒∯-2100","layer":0}]}
{"id":865,"expression_no_base_symbol":"(($1712$⇌⫙⪟$1789$)⩁⩘($3696$⇞)⪪($7720$⨰$2354$)⫁⪎($2495$⨵⪆$3727$))⫯⪬∳(($3405$≎⪠$1336$⊋≦⊧$6066$⨐$1685$)⇷(∐⩳⋚$1024$)∊∟⩊($8047$⊦⊿))","expression":"((⪩⨒∯122300⇌⫙⪟⪩⨒∯123331)⩁⩘(⪩⨒∯321300⇞)⪪(⪩⨒∯1320220⨰⪩⨒∯210302)⫁⪎(⪩⨒∯212333⨵⪆⪩⨒∯322033))⫯⪬∳((⪩⨒∯311031≎⪠⪩⨒∯110320⊋≦⊧⪩⨒∯1132302⨐⪩⨒∯122111)⇷(∐⩳⋚⪩⨒∯100000)∊∟⩊(⪩⨒∯1331233⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":541789,"operation_count":15,"complexity_ratio":36119.26666666667,"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":1712,"base":4},"right_expr":{"type":"numeric_atoms","value":1789,"base":4}},"right_expr":{"type":"unary","operator":"⇞","unary_expr":{"type":"numeric_atoms","value":3696,"base":4}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7720,"base":4},"right_expr":{"type":"numeric_atoms","value":2354,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2495,"base":4},"right_expr":{"type":"numeric_atoms","value":3727,"base":4}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"numeric_atoms","value":3405,"base":4},"right_expr":{"type":"numeric_atoms","value":1336,"base":4}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":6066,"base":4},"right_expr":{"type":"numeric_atoms","value":1685,"base":4}}},"right_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":1024,"base":4}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":8047,"base":4}}}}},"used_operators":["d7ASUq0ydm","xD69zh8xqp","gub5Cegaqo","AFVx7xoS7T","5JYyxRJd4f","xRrnTEsQ6j","eewbuw0ToL","2DQ55sFlQl","mp7IySMOzn","oRDoc9rAEX","aNhz54LH3e","Noe24qw2ks","ddLRYrp01A","SL6IHkK8vl","14qkJME0vr"],"dependent_operators":["Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","FU0Cs4j7VP","JclMnS0uGI","DpFCA1CohY","IWmyXbctLI","DpFCA1CohY","DZ8iAZOCBD","tifHPKVTfV","2DQ55sFlQl","12rbrZMWeM","xUOZtlo3hN","eewbuw0ToL","9FxExcQeMw","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯1213023210022","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1712","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=1712, right_input=1789, 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":"number node, value=3696","layer":4},{"info":"compute unary expreesion, input=3696, op_id = 5JYyxRJd4f, unary_op_definition = 'a⇞ = { (a≧⫂∧((a⩷∴a)⨸⪁(a-a))) , if a<7 ; ((⨞⊢(a∲⫓a))⫡⨏(a⊉≛↸(a⇼⇔∾a))) , else }', output=14697","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=14697, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=59736","layer":2},{"info":"number node, value=7720","layer":4},{"info":"number node, value=2354","layer":4},{"info":"compute binary expreesion, left_input=7720, right_input=2354, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5376","layer":3},{"info":"number node, value=2495","layer":4},{"info":"number node, value=3727","layer":4},{"info":"compute binary expreesion, left_input=2495, right_input=3727, 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=5376, right_input=160, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=5216","layer":2},{"info":"compute binary expreesion, left_input=59736, right_input=5216, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-9016225","layer":1},{"info":"number node, value=3405","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=3405, right_input=1336, 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=6066","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=6066, right_input=1685, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-12132","layer":3},{"info":"compute binary expreesion, left_input=19558, right_input=-12132, 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=24504","layer":2},{"info":"number node, value=1024","layer":4},{"info":"compute unary expreesion, input=1024, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=136241","layer":3},{"info":"number node, value=8047","layer":4},{"info":"compute unary expreesion, input=8047, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-24220","layer":3},{"info":"compute binary expreesion, left_input=136241, right_input=-24220, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-24220","layer":2},{"info":"compute binary expreesion, left_input=24504, right_input=-24220, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9016225, right_input=nan, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=27048202","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯122300⇌⫙⪟⪩⨒∯123331)⩁⩘(⪩⨒∯321300⇞)⪪(⪩⨒∯1320220⨰⪩⨒∯210302)⫁⪎(⪩⨒∯212333⨵⪆⪩⨒∯322033))⫯⪬∳((⪩⨒∯311031≎⪠⪩⨒∯110320⊋≦⊧⪩⨒∯1132302⨐⪩⨒∯122111)⇷(∐⩳⋚⪩⨒∯100000)∊∟⩊(⪩⨒∯1331233⊦⊿))=⪩⨒∯1213023210022","reverse_text":"⪩⨒∯1213023210022=((⪩⨒∯122300⇌⫙⪟⪩⨒∯123331)⩁⩘(⪩⨒∯321300⇞)⪪(⪩⨒∯1320220⨰⪩⨒∯210302)⫁⪎(⪩⨒∯212333⨵⪆⪩⨒∯322033))⫯⪬∳((⪩⨒∯311031≎⪠⪩⨒∯110320⊋≦⊧⪩⨒∯1132302⨐⪩⨒∯122111)⇷(∐⩳⋚⪩⨒∯100000)∊∟⩊(⪩⨒∯1331233⊦⊿))","cot":[{"info":"⪩⨒∯122300⇌⫙⪟⪩⨒∯123331=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯321300⇞=⪩⨒∯3211221","layer":3},{"info":"⪩⨒∯1301⩁⩘⪩⨒∯3211221=⪩⨒∯32211120","layer":2},{"info":"⪩⨒∯1320220⨰⪩⨒∯210302=⪩⨒∯1110000","layer":3},{"info":"⪩⨒∯212333⨵⪆⪩⨒∯322033=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1110000⫁⪎⪩⨒∯2200=⪩⨒∯1101200","layer":2},{"info":"⪩⨒∯32211120⪪⪩⨒∯1101200=⪩⨒∯-202121032201","layer":1},{"info":"⪩⨒∯311031≎⪠⪩⨒∯110320=⪩⨒∯10301212","layer":3},{"info":"⪩⨒∯1132302⨐⪩⨒∯122111=⪩⨒∯-2331210","layer":3},{"info":"⪩⨒∯10301212⊋≦⊧⪩⨒∯-2331210=⪩⨒∯11332320","layer":2},{"info":"∐⩳⋚⪩⨒∯100000=⪩⨒∯201100301","layer":3},{"info":"⪩⨒∯1331233⊦⊿=⪩⨒∯-11322130","layer":3},{"info":"⪩⨒∯201100301∊∟⩊⪩⨒∯-11322130=⪩⨒∯-11322130","layer":2},{"info":"⪩⨒∯11332320⇷⪩⨒∯-11322130=NaN","layer":1},{"info":"⪩⨒∯-202121032201⫯⪬∳NaN=⪩⨒∯1213023210022","layer":0}]}
{"id":866,"expression_no_base_symbol":"(⇁⨣⪵$5590$)⫗⊷⫓($2797$≬⋮$3589$)⨔⇊(($7095$⊴⇁⪶)⨚⇆$8195$⨪↰⇹$1356$)≑≱⪘","expression":"(⇁⨣⪵⪩⨒∯1113112)⫗⊷⫓(⪩⨒∯223231≬⋮⪩⨒∯320011)⨔⇊((⪩⨒∯1232313⊴⇁⪶)⨚⇆⪩⨒∯2000003⨪↰⇹⪩⨒∯111030)≑≱⪘","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1141950,"operation_count":8,"complexity_ratio":142743.75,"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":5590,"base":4}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"numeric_atoms","value":2797,"base":4},"right_expr":{"type":"numeric_atoms","value":3589,"base":4}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":7095,"base":4}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8195,"base":4},"right_expr":{"type":"numeric_atoms","value":1356,"base":4}}}}},"used_operators":["tGSeddj7UK","JclMnS0uGI","zashukvMKz","inkyxCbjAn","kbkesczE7y","lwHaAYXP2r","oo9mF6JIpo","tmPS8pqC7x"],"dependent_operators":["9FxExcQeMw","9bazX3JMtO","RygbFNSyEJ","VwlE7vj6HS","v0DYgG9ikt","eRqsBgTDFp","6MpZysEj17","8w2t5hMYqp","Ph9nP6C5qx","DmTXOeWf9t","8HhzD0ZcuI","BiWNJpBvwn","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","B5M0gjZbta","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5590","layer":4},{"info":"compute unary expreesion, input=5590, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2797","layer":4},{"info":"number node, value=3589","layer":4},{"info":"compute binary expreesion, left_input=2797, right_input=3589, 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 = 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=7095","layer":4},{"info":"compute unary expreesion, input=7095, 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=148412","layer":3},{"info":"number node, value=8195","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=8195, right_input=1356, 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=8195","layer":3},{"info":"compute binary expreesion, left_input=148412, right_input=8195, 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 binary expreesion, left_input=-134, 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":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":4,"result_base":4,"text":"(⇁⨣⪵⪩⨒∯1113112)⫗⊷⫓(⪩⨒∯223231≬⋮⪩⨒∯320011)⨔⇊((⪩⨒∯1232313⊴⇁⪶)⨚⇆⪩⨒∯2000003⨪↰⇹⪩⨒∯111030)≑≱⪘=NaN","reverse_text":"NaN=(⇁⨣⪵⪩⨒∯1113112)⫗⊷⫓(⪩⨒∯223231≬⋮⪩⨒∯320011)⨔⇊((⪩⨒∯1232313⊴⇁⪶)⨚⇆⪩⨒∯2000003⨪↰⇹⪩⨒∯111030)≑≱⪘","cot":[{"info":"⇁⨣⪵⪩⨒∯1113112=NaN","layer":3},{"info":"⪩⨒∯223231≬⋮⪩⨒∯320011=⪩⨒∯31210","layer":3},{"info":"NaN⫗⊷⫓⪩⨒∯31210=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯1232313⊴⇁⪶=⪩⨒∯210032330","layer":3},{"info":"⪩⨒∯2000003⨪↰⇹⪩⨒∯111030=⪩⨒∯2000003","layer":3},{"info":"⪩⨒∯210032330⨚⇆⪩⨒∯2000003=NaN","layer":2},{"info":"⪩⨒∯-2012⨔⇊NaN=NaN","layer":1},{"info":"NaN≑≱⪘=NaN","layer":0}]}
{"id":867,"expression_no_base_symbol":"⇵⪽((($5382$⪛⫼$1993$)≌(⊆⋠$1227$))⇻⋧≁(($3074$↱$9070$)⩟))","expression":"⇵⪽(((⪩⨒∯1110012⪛⫼⪩⨒∯133021)≌(⊆⋠⪩⨒∯103023))⇻⋧≁((⪩⨒∯300002↱⪩⨒∯2031232)⩟))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":209323,"operation_count":7,"complexity_ratio":29903.285714285714,"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":5382,"base":4},"right_expr":{"type":"numeric_atoms","value":1993,"base":4}},"right_expr":{"type":"unary","operator":"⊆⋠","unary_expr":{"type":"numeric_atoms","value":1227,"base":4}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":3074,"base":4},"right_expr":{"type":"numeric_atoms","value":9070,"base":4}}}}},"used_operators":["ZGCBLdVRRX","jCPkEVoL5K","lyWz822IDG","hyuBjUqXlG","EBhcHTkKd8","fOIeswaMU4","SR5kFfdi6N"],"dependent_operators":["U7g4x0WXJJ","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","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","YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5382","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=5382, right_input=1993, 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=1227","layer":4},{"info":"compute unary expreesion, input=1227, 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=968, 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=3074","layer":4},{"info":"number node, value=9070","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=9070, 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=-26688","layer":3},{"info":"compute unary expreesion, input=-26688, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=241419","layer":2},{"info":"compute binary expreesion, left_input=9080, right_input=241419, 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 = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⇵⪽(((⪩⨒∯1110012⪛⫼⪩⨒∯133021)≌(⊆⋠⪩⨒∯103023))⇻⋧≁((⪩⨒∯300002↱⪩⨒∯2031232)⩟))=NaN","reverse_text":"NaN=⇵⪽(((⪩⨒∯1110012⪛⫼⪩⨒∯133021)≌(⊆⋠⪩⨒∯103023))⇻⋧≁((⪩⨒∯300002↱⪩⨒∯2031232)⩟))","cot":[{"info":"⪩⨒∯1110012⪛⫼⪩⨒∯133021=⪩⨒∯33020","layer":3},{"info":"⊆⋠⪩⨒∯103023=⪩⨒∯0","layer":3},{"info":"⪩⨒∯33020≌⪩⨒∯0=⪩⨒∯2031320","layer":2},{"info":"⪩⨒∯300002↱⪩⨒∯2031232=⪩⨒∯-12201000","layer":3},{"info":"⪩⨒∯-12201000⩟=⪩⨒∯322330023","layer":2},{"info":"⪩⨒∯2031320⇻⋧≁⪩⨒∯322330023=⪩⨒∯-12333","layer":1},{"info":"⇵⪽⪩⨒∯-12333=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"$2800$⋾⨃∁$1452$⇴($1571$⪄$1835$)⪶≀⋏($6552$⇋≉)↢($1544$⪥$7435$)∈","expression":"⪩⨒∯223300⋾⨃∁⪩⨒∯112230⇴(⪩⨒∯120203⪄⪩⨒∯130223)⪶≀⋏(⪩⨒∯1212120⇋≉)↢(⪩⨒∯120020⪥⪩⨒∯1310023)∈","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1655,"operation_count":8,"complexity_ratio":206.875,"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":2800,"base":4},"right_expr":{"type":"numeric_atoms","value":1452,"base":4}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1571,"base":4},"right_expr":{"type":"numeric_atoms","value":1835,"base":4}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":6552,"base":4}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":1544,"base":4},"right_expr":{"type":"numeric_atoms","value":7435,"base":4}}}}},"used_operators":["ztP7wcbY7m","zR4jO40bMj","4JB6nKBMSY","212REbPD9h","SUmda5xLS4","WR6HLWljOP","XIabStNQrY","QbnwKVWMIQ"],"dependent_operators":["rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","NTOWxs364D","COABgblf1C","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⪩⨒∯-1003203130101323","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2800","layer":4},{"info":"number node, value=1452","layer":4},{"info":"compute binary expreesion, left_input=2800, right_input=1452, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=21065522","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=1835, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-235937","layer":3},{"info":"compute binary expreesion, left_input=21065522, right_input=-235937, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=125920872","layer":2},{"info":"number node, value=6552","layer":4},{"info":"compute unary expreesion, input=6552, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=13006","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=7435","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=7435, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=10828","layer":3},{"info":"compute binary expreesion, left_input=13006, right_input=10828, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=12522","layer":2},{"info":"compute binary expreesion, left_input=125920872, right_input=12522, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-377787892","layer":1},{"info":"compute unary expreesion, input=-377787892, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=-1133364347","layer":0}],"base":4,"result_base":4,"text":"⪩⨒∯223300⋾⨃∁⪩⨒∯112230⇴(⪩⨒∯120203⪄⪩⨒∯130223)⪶≀⋏(⪩⨒∯1212120⇋≉)↢(⪩⨒∯120020⪥⪩⨒∯1310023)∈=⪩⨒∯-1003203130101323","reverse_text":"⪩⨒∯-1003203130101323=⪩⨒∯223300⋾⨃∁⪩⨒∯112230⇴(⪩⨒∯120203⪄⪩⨒∯130223)⪶≀⋏(⪩⨒∯1212120⇋≉)↢(⪩⨒∯120020⪥⪩⨒∯1310023)∈","cot":[{"info":"⪩⨒∯223300⋾⨃∁⪩⨒∯112230=⪩⨒∯1100112330302","layer":3},{"info":"⪩⨒∯120203⪄⪩⨒∯130223=⪩⨒∯-321212201","layer":3},{"info":"⪩⨒∯1100112330302⇴⪩⨒∯-321212201=⪩⨒∯13200112121220","layer":2},{"info":"⪩⨒∯1212120⇋≉=⪩⨒∯3023032","layer":3},{"info":"⪩⨒∯120020⪥⪩⨒∯1310023=⪩⨒∯2221030","layer":3},{"info":"⪩⨒∯3023032↢⪩⨒∯2221030=⪩⨒∯3003222","layer":2},{"info":"⪩⨒∯13200112121220⪶≀⋏⪩⨒∯3003222=⪩⨒∯-112201021113310","layer":1},{"info":"⪩⨒∯-112201021113310∈=⪩⨒∯-1003203130101323","layer":0}]}
{"id":869,"expression_no_base_symbol":"($1030$⪥$4397$⩍⋽⫝̸(≅≯⇸$1652$)⇄(⊁⨺$1583$)⨽∌(⨝⨆$1386$))⋥⋵⩄(($1174$⫳≱↱$2989$)⫗⊷⫓($1098$⪊≅)⩌⋺($4263$⪶≀⋏$1190$)⨑⩅≇($1425$∇⊂⋱$3438$))","expression":"(⪩⨒∯100012⪥⪩⨒∯1010231⩍⋽⫝̸(≅≯⇸⪩⨒∯121310)⇄(⊁⨺⪩⨒∯120233)⨽∌(⨝⨆⪩⨒∯111222))⋥⋵⩄((⪩⨒∯102112⫳≱↱⪩⨒∯232231)⫗⊷⫓(⪩⨒∯101022⪊≅)⩌⋺(⪩⨒∯1002213⪶≀⋏⪩⨒∯102212)⨑⩅≇(⪩⨒∯112101∇⊂⋱⪩⨒∯311232))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":88156,"operation_count":15,"complexity_ratio":5877.066666666667,"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":1030,"base":4},"right_expr":{"type":"numeric_atoms","value":4397,"base":4}},"right_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":1652,"base":4}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"numeric_atoms","value":1583,"base":4}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1386,"base":4}}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":1174,"base":4},"right_expr":{"type":"numeric_atoms","value":2989,"base":4}},"right_expr":{"type":"unary","operator":"⪊≅","unary_expr":{"type":"numeric_atoms","value":1098,"base":4}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"numeric_atoms","value":4263,"base":4},"right_expr":{"type":"numeric_atoms","value":1190,"base":4}},"right_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1425,"base":4},"right_expr":{"type":"numeric_atoms","value":3438,"base":4}}}}},"used_operators":["7t3wd0Fuz7","3EYGwJThht","BiWNJpBvwn","QbnwKVWMIQ","apS25hmuAe","9samAPKr6k","PxiHyQbrIp","bQ67fsrMVf","g7Hmc5v1ko","zashukvMKz","ZvLB05nZmT","bjFbhXSADs","h92wMvzauj","zR4jO40bMj","nhYeJWJD5X"],"dependent_operators":["IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","Ph9nP6C5qx","xUOZtlo3hN","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","EBcxylXtPf","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","tifHPKVTfV","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","COABgblf1C","JLbD19bQDL","nCS4ZIUYfx","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx"],"result":"⪩⨒∯1301","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1030","layer":4},{"info":"number node, value=4397","layer":4},{"info":"compute binary expreesion, left_input=1030, right_input=4397, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=8772","layer":3},{"info":"number node, value=1652","layer":4},{"info":"compute unary expreesion, input=1652, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=14285","layer":3},{"info":"compute binary expreesion, left_input=8772, right_input=14285, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=13339","layer":2},{"info":"number node, value=1583","layer":4},{"info":"compute unary expreesion, input=1583, 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=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=1177","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1177, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=13339, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"number node, value=1174","layer":4},{"info":"number node, value=2989","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=2989, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":3},{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, 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=-204, right_input=0, 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=4263","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=4263, right_input=1190, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-15401","layer":3},{"info":"number node, value=1425","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=3438, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=2304","layer":3},{"info":"compute binary expreesion, left_input=-15401, right_input=2304, 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=-134, right_input=-55, 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=68","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=68, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯100012⪥⪩⨒∯1010231⩍⋽⫝̸(≅≯⇸⪩⨒∯121310)⇄(⊁⨺⪩⨒∯120233)⨽∌(⨝⨆⪩⨒∯111222))⋥⋵⩄((⪩⨒∯102112⫳≱↱⪩⨒∯232231)⫗⊷⫓(⪩⨒∯101022⪊≅)⩌⋺(⪩⨒∯1002213⪶≀⋏⪩⨒∯102212)⨑⩅≇(⪩⨒∯112101∇⊂⋱⪩⨒∯311232))=⪩⨒∯1301","reverse_text":"⪩⨒∯1301=(⪩⨒∯100012⪥⪩⨒∯1010231⩍⋽⫝̸(≅≯⇸⪩⨒∯121310)⇄(⊁⨺⪩⨒∯120233)⨽∌(⨝⨆⪩⨒∯111222))⋥⋵⩄((⪩⨒∯102112⫳≱↱⪩⨒∯232231)⫗⊷⫓(⪩⨒∯101022⪊≅)⩌⋺(⪩⨒∯1002213⪶≀⋏⪩⨒∯102212)⨑⩅≇(⪩⨒∯112101∇⊂⋱⪩⨒∯311232))","cot":[{"info":"⪩⨒∯100012⪥⪩⨒∯1010231=⪩⨒∯2021010","layer":3},{"info":"≅≯⇸⪩⨒∯121310=⪩⨒∯3133031","layer":3},{"info":"⪩⨒∯2021010⩍⋽⫝̸⪩⨒∯3133031=⪩⨒∯3100123","layer":2},{"info":"⊁⨺⪩⨒∯120233=⪩⨒∯2200","layer":3},{"info":"⨝⨆⪩⨒∯111222=⪩⨒∯102121","layer":3},{"info":"⪩⨒∯2200⨽∌⪩⨒∯102121=⪩⨒∯0","layer":2},{"info":"⪩⨒∯3100123⇄⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯102112⫳≱↱⪩⨒∯232231=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯101022⪊≅=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-3030⫗⊷⫓⪩⨒∯0=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯1002213⪶≀⋏⪩⨒∯102212=⪩⨒∯-3300221","layer":3},{"info":"⪩⨒∯112101∇⊂⋱⪩⨒∯311232=⪩⨒∯210000","layer":3},{"info":"⪩⨒∯-3300221⨑⩅≇⪩⨒∯210000=⪩⨒∯-313","layer":2},{"info":"⪩⨒∯-2012⩌⋺⪩⨒∯-313=⪩⨒∯1010","layer":1},{"info":"⪩⨒∯0⋥⋵⩄⪩⨒∯1010=⪩⨒∯1301","layer":0}]}
{"id":870,"expression_no_base_symbol":"((↑($7007$⩷∴$1534$))⇼⇔∾($1542$∙∹∝$2676$/(∐⩳⋚$5538$)))⊕∕(⊑(⨮↦↱($3167$⊝⪿⪼$1240$)))","expression":"((↑(⪩⨒∯1231133⩷∴⪩⨒∯113332))⇼⇔∾(⪩⨒∯120012∙∹∝⪩⨒∯221310/(∐⩳⋚⪩⨒∯1112202)))⊕∕(⊑(⨮↦↱(⪩⨒∯301133⊝⪿⪼⪩⨒∯103120)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":48753,"operation_count":10,"complexity_ratio":4875.3,"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":7007,"base":4},"right_expr":{"type":"numeric_atoms","value":1534,"base":4}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":1542,"base":4},"right_expr":{"type":"numeric_atoms","value":2676,"base":4}},"right_expr":{"type":"unary","operator":"∐⩳⋚","unary_expr":{"type":"numeric_atoms","value":5538,"base":4}}}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"unary","operator":"⨮↦↱","unary_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":3167,"base":4},"right_expr":{"type":"numeric_atoms","value":1240,"base":4}}}}},"used_operators":["9cloC0Ngie","tifHPKVTfV","tR7O2zTn5j","9FxExcQeMw","XhwjNDsVaA","HmxsFra2vL","SL6IHkK8vl","IkUmn0D7oy","sYcpBQ0cFf","3Oe9XWJUTD"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","t8gj7n24qd","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","OKKcZfAt5B","WR6HLWljOP","umQnsF7QlU","8HhzD0ZcuI","BUOGQAYlQx","bx9Z9DAK5y","wztAlM01eG","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q"],"result":"⪩⨒∯-3000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7007","layer":4},{"info":"number node, value=1534","layer":4},{"info":"compute binary expreesion, left_input=7007, right_input=1534, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10914","layer":3},{"info":"compute unary expreesion, input=10914, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"number node, value=1542","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=2676, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=5538","layer":4},{"info":"compute unary expreesion, input=5538, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=817855","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=817855, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-192","layer":1},{"info":"number node, value=3167","layer":4},{"info":"number node, value=1240","layer":4},{"info":"compute binary expreesion, left_input=3167, right_input=1240, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=48535","layer":3},{"info":"compute unary expreesion, input=48535, op_id = sYcpBQ0cFf, unary_op_definition = '⨮↦↱a = { ((⇾⩊⇾a)⪕(a≝⊿a)) , if (↸⊣a)>398 ; ((a↢a)⨽(⋂a)) , else }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":1},{"info":"compute binary expreesion, left_input=-192, right_input=192, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-192","layer":0}],"base":4,"result_base":4,"text":"((↑(⪩⨒∯1231133⩷∴⪩⨒∯113332))⇼⇔∾(⪩⨒∯120012∙∹∝⪩⨒∯221310/(∐⩳⋚⪩⨒∯1112202)))⊕∕(⊑(⨮↦↱(⪩⨒∯301133⊝⪿⪼⪩⨒∯103120)))=⪩⨒∯-3000","reverse_text":"⪩⨒∯-3000=((↑(⪩⨒∯1231133⩷∴⪩⨒∯113332))⇼⇔∾(⪩⨒∯120012∙∹∝⪩⨒∯221310/(∐⩳⋚⪩⨒∯1112202)))⊕∕(⊑(⨮↦↱(⪩⨒∯301133⊝⪿⪼⪩⨒∯103120)))","cot":[{"info":"⪩⨒∯1231133⩷∴⪩⨒∯113332=⪩⨒∯2222202","layer":3},{"info":"↑⪩⨒∯2222202=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯120012∙∹∝⪩⨒∯221310=⪩⨒∯0","layer":3},{"info":"∐⩳⋚⪩⨒∯1112202=⪩⨒∯3013222333","layer":3},{"info":"⪩⨒∯0/⪩⨒∯3013222333=⪩⨒∯0","layer":2},{"info":"⪩⨒∯3000⇼⇔∾⪩⨒∯0=⪩⨒∯-3000","layer":1},{"info":"⪩⨒∯301133⊝⪿⪼⪩⨒∯103120=⪩⨒∯23312113","layer":3},{"info":"⨮↦↱⪩⨒∯23312113=-Inf","layer":2},{"info":"⊑-Inf=⪩⨒∯3000","layer":1},{"info":"⪩⨒∯-3000⊕∕⪩⨒∯3000=⪩⨒∯-3000","layer":0}]}
{"id":871,"expression_no_base_symbol":"((⫟$1839$)⫗⊷⫓($1272$⫚↹⊑$2978$)⪓⨏)⩺⪪(($1749$⩠)⪟⇏($1471$⊬⨰$1461$)∠⫱(↩⪖$1386$)≥⨤⩑$4771$⨂≜$2214$)","expression":"((⫟⪩⨒∯130233)⫗⊷⫓(⪩⨒∯103320⫚↹⊑⪩⨒∯232202)⪓⨏)⩺⪪((⪩⨒∯123111⩠)⪟⇏(⪩⨒∯112333⊬⨰⪩⨒∯112311)∠⫱(↩⪖⪩⨒∯111222)≥⨤⩑⪩⨒∯1022203⨂≜⪩⨒∯202212)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":92920,"operation_count":12,"complexity_ratio":7743.333333333333,"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":1839,"base":4}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":1272,"base":4},"right_expr":{"type":"numeric_atoms","value":2978,"base":4}}}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1749,"base":4}},"right_expr":{"type":"binary","operator":"⊬⨰","left_expr":{"type":"numeric_atoms","value":1471,"base":4},"right_expr":{"type":"numeric_atoms","value":1461,"base":4}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":1386,"base":4}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"numeric_atoms","value":4771,"base":4},"right_expr":{"type":"numeric_atoms","value":2214,"base":4}}}}},"used_operators":["uvdQJvN4PV","4X9JU4Jbn6","zashukvMKz","z4E1FaHLuy","dfKe02y8D2","QvoQhV0rrE","GODebY97qR","sJAwomhLZr","s3Fd5m9Dh2","gJLn6v0xnP","fG6uBQFnGz","k1SHOSEABc"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","gJLn6v0xnP","nOKPl9n5zu","W9R8I5fN5A","rxpJgHHUmx","inkyxCbjAn","z63VuFQld9","AcOhelriW5","3sJ7IOPOlU","CoMdbyAt7R","cHh1gJQ2o6","xlXykHWxX1","Nsiff2A1zJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1839","layer":4},{"info":"compute unary expreesion, input=1839, 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=-4610","layer":3},{"info":"number node, value=1272","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=2978, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-4610, right_input=-447, 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 unary expreesion, input=-134, 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=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=1461, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=6259","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6259, 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=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-11298","layer":3},{"info":"number node, value=4771","layer":4},{"info":"number node, value=2214","layer":4},{"info":"compute binary expreesion, left_input=4771, right_input=2214, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11298, right_input=nan, 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=0, right_input=1234, op_id = QvoQhV0rrE binary_op_definition= 'a∠⫱b = { ((⨑⩽⪐a)↺(617⊉≛↸a)) , if (≤/b)<=3 ; (b⇼⇔∾a) , else }', output=1234","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1234, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⫟⪩⨒∯130233)⫗⊷⫓(⪩⨒∯103320⫚↹⊑⪩⨒∯232202)⪓⨏)⩺⪪((⪩⨒∯123111⩠)⪟⇏(⪩⨒∯112333⊬⨰⪩⨒∯112311)∠⫱(↩⪖⪩⨒∯111222)≥⨤⩑⪩⨒∯1022203⨂≜⪩⨒∯202212)=NaN","reverse_text":"NaN=((⫟⪩⨒∯130233)⫗⊷⫓(⪩⨒∯103320⫚↹⊑⪩⨒∯232202)⪓⨏)⩺⪪((⪩⨒∯123111⩠)⪟⇏(⪩⨒∯112333⊬⨰⪩⨒∯112311)∠⫱(↩⪖⪩⨒∯111222)≥⨤⩑⪩⨒∯1022203⨂≜⪩⨒∯202212)","cot":[{"info":"⫟⪩⨒∯130233=⪩⨒∯-1020002","layer":3},{"info":"⪩⨒∯103320⫚↹⊑⪩⨒∯232202=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯-1020002⫗⊷⫓⪩⨒∯-12333=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯-2012⪓⨏=NaN","layer":1},{"info":"⪩⨒∯123111⩠=⪩⨒∯0","layer":3},{"info":"⪩⨒∯112333⊬⨰⪩⨒∯112311=⪩⨒∯1201303","layer":3},{"info":"⪩⨒∯0⪟⇏⪩⨒∯1201303=⪩⨒∯0","layer":2},{"info":"↩⪖⪩⨒∯111222=⪩⨒∯-2300202","layer":3},{"info":"⪩⨒∯1022203⨂≜⪩⨒∯202212=NaN","layer":3},{"info":"⪩⨒∯-2300202≥⨤⩑NaN=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯0∠⫱⪩⨒∯103102=⪩⨒∯103102","layer":1},{"info":"NaN⩺⪪⪩⨒∯103102=NaN","layer":0}]}
{"id":872,"expression_no_base_symbol":"⇐(((⇜$2207$)→⨶⪴$1901$⊢$7292$)⨚$5399$≴⪞⇿$1191$⨸($1025$⩌⋺$2090$))","expression":"⇐(((⇜⪩⨒∯202133)→⨶⪴⪩⨒∯131231⊢⪩⨒∯1301330)⨚⪩⨒∯1110113≴⪞⇿⪩⨒∯102213⨸(⪩⨒∯100001⩌⋺⪩⨒∯200222))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5687,"operation_count":8,"complexity_ratio":710.875,"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":2207,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":1901,"base":4},"right_expr":{"type":"numeric_atoms","value":7292,"base":4}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":5399,"base":4},"right_expr":{"type":"numeric_atoms","value":1191,"base":4}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":1025,"base":4},"right_expr":{"type":"numeric_atoms","value":2090,"base":4}}}}},"used_operators":["nmZMaaE0Q9","nREPSIbpBE","bF6eod5Gvf","lFBm8KRb8F","5twsqlHp2o","KmoU8R5UQR","lvlrscuwVU","g7Hmc5v1ko"],"dependent_operators":["23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","BjRHVeLaeN","12rbrZMWeM","8w2t5hMYqp","9FxExcQeMw","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2207","layer":4},{"info":"compute unary expreesion, input=2207, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-18064","layer":3},{"info":"number node, value=1901","layer":4},{"info":"number node, value=7292","layer":4},{"info":"compute binary expreesion, left_input=1901, right_input=7292, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-4046","layer":3},{"info":"compute binary expreesion, left_input=-18064, right_input=-4046, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-28068","layer":2},{"info":"number node, value=5399","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=5399, right_input=1191, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=52551986","layer":3},{"info":"number node, value=1025","layer":4},{"info":"number node, value=2090","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=2090, 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=-3236","layer":3},{"info":"compute binary expreesion, left_input=52551986, right_input=-3236, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-28068, right_input=nan, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', 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":4,"result_base":4,"text":"⇐(((⇜⪩⨒∯202133)→⨶⪴⪩⨒∯131231⊢⪩⨒∯1301330)⨚⪩⨒∯1110113≴⪞⇿⪩⨒∯102213⨸(⪩⨒∯100001⩌⋺⪩⨒∯200222))=NaN","reverse_text":"NaN=⇐(((⇜⪩⨒∯202133)→⨶⪴⪩⨒∯131231⊢⪩⨒∯1301330)⨚⪩⨒∯1110113≴⪞⇿⪩⨒∯102213⨸(⪩⨒∯100001⩌⋺⪩⨒∯200222))","cot":[{"info":"⇜⪩⨒∯202133=⪩⨒∯-10122100","layer":3},{"info":"⪩⨒∯131231⊢⪩⨒∯1301330=⪩⨒∯-333032","layer":3},{"info":"⪩⨒∯-10122100→⨶⪴⪩⨒∯-333032=⪩⨒∯-12312210","layer":2},{"info":"⪩⨒∯1110113≴⪞⇿⪩⨒∯102213=⪩⨒∯3020132010302","layer":3},{"info":"⪩⨒∯100001⩌⋺⪩⨒∯200222=⪩⨒∯-302210","layer":3},{"info":"⪩⨒∯3020132010302⨸⪩⨒∯-302210=NaN","layer":2},{"info":"⪩⨒∯-12312210⨚NaN=NaN","layer":1},{"info":"⇐NaN=NaN","layer":0}]}
{"id":873,"expression_no_base_symbol":"(($2752$∛$3032$)⫗⊷⫓(⫛⫱⨽$7754$)⩧⪆(($5007$∀⊥⇻)⪒$1033$⇄$4328$))⩖⊿(($2633$⨚⇆$1695$)⋣⋖($3146$∲⫓$1046$)⪨⊡($1324$⫸⇳$2291$)⊕∕($1294$⋭≵$1447$))","expression":"((⪩⨒∯223000∛⪩⨒∯233120)⫗⊷⫓(⫛⫱⨽⪩⨒∯1321022)⩧⪆((⪩⨒∯1032033∀⊥⇻)⪒⪩⨒∯100021⇄⪩⨒∯1003220))⩖⊿((⪩⨒∯221021⨚⇆⪩⨒∯122133)⋣⋖(⪩⨒∯301022∲⫓⪩⨒∯100112)⪨⊡(⪩⨒∯110230⫸⇳⪩⨒∯203303)⊕∕(⪩⨒∯110032⋭≵⪩⨒∯112213))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":107670,"operation_count":15,"complexity_ratio":7178.0,"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":2752,"base":4},"right_expr":{"type":"numeric_atoms","value":3032,"base":4}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7754,"base":4}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"∀⊥⇻","unary_expr":{"type":"numeric_atoms","value":5007,"base":4}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":1033,"base":4},"right_expr":{"type":"numeric_atoms","value":4328,"base":4}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"numeric_atoms","value":2633,"base":4},"right_expr":{"type":"numeric_atoms","value":1695,"base":4}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3146,"base":4},"right_expr":{"type":"numeric_atoms","value":1046,"base":4}}},"right_expr":{"type":"binary","operator":"⊕∕","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1324,"base":4},"right_expr":{"type":"numeric_atoms","value":2291,"base":4}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":1294,"base":4},"right_expr":{"type":"numeric_atoms","value":1447,"base":4}}}}},"used_operators":["RZ5CV9rWsJ","Ikt5ks8PT7","zashukvMKz","w2537kitQq","DlLNRPXxWL","f6k1SAg4EE","k4iM1060OG","3EYGwJThht","kuIXHzHcAH","J0M6qkBnIM","lwHaAYXP2r","i8ToyICDmI","9cloC0Ngie","gx7XJ7hdpj","jBncVCNhdl"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","eewbuw0ToL","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C"],"result":"⪩⨒∯11100","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=2752","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=3032, 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=7754","layer":4},{"info":"compute unary expreesion, input=7754, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-670, right_input=0, 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=5007","layer":4},{"info":"compute unary expreesion, input=5007, op_id = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=0","layer":3},{"info":"number node, value=1033","layer":4},{"info":"number node, value=4328","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=4328, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=0, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=0","layer":1},{"info":"number node, value=2633","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=1695, 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=3146","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=3146, right_input=1046, 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 = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=nan","layer":2},{"info":"number node, value=1324","layer":4},{"info":"number node, value=2291","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=2291, 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=1294","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=1447, 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 = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; 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":"compute binary expreesion, left_input=0, right_input=789, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=336","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯223000∛⪩⨒∯233120)⫗⊷⫓(⫛⫱⨽⪩⨒∯1321022)⩧⪆((⪩⨒∯1032033∀⊥⇻)⪒⪩⨒∯100021⇄⪩⨒∯1003220))⩖⊿((⪩⨒∯221021⨚⇆⪩⨒∯122133)⋣⋖(⪩⨒∯301022∲⫓⪩⨒∯100112)⪨⊡(⪩⨒∯110230⫸⇳⪩⨒∯203303)⊕∕(⪩⨒∯110032⋭≵⪩⨒∯112213))=⪩⨒∯11100","reverse_text":"⪩⨒∯11100=((⪩⨒∯223000∛⪩⨒∯233120)⫗⊷⫓(⫛⫱⨽⪩⨒∯1321022)⩧⪆((⪩⨒∯1032033∀⊥⇻)⪒⪩⨒∯100021⇄⪩⨒∯1003220))⩖⊿((⪩⨒∯221021⨚⇆⪩⨒∯122133)⋣⋖(⪩⨒∯301022∲⫓⪩⨒∯100112)⪨⊡(⪩⨒∯110230⫸⇳⪩⨒∯203303)⊕∕(⪩⨒∯110032⋭≵⪩⨒∯112213))","cot":[{"info":"⪩⨒∯223000∛⪩⨒∯233120=⪩⨒∯-22132","layer":3},{"info":"⫛⫱⨽⪩⨒∯1321022=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-22132⫗⊷⫓⪩⨒∯0=⪩⨒∯-2012","layer":2},{"info":"⪩⨒∯1032033∀⊥⇻=⪩⨒∯0","layer":3},{"info":"⪩⨒∯100021⇄⪩⨒∯1003220=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⪒⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-2012⩧⪆⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯221021⨚⇆⪩⨒∯122133=NaN","layer":3},{"info":"⪩⨒∯301022∲⫓⪩⨒∯100112=⪩⨒∯0","layer":3},{"info":"NaN⋣⋖⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯110230⫸⇳⪩⨒∯203303=⪩⨒∯0","layer":3},{"info":"⪩⨒∯110032⋭≵⪩⨒∯112213=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯0⊕∕⪩⨒∯1003=⪩⨒∯0","layer":2},{"info":"NaN⪨⊡⪩⨒∯0=⪩⨒∯30111","layer":1},{"info":"⪩⨒∯0⩖⊿⪩⨒∯30111=⪩⨒∯11100","layer":0}]}
{"id":874,"expression_no_base_symbol":"($1568$⨔⇊$5910$⫸⊐$1826$∌↝$2557$∖(($1735$⫯⪬∳$2778$)⪷))⊴((⫶⊄≣$6261$)⪶≀⋏($1051$⊢)⪨≂(≦∁$1320$∥⊢⊲$7611$))","expression":"(⪩⨒∯120200⨔⇊⪩⨒∯1130112⫸⊐⪩⨒∯130202∌↝⪩⨒∯213331∖((⪩⨒∯123013⫯⪬∳⪩⨒∯223122)⪷))⊴((⫶⊄≣⪩⨒∯1201311)⪶≀⋏(⪩⨒∯100123⊢)⪨≂(≦∁⪩⨒∯110220∥⊢⊲⪩⨒∯1312323))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12484,"operation_count":13,"complexity_ratio":960.3076923076923,"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":1568,"base":4},"right_expr":{"type":"numeric_atoms","value":5910,"base":4}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1826,"base":4},"right_expr":{"type":"numeric_atoms","value":2557,"base":4}}},"right_expr":{"type":"unary","operator":"⪷","unary_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":1735,"base":4},"right_expr":{"type":"numeric_atoms","value":2778,"base":4}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"unary","operator":"⫶⊄≣","unary_expr":{"type":"numeric_atoms","value":6261,"base":4}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1051,"base":4}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1320,"base":4},"right_expr":{"type":"numeric_atoms","value":7611,"base":4}}}}},"used_operators":["Nsiff2A1zJ","tXD093vOjl","mqXw5SEYmG","JclMnS0uGI","9Isq31Ruls","Qctrpi3WzA","d7ASUq0ydm","sdazOOVcIp","zR4jO40bMj","wxb3vTeyAj","40aOVDgCDB","9ICcGScMcE","v1UQAVDJRr"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","Nsiff2A1zJ","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","eLAdDNolq6","3nqY3DE9mg","8HhzD0ZcuI","NTOWxs364D","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","EBcxylXtPf","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1568","layer":4},{"info":"number node, value=5910","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=5910, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=5910","layer":3},{"info":"number node, value=1826","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=2557, 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=5910, 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=1735","layer":4},{"info":"number node, value=2778","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=2778, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=5930","layer":3},{"info":"compute unary expreesion, input=5930, op_id = Qctrpi3WzA, unary_op_definition = 'a⪷ = { (a⊴a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-125, 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=6261","layer":4},{"info":"compute unary expreesion, input=6261, op_id = wxb3vTeyAj, unary_op_definition = '⫶⊄≣a = { (≤/((a⨽a)⊍)) }', output=705711565","layer":3},{"info":"number node, value=1051","layer":4},{"info":"compute unary expreesion, input=1051, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1298","layer":3},{"info":"compute binary expreesion, left_input=705711565, right_input=-1298, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-2117132331","layer":2},{"info":"number node, value=1320","layer":4},{"info":"number node, value=7611","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=7611, 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 = 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=-2117132331, 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":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯120200⨔⇊⪩⨒∯1130112⫸⊐⪩⨒∯130202∌↝⪩⨒∯213331∖((⪩⨒∯123013⫯⪬∳⪩⨒∯223122)⪷))⊴((⫶⊄≣⪩⨒∯1201311)⪶≀⋏(⪩⨒∯100123⊢)⪨≂(≦∁⪩⨒∯110220∥⊢⊲⪩⨒∯1312323))=NaN","reverse_text":"NaN=(⪩⨒∯120200⨔⇊⪩⨒∯1130112⫸⊐⪩⨒∯130202∌↝⪩⨒∯213331∖((⪩⨒∯123013⫯⪬∳⪩⨒∯223122)⪷))⊴((⫶⊄≣⪩⨒∯1201311)⪶≀⋏(⪩⨒∯100123⊢)⪨≂(≦∁⪩⨒∯110220∥⊢⊲⪩⨒∯1312323))","cot":[{"info":"⪩⨒∯120200⨔⇊⪩⨒∯1130112=⪩⨒∯1130112","layer":3},{"info":"⪩⨒∯130202∌↝⪩⨒∯213331=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1130112⫸⊐⪩⨒∯0=⪩⨒∯-1331","layer":2},{"info":"⪩⨒∯123013⫯⪬∳⪩⨒∯223122=⪩⨒∯1130222","layer":3},{"info":"⪩⨒∯1130222⪷=NaN","layer":2},{"info":"⪩⨒∯-1331∖NaN=⪩⨒∯0","layer":1},{"info":"⫶⊄≣⪩⨒∯1201311=⪩⨒∯222010010313031","layer":3},{"info":"⪩⨒∯100123⊢=⪩⨒∯-110102","layer":3},{"info":"⪩⨒∯222010010313031⪶≀⋏⪩⨒∯-110102=⪩⨒∯-1332030032000223","layer":2},{"info":"⪩⨒∯110220∥⊢⊲⪩⨒∯1312323=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"⪩⨒∯-1332030032000223⪨≂NaN=NaN","layer":1},{"info":"⪩⨒∯0⊴NaN=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"($1016$⊬⨰$7259$⪛⫼$1054$≌$1951$)∀⇚≩($1131$⨭⪣$1140$)≁↽≥(⋣$1682$)⪨⊡((≘($4770$⊢$1242$))⪛⫼(≸$6432$↳≱$1526$))","expression":"(⪩⨒∯33320⊬⨰⪩⨒∯1301123⪛⫼⪩⨒∯100132≌⪩⨒∯132133)∀⇚≩(⪩⨒∯101223⨭⪣⪩⨒∯101310)≁↽≥(⋣⪩⨒∯122102)⪨⊡((≘(⪩⨒∯1022202⊢⪩⨒∯103122))⪛⫼(≸⪩⨒∯1210200↳≱⪩⨒∯113312))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":610643,"operation_count":13,"complexity_ratio":46972.53846153846,"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":1016,"base":4},"right_expr":{"type":"numeric_atoms","value":7259,"base":4}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1054,"base":4},"right_expr":{"type":"numeric_atoms","value":1951,"base":4}}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"⨭⪣","left_expr":{"type":"numeric_atoms","value":1131,"base":4},"right_expr":{"type":"numeric_atoms","value":1140,"base":4}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1682,"base":4}}}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"unary","operator":"≘","unary_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":4770,"base":4},"right_expr":{"type":"numeric_atoms","value":1242,"base":4}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":6432,"base":4},"right_expr":{"type":"numeric_atoms","value":1526,"base":4}}}}},"used_operators":["kuIXHzHcAH","LRNGc0VcxI","hyuBjUqXlG","s3Fd5m9Dh2","lyWz822IDG","ncHt1X6cMc","kn8WO9XteQ","zQWRhDnn8F","tcjXMdvYtA","5twsqlHp2o","eOf03JbCpp","JwTKLfZU96"],"dependent_operators":["JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","X99M06cbEe","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","oWn0xqSxBt","3Oe9XWJUTD","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=7259","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=7259, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=28996","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1951, 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=28996, 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":"number node, value=1131","layer":4},{"info":"number node, value=1140","layer":4},{"info":"compute binary expreesion, left_input=1131, right_input=1140, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-148","layer":3},{"info":"number node, value=1682","layer":4},{"info":"compute unary expreesion, input=1682, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-494413","layer":3},{"info":"compute binary expreesion, left_input=-148, right_input=-494413, 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=nan, right_input=196, 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=4770","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=4770, right_input=1242, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-9784","layer":3},{"info":"compute unary expreesion, input=-9784, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=5752730","layer":2},{"info":"number node, value=6432","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=6432, right_input=1526, 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 = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=351","layer":2},{"info":"compute binary expreesion, left_input=5752730, right_input=351, 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=nan, right_input=968, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯33320⊬⨰⪩⨒∯1301123⪛⫼⪩⨒∯100132≌⪩⨒∯132133)∀⇚≩(⪩⨒∯101223⨭⪣⪩⨒∯101310)≁↽≥(⋣⪩⨒∯122102)⪨⊡((≘(⪩⨒∯1022202⊢⪩⨒∯103122))⪛⫼(≸⪩⨒∯1210200↳≱⪩⨒∯113312))=NaN","reverse_text":"NaN=(⪩⨒∯33320⊬⨰⪩⨒∯1301123⪛⫼⪩⨒∯100132≌⪩⨒∯132133)∀⇚≩(⪩⨒∯101223⨭⪣⪩⨒∯101310)≁↽≥(⋣⪩⨒∯122102)⪨⊡((≘(⪩⨒∯1022202⊢⪩⨒∯103122))⪛⫼(≸⪩⨒∯1210200↳≱⪩⨒∯113312))","cot":[{"info":"⪩⨒∯33320⊬⨰⪩⨒∯1301123=⪩⨒∯13011010","layer":3},{"info":"⪩⨒∯100132≌⪩⨒∯132133=NaN","layer":3},{"info":"⪩⨒∯13011010⪛⫼NaN=NaN","layer":2},{"info":"⪩⨒∯101223⨭⪣⪩⨒∯101310=⪩⨒∯-2110","layer":3},{"info":"⋣⪩⨒∯122102=⪩⨒∯-1320231031","layer":3},{"info":"⪩⨒∯-2110≁↽≥⪩⨒∯-1320231031=⪩⨒∯3010","layer":2},{"info":"NaN∀⇚≩⪩⨒∯3010=NaN","layer":1},{"info":"⪩⨒∯1022202⊢⪩⨒∯103122=⪩⨒∯-2120320","layer":3},{"info":"≘⪩⨒∯-2120320=⪩⨒∯111330132122","layer":2},{"info":"⪩⨒∯1210200↳≱⪩⨒∯113312=⪩⨒∯0","layer":3},{"info":"≸⪩⨒∯0=⪩⨒∯11133","layer":2},{"info":"⪩⨒∯111330132122⪛⫼⪩⨒∯11133=⪩⨒∯33020","layer":1},{"info":"NaN⪨⊡⪩⨒∯33020=NaN","layer":0}]}
{"id":876,"expression_no_base_symbol":"(($2917$⊉≛↸$1156$%$1191$↢$2157$)∖$4840$≀⫉$4357$⋝⋈⪟$4889$↹⊜$3045$)+⇶⊼(($5956$⪛⫼$8141$)⩷∴$1016$⩣⫁∢$2752$⨸⪁($1095$⋥⋵⩄$2247$⊭↱(↯⪼$1912$)))","expression":"((⪩⨒∯231211⊉≛↸⪩⨒∯102010%⪩⨒∯102213↢⪩⨒∯201231)∖⪩⨒∯1023220≀⫉⪩⨒∯1010011⋝⋈⪟⪩⨒∯1030121↹⊜⪩⨒∯233211)+⇶⊼((⪩⨒∯1131010⪛⫼⪩⨒∯1333031)⩷∴⪩⨒∯33320⩣⫁∢⪩⨒∯223000⨸⪁(⪩⨒∯101013⋥⋵⩄⪩⨒∯203013⊭↱(↯⪼⪩⨒∯131320)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":33308,"operation_count":15,"complexity_ratio":2220.5333333333333,"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":2917,"base":4},"right_expr":{"type":"numeric_atoms","value":1156,"base":4}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1191,"base":4},"right_expr":{"type":"numeric_atoms","value":2157,"base":4}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":4840,"base":4},"right_expr":{"type":"numeric_atoms","value":4357,"base":4}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":4889,"base":4},"right_expr":{"type":"numeric_atoms","value":3045,"base":4}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":5956,"base":4},"right_expr":{"type":"numeric_atoms","value":8141,"base":4}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1016,"base":4},"right_expr":{"type":"numeric_atoms","value":2752,"base":4}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1095,"base":4},"right_expr":{"type":"numeric_atoms","value":2247,"base":4}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1912,"base":4}}}}},"used_operators":["TpPTUOHfaN","tXD093vOjl","k8jYdgA6NY","DZ8iAZOCBD","WR6HLWljOP","2DDjHMKMc0","oZj3VtZNQx","9bazX3JMtO","g55IO6H4Gj","9FxExcQeMw","hyuBjUqXlG","JDUIKTTSIa","COABgblf1C","7t3wd0Fuz7","8jW3W4yZS5"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","W4YGzv6Whe","rysDP5nf3Z","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","W4YGzv6Whe","t8gj7n24qd","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2917","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=2917, right_input=1156, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5834","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=2157","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=2157, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=707","layer":3},{"info":"compute binary expreesion, left_input=5834, right_input=707, op_id = k8jYdgA6NY binary_op_definition= 'None', output=178","layer":2},{"info":"number node, value=4840","layer":4},{"info":"number node, value=4357","layer":4},{"info":"compute binary expreesion, left_input=4840, right_input=4357, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4889","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=4889, right_input=3045, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-2498","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=-2498, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2822","layer":2},{"info":"compute binary expreesion, left_input=178, right_input=2822, op_id = tXD093vOjl binary_op_definition= 'a∖b = { ((448⨐⩸⫘a)≀⩗∶(b⋕⪉⪜a)) , if (⩦⊞a)>101 ; ((b⫸⊐b)∼(65-101)) , else }', output=48","layer":1},{"info":"number node, value=5956","layer":4},{"info":"number node, value=8141","layer":4},{"info":"compute binary expreesion, left_input=5956, right_input=8141, 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=1016","layer":4},{"info":"number node, value=2752","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=2752, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-1871","layer":3},{"info":"compute binary expreesion, left_input=968, right_input=-1871, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=5646","layer":2},{"info":"number node, value=1095","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=2247, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1912","layer":4},{"info":"compute unary expreesion, input=1912, 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=113, right_input=-21, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-263","layer":2},{"info":"compute binary expreesion, left_input=5646, right_input=-263, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10766","layer":1},{"info":"compute binary expreesion, left_input=48, right_input=10766, 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":4,"result_base":4,"text":"((⪩⨒∯231211⊉≛↸⪩⨒∯102010%⪩⨒∯102213↢⪩⨒∯201231)∖⪩⨒∯1023220≀⫉⪩⨒∯1010011⋝⋈⪟⪩⨒∯1030121↹⊜⪩⨒∯233211)+⇶⊼((⪩⨒∯1131010⪛⫼⪩⨒∯1333031)⩷∴⪩⨒∯33320⩣⫁∢⪩⨒∯223000⨸⪁(⪩⨒∯101013⋥⋵⩄⪩⨒∯203013⊭↱(↯⪼⪩⨒∯131320)))=NaN","reverse_text":"NaN=((⪩⨒∯231211⊉≛↸⪩⨒∯102010%⪩⨒∯102213↢⪩⨒∯201231)∖⪩⨒∯1023220≀⫉⪩⨒∯1010011⋝⋈⪟⪩⨒∯1030121↹⊜⪩⨒∯233211)+⇶⊼((⪩⨒∯1131010⪛⫼⪩⨒∯1333031)⩷∴⪩⨒∯33320⩣⫁∢⪩⨒∯223000⨸⪁(⪩⨒∯101013⋥⋵⩄⪩⨒∯203013⊭↱(↯⪼⪩⨒∯131320)))","cot":[{"info":"⪩⨒∯231211⊉≛↸⪩⨒∯102010=⪩⨒∯1123022","layer":3},{"info":"⪩⨒∯102213↢⪩⨒∯201231=⪩⨒∯23003","layer":3},{"info":"⪩⨒∯1123022%⪩⨒∯23003=⪩⨒∯2302","layer":2},{"info":"⪩⨒∯1023220≀⫉⪩⨒∯1010011=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯1030121↹⊜⪩⨒∯233211=⪩⨒∯-213002","layer":3},{"info":"⪩⨒∯230012⋝⋈⪟⪩⨒∯-213002=⪩⨒∯230012","layer":2},{"info":"⪩⨒∯2302∖⪩⨒∯230012=⪩⨒∯300","layer":1},{"info":"⪩⨒∯1131010⪛⫼⪩⨒∯1333031=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯33320⩣⫁∢⪩⨒∯223000=⪩⨒∯-131033","layer":3},{"info":"⪩⨒∯33020⩷∴⪩⨒∯-131033=⪩⨒∯1120032","layer":2},{"info":"⪩⨒∯101013⋥⋵⩄⪩⨒∯203013=⪩⨒∯1301","layer":3},{"info":"↯⪼⪩⨒∯131320=⪩⨒∯-111","layer":3},{"info":"⪩⨒∯1301⊭↱⪩⨒∯-111=⪩⨒∯-10013","layer":2},{"info":"⪩⨒∯1120032⨸⪁⪩⨒∯-10013=⪩⨒∯2220032","layer":1},{"info":"⪩⨒∯300+⇶⊼⪩⨒∯2220032=NaN","layer":0}]}
{"id":877,"expression_no_base_symbol":"↨⩢⫨(⪫⨮⊛($4498$⪢$1079$⊍⩺⋍$2064$≳⇉$1085$))","expression":"↨⩢⫨(⪫⨮⊛(⪩⨒∯1012102⪢⪩⨒∯100313⊍⩺⋍⪩⨒∯200100≳⇉⪩⨒∯100331))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16332456,"operation_count":5,"complexity_ratio":3266491.2,"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":4498,"base":4},"right_expr":{"type":"numeric_atoms","value":1079,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":2064,"base":4},"right_expr":{"type":"numeric_atoms","value":1085,"base":4}}}}},"used_operators":["Z5CJsN7DuW","w5FWba1tyO","OXDGMFPWZM","dWAJyo7jo9","V0kx6qeWkN"],"dependent_operators":["Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","k8jYdgA6NY","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=4498","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=4498, right_input=1079, 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=2064","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=2064, right_input=1085, 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=nan, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', 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 = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":0}],"base":4,"result_base":4,"text":"↨⩢⫨(⪫⨮⊛(⪩⨒∯1012102⪢⪩⨒∯100313⊍⩺⋍⪩⨒∯200100≳⇉⪩⨒∯100331))=⪩⨒∯0","reverse_text":"⪩⨒∯0=↨⩢⫨(⪫⨮⊛(⪩⨒∯1012102⪢⪩⨒∯100313⊍⩺⋍⪩⨒∯200100≳⇉⪩⨒∯100331))","cot":[{"info":"⪩⨒∯1012102⪢⪩⨒∯100313=NaN","layer":3},{"info":"⪩⨒∯200100≳⇉⪩⨒∯100331=NaN","layer":3},{"info":"NaN⊍⩺⋍NaN=NaN","layer":2},{"info":"⪫⨮⊛NaN=NaN","layer":1},{"info":"↨⩢⫨NaN=⪩⨒∯0","layer":0}]}
{"id":878,"expression_no_base_symbol":"∮((⨛(⋠∜$6728$))⩭)","expression":"∮((⨛(⋠∜⪩⨒∯1221020))⩭)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":306,"operation_count":4,"complexity_ratio":76.5,"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":6728,"base":4}}}}},"used_operators":["CqXKPLVYql","yIPP7u6H5x","CoMdbyAt7R","ZJpFhNJr3x"],"dependent_operators":["2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","X99M06cbEe","4CyGpkTkEk","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6728","layer":4},{"info":"compute unary expreesion, input=6728, op_id = ZJpFhNJr3x, unary_op_definition = '⋠∜a = { ((a∐⫣)⋥≓≎(a≫≃)) }', output=29196","layer":3},{"info":"compute unary expreesion, input=29196, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, 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 = 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":4,"result_base":4,"text":"∮((⨛(⋠∜⪩⨒∯1221020))⩭)=NaN","reverse_text":"NaN=∮((⨛(⋠∜⪩⨒∯1221020))⩭)","cot":[{"info":"⋠∜⪩⨒∯1221020=⪩⨒∯13020030","layer":3},{"info":"⨛⪩⨒∯13020030=NaN","layer":2},{"info":"NaN⩭=NaN","layer":1},{"info":"∮NaN=NaN","layer":0}]}
{"id":879,"expression_no_base_symbol":"(((∤↝$3518$)⊝)⊢(($5427$↳∿⪆$4598$)≝⊰⇂))≁(↽≂($2181$≭$2952$)⨽∌($1617$⪒⊣⊆$1503$))","expression":"(((∤↝⪩⨒∯312332)⊝)⊢((⪩⨒∯1110303↳∿⪆⪩⨒∯1013312)≝⊰⇂))≁(↽≂(⪩⨒∯202011≭⪩⨒∯232020)⨽∌(⪩⨒∯121101⪒⊣⊆⪩⨒∯113133))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3526,"operation_count":10,"complexity_ratio":352.6,"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":3518,"base":4}}},"right_expr":{"type":"unary","operator":"≝⊰⇂","unary_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":5427,"base":4},"right_expr":{"type":"numeric_atoms","value":4598,"base":4}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2181,"base":4},"right_expr":{"type":"numeric_atoms","value":2952,"base":4}},"right_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1617,"base":4},"right_expr":{"type":"numeric_atoms","value":1503,"base":4}}}}},"used_operators":["8N2wDY1A35","5twsqlHp2o","O6EZ0fifGK","3UMq87Qwqg","htSmYCowi5","Cw4SuJJGHO","u6S6b8DprG","9samAPKr6k","rxpJgHHUmx","eRqsBgTDFp"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","IqGBaFP0uj","ncHt1X6cMc","AHs5Up7iyr","EWw2JM7wp4","6o9Blt3TJ6","keWfFq85dY","u7fv1HBiaC","s3Fd5m9Dh2","YjI8oCXuph","7j4O788W3g","k7HXdKtiEU","ocnLzx9CaJ","Noe24qw2ks","fG6uBQFnGz","cTDWOvIxvz","jLgFTUHLKL","9FxExcQeMw","DlLNRPXxWL","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","AHs5Up7iyr","sdazOOVcIp","W4YGzv6Whe"],"result":"⪩⨒∯-2023231","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=3518","layer":4},{"info":"compute unary expreesion, input=3518, 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=3518","layer":3},{"info":"compute unary expreesion, input=3518, op_id = O6EZ0fifGK, unary_op_definition = 'a⊝ = { a , if (≯a)<=30 ; (((⩦⊞a)≁↽≥(a⪉⨛a))≹⇙⪍((a⊓⋫)⪉⨛(a⫰⋱a))) , else }', output=3518","layer":2},{"info":"number node, value=5427","layer":4},{"info":"number node, value=4598","layer":4},{"info":"compute binary expreesion, left_input=5427, right_input=4598, 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 = htSmYCowi5, unary_op_definition = 'a≝⊰⇂ = { (a⩷∴51) , if a<491 ; (⫛⫱⨽a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3518, 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=-7280","layer":1},{"info":"number node, value=2181","layer":4},{"info":"number node, value=2952","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=2952, 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=1617","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=1503, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3234","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3234, 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 = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-7280, right_input=0, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-8941","layer":0}],"base":4,"result_base":4,"text":"(((∤↝⪩⨒∯312332)⊝)⊢((⪩⨒∯1110303↳∿⪆⪩⨒∯1013312)≝⊰⇂))≁(↽≂(⪩⨒∯202011≭⪩⨒∯232020)⨽∌(⪩⨒∯121101⪒⊣⊆⪩⨒∯113133))=⪩⨒∯-2023231","reverse_text":"⪩⨒∯-2023231=(((∤↝⪩⨒∯312332)⊝)⊢((⪩⨒∯1110303↳∿⪆⪩⨒∯1013312)≝⊰⇂))≁(↽≂(⪩⨒∯202011≭⪩⨒∯232020)⨽∌(⪩⨒∯121101⪒⊣⊆⪩⨒∯113133))","cot":[{"info":"∤↝⪩⨒∯312332=⪩⨒∯312332","layer":3},{"info":"⪩⨒∯312332⊝=⪩⨒∯312332","layer":2},{"info":"⪩⨒∯1110303↳∿⪆⪩⨒∯1013312=NaN","layer":3},{"info":"NaN≝⊰⇂=NaN","layer":2},{"info":"⪩⨒∯312332⊢NaN=⪩⨒∯-1301300","layer":1},{"info":"⪩⨒∯202011≭⪩⨒∯232020=NaN","layer":3},{"info":"⪩⨒∯121101⪒⊣⊆⪩⨒∯113133=⪩⨒∯302202","layer":3},{"info":"NaN⨽∌⪩⨒∯302202=⪩⨒∯0","layer":2},{"info":"↽≂⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⪩⨒∯-1301300≁⪩⨒∯0=⪩⨒∯-2023231","layer":0}]}
{"id":880,"expression_no_base_symbol":"($5086$≹⇙⪍$1132$↼⊘⨖(⪓⩚$4075$)/($1722$-$5716$)∙⊟$1210$∋$1787$)≎⊠⪸(⫎≠⋺($7517$⪥$1403$∕⩚$2345$↙$5172$))","expression":"(⪩⨒∯1033132≹⇙⪍⪩⨒∯101230↼⊘⨖(⪓⩚⪩⨒∯333223)/(⪩⨒∯122322-⪩⨒∯1121110)∙⊟⪩⨒∯102322∋⪩⨒∯123323)≎⊠⪸(⫎≠⋺(⪩⨒∯1311131⪥⪩⨒∯111323∕⩚⪩⨒∯210221↙⪩⨒∯1100310))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":12783,"operation_count":12,"complexity_ratio":1065.25,"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":5086,"base":4},"right_expr":{"type":"numeric_atoms","value":1132,"base":4}},"right_expr":{"type":"unary","operator":"⪓⩚","unary_expr":{"type":"numeric_atoms","value":4075,"base":4}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1722,"base":4},"right_expr":{"type":"numeric_atoms","value":5716,"base":4}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1210,"base":4},"right_expr":{"type":"numeric_atoms","value":1787,"base":4}}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":7517,"base":4},"right_expr":{"type":"numeric_atoms","value":1403,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2345,"base":4},"right_expr":{"type":"numeric_atoms","value":5172,"base":4}}}}},"used_operators":["bJkvcejdHO","XhwjNDsVaA","bPywburJMS","AHs5Up7iyr","u0R0Locfp2","SxTAKzQCrw","rysDP5nf3Z","ukq6epAj5P","LYeZOJ0nQG","z9ffQ9n5Zr","QbnwKVWMIQ","yyfyN0ffXY"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","dWAJyo7jo9","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","tmPS8pqC7x","DpFCA1CohY"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5086","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=5086, right_input=1132, 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=4075","layer":4},{"info":"compute unary expreesion, input=4075, 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 = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=630","layer":2},{"info":"number node, value=1722","layer":4},{"info":"number node, value=5716","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=5716, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3994","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1787, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=3711912","layer":3},{"info":"compute binary expreesion, left_input=-3994, right_input=3711912, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=67666","layer":2},{"info":"compute binary expreesion, left_input=630, right_input=67666, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=7517","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=7517, right_input=1403, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=34720","layer":3},{"info":"number node, value=2345","layer":4},{"info":"number node, value=5172","layer":4},{"info":"compute binary expreesion, left_input=2345, right_input=5172, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15516","layer":3},{"info":"compute binary expreesion, left_input=34720, right_input=-15516, 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 = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=-709","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-709, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1033132≹⇙⪍⪩⨒∯101230↼⊘⨖(⪓⩚⪩⨒∯333223)/(⪩⨒∯122322-⪩⨒∯1121110)∙⊟⪩⨒∯102322∋⪩⨒∯123323)≎⊠⪸(⫎≠⋺(⪩⨒∯1311131⪥⪩⨒∯111323∕⩚⪩⨒∯210221↙⪩⨒∯1100310))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=(⪩⨒∯1033132≹⇙⪍⪩⨒∯101230↼⊘⨖(⪓⩚⪩⨒∯333223)/(⪩⨒∯122322-⪩⨒∯1121110)∙⊟⪩⨒∯102322∋⪩⨒∯123323)≎⊠⪸(⫎≠⋺(⪩⨒∯1311131⪥⪩⨒∯111323∕⩚⪩⨒∯210221↙⪩⨒∯1100310))","cot":[{"info":"⪩⨒∯1033132≹⇙⪍⪩⨒∯101230=NaN","layer":3},{"info":"⪓⩚⪩⨒∯333223=⪩⨒∯12222","layer":3},{"info":"NaN↼⊘⨖⪩⨒∯12222=⪩⨒∯21312","layer":2},{"info":"⪩⨒∯122322-⪩⨒∯1121110=⪩⨒∯-332122","layer":3},{"info":"⪩⨒∯102322∋⪩⨒∯123323=⪩⨒∯32022032220","layer":3},{"info":"⪩⨒∯-332122∙⊟⪩⨒∯32022032220=⪩⨒∯100201102","layer":2},{"info":"⪩⨒∯21312/⪩⨒∯100201102=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1311131⪥⪩⨒∯111323=⪩⨒∯20132200","layer":3},{"info":"⪩⨒∯210221↙⪩⨒∯1100310=⪩⨒∯-3302130","layer":3},{"info":"⪩⨒∯20132200∕⩚⪩⨒∯-3302130=⪩⨒∯-13213","layer":2},{"info":"⫎≠⋺⪩⨒∯-13213=⪩⨒∯-23011","layer":1},{"info":"⪩⨒∯0≎⊠⪸⪩⨒∯-23011=⪩⨒∯1003","layer":0}]}
{"id":881,"expression_no_base_symbol":"(($3026$⨥⫆$2709$⫸⊐$5543$⫁$2070$)⇚⪠)∪⫐(⇤←$2397$⪄$5034$)⫒⫫(($4266$⪑⩈)⪍↜⋙(⩦⊞$6751$))","expression":"((⪩⨒∯233102⨥⫆⪩⨒∯222111⫸⊐⪩⨒∯1112213⫁⪩⨒∯200112)⇚⪠)∪⫐(⇤←⪩⨒∯211131⪄⪩⨒∯1032222)⫒⫫((⪩⨒∯1002222⪑⩈)⪍↜⋙(⩦⊞⪩⨒∯1221133))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1113793,"operation_count":11,"complexity_ratio":101253.90909090909,"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":3026,"base":4},"right_expr":{"type":"numeric_atoms","value":2709,"base":4}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"numeric_atoms","value":5543,"base":4},"right_expr":{"type":"numeric_atoms","value":2070,"base":4}}}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"unary","operator":"⇤←","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2397,"base":4},"right_expr":{"type":"numeric_atoms","value":5034,"base":4}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"unary","operator":"⪑⩈","unary_expr":{"type":"numeric_atoms","value":4266,"base":4}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":6751,"base":4}}}}},"used_operators":["7YooWSwCyH","Loh9y4A90B","mqXw5SEYmG","yXekIHxTD4","0ajvFaJAv0","6Ko8hGgeMq","jfAgQ2OQeM","SUmda5xLS4","L05ObWFQCd","C6VvDP6HwP","u7fv1HBiaC"],"dependent_operators":["rJVOvQCfKK","2DDjHMKMc0","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","cHh1gJQ2o6","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","NTOWxs364D","FyVja0WsTP","zVYPLywUTj","nCS4ZIUYfx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","9FxExcQeMw","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","Z2TMIBDE3Q","i8ToyICDmI","eewbuw0ToL","2td37pGCOC","QMFrweE19q","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP"],"result":"⪩⨒∯2001200102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3026","layer":4},{"info":"number node, value=2709","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=2709, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=5294","layer":3},{"info":"number node, value=5543","layer":4},{"info":"number node, value=2070","layer":4},{"info":"compute binary expreesion, left_input=5543, right_input=2070, 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=5294, right_input=160, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=515","layer":2},{"info":"compute unary expreesion, input=515, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=530450","layer":1},{"info":"number node, value=2397","layer":4},{"info":"number node, value=5034","layer":4},{"info":"compute binary expreesion, left_input=2397, right_input=5034, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-370981","layer":3},{"info":"compute unary expreesion, input=-370981, op_id = jfAgQ2OQeM, unary_op_definition = '⇤←a = { (a⨳⩥⨓((a⩚⊴⇥238)⊱⇼⊻(a⊪))) }', output=371415","layer":2},{"info":"number node, value=4266","layer":4},{"info":"compute unary expreesion, input=4266, op_id = C6VvDP6HwP, unary_op_definition = 'a⪑⩈ = { (((a⫡⨏a)⩚⊴⇥(477⪨≂185))⇼⇔∾(⩦⩻⨪(a∲⫓a))) , if (a⨰851)>=379 ; (((a⩷∴a)⩤)⨰a) , else }', output=31452","layer":3},{"info":"number node, value=6751","layer":4},{"info":"compute unary expreesion, input=6751, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6478","layer":3},{"info":"compute binary expreesion, left_input=31452, right_input=-6478, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=75860","layer":2},{"info":"compute binary expreesion, left_input=371415, right_input=75860, 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=530450, right_input=nan, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=530450","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯233102⨥⫆⪩⨒∯222111⫸⊐⪩⨒∯1112213⫁⪩⨒∯200112)⇚⪠)∪⫐(⇤←⪩⨒∯211131⪄⪩⨒∯1032222)⫒⫫((⪩⨒∯1002222⪑⩈)⪍↜⋙(⩦⊞⪩⨒∯1221133))=⪩⨒∯2001200102","reverse_text":"⪩⨒∯2001200102=((⪩⨒∯233102⨥⫆⪩⨒∯222111⫸⊐⪩⨒∯1112213⫁⪩⨒∯200112)⇚⪠)∪⫐(⇤←⪩⨒∯211131⪄⪩⨒∯1032222)⫒⫫((⪩⨒∯1002222⪑⩈)⪍↜⋙(⩦⊞⪩⨒∯1221133))","cot":[{"info":"⪩⨒∯233102⨥⫆⪩⨒∯222111=⪩⨒∯1102232","layer":3},{"info":"⪩⨒∯1112213⫁⪩⨒∯200112=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1102232⫸⊐⪩⨒∯2200=⪩⨒∯20003","layer":2},{"info":"⪩⨒∯20003⇚⪠=⪩⨒∯2001200102","layer":1},{"info":"⪩⨒∯211131⪄⪩⨒∯1032222=⪩⨒∯-1122210211","layer":3},{"info":"⇤←⪩⨒∯-1122210211=⪩⨒∯1122223113","layer":2},{"info":"⪩⨒∯1002222⪑⩈=⪩⨒∯13223130","layer":3},{"info":"⩦⊞⪩⨒∯1221133=⪩⨒∯-1211032","layer":3},{"info":"⪩⨒∯13223130⪍↜⋙⪩⨒∯-1211032=⪩⨒∯102201110","layer":2},{"info":"⪩⨒∯1122223113⫒⫫⪩⨒∯102201110=NaN","layer":1},{"info":"⪩⨒∯2001200102∪⫐NaN=⪩⨒∯2001200102","layer":0}]}
{"id":882,"expression_no_base_symbol":"(($1982$⊮⊟↴$6514$⇚⪠)≭$3533$≄⊠$3069$⇴∐$2646$⨫⇇↔$1324$)⇷(⨈⫕($1218$⊋$2347$)⩼⇪↪(⫵↿$2763$))","expression":"((⪩⨒∯132332⊮⊟↴⪩⨒∯1211302⇚⪠)≭⪩⨒∯313031≄⊠⪩⨒∯233331⇴∐⪩⨒∯221112⨫⇇↔⪩⨒∯110230)⇷(⨈⫕(⪩⨒∯103002⊋⪩⨒∯210223)⩼⇪↪(⫵↿⪩⨒∯223023))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":280531,"operation_count":11,"complexity_ratio":25502.81818181818,"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":1982,"base":4},"right_expr":{"type":"numeric_atoms","value":6514,"base":4}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3533,"base":4},"right_expr":{"type":"numeric_atoms","value":3069,"base":4}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2646,"base":4},"right_expr":{"type":"numeric_atoms","value":1324,"base":4}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":1218,"base":4},"right_expr":{"type":"numeric_atoms","value":2347,"base":4}},"right_expr":{"type":"unary","operator":"⫵↿","unary_expr":{"type":"numeric_atoms","value":2763,"base":4}}}}},"used_operators":["mp7IySMOzn","rxpJgHHUmx","Loh9y4A90B","QDVgd2eftb","HnzytWxmAO","vXNesLlMH1","LXhwmt4mBO","megm06wKyl","ocnLzx9CaJ","W4tP9CfskL","ivGwdmUAux"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","XhwjNDsVaA","C6VvDP6HwP","WkeUrDK8WX","kuIXHzHcAH","3Oe9XWJUTD","rJVOvQCfKK","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","LXhwmt4mBO","09Ly4LVMIf","LRNGc0VcxI","y4ImoPnbV5","8jW3W4yZS5","G9tJMlZ94a"],"result":"⪩⨒∯-222","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1982","layer":4},{"info":"number node, value=6514","layer":4},{"info":"compute binary expreesion, left_input=1982, right_input=6514, 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 = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=0","layer":2},{"info":"number node, value=3533","layer":4},{"info":"number node, value=3069","layer":4},{"info":"compute binary expreesion, left_input=3533, right_input=3069, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=53772","layer":3},{"info":"number node, value=2646","layer":4},{"info":"number node, value=1324","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=1324, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=53772, right_input=-527, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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=1218","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=2347, 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=-19763880","layer":3},{"info":"number node, value=2763","layer":4},{"info":"compute unary expreesion, input=2763, 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=-19763880, right_input=137, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-39529502","layer":2},{"info":"compute unary expreesion, input=-39529502, 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=nan, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯132332⊮⊟↴⪩⨒∯1211302⇚⪠)≭⪩⨒∯313031≄⊠⪩⨒∯233331⇴∐⪩⨒∯221112⨫⇇↔⪩⨒∯110230)⇷(⨈⫕(⪩⨒∯103002⊋⪩⨒∯210223)⩼⇪↪(⫵↿⪩⨒∯223023))=⪩⨒∯-222","reverse_text":"⪩⨒∯-222=((⪩⨒∯132332⊮⊟↴⪩⨒∯1211302⇚⪠)≭⪩⨒∯313031≄⊠⪩⨒∯233331⇴∐⪩⨒∯221112⨫⇇↔⪩⨒∯110230)⇷(⨈⫕(⪩⨒∯103002⊋⪩⨒∯210223)⩼⇪↪(⫵↿⪩⨒∯223023))","cot":[{"info":"⪩⨒∯132332⊮⊟↴⪩⨒∯1211302=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⇚⪠=⪩⨒∯0","layer":2},{"info":"⪩⨒∯313031≄⊠⪩⨒∯233331=⪩⨒∯31020030","layer":3},{"info":"⪩⨒∯221112⨫⇇↔⪩⨒∯110230=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯31020030⇴∐⪩⨒∯-20033=NaN","layer":2},{"info":"⪩⨒∯0≭NaN=NaN","layer":1},{"info":"⪩⨒∯103002⊋⪩⨒∯210223=⪩⨒∯-1023121022220","layer":3},{"info":"⫵↿⪩⨒∯223023=⪩⨒∯2021","layer":3},{"info":"⪩⨒∯-1023121022220⩼⇪↪⪩⨒∯2021=⪩⨒∯-2112302300132","layer":2},{"info":"⨈⫕⪩⨒∯-2112302300132=⪩⨒∯-111","layer":1},{"info":"NaN⇷⪩⨒∯-111=⪩⨒∯-222","layer":0}]}
{"id":883,"expression_no_base_symbol":"(⊲⪭($6645$⪨≂$4528$))⋭≵(⨞⊢($1207$*$2575$))⫔⩽⩺((($3865$⊹≧⊝)⫠)⇪⋭)","expression":"(⊲⪭(⪩⨒∯1213311⪨≂⪩⨒∯1012300))⋭≵(⨞⊢(⪩⨒∯102313*⪩⨒∯220033))⫔⩽⩺(((⪩⨒∯330121⊹≧⊝)⫠)⇪⋭)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":218674,"operation_count":9,"complexity_ratio":24297.11111111111,"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":6645,"base":4},"right_expr":{"type":"numeric_atoms","value":4528,"base":4}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1207,"base":4},"right_expr":{"type":"numeric_atoms","value":2575,"base":4}}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"unary","operator":"⊹≧⊝","unary_expr":{"type":"numeric_atoms","value":3865,"base":4}}}}},"used_operators":["i9eR4S00cU","jBncVCNhdl","k7HXdKtiEU","sdazOOVcIp","xUOZtlo3hN","9HNa5Wba9A","Z8Yg6dlDSp","6SnOT2rOjz","LxFB4K6j0n"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","i8ToyICDmI","xUOZtlo3hN","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","NTOWxs364D","P8v4zCKN1o","XPYlsWDdGa","DZ8iAZOCBD","t8gj7n24qd","g55IO6H4Gj","eewbuw0ToL","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6645","layer":4},{"info":"number node, value=4528","layer":4},{"info":"compute binary expreesion, left_input=6645, right_input=4528, 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=4336","layer":3},{"info":"compute unary expreesion, input=4336, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4510","layer":2},{"info":"number node, value=1207","layer":4},{"info":"number node, value=2575","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=2575, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3108025","layer":3},{"info":"compute unary expreesion, input=3108025, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3108199","layer":2},{"info":"compute binary expreesion, left_input=-4510, right_input=-3108199, 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=3865","layer":4},{"info":"compute unary expreesion, input=3865, op_id = LxFB4K6j0n, unary_op_definition = 'a⊹≧⊝ = { (((∥⊫a)⊭↱(a⩚⊴⇥a))⊉≛↸(⪲⇎(⪲⇎a))) , if a!=566 ; (-((a∲⫓a)⨸⪁(a⨰a))) , else }', output=-15460","layer":3},{"info":"compute unary expreesion, input=-15460, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=0, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⊲⪭(⪩⨒∯1213311⪨≂⪩⨒∯1012300))⋭≵(⨞⊢(⪩⨒∯102313*⪩⨒∯220033))⫔⩽⩺(((⪩⨒∯330121⊹≧⊝)⫠)⇪⋭)=NaN","reverse_text":"NaN=(⊲⪭(⪩⨒∯1213311⪨≂⪩⨒∯1012300))⋭≵(⨞⊢(⪩⨒∯102313*⪩⨒∯220033))⫔⩽⩺(((⪩⨒∯330121⊹≧⊝)⫠)⇪⋭)","cot":[{"info":"⪩⨒∯1213311⪨≂⪩⨒∯1012300=⪩⨒∯1003300","layer":3},{"info":"⊲⪭⪩⨒∯1003300=⪩⨒∯-1012132","layer":2},{"info":"⪩⨒∯102313*⪩⨒∯220033=⪩⨒∯23312302321","layer":3},{"info":"⨞⊢⪩⨒∯23312302321=⪩⨒∯-23312311213","layer":2},{"info":"⪩⨒∯-1012132⋭≵⪩⨒∯-23312311213=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯330121⊹≧⊝=⪩⨒∯-3301210","layer":3},{"info":"⪩⨒∯-3301210⫠=⪩⨒∯0","layer":2},{"info":"⪩⨒∯0⇪⋭=⪩⨒∯0","layer":1},{"info":"⪩⨒∯1003⫔⩽⩺⪩⨒∯0=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"((⨦⪝($3314$⨼⩣$2336$))↙(⇖($4629$⨳⩥⨓$1628$)))⨽∌((($1437$⩼⇪↪$1949$)∴($6348$⨌↪))⩘⨬⇊)","expression":"((⨦⪝(⪩⨒∯303302⨼⩣⪩⨒∯210200))↙(⇖(⪩⨒∯1020111⨳⩥⨓⪩⨒∯121130)))⨽∌(((⪩⨒∯112131⩼⇪↪⪩⨒∯132131)∴(⪩⨒∯1203030⨌↪))⩘⨬⇊)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5603,"operation_count":10,"complexity_ratio":560.3,"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":3314,"base":4},"right_expr":{"type":"numeric_atoms","value":2336,"base":4}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4629,"base":4},"right_expr":{"type":"numeric_atoms","value":1628,"base":4}}}},"right_expr":{"type":"unary","operator":"⩘⨬⇊","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"numeric_atoms","value":1437,"base":4},"right_expr":{"type":"numeric_atoms","value":1949,"base":4}},"right_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":6348,"base":4}}}}},"used_operators":["9samAPKr6k","yyfyN0ffXY","SUjycxNXIR","JxwMv5le6e","tfWHHpNKUN","nCS4ZIUYfx","XXmTpEpWTW","hrf7POJlIJ","ocnLzx9CaJ","cWQsF5MvuD"],"dependent_operators":["YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","tmPS8pqC7x","DpFCA1CohY","V0kx6qeWkN","rJVOvQCfKK","rxpJgHHUmx","AcOhelriW5","SpZWOsLKZJ","LYeZOJ0nQG","HmxsFra2vL","AvED76WdY7","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","2DQ55sFlQl","W4YGzv6Whe","rysDP5nf3Z","rxpJgHHUmx","HnzytWxmAO","8cLx32lpNA","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3314","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=2336, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, 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=4629","layer":4},{"info":"number node, value=1628","layer":4},{"info":"compute binary expreesion, left_input=4629, right_input=1628, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3001","layer":3},{"info":"compute unary expreesion, input=-3001, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-1884, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1884","layer":1},{"info":"number node, value=1437","layer":4},{"info":"number node, value=1949","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=1949, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-11552","layer":3},{"info":"number node, value=6348","layer":4},{"info":"compute unary expreesion, input=6348, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"compute binary expreesion, left_input=-11552, right_input=-480, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=-21456","layer":2},{"info":"compute unary expreesion, input=-21456, op_id = XXmTpEpWTW, unary_op_definition = 'a⩘⨬⇊ = { ((a⇴∐a)∌(a≭31)) }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=-1884, right_input=-116, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⨦⪝(⪩⨒∯303302⨼⩣⪩⨒∯210200))↙(⇖(⪩⨒∯1020111⨳⩥⨓⪩⨒∯121130)))⨽∌(((⪩⨒∯112131⩼⇪↪⪩⨒∯132131)∴(⪩⨒∯1203030⨌↪))⩘⨬⇊)=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⨦⪝(⪩⨒∯303302⨼⩣⪩⨒∯210200))↙(⇖(⪩⨒∯1020111⨳⩥⨓⪩⨒∯121130)))⨽∌(((⪩⨒∯112131⩼⇪↪⪩⨒∯132131)∴(⪩⨒∯1203030⨌↪))⩘⨬⇊)","cot":[{"info":"⪩⨒∯303302⨼⩣⪩⨒∯210200=NaN","layer":3},{"info":"⨦⪝NaN=⪩⨒∯-131130","layer":2},{"info":"⪩⨒∯1020111⨳⩥⨓⪩⨒∯121130=⪩⨒∯-232321","layer":3},{"info":"⇖⪩⨒∯-232321=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯-131130↙⪩⨒∯2200=⪩⨒∯-131130","layer":1},{"info":"⪩⨒∯112131⩼⇪↪⪩⨒∯132131=⪩⨒∯-2310200","layer":3},{"info":"⪩⨒∯1203030⨌↪=⪩⨒∯-13200","layer":3},{"info":"⪩⨒∯-2310200∴⪩⨒∯-13200=⪩⨒∯-11033100","layer":2},{"info":"⪩⨒∯-11033100⩘⨬⇊=⪩⨒∯-1310","layer":1},{"info":"⪩⨒∯-131130⨽∌⪩⨒∯-1310=⪩⨒∯0","layer":0}]}
{"id":885,"expression_no_base_symbol":"(($3487$⪭$6238$⨵⪆$1340$⇍⊗$2621$)⋭≵($1666$⋥⋵⩄$3622$∙∹∝($1600$⇼⇔∾$1775$)))⇡⇂(⨩∲⋌($1069$∪⫐$4113$)≁↽≥($1318$∛$6447$))","expression":"((⪩⨒∯312133⪭⪩⨒∯1201132⨵⪆⪩⨒∯110330⇍⊗⪩⨒∯220331)⋭≵(⪩⨒∯122002⋥⋵⩄⪩⨒∯320212∙∹∝(⪩⨒∯121000⇼⇔∾⪩⨒∯123233)))⇡⇂(⨩∲⋌(⪩⨒∯100231∪⫐⪩⨒∯1000101)≁↽≥(⪩⨒∯110212∛⪩⨒∯1210233))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9198,"operation_count":12,"complexity_ratio":766.5,"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":3487,"base":4},"right_expr":{"type":"numeric_atoms","value":6238,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1340,"base":4},"right_expr":{"type":"numeric_atoms","value":2621,"base":4}}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1666,"base":4},"right_expr":{"type":"numeric_atoms","value":3622,"base":4}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1600,"base":4},"right_expr":{"type":"numeric_atoms","value":1775,"base":4}}}},"right_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1069,"base":4},"right_expr":{"type":"numeric_atoms","value":4113,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1318,"base":4},"right_expr":{"type":"numeric_atoms","value":6447,"base":4}}}}},"used_operators":["UMwdvZNt44","jBncVCNhdl","2DQ55sFlQl","j9kHMeSvPp","5uvYHDjeKN","HmxsFra2vL","7t3wd0Fuz7","tifHPKVTfV","aSik1wnThz","ncHt1X6cMc","7YooWSwCyH","w2537kitQq"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","COABgblf1C","xUOZtlo3hN","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","oWn0xqSxBt","3Oe9XWJUTD","rJVOvQCfKK","2DDjHMKMc0","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc"],"result":"⪩⨒∯1032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3487","layer":4},{"info":"number node, value=6238","layer":4},{"info":"compute binary expreesion, left_input=3487, right_input=6238, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=1340","layer":4},{"info":"number node, value=2621","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=2621, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=-244, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1666","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=1666, right_input=3622, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=1600","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=1600, right_input=1775, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=175","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=175, 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=160, right_input=0, 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":"number node, value=1069","layer":4},{"info":"number node, value=4113","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=4113, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1069","layer":3},{"info":"number node, value=1318","layer":4},{"info":"number node, value=6447","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=6447, 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=1069, right_input=-670, 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 = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=433","layer":1},{"info":"compute binary expreesion, left_input=-75, right_input=433, 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=78","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯312133⪭⪩⨒∯1201132⨵⪆⪩⨒∯110330⇍⊗⪩⨒∯220331)⋭≵(⪩⨒∯122002⋥⋵⩄⪩⨒∯320212∙∹∝(⪩⨒∯121000⇼⇔∾⪩⨒∯123233)))⇡⇂(⨩∲⋌(⪩⨒∯100231∪⫐⪩⨒∯1000101)≁↽≥(⪩⨒∯110212∛⪩⨒∯1210233))=⪩⨒∯1032","reverse_text":"⪩⨒∯1032=((⪩⨒∯312133⪭⪩⨒∯1201132⨵⪆⪩⨒∯110330⇍⊗⪩⨒∯220331)⋭≵(⪩⨒∯122002⋥⋵⩄⪩⨒∯320212∙∹∝(⪩⨒∯121000⇼⇔∾⪩⨒∯123233)))⇡⇂(⨩∲⋌(⪩⨒∯100231∪⫐⪩⨒∯1000101)≁↽≥(⪩⨒∯110212∛⪩⨒∯1210233))","cot":[{"info":"⪩⨒∯312133⪭⪩⨒∯1201132=⪩⨒∯11","layer":3},{"info":"⪩⨒∯110330⇍⊗⪩⨒∯220331=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯11⨵⪆⪩⨒∯-3310=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯122002⋥⋵⩄⪩⨒∯320212=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯121000⇼⇔∾⪩⨒∯123233=⪩⨒∯2233","layer":3},{"info":"⪩⨒∯1301∙∹∝⪩⨒∯2233=⪩⨒∯0","layer":2},{"info":"⪩⨒∯2200⋭≵⪩⨒∯0=⪩⨒∯-1023","layer":1},{"info":"⪩⨒∯100231∪⫐⪩⨒∯1000101=⪩⨒∯100231","layer":3},{"info":"⪩⨒∯110212∛⪩⨒∯1210233=⪩⨒∯-22132","layer":3},{"info":"⪩⨒∯100231≁↽≥⪩⨒∯-22132=⪩⨒∯3010","layer":2},{"info":"⨩∲⋌⪩⨒∯3010=⪩⨒∯12301","layer":1},{"info":"⪩⨒∯-1023⇡⇂⪩⨒∯12301=⪩⨒∯1032","layer":0}]}
{"id":886,"expression_no_base_symbol":"((($3695$⪢$4065$)⪚(≻⋜$6558$))⨔⇊(($2705$⫁⪎$1461$)⩖⊿($4356$⇼⇔∾$3968$)))⪃⊛⇣(⊢≑≆(($6574$⋐⇩⊬)⪹))","expression":"(((⪩⨒∯321233⪢⪩⨒∯333201)⪚(≻⋜⪩⨒∯1212132))⨔⇊((⪩⨒∯222101⫁⪎⪩⨒∯112311)⩖⊿(⪩⨒∯1010010⇼⇔∾⪩⨒∯332000)))⪃⊛⇣(⊢≑≆((⪩⨒∯1212232⋐⇩⊬)⪹))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":53484,"operation_count":11,"complexity_ratio":4862.181818181818,"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":3695,"base":4},"right_expr":{"type":"numeric_atoms","value":4065,"base":4}},"right_expr":{"type":"unary","operator":"≻⋜","unary_expr":{"type":"numeric_atoms","value":6558,"base":4}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2705,"base":4},"right_expr":{"type":"numeric_atoms","value":1461,"base":4}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4356,"base":4},"right_expr":{"type":"numeric_atoms","value":3968,"base":4}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":6574,"base":4}}}}},"used_operators":["rrgAzCduG9","JclMnS0uGI","HrjLwUk87U","dWAJyo7jo9","3tj9sqzovi","RZ5CV9rWsJ","xRrnTEsQ6j","tifHPKVTfV","27wFxooxGf","B3sABdIn96","JuuLT1NoCs"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","k8jYdgA6NY","XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A"],"result":"⪩⨒∯103102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3695","layer":4},{"info":"number node, value=4065","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=4065, 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=6558","layer":4},{"info":"compute unary expreesion, input=6558, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":2},{"info":"number node, value=2705","layer":4},{"info":"number node, value=1461","layer":4},{"info":"compute binary expreesion, left_input=2705, right_input=1461, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=1244","layer":3},{"info":"number node, value=4356","layer":4},{"info":"number node, value=3968","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=3968, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-388","layer":3},{"info":"compute binary expreesion, left_input=1244, right_input=-388, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=-8162","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8162, 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=6574","layer":4},{"info":"compute unary expreesion, input=6574, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=6574","layer":3},{"info":"compute unary expreesion, input=6574, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=17640","layer":2},{"info":"compute unary expreesion, input=17640, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=71012","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=71012, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯321233⪢⪩⨒∯333201)⪚(≻⋜⪩⨒∯1212132))⨔⇊((⪩⨒∯222101⫁⪎⪩⨒∯112311)⩖⊿(⪩⨒∯1010010⇼⇔∾⪩⨒∯332000)))⪃⊛⇣(⊢≑≆((⪩⨒∯1212232⋐⇩⊬)⪹))=⪩⨒∯103102","reverse_text":"⪩⨒∯103102=(((⪩⨒∯321233⪢⪩⨒∯333201)⪚(≻⋜⪩⨒∯1212132))⨔⇊((⪩⨒∯222101⫁⪎⪩⨒∯112311)⩖⊿(⪩⨒∯1010010⇼⇔∾⪩⨒∯332000)))⪃⊛⇣(⊢≑≆((⪩⨒∯1212232⋐⇩⊬)⪹))","cot":[{"info":"⪩⨒∯321233⪢⪩⨒∯333201=NaN","layer":3},{"info":"≻⋜⪩⨒∯1212132=NaN","layer":3},{"info":"NaN⪚NaN=NaN","layer":2},{"info":"⪩⨒∯222101⫁⪎⪩⨒∯112311=⪩⨒∯103130","layer":3},{"info":"⪩⨒∯1010010⇼⇔∾⪩⨒∯332000=⪩⨒∯-12010","layer":3},{"info":"⪩⨒∯103130⩖⊿⪩⨒∯-12010=⪩⨒∯-1333202","layer":2},{"info":"NaN⨔⇊⪩⨒∯-1333202=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯1212232⋐⇩⊬=⪩⨒∯1212232","layer":3},{"info":"⪩⨒∯1212232⪹=⪩⨒∯10103220","layer":2},{"info":"⊢≑≆⪩⨒∯10103220=⪩⨒∯101111210","layer":1},{"info":"⪩⨒∯1003⪃⊛⇣⪩⨒∯101111210=⪩⨒∯103102","layer":0}]}
{"id":887,"expression_no_base_symbol":"(($8773$∴$1930$⊢)⨲∙)⊲⩕⊾($4106$⋹⋡⊁$2904$∳⫺($1896$⩵∡$1511$)⋣⋖(($1841$⨳⩥⨓$2219$)⩏))","expression":"((⪩⨒∯2021011∴⪩⨒∯132022⊢)⨲∙)⊲⩕⊾(⪩⨒∯1000022⋹⋡⊁⪩⨒∯231120∳⫺(⪩⨒∯131220⩵∡⪩⨒∯113213)⋣⋖((⪩⨒∯130301⨳⩥⨓⪩⨒∯202223)⩏))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":335402,"operation_count":10,"complexity_ratio":33540.2,"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":8773,"base":4},"right_expr":{"type":"numeric_atoms","value":1930,"base":4}}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":4106,"base":4},"right_expr":{"type":"numeric_atoms","value":2904,"base":4}},"right_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1896,"base":4},"right_expr":{"type":"numeric_atoms","value":1511,"base":4}}},"right_expr":{"type":"unary","operator":"⩏","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1841,"base":4},"right_expr":{"type":"numeric_atoms","value":2219,"base":4}}}}},"used_operators":["DmTXOeWf9t","cRahaglYVE","40aOVDgCDB","hrf7POJlIJ","J0M6qkBnIM","AzXXKTstlj","As8RqfVLgs","Y7wcNGrDQJ","iA2gmKZ3Wj","nCS4ZIUYfx"],"dependent_operators":["23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","XGcMNugi78","zR4jO40bMj","mp7IySMOzn","bJkvcejdHO","grXIztHqDa","dWAJyo7jo9","DmTXOeWf9t","g55IO6H4Gj","D4vGDi5EA2","A8NUZmVepG","NTOWxs364D","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","NTOWxs364D","glklzrTFfD","tifHPKVTfV","z6LnFrNh4i","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=8773","layer":4},{"info":"number node, value=1930","layer":4},{"info":"compute binary expreesion, left_input=8773, right_input=1930, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=19194","layer":3},{"info":"compute unary expreesion, input=19194, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-19441","layer":2},{"info":"compute unary expreesion, input=-19441, op_id = cRahaglYVE, unary_op_definition = 'a⨲∙ = { ((a⪢(a⇷a))⪶≀⋏(↥(30⫞⩸⩒376))) , if (a≦≮≮)>473 ; (121⨸⪁((a⊲⩕⊾a)≎⊠⪸(28⪃↞⩐))) , else }', output=nan","layer":1},{"info":"number node, value=4106","layer":4},{"info":"number node, value=2904","layer":4},{"info":"compute binary expreesion, left_input=4106, right_input=2904, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=3654","layer":3},{"info":"number node, value=1896","layer":4},{"info":"number node, value=1511","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=1511, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-2402","layer":3},{"info":"compute binary expreesion, left_input=3654, right_input=-2402, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":2},{"info":"number node, value=1841","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=1841, right_input=2219, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=378","layer":3},{"info":"compute unary expreesion, input=378, op_id = iA2gmKZ3Wj, unary_op_definition = 'a⩏ = { ((a⋕⪉⪜272)≣⋋) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-260, right_input=0, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=-260","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-260, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯2021011∴⪩⨒∯132022⊢)⨲∙)⊲⩕⊾(⪩⨒∯1000022⋹⋡⊁⪩⨒∯231120∳⫺(⪩⨒∯131220⩵∡⪩⨒∯113213)⋣⋖((⪩⨒∯130301⨳⩥⨓⪩⨒∯202223)⩏))=NaN","reverse_text":"NaN=((⪩⨒∯2021011∴⪩⨒∯132022⊢)⨲∙)⊲⩕⊾(⪩⨒∯1000022⋹⋡⊁⪩⨒∯231120∳⫺(⪩⨒∯131220⩵∡⪩⨒∯113213)⋣⋖((⪩⨒∯130301⨳⩥⨓⪩⨒∯202223)⩏))","cot":[{"info":"⪩⨒∯2021011∴⪩⨒∯132022=⪩⨒∯10223322","layer":3},{"info":"⪩⨒∯10223322⊢=⪩⨒∯-10233301","layer":2},{"info":"⪩⨒∯-10233301⨲∙=NaN","layer":1},{"info":"⪩⨒∯1000022⋹⋡⊁⪩⨒∯231120=⪩⨒∯321012","layer":3},{"info":"⪩⨒∯131220⩵∡⪩⨒∯113213=⪩⨒∯-211202","layer":3},{"info":"⪩⨒∯321012∳⫺⪩⨒∯-211202=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯130301⨳⩥⨓⪩⨒∯202223=⪩⨒∯11322","layer":3},{"info":"⪩⨒∯11322⩏=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-10010⋣⋖⪩⨒∯0=⪩⨒∯-10010","layer":1},{"info":"NaN⊲⩕⊾⪩⨒∯-10010=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"(($1376$⩭)⋭≵$2508$≠≀$5666$)↓($3955$⊢$1048$)⨸($1648$∥⊢⊲$3882$)⫡⨏(⋎⨆$5137$⇣⩺⋵$2921$)∋($8246$↢$8842$⋅⇍$1894$⋥⋵⩄$1056$)","expression":"((⪩⨒∯111200⩭)⋭≵⪩⨒∯213030≠≀⪩⨒∯1120202)↓(⪩⨒∯331303⊢⪩⨒∯100120)⨸(⪩⨒∯121300∥⊢⊲⪩⨒∯330222)⫡⨏(⋎⨆⪩⨒∯1100101⇣⩺⋵⪩⨒∯231221)∋(⪩⨒∯2000312↢⪩⨒∯2022022⋅⇍⪩⨒∯131212⋥⋵⩄⪩⨒∯100200)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":38710,"operation_count":14,"complexity_ratio":2765.0,"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":1376,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":2508,"base":4},"right_expr":{"type":"numeric_atoms","value":5666,"base":4}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3955,"base":4},"right_expr":{"type":"numeric_atoms","value":1048,"base":4}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1648,"base":4},"right_expr":{"type":"numeric_atoms","value":3882,"base":4}}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"numeric_atoms","value":5137,"base":4},"right_expr":{"type":"numeric_atoms","value":2921,"base":4}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":8246,"base":4},"right_expr":{"type":"numeric_atoms","value":8842,"base":4}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1894,"base":4},"right_expr":{"type":"numeric_atoms","value":1056,"base":4}}}}},"used_operators":["QMFrweE19q","Af076pWI7l","jBncVCNhdl","yIPP7u6H5x","IwW236VD4Y","KmoU8R5UQR","5twsqlHp2o","v1UQAVDJRr","ukq6epAj5P","E64sFOc4tB","F4yD0voBRQ","AdZkA7nFnk","WR6HLWljOP","7t3wd0Fuz7"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","nOKPl9n5zu","SUmda5xLS4","9HNa5Wba9A","fu6greOZ01","3tVxb0NHM4","GjBEYRfMaF","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","EBcxylXtPf","rGHVDoGpnC","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T"],"result":"⪩⨒∯-3332112013033","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":4},{"info":"compute unary expreesion, input=1376, op_id = yIPP7u6H5x, unary_op_definition = 'a⩭ = { (((a⨐⩸⫘a)⪎↠(696*a))⪔(224⪄(⋗⩴⪓a))) }', output=nan","layer":3},{"info":"number node, value=2508","layer":4},{"info":"number node, value=5666","layer":4},{"info":"compute binary expreesion, left_input=2508, right_input=5666, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-4710","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4710, 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=3955","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=3955, right_input=1048, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-8154","layer":3},{"info":"number node, value=1648","layer":4},{"info":"number node, value=3882","layer":4},{"info":"compute binary expreesion, left_input=1648, right_input=3882, 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=-8154, right_input=nan, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=5137","layer":4},{"info":"number node, value=2921","layer":4},{"info":"compute binary expreesion, left_input=5137, right_input=2921, 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 = E64sFOc4tB, unary_op_definition = '⋎⨆a = { (a⪇≇⋚a) , if (⊁⨺a)>31 and (⨡↴a)>=90 ; (136↪⪝) , else }', output=8320752","layer":2},{"info":"number node, value=8246","layer":4},{"info":"number node, value=8842","layer":4},{"info":"compute binary expreesion, left_input=8246, right_input=8842, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=7762","layer":3},{"info":"number node, value=1894","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=1056, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=7762, right_input=113, 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=8320752, right_input=-22, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-33337632","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-33337632, 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=-66675151","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯111200⩭)⋭≵⪩⨒∯213030≠≀⪩⨒∯1120202)↓(⪩⨒∯331303⊢⪩⨒∯100120)⨸(⪩⨒∯121300∥⊢⊲⪩⨒∯330222)⫡⨏(⋎⨆⪩⨒∯1100101⇣⩺⋵⪩⨒∯231221)∋(⪩⨒∯2000312↢⪩⨒∯2022022⋅⇍⪩⨒∯131212⋥⋵⩄⪩⨒∯100200)=⪩⨒∯-3332112013033","reverse_text":"⪩⨒∯-3332112013033=((⪩⨒∯111200⩭)⋭≵⪩⨒∯213030≠≀⪩⨒∯1120202)↓(⪩⨒∯331303⊢⪩⨒∯100120)⨸(⪩⨒∯121300∥⊢⊲⪩⨒∯330222)⫡⨏(⋎⨆⪩⨒∯1100101⇣⩺⋵⪩⨒∯231221)∋(⪩⨒∯2000312↢⪩⨒∯2022022⋅⇍⪩⨒∯131212⋥⋵⩄⪩⨒∯100200)","cot":[{"info":"⪩⨒∯111200⩭=NaN","layer":3},{"info":"⪩⨒∯213030≠≀⪩⨒∯1120202=⪩⨒∯-1021212","layer":3},{"info":"NaN⋭≵⪩⨒∯-1021212=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯331303⊢⪩⨒∯100120=⪩⨒∯-1333122","layer":3},{"info":"⪩⨒∯121300∥⊢⊲⪩⨒∯330222=NaN","layer":3},{"info":"⪩⨒∯-1333122⨸NaN=NaN","layer":2},{"info":"⪩⨒∯1003↓NaN=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯1100101⇣⩺⋵⪩⨒∯231221=⪩⨒∯-10010","layer":3},{"info":"⋎⨆⪩⨒∯-10010=⪩⨒∯133233123300","layer":2},{"info":"⪩⨒∯2000312↢⪩⨒∯2022022=⪩⨒∯1321102","layer":3},{"info":"⪩⨒∯131212⋥⋵⩄⪩⨒∯100200=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯1321102⋅⇍⪩⨒∯1301=⪩⨒∯-112","layer":2},{"info":"⪩⨒∯133233123300∋⪩⨒∯-112=⪩⨒∯-1333023010200","layer":1},{"info":"⪩⨒∯-2012⫡⨏⪩⨒∯-1333023010200=⪩⨒∯-3332112013033","layer":0}]}
{"id":889,"expression_no_base_symbol":"(($6924$%$2248$)∓⋝($1217$⋓$6402$)⪨≂$2427$∌↝$3804$⪡$7420$⨽∌$3829$)⩼⇪↪(∮(($4584$⨌↪)↡⊰⫅(⊑$8256$)))","expression":"((⪩⨒∯1230030%⪩⨒∯203020)∓⋝(⪩⨒∯103001⋓⪩⨒∯1210002)⪨≂⪩⨒∯211323∌↝⪩⨒∯323130⪡⪩⨒∯1303330⨽∌⪩⨒∯323311)⩼⇪↪(∮((⪩⨒∯1013220⨌↪)↡⊰⫅(⊑⪩⨒∯2001000)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3585,"operation_count":12,"complexity_ratio":298.75,"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":6924,"base":4},"right_expr":{"type":"numeric_atoms","value":2248,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1217,"base":4},"right_expr":{"type":"numeric_atoms","value":6402,"base":4}}},"right_expr":{"type":"binary","operator":"⪡","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2427,"base":4},"right_expr":{"type":"numeric_atoms","value":3804,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":7420,"base":4},"right_expr":{"type":"numeric_atoms","value":3829,"base":4}}}},"right_expr":{"type":"unary","operator":"∮","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⨌↪","unary_expr":{"type":"numeric_atoms","value":4584,"base":4}},"right_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":8256,"base":4}}}}},"used_operators":["ocnLzx9CaJ","sdazOOVcIp","PoHhknlbAi","k8jYdgA6NY","T2fj7uvVaJ","oraRL2iQuh","9Isq31Ruls","9samAPKr6k","CqXKPLVYql","VCtxkLNOzz","cWQsF5MvuD","IkUmn0D7oy"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","8w2t5hMYqp","2DQ55sFlQl","i8ToyICDmI","QMFrweE19q","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl"],"result":"⪩⨒∯-1310200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6924","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=6924, right_input=2248, op_id = k8jYdgA6NY binary_op_definition= 'None', output=180","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=6402","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=6402, 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=180, right_input=0, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=-3538","layer":2},{"info":"number node, value=2427","layer":4},{"info":"number node, value=3804","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=3804, 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=7420","layer":4},{"info":"number node, value=3829","layer":4},{"info":"compute binary expreesion, left_input=7420, right_input=3829, 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 = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1936","layer":2},{"info":"compute binary expreesion, left_input=-3538, right_input=-1936, 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=-3102","layer":1},{"info":"number node, value=4584","layer":4},{"info":"compute unary expreesion, input=4584, op_id = cWQsF5MvuD, unary_op_definition = 'a⨌↪ = { (⊄⩳↩((a∲⫓a)⨵⪆(a⫡⨏a))) }', output=-480","layer":3},{"info":"number node, value=8256","layer":4},{"info":"compute unary expreesion, input=8256, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"compute binary expreesion, left_input=-480, right_input=192, op_id = VCtxkLNOzz binary_op_definition= 'a↡⊰⫅b = { (b⇷b) , if ((b⫁⪎966)!=450 or a!=328 or a==643) ; (b≧⫂∧a) , else }', output=384","layer":2},{"info":"compute unary expreesion, input=384, 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=-3102, right_input=67, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=-7456","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1230030%⪩⨒∯203020)∓⋝(⪩⨒∯103001⋓⪩⨒∯1210002)⪨≂⪩⨒∯211323∌↝⪩⨒∯323130⪡⪩⨒∯1303330⨽∌⪩⨒∯323311)⩼⇪↪(∮((⪩⨒∯1013220⨌↪)↡⊰⫅(⊑⪩⨒∯2001000)))=⪩⨒∯-1310200","reverse_text":"⪩⨒∯-1310200=((⪩⨒∯1230030%⪩⨒∯203020)∓⋝(⪩⨒∯103001⋓⪩⨒∯1210002)⪨≂⪩⨒∯211323∌↝⪩⨒∯323130⪡⪩⨒∯1303330⨽∌⪩⨒∯323311)⩼⇪↪(∮((⪩⨒∯1013220⨌↪)↡⊰⫅(⊑⪩⨒∯2001000)))","cot":[{"info":"⪩⨒∯1230030%⪩⨒∯203020=⪩⨒∯2310","layer":3},{"info":"⪩⨒∯103001⋓⪩⨒∯1210002=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2310∓⋝⪩⨒∯0=⪩⨒∯-313102","layer":2},{"info":"⪩⨒∯211323∌↝⪩⨒∯323130=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1303330⨽∌⪩⨒∯323311=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⪡⪩⨒∯0=⪩⨒∯-132100","layer":2},{"info":"⪩⨒∯-313102⪨≂⪩⨒∯-132100=⪩⨒∯-300132","layer":1},{"info":"⪩⨒∯1013220⨌↪=⪩⨒∯-13200","layer":3},{"info":"⊑⪩⨒∯2001000=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯-13200↡⊰⫅⪩⨒∯3000=⪩⨒∯12000","layer":2},{"info":"∮⪩⨒∯12000=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯-300132⩼⇪↪⪩⨒∯1003=⪩⨒∯-1310200","layer":0}]}
{"id":890,"expression_no_base_symbol":"($2027$⨐$2916$⊍⩺⋍$2304$↳∿⪆$2115$)⪉⨛(⇉-⫰($1625$∪⫐$1635$))⋻⩜⩜((⊁⨺($2599$⪁$5529$))∕⩚(($3064$∙∹∝$5976$)⪣⫩))","expression":"(⪩⨒∯133223⨐⪩⨒∯231210⊍⩺⋍⪩⨒∯210000↳∿⪆⪩⨒∯201003)⪉⨛(⇉-⫰(⪩⨒∯121121∪⫐⪩⨒∯121203))⋻⩜⩜((⊁⨺(⪩⨒∯220213⪁⪩⨒∯1112121))∕⩚((⪩⨒∯233320∙∹∝⪩⨒∯1131120)⪣⫩))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20243272,"operation_count":12,"complexity_ratio":1686939.3333333333,"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":2027,"base":4},"right_expr":{"type":"numeric_atoms","value":2916,"base":4}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":2304,"base":4},"right_expr":{"type":"numeric_atoms","value":2115,"base":4}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1625,"base":4},"right_expr":{"type":"numeric_atoms","value":1635,"base":4}}}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2599,"base":4},"right_expr":{"type":"numeric_atoms","value":5529,"base":4}}},"right_expr":{"type":"unary","operator":"⪣⫩","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3064,"base":4},"right_expr":{"type":"numeric_atoms","value":5976,"base":4}}}}},"used_operators":["oDCm7WA9JY","EWw2JM7wp4","OXDGMFPWZM","Noe24qw2ks","Cw4SuJJGHO","IGFM8TAlm9","7YooWSwCyH","z9ffQ9n5Zr","PxiHyQbrIp","I7sXao9hZE","iuk5sVOGFA","HmxsFra2vL"],"dependent_operators":["mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","eH2TOUuTDT","eewbuw0ToL","rJVOvQCfKK","2DDjHMKMc0","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","W4YGzv6Whe","Qy55tPpLXF","XPYlsWDdGa","23Mk6UjR3U","Ph9nP6C5qx","i8ToyICDmI","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2027","layer":4},{"info":"number node, value=2916","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=2916, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-4054","layer":3},{"info":"number node, value=2304","layer":4},{"info":"number node, value=2115","layer":4},{"info":"compute binary expreesion, left_input=2304, right_input=2115, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4054, right_input=nan, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":2},{"info":"number node, value=1625","layer":4},{"info":"number node, value=1635","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=1635, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1625","layer":3},{"info":"compute unary expreesion, input=1625, 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 = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=nan","layer":1},{"info":"number node, value=2599","layer":4},{"info":"number node, value=5529","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=5529, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', 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=3064","layer":4},{"info":"number node, value=5976","layer":4},{"info":"compute binary expreesion, left_input=3064, right_input=5976, 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 = 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=nan, right_input=913, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":0}],"base":4,"result_base":4,"text":"(⪩⨒∯133223⨐⪩⨒∯231210⊍⩺⋍⪩⨒∯210000↳∿⪆⪩⨒∯201003)⪉⨛(⇉-⫰(⪩⨒∯121121∪⫐⪩⨒∯121203))⋻⩜⩜((⊁⨺(⪩⨒∯220213⪁⪩⨒∯1112121))∕⩚((⪩⨒∯233320∙∹∝⪩⨒∯1131120)⪣⫩))=NaN","reverse_text":"NaN=(⪩⨒∯133223⨐⪩⨒∯231210⊍⩺⋍⪩⨒∯210000↳∿⪆⪩⨒∯201003)⪉⨛(⇉-⫰(⪩⨒∯121121∪⫐⪩⨒∯121203))⋻⩜⩜((⊁⨺(⪩⨒∯220213⪁⪩⨒∯1112121))∕⩚((⪩⨒∯233320∙∹∝⪩⨒∯1131120)⪣⫩))","cot":[{"info":"⪩⨒∯133223⨐⪩⨒∯231210=⪩⨒∯-333112","layer":3},{"info":"⪩⨒∯210000↳∿⪆⪩⨒∯201003=NaN","layer":3},{"info":"⪩⨒∯-333112⊍⩺⋍NaN=NaN","layer":2},{"info":"⪩⨒∯121121∪⫐⪩⨒∯121203=⪩⨒∯121121","layer":3},{"info":"⇉-⫰⪩⨒∯121121=⪩⨒∯110","layer":2},{"info":"NaN⪉⨛⪩⨒∯110=NaN","layer":1},{"info":"⪩⨒∯220213⪁⪩⨒∯1112121=NaN","layer":3},{"info":"⊁⨺NaN=NaN","layer":2},{"info":"⪩⨒∯233320∙∹∝⪩⨒∯1131120=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⪣⫩=⪩⨒∯32101","layer":2},{"info":"NaN∕⩚⪩⨒∯32101=NaN","layer":1},{"info":"NaN⋻⩜⩜NaN=NaN","layer":0}]}
{"id":891,"expression_no_base_symbol":"(≇⪴($1032$⊋$1491$≀⫉$1459$↳∿⪆$2437$))⋛((⋣$2171$)≁($1316$⋓$4247$)⩷∴(($2244$⨲)↙$3333$⩘$4343$))","expression":"(≇⪴(⪩⨒∯100020⊋⪩⨒∯113103≀⫉⪩⨒∯112303↳∿⪆⪩⨒∯212011))⋛((⋣⪩⨒∯201323)≁(⪩⨒∯110210⋓⪩⨒∯1002113)⩷∴((⪩⨒∯203010⨲)↙⪩⨒∯310011⩘⪩⨒∯1003313))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":342931,"operation_count":12,"complexity_ratio":28577.583333333332,"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":1032,"base":4},"right_expr":{"type":"numeric_atoms","value":1491,"base":4}},"right_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"numeric_atoms","value":1459,"base":4},"right_expr":{"type":"numeric_atoms","value":2437,"base":4}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≁","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":2171,"base":4}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1316,"base":4},"right_expr":{"type":"numeric_atoms","value":4247,"base":4}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2244,"base":4}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":3333,"base":4},"right_expr":{"type":"numeric_atoms","value":4343,"base":4}}}}},"used_operators":["YbUVn0Rbpy","zoVPnxeHJ3","oZj3VtZNQx","W4tP9CfskL","Cw4SuJJGHO","9FxExcQeMw","8N2wDY1A35","zQWRhDnn8F","T2fj7uvVaJ","yyfyN0ffXY","nLYMGWM7L8","cHh1gJQ2o6"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","rysDP5nf3Z","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o"],"result":"⪩⨒∯-30100221","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1032","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1491, 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=-4739280","layer":3},{"info":"number node, value=1459","layer":4},{"info":"number node, value=2437","layer":4},{"info":"compute binary expreesion, left_input=1459, right_input=2437, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4739280, right_input=nan, 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 = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-7126","layer":1},{"info":"number node, value=2171","layer":4},{"info":"compute unary expreesion, input=2171, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-638179","layer":3},{"info":"number node, value=1316","layer":4},{"info":"number node, value=4247","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=4247, 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=-638179, 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":"number node, value=2244","layer":4},{"info":"compute unary expreesion, input=2244, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=396524557","layer":3},{"info":"number node, value=3333","layer":4},{"info":"number node, value=4343","layer":4},{"info":"compute binary expreesion, left_input=3333, right_input=4343, 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=396524557, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-480","layer":2},{"info":"compute binary expreesion, left_input=-8941, right_input=-480, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-16954","layer":1},{"info":"compute binary expreesion, left_input=-7126, right_input=-16954, 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=-50217","layer":0}],"base":4,"result_base":4,"text":"(≇⪴(⪩⨒∯100020⊋⪩⨒∯113103≀⫉⪩⨒∯112303↳∿⪆⪩⨒∯212011))⋛((⋣⪩⨒∯201323)≁(⪩⨒∯110210⋓⪩⨒∯1002113)⩷∴((⪩⨒∯203010⨲)↙⪩⨒∯310011⩘⪩⨒∯1003313))=⪩⨒∯-30100221","reverse_text":"⪩⨒∯-30100221=(≇⪴(⪩⨒∯100020⊋⪩⨒∯113103≀⫉⪩⨒∯112303↳∿⪆⪩⨒∯212011))⋛((⋣⪩⨒∯201323)≁(⪩⨒∯110210⋓⪩⨒∯1002113)⩷∴((⪩⨒∯203010⨲)↙⪩⨒∯310011⩘⪩⨒∯1003313))","cot":[{"info":"⪩⨒∯100020⊋⪩⨒∯113103=⪩⨒∯-102011003100","layer":3},{"info":"⪩⨒∯112303↳∿⪆⪩⨒∯212011=NaN","layer":3},{"info":"⪩⨒∯-102011003100≀⫉NaN=⪩⨒∯230012","layer":2},{"info":"≇⪴⪩⨒∯230012=⪩⨒∯-1233112","layer":1},{"info":"⋣⪩⨒∯201323=⪩⨒∯-2123303203","layer":3},{"info":"⪩⨒∯110210⋓⪩⨒∯1002113=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-2123303203≁⪩⨒∯0=⪩⨒∯-2023231","layer":2},{"info":"⪩⨒∯203010⨲=⪩⨒∯113220213300031","layer":3},{"info":"⪩⨒∯310011⩘⪩⨒∯1003313=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯113220213300031↙⪩⨒∯2200=⪩⨒∯-13200","layer":2},{"info":"⪩⨒∯-2023231⩷∴⪩⨒∯-13200=⪩⨒∯-10020322","layer":1},{"info":"⪩⨒∯-1233112⋛⪩⨒∯-10020322=⪩⨒∯-30100221","layer":0}]}
{"id":892,"expression_no_base_symbol":"((↽≂(⪫⨮⊛$2144$))⪔($3214$∙∹∝$3245$)⪛($2075$⫃⨇$5566$))+⪬∐(≸≮($3475$↢$7146$/($1772$∕⩚$1015$)))","expression":"((↽≂(⪫⨮⊛⪩⨒∯201200))⪔(⪩⨒∯302032∙∹∝⪩⨒∯302231)⪛(⪩⨒∯200123⫃⨇⪩⨒∯1112332))+⪬∐(≸≮(⪩⨒∯312103↢⪩⨒∯1233222/(⪩⨒∯123230∕⩚⪩⨒∯33313)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1290905,"operation_count":11,"complexity_ratio":117355.0,"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":2144,"base":4}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3214,"base":4},"right_expr":{"type":"numeric_atoms","value":3245,"base":4}},"right_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":2075,"base":4},"right_expr":{"type":"numeric_atoms","value":5566,"base":4}}}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":3475,"base":4},"right_expr":{"type":"numeric_atoms","value":7146,"base":4}},"right_expr":{"type":"binary","operator":"∕⩚","left_expr":{"type":"numeric_atoms","value":1772,"base":4},"right_expr":{"type":"numeric_atoms","value":1015,"base":4}}}}},"used_operators":["2GS7woTJqF","GjBEYRfMaF","u6S6b8DprG","w5FWba1tyO","uFcxV4UQCh","HmxsFra2vL","09Ly4LVMIf","AljMvE3RRm","XhwjNDsVaA","WR6HLWljOP","z9ffQ9n5Zr"],"dependent_operators":["g55IO6H4Gj","D4vGDi5EA2","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","rysDP5nf3Z","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2144","layer":4},{"info":"compute unary expreesion, input=2144, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(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":"number node, value=3214","layer":4},{"info":"number node, value=3245","layer":4},{"info":"compute binary expreesion, left_input=3214, right_input=3245, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=2075","layer":4},{"info":"number node, value=5566","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=5566, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-22296","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-22296, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=nan","layer":1},{"info":"number node, value=3475","layer":4},{"info":"number node, value=7146","layer":4},{"info":"compute binary expreesion, left_input=3475, right_input=7146, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=2991","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1015, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-1775","layer":3},{"info":"compute binary expreesion, left_input=2991, right_input=-1775, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"compute unary expreesion, input=-2, op_id = AljMvE3RRm, unary_op_definition = '≸≮a = { (a⊴((a⨔≚≋a)⫰⋱(∤↝a))) , if (a>367 and (a≬⋮702)!=1) ; (⊀((∷≠a)⩉⊫⨁)) , else }', output=-270","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-270, op_id = 2GS7woTJqF binary_op_definition= 'a+⪬∐b = { (a≦≮≮) , if b!=63 ; (b⨸⪁575) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((↽≂(⪫⨮⊛⪩⨒∯201200))⪔(⪩⨒∯302032∙∹∝⪩⨒∯302231)⪛(⪩⨒∯200123⫃⨇⪩⨒∯1112332))+⪬∐(≸≮(⪩⨒∯312103↢⪩⨒∯1233222/(⪩⨒∯123230∕⩚⪩⨒∯33313)))=NaN","reverse_text":"NaN=((↽≂(⪫⨮⊛⪩⨒∯201200))⪔(⪩⨒∯302032∙∹∝⪩⨒∯302231)⪛(⪩⨒∯200123⫃⨇⪩⨒∯1112332))+⪬∐(≸≮(⪩⨒∯312103↢⪩⨒∯1233222/(⪩⨒∯123230∕⩚⪩⨒∯33313)))","cot":[{"info":"⪫⨮⊛⪩⨒∯201200=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"⪩⨒∯302032∙∹∝⪩⨒∯302231=⪩⨒∯0","layer":3},{"info":"⪩⨒∯200123⫃⨇⪩⨒∯1112332=⪩⨒∯-11130120","layer":3},{"info":"⪩⨒∯0⪛⪩⨒∯-11130120=⪩⨒∯0","layer":2},{"info":"NaN⪔⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯312103↢⪩⨒∯1233222=⪩⨒∯232233","layer":3},{"info":"⪩⨒∯123230∕⩚⪩⨒∯33313=⪩⨒∯-123233","layer":3},{"info":"⪩⨒∯232233/⪩⨒∯-123233=⪩⨒∯-2","layer":2},{"info":"≸≮⪩⨒∯-2=⪩⨒∯-10032","layer":1},{"info":"NaN+⪬∐⪩⨒∯-10032=NaN","layer":0}]}
{"id":893,"expression_no_base_symbol":"(⩪∧⨌($3663$⨑≵⋬$3631$))⪟⇏($1146$≭$1152$⩚⊴⇥($1519$∝$3095$))↹⊜(($1652$≒∊$2206$%$6888$⇴$3364$)⊉≛↸(-$3545$∴$1588$))","expression":"(⩪∧⨌(⪩⨒∯321033⨑≵⋬⪩⨒∯320233))⪟⇏(⪩⨒∯101322≭⪩⨒∯102000⩚⊴⇥(⪩⨒∯113233∝⪩⨒∯300113))↹⊜((⪩⨒∯121310≒∊⪩⨒∯202132%⪩⨒∯1223220⇴⪩⨒∯310210)⊉≛↸(-⪩⨒∯313121∴⪩⨒∯120310))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":124,"operation_count":13,"complexity_ratio":9.538461538461538,"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":3663,"base":4},"right_expr":{"type":"numeric_atoms","value":3631,"base":4}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1146,"base":4},"right_expr":{"type":"numeric_atoms","value":1152,"base":4}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1519,"base":4},"right_expr":{"type":"numeric_atoms","value":3095,"base":4}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":1652,"base":4},"right_expr":{"type":"numeric_atoms","value":2206,"base":4}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":6888,"base":4},"right_expr":{"type":"numeric_atoms","value":3364,"base":4}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":3545,"base":4},"right_expr":{"type":"numeric_atoms","value":1588,"base":4}}}}},"used_operators":["9bazX3JMtO","GODebY97qR","6iOiAJX1F8","XnXgA4xnOs","NTOWxs364D","rxpJgHHUmx","cTDWOvIxvz","DZ8iAZOCBD","k8jYdgA6NY","5KTvxBwnZo","4JB6nKBMSY","t8gj7n24qd","hrf7POJlIJ"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","sdazOOVcIp","NTOWxs364D","COABgblf1C","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"⪩⨒∯-2311223000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3663","layer":4},{"info":"number node, value=3631","layer":4},{"info":"compute binary expreesion, left_input=3663, right_input=3631, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-5723","layer":3},{"info":"compute unary expreesion, input=-5723, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-57230","layer":2},{"info":"number node, value=1146","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=1146, right_input=1152, 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=1519","layer":4},{"info":"number node, value=3095","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=3095, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1524","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1524, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-57230, 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=1652","layer":4},{"info":"number node, value=2206","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=2206, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-1168","layer":3},{"info":"number node, value=6888","layer":4},{"info":"number node, value=3364","layer":4},{"info":"compute binary expreesion, left_input=6888, right_input=3364, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=47670","layer":3},{"info":"compute binary expreesion, left_input=-1168, right_input=47670, op_id = k8jYdgA6NY binary_op_definition= 'None', output=46502","layer":2},{"info":"number node, value=3545","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=3545, right_input=1588, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=8738","layer":3},{"info":"compute unary expreesion, input=8738, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8738","layer":2},{"info":"compute binary expreesion, left_input=46502, right_input=-8738, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=93004","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=93004, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-744128","layer":0}],"base":4,"result_base":4,"text":"(⩪∧⨌(⪩⨒∯321033⨑≵⋬⪩⨒∯320233))⪟⇏(⪩⨒∯101322≭⪩⨒∯102000⩚⊴⇥(⪩⨒∯113233∝⪩⨒∯300113))↹⊜((⪩⨒∯121310≒∊⪩⨒∯202132%⪩⨒∯1223220⇴⪩⨒∯310210)⊉≛↸(-⪩⨒∯313121∴⪩⨒∯120310))=⪩⨒∯-2311223000","reverse_text":"⪩⨒∯-2311223000=(⩪∧⨌(⪩⨒∯321033⨑≵⋬⪩⨒∯320233))⪟⇏(⪩⨒∯101322≭⪩⨒∯102000⩚⊴⇥(⪩⨒∯113233∝⪩⨒∯300113))↹⊜((⪩⨒∯121310≒∊⪩⨒∯202132%⪩⨒∯1223220⇴⪩⨒∯310210)⊉≛↸(-⪩⨒∯313121∴⪩⨒∯120310))","cot":[{"info":"⪩⨒∯321033⨑≵⋬⪩⨒∯320233=⪩⨒∯-1121123","layer":3},{"info":"⩪∧⨌⪩⨒∯-1121123=⪩⨒∯-31332032","layer":2},{"info":"⪩⨒∯101322≭⪩⨒∯102000=NaN","layer":3},{"info":"⪩⨒∯113233∝⪩⨒∯300113=⪩⨒∯113310","layer":3},{"info":"NaN⩚⊴⇥⪩⨒∯113310=NaN","layer":2},{"info":"⪩⨒∯-31332032⪟⇏NaN=⪩⨒∯0","layer":1},{"info":"⪩⨒∯121310≒∊⪩⨒∯202132=⪩⨒∯-102100","layer":3},{"info":"⪩⨒∯1223220⇴⪩⨒∯310210=⪩⨒∯23220312","layer":3},{"info":"⪩⨒∯-102100%⪩⨒∯23220312=⪩⨒∯23112212","layer":2},{"info":"⪩⨒∯313121∴⪩⨒∯120310=⪩⨒∯2020202","layer":3},{"info":"-⪩⨒∯2020202=⪩⨒∯-2020202","layer":2},{"info":"⪩⨒∯23112212⊉≛↸⪩⨒∯-2020202=⪩⨒∯112231030","layer":1},{"info":"⪩⨒∯0↹⊜⪩⨒∯112231030=⪩⨒∯-2311223000","layer":0}]}
{"id":894,"expression_no_base_symbol":"(⫖→($1068$⊋$1745$⊉≛↸$2937$⊴$3282$))⋣⋖(⪸($1179$≳⇉$3419$∖$1041$⨻⩈⩔$1499$))","expression":"(⫖→(⪩⨒∯100230⊋⪩⨒∯123101⊉≛↸⪩⨒∯231321⊴⪩⨒∯303102))⋣⋖(⪸(⪩⨒∯102123≳⇉⪩⨒∯311123∖⪩⨒∯100101⨻⩈⩔⪩⨒∯113123))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":166181737,"operation_count":9,"complexity_ratio":18464637.444444444,"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":1068,"base":4},"right_expr":{"type":"numeric_atoms","value":1745,"base":4}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2937,"base":4},"right_expr":{"type":"numeric_atoms","value":3282,"base":4}}}},"right_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"binary","operator":"∖","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1179,"base":4},"right_expr":{"type":"numeric_atoms","value":3419,"base":4}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":1041,"base":4},"right_expr":{"type":"numeric_atoms","value":1499,"base":4}}}}},"used_operators":["J0M6qkBnIM","U4ylXWHChL","DZ8iAZOCBD","W4tP9CfskL","Nsiff2A1zJ","86A5ENbKR9","tXD093vOjl","V0kx6qeWkN","nEsXyWgiOK"],"dependent_operators":["VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","tmPS8pqC7x","Ikt5ks8PT7","AFVx7xoS7T","o20kRiQErp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⪩⨒∯2301","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1745, 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=-8495608","layer":3},{"info":"number node, value=2937","layer":4},{"info":"number node, value=3282","layer":4},{"info":"compute binary expreesion, left_input=2937, right_input=3282, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8495608, right_input=nan, 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 = U4ylXWHChL, unary_op_definition = '⫖→a = { (((a⨪↰⇹a)⇌⫙⪟(a⩧⪆a))∸) }', output=177","layer":1},{"info":"number node, value=1179","layer":4},{"info":"number node, value=3419","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=3419, 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=1041","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=1041, right_input=1499, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-174, 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 = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=2273","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=2273, op_id = J0M6qkBnIM binary_op_definition= 'a⋣⋖b = { ((a⨐⩸⫘a)⨫⇇↔(⪓⩚165)) , if ((a↯⫤)>=571 and (b⫻⋑⊟)>=52) ; a , else }', output=177","layer":0}],"base":4,"result_base":4,"text":"(⫖→(⪩⨒∯100230⊋⪩⨒∯123101⊉≛↸⪩⨒∯231321⊴⪩⨒∯303102))⋣⋖(⪸(⪩⨒∯102123≳⇉⪩⨒∯311123∖⪩⨒∯100101⨻⩈⩔⪩⨒∯113123))=⪩⨒∯2301","reverse_text":"⪩⨒∯2301=(⫖→(⪩⨒∯100230⊋⪩⨒∯123101⊉≛↸⪩⨒∯231321⊴⪩⨒∯303102))⋣⋖(⪸(⪩⨒∯102123≳⇉⪩⨒∯311123∖⪩⨒∯100101⨻⩈⩔⪩⨒∯113123))","cot":[{"info":"⪩⨒∯100230⊋⪩⨒∯123101=⪩⨒∯-200122013320","layer":3},{"info":"⪩⨒∯231321⊴⪩⨒∯303102=NaN","layer":3},{"info":"⪩⨒∯-200122013320⊉≛↸NaN=NaN","layer":2},{"info":"⫖→NaN=⪩⨒∯2301","layer":1},{"info":"⪩⨒∯102123≳⇉⪩⨒∯311123=NaN","layer":3},{"info":"⪩⨒∯100101⨻⩈⩔⪩⨒∯113123=⪩⨒∯-2232","layer":3},{"info":"NaN∖⪩⨒∯-2232=⪩⨒∯0","layer":2},{"info":"⪸⪩⨒∯0=⪩⨒∯203201","layer":1},{"info":"⪩⨒∯2301⋣⋖⪩⨒∯203201=⪩⨒∯2301","layer":0}]}
{"id":895,"expression_no_base_symbol":"((⪨⨬($1058$⨓$4162$))⪨≂(⫎≠⋺(↪⫪⫘$1011$)))⊊","expression":"((⪨⨬(⪩⨒∯100202⨓⪩⨒∯1001002))⪨≂(⫎≠⋺(↪⫪⫘⪩⨒∯33303)))⊊","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4515,"operation_count":6,"complexity_ratio":752.5,"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":1058,"base":4},"right_expr":{"type":"numeric_atoms","value":4162,"base":4}}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"unary","operator":"↪⫪⫘","unary_expr":{"type":"numeric_atoms","value":1011,"base":4}}}}},"used_operators":["W9R8I5fN5A","sdazOOVcIp","5obUd6DV38","3ViojmjbAp","LYeZOJ0nQG","9dWsAM3GFt"],"dependent_operators":["DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","rysDP5nf3Z","t8gj7n24qd","T2fj7uvVaJ","nlCqmYiOvY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","DyGG3AbaNP","nREPSIbpBE","rysDP5nf3Z"],"result":"⪩⨒∯112030233","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1058","layer":4},{"info":"number node, value=4162","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=4162, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4165","layer":3},{"info":"compute unary expreesion, input=-4165, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = 9dWsAM3GFt, unary_op_definition = '↪⫪⫘a = { ((a⨚283)∼(a-a)) }', output=20","layer":3},{"info":"compute unary expreesion, input=20, 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=-526, right_input=-709, 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=468","layer":1},{"info":"compute unary expreesion, input=468, 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":4,"result_base":4,"text":"((⪨⨬(⪩⨒∯100202⨓⪩⨒∯1001002))⪨≂(⫎≠⋺(↪⫪⫘⪩⨒∯33303)))⊊=⪩⨒∯112030233","reverse_text":"⪩⨒∯112030233=((⪨⨬(⪩⨒∯100202⨓⪩⨒∯1001002))⪨≂(⫎≠⋺(↪⫪⫘⪩⨒∯33303)))⊊","cot":[{"info":"⪩⨒∯100202⨓⪩⨒∯1001002=⪩⨒∯-1001011","layer":3},{"info":"⪨⨬⪩⨒∯-1001011=⪩⨒∯-20032","layer":2},{"info":"↪⫪⫘⪩⨒∯33303=⪩⨒∯110","layer":3},{"info":"⫎≠⋺⪩⨒∯110=⪩⨒∯-23011","layer":2},{"info":"⪩⨒∯-20032⪨≂⪩⨒∯-23011=⪩⨒∯13110","layer":1},{"info":"⪩⨒∯13110⊊=⪩⨒∯112030233","layer":0}]}
{"id":896,"expression_no_base_symbol":"($5405$⫡⨏$2808$)∺≝⩲($3581$⊢$4000$)∊∟⩊($6852$≒∊$3928$⩧⪆$1908$⫞⩸⩒$4657$)∘(($4231$∙∹∝$5688$↰)≠≀(($2142$⇯⋐)⋻⩜⩜($6453$⩘)))","expression":"(⪩⨒∯1110131⫡⨏⪩⨒∯223320)∺≝⩲(⪩⨒∯313331⊢⪩⨒∯332200)∊∟⩊(⪩⨒∯1223010≒∊⪩⨒∯331120⩧⪆⪩⨒∯131310⫞⩸⩒⪩⨒∯1020301)∘((⪩⨒∯1002013∙∹∝⪩⨒∯1120320↰)≠≀((⪩⨒∯201132⇯⋐)⋻⩜⩜(⪩⨒∯1210311⩘)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1100,"operation_count":14,"complexity_ratio":78.57142857142857,"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":5405,"base":4},"right_expr":{"type":"numeric_atoms","value":2808,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3581,"base":4},"right_expr":{"type":"numeric_atoms","value":4000,"base":4}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":6852,"base":4},"right_expr":{"type":"numeric_atoms","value":3928,"base":4}},"right_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1908,"base":4},"right_expr":{"type":"numeric_atoms","value":4657,"base":4}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"↰","unary_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":4231,"base":4},"right_expr":{"type":"numeric_atoms","value":5688,"base":4}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⇯⋐","unary_expr":{"type":"numeric_atoms","value":2142,"base":4}},"right_expr":{"type":"unary","operator":"⩘","unary_expr":{"type":"numeric_atoms","value":6453,"base":4}}}}},"used_operators":["Z5m6OM72h2","ddLRYrp01A","KPf6cnQVty","QMFrweE19q","5twsqlHp2o","Ikt5ks8PT7","5KTvxBwnZo","XGcMNugi78","IwW236VD4Y","bl5wxAcryP","HmxsFra2vL","oDCm7WA9JY","LkLIoiE525","wvHyciQT5X"],"dependent_operators":["eH2TOUuTDT","rysDP5nf3Z","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","W4YGzv6Whe","t8gj7n24qd","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","eewbuw0ToL","t8gj7n24qd","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","nCS4ZIUYfx","Z2TMIBDE3Q","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","P8v4zCKN1o","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","eewbuw0ToL","QMFrweE19q","9ICcGScMcE","dfKe02y8D2"],"result":"⪩⨒∯-2101202","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5405","layer":4},{"info":"number node, value=2808","layer":4},{"info":"compute binary expreesion, left_input=5405, right_input=2808, 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=33424","layer":3},{"info":"number node, value=3581","layer":4},{"info":"number node, value=4000","layer":4},{"info":"compute binary expreesion, left_input=3581, right_input=4000, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7406","layer":3},{"info":"compute binary expreesion, left_input=33424, right_input=-7406, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"number node, value=6852","layer":4},{"info":"number node, value=3928","layer":4},{"info":"compute binary expreesion, left_input=6852, right_input=3928, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-6368","layer":3},{"info":"number node, value=1908","layer":4},{"info":"number node, value=4657","layer":4},{"info":"compute binary expreesion, left_input=1908, right_input=4657, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4657","layer":3},{"info":"compute binary expreesion, left_input=-6368, right_input=4657, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-4657","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-4657, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=-4657","layer":1},{"info":"number node, value=4231","layer":4},{"info":"number node, value=5688","layer":4},{"info":"compute binary expreesion, left_input=4231, right_input=5688, 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 = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=-101","layer":2},{"info":"number node, value=2142","layer":4},{"info":"compute unary expreesion, input=2142, op_id = LkLIoiE525, unary_op_definition = 'a⇯⋐ = { (((a↺a)⊉≛↸(∥⊫a))⨰((17⫡⨏a)⇼⇔∾a)) }', output=7304","layer":3},{"info":"number node, value=6453","layer":4},{"info":"compute unary expreesion, input=6453, op_id = wvHyciQT5X, unary_op_definition = 'a⩘ = { (≦∁(a⫚↹⊑129)) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=7304, 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=14608","layer":2},{"info":"compute binary expreesion, left_input=-101, right_input=14608, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=508","layer":1},{"info":"compute binary expreesion, left_input=-4657, right_input=508, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-9314","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1110131⫡⨏⪩⨒∯223320)∺≝⩲(⪩⨒∯313331⊢⪩⨒∯332200)∊∟⩊(⪩⨒∯1223010≒∊⪩⨒∯331120⩧⪆⪩⨒∯131310⫞⩸⩒⪩⨒∯1020301)∘((⪩⨒∯1002013∙∹∝⪩⨒∯1120320↰)≠≀((⪩⨒∯201132⇯⋐)⋻⩜⩜(⪩⨒∯1210311⩘)))=⪩⨒∯-2101202","reverse_text":"⪩⨒∯-2101202=(⪩⨒∯1110131⫡⨏⪩⨒∯223320)∺≝⩲(⪩⨒∯313331⊢⪩⨒∯332200)∊∟⩊(⪩⨒∯1223010≒∊⪩⨒∯331120⩧⪆⪩⨒∯131310⫞⩸⩒⪩⨒∯1020301)∘((⪩⨒∯1002013∙∹∝⪩⨒∯1120320↰)≠≀((⪩⨒∯201132⇯⋐)⋻⩜⩜(⪩⨒∯1210311⩘)))","cot":[{"info":"⪩⨒∯1110131⫡⨏⪩⨒∯223320=⪩⨒∯20022100","layer":3},{"info":"⪩⨒∯313331⊢⪩⨒∯332200=⪩⨒∯-1303232","layer":3},{"info":"⪩⨒∯20022100∺≝⩲⪩⨒∯-1303232=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1223010≒∊⪩⨒∯331120=⪩⨒∯-1203200","layer":3},{"info":"⪩⨒∯131310⫞⩸⩒⪩⨒∯1020301=⪩⨒∯1020301","layer":3},{"info":"⪩⨒∯-1203200⩧⪆⪩⨒∯1020301=⪩⨒∯-1020301","layer":2},{"info":"⪩⨒∯2200∊∟⩊⪩⨒∯-1020301=⪩⨒∯-1020301","layer":1},{"info":"⪩⨒∯1002013∙∹∝⪩⨒∯1120320=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0↰=⪩⨒∯-1211","layer":2},{"info":"⪩⨒∯201132⇯⋐=⪩⨒∯1302020","layer":3},{"info":"⪩⨒∯1210311⩘=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1302020⋻⩜⩜⪩⨒∯1003=⪩⨒∯3210100","layer":2},{"info":"⪩⨒∯-1211≠≀⪩⨒∯3210100=⪩⨒∯13330","layer":1},{"info":"⪩⨒∯-1020301∘⪩⨒∯13330=⪩⨒∯-2101202","layer":0}]}
{"id":897,"expression_no_base_symbol":"(($2471$∙⊟$2372$)⪔($2362$⪁$4405$))⨟⋌⩍($5310$⪢$1927$)⫁($1463$⋝⋈⪟$1869$)≒∊(($2159$↬$4823$⇩)⫳≱↱$4429$⊴$7046$⩚⊴⇥($4091$⨵⪆$4182$))","expression":"((⪩⨒∯212213∙⊟⪩⨒∯211010)⪔(⪩⨒∯210322⪁⪩⨒∯1010311))⨟⋌⩍(⪩⨒∯1102332⪢⪩⨒∯132013)⫁(⪩⨒∯112313⋝⋈⪟⪩⨒∯131031)≒∊((⪩⨒∯201233↬⪩⨒∯1023113⇩)⫳≱↱⪩⨒∯1011031⊴⪩⨒∯1232012⩚⊴⇥(⪩⨒∯333323⨵⪆⪩⨒∯1001112))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":246724259,"operation_count":14,"complexity_ratio":17623161.35714286,"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":2471,"base":4},"right_expr":{"type":"numeric_atoms","value":2372,"base":4}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"numeric_atoms","value":2362,"base":4},"right_expr":{"type":"numeric_atoms","value":4405,"base":4}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5310,"base":4},"right_expr":{"type":"numeric_atoms","value":1927,"base":4}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1463,"base":4},"right_expr":{"type":"numeric_atoms","value":1869,"base":4}}}},"right_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2159,"base":4},"right_expr":{"type":"numeric_atoms","value":4823,"base":4}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4429,"base":4},"right_expr":{"type":"numeric_atoms","value":7046,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4091,"base":4},"right_expr":{"type":"numeric_atoms","value":4182,"base":4}}}}},"used_operators":["5KTvxBwnZo","rGHVDoGpnC","GjBEYRfMaF","SxTAKzQCrw","I7sXao9hZE","0ajvFaJAv0","dWAJyo7jo9","2DDjHMKMc0","ZvLB05nZmT","vRio1gEz1j","B5M0gjZbta","NTOWxs364D","Nsiff2A1zJ","2DQ55sFlQl"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Tcnh7f0tEr","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","cHh1gJQ2o6","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2471","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=2372, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=41969","layer":3},{"info":"number node, value=2362","layer":4},{"info":"number node, value=4405","layer":4},{"info":"compute binary expreesion, left_input=2362, right_input=4405, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=41969, 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=5310","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=5310, right_input=1927, 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=1463","layer":4},{"info":"number node, value=1869","layer":4},{"info":"compute binary expreesion, left_input=1463, right_input=1869, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1463","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1463, 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 = 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":"number node, value=2159","layer":4},{"info":"number node, value=4823","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=4823, 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 = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=nan","layer":2},{"info":"number node, value=4429","layer":4},{"info":"number node, value=7046","layer":4},{"info":"compute binary expreesion, left_input=4429, right_input=7046, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4091","layer":4},{"info":"number node, value=4182","layer":4},{"info":"compute binary expreesion, left_input=4091, right_input=4182, 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=nan, right_input=160, 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 = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯212213∙⊟⪩⨒∯211010)⪔(⪩⨒∯210322⪁⪩⨒∯1010311))⨟⋌⩍(⪩⨒∯1102332⪢⪩⨒∯132013)⫁(⪩⨒∯112313⋝⋈⪟⪩⨒∯131031)≒∊((⪩⨒∯201233↬⪩⨒∯1023113⇩)⫳≱↱⪩⨒∯1011031⊴⪩⨒∯1232012⩚⊴⇥(⪩⨒∯333323⨵⪆⪩⨒∯1001112))=NaN","reverse_text":"NaN=((⪩⨒∯212213∙⊟⪩⨒∯211010)⪔(⪩⨒∯210322⪁⪩⨒∯1010311))⨟⋌⩍(⪩⨒∯1102332⪢⪩⨒∯132013)⫁(⪩⨒∯112313⋝⋈⪟⪩⨒∯131031)≒∊((⪩⨒∯201233↬⪩⨒∯1023113⇩)⫳≱↱⪩⨒∯1011031⊴⪩⨒∯1232012⩚⊴⇥(⪩⨒∯333323⨵⪆⪩⨒∯1001112))","cot":[{"info":"⪩⨒∯212213∙⊟⪩⨒∯211010=⪩⨒∯22033301","layer":3},{"info":"⪩⨒∯210322⪁⪩⨒∯1010311=NaN","layer":3},{"info":"⪩⨒∯22033301⪔NaN=NaN","layer":2},{"info":"⪩⨒∯1102332⪢⪩⨒∯132013=NaN","layer":3},{"info":"⪩⨒∯112313⋝⋈⪟⪩⨒∯131031=⪩⨒∯112313","layer":3},{"info":"NaN⫁⪩⨒∯112313=⪩⨒∯2200","layer":2},{"info":"NaN⨟⋌⩍⪩⨒∯2200=NaN","layer":1},{"info":"⪩⨒∯201233↬⪩⨒∯1023113=NaN","layer":3},{"info":"NaN⇩=NaN","layer":2},{"info":"⪩⨒∯1011031⊴⪩⨒∯1232012=NaN","layer":3},{"info":"⪩⨒∯333323⨵⪆⪩⨒∯1001112=⪩⨒∯2200","layer":3},{"info":"NaN⩚⊴⇥⪩⨒∯2200=NaN","layer":2},{"info":"NaN⫳≱↱NaN=NaN","layer":1},{"info":"NaN≒∊NaN=NaN","layer":0}]}
{"id":898,"expression_no_base_symbol":"($1198$⊋$1146$∙⊟$2753$⪛⫼$3599$⫳≱↱(⋼∭⪍$8196$)⨜⨶($6233$↙$1560$))⪥(∂⩏⊆((↸⊣$3002$)⊾⪯⋞($1161$∀⋜↑)))","expression":"(⪩⨒∯102232⊋⪩⨒∯101322∙⊟⪩⨒∯223001⪛⫼⪩⨒∯320033⫳≱↱(⋼∭⪍⪩⨒∯2000010)⨜⨶(⪩⨒∯1201121↙⪩⨒∯120120))⪥(∂⩏⊆((↸⊣⪩⨒∯232322)⊾⪯⋞(⪩⨒∯102021∀⋜↑)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":778096,"operation_count":12,"complexity_ratio":64841.333333333336,"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":4},"right_expr":{"type":"numeric_atoms","value":1146,"base":4}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":2753,"base":4},"right_expr":{"type":"numeric_atoms","value":3599,"base":4}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⋼∭⪍","unary_expr":{"type":"numeric_atoms","value":8196,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6233,"base":4},"right_expr":{"type":"numeric_atoms","value":1560,"base":4}}}},"right_expr":{"type":"unary","operator":"∂⩏⊆","unary_expr":{"type":"binary","operator":"⊾⪯⋞","left_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"numeric_atoms","value":3002,"base":4}},"right_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":1161,"base":4}}}}},"used_operators":["QbnwKVWMIQ","ZvLB05nZmT","SxTAKzQCrw","W4tP9CfskL","hyuBjUqXlG","HiPekx5b7W","DbCuESL50I","yyfyN0ffXY","8WDwsbhb0R","HK0tfVPux8","wztAlM01eG","KipPnG1M2J"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","e1ybzncUwg","sdazOOVcIp","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","u6S6b8DprG","tmPS8pqC7x","DpFCA1CohY","14qkJME0vr","eLAdDNolq6","s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE"],"result":"⪩⨒∯323330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=1146, 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=775684","layer":3},{"info":"number node, value=2753","layer":4},{"info":"number node, value=3599","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=3599, 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=775684, right_input=968, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=10093738","layer":2},{"info":"number node, value=8196","layer":4},{"info":"compute unary expreesion, input=8196, op_id = DbCuESL50I, unary_op_definition = '⋼∭⪍a = { (≉((a∲⫓a)⪨≂(a⪒a))) , if (↽≂a)>481 ; (↽≂((↽≂435)≧⫂∧(↽≂a))) , else }', output=-31044","layer":3},{"info":"number node, value=6233","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=6233, right_input=1560, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4680","layer":3},{"info":"compute binary expreesion, left_input=-31044, right_input=-4680, 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=-337737","layer":2},{"info":"compute binary expreesion, left_input=10093738, right_input=-337737, op_id = ZvLB05nZmT binary_op_definition= 'a⫳≱↱b = { (((a⩹b)⇐≅)∌((a∙∹∝345)⊱⇼⊻(b≎⊠⪸a))) }', output=-204","layer":1},{"info":"number node, value=3002","layer":4},{"info":"compute unary expreesion, input=3002, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-2715","layer":3},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"compute binary expreesion, left_input=-2715, right_input=-484, 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 = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=1304","layer":1},{"info":"compute binary expreesion, left_input=-204, right_input=1304, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=3836","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯102232⊋⪩⨒∯101322∙⊟⪩⨒∯223001⪛⫼⪩⨒∯320033⫳≱↱(⋼∭⪍⪩⨒∯2000010)⨜⨶(⪩⨒∯1201121↙⪩⨒∯120120))⪥(∂⩏⊆((↸⊣⪩⨒∯232322)⊾⪯⋞(⪩⨒∯102021∀⋜↑)))=⪩⨒∯323330","reverse_text":"⪩⨒∯323330=(⪩⨒∯102232⊋⪩⨒∯101322∙⊟⪩⨒∯223001⪛⫼⪩⨒∯320033⫳≱↱(⋼∭⪍⪩⨒∯2000010)⨜⨶(⪩⨒∯1201121↙⪩⨒∯120120))⪥(∂⩏⊆((↸⊣⪩⨒∯232322)⊾⪯⋞(⪩⨒∯102021∀⋜↑)))","cot":[{"info":"⪩⨒∯102232⊋⪩⨒∯101322=⪩⨒∯2331120010","layer":3},{"info":"⪩⨒∯223001⪛⫼⪩⨒∯320033=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯2331120010∙⊟⪩⨒∯33020=⪩⨒∯212200102222","layer":2},{"info":"⋼∭⪍⪩⨒∯2000010=⪩⨒∯-13211010","layer":3},{"info":"⪩⨒∯1201121↙⪩⨒∯120120=⪩⨒∯-1021020","layer":3},{"info":"⪩⨒∯-13211010⨜⨶⪩⨒∯-1021020=⪩⨒∯-1102131021","layer":2},{"info":"⪩⨒∯212200102222⫳≱↱⪩⨒∯-1102131021=⪩⨒∯-3030","layer":1},{"info":"↸⊣⪩⨒∯232322=⪩⨒∯-222123","layer":3},{"info":"⪩⨒∯102021∀⋜↑=⪩⨒∯-13210","layer":3},{"info":"⪩⨒∯-222123⊾⪯⋞⪩⨒∯-13210=⪩⨒∯-30310","layer":2},{"info":"∂⩏⊆⪩⨒∯-30310=⪩⨒∯110120","layer":1},{"info":"⪩⨒∯-3030⪥⪩⨒∯110120=⪩⨒∯323330","layer":0}]}
{"id":899,"expression_no_base_symbol":"($3602$⪛$1126$⩇∃⫛($4527$+$2243$))⨂≜((↔$1509$)⨫⇇↔($4828$⊋≦⊧$4483$))∀⋜↑","expression":"(⪩⨒∯320102⪛⪩⨒∯101212⩇∃⫛(⪩⨒∯1012233+⪩⨒∯203003))⨂≜((↔⪩⨒∯113211)⨫⇇↔(⪩⨒∯1023130⊋≦⊧⪩⨒∯1012003))∀⋜↑","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":297066,"operation_count":8,"complexity_ratio":37133.25,"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":3602,"base":4},"right_expr":{"type":"numeric_atoms","value":1126,"base":4}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4527,"base":4},"right_expr":{"type":"numeric_atoms","value":2243,"base":4}}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1509,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4828,"base":4},"right_expr":{"type":"numeric_atoms","value":4483,"base":4}}}}},"used_operators":["KipPnG1M2J","k1SHOSEABc","1aApVXNlOP","uFcxV4UQCh","W4YGzv6Whe","LXhwmt4mBO","ruOEQAzv1W","oRDoc9rAEX"],"dependent_operators":["eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3602","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=3602, right_input=1126, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=224","layer":3},{"info":"number node, value=4527","layer":4},{"info":"number node, value=2243","layer":4},{"info":"compute binary expreesion, left_input=4527, right_input=2243, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6770","layer":3},{"info":"compute binary expreesion, left_input=224, right_input=6770, 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=7019","layer":2},{"info":"number node, value=1509","layer":4},{"info":"compute unary expreesion, input=1509, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1236","layer":3},{"info":"number node, value=4828","layer":4},{"info":"number node, value=4483","layer":4},{"info":"compute binary expreesion, left_input=4828, right_input=4483, 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=-8726","layer":3},{"info":"compute binary expreesion, left_input=-1236, right_input=-8726, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":2},{"info":"compute binary expreesion, left_input=7019, right_input=-527, 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 = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯320102⪛⪩⨒∯101212⩇∃⫛(⪩⨒∯1012233+⪩⨒∯203003))⨂≜((↔⪩⨒∯113211)⨫⇇↔(⪩⨒∯1023130⊋≦⊧⪩⨒∯1012003))∀⋜↑=NaN","reverse_text":"NaN=(⪩⨒∯320102⪛⪩⨒∯101212⩇∃⫛(⪩⨒∯1012233+⪩⨒∯203003))⨂≜((↔⪩⨒∯113211)⨫⇇↔(⪩⨒∯1023130⊋≦⊧⪩⨒∯1012003))∀⋜↑","cot":[{"info":"⪩⨒∯320102⪛⪩⨒∯101212=⪩⨒∯3200","layer":3},{"info":"⪩⨒∯1012233+⪩⨒∯203003=⪩⨒∯1221302","layer":3},{"info":"⪩⨒∯3200⩇∃⫛⪩⨒∯1221302=⪩⨒∯1231223","layer":2},{"info":"↔⪩⨒∯113211=⪩⨒∯-103110","layer":3},{"info":"⪩⨒∯1023130⊋≦⊧⪩⨒∯1012003=⪩⨒∯-2020112","layer":3},{"info":"⪩⨒∯-103110⨫⇇↔⪩⨒∯-2020112=⪩⨒∯-20033","layer":2},{"info":"⪩⨒∯1231223⨂≜⪩⨒∯-20033=NaN","layer":1},{"info":"NaN∀⋜↑=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"(≋($1193$∝$2839$))⋛($2321$⊬⫿⊭)⨔⇊($2665$⨫⇇↔$6119$)∀⇚≩((⩷($4875$+$4516$))⨓(($2976$⫽⇹≛)⋻⩜⩜$1515$⇴$4217$))","expression":"(≋(⪩⨒∯102221∝⪩⨒∯230113))⋛(⪩⨒∯210101⊬⫿⊭)⨔⇊(⪩⨒∯221221⨫⇇↔⪩⨒∯1133213)∀⇚≩((⩷(⪩⨒∯1030023+⪩⨒∯1012210))⨓((⪩⨒∯232200⫽⇹≛)⋻⩜⩜⪩⨒∯113223⇴⪩⨒∯1001321))","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":827148,"operation_count":13,"complexity_ratio":63626.769230769234,"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":1193,"base":4},"right_expr":{"type":"numeric_atoms","value":2839,"base":4}}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"unary","operator":"⊬⫿⊭","unary_expr":{"type":"numeric_atoms","value":2321,"base":4}},"right_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":2665,"base":4},"right_expr":{"type":"numeric_atoms","value":6119,"base":4}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4875,"base":4},"right_expr":{"type":"numeric_atoms","value":4516,"base":4}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"⫽⇹≛","unary_expr":{"type":"numeric_atoms","value":2976,"base":4}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"numeric_atoms","value":1515,"base":4},"right_expr":{"type":"numeric_atoms","value":4217,"base":4}}}}},"used_operators":["LRNGc0VcxI","YbUVn0Rbpy","61wBmkZwlr","cTDWOvIxvz","JclMnS0uGI","v0DYgG9ikt","LXhwmt4mBO","3ViojmjbAp","1h0rLqGiFr","W4YGzv6Whe","oDCm7WA9JY","NNaDxxp6OQ","4JB6nKBMSY"],"dependent_operators":["X99M06cbEe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","7j4O788W3g","7j4O788W3g","W4YGzv6Whe","COABgblf1C","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","KbjG8mgYpV","AdZkA7nFnk","IWmyXbctLI","sdazOOVcIp","NTOWxs364D","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1193","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=1193, right_input=2839, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1198","layer":3},{"info":"compute unary expreesion, input=1198, op_id = 61wBmkZwlr, unary_op_definition = '≋a = { (a↺a) }', output=1198","layer":2},{"info":"number node, value=2321","layer":4},{"info":"compute unary expreesion, input=2321, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=-6963","layer":3},{"info":"number node, value=2665","layer":4},{"info":"number node, value=6119","layer":4},{"info":"compute binary expreesion, left_input=2665, right_input=6119, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"compute binary expreesion, left_input=-6963, right_input=-527, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=-39549","layer":2},{"info":"compute binary expreesion, left_input=1198, right_input=-39549, 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=-118002","layer":1},{"info":"number node, value=4875","layer":4},{"info":"number node, value=4516","layer":4},{"info":"compute binary expreesion, left_input=4875, right_input=4516, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9391","layer":3},{"info":"compute unary expreesion, input=9391, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-112771","layer":2},{"info":"number node, value=2976","layer":4},{"info":"compute unary expreesion, input=2976, op_id = NNaDxxp6OQ, unary_op_definition = 'a⫽⇹≛ = { ((113⋅⇍170)⪮%⊝(a∠↢a)) }', output=272","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=4217","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=4217, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=17138","layer":3},{"info":"compute binary expreesion, left_input=272, right_input=17138, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=836","layer":2},{"info":"compute binary expreesion, left_input=-112771, right_input=836, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-839","layer":1},{"info":"compute binary expreesion, left_input=-118002, right_input=-839, 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":4,"result_base":4,"text":"(≋(⪩⨒∯102221∝⪩⨒∯230113))⋛(⪩⨒∯210101⊬⫿⊭)⨔⇊(⪩⨒∯221221⨫⇇↔⪩⨒∯1133213)∀⇚≩((⩷(⪩⨒∯1030023+⪩⨒∯1012210))⨓((⪩⨒∯232200⫽⇹≛)⋻⩜⩜⪩⨒∯113223⇴⪩⨒∯1001321))=NaN","reverse_text":"NaN=(≋(⪩⨒∯102221∝⪩⨒∯230113))⋛(⪩⨒∯210101⊬⫿⊭)⨔⇊(⪩⨒∯221221⨫⇇↔⪩⨒∯1133213)∀⇚≩((⩷(⪩⨒∯1030023+⪩⨒∯1012210))⨓((⪩⨒∯232200⫽⇹≛)⋻⩜⩜⪩⨒∯113223⇴⪩⨒∯1001321))","cot":[{"info":"⪩⨒∯102221∝⪩⨒∯230113=⪩⨒∯102232","layer":3},{"info":"≋⪩⨒∯102232=⪩⨒∯102232","layer":2},{"info":"⪩⨒∯210101⊬⫿⊭=⪩⨒∯-1230303","layer":3},{"info":"⪩⨒∯221221⨫⇇↔⪩⨒∯1133213=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯-1230303⨔⇊⪩⨒∯-20033=⪩⨒∯-21221331","layer":2},{"info":"⪩⨒∯102232⋛⪩⨒∯-21221331=⪩⨒∯-130303302","layer":1},{"info":"⪩⨒∯1030023+⪩⨒∯1012210=⪩⨒∯2102233","layer":3},{"info":"⩷⪩⨒∯2102233=⪩⨒∯-123202003","layer":2},{"info":"⪩⨒∯232200⫽⇹≛=⪩⨒∯10100","layer":3},{"info":"⪩⨒∯113223⇴⪩⨒∯1001321=⪩⨒∯10023302","layer":3},{"info":"⪩⨒∯10100⋻⩜⩜⪩⨒∯10023302=⪩⨒∯31010","layer":2},{"info":"⪩⨒∯-123202003⨓⪩⨒∯31010=⪩⨒∯-31013","layer":1},{"info":"⪩⨒∯-130303302∀⇚≩⪩⨒∯-31013=NaN","layer":0}]}
{"id":901,"expression_no_base_symbol":"($7606$⫡⨏$5137$⫚↹⊑($1923$∟))↤⩊($3281$⩧⪆$1804$⪨≂$6835$⫯⪬∳$4116$)≝⊿(⊢≑≆(($5182$⫳≱↱$3092$)⇗⋫))","expression":"(⪩⨒∯1312312⫡⨏⪩⨒∯1100101⫚↹⊑(⪩⨒∯132003∟))↤⩊(⪩⨒∯303101⩧⪆⪩⨒∯130030⪨≂⪩⨒∯1222303⫯⪬∳⪩⨒∯1000110)≝⊿(⊢≑≆((⪩⨒∯1100332⫳≱↱⪩⨒∯300110)⇗⋫))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":602,"operation_count":11,"complexity_ratio":54.72727272727273,"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":7606,"base":4},"right_expr":{"type":"numeric_atoms","value":5137,"base":4}},"right_expr":{"type":"unary","operator":"∟","unary_expr":{"type":"numeric_atoms","value":1923,"base":4}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3281,"base":4},"right_expr":{"type":"numeric_atoms","value":1804,"base":4}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"numeric_atoms","value":6835,"base":4},"right_expr":{"type":"numeric_atoms","value":4116,"base":4}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"unary","operator":"⇗⋫","unary_expr":{"type":"binary","operator":"⫳≱↱","left_expr":{"type":"numeric_atoms","value":5182,"base":4},"right_expr":{"type":"numeric_atoms","value":3092,"base":4}}}}},"used_operators":["OKKcZfAt5B","13rbtpv6ld","dfKe02y8D2","QMFrweE19q","hTbEZDJLEm","sdazOOVcIp","Ikt5ks8PT7","d7ASUq0ydm","27wFxooxGf","hpqmaQFPrd","ZvLB05nZmT"],"dependent_operators":["12rbrZMWeM","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","t8gj7n24qd","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","rxpJgHHUmx","2Wsdkap16l","FyVja0WsTP","wEfv7U73WA","bJkvcejdHO","HmxsFra2vL","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7606","layer":4},{"info":"number node, value=5137","layer":4},{"info":"compute binary expreesion, left_input=7606, right_input=5137, 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=49087","layer":3},{"info":"number node, value=1923","layer":4},{"info":"compute unary expreesion, input=1923, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"compute binary expreesion, left_input=49087, right_input=113, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=3281","layer":4},{"info":"number node, value=1804","layer":4},{"info":"compute binary expreesion, left_input=3281, right_input=1804, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1804","layer":3},{"info":"number node, value=6835","layer":4},{"info":"number node, value=4116","layer":4},{"info":"compute binary expreesion, left_input=6835, right_input=4116, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=30092","layer":3},{"info":"compute binary expreesion, left_input=-1804, right_input=30092, 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=-63690","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=-63690, op_id = 13rbtpv6ld binary_op_definition= 'a↤⩊b = { ((a⫥∨⫟63)⇐≅) , if (a∺≝⩲71)<727 ; ((b%b)⊕∕(b≓∲14)) , else }', output=nan","layer":1},{"info":"number node, value=5182","layer":4},{"info":"number node, value=3092","layer":4},{"info":"compute binary expreesion, left_input=5182, right_input=3092, 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 = hpqmaQFPrd, unary_op_definition = 'a⇗⋫ = { (a≭a) }', 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 binary expreesion, left_input=nan, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1312312⫡⨏⪩⨒∯1100101⫚↹⊑(⪩⨒∯132003∟))↤⩊(⪩⨒∯303101⩧⪆⪩⨒∯130030⪨≂⪩⨒∯1222303⫯⪬∳⪩⨒∯1000110)≝⊿(⊢≑≆((⪩⨒∯1100332⫳≱↱⪩⨒∯300110)⇗⋫))=NaN","reverse_text":"NaN=(⪩⨒∯1312312⫡⨏⪩⨒∯1100101⫚↹⊑(⪩⨒∯132003∟))↤⩊(⪩⨒∯303101⩧⪆⪩⨒∯130030⪨≂⪩⨒∯1222303⫯⪬∳⪩⨒∯1000110)≝⊿(⊢≑≆((⪩⨒∯1100332⫳≱↱⪩⨒∯300110)⇗⋫))","cot":[{"info":"⪩⨒∯1312312⫡⨏⪩⨒∯1100101=⪩⨒∯23332333","layer":3},{"info":"⪩⨒∯132003∟=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯23332333⫚↹⊑⪩⨒∯1301=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯303101⩧⪆⪩⨒∯130030=⪩⨒∯-130030","layer":3},{"info":"⪩⨒∯1222303⫯⪬∳⪩⨒∯1000110=⪩⨒∯13112030","layer":3},{"info":"⪩⨒∯-130030⪨≂⪩⨒∯13112030=⪩⨒∯-33203022","layer":2},{"info":"⪩⨒∯-12333↤⩊⪩⨒∯-33203022=NaN","layer":1},{"info":"⪩⨒∯1100332⫳≱↱⪩⨒∯300110=⪩⨒∯-3030","layer":3},{"info":"⪩⨒∯-3030⇗⋫=NaN","layer":2},{"info":"⊢≑≆NaN=NaN","layer":1},{"info":"NaN≝⊿NaN=NaN","layer":0}]}
{"id":902,"expression_no_base_symbol":"($3630$⫁⪎$8672$⊋≦⊧($1685$↙$3395$)+($1715$≫≃)⊉≛↸$5612$∝$5088$)↺($4252$≴⪞⇿$1135$∑⇟⊟(⪛⨧$5515$))⨐((⇐$5251$)⨐($1233$⫰⋱$7185$))","expression":"(⪩⨒∯320232⫁⪎⪩⨒∯2013200⊋≦⊧(⪩⨒∯122111↙⪩⨒∯311003)+(⪩⨒∯122303≫≃)⊉≛↸⪩⨒∯1113230∝⪩⨒∯1033200)↺(⪩⨒∯1002130≴⪞⇿⪩⨒∯101233∑⇟⊟(⪛⨧⪩⨒∯1112023))⨐((⇐⪩⨒∯1102003)⨐(⪩⨒∯103101⫰⋱⪩⨒∯1300101))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":7532,"operation_count":15,"complexity_ratio":502.1333333333333,"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":3630,"base":4},"right_expr":{"type":"numeric_atoms","value":8672,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1685,"base":4},"right_expr":{"type":"numeric_atoms","value":3395,"base":4}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1715,"base":4}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":5612,"base":4},"right_expr":{"type":"numeric_atoms","value":5088,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≴⪞⇿","left_expr":{"type":"numeric_atoms","value":4252,"base":4},"right_expr":{"type":"numeric_atoms","value":1135,"base":4}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":5515,"base":4}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":5251,"base":4}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1233,"base":4},"right_expr":{"type":"numeric_atoms","value":7185,"base":4}}}}},"used_operators":["7j4O788W3g","W4YGzv6Whe","oRDoc9rAEX","xRrnTEsQ6j","yyfyN0ffXY","DZ8iAZOCBD","X99M06cbEe","cTDWOvIxvz","Noe24qw2ks","U7g4x0WXJJ","lvlrscuwVU","6NJAcO2OWT","nmZMaaE0Q9","6o9Blt3TJ6"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","7j4O788W3g","W4YGzv6Whe","COABgblf1C","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DpFCA1CohY","Qy55tPpLXF","Bmrmz2XGnR","srAu1WTS94","AF7qkfDlqP","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3630","layer":4},{"info":"number node, value=8672","layer":4},{"info":"compute binary expreesion, left_input=3630, right_input=8672, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-5042","layer":3},{"info":"number node, value=1685","layer":4},{"info":"number node, value=3395","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=3395, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10185","layer":3},{"info":"compute binary expreesion, left_input=-5042, right_input=-10185, 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=1715","layer":4},{"info":"compute unary expreesion, input=1715, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4831","layer":3},{"info":"number node, value=5612","layer":4},{"info":"number node, value=5088","layer":4},{"info":"compute binary expreesion, left_input=5612, right_input=5088, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=5617","layer":3},{"info":"compute binary expreesion, left_input=4831, right_input=5617, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9662","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=9662, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9854","layer":1},{"info":"number node, value=4252","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=4252, right_input=1135, op_id = lvlrscuwVU binary_op_definition= 'a≴⪞⇿b = { ((⋗⩬⋾(b≚⊃≕166))⋥≓≎(⨵≀≌(⨑⩽⪐a))) }', output=31665116","layer":3},{"info":"number node, value=5515","layer":4},{"info":"compute unary expreesion, input=5515, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=12431","layer":3},{"info":"compute binary expreesion, left_input=31665116, right_input=12431, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5251","layer":4},{"info":"compute unary expreesion, input=5251, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=18732","layer":3},{"info":"number node, value=1233","layer":4},{"info":"number node, value=7185","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=7185, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1200","layer":3},{"info":"compute binary expreesion, left_input=18732, right_input=-1200, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-37464","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-37464, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9854, 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":4,"result_base":4,"text":"(⪩⨒∯320232⫁⪎⪩⨒∯2013200⊋≦⊧(⪩⨒∯122111↙⪩⨒∯311003)+(⪩⨒∯122303≫≃)⊉≛↸⪩⨒∯1113230∝⪩⨒∯1033200)↺(⪩⨒∯1002130≴⪞⇿⪩⨒∯101233∑⇟⊟(⪛⨧⪩⨒∯1112023))⨐((⇐⪩⨒∯1102003)⨐(⪩⨒∯103101⫰⋱⪩⨒∯1300101))=NaN","reverse_text":"NaN=(⪩⨒∯320232⫁⪎⪩⨒∯2013200⊋≦⊧(⪩⨒∯122111↙⪩⨒∯311003)+(⪩⨒∯122303≫≃)⊉≛↸⪩⨒∯1113230∝⪩⨒∯1033200)↺(⪩⨒∯1002130≴⪞⇿⪩⨒∯101233∑⇟⊟(⪛⨧⪩⨒∯1112023))⨐((⇐⪩⨒∯1102003)⨐(⪩⨒∯103101⫰⋱⪩⨒∯1300101))","cot":[{"info":"⪩⨒∯320232⫁⪎⪩⨒∯2013200=⪩⨒∯-1032302","layer":3},{"info":"⪩⨒∯122111↙⪩⨒∯311003=⪩⨒∯-2133021","layer":3},{"info":"⪩⨒∯-1032302⊋≦⊧⪩⨒∯-2133021=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯122303≫≃=⪩⨒∯1023133","layer":3},{"info":"⪩⨒∯1113230∝⪩⨒∯1033200=⪩⨒∯1113301","layer":3},{"info":"⪩⨒∯1023133⊉≛↸⪩⨒∯1113301=⪩⨒∯2112332","layer":2},{"info":"⪩⨒∯3000+⪩⨒∯2112332=⪩⨒∯2121332","layer":1},{"info":"⪩⨒∯1002130≴⪞⇿⪩⨒∯101233=⪩⨒∯1320302233130","layer":3},{"info":"⪛⨧⪩⨒∯1112023=⪩⨒∯3002033","layer":3},{"info":"⪩⨒∯1320302233130∑⇟⊟⪩⨒∯3002033=NaN","layer":2},{"info":"⇐⪩⨒∯1102003=⪩⨒∯10210230","layer":3},{"info":"⪩⨒∯103101⫰⋱⪩⨒∯1300101=⪩⨒∯-102300","layer":3},{"info":"⪩⨒∯10210230⨐⪩⨒∯-102300=⪩⨒∯-21021120","layer":2},{"info":"NaN⨐⪩⨒∯-21021120=NaN","layer":1},{"info":"⪩⨒∯2121332↺NaN=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"(≪($5015$⊔$2187$))↬($5445$⩅⪻⪻)⪃⊛⇣($6164$∘$1307$)↡⊰⫅(⊿(⇺⋃($1255$⩒⫫$4544$)))","expression":"(≪(⪩⨒∯1032113⊔⪩⨒∯202023))↬(⪩⨒∯1111011⩅⪻⪻)⪃⊛⇣(⪩⨒∯1200110∘⪩⨒∯110123)↡⊰⫅(⊿(⇺⋃(⪩⨒∯103213⩒⫫⪩⨒∯1013000)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":977939,"operation_count":10,"complexity_ratio":97793.9,"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":5015,"base":4},"right_expr":{"type":"numeric_atoms","value":2187,"base":4}}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"unary","operator":"⩅⪻⪻","unary_expr":{"type":"numeric_atoms","value":5445,"base":4}},"right_expr":{"type":"binary","operator":"∘","left_expr":{"type":"numeric_atoms","value":6164,"base":4},"right_expr":{"type":"numeric_atoms","value":1307,"base":4}}}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1255,"base":4},"right_expr":{"type":"numeric_atoms","value":4544,"base":4}}}}},"used_operators":["VCtxkLNOzz","B5M0gjZbta","Qtd6bqUJcN","E4l6HwMY31","rrgAzCduG9","kHoXpA7yos","Z5m6OM72h2","DO4fhlbJSI","E5v5B3UAjG","KFSx94NKJn"],"dependent_operators":["Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","rGHVDoGpnC","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","SUmda5xLS4","KPf6cnQVty","8HhzD0ZcuI","9Isq31Ruls","eH2TOUuTDT","rysDP5nf3Z","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5015","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=5015, right_input=2187, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=18565","layer":3},{"info":"compute unary expreesion, input=18565, 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=5445","layer":4},{"info":"compute unary expreesion, input=5445, op_id = kHoXpA7yos, unary_op_definition = 'a⩅⪻⪻ = { (a⪄((a∌↝a)⨽(a∺≝⩲a))) }', output=-805285","layer":3},{"info":"number node, value=6164","layer":4},{"info":"number node, value=1307","layer":4},{"info":"compute binary expreesion, left_input=6164, right_input=1307, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=12328","layer":3},{"info":"compute binary expreesion, left_input=-805285, right_input=12328, 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=913, right_input=1234, 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=1255","layer":4},{"info":"number node, value=4544","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=4544, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=953","layer":3},{"info":"compute unary expreesion, input=953, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=4209","layer":2},{"info":"compute unary expreesion, input=4209, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-17574","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-17574, 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":0}],"base":4,"result_base":4,"text":"(≪(⪩⨒∯1032113⊔⪩⨒∯202023))↬(⪩⨒∯1111011⩅⪻⪻)⪃⊛⇣(⪩⨒∯1200110∘⪩⨒∯110123)↡⊰⫅(⊿(⇺⋃(⪩⨒∯103213⩒⫫⪩⨒∯1013000)))=NaN","reverse_text":"NaN=(≪(⪩⨒∯1032113⊔⪩⨒∯202023))↬(⪩⨒∯1111011⩅⪻⪻)⪃⊛⇣(⪩⨒∯1200110∘⪩⨒∯110123)↡⊰⫅(⊿(⇺⋃(⪩⨒∯103213⩒⫫⪩⨒∯1013000)))","cot":[{"info":"⪩⨒∯1032113⊔⪩⨒∯202023=⪩⨒∯10202011","layer":3},{"info":"≪⪩⨒∯10202011=⪩⨒∯32101","layer":2},{"info":"⪩⨒∯1111011⩅⪻⪻=⪩⨒∯-3010212211","layer":3},{"info":"⪩⨒∯1200110∘⪩⨒∯110123=⪩⨒∯3000220","layer":3},{"info":"⪩⨒∯-3010212211⪃⊛⇣⪩⨒∯3000220=⪩⨒∯103102","layer":2},{"info":"⪩⨒∯32101↬⪩⨒∯103102=NaN","layer":1},{"info":"⪩⨒∯103213⩒⫫⪩⨒∯1013000=⪩⨒∯32321","layer":3},{"info":"⇺⋃⪩⨒∯32321=⪩⨒∯1001301","layer":2},{"info":"⊿⪩⨒∯1001301=⪩⨒∯-10102212","layer":1},{"info":"NaN↡⊰⫅⪩⨒∯-10102212=NaN","layer":0}]}
{"id":904,"expression_no_base_symbol":"((($2306$⨘)⋻⩜⩜($4364$⫩⊇))⇀∌)⨸⪁(($5500$↱$1001$)⨱∎)⊴($1602$↓$8563$)⨸($3147$⪐)","expression":"(((⪩⨒∯210002⨘)⋻⩜⩜(⪩⨒∯1010030⫩⊇))⇀∌)⨸⪁((⪩⨒∯1111330↱⪩⨒∯33221)⨱∎)⊴(⪩⨒∯121002↓⪩⨒∯2011303)⨸(⪩⨒∯301023⪐)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":183379,"operation_count":11,"complexity_ratio":16670.81818181818,"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":2306,"base":4}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4364,"base":4}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨱∎","unary_expr":{"type":"binary","operator":"↱","left_expr":{"type":"numeric_atoms","value":5500,"base":4},"right_expr":{"type":"numeric_atoms","value":1001,"base":4}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":1602,"base":4},"right_expr":{"type":"numeric_atoms","value":8563,"base":4}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3147,"base":4}}}}},"used_operators":["g55IO6H4Gj","2k53nXOpI5","oDCm7WA9JY","ljcfZBUpm8","BjRHVeLaeN","Nsiff2A1zJ","MmTdOpaElr","SR5kFfdi6N","KmoU8R5UQR","Af076pWI7l","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","Q3PJZHRvZv","ddLRYrp01A","AcOhelriW5","7t3wd0Fuz7","3tVxb0NHM4","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2306","layer":4},{"info":"compute unary expreesion, input=2306, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-16917","layer":3},{"info":"number node, value=4364","layer":4},{"info":"compute unary expreesion, input=4364, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4322","layer":3},{"info":"compute binary expreesion, left_input=-16917, right_input=-4322, 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 unary expreesion, input=nan, op_id = 2k53nXOpI5, unary_op_definition = 'a⇀∌ = { ((a⪎↠(⨣⨃⇪a))⋥⋵⩄(a∊∟⩊(⊥a))) }', output=nan","layer":1},{"info":"number node, value=5500","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=5500, right_input=1001, 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=-2481","layer":3},{"info":"compute unary expreesion, input=-2481, op_id = MmTdOpaElr, unary_op_definition = 'a⨱∎ = { (a⇼⇔∾a) }', output=0","layer":2},{"info":"number node, value=1602","layer":4},{"info":"number node, value=8563","layer":4},{"info":"compute binary expreesion, left_input=1602, right_input=8563, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=3147","layer":4},{"info":"compute unary expreesion, input=3147, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6294","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=6294, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=1202354","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1202354, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":4,"result_base":4,"text":"(((⪩⨒∯210002⨘)⋻⩜⩜(⪩⨒∯1010030⫩⊇))⇀∌)⨸⪁((⪩⨒∯1111330↱⪩⨒∯33221)⨱∎)⊴(⪩⨒∯121002↓⪩⨒∯2011303)⨸(⪩⨒∯301023⪐)=NaN","reverse_text":"NaN=(((⪩⨒∯210002⨘)⋻⩜⩜(⪩⨒∯1010030⫩⊇))⇀∌)⨸⪁((⪩⨒∯1111330↱⪩⨒∯33221)⨱∎)⊴(⪩⨒∯121002↓⪩⨒∯2011303)⨸(⪩⨒∯301023⪐)","cot":[{"info":"⪩⨒∯210002⨘=⪩⨒∯-10020111","layer":3},{"info":"⪩⨒∯1010030⫩⊇=⪩⨒∯-1003202","layer":3},{"info":"⪩⨒∯-10020111⋻⩜⩜⪩⨒∯-1003202=NaN","layer":2},{"info":"NaN⇀∌=NaN","layer":1},{"info":"⪩⨒∯1111330↱⪩⨒∯33221=⪩⨒∯-212301","layer":3},{"info":"⪩⨒∯-212301⨱∎=⪩⨒∯0","layer":2},{"info":"⪩⨒∯121002↓⪩⨒∯2011303=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯301023⪐=⪩⨒∯1202112","layer":3},{"info":"⪩⨒∯-2012⨸⪩⨒∯1202112=⪩⨒∯10211202302","layer":2},{"info":"⪩⨒∯0⊴⪩⨒∯10211202302=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"≻⋜($1167$≌$1093$∣($1352$≳⇉$4455$)⩇∃⫛((⪨⨬$1378$)↯⫤))","expression":"≻⋜(⪩⨒∯102033≌⪩⨒∯101011∣(⪩⨒∯111020≳⇉⪩⨒∯1011213)⩇∃⫛((⪨⨬⪩⨒∯111202)↯⫤))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":234659931,"operation_count":7,"complexity_ratio":33522847.285714287,"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":1167,"base":4},"right_expr":{"type":"numeric_atoms","value":1093,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":1352,"base":4},"right_expr":{"type":"numeric_atoms","value":4455,"base":4}}},"right_expr":{"type":"unary","operator":"↯⫤","unary_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":1378,"base":4}}}}},"used_operators":["3tj9sqzovi","1aApVXNlOP","PPChnnnBFF","lyWz822IDG","V0kx6qeWkN","VwlE7vj6HS","5obUd6DV38"],"dependent_operators":["XGcMNugi78","dWAJyo7jo9","Tw270M8GLb","Y7wcNGrDQJ","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","W4YGzv6Whe","23Mk6UjR3U","tifHPKVTfV","glklzrTFfD","eH2TOUuTDT","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","g55IO6H4Gj","nCS4ZIUYfx","T2fj7uvVaJ","nlCqmYiOvY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1167","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=1093, 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=1352","layer":4},{"info":"number node, value=4455","layer":4},{"info":"compute binary expreesion, left_input=1352, right_input=4455, 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=nan, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":2},{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute unary expreesion, input=-526, op_id = VwlE7vj6HS, unary_op_definition = 'a↯⫤ = { (((-a)⋝⋈⪟(a⨳⩥⨓a))⨸⪁((a⨁⊸⫻)⇼⇔∾(a+a))) , if (a⋷221)!=277 ; (((300⪐)⨁⊸⫻)⇼⇔∾(a≧⫂∧(26≧⫂∧87))) , else }', output=1052","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1052, 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 unary expreesion, input=nan, op_id = 3tj9sqzovi, unary_op_definition = '≻⋜a = { (((a⩵∡a)⫞⩸⩒(⨰⫟⨤a))⪢a) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"≻⋜(⪩⨒∯102033≌⪩⨒∯101011∣(⪩⨒∯111020≳⇉⪩⨒∯1011213)⩇∃⫛((⪨⨬⪩⨒∯111202)↯⫤))=NaN","reverse_text":"NaN=≻⋜(⪩⨒∯102033≌⪩⨒∯101011∣(⪩⨒∯111020≳⇉⪩⨒∯1011213)⩇∃⫛((⪨⨬⪩⨒∯111202)↯⫤))","cot":[{"info":"⪩⨒∯102033≌⪩⨒∯101011=NaN","layer":3},{"info":"⪩⨒∯111020≳⇉⪩⨒∯1011213=NaN","layer":3},{"info":"NaN∣NaN=NaN","layer":2},{"info":"⪨⨬⪩⨒∯111202=⪩⨒∯-20032","layer":3},{"info":"⪩⨒∯-20032↯⫤=⪩⨒∯100130","layer":2},{"info":"NaN⩇∃⫛⪩⨒∯100130=NaN","layer":1},{"info":"≻⋜NaN=NaN","layer":0}]}
{"id":906,"expression_no_base_symbol":"(⊊≼∋($1007$↙$6413$≀⩗∶(⪫⨮⊛$2782$)))⩁⩘(((∂$7905$)⪹)∌↝($2715$⊋$2010$⇴($2961$↙$3014$)))","expression":"(⊊≼∋(⪩⨒∯33233↙⪩⨒∯1210031≀⩗∶(⪫⨮⊛⪩⨒∯223132)))⩁⩘(((∂⪩⨒∯1323201)⪹)∌↝(⪩⨒∯222123⊋⪩⨒∯133122⇴(⪩⨒∯232101↙⪩⨒∯233012)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1687951,"operation_count":11,"complexity_ratio":153450.0909090909,"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":1007,"base":4},"right_expr":{"type":"numeric_atoms","value":6413,"base":4}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2782,"base":4}}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7905,"base":4}}},"right_expr":{"type":"binary","operator":"⇴","left_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"numeric_atoms","value":2715,"base":4},"right_expr":{"type":"numeric_atoms","value":2010,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2961,"base":4},"right_expr":{"type":"numeric_atoms","value":3014,"base":4}}}}},"used_operators":["gub5Cegaqo","FWz7pXsQhA","8INZBEW696","yyfyN0ffXY","w5FWba1tyO","9Isq31Ruls","B3sABdIn96","Uaa54Peajs","4JB6nKBMSY","W4tP9CfskL"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","B5M0gjZbta","jCPkEVoL5K","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","tmPS8pqC7x","DpFCA1CohY","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","9FxExcQeMw","e1ybzncUwg","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","sdazOOVcIp","NTOWxs364D","COABgblf1C","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=6413","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=6413, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19239","layer":3},{"info":"number node, value=2782","layer":4},{"info":"compute unary expreesion, input=2782, 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=-19239, 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 = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":1},{"info":"number node, value=7905","layer":4},{"info":"compute unary expreesion, input=7905, 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 = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=nan","layer":2},{"info":"number node, value=2715","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=2010, 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=11484384","layer":3},{"info":"number node, value=2961","layer":4},{"info":"number node, value=3014","layer":4},{"info":"compute binary expreesion, left_input=2961, right_input=3014, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9042","layer":3},{"info":"compute binary expreesion, left_input=11484384, right_input=-9042, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=68887834","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=68887834, 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 binary expreesion, left_input=nan, right_input=nan, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⊊≼∋(⪩⨒∯33233↙⪩⨒∯1210031≀⩗∶(⪫⨮⊛⪩⨒∯223132)))⩁⩘(((∂⪩⨒∯1323201)⪹)∌↝(⪩⨒∯222123⊋⪩⨒∯133122⇴(⪩⨒∯232101↙⪩⨒∯233012)))=NaN","reverse_text":"NaN=(⊊≼∋(⪩⨒∯33233↙⪩⨒∯1210031≀⩗∶(⪫⨮⊛⪩⨒∯223132)))⩁⩘(((∂⪩⨒∯1323201)⪹)∌↝(⪩⨒∯222123⊋⪩⨒∯133122⇴(⪩⨒∯232101↙⪩⨒∯233012)))","cot":[{"info":"⪩⨒∯33233↙⪩⨒∯1210031=⪩⨒∯-10230213","layer":3},{"info":"⪫⨮⊛⪩⨒∯223132=NaN","layer":3},{"info":"⪩⨒∯-10230213≀⩗∶NaN=NaN","layer":2},{"info":"⊊≼∋NaN=NaN","layer":1},{"info":"∂⪩⨒∯1323201=NaN","layer":3},{"info":"NaN⪹=NaN","layer":2},{"info":"⪩⨒∯222123⊋⪩⨒∯133122=⪩⨒∯223303303200","layer":3},{"info":"⪩⨒∯232101↙⪩⨒∯233012=⪩⨒∯-2031102","layer":3},{"info":"⪩⨒∯223303303200⇴⪩⨒∯-2031102=⪩⨒∯10012302110122","layer":2},{"info":"NaN∌↝⪩⨒∯10012302110122=NaN","layer":1},{"info":"NaN⩁⩘NaN=NaN","layer":0}]}
{"id":907,"expression_no_base_symbol":"(($3329$↸$2025$∪⫐(⨝⨆$1001$))⪘⨀)∕⩚($1405$⫲⨊)↳∿⪆($6071$∣$8212$)⪍↜⋙((∂$1020$)⋻⩜⩜$8244$⊔$3332$)","expression":"((⪩⨒∯310001↸⪩⨒∯133221∪⫐(⨝⨆⪩⨒∯33221))⪘⨀)∕⩚(⪩⨒∯111331⫲⨊)↳∿⪆(⪩⨒∯1132313∣⪩⨒∯2000110)⪍↜⋙((∂⪩⨒∯33330)⋻⩜⩜⪩⨒∯2000310⊔⪩⨒∯310010)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":435097,"operation_count":12,"complexity_ratio":36258.083333333336,"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":3329,"base":4},"right_expr":{"type":"numeric_atoms","value":2025,"base":4}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":1001,"base":4}}}},"right_expr":{"type":"binary","operator":"⪍↜⋙","left_expr":{"type":"binary","operator":"↳∿⪆","left_expr":{"type":"unary","operator":"⫲⨊","unary_expr":{"type":"numeric_atoms","value":1405,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":6071,"base":4},"right_expr":{"type":"numeric_atoms","value":8212,"base":4}}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1020,"base":4}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"numeric_atoms","value":8244,"base":4},"right_expr":{"type":"numeric_atoms","value":3332,"base":4}}}}},"used_operators":["z9ffQ9n5Zr","aA7tF3KVD3","7YooWSwCyH","1eCjFl0mb9","bQ67fsrMVf","L05ObWFQCd","Cw4SuJJGHO","CArV6hThFE","PPChnnnBFF","oDCm7WA9JY","Uaa54Peajs","E4l6HwMY31"],"dependent_operators":["3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","bl5wxAcryP","L05ObWFQCd","XhwjNDsVaA","rJVOvQCfKK","2DDjHMKMc0","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","tifHPKVTfV","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","hyuBjUqXlG","bF6eod5Gvf","nEsXyWgiOK","ruOEQAzv1W","Tw270M8GLb","QMFrweE19q","WmT3o8z6ya","uFcxV4UQCh","2DDjHMKMc0","B3sABdIn96","X99M06cbEe","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q"],"result":"⪩⨒∯-13213","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3329","layer":4},{"info":"number node, value=2025","layer":4},{"info":"compute binary expreesion, left_input=3329, right_input=2025, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3329","layer":3},{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=792","layer":3},{"info":"compute binary expreesion, left_input=3329, right_input=792, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=3329","layer":2},{"info":"compute unary expreesion, input=3329, op_id = aA7tF3KVD3, unary_op_definition = 'a⪘⨀ = { ((104/a)⪍↜⋙(a↰)) }', output=-7239","layer":1},{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = CArV6hThFE, unary_op_definition = 'a⫲⨊ = { ((332≫≃)⪹) , if a==35 ; ((a⋘⨑⨽)⋝⋈⪟(a⪛290)) , else }', output=7808","layer":3},{"info":"number node, value=6071","layer":4},{"info":"number node, value=8212","layer":4},{"info":"compute binary expreesion, left_input=6071, right_input=8212, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=6071","layer":3},{"info":"compute binary expreesion, left_input=7808, right_input=6071, op_id = Cw4SuJJGHO binary_op_definition= 'a↳∿⪆b = { ((⨰⫟⨤(↔15))⨻⩈⩔((b⪛⫼133)⫡⨏(b→⨶⪴a))) }', output=nan","layer":2},{"info":"number node, value=1020","layer":4},{"info":"compute unary expreesion, input=1020, 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=8244","layer":4},{"info":"number node, value=3332","layer":4},{"info":"compute binary expreesion, left_input=8244, right_input=3332, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=30748","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=30748, 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=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":1},{"info":"compute binary expreesion, left_input=-7239, right_input=nan, op_id = z9ffQ9n5Zr binary_op_definition= 'a∕⩚b = { (b⨓a) , if (b⨽⪊≇)>=161 ; (⩷34) , else }', output=-487","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯310001↸⪩⨒∯133221∪⫐(⨝⨆⪩⨒∯33221))⪘⨀)∕⩚(⪩⨒∯111331⫲⨊)↳∿⪆(⪩⨒∯1132313∣⪩⨒∯2000110)⪍↜⋙((∂⪩⨒∯33330)⋻⩜⩜⪩⨒∯2000310⊔⪩⨒∯310010)=⪩⨒∯-13213","reverse_text":"⪩⨒∯-13213=((⪩⨒∯310001↸⪩⨒∯133221∪⫐(⨝⨆⪩⨒∯33221))⪘⨀)∕⩚(⪩⨒∯111331⫲⨊)↳∿⪆(⪩⨒∯1132313∣⪩⨒∯2000110)⪍↜⋙((∂⪩⨒∯33330)⋻⩜⩜⪩⨒∯2000310⊔⪩⨒∯310010)","cot":[{"info":"⪩⨒∯310001↸⪩⨒∯133221=⪩⨒∯310001","layer":3},{"info":"⨝⨆⪩⨒∯33221=⪩⨒∯30120","layer":3},{"info":"⪩⨒∯310001∪⫐⪩⨒∯30120=⪩⨒∯310001","layer":2},{"info":"⪩⨒∯310001⪘⨀=⪩⨒∯-1301013","layer":1},{"info":"⪩⨒∯111331⫲⨊=⪩⨒∯1322000","layer":3},{"info":"⪩⨒∯1132313∣⪩⨒∯2000110=⪩⨒∯1132313","layer":3},{"info":"⪩⨒∯1322000↳∿⪆⪩⨒∯1132313=NaN","layer":2},{"info":"∂⪩⨒∯33330=NaN","layer":3},{"info":"⪩⨒∯2000310⊔⪩⨒∯310010=⪩⨒∯13200130","layer":3},{"info":"NaN⋻⩜⩜⪩⨒∯13200130=NaN","layer":2},{"info":"NaN⪍↜⋙NaN=NaN","layer":1},{"info":"⪩⨒∯-1301013∕⩚NaN=⪩⨒∯-13213","layer":0}]}
{"id":908,"expression_no_base_symbol":"(↩⪖($1282$⇷$5442$)∺≝⩲(↓⇌$1062$))⨎(($7280$⫣⪄⊒$7740$)↞⋁($1287$⪮%⊝$2011$)⩎⪣⊞)","expression":"(↩⪖(⪩⨒∯110002⇷⪩⨒∯1111002)∺≝⩲(↓⇌⪩⨒∯100212))⨎((⪩⨒∯1301300⫣⪄⊒⪩⨒∯1320330)↞⋁(⪩⨒∯110013⪮%⊝⪩⨒∯133123)⩎⪣⊞)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":18202,"operation_count":9,"complexity_ratio":2022.4444444444443,"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":1282,"base":4},"right_expr":{"type":"numeric_atoms","value":5442,"base":4}},"right_expr":{"type":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1062,"base":4}}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":7280,"base":4},"right_expr":{"type":"numeric_atoms","value":7740,"base":4}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1287,"base":4},"right_expr":{"type":"numeric_atoms","value":2011,"base":4}}}}},"used_operators":["rJVOvQCfKK","fG6uBQFnGz","KPf6cnQVty","mp7IySMOzn","PxpmPgHHJV","waWucp1uQ4","RqrPlJkxDo","RabNbG55vr","IWmyXbctLI"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","mp7IySMOzn","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1282","layer":4},{"info":"number node, value=5442","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=5442, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10884","layer":3},{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1062","layer":3},{"info":"compute binary expreesion, left_input=10884, right_input=1062, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-3622","layer":1},{"info":"number node, value=7280","layer":4},{"info":"number node, value=7740","layer":4},{"info":"compute binary expreesion, left_input=7280, right_input=7740, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-32392","layer":3},{"info":"number node, value=1287","layer":4},{"info":"number node, value=2011","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=2011, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2890","layer":3},{"info":"compute binary expreesion, left_input=-32392, right_input=2890, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3622, 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":4,"result_base":4,"text":"(↩⪖(⪩⨒∯110002⇷⪩⨒∯1111002)∺≝⩲(↓⇌⪩⨒∯100212))⨎((⪩⨒∯1301300⫣⪄⊒⪩⨒∯1320330)↞⋁(⪩⨒∯110013⪮%⊝⪩⨒∯133123)⩎⪣⊞)=NaN","reverse_text":"NaN=(↩⪖(⪩⨒∯110002⇷⪩⨒∯1111002)∺≝⩲(↓⇌⪩⨒∯100212))⨎((⪩⨒∯1301300⫣⪄⊒⪩⨒∯1320330)↞⋁(⪩⨒∯110013⪮%⊝⪩⨒∯133123)⩎⪣⊞)","cot":[{"info":"⪩⨒∯110002⇷⪩⨒∯1111002=⪩⨒∯2222010","layer":3},{"info":"↓⇌⪩⨒∯100212=⪩⨒∯100212","layer":3},{"info":"⪩⨒∯2222010∺≝⩲⪩⨒∯100212=⪩⨒∯2200","layer":2},{"info":"↩⪖⪩⨒∯2200=⪩⨒∯-320212","layer":1},{"info":"⪩⨒∯1301300⫣⪄⊒⪩⨒∯1320330=⪩⨒∯-13322020","layer":3},{"info":"⪩⨒∯110013⪮%⊝⪩⨒∯133123=⪩⨒∯231022","layer":3},{"info":"⪩⨒∯-13322020↞⋁⪩⨒∯231022=NaN","layer":2},{"info":"NaN⩎⪣⊞=NaN","layer":1},{"info":"⪩⨒∯-320212⨎NaN=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"(($2175$⫥∨⫟$1826$)∩⋅)⪪(⫇($3579$⨘))⋷(≉(↸⊣$5021$⪎↠$1168$))","expression":"((⪩⨒∯201333⫥∨⫟⪩⨒∯130202)∩⋅)⪪(⫇(⪩⨒∯313323⨘))⋷(≉(↸⊣⪩⨒∯1032131⪎↠⪩⨒∯102100))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4113,"operation_count":9,"complexity_ratio":457.0,"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":2175,"base":4},"right_expr":{"type":"numeric_atoms","value":1826,"base":4}}},"right_expr":{"type":"unary","operator":"⫇","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"numeric_atoms","value":3579,"base":4}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"binary","operator":"⪎↠","left_expr":{"type":"numeric_atoms","value":5021,"base":4},"right_expr":{"type":"numeric_atoms","value":1168,"base":4}}}}},"used_operators":["23Mk6UjR3U","xD69zh8xqp","2MzE1hQ0cz","KYD54nUTWz","YjI8oCXuph","ljcfZBUpm8","e1ybzncUwg","wztAlM01eG","3tVxb0NHM4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","FU0Cs4j7VP","JclMnS0uGI","Qy55tPpLXF","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","Qy55tPpLXF","N41Kp7NANJ","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","W4YGzv6Whe","t8gj7n24qd","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","P8v4zCKN1o","7j4O788W3g","2DQ55sFlQl","12rbrZMWeM"],"result":"⪩⨒∯3001330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2175","layer":4},{"info":"number node, value=1826","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=1826, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":2},{"info":"number node, value=3579","layer":4},{"info":"compute unary expreesion, input=3579, op_id = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-25828","layer":3},{"info":"compute unary expreesion, input=-25828, op_id = YjI8oCXuph, unary_op_definition = '⫇a = { (((a⋥≓≎a)⋷(a⋳⪒a))≋⫹) , if a>62 ; (a-((a⨵⪆101)⪒(786∲⫓a))) , else }', output=-24882","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-24882, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-6206","layer":1},{"info":"number node, value=5021","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=1168, 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 = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=127","layer":2},{"info":"compute unary expreesion, input=127, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=658","layer":1},{"info":"compute binary expreesion, left_input=-6206, right_input=658, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12412","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯201333⫥∨⫟⪩⨒∯130202)∩⋅)⪪(⫇(⪩⨒∯313323⨘))⋷(≉(↸⊣⪩⨒∯1032131⪎↠⪩⨒∯102100))=⪩⨒∯3001330","reverse_text":"⪩⨒∯3001330=((⪩⨒∯201333⫥∨⫟⪩⨒∯130202)∩⋅)⪪(⫇(⪩⨒∯313323⨘))⋷(≉(↸⊣⪩⨒∯1032131⪎↠⪩⨒∯102100))","cot":[{"info":"⪩⨒∯201333⫥∨⫟⪩⨒∯130202=NaN","layer":3},{"info":"NaN∩⋅=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯313323⨘=⪩⨒∯-12103210","layer":3},{"info":"⫇⪩⨒∯-12103210=⪩⨒∯-12010302","layer":2},{"info":"⪩⨒∯1003⪪⪩⨒∯-12010302=⪩⨒∯-1200332","layer":1},{"info":"⪩⨒∯1032131⪎↠⪩⨒∯102100=⪩⨒∯2200","layer":3},{"info":"↸⊣⪩⨒∯2200=⪩⨒∯1333","layer":2},{"info":"≉⪩⨒∯1333=⪩⨒∯22102","layer":1},{"info":"⪩⨒∯-1200332⋷⪩⨒∯22102=⪩⨒∯3001330","layer":0}]}
{"id":910,"expression_no_base_symbol":"(-$6384$⪚$1658$⪘⫢($1699$⨰$7883$))⨥⫆((∓(⇘$2999$))⫰⋱($2265$↓$1747$⋅⇍$4196$⫒⫫$2099$))","expression":"(-⪩⨒∯1203300⪚⪩⨒∯121322⪘⫢(⪩⨒∯122203⨰⪩⨒∯1323023))⨥⫆((∓(⇘⪩⨒∯232313))⫰⋱(⪩⨒∯203121↓⪩⨒∯123103⋅⇍⪩⨒∯1001210⫒⫫⪩⨒∯200303))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30878,"operation_count":11,"complexity_ratio":2807.090909090909,"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":6384,"base":4},"right_expr":{"type":"numeric_atoms","value":1658,"base":4}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1699,"base":4},"right_expr":{"type":"numeric_atoms","value":7883,"base":4}}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":2999,"base":4}}},"right_expr":{"type":"binary","operator":"⋅⇍","left_expr":{"type":"binary","operator":"↓","left_expr":{"type":"numeric_atoms","value":2265,"base":4},"right_expr":{"type":"numeric_atoms","value":1747,"base":4}},"right_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":4196,"base":4},"right_expr":{"type":"numeric_atoms","value":2099,"base":4}}}}},"used_operators":["yXekIHxTD4","t8gj7n24qd","oacrs7FA3X","HrjLwUk87U","eewbuw0ToL","6o9Blt3TJ6","OwUj7dcsQK","MGuIdZPyUC","AdZkA7nFnk","Af076pWI7l","6Ko8hGgeMq"],"dependent_operators":["eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6384","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=6384, right_input=1658, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=9096","layer":3},{"info":"number node, value=1699","layer":4},{"info":"number node, value=7883","layer":4},{"info":"compute binary expreesion, left_input=1699, right_input=7883, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6174","layer":3},{"info":"compute binary expreesion, left_input=9096, right_input=-6174, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = t8gj7n24qd, unary_op_definition = 'None', output=0","layer":1},{"info":"number node, value=2999","layer":4},{"info":"compute unary expreesion, input=2999, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=174322","layer":3},{"info":"compute unary expreesion, input=174322, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-2619702","layer":2},{"info":"number node, value=2265","layer":4},{"info":"number node, value=1747","layer":4},{"info":"compute binary expreesion, left_input=2265, right_input=1747, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":3},{"info":"number node, value=4196","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=4196, right_input=2099, 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=-134, right_input=nan, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-439","layer":2},{"info":"compute binary expreesion, left_input=-2619702, right_input=-439, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=2620208","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2620208, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(-⪩⨒∯1203300⪚⪩⨒∯121322⪘⫢(⪩⨒∯122203⨰⪩⨒∯1323023))⨥⫆((∓(⇘⪩⨒∯232313))⫰⋱(⪩⨒∯203121↓⪩⨒∯123103⋅⇍⪩⨒∯1001210⫒⫫⪩⨒∯200303))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(-⪩⨒∯1203300⪚⪩⨒∯121322⪘⫢(⪩⨒∯122203⨰⪩⨒∯1323023))⨥⫆((∓(⇘⪩⨒∯232313))⫰⋱(⪩⨒∯203121↓⪩⨒∯123103⋅⇍⪩⨒∯1001210⫒⫫⪩⨒∯200303))","cot":[{"info":"⪩⨒∯1203300⪚⪩⨒∯121322=⪩⨒∯2032020","layer":3},{"info":"⪩⨒∯122203⨰⪩⨒∯1323023=⪩⨒∯-1200132","layer":3},{"info":"⪩⨒∯2032020⪘⫢⪩⨒∯-1200132=⪩⨒∯0","layer":2},{"info":"-⪩⨒∯0=⪩⨒∯0","layer":1},{"info":"⇘⪩⨒∯232313=⪩⨒∯222203302","layer":3},{"info":"∓⪩⨒∯222203302=⪩⨒∯-21333210312","layer":2},{"info":"⪩⨒∯203121↓⪩⨒∯123103=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯1001210⫒⫫⪩⨒∯200303=NaN","layer":3},{"info":"⪩⨒∯-2012⋅⇍NaN=⪩⨒∯-12313","layer":2},{"info":"⪩⨒∯-21333210312⫰⋱⪩⨒∯-12313=⪩⨒∯21333230300","layer":1},{"info":"⪩⨒∯0⨥⫆⪩⨒∯21333230300=⪩⨒∯0","layer":0}]}
{"id":911,"expression_no_base_symbol":"(⇜(↔($5683$≀⩗∶$9029$)))⫔⩽⩺($4408$⫚↹⊑$3991$)∊∟⩊($2776$⨐⩸⫘$6447$)⪨⊡(($2630$↺$1160$)⇄(⫎≠⋺$1161$))","expression":"(⇜(↔(⪩⨒∯1120303≀⩗∶⪩⨒∯2031011)))⫔⩽⩺(⪩⨒∯1010320⫚↹⊑⪩⨒∯332113)∊∟⩊(⪩⨒∯223120⨐⩸⫘⪩⨒∯1210233)⪨⊡((⪩⨒∯221012↺⪩⨒∯102020)⇄(⫎≠⋺⪩⨒∯102021))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":631721,"operation_count":11,"complexity_ratio":57429.181818181816,"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":5683,"base":4},"right_expr":{"type":"numeric_atoms","value":9029,"base":4}}}},"right_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"binary","operator":"∊∟⩊","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":4408,"base":4},"right_expr":{"type":"numeric_atoms","value":3991,"base":4}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2776,"base":4},"right_expr":{"type":"numeric_atoms","value":6447,"base":4}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2630,"base":4},"right_expr":{"type":"numeric_atoms","value":1160,"base":4}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1161,"base":4}}}}},"used_operators":["i9eR4S00cU","lFBm8KRb8F","ruOEQAzv1W","8INZBEW696","kuIXHzHcAH","ddLRYrp01A","dfKe02y8D2","fu6greOZ01","3EYGwJThht","7j4O788W3g","LYeZOJ0nQG"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","3ViojmjbAp","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5683","layer":4},{"info":"number node, value=9029","layer":4},{"info":"compute binary expreesion, left_input=5683, right_input=9029, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=795","layer":2},{"info":"compute unary expreesion, input=795, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-6768","layer":1},{"info":"number node, value=4408","layer":4},{"info":"number node, value=3991","layer":4},{"info":"compute binary expreesion, left_input=4408, right_input=3991, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"number node, value=2776","layer":4},{"info":"number node, value=6447","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=6447, 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=-447, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=12","layer":2},{"info":"number node, value=2630","layer":4},{"info":"number node, value=1160","layer":4},{"info":"compute binary expreesion, left_input=2630, right_input=1160, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1160","layer":3},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, 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=1160, right_input=0, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=12, right_input=0, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=789","layer":1},{"info":"compute binary expreesion, left_input=-6768, right_input=789, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇜(↔(⪩⨒∯1120303≀⩗∶⪩⨒∯2031011)))⫔⩽⩺(⪩⨒∯1010320⫚↹⊑⪩⨒∯332113)∊∟⩊(⪩⨒∯223120⨐⩸⫘⪩⨒∯1210233)⪨⊡((⪩⨒∯221012↺⪩⨒∯102020)⇄(⫎≠⋺⪩⨒∯102021))=NaN","reverse_text":"NaN=(⇜(↔(⪩⨒∯1120303≀⩗∶⪩⨒∯2031011)))⫔⩽⩺(⪩⨒∯1010320⫚↹⊑⪩⨒∯332113)∊∟⩊(⪩⨒∯223120⨐⩸⫘⪩⨒∯1210233)⪨⊡((⪩⨒∯221012↺⪩⨒∯102020)⇄(⫎≠⋺⪩⨒∯102021))","cot":[{"info":"⪩⨒∯1120303≀⩗∶⪩⨒∯2031011=⪩⨒∯-3","layer":3},{"info":"↔⪩⨒∯-3=⪩⨒∯30123","layer":2},{"info":"⇜⪩⨒∯30123=⪩⨒∯-1221300","layer":1},{"info":"⪩⨒∯1010320⫚↹⊑⪩⨒∯332113=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯223120⨐⩸⫘⪩⨒∯1210233=NaN","layer":3},{"info":"⪩⨒∯-12333∊∟⩊NaN=⪩⨒∯30","layer":2},{"info":"⪩⨒∯221012↺⪩⨒∯102020=⪩⨒∯102020","layer":3},{"info":"⫎≠⋺⪩⨒∯102021=⪩⨒∯0","layer":3},{"info":"⪩⨒∯102020⇄⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯30⪨⊡⪩⨒∯0=⪩⨒∯30111","layer":1},{"info":"⪩⨒∯-1221300⫔⩽⩺⪩⨒∯30111=NaN","layer":0}]}
{"id":912,"expression_no_base_symbol":"((≘(⪫⨮⊛$4068$))↡⊰⫅($1680$≃$5230$)→⨶⪴($2463$⪒$3465$))⊵↤","expression":"((≘(⪫⨮⊛⪩⨒∯333210))↡⊰⫅(⪩⨒∯122100≃⪩⨒∯1101232)→⨶⪴(⪩⨒∯212133⪒⪩⨒∯312021))⊵↤","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2482649,"operation_count":7,"complexity_ratio":354664.14285714284,"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":4068,"base":4}}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"binary","operator":"≃","left_expr":{"type":"numeric_atoms","value":1680,"base":4},"right_expr":{"type":"numeric_atoms","value":5230,"base":4}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2463,"base":4},"right_expr":{"type":"numeric_atoms","value":3465,"base":4}}}}},"used_operators":["7IPrd9c3lf","VCtxkLNOzz","tcjXMdvYtA","w5FWba1tyO","bF6eod5Gvf","YbVcJGFEVW","f6k1SAg4EE"],"dependent_operators":["eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","XTarYq4gQB","xRrnTEsQ6j","oPMjh9089D","BUOGQAYlQx","oacrs7FA3X","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","8w2t5hMYqp","9FxExcQeMw","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4068","layer":4},{"info":"compute unary expreesion, input=4068, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = tcjXMdvYtA, unary_op_definition = '≘a = { ((⊀(⪝⪂⫅a))⫁⪎(a⪘⫢(⋂a))) }', output=nan","layer":2},{"info":"number node, value=1680","layer":4},{"info":"number node, value=5230","layer":4},{"info":"compute binary expreesion, left_input=1680, right_input=5230, 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=-6760","layer":3},{"info":"number node, value=2463","layer":4},{"info":"number node, value=3465","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=3465, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5928","layer":3},{"info":"compute binary expreesion, left_input=-6760, right_input=-5928, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-1696","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1696, 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":"compute unary expreesion, input=nan, 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":4,"result_base":4,"text":"((≘(⪫⨮⊛⪩⨒∯333210))↡⊰⫅(⪩⨒∯122100≃⪩⨒∯1101232)→⨶⪴(⪩⨒∯212133⪒⪩⨒∯312021))⊵↤=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=((≘(⪫⨮⊛⪩⨒∯333210))↡⊰⫅(⪩⨒∯122100≃⪩⨒∯1101232)→⨶⪴(⪩⨒∯212133⪒⪩⨒∯312021))⊵↤","cot":[{"info":"⪫⨮⊛⪩⨒∯333210=NaN","layer":3},{"info":"≘NaN=NaN","layer":2},{"info":"⪩⨒∯122100≃⪩⨒∯1101232=⪩⨒∯-1221220","layer":3},{"info":"⪩⨒∯212133⪒⪩⨒∯312021=⪩⨒∯-1130220","layer":3},{"info":"⪩⨒∯-1221220→⨶⪴⪩⨒∯-1130220=⪩⨒∯-122200","layer":2},{"info":"NaN↡⊰⫅⪩⨒∯-122200=NaN","layer":1},{"info":"NaN⊵↤=⪩⨒∯1003","layer":0}]}
{"id":913,"expression_no_base_symbol":"(($4852$≀⩗∶$4059$)∇⊂⋱(≇⪴$1095$)⩒⫫(∂$1640$)⋣⋖($2127$⨐⩸⫘$3143$))⩖⊿(⊖∈((⪹$2585$)⩟))","expression":"((⪩⨒∯1023310≀⩗∶⪩⨒∯333123)∇⊂⋱(≇⪴⪩⨒∯101013)⩒⫫(∂⪩⨒∯121220)⋣⋖(⪩⨒∯201033⨐⩸⫘⪩⨒∯301013))⩖⊿(⊖∈((⪹⪩⨒∯220121)⩟))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":152,"operation_count":11,"complexity_ratio":13.818181818181818,"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":4852,"base":4},"right_expr":{"type":"numeric_atoms","value":4059,"base":4}},"right_expr":{"type":"unary","operator":"≇⪴","unary_expr":{"type":"numeric_atoms","value":1095,"base":4}}},"right_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1640,"base":4}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2127,"base":4},"right_expr":{"type":"numeric_atoms","value":3143,"base":4}}}},"right_expr":{"type":"unary","operator":"⊖∈","unary_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"unary","operator":"⪹","unary_expr":{"type":"numeric_atoms","value":2585,"base":4}}}}},"used_operators":["RZ5CV9rWsJ","KFSx94NKJn","nhYeJWJD5X","8INZBEW696","zoVPnxeHJ3","J0M6qkBnIM","Uaa54Peajs","fu6greOZ01","YFxL8Sc2Zy","fOIeswaMU4","USyYr0JgAa"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","zVYPLywUTj","sdazOOVcIp","ancx8kZcWl","YSKBFp38Pu","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","tifHPKVTfV"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4852","layer":4},{"info":"number node, value=4059","layer":4},{"info":"compute binary expreesion, left_input=4852, right_input=4059, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=0","layer":3},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-1945","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1945, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3890","layer":2},{"info":"number node, value=1640","layer":4},{"info":"compute unary expreesion, input=1640, 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=2127","layer":4},{"info":"number node, value=3143","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=3143, 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=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":2},{"info":"compute binary expreesion, left_input=3890, 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=2585","layer":4},{"info":"compute unary expreesion, input=2585, op_id = USyYr0JgAa, unary_op_definition = '⪹a = { (a⇼⇔∾180) }', output=-2405","layer":3},{"info":"compute unary expreesion, input=-2405, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=22872","layer":2},{"info":"compute unary expreesion, input=22872, op_id = YFxL8Sc2Zy, unary_op_definition = '⊖∈a = { a , if (a⨝⩣∺)>=369 ; ((a⊪)⪨≂(a⇤a)) , else }', output=451846","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=451846, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1023310≀⩗∶⪩⨒∯333123)∇⊂⋱(≇⪴⪩⨒∯101013)⩒⫫(∂⪩⨒∯121220)⋣⋖(⪩⨒∯201033⨐⩸⫘⪩⨒∯301013))⩖⊿(⊖∈((⪹⪩⨒∯220121)⩟))=NaN","reverse_text":"NaN=((⪩⨒∯1023310≀⩗∶⪩⨒∯333123)∇⊂⋱(≇⪴⪩⨒∯101013)⩒⫫(∂⪩⨒∯121220)⋣⋖(⪩⨒∯201033⨐⩸⫘⪩⨒∯301013))⩖⊿(⊖∈((⪹⪩⨒∯220121)⩟))","cot":[{"info":"⪩⨒∯1023310≀⩗∶⪩⨒∯333123=⪩⨒∯0","layer":3},{"info":"≇⪴⪩⨒∯101013=⪩⨒∯-132121","layer":3},{"info":"⪩⨒∯0∇⊂⋱⪩⨒∯-132121=⪩⨒∯330302","layer":2},{"info":"∂⪩⨒∯121220=NaN","layer":3},{"info":"⪩⨒∯201033⨐⩸⫘⪩⨒∯301013=NaN","layer":3},{"info":"NaN⋣⋖NaN=NaN","layer":2},{"info":"⪩⨒∯330302⩒⫫NaN=NaN","layer":1},{"info":"⪹⪩⨒∯220121=⪩⨒∯-211211","layer":3},{"info":"⪩⨒∯-211211⩟=⪩⨒∯11211120","layer":2},{"info":"⊖∈⪩⨒∯11211120=⪩⨒∯1232110012","layer":1},{"info":"NaN⩖⊿⪩⨒∯1232110012=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"($1850$⨥⫆$3449$⨪↰⇹$5066$≀⫉$4903$⨸⪁(($1924$⨪↰⇹$5057$)⊫∞))⪶≀⋏(∜⨇(⪛⨧$1776$))≠≀($1041$⇉⇱⇎)⇻⋧≁($2715$⩖⊿$6298$)","expression":"(⪩⨒∯130322⨥⫆⪩⨒∯311321⨪↰⇹⪩⨒∯1033022≀⫉⪩⨒∯1030213⨸⪁((⪩⨒∯132010⨪↰⇹⪩⨒∯1033001)⊫∞))⪶≀⋏(∜⨇(⪛⨧⪩⨒∯123300))≠≀(⪩⨒∯100101⇉⇱⇎)⇻⋧≁(⪩⨒∯222123⩖⊿⪩⨒∯1202122)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":32342,"operation_count":13,"complexity_ratio":2487.846153846154,"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":1850,"base":4},"right_expr":{"type":"numeric_atoms","value":3449,"base":4}},"right_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":5066,"base":4},"right_expr":{"type":"numeric_atoms","value":4903,"base":4}}},"right_expr":{"type":"unary","operator":"⊫∞","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1924,"base":4},"right_expr":{"type":"numeric_atoms","value":5057,"base":4}}}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":1776,"base":4}}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":1041,"base":4}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"numeric_atoms","value":2715,"base":4},"right_expr":{"type":"numeric_atoms","value":6298,"base":4}}}}},"used_operators":["zR4jO40bMj","g55IO6H4Gj","tmPS8pqC7x","yXekIHxTD4","oZj3VtZNQx","pABnYW3G3E","IwW236VD4Y","uFPyJr306J","6NJAcO2OWT","jCPkEVoL5K","MRPaB8lBjK","RZ5CV9rWsJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","rJVOvQCfKK","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1850","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=1850, right_input=3449, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=6774","layer":3},{"info":"number node, value=5066","layer":4},{"info":"number node, value=4903","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=4903, 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=6774, right_input=2822, 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=6774","layer":2},{"info":"number node, value=1924","layer":4},{"info":"number node, value=5057","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=5057, 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=1924","layer":3},{"info":"compute unary expreesion, input=1924, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6774, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13548","layer":1},{"info":"number node, value=1776","layer":4},{"info":"compute unary expreesion, input=1776, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=4953","layer":3},{"info":"compute unary expreesion, input=4953, 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=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-823","layer":3},{"info":"number node, value=2715","layer":4},{"info":"number node, value=6298","layer":4},{"info":"compute binary expreesion, left_input=2715, right_input=6298, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=39442","layer":3},{"info":"compute binary expreesion, left_input=-823, right_input=39442, op_id = jCPkEVoL5K binary_op_definition= 'a⇻⋧≁b = { ((⫓⪴a)⫚↹⊑(54≫≃)) , if (a∵≐)<=35 or a>411 ; ((⪝⪂⫅b)⇄(290⨑≵⋬a)) , else }', output=-10784","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10784, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=13548, 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":0}],"base":4,"result_base":4,"text":"(⪩⨒∯130322⨥⫆⪩⨒∯311321⨪↰⇹⪩⨒∯1033022≀⫉⪩⨒∯1030213⨸⪁((⪩⨒∯132010⨪↰⇹⪩⨒∯1033001)⊫∞))⪶≀⋏(∜⨇(⪛⨧⪩⨒∯123300))≠≀(⪩⨒∯100101⇉⇱⇎)⇻⋧≁(⪩⨒∯222123⩖⊿⪩⨒∯1202122)=NaN","reverse_text":"NaN=(⪩⨒∯130322⨥⫆⪩⨒∯311321⨪↰⇹⪩⨒∯1033022≀⫉⪩⨒∯1030213⨸⪁((⪩⨒∯132010⨪↰⇹⪩⨒∯1033001)⊫∞))⪶≀⋏(∜⨇(⪛⨧⪩⨒∯123300))≠≀(⪩⨒∯100101⇉⇱⇎)⇻⋧≁(⪩⨒∯222123⩖⊿⪩⨒∯1202122)","cot":[{"info":"⪩⨒∯130322⨥⫆⪩⨒∯311321=⪩⨒∯1221312","layer":3},{"info":"⪩⨒∯1033022≀⫉⪩⨒∯1030213=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯1221312⨪↰⇹⪩⨒∯230012=⪩⨒∯1221312","layer":2},{"info":"⪩⨒∯132010⨪↰⇹⪩⨒∯1033001=⪩⨒∯132010","layer":3},{"info":"⪩⨒∯132010⊫∞=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1221312⨸⪁⪩⨒∯0=⪩⨒∯3103230","layer":1},{"info":"⪛⨧⪩⨒∯123300=⪩⨒∯1031121","layer":3},{"info":"∜⨇⪩⨒∯1031121=NaN","layer":2},{"info":"⪩⨒∯100101⇉⇱⇎=⪩⨒∯-30313","layer":3},{"info":"⪩⨒∯222123⩖⊿⪩⨒∯1202122=⪩⨒∯21220102","layer":3},{"info":"⪩⨒∯-30313⇻⋧≁⪩⨒∯21220102=⪩⨒∯-2220200","layer":2},{"info":"NaN≠≀⪩⨒∯-2220200=NaN","layer":1},{"info":"⪩⨒∯3103230⪶≀⋏NaN=NaN","layer":0}]}
{"id":915,"expression_no_base_symbol":"(≇⪴(($1181$⫰⋱$4555$)⪔$3282$∓⋝$1150$))⊔(($3017$⪨⊡$2508$)⪥$1154$≌$3750$⨰(⪫⨮⊛$5308$)⇤$1283$∴$1405$)","expression":"(≇⪴((⪩⨒∯102131⫰⋱⪩⨒∯1013023)⪔⪩⨒∯303102∓⋝⪩⨒∯101332))⊔((⪩⨒∯233021⪨⊡⪩⨒∯213030)⪥⪩⨒∯102002≌⪩⨒∯322212⨰(⪫⨮⊛⪩⨒∯1102330)⇤⪩⨒∯110003∴⪩⨒∯111331)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":3216862,"operation_count":12,"complexity_ratio":268071.8333333333,"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":1181,"base":4},"right_expr":{"type":"numeric_atoms","value":4555,"base":4}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":3282,"base":4},"right_expr":{"type":"numeric_atoms","value":1150,"base":4}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"binary","operator":"⪨⊡","left_expr":{"type":"numeric_atoms","value":3017,"base":4},"right_expr":{"type":"numeric_atoms","value":2508,"base":4}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1154,"base":4},"right_expr":{"type":"numeric_atoms","value":3750,"base":4}}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":5308,"base":4}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"numeric_atoms","value":1283,"base":4},"right_expr":{"type":"numeric_atoms","value":1405,"base":4}}}}},"used_operators":["E4l6HwMY31","zoVPnxeHJ3","GjBEYRfMaF","6o9Blt3TJ6","PoHhknlbAi","eewbuw0ToL","QbnwKVWMIQ","kuIXHzHcAH","lyWz822IDG","YSKBFp38Pu","w5FWba1tyO","hrf7POJlIJ"],"dependent_operators":["W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","JLbD19bQDL","glklzrTFfD","eewbuw0ToL","AF7qkfDlqP","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1181","layer":4},{"info":"number node, value=4555","layer":4},{"info":"compute binary expreesion, left_input=1181, right_input=4555, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1148","layer":3},{"info":"number node, value=3282","layer":4},{"info":"number node, value=1150","layer":4},{"info":"compute binary expreesion, left_input=3282, right_input=1150, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=-1148, right_input=67, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=314","layer":2},{"info":"compute unary expreesion, input=314, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=1256","layer":1},{"info":"number node, value=3017","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=3017, right_input=2508, op_id = kuIXHzHcAH binary_op_definition= 'a⪨⊡b = { (⨑⩽⪐(b⨁⊸⫻)) , if (⨑⩽⪐b)>42 ; ((a⨰b)⪠⩆⊳) , else }', output=0","layer":3},{"info":"number node, value=1154","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=3750, 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=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":"number node, value=5308","layer":4},{"info":"compute unary expreesion, input=5308, 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=1283","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=1283, right_input=1405, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=4214","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4214, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4652, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1256, right_input=nan, op_id = E4l6HwMY31 binary_op_definition= 'a⊔b = { (((a≧⫂∧b)∲⫓(⋗⩬⋾b))⫡⨏((b⪒a)≧⫂∧(a+64))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(≇⪴((⪩⨒∯102131⫰⋱⪩⨒∯1013023)⪔⪩⨒∯303102∓⋝⪩⨒∯101332))⊔((⪩⨒∯233021⪨⊡⪩⨒∯213030)⪥⪩⨒∯102002≌⪩⨒∯322212⨰(⪫⨮⊛⪩⨒∯1102330)⇤⪩⨒∯110003∴⪩⨒∯111331)=NaN","reverse_text":"NaN=(≇⪴((⪩⨒∯102131⫰⋱⪩⨒∯1013023)⪔⪩⨒∯303102∓⋝⪩⨒∯101332))⊔((⪩⨒∯233021⪨⊡⪩⨒∯213030)⪥⪩⨒∯102002≌⪩⨒∯322212⨰(⪫⨮⊛⪩⨒∯1102330)⇤⪩⨒∯110003∴⪩⨒∯111331)","cot":[{"info":"⪩⨒∯102131⫰⋱⪩⨒∯1013023=⪩⨒∯-101330","layer":3},{"info":"⪩⨒∯303102∓⋝⪩⨒∯101332=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯-101330⪔⪩⨒∯1003=⪩⨒∯10322","layer":2},{"info":"≇⪴⪩⨒∯10322=⪩⨒∯103220","layer":1},{"info":"⪩⨒∯233021⪨⊡⪩⨒∯213030=⪩⨒∯0","layer":3},{"info":"⪩⨒∯102002≌⪩⨒∯322212=NaN","layer":3},{"info":"⪩⨒∯0⪥NaN=⪩⨒∯1020230","layer":2},{"info":"⪫⨮⊛⪩⨒∯1102330=NaN","layer":3},{"info":"⪩⨒∯110003∴⪩⨒∯111331=⪩⨒∯1001312","layer":3},{"info":"NaN⇤⪩⨒∯1001312=NaN","layer":2},{"info":"⪩⨒∯1020230⨰NaN=NaN","layer":1},{"info":"⪩⨒∯103220⊔NaN=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"($1372$⇄$2952$⫥∨⫟($2081$⨳⩥⨓$1177$)⨵⪆(↡(⪛⨧$7688$)))⫔⩽⩺(∂(⊽$2779$))⨑⩅≇(⇜($4956$⊲⩕⊾$4660$))","expression":"(⪩⨒∯111130⇄⪩⨒∯232020⫥∨⫟(⪩⨒∯200201⨳⩥⨓⪩⨒∯102121)⨵⪆(↡(⪛⨧⪩⨒∯1320020)))⫔⩽⩺(∂(⊽⪩⨒∯223123))⨑⩅≇(⇜(⪩⨒∯1031130⊲⩕⊾⪩⨒∯1020310))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":886244,"operation_count":12,"complexity_ratio":73853.66666666667,"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":1372,"base":4},"right_expr":{"type":"numeric_atoms","value":2952,"base":4}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2081,"base":4},"right_expr":{"type":"numeric_atoms","value":1177,"base":4}}},"right_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":7688,"base":4}}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊽","unary_expr":{"type":"numeric_atoms","value":2779,"base":4}}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":4956,"base":4},"right_expr":{"type":"numeric_atoms","value":4660,"base":4}}}}},"used_operators":["i9eR4S00cU","2DQ55sFlQl","KYD54nUTWz","3EYGwJThht","nCS4ZIUYfx","MXaNJeIAZ3","6NJAcO2OWT","h92wMvzauj","Uaa54Peajs","QxG7OkqoLX","lFBm8KRb8F","DmTXOeWf9t"],"dependent_operators":["Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","rysDP5nf3Z","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","g55IO6H4Gj","VJ330n2nnx","z63VuFQld9","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1372","layer":4},{"info":"number node, value=2952","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=2952, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"number node, value=2081","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=2081, right_input=1177, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-904","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-904, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=7688","layer":4},{"info":"compute unary expreesion, input=7688, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=16777","layer":3},{"info":"compute unary expreesion, input=16777, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=150993","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=150993, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2779","layer":4},{"info":"compute unary expreesion, input=2779, op_id = QxG7OkqoLX, unary_op_definition = '⊽a = { (a⨸⪁761) , if (a↬⩅∪)<402 ; (a∧) , else }', output=7080","layer":3},{"info":"compute unary expreesion, input=7080, 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=4956","layer":4},{"info":"number node, value=4660","layer":4},{"info":"compute binary expreesion, left_input=4956, right_input=4660, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-122526","layer":3},{"info":"compute unary expreesion, input=-122526, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=232","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=232, 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":1},{"info":"compute binary expreesion, left_input=160, right_input=935, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯111130⇄⪩⨒∯232020⫥∨⫟(⪩⨒∯200201⨳⩥⨓⪩⨒∯102121)⨵⪆(↡(⪛⨧⪩⨒∯1320020)))⫔⩽⩺(∂(⊽⪩⨒∯223123))⨑⩅≇(⇜(⪩⨒∯1031130⊲⩕⊾⪩⨒∯1020310))=NaN","reverse_text":"NaN=(⪩⨒∯111130⇄⪩⨒∯232020⫥∨⫟(⪩⨒∯200201⨳⩥⨓⪩⨒∯102121)⨵⪆(↡(⪛⨧⪩⨒∯1320020)))⫔⩽⩺(∂(⊽⪩⨒∯223123))⨑⩅≇(⇜(⪩⨒∯1031130⊲⩕⊾⪩⨒∯1020310))","cot":[{"info":"⪩⨒∯111130⇄⪩⨒∯232020=⪩⨒∯0","layer":3},{"info":"⪩⨒∯200201⨳⩥⨓⪩⨒∯102121=⪩⨒∯-32020","layer":3},{"info":"⪩⨒∯0⫥∨⫟⪩⨒∯-32020=NaN","layer":2},{"info":"⪛⨧⪩⨒∯1320020=⪩⨒∯10012021","layer":3},{"info":"↡⪩⨒∯10012021=⪩⨒∯210313101","layer":2},{"info":"NaN⨵⪆⪩⨒∯210313101=⪩⨒∯2200","layer":1},{"info":"⊽⪩⨒∯223123=⪩⨒∯1232220","layer":3},{"info":"∂⪩⨒∯1232220=NaN","layer":2},{"info":"⪩⨒∯1031130⊲⩕⊾⪩⨒∯1020310=⪩⨒∯-131322132","layer":3},{"info":"⇜⪩⨒∯-131322132=⪩⨒∯3220","layer":2},{"info":"NaN⨑⩅≇⪩⨒∯3220=⪩⨒∯32213","layer":1},{"info":"⪩⨒∯2200⫔⩽⩺⪩⨒∯32213=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"(∤$2044$⇻⋧≁$3478$)⪡(($1187$⋥≓≎$1302$)⩧⪆$4576$∛$3162$)⨭⪣((⪸$6650$)⋣⋖(⊗$7323$))∓⋝((↡$1355$)+⇶⊼(⊲⪭$4002$))","expression":"(∤⪩⨒∯133330⇻⋧≁⪩⨒∯312112)⪡((⪩⨒∯102203⋥≓≎⪩⨒∯110112)⩧⪆⪩⨒∯1013200∛⪩⨒∯301122)⨭⪣((⪸⪩⨒∯1213322)⋣⋖(⊗⪩⨒∯1302123))∓⋝((↡⪩⨒∯111023)+⇶⊼(⊲⪭⪩⨒∯332202))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5754,"operation_count":14,"complexity_ratio":411.0,"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":2044,"base":4},"right_expr":{"type":"numeric_atoms","value":3478,"base":4}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1187,"base":4},"right_expr":{"type":"numeric_atoms","value":1302,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":4576,"base":4},"right_expr":{"type":"numeric_atoms","value":3162,"base":4}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"binary","operator":"⋣⋖","left_expr":{"type":"unary","operator":"⪸","unary_expr":{"type":"numeric_atoms","value":6650,"base":4}},"right_expr":{"type":"unary","operator":"⊗","unary_expr":{"type":"numeric_atoms","value":7323,"base":4}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↡","unary_expr":{"type":"numeric_atoms","value":1355,"base":4}},"right_expr":{"type":"unary","operator":"⊲⪭","unary_expr":{"type":"numeric_atoms","value":4002,"base":4}}}}},"used_operators":["kn8WO9XteQ","oraRL2iQuh","k2HlF1dBQh","jCPkEVoL5K","Ikt5ks8PT7","Qy55tPpLXF","w2537kitQq","PoHhknlbAi","J0M6qkBnIM","86A5ENbKR9","RhiyfpczSx","TpPTUOHfaN","MXaNJeIAZ3","k7HXdKtiEU"],"dependent_operators":["vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","8w2t5hMYqp","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","eewbuw0ToL","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","VwlE7vj6HS","LXhwmt4mBO","o575Zjdmzy","fu6greOZ01","u0R0Locfp2","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","nhYeJWJD5X","sJAwomhLZr","Z5m6OM72h2","HrjLwUk87U","AHs5Up7iyr","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","i8ToyICDmI","xUOZtlo3hN"],"result":"⪩⨒∯101101","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2044","layer":4},{"info":"number node, value=3478","layer":4},{"info":"compute binary expreesion, left_input=2044, right_input=3478, 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 = k2HlF1dBQh, unary_op_definition = '∤a = { (((a⇼⇔∾a)+(a-a))-(⊄⩳↩3)) }', output=9","layer":2},{"info":"number node, value=1187","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=1187, right_input=1302, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1450","layer":3},{"info":"number node, value=4576","layer":4},{"info":"number node, value=3162","layer":4},{"info":"compute binary expreesion, left_input=4576, right_input=3162, 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=1450, right_input=-670, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=670","layer":2},{"info":"compute binary expreesion, left_input=9, right_input=670, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=-1900","layer":1},{"info":"number node, value=6650","layer":4},{"info":"compute unary expreesion, input=6650, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-112841","layer":3},{"info":"number node, value=7323","layer":4},{"info":"compute unary expreesion, input=7323, op_id = RhiyfpczSx, unary_op_definition = '⊗a = { (64∇⊂⋱a) , if (a⪚13)>=164 ; (a∘(a⩠)) , else }', output=-14646","layer":3},{"info":"compute binary expreesion, left_input=-112841, right_input=-14646, 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=1355","layer":4},{"info":"compute unary expreesion, input=1355, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=12195","layer":3},{"info":"number node, value=4002","layer":4},{"info":"compute unary expreesion, input=4002, op_id = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=-4176","layer":3},{"info":"compute binary expreesion, left_input=12195, right_input=-4176, 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=-527, right_input=nan, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-1900, right_input=67, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=1105","layer":0}],"base":4,"result_base":4,"text":"(∤⪩⨒∯133330⇻⋧≁⪩⨒∯312112)⪡((⪩⨒∯102203⋥≓≎⪩⨒∯110112)⩧⪆⪩⨒∯1013200∛⪩⨒∯301122)⨭⪣((⪸⪩⨒∯1213322)⋣⋖(⊗⪩⨒∯1302123))∓⋝((↡⪩⨒∯111023)+⇶⊼(⊲⪭⪩⨒∯332202))=⪩⨒∯101101","reverse_text":"⪩⨒∯101101=(∤⪩⨒∯133330⇻⋧≁⪩⨒∯312112)⪡((⪩⨒∯102203⋥≓≎⪩⨒∯110112)⩧⪆⪩⨒∯1013200∛⪩⨒∯301122)⨭⪣((⪸⪩⨒∯1213322)⋣⋖(⊗⪩⨒∯1302123))∓⋝((↡⪩⨒∯111023)+⇶⊼(⊲⪭⪩⨒∯332202))","cot":[{"info":"⪩⨒∯133330⇻⋧≁⪩⨒∯312112=⪩⨒∯-12333","layer":3},{"info":"∤⪩⨒∯-12333=⪩⨒∯21","layer":2},{"info":"⪩⨒∯102203⋥≓≎⪩⨒∯110112=⪩⨒∯112222","layer":3},{"info":"⪩⨒∯1013200∛⪩⨒∯301122=⪩⨒∯-22132","layer":3},{"info":"⪩⨒∯112222⩧⪆⪩⨒∯-22132=⪩⨒∯22132","layer":2},{"info":"⪩⨒∯21⪡⪩⨒∯22132=⪩⨒∯-131230","layer":1},{"info":"⪸⪩⨒∯1213322=⪩⨒∯-123203021","layer":3},{"info":"⊗⪩⨒∯1302123=⪩⨒∯-3210312","layer":3},{"info":"⪩⨒∯-123203021⋣⋖⪩⨒∯-3210312=⪩⨒∯-20033","layer":2},{"info":"↡⪩⨒∯111023=⪩⨒∯2332203","layer":3},{"info":"⊲⪭⪩⨒∯332202=⪩⨒∯-1001100","layer":3},{"info":"⪩⨒∯2332203+⇶⊼⪩⨒∯-1001100=NaN","layer":2},{"info":"⪩⨒∯-20033∓⋝NaN=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯-131230⨭⪣⪩⨒∯1003=⪩⨒∯101101","layer":0}]}
{"id":918,"expression_no_base_symbol":"(($1802$⩢≌)⨪↰⇹$1652$⫉⨲⊜$1000$∙∹∝($4435$∳⫺$3214$⫚⫇))⪚(⊢≑≆(($1682$⩵∡$2411$)⨪↰⇹(⇵⪽$2582$)))","expression":"((⪩⨒∯130022⩢≌)⨪↰⇹⪩⨒∯121310⫉⨲⊜⪩⨒∯33220∙∹∝(⪩⨒∯1011103∳⫺⪩⨒∯302032⫚⫇))⪚(⊢≑≆((⪩⨒∯122102⩵∡⪩⨒∯211223)⨪↰⇹(⇵⪽⪩⨒∯220112)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1564,"operation_count":11,"complexity_ratio":142.1818181818182,"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":1802,"base":4}},"right_expr":{"type":"binary","operator":"⫉⨲⊜","left_expr":{"type":"numeric_atoms","value":1652,"base":4},"right_expr":{"type":"numeric_atoms","value":1000,"base":4}}},"right_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"numeric_atoms","value":4435,"base":4},"right_expr":{"type":"numeric_atoms","value":3214,"base":4}}}},"right_expr":{"type":"unary","operator":"⊢≑≆","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩵∡","left_expr":{"type":"numeric_atoms","value":1682,"base":4},"right_expr":{"type":"numeric_atoms","value":2411,"base":4}},"right_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":2582,"base":4}}}}},"used_operators":["HrjLwUk87U","HmxsFra2vL","tmPS8pqC7x","D617RFjZIq","WhqkvtTD3t","SdCjLnB6rR","AzXXKTstlj","27wFxooxGf","Y7wcNGrDQJ","ZGCBLdVRRX"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","rJVOvQCfKK","hTbEZDJLEm","o20kRiQErp","eewbuw0ToL","zVYPLywUTj","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","eLAdDNolq6","9FxExcQeMw","Ph9nP6C5qx","g55IO6H4Gj","NTOWxs364D","glklzrTFfD","tifHPKVTfV","U7g4x0WXJJ"],"result":"⪩⨒∯-1032232","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = D617RFjZIq, unary_op_definition = 'a⩢≌ = { ((a∸)∟) }', output=113","layer":3},{"info":"number node, value=1652","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=1000, 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=113, 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=113","layer":2},{"info":"number node, value=4435","layer":4},{"info":"number node, value=3214","layer":4},{"info":"compute binary expreesion, left_input=4435, right_input=3214, op_id = AzXXKTstlj binary_op_definition= 'a∳⫺b = { (a≣⋋) , if (b⫳≱↱947)==166 ; (a⇣⩺⋵b) , else }', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":2},{"info":"compute binary expreesion, left_input=113, right_input=-522, op_id = HmxsFra2vL binary_op_definition= 'a∙∹∝b = { ((a⪒408)∲⫓(b⩤)) , if (a⫩⊇)==144 ; ((a⩤)⪠⩆⊳) , else }', output=0","layer":1},{"info":"number node, value=1682","layer":4},{"info":"number node, value=2411","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=2411, op_id = Y7wcNGrDQJ binary_op_definition= 'a⩵∡b = { ((b⇼⇔∾a)⩚⊴⇥(a⨁⊸⫻)) }', output=-1074","layer":3},{"info":"number node, value=2582","layer":4},{"info":"compute unary expreesion, input=2582, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽a = { (a∑⇟⊟a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1074, 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=-1074","layer":2},{"info":"compute unary expreesion, input=-1074, op_id = 27wFxooxGf, unary_op_definition = '⊢≑≆a = { a , if (≤/a)==126 and a<49 ; ((559⨸⪁a)≧⫂∧(349⩷∴a)) , else }', output=2341","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=2341, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-5038","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯130022⩢≌)⨪↰⇹⪩⨒∯121310⫉⨲⊜⪩⨒∯33220∙∹∝(⪩⨒∯1011103∳⫺⪩⨒∯302032⫚⫇))⪚(⊢≑≆((⪩⨒∯122102⩵∡⪩⨒∯211223)⨪↰⇹(⇵⪽⪩⨒∯220112)))=⪩⨒∯-1032232","reverse_text":"⪩⨒∯-1032232=((⪩⨒∯130022⩢≌)⨪↰⇹⪩⨒∯121310⫉⨲⊜⪩⨒∯33220∙∹∝(⪩⨒∯1011103∳⫺⪩⨒∯302032⫚⫇))⪚(⊢≑≆((⪩⨒∯122102⩵∡⪩⨒∯211223)⨪↰⇹(⇵⪽⪩⨒∯220112)))","cot":[{"info":"⪩⨒∯130022⩢≌=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯121310⫉⨲⊜⪩⨒∯33220=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1301⨪↰⇹⪩⨒∯0=⪩⨒∯1301","layer":2},{"info":"⪩⨒∯1011103∳⫺⪩⨒∯302032=⪩⨒∯-10010","layer":3},{"info":"⪩⨒∯-10010⫚⫇=⪩⨒∯-20022","layer":2},{"info":"⪩⨒∯1301∙∹∝⪩⨒∯-20022=⪩⨒∯0","layer":1},{"info":"⪩⨒∯122102⩵∡⪩⨒∯211223=⪩⨒∯-100302","layer":3},{"info":"⇵⪽⪩⨒∯220112=NaN","layer":3},{"info":"⪩⨒∯-100302⨪↰⇹NaN=⪩⨒∯-100302","layer":2},{"info":"⊢≑≆⪩⨒∯-100302=⪩⨒∯210211","layer":1},{"info":"⪩⨒∯0⪚⪩⨒∯210211=⪩⨒∯-1032232","layer":0}]}
{"id":919,"expression_no_base_symbol":"((⨴⫝(⫯$1438$))↓(⋣($4670$⨟⋌⩍$4296$)))⇡⇂((⨰⫟⨤$8832$⨽∌$3517$)⇼⇔∾(⊙↵-$1993$)⨰(⇁⨣⪵$1264$))","expression":"((⨴⫝(⫯⪩⨒∯112132))↓(⋣(⪩⨒∯1020332⨟⋌⩍⪩⨒∯1003020)))⇡⇂((⨰⫟⨤⪩⨒∯2022000⨽∌⪩⨒∯312331)⇼⇔∾(⊙↵-⪩⨒∯133021)⨰(⇁⨣⪵⪩⨒∯103300))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":25920,"operation_count":12,"complexity_ratio":2160.0,"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":1438,"base":4}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4670,"base":4},"right_expr":{"type":"numeric_atoms","value":4296,"base":4}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":8832,"base":4},"right_expr":{"type":"numeric_atoms","value":3517,"base":4}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1993,"base":4}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1264,"base":4}}}}},"used_operators":["UMwdvZNt44","Af076pWI7l","SVb2v531z1","H6BK1Evt7c","zQWRhDnn8F","rGHVDoGpnC","tifHPKVTfV","Tw270M8GLb","9samAPKr6k","eewbuw0ToL","oWn0xqSxBt","inkyxCbjAn"],"dependent_operators":["9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","oDCm7WA9JY","XnXgA4xnOs","ocnLzx9CaJ","3sJ7IOPOlU","9cloC0Ngie","SWo3A1KBJH","jWTQ2TZYIH","pRsWfj4Fpp","DyGG3AbaNP","5obUd6DV38","8HhzD0ZcuI","YbUVn0Rbpy","AdZkA7nFnk","SIgE0bArFf","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta"],"result":"⪩⨒∯-2003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1438","layer":4},{"info":"compute unary expreesion, input=1438, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-45608","layer":3},{"info":"compute unary expreesion, input=-45608, 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=4670","layer":4},{"info":"number node, value=4296","layer":4},{"info":"compute binary expreesion, left_input=4670, right_input=4296, 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 = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-113","layer":2},{"info":"compute binary expreesion, left_input=2828198, right_input=-113, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=-134","layer":1},{"info":"number node, value=8832","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=8832, right_input=3517, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"number node, value=1993","layer":4},{"info":"compute unary expreesion, input=1993, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1264","layer":4},{"info":"compute unary expreesion, input=1264, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4492662, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, 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=-131","layer":0}],"base":4,"result_base":4,"text":"((⨴⫝(⫯⪩⨒∯112132))↓(⋣(⪩⨒∯1020332⨟⋌⩍⪩⨒∯1003020)))⇡⇂((⨰⫟⨤⪩⨒∯2022000⨽∌⪩⨒∯312331)⇼⇔∾(⊙↵-⪩⨒∯133021)⨰(⇁⨣⪵⪩⨒∯103300))=⪩⨒∯-2003","reverse_text":"⪩⨒∯-2003=((⨴⫝(⫯⪩⨒∯112132))↓(⋣(⪩⨒∯1020332⨟⋌⩍⪩⨒∯1003020)))⇡⇂((⨰⫟⨤⪩⨒∯2022000⨽∌⪩⨒∯312331)⇼⇔∾(⊙↵-⪩⨒∯133021)⨰(⇁⨣⪵⪩⨒∯103300))","cot":[{"info":"⫯⪩⨒∯112132=⪩⨒∯-23020220","layer":3},{"info":"⨴⫝⪩⨒∯-23020220=⪩⨒∯22302132212","layer":2},{"info":"⪩⨒∯1020332⨟⋌⩍⪩⨒∯1003020=NaN","layer":3},{"info":"⋣NaN=⪩⨒∯-1301","layer":2},{"info":"⪩⨒∯22302132212↓⪩⨒∯-1301=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯2022000⨽∌⪩⨒∯312331=⪩⨒∯0","layer":3},{"info":"⨰⫟⨤⪩⨒∯0=⪩⨒∯101020311312","layer":2},{"info":"⊙↵-⪩⨒∯133021=⪩⨒∯-1","layer":3},{"info":"⇁⨣⪵⪩⨒∯103300=NaN","layer":3},{"info":"⪩⨒∯-1⨰NaN=NaN","layer":2},{"info":"⪩⨒∯101020311312⇼⇔∾NaN=NaN","layer":1},{"info":"⪩⨒∯-2012⇡⇂NaN=⪩⨒∯-2003","layer":0}]}
{"id":920,"expression_no_base_symbol":"($3956$⫯⪬∳$1437$≚⊃≕(⇋↷$1340$)⨚⇆(⋎⨆$1737$)⪭($3368$⊋≦⊧$1112$))↦","expression":"(⪩⨒∯331310⫯⪬∳⪩⨒∯112131≚⊃≕(⇋↷⪩⨒∯110330)⨚⇆(⋎⨆⪩⨒∯123021)⪭(⪩⨒∯310220⊋≦⊧⪩⨒∯101120))↦","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5145,"operation_count":8,"complexity_ratio":643.125,"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":3956,"base":4},"right_expr":{"type":"numeric_atoms","value":1437,"base":4}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":1340,"base":4}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"unary","operator":"⋎⨆","unary_expr":{"type":"numeric_atoms","value":1737,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":3368,"base":4},"right_expr":{"type":"numeric_atoms","value":1112,"base":4}}}}},"used_operators":["fFznvYxMfW","lwHaAYXP2r","Bmrmz2XGnR","d7ASUq0ydm","SWo3A1KBJH","j9kHMeSvPp","E64sFOc4tB","oRDoc9rAEX"],"dependent_operators":["L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","COABgblf1C","xUOZtlo3hN","PxiHyQbrIp","l07mrZUIn9","3sJ7IOPOlU","liw5iZPkLH","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3956","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=3956, right_input=1437, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=18376","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=10720","layer":3},{"info":"compute binary expreesion, left_input=18376, right_input=10720, 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":"number node, value=1737","layer":4},{"info":"compute unary expreesion, input=1737, 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=3368","layer":4},{"info":"number node, value=1112","layer":4},{"info":"compute binary expreesion, left_input=3368, right_input=1112, 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=-1984","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1984, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-174, 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 = 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":4,"result_base":4,"text":"(⪩⨒∯331310⫯⪬∳⪩⨒∯112131≚⊃≕(⇋↷⪩⨒∯110330)⨚⇆(⋎⨆⪩⨒∯123021)⪭(⪩⨒∯310220⊋≦⊧⪩⨒∯101120))↦=NaN","reverse_text":"NaN=(⪩⨒∯331310⫯⪬∳⪩⨒∯112131≚⊃≕(⇋↷⪩⨒∯110330)⨚⇆(⋎⨆⪩⨒∯123021)⪭(⪩⨒∯310220⊋≦⊧⪩⨒∯101120))↦","cot":[{"info":"⪩⨒∯331310⫯⪬∳⪩⨒∯112131=⪩⨒∯10133020","layer":3},{"info":"⇋↷⪩⨒∯110330=⪩⨒∯2213200","layer":3},{"info":"⪩⨒∯10133020≚⊃≕⪩⨒∯2213200=⪩⨒∯1003","layer":2},{"info":"⋎⨆⪩⨒∯123021=⪩⨒∯0","layer":3},{"info":"⪩⨒∯310220⊋≦⊧⪩⨒∯101120=⪩⨒∯-133000","layer":3},{"info":"⪩⨒∯0⪭⪩⨒∯-133000=⪩⨒∯-2232","layer":2},{"info":"⪩⨒∯1003⨚⇆⪩⨒∯-2232=NaN","layer":1},{"info":"NaN↦=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"(($4761$⫞⩸⩒$1365$⋻⩜⩜(≔$3049$))≒∊(↽≂$1472$⫞⩸⩒$4157$))⩇∃⫛(↔($1937$⋥⋵⩄$3658$⩇∃⫛(⇘$2339$)))","expression":"((⪩⨒∯1022121⫞⩸⩒⪩⨒∯111111⋻⩜⩜(≔⪩⨒∯233221))≒∊(↽≂⪩⨒∯113000⫞⩸⩒⪩⨒∯1000331))⩇∃⫛(↔(⪩⨒∯132101⋥⋵⩄⪩⨒∯321022⩇∃⫛(⇘⪩⨒∯210203)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1181965,"operation_count":11,"complexity_ratio":107451.36363636363,"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":4761,"base":4},"right_expr":{"type":"numeric_atoms","value":1365,"base":4}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":3049,"base":4}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫞⩸⩒","left_expr":{"type":"numeric_atoms","value":1472,"base":4},"right_expr":{"type":"numeric_atoms","value":4157,"base":4}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"numeric_atoms","value":1937,"base":4},"right_expr":{"type":"numeric_atoms","value":3658,"base":4}},"right_expr":{"type":"unary","operator":"⇘","unary_expr":{"type":"numeric_atoms","value":2339,"base":4}}}}},"used_operators":["1aApVXNlOP","5KTvxBwnZo","oDCm7WA9JY","XGcMNugi78","8FLs4eVsLt","u6S6b8DprG","ruOEQAzv1W","7t3wd0Fuz7","MGuIdZPyUC"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","VJ330n2nnx","JclMnS0uGI","SWo3A1KBJH","rJVOvQCfKK","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X"],"result":"⪩⨒∯-203012","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4761","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=4761, right_input=1365, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=1365","layer":3},{"info":"number node, value=3049","layer":4},{"info":"compute unary expreesion, input=3049, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-84078","layer":3},{"info":"compute binary expreesion, left_input=1365, right_input=-84078, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=2730","layer":2},{"info":"number node, value=1472","layer":4},{"info":"number node, value=4157","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=4157, op_id = XGcMNugi78 binary_op_definition= 'a⫞⩸⩒b = { (a⨎b) , if ((⇋↷b)>164 and (a↬⩅∪)<=12 and (b⨔⇊430)!=387) ; a , else }', output=4157","layer":3},{"info":"compute unary expreesion, input=4157, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-8314","layer":2},{"info":"compute binary expreesion, left_input=2730, right_input=-8314, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-2246","layer":1},{"info":"number node, value=1937","layer":4},{"info":"number node, value=3658","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=3658, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=113","layer":3},{"info":"number node, value=2339","layer":4},{"info":"compute unary expreesion, input=2339, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=134722","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=134722, 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=135082","layer":2},{"info":"compute unary expreesion, input=135082, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134809","layer":1},{"info":"compute binary expreesion, left_input=-2246, right_input=-134809, 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=-2246","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1022121⫞⩸⩒⪩⨒∯111111⋻⩜⩜(≔⪩⨒∯233221))≒∊(↽≂⪩⨒∯113000⫞⩸⩒⪩⨒∯1000331))⩇∃⫛(↔(⪩⨒∯132101⋥⋵⩄⪩⨒∯321022⩇∃⫛(⇘⪩⨒∯210203)))=⪩⨒∯-203012","reverse_text":"⪩⨒∯-203012=((⪩⨒∯1022121⫞⩸⩒⪩⨒∯111111⋻⩜⩜(≔⪩⨒∯233221))≒∊(↽≂⪩⨒∯113000⫞⩸⩒⪩⨒∯1000331))⩇∃⫛(↔(⪩⨒∯132101⋥⋵⩄⪩⨒∯321022⩇∃⫛(⇘⪩⨒∯210203)))","cot":[{"info":"⪩⨒∯1022121⫞⩸⩒⪩⨒∯111111=⪩⨒∯111111","layer":3},{"info":"≔⪩⨒∯233221=⪩⨒∯-110201232","layer":3},{"info":"⪩⨒∯111111⋻⩜⩜⪩⨒∯-110201232=⪩⨒∯222222","layer":2},{"info":"⪩⨒∯113000⫞⩸⩒⪩⨒∯1000331=⪩⨒∯1000331","layer":3},{"info":"↽≂⪩⨒∯1000331=⪩⨒∯-2001322","layer":2},{"info":"⪩⨒∯222222≒∊⪩⨒∯-2001322=⪩⨒∯-203012","layer":1},{"info":"⪩⨒∯132101⋥⋵⩄⪩⨒∯321022=⪩⨒∯1301","layer":3},{"info":"⇘⪩⨒∯210203=⪩⨒∯200321002","layer":3},{"info":"⪩⨒∯1301⩇∃⫛⪩⨒∯200321002=⪩⨒∯200332222","layer":2},{"info":"↔⪩⨒∯200332222=⪩⨒∯-200322121","layer":1},{"info":"⪩⨒∯-203012⩇∃⫛⪩⨒∯-200322121=⪩⨒∯-203012","layer":0}]}
{"id":922,"expression_no_base_symbol":"(⪁⇼((⇾⩊⇾$2243$)∷(⩩$2958$)))⋝⋈⪟(⊑$3465$≦↸$7784$)⇂≾⫗($5980$⇡⇂$2925$⨿(⪫⨮⊛$3022$))","expression":"(⪁⇼((⇾⩊⇾⪩⨒∯203003)∷(⩩⪩⨒∯232032)))⋝⋈⪟(⊑⪩⨒∯312021≦↸⪩⨒∯1321220)⇂≾⫗(⪩⨒∯1131130⇡⇂⪩⨒∯231231⨿(⪫⨮⊛⪩⨒∯233032))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1843911,"operation_count":11,"complexity_ratio":167628.27272727274,"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":2243,"base":4}},"right_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":2958,"base":4}}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"≦↸","left_expr":{"type":"numeric_atoms","value":3465,"base":4},"right_expr":{"type":"numeric_atoms","value":7784,"base":4}}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"binary","operator":"⇡⇂","left_expr":{"type":"numeric_atoms","value":5980,"base":4},"right_expr":{"type":"numeric_atoms","value":2925,"base":4}},"right_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":3022,"base":4}}}}},"used_operators":["2DDjHMKMc0","ZNVVrZ94lY","D3AQDKkPcf","bx9Z9DAK5y","kMhfGuqI2H","aBQ6xLxuTc","IkUmn0D7oy","RygbFNSyEJ","abYXlopdE0","UMwdvZNt44","w5FWba1tyO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","9FxExcQeMw","NTOWxs364D","7j4O788W3g","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","eLAdDNolq6","e1ybzncUwg","DZ8iAZOCBD","XIabStNQrY","12rbrZMWeM","2DDjHMKMc0","g55IO6H4Gj","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2243","layer":4},{"info":"compute unary expreesion, input=2243, op_id = bx9Z9DAK5y, unary_op_definition = '⇾⩊⇾a = { (⊄⩳↩((a+259)⫡⨏(a⫩⊇))) }', output=-26673","layer":3},{"info":"number node, value=2958","layer":4},{"info":"compute unary expreesion, input=2958, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-26673, 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 unary expreesion, input=nan, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=nan","layer":1},{"info":"number node, value=3465","layer":4},{"info":"number node, value=7784","layer":4},{"info":"compute binary expreesion, left_input=3465, right_input=7784, op_id = RygbFNSyEJ binary_op_definition= 'a≦↸b = { (((≤/a)⋳⪒(b⊉≛↸a))⋝⋈⪟((a⇋≉)⨸⪁(≉a))) }', output=-21817","layer":3},{"info":"compute unary expreesion, input=-21817, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=5980","layer":4},{"info":"number node, value=2925","layer":4},{"info":"compute binary expreesion, left_input=5980, right_input=2925, 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=3022","layer":4},{"info":"compute unary expreesion, input=3022, 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=nan, right_input=nan, 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=192, right_input=67, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-670, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪁⇼((⇾⩊⇾⪩⨒∯203003)∷(⩩⪩⨒∯232032)))⋝⋈⪟(⊑⪩⨒∯312021≦↸⪩⨒∯1321220)⇂≾⫗(⪩⨒∯1131130⇡⇂⪩⨒∯231231⨿(⪫⨮⊛⪩⨒∯233032))=NaN","reverse_text":"NaN=(⪁⇼((⇾⩊⇾⪩⨒∯203003)∷(⩩⪩⨒∯232032)))⋝⋈⪟(⊑⪩⨒∯312021≦↸⪩⨒∯1321220)⇂≾⫗(⪩⨒∯1131130⇡⇂⪩⨒∯231231⨿(⪫⨮⊛⪩⨒∯233032))","cot":[{"info":"⇾⩊⇾⪩⨒∯203003=⪩⨒∯-12200301","layer":3},{"info":"⩩⪩⨒∯232032=NaN","layer":3},{"info":"⪩⨒∯-12200301∷NaN=NaN","layer":2},{"info":"⪁⇼NaN=NaN","layer":1},{"info":"⪩⨒∯312021≦↸⪩⨒∯1321220=⪩⨒∯-11110321","layer":3},{"info":"⊑⪩⨒∯-11110321=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯1131130⇡⇂⪩⨒∯231231=NaN","layer":3},{"info":"⪫⨮⊛⪩⨒∯233032=NaN","layer":3},{"info":"NaN⨿NaN=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯3000⇂≾⫗⪩⨒∯1003=⪩⨒∯-22132","layer":1},{"info":"NaN⋝⋈⪟⪩⨒∯-22132=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"(↥≼⋛(∓⪦(↥$1280$)))⨰(($4460$⨟⋌⩍$1155$)⊱⇼⊻($7741$⨵⪆$2130$)≓∲((⪫⨮⊛$2296$)⇟⨁⪰))","expression":"(↥≼⋛(∓⪦(↥⪩⨒∯110000)))⨰((⪩⨒∯1011230⨟⋌⩍⪩⨒∯102003)⊱⇼⊻(⪩⨒∯1320331⨵⪆⪩⨒∯201102)≓∲((⪫⨮⊛⪩⨒∯203320)⇟⨁⪰))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1381527,"operation_count":10,"complexity_ratio":138152.7,"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":1280,"base":4}}}},"right_expr":{"type":"binary","operator":"≓∲","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4460,"base":4},"right_expr":{"type":"numeric_atoms","value":1155,"base":4}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":7741,"base":4},"right_expr":{"type":"numeric_atoms","value":2130,"base":4}}},"right_expr":{"type":"unary","operator":"⇟⨁⪰","unary_expr":{"type":"unary","operator":"⪫⨮⊛","unary_expr":{"type":"numeric_atoms","value":2296,"base":4}}}}},"used_operators":["eewbuw0ToL","x5lMkHmzsq","D309nIvmXG","A8NUZmVepG","s1XTVnmDOJ","FyVja0WsTP","rGHVDoGpnC","2DQ55sFlQl","BX1lVwlMe0","w5FWba1tyO"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","P8v4zCKN1o","sdazOOVcIp","Ph9nP6C5qx","eewbuw0ToL","k8jYdgA6NY","HiPekx5b7W","rysDP5nf3Z","9ICcGScMcE","XhwjNDsVaA","3mBM5G4a3l","5twsqlHp2o","nCS4ZIUYfx","YSKBFp38Pu","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","xUOZtlo3hN","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1280","layer":4},{"info":"compute unary expreesion, input=1280, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = D309nIvmXG, unary_op_definition = '∓⪦a = { (((a≧⫂∧a)⨰(a⨰a))⨰(∥⊫(343⪨≂a))) }', output=-2104","layer":2},{"info":"compute unary expreesion, input=-2104, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-2071","layer":1},{"info":"number node, value=4460","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=4460, right_input=1155, 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=7741","layer":4},{"info":"number node, value=2130","layer":4},{"info":"compute binary expreesion, left_input=7741, right_input=2130, 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=nan, right_input=160, 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=2296","layer":4},{"info":"compute unary expreesion, input=2296, op_id = w5FWba1tyO, unary_op_definition = '⪫⨮⊛a = { a , if (a⨭⪣527)<=182 ; ((⨰⫟⨤(a⪄a))⩖⊿((a⊬⨰a)∟)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BX1lVwlMe0, unary_op_definition = 'a⇟⨁⪰ = { (⨞⊢(a⋝⋈⪟a)) }', 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=-2071, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(↥≼⋛(∓⪦(↥⪩⨒∯110000)))⨰((⪩⨒∯1011230⨟⋌⩍⪩⨒∯102003)⊱⇼⊻(⪩⨒∯1320331⨵⪆⪩⨒∯201102)≓∲((⪫⨮⊛⪩⨒∯203320)⇟⨁⪰))=NaN","reverse_text":"NaN=(↥≼⋛(∓⪦(↥⪩⨒∯110000)))⨰((⪩⨒∯1011230⨟⋌⩍⪩⨒∯102003)⊱⇼⊻(⪩⨒∯1320331⨵⪆⪩⨒∯201102)≓∲((⪫⨮⊛⪩⨒∯203320)⇟⨁⪰))","cot":[{"info":"↥⪩⨒∯110000=⪩⨒∯11","layer":3},{"info":"∓⪦⪩⨒∯11=⪩⨒∯-200320","layer":2},{"info":"↥≼⋛⪩⨒∯-200320=⪩⨒∯-200113","layer":1},{"info":"⪩⨒∯1011230⨟⋌⩍⪩⨒∯102003=NaN","layer":3},{"info":"⪩⨒∯1320331⨵⪆⪩⨒∯201102=⪩⨒∯2200","layer":3},{"info":"NaN⊱⇼⊻⪩⨒∯2200=NaN","layer":2},{"info":"⪫⨮⊛⪩⨒∯203320=NaN","layer":3},{"info":"NaN⇟⨁⪰=NaN","layer":2},{"info":"NaN≓∲NaN=NaN","layer":1},{"info":"⪩⨒∯-200113⨰NaN=NaN","layer":0}]}
{"id":924,"expression_no_base_symbol":"((≇⪴$3961$)⪟⇏(∷≠$1448$)∲⫓($5015$≠≀$1367$)⇂≾⫗(⨑⩽⪐$5565$))⨔⇊((($2106$⋩≍≻)⨻⩈⩔(⊿$2682$))↬((⇨$4068$)⫰⋱$1066$⫣⪄⊒$1231$))","expression":"((≇⪴⪩⨒∯331321)⪟⇏(∷≠⪩⨒∯112220)∲⫓(⪩⨒∯1032113≠≀⪩⨒∯111113)⇂≾⫗(⨑⩽⪐⪩⨒∯1112331))⨔⇊(((⪩⨒∯200322⋩≍≻)⨻⩈⩔(⊿⪩⨒∯221322))↬((⇨⪩⨒∯333210)⫰⋱⪩⨒∯100222⫣⪄⊒⪩⨒∯103033))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":266,"operation_count":15,"complexity_ratio":17.733333333333334,"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":3961,"base":4}},"right_expr":{"type":"unary","operator":"∷≠","unary_expr":{"type":"numeric_atoms","value":1448,"base":4}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":5015,"base":4},"right_expr":{"type":"numeric_atoms","value":1367,"base":4}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5565,"base":4}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"unary","operator":"⋩≍≻","unary_expr":{"type":"numeric_atoms","value":2106,"base":4}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":2682,"base":4}}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"unary","operator":"⇨","unary_expr":{"type":"numeric_atoms","value":4068,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":1066,"base":4},"right_expr":{"type":"numeric_atoms","value":1231,"base":4}}}}},"used_operators":["JclMnS0uGI","i8ToyICDmI","GODebY97qR","zoVPnxeHJ3","QiR2Oyf5Xj","aBQ6xLxuTc","IwW236VD4Y","AF7qkfDlqP","B5M0gjZbta","nEsXyWgiOK","WYd1w68Nbz","DO4fhlbJSI","6o9Blt3TJ6","G9tJMlZ94a","RabNbG55vr"],"dependent_operators":["9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","7j4O788W3g","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","P8v4zCKN1o","Noe24qw2ks","mqXw5SEYmG","IWmyXbctLI","COABgblf1C","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","k8jYdgA6NY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3961","layer":4},{"info":"compute unary expreesion, input=3961, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-10543","layer":3},{"info":"number node, value=1448","layer":4},{"info":"compute unary expreesion, input=1448, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=1448","layer":3},{"info":"compute binary expreesion, left_input=-10543, right_input=1448, 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=5015","layer":4},{"info":"number node, value=1367","layer":4},{"info":"compute binary expreesion, left_input=5015, right_input=1367, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-9724","layer":3},{"info":"number node, value=5565","layer":4},{"info":"compute unary expreesion, input=5565, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5292","layer":3},{"info":"compute binary expreesion, left_input=-9724, right_input=-5292, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-670","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-670, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=2106","layer":4},{"info":"compute unary expreesion, input=2106, 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=2682","layer":4},{"info":"compute unary expreesion, input=2682, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-11466","layer":3},{"info":"compute binary expreesion, left_input=-55, right_input=-11466, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=-174","layer":2},{"info":"number node, value=4068","layer":4},{"info":"compute unary expreesion, input=4068, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=0","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1231, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5766","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5766, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=5833","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=5833, 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=0, 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":0}],"base":4,"result_base":4,"text":"((≇⪴⪩⨒∯331321)⪟⇏(∷≠⪩⨒∯112220)∲⫓(⪩⨒∯1032113≠≀⪩⨒∯111113)⇂≾⫗(⨑⩽⪐⪩⨒∯1112331))⨔⇊(((⪩⨒∯200322⋩≍≻)⨻⩈⩔(⊿⪩⨒∯221322))↬((⇨⪩⨒∯333210)⫰⋱⪩⨒∯100222⫣⪄⊒⪩⨒∯103033))=NaN","reverse_text":"NaN=((≇⪴⪩⨒∯331321)⪟⇏(∷≠⪩⨒∯112220)∲⫓(⪩⨒∯1032113≠≀⪩⨒∯111113)⇂≾⫗(⨑⩽⪐⪩⨒∯1112331))⨔⇊(((⪩⨒∯200322⋩≍≻)⨻⩈⩔(⊿⪩⨒∯221322))↬((⇨⪩⨒∯333210)⫰⋱⪩⨒∯100222⫣⪄⊒⪩⨒∯103033))","cot":[{"info":"≇⪴⪩⨒∯331321=⪩⨒∯-2210233","layer":3},{"info":"∷≠⪩⨒∯112220=⪩⨒∯112220","layer":3},{"info":"⪩⨒∯-2210233⪟⇏⪩⨒∯112220=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1032113≠≀⪩⨒∯111113=⪩⨒∯-2113330","layer":3},{"info":"⨑⩽⪐⪩⨒∯1112331=⪩⨒∯-1102230","layer":3},{"info":"⪩⨒∯-2113330⇂≾⫗⪩⨒∯-1102230=⪩⨒∯-22132","layer":2},{"info":"⪩⨒∯0∲⫓⪩⨒∯-22132=⪩⨒∯0","layer":1},{"info":"⪩⨒∯200322⋩≍≻=⪩⨒∯-313","layer":3},{"info":"⊿⪩⨒∯221322=⪩⨒∯-2303022","layer":3},{"info":"⪩⨒∯-313⨻⩈⩔⪩⨒∯-2303022=⪩⨒∯-2232","layer":2},{"info":"⇨⪩⨒∯333210=⪩⨒∯0","layer":3},{"info":"⪩⨒∯100222⫣⪄⊒⪩⨒∯103033=⪩⨒∯-1122012","layer":3},{"info":"⪩⨒∯0⫰⋱⪩⨒∯-1122012=⪩⨒∯1123021","layer":2},{"info":"⪩⨒∯-2232↬⪩⨒∯1123021=NaN","layer":1},{"info":"⪩⨒∯0⨔⇊NaN=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"((($5088$⨐⩸⫘$1991$)∀⊥⇻)≥⨤⩑($1005$⩹$4674$)∋(⋗⩬⋾$2100$))↹⊜(⨰⫟⨤(⇺⋃($1675$⩒⫫$1929$)))","expression":"(((⪩⨒∯1033200⨐⩸⫘⪩⨒∯133013)∀⊥⇻)≥⨤⩑(⪩⨒∯33231⩹⪩⨒∯1021002)∋(⋗⩬⋾⪩⨒∯200310))↹⊜(⨰⫟⨤(⇺⋃(⪩⨒∯122023⩒⫫⪩⨒∯132021)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1026676,"operation_count":10,"complexity_ratio":102667.6,"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":5088,"base":4},"right_expr":{"type":"numeric_atoms","value":1991,"base":4}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":1005,"base":4},"right_expr":{"type":"numeric_atoms","value":4674,"base":4}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2100,"base":4}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":1675,"base":4},"right_expr":{"type":"numeric_atoms","value":1929,"base":4}}}}},"used_operators":["9bazX3JMtO","gJLn6v0xnP","k4iM1060OG","fu6greOZ01","ukq6epAj5P","2Wsdkap16l","DpFCA1CohY","Tw270M8GLb","E5v5B3UAjG","KFSx94NKJn"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","QvoQhV0rrE","XhwjNDsVaA","3Oe9XWJUTD","3ViojmjbAp","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5088","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=5088, right_input=1991, 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 = k4iM1060OG, unary_op_definition = 'a∀⊥⇻ = { ((a∠⫱a)/(a⊝⪿⪼a)) }', output=nan","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=4674","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=4674, 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=4672","layer":3},{"info":"number node, value=2100","layer":4},{"info":"compute unary expreesion, input=2100, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6300","layer":3},{"info":"compute binary expreesion, left_input=4672, right_input=-6300, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-73312","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-73312, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":1},{"info":"number node, value=1675","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=1929, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=1373","layer":3},{"info":"compute unary expreesion, input=1373, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', 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":4,"result_base":4,"text":"(((⪩⨒∯1033200⨐⩸⫘⪩⨒∯133013)∀⊥⇻)≥⨤⩑(⪩⨒∯33231⩹⪩⨒∯1021002)∋(⋗⩬⋾⪩⨒∯200310))↹⊜(⨰⫟⨤(⇺⋃(⪩⨒∯122023⩒⫫⪩⨒∯132021)))=NaN","reverse_text":"NaN=(((⪩⨒∯1033200⨐⩸⫘⪩⨒∯133013)∀⊥⇻)≥⨤⩑(⪩⨒∯33231⩹⪩⨒∯1021002)∋(⋗⩬⋾⪩⨒∯200310))↹⊜(⨰⫟⨤(⇺⋃(⪩⨒∯122023⩒⫫⪩⨒∯132021)))","cot":[{"info":"⪩⨒∯1033200⨐⩸⫘⪩⨒∯133013=NaN","layer":3},{"info":"NaN∀⊥⇻=NaN","layer":2},{"info":"⪩⨒∯33231⩹⪩⨒∯1021002=⪩⨒∯1021000","layer":3},{"info":"⋗⩬⋾⪩⨒∯200310=⪩⨒∯-1202130","layer":3},{"info":"⪩⨒∯1021000∋⪩⨒∯-1202130=⪩⨒∯-101321200","layer":2},{"info":"NaN≥⨤⩑⪩⨒∯-101321200=NaN","layer":1},{"info":"⪩⨒∯122023⩒⫫⪩⨒∯132021=⪩⨒∯111131","layer":3},{"info":"⇺⋃⪩⨒∯111131=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN↹⊜NaN=NaN","layer":0}]}
{"id":926,"expression_no_base_symbol":"(($1239$⨐$2382$⇉⇉)⨎⋸⪻)⨽(≸(($1677$⊢)↡⊰⫅(⩷$4209$)))","expression":"((⪩⨒∯103113⨐⪩⨒∯211032⇉⇉)⨎⋸⪻)⨽(≸((⪩⨒∯122031⊢)↡⊰⫅(⩷⪩⨒∯1001301)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":771567,"operation_count":8,"complexity_ratio":96445.875,"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":1239,"base":4},"right_expr":{"type":"numeric_atoms","value":2382,"base":4}}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"binary","operator":"↡⊰⫅","left_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":1677,"base":4}},"right_expr":{"type":"unary","operator":"⩷","unary_expr":{"type":"numeric_atoms","value":4209,"base":4}}}}},"used_operators":["8HhzD0ZcuI","Dk5vyLCiGd","diKm42VcIt","Noe24qw2ks","eOf03JbCpp","VCtxkLNOzz","40aOVDgCDB","1h0rLqGiFr"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","IWmyXbctLI","RygbFNSyEJ","XPYlsWDdGa","k8jYdgA6NY","xUOZtlo3hN","AFVx7xoS7T","iuk5sVOGFA","86A5ENbKR9","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","NTOWxs364D","14qkJME0vr","g55IO6H4Gj","7j4O788W3g"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1239","layer":4},{"info":"number node, value=2382","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=2382, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2478","layer":3},{"info":"compute unary expreesion, input=-2478, op_id = diKm42VcIt, unary_op_definition = 'a⇉⇉ = { (⪸(⨞⊢(a≦↸a))) , if (a⪣⫩)!=30 ; (a%(⪲⇎(a⇌⫙⪟156))) , else }', output=31432","layer":2},{"info":"compute unary expreesion, input=31432, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=63180","layer":1},{"info":"number node, value=1677","layer":4},{"info":"compute unary expreesion, input=1677, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-1924","layer":3},{"info":"number node, value=4209","layer":4},{"info":"compute unary expreesion, input=4209, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-50587","layer":3},{"info":"compute binary expreesion, left_input=-1924, right_input=-50587, 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 = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=63180, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯103113⨐⪩⨒∯211032⇉⇉)⨎⋸⪻)⨽(≸((⪩⨒∯122031⊢)↡⊰⫅(⩷⪩⨒∯1001301)))=NaN","reverse_text":"NaN=((⪩⨒∯103113⨐⪩⨒∯211032⇉⇉)⨎⋸⪻)⨽(≸((⪩⨒∯122031⊢)↡⊰⫅(⩷⪩⨒∯1001301)))","cot":[{"info":"⪩⨒∯103113⨐⪩⨒∯211032=⪩⨒∯-212232","layer":3},{"info":"⪩⨒∯-212232⇉⇉=⪩⨒∯13223020","layer":2},{"info":"⪩⨒∯13223020⨎⋸⪻=⪩⨒∯33123030","layer":1},{"info":"⪩⨒∯122031⊢=⪩⨒∯-132010","layer":3},{"info":"⩷⪩⨒∯1001301=⪩⨒∯-30112123","layer":3},{"info":"⪩⨒∯-132010↡⊰⫅⪩⨒∯-30112123=NaN","layer":2},{"info":"≸NaN=NaN","layer":1},{"info":"⪩⨒∯33123030⨽NaN=NaN","layer":0}]}
{"id":927,"expression_no_base_symbol":"(($3710$⊲⩕⊾$1336$)∣(⪨⨬$6654$))≌($3284$∑⇟⊟$1974$)⇂≾⫗($4095$∖$3499$)≄⊠(⩪∧⨌($1125$⨼⩣$2270$⨵⪆$2209$↼⊘⨖$6648$))","expression":"((⪩⨒∯321332⊲⩕⊾⪩⨒∯110320)∣(⪨⨬⪩⨒∯1213332))≌(⪩⨒∯303110∑⇟⊟⪩⨒∯132312)⇂≾⫗(⪩⨒∯333333∖⪩⨒∯312223)≄⊠(⩪∧⨌(⪩⨒∯101211⨼⩣⪩⨒∯203132⨵⪆⪩⨒∯202201↼⊘⨖⪩⨒∯1213320))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1106,"operation_count":12,"complexity_ratio":92.16666666666667,"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":3710,"base":4},"right_expr":{"type":"numeric_atoms","value":1336,"base":4}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":6654,"base":4}}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3284,"base":4},"right_expr":{"type":"numeric_atoms","value":1974,"base":4}},"right_expr":{"type":"binary","operator":"∖","left_expr":{"type":"numeric_atoms","value":4095,"base":4},"right_expr":{"type":"numeric_atoms","value":3499,"base":4}}}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1125,"base":4},"right_expr":{"type":"numeric_atoms","value":2270,"base":4}},"right_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":2209,"base":4},"right_expr":{"type":"numeric_atoms","value":6648,"base":4}}}}},"used_operators":["vXNesLlMH1","lyWz822IDG","PPChnnnBFF","DmTXOeWf9t","5obUd6DV38","aBQ6xLxuTc","U7g4x0WXJJ","tXD093vOjl","6iOiAJX1F8","2DQ55sFlQl","JxwMv5le6e","bPywburJMS"],"dependent_operators":["d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","T2fj7uvVaJ","nlCqmYiOvY","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","fu6greOZ01","8INZBEW696","DyGG3AbaNP","z6LnFrNh4i","mqXw5SEYmG","u7fv1HBiaC","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd"],"result":"⪩⨒∯13120330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3710","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=3710, right_input=1336, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-69350","layer":3},{"info":"number node, value=6654","layer":4},{"info":"compute unary expreesion, input=6654, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=-69350, right_input=-526, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=69834","layer":2},{"info":"number node, value=3284","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=3284, right_input=1974, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4095","layer":4},{"info":"number node, value=3499","layer":4},{"info":"compute binary expreesion, left_input=4095, right_input=3499, 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=nan, right_input=0, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=69834, 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":1},{"info":"number node, value=1125","layer":4},{"info":"number node, value=2270","layer":4},{"info":"compute binary expreesion, left_input=1125, right_input=2270, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=2209","layer":4},{"info":"number node, value=6648","layer":4},{"info":"compute binary expreesion, left_input=2209, right_input=6648, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=13074","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13074, 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 = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=1600","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1600, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=30268","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯321332⊲⩕⊾⪩⨒∯110320)∣(⪨⨬⪩⨒∯1213332))≌(⪩⨒∯303110∑⇟⊟⪩⨒∯132312)⇂≾⫗(⪩⨒∯333333∖⪩⨒∯312223)≄⊠(⩪∧⨌(⪩⨒∯101211⨼⩣⪩⨒∯203132⨵⪆⪩⨒∯202201↼⊘⨖⪩⨒∯1213320))=⪩⨒∯13120330","reverse_text":"⪩⨒∯13120330=((⪩⨒∯321332⊲⩕⊾⪩⨒∯110320)∣(⪨⨬⪩⨒∯1213332))≌(⪩⨒∯303110∑⇟⊟⪩⨒∯132312)⇂≾⫗(⪩⨒∯333333∖⪩⨒∯312223)≄⊠(⩪∧⨌(⪩⨒∯101211⨼⩣⪩⨒∯203132⨵⪆⪩⨒∯202201↼⊘⨖⪩⨒∯1213320))","cot":[{"info":"⪩⨒∯321332⊲⩕⊾⪩⨒∯110320=⪩⨒∯-100323212","layer":3},{"info":"⪨⨬⪩⨒∯1213332=⪩⨒∯-20032","layer":3},{"info":"⪩⨒∯-100323212∣⪩⨒∯-20032=⪩⨒∯101003022","layer":2},{"info":"⪩⨒∯303110∑⇟⊟⪩⨒∯132312=NaN","layer":3},{"info":"⪩⨒∯333333∖⪩⨒∯312223=⪩⨒∯0","layer":3},{"info":"NaN⇂≾⫗⪩⨒∯0=NaN","layer":2},{"info":"⪩⨒∯101003022≌NaN=NaN","layer":1},{"info":"⪩⨒∯101211⨼⩣⪩⨒∯203132=NaN","layer":3},{"info":"⪩⨒∯202201↼⊘⨖⪩⨒∯1213320=⪩⨒∯3030102","layer":3},{"info":"NaN⨵⪆⪩⨒∯3030102=⪩⨒∯2200","layer":2},{"info":"⩪∧⨌⪩⨒∯2200=⪩⨒∯121000","layer":1},{"info":"NaN≄⊠⪩⨒∯121000=⪩⨒∯13120330","layer":0}]}
{"id":928,"expression_no_base_symbol":"(($1396$⪡$3387$⨁⊸⫻)⫔⩽⩺(⫡⇟⇯(≛$1780$)))≒∊(↸⊣(⇋↷($2872$↺$4657$)))","expression":"((⪩⨒∯111310⪡⪩⨒∯310323⨁⊸⫻)⫔⩽⩺(⫡⇟⇯(≛⪩⨒∯123310)))≒∊(↸⊣(⇋↷(⪩⨒∯230320↺⪩⨒∯1020301)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":728572,"operation_count":9,"complexity_ratio":80952.44444444444,"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":1396,"base":4},"right_expr":{"type":"numeric_atoms","value":3387,"base":4}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"unary","operator":"≛","unary_expr":{"type":"numeric_atoms","value":1780,"base":4}}}},"right_expr":{"type":"unary","operator":"↸⊣","unary_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2872,"base":4},"right_expr":{"type":"numeric_atoms","value":4657,"base":4}}}}},"used_operators":["5KTvxBwnZo","i9eR4S00cU","glklzrTFfD","oraRL2iQuh","qWUSsah53b","W7eaUhjymW","wztAlM01eG","SWo3A1KBJH","7j4O788W3g"],"dependent_operators":["3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","Tw270M8GLb","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","DZ8iAZOCBD","P8v4zCKN1o","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","N41Kp7NANJ","XPYlsWDdGa","7j4O788W3g","DZ8iAZOCBD","8w2t5hMYqp","12rbrZMWeM","f6k1SAg4EE","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1396","layer":4},{"info":"number node, value=3387","layer":4},{"info":"compute binary expreesion, left_input=1396, right_input=3387, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=107","layer":2},{"info":"number node, value=1780","layer":4},{"info":"compute unary expreesion, input=1780, 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 unary expreesion, input=-10, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=848","layer":2},{"info":"compute binary expreesion, left_input=107, right_input=848, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=2872","layer":4},{"info":"number node, value=4657","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=4657, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4657","layer":3},{"info":"compute unary expreesion, input=4657, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=37256","layer":2},{"info":"compute unary expreesion, input=37256, op_id = wztAlM01eG, unary_op_definition = '↸⊣a = { ((⊄⩳↩a)↺(a≋⫹)) , if (⪲⇎a)<33 ; ((a⪒a)⊉≛↸(a⋳⪒a)) , else }', output=-36969","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-36969, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯111310⪡⪩⨒∯310323⨁⊸⫻)⫔⩽⩺(⫡⇟⇯(≛⪩⨒∯123310)))≒∊(↸⊣(⇋↷(⪩⨒∯230320↺⪩⨒∯1020301)))=NaN","reverse_text":"NaN=((⪩⨒∯111310⪡⪩⨒∯310323⨁⊸⫻)⫔⩽⩺(⫡⇟⇯(≛⪩⨒∯123310)))≒∊(↸⊣(⇋↷(⪩⨒∯230320↺⪩⨒∯1020301)))","cot":[{"info":"⪩⨒∯111310⪡⪩⨒∯310323=⪩⨒∯1223","layer":3},{"info":"⪩⨒∯1223⨁⊸⫻=⪩⨒∯1223","layer":2},{"info":"≛⪩⨒∯123310=⪩⨒∯-22","layer":3},{"info":"⫡⇟⇯⪩⨒∯-22=⪩⨒∯31100","layer":2},{"info":"⪩⨒∯1223⫔⩽⩺⪩⨒∯31100=NaN","layer":1},{"info":"⪩⨒∯230320↺⪩⨒∯1020301=⪩⨒∯1020301","layer":3},{"info":"⇋↷⪩⨒∯1020301=⪩⨒∯21012020","layer":2},{"info":"↸⊣⪩⨒∯21012020=⪩⨒∯-21001221","layer":1},{"info":"NaN≒∊⪩⨒∯-21001221=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"($1631$⩦$3986$⫩⊇)∘($2417$⫢⨠$3397$↙($5309$⫚↹⊑$7796$))⩍⋽⫝̸(($1150$↸$4562$)⨓(⇜⊴$2331$))∴((⩩$5129$)⨓($1001$⪭≯$1237$))","expression":"(⪩⨒∯121133⩦⪩⨒∯332102⫩⊇)∘(⪩⨒∯211301⫢⨠⪩⨒∯311011↙(⪩⨒∯1102331⫚↹⊑⪩⨒∯1321310))⩍⋽⫝̸((⪩⨒∯101332↸⪩⨒∯1013102)⨓(⇜⊴⪩⨒∯210123))∴((⩩⪩⨒∯1100021)⨓(⪩⨒∯33221⪭≯⪩⨒∯103111))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":544451,"operation_count":14,"complexity_ratio":38889.357142857145,"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":1631,"base":4},"right_expr":{"type":"numeric_atoms","value":3986,"base":4}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":2417,"base":4},"right_expr":{"type":"numeric_atoms","value":3397,"base":4}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":5309,"base":4},"right_expr":{"type":"numeric_atoms","value":7796,"base":4}}}},"right_expr":{"type":"binary","operator":"∴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1150,"base":4},"right_expr":{"type":"numeric_atoms","value":4562,"base":4}},"right_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"numeric_atoms","value":2331,"base":4}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩩","unary_expr":{"type":"numeric_atoms","value":5129,"base":4}},"right_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"numeric_atoms","value":1001,"base":4},"right_expr":{"type":"numeric_atoms","value":1237,"base":4}}}}},"used_operators":["BiWNJpBvwn","Z5m6OM72h2","BjRHVeLaeN","0kmYd0q39Y","yyfyN0ffXY","xlXykHWxX1","dfKe02y8D2","hrf7POJlIJ","3ViojmjbAp","1eCjFl0mb9","XwDhCwWbUn","kMhfGuqI2H","XAx5wpdLa6"],"dependent_operators":["Ph9nP6C5qx","xUOZtlo3hN","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","tmPS8pqC7x","DpFCA1CohY","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","g55IO6H4Gj","P8v4zCKN1o","23Mk6UjR3U","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","6aG7x05OhS","z63VuFQld9","lFBm8KRb8F","f6k1SAg4EE","ZGCBLdVRRX","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW"],"result":"⪩⨒∯10012011130","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1631","layer":4},{"info":"number node, value=3986","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=3986, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=3262","layer":3},{"info":"compute unary expreesion, input=3262, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3220","layer":2},{"info":"number node, value=2417","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=3397, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"number node, value=5309","layer":4},{"info":"number node, value=7796","layer":4},{"info":"compute binary expreesion, left_input=5309, right_input=7796, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-447, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1341","layer":2},{"info":"compute binary expreesion, left_input=-3220, right_input=-1341, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=3600","layer":1},{"info":"number node, value=1150","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=4562, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1150","layer":3},{"info":"number node, value=2331","layer":4},{"info":"compute unary expreesion, input=2331, 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=-536402","layer":3},{"info":"compute binary expreesion, left_input=1150, right_input=-536402, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=536399","layer":2},{"info":"number node, value=5129","layer":4},{"info":"compute unary expreesion, input=5129, op_id = kMhfGuqI2H, unary_op_definition = '⩩a = { (⇜(a⫩)) , if (⇵⪽a)!=444 ; ((a⪒a)∧) , else }', output=nan","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=1237, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=536399, right_input=nan, op_id = hrf7POJlIJ binary_op_definition= 'a∴b = { ((∥⊫(22⋷b))⨸⪁a) }', output=1074446","layer":1},{"info":"compute binary expreesion, left_input=3600, right_input=1074446, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=1073500","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯121133⩦⪩⨒∯332102⫩⊇)∘(⪩⨒∯211301⫢⨠⪩⨒∯311011↙(⪩⨒∯1102331⫚↹⊑⪩⨒∯1321310))⩍⋽⫝̸((⪩⨒∯101332↸⪩⨒∯1013102)⨓(⇜⊴⪩⨒∯210123))∴((⩩⪩⨒∯1100021)⨓(⪩⨒∯33221⪭≯⪩⨒∯103111))=⪩⨒∯10012011130","reverse_text":"⪩⨒∯10012011130=(⪩⨒∯121133⩦⪩⨒∯332102⫩⊇)∘(⪩⨒∯211301⫢⨠⪩⨒∯311011↙(⪩⨒∯1102331⫚↹⊑⪩⨒∯1321310))⩍⋽⫝̸((⪩⨒∯101332↸⪩⨒∯1013102)⨓(⇜⊴⪩⨒∯210123))∴((⩩⪩⨒∯1100021)⨓(⪩⨒∯33221⪭≯⪩⨒∯103111))","cot":[{"info":"⪩⨒∯121133⩦⪩⨒∯332102=⪩⨒∯302332","layer":3},{"info":"⪩⨒∯302332⫩⊇=⪩⨒∯-302110","layer":2},{"info":"⪩⨒∯211301⫢⨠⪩⨒∯311011=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1102331⫚↹⊑⪩⨒∯1321310=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯2200↙⪩⨒∯-12333=⪩⨒∯-110331","layer":2},{"info":"⪩⨒∯-302110∘⪩⨒∯-110331=⪩⨒∯320100","layer":1},{"info":"⪩⨒∯101332↸⪩⨒∯1013102=⪩⨒∯101332","layer":3},{"info":"⇜⊴⪩⨒∯210123=⪩⨒∯-2002331102","layer":3},{"info":"⪩⨒∯101332⨓⪩⨒∯-2002331102=⪩⨒∯2002331033","layer":2},{"info":"⩩⪩⨒∯1100021=NaN","layer":3},{"info":"⪩⨒∯33221⪭≯⪩⨒∯103111=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"⪩⨒∯2002331033∴NaN=⪩⨒∯10012110032","layer":1},{"info":"⪩⨒∯320100⩍⋽⫝̸⪩⨒∯10012110032=⪩⨒∯10012011130","layer":0}]}
{"id":930,"expression_no_base_symbol":"(⊑($1709$↑))⊹∫⫚($1196$≧⫂∧$2162$)⇣⩺⋵$1546$⨸$1888$⫸⇳(⋣((⨛$1433$)⫸⊐$1978$⨽∌$1285$))","expression":"(⊑(⪩⨒∯122231↑))⊹∫⫚(⪩⨒∯102230≧⫂∧⪩⨒∯201302)⇣⩺⋵⪩⨒∯120022⨸⪩⨒∯131200⫸⇳(⋣((⨛⪩⨒∯112121)⫸⊐⪩⨒∯132322⨽∌⪩⨒∯110011))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2283,"operation_count":11,"complexity_ratio":207.54545454545453,"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":1709,"base":4}}},"right_expr":{"type":"binary","operator":"⇣⩺⋵","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1196,"base":4},"right_expr":{"type":"numeric_atoms","value":2162,"base":4}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"numeric_atoms","value":1546,"base":4},"right_expr":{"type":"numeric_atoms","value":1888,"base":4}}}},"right_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨛","unary_expr":{"type":"numeric_atoms","value":1433,"base":4}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"numeric_atoms","value":1978,"base":4},"right_expr":{"type":"numeric_atoms","value":1285,"base":4}}}}},"used_operators":["gx7XJ7hdpj","uWAJUKEvyW","IkUmn0D7oy","BThhyOhh10","F4yD0voBRQ","Ph9nP6C5qx","KmoU8R5UQR","zQWRhDnn8F","mqXw5SEYmG","CoMdbyAt7R","9samAPKr6k"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","BiWNJpBvwn","w2P8NbNXyL","vg4gO5BX6G","k8jYdgA6NY","g55IO6H4Gj","2td37pGCOC","jLgFTUHLKL","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","i8ToyICDmI","3EYGwJThht","xNBdhnnwKq","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","U6pG0PXrV3","DyGG3AbaNP","liw5iZPkLH","3DZMoQKiUl","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=1709","layer":4},{"info":"compute unary expreesion, input=1709, op_id = BThhyOhh10, unary_op_definition = 'a↑ = { ((a∲⫓a)⇄(262⊭∹↮)) }', output=222","layer":3},{"info":"compute unary expreesion, input=222, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=1196","layer":4},{"info":"number node, value=2162","layer":4},{"info":"compute binary expreesion, left_input=1196, right_input=2162, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1689","layer":3},{"info":"number node, value=1546","layer":4},{"info":"number node, value=1888","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=1888, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=3092","layer":3},{"info":"compute binary expreesion, left_input=1689, right_input=3092, op_id = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-260, op_id = uWAJUKEvyW binary_op_definition= 'a⊹∫⫚b = { (↩(a⊨b)) , if (⩦⩻⨪a)==479 or (b⊉↱≁467)==779 ; ((b⨸⪁b)%(b⩍⋽⫝̸187)) , else }', output=-248","layer":1},{"info":"number node, value=1433","layer":4},{"info":"compute unary expreesion, input=1433, op_id = CoMdbyAt7R, unary_op_definition = '⨛a = { (⊖((≱⇩⩕a)∼(⨡↴a))) }', output=nan","layer":3},{"info":"number node, value=1978","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=1978, right_input=1285, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', 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":"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=-248, 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":0}],"base":4,"result_base":4,"text":"(⊑(⪩⨒∯122231↑))⊹∫⫚(⪩⨒∯102230≧⫂∧⪩⨒∯201302)⇣⩺⋵⪩⨒∯120022⨸⪩⨒∯131200⫸⇳(⋣((⨛⪩⨒∯112121)⫸⊐⪩⨒∯132322⨽∌⪩⨒∯110011))=⪩⨒∯0","reverse_text":"⪩⨒∯0=(⊑(⪩⨒∯122231↑))⊹∫⫚(⪩⨒∯102230≧⫂∧⪩⨒∯201302)⇣⩺⋵⪩⨒∯120022⨸⪩⨒∯131200⫸⇳(⋣((⨛⪩⨒∯112121)⫸⊐⪩⨒∯132322⨽∌⪩⨒∯110011))","cot":[{"info":"⪩⨒∯122231↑=⪩⨒∯3132","layer":3},{"info":"⊑⪩⨒∯3132=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯102230≧⫂∧⪩⨒∯201302=⪩⨒∯122121","layer":3},{"info":"⪩⨒∯120022⨸⪩⨒∯131200=⪩⨒∯300110","layer":3},{"info":"⪩⨒∯122121⇣⩺⋵⪩⨒∯300110=⪩⨒∯-10010","layer":2},{"info":"⪩⨒∯3000⊹∫⫚⪩⨒∯-10010=⪩⨒∯-3320","layer":1},{"info":"⨛⪩⨒∯112121=NaN","layer":3},{"info":"⪩⨒∯132322⨽∌⪩⨒∯110011=⪩⨒∯0","layer":3},{"info":"NaN⫸⊐⪩⨒∯0=NaN","layer":2},{"info":"⋣NaN=⪩⨒∯-1301","layer":1},{"info":"⪩⨒∯-3320⫸⇳⪩⨒∯-1301=⪩⨒∯0","layer":0}]}
{"id":931,"expression_no_base_symbol":"(⨂⪏⇭($1189$⩺⪪$5857$))⋥≓≎(($2783$≚⋢)⫭)⩹($1723$⪪$3232$)↳≱($1070$⫁⪎$2336$)⇴∐(∂($3855$∑⇟⊟$1371$))","expression":"(⨂⪏⇭(⪩⨒∯102211⩺⪪⪩⨒∯1123201))⋥≓≎((⪩⨒∯223133≚⋢)⫭)⩹(⪩⨒∯122323⪪⪩⨒∯302200)↳≱(⪩⨒∯100232⫁⪎⪩⨒∯210200)⇴∐(∂(⪩⨒∯330033∑⇟⊟⪩⨒∯111123))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5659,"operation_count":12,"complexity_ratio":471.5833333333333,"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":1189,"base":4},"right_expr":{"type":"numeric_atoms","value":5857,"base":4}}},"right_expr":{"type":"unary","operator":"⫭","unary_expr":{"type":"unary","operator":"≚⋢","unary_expr":{"type":"numeric_atoms","value":2783,"base":4}}}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":1723,"base":4},"right_expr":{"type":"numeric_atoms","value":3232,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":1070,"base":4},"right_expr":{"type":"numeric_atoms","value":2336,"base":4}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3855,"base":4},"right_expr":{"type":"numeric_atoms","value":1371,"base":4}}}}},"used_operators":["2Wsdkap16l","Qy55tPpLXF","AYdpE9sXAk","uvdQJvN4PV","t4WUHVGj7f","MahUMFw56D","HnzytWxmAO","JwTKLfZU96","xD69zh8xqp","xRrnTEsQ6j","Uaa54Peajs","U7g4x0WXJJ"],"dependent_operators":["rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","NTOWxs364D","EBcxylXtPf","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","NTOWxs364D","2DDjHMKMc0","xUOZtlo3hN","g55IO6H4Gj","3ViojmjbAp","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","FU0Cs4j7VP","JclMnS0uGI","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"⪩⨒∯-1312","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":4},{"info":"number node, value=5857","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=5857, 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 = AYdpE9sXAk, unary_op_definition = '⨂⪏⇭a = { (a⨰((85⩚⊴⇥a)⫌⩹⨱)) }', output=-6433","layer":2},{"info":"number node, value=2783","layer":4},{"info":"compute unary expreesion, input=2783, op_id = MahUMFw56D, unary_op_definition = 'a≚⋢ = { (a⨓86) }', output=-89","layer":3},{"info":"compute unary expreesion, input=-89, op_id = t4WUHVGj7f, unary_op_definition = 'a⫭ = { (⨞⊢((a⨸⪁147)⩚⊴⇥(a⋝⋈⪟a))) }', output=-26","layer":2},{"info":"compute binary expreesion, left_input=-6433, right_input=-26, 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=1723","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=1723, right_input=3232, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-256262","layer":3},{"info":"number node, value=1070","layer":4},{"info":"number node, value=2336","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=2336, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-1266","layer":3},{"info":"compute binary expreesion, left_input=-256262, right_input=-1266, op_id = JwTKLfZU96 binary_op_definition= 'a↳≱b = { (((a∪⫐104)↢(147/b))⋓((+⊝⨔b)⪹)) }', output=0","layer":2},{"info":"number node, value=3855","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=3855, right_input=1371, 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 = 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=0, right_input=nan, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=-116","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-116, 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=-118","layer":0}],"base":4,"result_base":4,"text":"(⨂⪏⇭(⪩⨒∯102211⩺⪪⪩⨒∯1123201))⋥≓≎((⪩⨒∯223133≚⋢)⫭)⩹(⪩⨒∯122323⪪⪩⨒∯302200)↳≱(⪩⨒∯100232⫁⪎⪩⨒∯210200)⇴∐(∂(⪩⨒∯330033∑⇟⊟⪩⨒∯111123))=⪩⨒∯-1312","reverse_text":"⪩⨒∯-1312=(⨂⪏⇭(⪩⨒∯102211⩺⪪⪩⨒∯1123201))⋥≓≎((⪩⨒∯223133≚⋢)⫭)⩹(⪩⨒∯122323⪪⪩⨒∯302200)↳≱(⪩⨒∯100232⫁⪎⪩⨒∯210200)⇴∐(∂(⪩⨒∯330033∑⇟⊟⪩⨒∯111123))","cot":[{"info":"⪩⨒∯102211⩺⪪⪩⨒∯1123201=⪩⨒∯-130122","layer":3},{"info":"⨂⪏⇭⪩⨒∯-130122=⪩⨒∯-1210201","layer":2},{"info":"⪩⨒∯223133≚⋢=⪩⨒∯-1121","layer":3},{"info":"⪩⨒∯-1121⫭=⪩⨒∯-122","layer":2},{"info":"⪩⨒∯-1210201⋥≓≎⪩⨒∯-122=⪩⨒∯1003","layer":1},{"info":"⪩⨒∯122323⪪⪩⨒∯302200=⪩⨒∯-332210012","layer":3},{"info":"⪩⨒∯100232⫁⪎⪩⨒∯210200=⪩⨒∯-103302","layer":3},{"info":"⪩⨒∯-332210012↳≱⪩⨒∯-103302=⪩⨒∯0","layer":2},{"info":"⪩⨒∯330033∑⇟⊟⪩⨒∯111123=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⪩⨒∯0⇴∐NaN=⪩⨒∯-1310","layer":1},{"info":"⪩⨒∯1003⩹⪩⨒∯-1310=⪩⨒∯-1312","layer":0}]}
{"id":932,"expression_no_base_symbol":"(⪫⨮⊛((≇⪴$2250$)⪭($1706$⨒$6027$)))↹⊜(⫛⫱⨽($7835$⫚↹⊑$3822$))⨜⨶(($1446$⩨$2947$)⪶≀⋏($1887$⪛⫼$6896$))","expression":"(⪫⨮⊛((≇⪴⪩⨒∯203022)⪭(⪩⨒∯122222⨒⪩⨒∯1132023)))↹⊜(⫛⫱⨽(⪩⨒∯1322123⫚↹⊑⪩⨒∯323232))⨜⨶((⪩⨒∯112212⩨⪩⨒∯232003)⪶≀⋏(⪩⨒∯131133⪛⫼⪩⨒∯1223300))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3170509,"operation_count":11,"complexity_ratio":288228.0909090909,"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":2250,"base":4}},"right_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":1706,"base":4},"right_expr":{"type":"numeric_atoms","value":6027,"base":4}}}},"right_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":7835,"base":4},"right_expr":{"type":"numeric_atoms","value":3822,"base":4}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1446,"base":4},"right_expr":{"type":"numeric_atoms","value":2947,"base":4}},"right_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1887,"base":4},"right_expr":{"type":"numeric_atoms","value":6896,"base":4}}}}},"used_operators":["9bazX3JMtO","w5FWba1tyO","j9kHMeSvPp","zoVPnxeHJ3","y75s1iXyHd","HiPekx5b7W","DlLNRPXxWL","dfKe02y8D2","zR4jO40bMj","2DlMacCsIx","hyuBjUqXlG"],"dependent_operators":["9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","s3Fd5m9Dh2","RZ5CV9rWsJ","SUmda5xLS4","kn8WO9XteQ","hTbEZDJLEm","Tw270M8GLb","COABgblf1C","xUOZtlo3hN","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","rGHVDoGpnC","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2250","layer":4},{"info":"compute unary expreesion, input=2250, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-5410","layer":3},{"info":"number node, value=1706","layer":4},{"info":"number node, value=6027","layer":4},{"info":"compute binary expreesion, left_input=1706, right_input=6027, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-9864","layer":3},{"info":"compute binary expreesion, left_input=-5410, right_input=-9864, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5236","layer":2},{"info":"compute unary expreesion, input=5236, 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=7835","layer":4},{"info":"number node, value=3822","layer":4},{"info":"compute binary expreesion, left_input=7835, right_input=3822, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute unary expreesion, input=-447, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1446","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=2947, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1887","layer":4},{"info":"number node, value=6896","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=6896, 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=-6, right_input=968, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=7744","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7744, 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=-15232","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-15232, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪫⨮⊛((≇⪴⪩⨒∯203022)⪭(⪩⨒∯122222⨒⪩⨒∯1132023)))↹⊜(⫛⫱⨽(⪩⨒∯1322123⫚↹⊑⪩⨒∯323232))⨜⨶((⪩⨒∯112212⩨⪩⨒∯232003)⪶≀⋏(⪩⨒∯131133⪛⫼⪩⨒∯1223300))=NaN","reverse_text":"NaN=(⪫⨮⊛((≇⪴⪩⨒∯203022)⪭(⪩⨒∯122222⨒⪩⨒∯1132023)))↹⊜(⫛⫱⨽(⪩⨒∯1322123⫚↹⊑⪩⨒∯323232))⨜⨶((⪩⨒∯112212⩨⪩⨒∯232003)⪶≀⋏(⪩⨒∯131133⪛⫼⪩⨒∯1223300))","cot":[{"info":"≇⪴⪩⨒∯203022=⪩⨒∯-1110202","layer":3},{"info":"⪩⨒∯122222⨒⪩⨒∯1132023=⪩⨒∯-2122020","layer":3},{"info":"⪩⨒∯-1110202⪭⪩⨒∯-2122020=⪩⨒∯1101310","layer":2},{"info":"⪫⨮⊛⪩⨒∯1101310=NaN","layer":1},{"info":"⪩⨒∯1322123⫚↹⊑⪩⨒∯323232=⪩⨒∯-12333","layer":3},{"info":"⫛⫱⨽⪩⨒∯-12333=⪩⨒∯0","layer":2},{"info":"⪩⨒∯112212⩨⪩⨒∯232003=⪩⨒∯-12","layer":3},{"info":"⪩⨒∯131133⪛⫼⪩⨒∯1223300=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯-12⪶≀⋏⪩⨒∯33020=⪩⨒∯1321000","layer":2},{"info":"⪩⨒∯0⨜⨶⪩⨒∯1321000=⪩⨒∯-3232000","layer":1},{"info":"NaN↹⊜⪩⨒∯-3232000=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"(∮(↥≼⋛(⩦⊞$6460$)))∝($1238$⨟⋌⩍$5620$)∘($3440$⨑≵⋬$1451$)⩧⪆($3716$⫸⇳$1449$)⊔($4481$⩚⊴⇥$3175$)","expression":"(∮(↥≼⋛(⩦⊞⪩⨒∯1210330)))∝(⪩⨒∯103112⨟⋌⩍⪩⨒∯1113310)∘(⪩⨒∯311300⨑≵⋬⪩⨒∯112223)⩧⪆(⪩⨒∯322010⫸⇳⪩⨒∯112221)⊔(⪩⨒∯1012001⩚⊴⇥⪩⨒∯301213)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":583,"operation_count":11,"complexity_ratio":53.0,"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":6460,"base":4}}}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1238,"base":4},"right_expr":{"type":"numeric_atoms","value":5620,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":3440,"base":4},"right_expr":{"type":"numeric_atoms","value":1451,"base":4}}},"right_expr":{"type":"binary","operator":"⊔","left_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":3716,"base":4},"right_expr":{"type":"numeric_atoms","value":1449,"base":4}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4481,"base":4},"right_expr":{"type":"numeric_atoms","value":3175,"base":4}}}}},"used_operators":["cTDWOvIxvz","CqXKPLVYql","x5lMkHmzsq","u7fv1HBiaC","Ikt5ks8PT7","Z5m6OM72h2","rGHVDoGpnC","XnXgA4xnOs","E4l6HwMY31","gx7XJ7hdpj","NTOWxs364D"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","eewbuw0ToL","t8gj7n24qd","eH2TOUuTDT","rysDP5nf3Z","Tcnh7f0tEr","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","DpFCA1CohY","Ph9nP6C5qx","f6k1SAg4EE","i8ToyICDmI","QMFrweE19q","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"⪩⨒∯-323220331","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6460","layer":4},{"info":"compute unary expreesion, input=6460, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6187","layer":3},{"info":"compute unary expreesion, input=-6187, op_id = x5lMkHmzsq, unary_op_definition = '↥≼⋛a = { ((a⩤)⋥≓≎(a⨳⩥⨓a)) , if a<111 ; ((a⩷∴285)↺(≤/597)) , else }', output=-6154","layer":2},{"info":"compute unary expreesion, input=-6154, 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=-244290","layer":1},{"info":"number node, value=1238","layer":4},{"info":"number node, value=5620","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=5620, 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=3440","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=3440, right_input=1451, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=8422","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8422, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=nan","layer":2},{"info":"number node, value=3716","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=3716, right_input=1449, 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=4481","layer":4},{"info":"number node, value=3175","layer":4},{"info":"compute binary expreesion, left_input=4481, right_input=3175, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7777","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7777, 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=nan, 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=-244290, right_input=35, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=-244285","layer":0}],"base":4,"result_base":4,"text":"(∮(↥≼⋛(⩦⊞⪩⨒∯1210330)))∝(⪩⨒∯103112⨟⋌⩍⪩⨒∯1113310)∘(⪩⨒∯311300⨑≵⋬⪩⨒∯112223)⩧⪆(⪩⨒∯322010⫸⇳⪩⨒∯112221)⊔(⪩⨒∯1012001⩚⊴⇥⪩⨒∯301213)=⪩⨒∯-323220331","reverse_text":"⪩⨒∯-323220331=(∮(↥≼⋛(⩦⊞⪩⨒∯1210330)))∝(⪩⨒∯103112⨟⋌⩍⪩⨒∯1113310)∘(⪩⨒∯311300⨑≵⋬⪩⨒∯112223)⩧⪆(⪩⨒∯322010⫸⇳⪩⨒∯112221)⊔(⪩⨒∯1012001⩚⊴⇥⪩⨒∯301213)","cot":[{"info":"⩦⊞⪩⨒∯1210330=⪩⨒∯-1200223","layer":3},{"info":"↥≼⋛⪩⨒∯-1200223=⪩⨒∯-1200022","layer":2},{"info":"∮⪩⨒∯-1200022=⪩⨒∯-323221002","layer":1},{"info":"⪩⨒∯103112⨟⋌⩍⪩⨒∯1113310=NaN","layer":3},{"info":"⪩⨒∯311300⨑≵⋬⪩⨒∯112223=⪩⨒∯2003212","layer":3},{"info":"NaN∘⪩⨒∯2003212=NaN","layer":2},{"info":"⪩⨒∯322010⫸⇳⪩⨒∯112221=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1012001⩚⊴⇥⪩⨒∯301213=⪩⨒∯-1321201","layer":3},{"info":"⪩⨒∯0⊔⪩⨒∯-1321201=⪩⨒∯-203","layer":2},{"info":"NaN⩧⪆⪩⨒∯-203=⪩⨒∯203","layer":1},{"info":"⪩⨒∯-323221002∝⪩⨒∯203=⪩⨒∯-323220331","layer":0}]}
{"id":934,"expression_no_base_symbol":"((($6336$⩹$3669$)∷($1303$%$3114$))≠≀($6515$⪭$5453$)∣(↨$3301$))∩⋅","expression":"(((⪩⨒∯1203000⩹⪩⨒∯321111)∷(⪩⨒∯110113%⪩⨒∯300222))≠≀(⪩⨒∯1211303⪭⪩⨒∯1111031)∣(↨⪩⨒∯303211))∩⋅","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":195,"operation_count":8,"complexity_ratio":24.375,"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":6336,"base":4},"right_expr":{"type":"numeric_atoms","value":3669,"base":4}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1303,"base":4},"right_expr":{"type":"numeric_atoms","value":3114,"base":4}}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"numeric_atoms","value":6515,"base":4},"right_expr":{"type":"numeric_atoms","value":5453,"base":4}},"right_expr":{"type":"unary","operator":"↨","unary_expr":{"type":"numeric_atoms","value":3301,"base":4}}}}},"used_operators":["2MzE1hQ0cz","IwW236VD4Y","D3AQDKkPcf","2Wsdkap16l","k8jYdgA6NY","PPChnnnBFF","j9kHMeSvPp","jiX4gk2v2Q"],"dependent_operators":["Qy55tPpLXF","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","9FxExcQeMw","NTOWxs364D","7j4O788W3g","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","rysDP5nf3Z","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","COABgblf1C","xUOZtlo3hN","rGHVDoGpnC","oZj3VtZNQx"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6336","layer":4},{"info":"number node, value=3669","layer":4},{"info":"compute binary expreesion, left_input=6336, right_input=3669, 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=3667","layer":3},{"info":"number node, value=1303","layer":4},{"info":"number node, value=3114","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=3114, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1303","layer":3},{"info":"compute binary expreesion, left_input=3667, right_input=1303, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', output=1303","layer":2},{"info":"number node, value=6515","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=6515, right_input=5453, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":3},{"info":"number node, value=3301","layer":4},{"info":"compute unary expreesion, input=3301, op_id = jiX4gk2v2Q, unary_op_definition = '↨a = { ((203≀⫉a)⨟⋌⩍a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=5","layer":2},{"info":"compute binary expreesion, left_input=1303, right_input=5, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-1429","layer":1},{"info":"compute unary expreesion, input=-1429, op_id = 2MzE1hQ0cz, unary_op_definition = 'a∩⋅ = { (a⋥≓≎44) }', output=67","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1203000⩹⪩⨒∯321111)∷(⪩⨒∯110113%⪩⨒∯300222))≠≀(⪩⨒∯1211303⪭⪩⨒∯1111031)∣(↨⪩⨒∯303211))∩⋅=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=(((⪩⨒∯1203000⩹⪩⨒∯321111)∷(⪩⨒∯110113%⪩⨒∯300222))≠≀(⪩⨒∯1211303⪭⪩⨒∯1111031)∣(↨⪩⨒∯303211))∩⋅","cot":[{"info":"⪩⨒∯1203000⩹⪩⨒∯321111=⪩⨒∯321103","layer":3},{"info":"⪩⨒∯110113%⪩⨒∯300222=⪩⨒∯110113","layer":3},{"info":"⪩⨒∯321103∷⪩⨒∯110113=⪩⨒∯110113","layer":2},{"info":"⪩⨒∯1211303⪭⪩⨒∯1111031=⪩⨒∯11","layer":3},{"info":"↨⪩⨒∯303211=NaN","layer":3},{"info":"⪩⨒∯11∣NaN=⪩⨒∯11","layer":2},{"info":"⪩⨒∯110113≠≀⪩⨒∯11=⪩⨒∯-112111","layer":1},{"info":"⪩⨒∯-112111∩⋅=⪩⨒∯1003","layer":0}]}
{"id":935,"expression_no_base_symbol":"(($3282$∟)⪔($1441$⋳⪒$5442$)⨽$6893$⪒⊣⊆$2121$⊲⩕⊾($1866$⩺⪪$2421$))⪛⫼($1668$/$4613$)⊉↱≁$3951$↳≱$6946$⫥∨⫟($3518$⨐⩸⫘$1730$)↢(⇐$3685$)","expression":"((⪩⨒∯303102∟)⪔(⪩⨒∯112201⋳⪒⪩⨒∯1111002)⨽⪩⨒∯1223231⪒⊣⊆⪩⨒∯201021⊲⩕⊾(⪩⨒∯131022⩺⪪⪩⨒∯211311))⪛⫼(⪩⨒∯122010/⪩⨒∯1020011)⊉↱≁⪩⨒∯331233↳≱⪩⨒∯1230202⫥∨⫟(⪩⨒∯312332⨐⩸⫘⪩⨒∯123002)↢(⇐⪩⨒∯321211)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5569,"operation_count":15,"complexity_ratio":371.26666666666665,"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":3282,"base":4}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1441,"base":4},"right_expr":{"type":"numeric_atoms","value":5442,"base":4}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":6893,"base":4},"right_expr":{"type":"numeric_atoms","value":2121,"base":4}},"right_expr":{"type":"binary","operator":"⩺⪪","left_expr":{"type":"numeric_atoms","value":1866,"base":4},"right_expr":{"type":"numeric_atoms","value":2421,"base":4}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉↱≁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1668,"base":4},"right_expr":{"type":"numeric_atoms","value":4613,"base":4}},"right_expr":{"type":"binary","operator":"↳≱","left_expr":{"type":"numeric_atoms","value":3951,"base":4},"right_expr":{"type":"numeric_atoms","value":6946,"base":4}}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3518,"base":4},"right_expr":{"type":"numeric_atoms","value":1730,"base":4}},"right_expr":{"type":"unary","operator":"⇐","unary_expr":{"type":"numeric_atoms","value":3685,"base":4}}}}},"used_operators":["hyuBjUqXlG","8HhzD0ZcuI","GjBEYRfMaF","hTbEZDJLEm","12rbrZMWeM","DmTXOeWf9t","eRqsBgTDFp","uvdQJvN4PV","KYD54nUTWz","w2P8NbNXyL","XhwjNDsVaA","JwTKLfZU96","WR6HLWljOP","fu6greOZ01","nmZMaaE0Q9"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","YjI8oCXuph","8INZBEW696","dWAJyo7jo9","nREPSIbpBE","2DDjHMKMc0","IWmyXbctLI","PoHhknlbAi","KPf6cnQVty","zVYPLywUTj","AFVx7xoS7T","rysDP5nf3Z","t8gj7n24qd","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","rysDP5nf3Z","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","3ViojmjbAp","23Mk6UjR3U","ocnLzx9CaJ","SWo3A1KBJH","nREPSIbpBE","k8jYdgA6NY","u6S6b8DprG"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = hTbEZDJLEm, unary_op_definition = 'a∟ = { ((58∺≝⩲a)⇌⫙⪟(a⊪)) }', output=113","layer":3},{"info":"number node, value=1441","layer":4},{"info":"number node, value=5442","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=5442, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2847","layer":3},{"info":"compute binary expreesion, left_input=113, right_input=-2847, op_id = GjBEYRfMaF binary_op_definition= 'a⪔b = { (((⫇a)∓⋝(61⪢b))⪮%⊝((b⋝⋈⪟b)⨚(a≀⩗∶a))) }', output=450","layer":2},{"info":"number node, value=6893","layer":4},{"info":"number node, value=2121","layer":4},{"info":"compute binary expreesion, left_input=6893, right_input=2121, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=13786","layer":3},{"info":"number node, value=1866","layer":4},{"info":"number node, value=2421","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=2421, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":3},{"info":"compute binary expreesion, left_input=13786, right_input=-1818, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-175686","layer":2},{"info":"compute binary expreesion, left_input=450, right_input=-175686, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-79128","layer":1},{"info":"number node, value=1668","layer":4},{"info":"number node, value=4613","layer":4},{"info":"compute binary expreesion, left_input=1668, right_input=4613, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=3951","layer":4},{"info":"number node, value=6946","layer":4},{"info":"compute binary expreesion, left_input=3951, right_input=6946, 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 = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-52","layer":2},{"info":"number node, value=3518","layer":4},{"info":"number node, value=1730","layer":4},{"info":"compute binary expreesion, left_input=3518, right_input=1730, 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=3685","layer":4},{"info":"compute unary expreesion, input=3685, op_id = nmZMaaE0Q9, unary_op_definition = '⇐a = { (((⇋↷a)⋷(a⩼⇪↪a))%(↽≂(a⨚a))) }', output=9336","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9336, 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=-52, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-79128, 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":0}],"base":4,"result_base":4,"text":"((⪩⨒∯303102∟)⪔(⪩⨒∯112201⋳⪒⪩⨒∯1111002)⨽⪩⨒∯1223231⪒⊣⊆⪩⨒∯201021⊲⩕⊾(⪩⨒∯131022⩺⪪⪩⨒∯211311))⪛⫼(⪩⨒∯122010/⪩⨒∯1020011)⊉↱≁⪩⨒∯331233↳≱⪩⨒∯1230202⫥∨⫟(⪩⨒∯312332⨐⩸⫘⪩⨒∯123002)↢(⇐⪩⨒∯321211)=NaN","reverse_text":"NaN=((⪩⨒∯303102∟)⪔(⪩⨒∯112201⋳⪒⪩⨒∯1111002)⨽⪩⨒∯1223231⪒⊣⊆⪩⨒∯201021⊲⩕⊾(⪩⨒∯131022⩺⪪⪩⨒∯211311))⪛⫼(⪩⨒∯122010/⪩⨒∯1020011)⊉↱≁⪩⨒∯331233↳≱⪩⨒∯1230202⫥∨⫟(⪩⨒∯312332⨐⩸⫘⪩⨒∯123002)↢(⇐⪩⨒∯321211)","cot":[{"info":"⪩⨒∯303102∟=⪩⨒∯1301","layer":3},{"info":"⪩⨒∯112201⋳⪒⪩⨒∯1111002=⪩⨒∯-230133","layer":3},{"info":"⪩⨒∯1301⪔⪩⨒∯-230133=⪩⨒∯13002","layer":2},{"info":"⪩⨒∯1223231⪒⊣⊆⪩⨒∯201021=⪩⨒∯3113122","layer":3},{"info":"⪩⨒∯131022⩺⪪⪩⨒∯211311=⪩⨒∯-130122","layer":3},{"info":"⪩⨒∯3113122⊲⩕⊾⪩⨒∯-130122=⪩⨒∯-222321012","layer":2},{"info":"⪩⨒∯13002⨽⪩⨒∯-222321012=⪩⨒∯-103110120","layer":1},{"info":"⪩⨒∯122010/⪩⨒∯1020011=⪩⨒∯0","layer":3},{"info":"⪩⨒∯331233↳≱⪩⨒∯1230202=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⊉↱≁⪩⨒∯0=⪩⨒∯-310","layer":2},{"info":"⪩⨒∯312332⨐⩸⫘⪩⨒∯123002=NaN","layer":3},{"info":"⇐⪩⨒∯321211=⪩⨒∯2101320","layer":3},{"info":"NaN↢⪩⨒∯2101320=NaN","layer":2},{"info":"⪩⨒∯-310⫥∨⫟NaN=NaN","layer":1},{"info":"⪩⨒∯-103110120⪛⫼NaN=NaN","layer":0}]}
{"id":936,"expression_no_base_symbol":"⇜⊴($1173$≁↽≥$5934$↡⊰⫅$4683$⫣⪄⊒$4658$∕⩚(⇺⋃$1025$)⫁($3915$⊢))","expression":"⇜⊴(⪩⨒∯102111≁↽≥⪩⨒∯1130232↡⊰⫅⪩⨒∯1021023⫣⪄⊒⪩⨒∯1020302∕⩚(⇺⋃⪩⨒∯100001)⫁(⪩⨒∯331023⊢))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1139461,"operation_count":8,"complexity_ratio":142432.625,"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":1173,"base":4},"right_expr":{"type":"numeric_atoms","value":5934,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":4683,"base":4},"right_expr":{"type":"numeric_atoms","value":4658,"base":4}}},"right_expr":{"type":"binary","operator":"⫁","left_expr":{"type":"unary","operator":"⇺⋃","unary_expr":{"type":"numeric_atoms","value":1025,"base":4}},"right_expr":{"type":"unary","operator":"⊢","unary_expr":{"type":"numeric_atoms","value":3915,"base":4}}}}},"used_operators":["XwDhCwWbUn","z9ffQ9n5Zr","VCtxkLNOzz","ncHt1X6cMc","RabNbG55vr","0ajvFaJAv0","E5v5B3UAjG","40aOVDgCDB"],"dependent_operators":["WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","3ViojmjbAp","nlCqmYiOvY","1h0rLqGiFr","Ph9nP6C5qx","xRrnTEsQ6j","mp7IySMOzn","oWn0xqSxBt","3Oe9XWJUTD","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","cHh1gJQ2o6","AHs5Up7iyr","bl5wxAcryP","Q3PJZHRvZv","gub5Cegaqo","8INZBEW696","kuIXHzHcAH","7YooWSwCyH","NTOWxs364D"],"result":"⪩⨒∯221323232","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":4},{"info":"number node, value=5934","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=5934, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=27527","layer":3},{"info":"number node, value=4683","layer":4},{"info":"number node, value=4658","layer":4},{"info":"compute binary expreesion, left_input=4683, right_input=4658, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-19094","layer":3},{"info":"compute binary expreesion, left_input=27527, right_input=-19094, 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=1025","layer":4},{"info":"compute unary expreesion, input=1025, op_id = E5v5B3UAjG, unary_op_definition = '⇺⋃a = { (((a≀⩗∶a)∪⫐(a⩁⩘229))⪨⊡(⊥(a↰))) }', output=4497","layer":3},{"info":"number node, value=3915","layer":4},{"info":"compute unary expreesion, input=3915, op_id = 40aOVDgCDB, unary_op_definition = 'a⊢ = { a , if a<=675 ; (a⩚⊴⇥126) , else }', output=-4162","layer":3},{"info":"compute binary expreesion, left_input=4497, right_input=-4162, 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 = 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 = XwDhCwWbUn, unary_op_definition = '⇜⊴a = { (↩(∓⪦(a≃a))) , if ((a∐⫣)>271 and (a∴779)<=132) ; ((a↢(a⨔⇊a))⊲⩕⊾((a∝a)⊉↱≁(a⊭↱19))) , else }', output=171758","layer":0}],"base":4,"result_base":4,"text":"⇜⊴(⪩⨒∯102111≁↽≥⪩⨒∯1130232↡⊰⫅⪩⨒∯1021023⫣⪄⊒⪩⨒∯1020302∕⩚(⇺⋃⪩⨒∯100001)⫁(⪩⨒∯331023⊢))=⪩⨒∯221323232","reverse_text":"⪩⨒∯221323232=⇜⊴(⪩⨒∯102111≁↽≥⪩⨒∯1130232↡⊰⫅⪩⨒∯1021023⫣⪄⊒⪩⨒∯1020302∕⩚(⇺⋃⪩⨒∯100001)⫁(⪩⨒∯331023⊢))","cot":[{"info":"⪩⨒∯102111≁↽≥⪩⨒∯1130232=⪩⨒∯12232013","layer":3},{"info":"⪩⨒∯1021023⫣⪄⊒⪩⨒∯1020302=⪩⨒∯-10222112","layer":3},{"info":"⪩⨒∯12232013↡⊰⫅⪩⨒∯-10222112=NaN","layer":2},{"info":"⇺⋃⪩⨒∯100001=⪩⨒∯1012101","layer":3},{"info":"⪩⨒∯331023⊢=⪩⨒∯-1001002","layer":3},{"info":"⪩⨒∯1012101⫁⪩⨒∯-1001002=⪩⨒∯2200","layer":2},{"info":"NaN∕⩚⪩⨒∯2200=⪩⨒∯-13213","layer":1},{"info":"⇜⊴⪩⨒∯-13213=⪩⨒∯221323232","layer":0}]}
{"id":937,"expression_no_base_symbol":"⨰⫟⨤(($1565$⋐⇩⊬)⋅⇍$2593$∓⋝$5049$)≹⇙⪍(↞≼($2288$⨲))","expression":"⨰⫟⨤((⪩⨒∯120131⋐⇩⊬)⋅⇍⪩⨒∯220201∓⋝⪩⨒∯1032321)≹⇙⪍(↞≼(⪩⨒∯203300⨲))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":345687,"operation_count":7,"complexity_ratio":49383.857142857145,"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":1565,"base":4}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2593,"base":4},"right_expr":{"type":"numeric_atoms","value":5049,"base":4}}},"right_expr":{"type":"unary","operator":"↞≼","unary_expr":{"type":"unary","operator":"⨲","unary_expr":{"type":"numeric_atoms","value":2288,"base":4}}}}},"used_operators":["Tw270M8GLb","AHs5Up7iyr","AdZkA7nFnk","JuuLT1NoCs","PoHhknlbAi","DE7zCoGJt9","nLYMGWM7L8"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","W4YGzv6Whe","D4vGDi5EA2","23Mk6UjR3U","BjRHVeLaeN","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","u6S6b8DprG","DlLNRPXxWL","WR6HLWljOP","48vC8HMD2b","SUmda5xLS4","wicAB68Tmb","hrf7POJlIJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=1565","layer":3},{"info":"number node, value=2593","layer":4},{"info":"number node, value=5049","layer":4},{"info":"compute binary expreesion, left_input=2593, right_input=5049, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute binary expreesion, left_input=1565, right_input=67, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":2},{"info":"number node, value=2288","layer":4},{"info":"compute unary expreesion, input=2288, op_id = nLYMGWM7L8, unary_op_definition = 'a⨲ = { ((a↢a)∴(118⪝a)) , if a==152 ; ((a⪄a)⫘(⫛⫱⨽a)) , else }', output=404389645","layer":3},{"info":"compute unary expreesion, input=404389645, op_id = DE7zCoGJt9, unary_op_definition = '↞≼a = { (↽≂(197⨰(a⨸⪁a))) , if (a⨸⪁373)!=224 ; (((591⋷a)≧⫂∧(a+a))⨸⪁((a⫩⊇)≦≮≮)) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=inf, 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 unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⨰⫟⨤((⪩⨒∯120131⋐⇩⊬)⋅⇍⪩⨒∯220201∓⋝⪩⨒∯1032321)≹⇙⪍(↞≼(⪩⨒∯203300⨲))=NaN","reverse_text":"NaN=⨰⫟⨤((⪩⨒∯120131⋐⇩⊬)⋅⇍⪩⨒∯220201∓⋝⪩⨒∯1032321)≹⇙⪍(↞≼(⪩⨒∯203300⨲))","cot":[{"info":"⪩⨒∯120131⋐⇩⊬=⪩⨒∯120131","layer":3},{"info":"⪩⨒∯220201∓⋝⪩⨒∯1032321=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯120131⋅⇍⪩⨒∯1003=⪩⨒∯-112","layer":2},{"info":"⪩⨒∯203300⨲=⪩⨒∯120012213330031","layer":3},{"info":"↞≼⪩⨒∯120012213330031=Inf","layer":2},{"info":"⪩⨒∯-112≹⇙⪍Inf=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":938,"expression_no_base_symbol":"(⫯(⇉-⫰($2061$-$5243$)))⩁⩘(($1218$⋛$5189$⇷($1508$⫸⇳$2229$))⪭(⊬↢($1363$⨼⩣$3259$)))","expression":"(⫯(⇉-⫰(⪩⨒∯200031-⪩⨒∯1101323)))⩁⩘((⪩⨒∯103002⋛⪩⨒∯1101011⇷(⪩⨒∯113210⫸⇳⪩⨒∯202311))⪭(⊬↢(⪩⨒∯111103⨼⩣⪩⨒∯302323)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1697997,"operation_count":10,"complexity_ratio":169799.7,"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":2061,"base":4},"right_expr":{"type":"numeric_atoms","value":5243,"base":4}}}},"right_expr":{"type":"binary","operator":"⪭","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":1218,"base":4},"right_expr":{"type":"numeric_atoms","value":5189,"base":4}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1508,"base":4},"right_expr":{"type":"numeric_atoms","value":2229,"base":4}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":1363,"base":4},"right_expr":{"type":"numeric_atoms","value":3259,"base":4}}}}},"used_operators":["gub5Cegaqo","H6BK1Evt7c","IGFM8TAlm9","rysDP5nf3Z","j9kHMeSvPp","mp7IySMOzn","YbUVn0Rbpy","gx7XJ7hdpj","WPoGxAaPR1","JxwMv5le6e"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","eH2TOUuTDT","eewbuw0ToL","COABgblf1C","xUOZtlo3hN","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE"],"result":"⪩⨒∯3330","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2061","layer":4},{"info":"number node, value=5243","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=5243, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3182","layer":3},{"info":"compute unary expreesion, input=-3182, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":2},{"info":"compute unary expreesion, input=20, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=13432","layer":1},{"info":"number node, value=1218","layer":4},{"info":"number node, value=5189","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=5189, 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=-121230","layer":3},{"info":"number node, value=1508","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=2229, 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=-121230, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"number node, value=1363","layer":4},{"info":"number node, value=3259","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=3259, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=-174","layer":1},{"info":"compute binary expreesion, left_input=13432, right_input=-174, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=252","layer":0}],"base":4,"result_base":4,"text":"(⫯(⇉-⫰(⪩⨒∯200031-⪩⨒∯1101323)))⩁⩘((⪩⨒∯103002⋛⪩⨒∯1101011⇷(⪩⨒∯113210⫸⇳⪩⨒∯202311))⪭(⊬↢(⪩⨒∯111103⨼⩣⪩⨒∯302323)))=⪩⨒∯3330","reverse_text":"⪩⨒∯3330=(⫯(⇉-⫰(⪩⨒∯200031-⪩⨒∯1101323)))⩁⩘((⪩⨒∯103002⋛⪩⨒∯1101011⇷(⪩⨒∯113210⫸⇳⪩⨒∯202311))⪭(⊬↢(⪩⨒∯111103⨼⩣⪩⨒∯302323)))","cot":[{"info":"⪩⨒∯200031-⪩⨒∯1101323=⪩⨒∯-301232","layer":3},{"info":"⇉-⫰⪩⨒∯-301232=⪩⨒∯110","layer":2},{"info":"⫯⪩⨒∯110=⪩⨒∯3101320","layer":1},{"info":"⪩⨒∯103002⋛⪩⨒∯1101011=⪩⨒∯-131212032","layer":3},{"info":"⪩⨒∯113210⫸⇳⪩⨒∯202311=⪩⨒∯0","layer":3},{"info":"⪩⨒∯-131212032⇷⪩⨒∯0=⪩⨒∯0","layer":2},{"info":"⪩⨒∯111103⨼⩣⪩⨒∯302323=NaN","layer":3},{"info":"⊬↢NaN=NaN","layer":2},{"info":"⪩⨒∯0⪭NaN=⪩⨒∯-2232","layer":1},{"info":"⪩⨒∯3101320⩁⩘⪩⨒∯-2232=⪩⨒∯3330","layer":0}]}
{"id":939,"expression_no_base_symbol":"($1055$⇡⇂$1652$≥⨤⩑(↔$6092$)⪁($1177$⫦⪉$2524$)≬⇓$1148$⫰⋱$3878$)≀⩗∶($1330$⪢$1278$⨻⩈⩔(↴⪽⋼$1872$)⪨≂(($4634$⨥⫆$3692$)⇚⪠))","expression":"(⪩⨒∯100133⇡⇂⪩⨒∯121310≥⨤⩑(↔⪩⨒∯1133030)⪁(⪩⨒∯102121⫦⪉⪩⨒∯213130)≬⇓⪩⨒∯101330⫰⋱⪩⨒∯330212)≀⩗∶(⪩⨒∯110302⪢⪩⨒∯103332⨻⩈⩔(↴⪽⋼⪩⨒∯131100)⪨≂((⪩⨒∯1020122⨥⫆⪩⨒∯321230)⇚⪠))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":101628,"operation_count":14,"complexity_ratio":7259.142857142857,"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":1055,"base":4},"right_expr":{"type":"numeric_atoms","value":1652,"base":4}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":6092,"base":4}}},"right_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"numeric_atoms","value":1177,"base":4},"right_expr":{"type":"numeric_atoms","value":2524,"base":4}},"right_expr":{"type":"binary","operator":"⫰⋱","left_expr":{"type":"numeric_atoms","value":1148,"base":4},"right_expr":{"type":"numeric_atoms","value":3878,"base":4}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1330,"base":4},"right_expr":{"type":"numeric_atoms","value":1278,"base":4}},"right_expr":{"type":"unary","operator":"↴⪽⋼","unary_expr":{"type":"numeric_atoms","value":1872,"base":4}}},"right_expr":{"type":"unary","operator":"⇚⪠","unary_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"numeric_atoms","value":4634,"base":4},"right_expr":{"type":"numeric_atoms","value":3692,"base":4}}}}},"used_operators":["8INZBEW696","I7sXao9hZE","gJLn6v0xnP","UMwdvZNt44","ruOEQAzv1W","jWTQ2TZYIH","wscyQdcy20","6o9Blt3TJ6","sdazOOVcIp","nEsXyWgiOK","dWAJyo7jo9","5TUYCnJO6w","Loh9y4A90B","yXekIHxTD4"],"dependent_operators":["KPf6cnQVty","2DlMacCsIx","l07mrZUIn9","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","9FxExcQeMw","23Mk6UjR3U","z4E1FaHLuy","3tj9sqzovi","fu6greOZ01","AHs5Up7iyr","lvlrscuwVU","KPf6cnQVty","uBihLCJcMX","12rbrZMWeM","WPoGxAaPR1","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","rysDP5nf3Z","t8gj7n24qd","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","k8jYdgA6NY","MGuIdZPyUC","UqFzSgLMvQ","k7HXdKtiEU","yyfyN0ffXY","pRsWfj4Fpp","diKm42VcIt","Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1055","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1652, 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=6092","layer":4},{"info":"compute unary expreesion, input=6092, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5819","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5819, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=nan","layer":2},{"info":"number node, value=1177","layer":4},{"info":"number node, value=2524","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=2524, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=2546","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=3878","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=3878, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=-1115","layer":3},{"info":"compute binary expreesion, left_input=2546, right_input=-1115, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=-3119","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3119, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":1},{"info":"number node, value=1330","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=1278, 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=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = 5TUYCnJO6w, unary_op_definition = '↴⪽⋼a = { a , if ((∡a)<5 or (⇘a)>=19 or (⊲⪭a)==199) ; (((a↙a)⇡)⇉⇉) , else }', output=1872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1872, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=nan","layer":2},{"info":"number node, value=4634","layer":4},{"info":"number node, value=3692","layer":4},{"info":"compute binary expreesion, left_input=4634, right_input=3692, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=7260","layer":3},{"info":"compute unary expreesion, input=7260, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=105415200","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=105415200, 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":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8INZBEW696 binary_op_definition= 'a≀⩗∶b = { (a⩨b) , if (a∺≝⩲555)<251 ; (306↪⪝) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯100133⇡⇂⪩⨒∯121310≥⨤⩑(↔⪩⨒∯1133030)⪁(⪩⨒∯102121⫦⪉⪩⨒∯213130)≬⇓⪩⨒∯101330⫰⋱⪩⨒∯330212)≀⩗∶(⪩⨒∯110302⪢⪩⨒∯103332⨻⩈⩔(↴⪽⋼⪩⨒∯131100)⪨≂((⪩⨒∯1020122⨥⫆⪩⨒∯321230)⇚⪠))=NaN","reverse_text":"NaN=(⪩⨒∯100133⇡⇂⪩⨒∯121310≥⨤⩑(↔⪩⨒∯1133030)⪁(⪩⨒∯102121⫦⪉⪩⨒∯213130)≬⇓⪩⨒∯101330⫰⋱⪩⨒∯330212)≀⩗∶(⪩⨒∯110302⪢⪩⨒∯103332⨻⩈⩔(↴⪽⋼⪩⨒∯131100)⪨≂((⪩⨒∯1020122⨥⫆⪩⨒∯321230)⇚⪠))","cot":[{"info":"⪩⨒∯100133⇡⇂⪩⨒∯121310=NaN","layer":3},{"info":"↔⪩⨒∯1133030=⪩⨒∯-1122323","layer":3},{"info":"NaN≥⨤⩑⪩⨒∯-1122323=NaN","layer":2},{"info":"⪩⨒∯102121⫦⪉⪩⨒∯213130=⪩⨒∯213302","layer":3},{"info":"⪩⨒∯101330⫰⋱⪩⨒∯330212=⪩⨒∯-101123","layer":3},{"info":"⪩⨒∯213302≬⇓⪩⨒∯-101123=⪩⨒∯-300233","layer":2},{"info":"NaN⪁⪩⨒∯-300233=NaN","layer":1},{"info":"⪩⨒∯110302⪢⪩⨒∯103332=NaN","layer":3},{"info":"↴⪽⋼⪩⨒∯131100=⪩⨒∯131100","layer":3},{"info":"NaN⨻⩈⩔⪩⨒∯131100=NaN","layer":2},{"info":"⪩⨒∯1020122⨥⫆⪩⨒∯321230=⪩⨒∯1301130","layer":3},{"info":"⪩⨒∯1301130⇚⪠=⪩⨒∯12102020020200","layer":2},{"info":"NaN⪨≂⪩⨒∯12102020020200=NaN","layer":1},{"info":"NaN≀⩗∶NaN=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"(((↑$1203$)⋐⇩⊬)↹⊜((⊿$1007$)≎⊠⪸(⇜$7605$)))↢((∓$2272$)⪝($2141$⫁⪎$1969$)≹⇙⪍(∨∊⋏($1979$⊉≛↸$3896$)))","expression":"(((↑⪩⨒∯102303)⋐⇩⊬)↹⊜((⊿⪩⨒∯33233)≎⊠⪸(⇜⪩⨒∯1312311)))↢((∓⪩⨒∯203200)⪝(⪩⨒∯201131⫁⪎⪩⨒∯132301)≹⇙⪍(∨∊⋏(⪩⨒∯132323⊉≛↸⪩⨒∯330320)))","highest_n_order":4,"priority_hierarchical_complexity":13,"normalized_expansion_degree":957,"operation_count":13,"complexity_ratio":73.61538461538461,"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":1203,"base":4}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1007,"base":4}},"right_expr":{"type":"unary","operator":"⇜","unary_expr":{"type":"numeric_atoms","value":7605,"base":4}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪝","left_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":2272,"base":4}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"numeric_atoms","value":2141,"base":4},"right_expr":{"type":"numeric_atoms","value":1969,"base":4}}},"right_expr":{"type":"unary","operator":"∨∊⋏","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1979,"base":4},"right_expr":{"type":"numeric_atoms","value":3896,"base":4}}}}},"used_operators":["WR6HLWljOP","9bazX3JMtO","JuuLT1NoCs","tR7O2zTn5j","bJkvcejdHO","DO4fhlbJSI","lFBm8KRb8F","AHs5Up7iyr","wicAB68Tmb","OwUj7dcsQK","xRrnTEsQ6j","R5aXW34M0v","DZ8iAZOCBD"],"dependent_operators":["eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","s3Fd5m9Dh2","DlLNRPXxWL","ZvLB05nZmT","6o9Blt3TJ6","f6k1SAg4EE","1h0rLqGiFr","dWAJyo7jo9","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","L05ObWFQCd","YjI8oCXuph","9ICcGScMcE","g7Hmc5v1ko","ocnLzx9CaJ","2DDjHMKMc0","hrf7POJlIJ","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1203","layer":4},{"info":"compute unary expreesion, input=1203, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":3},{"info":"compute unary expreesion, input=192, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=192","layer":2},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-4766","layer":3},{"info":"number node, value=7605","layer":4},{"info":"compute unary expreesion, input=7605, op_id = lFBm8KRb8F, unary_op_definition = '⇜a = { ((a⫳≱↱a)⊬⨰(a⪒a)) , if a>51 ; ((⩷10)⫰⋱(⫛⫱⨽a)) , else }', output=-61248","layer":3},{"info":"compute binary expreesion, left_input=-4766, right_input=-61248, 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=192, right_input=67, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-632","layer":1},{"info":"number node, value=2272","layer":4},{"info":"compute unary expreesion, input=2272, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-38952","layer":3},{"info":"number node, value=2141","layer":4},{"info":"number node, value=1969","layer":4},{"info":"compute binary expreesion, left_input=2141, right_input=1969, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=172","layer":3},{"info":"compute binary expreesion, left_input=-38952, right_input=172, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-387665","layer":2},{"info":"number node, value=1979","layer":4},{"info":"number node, value=3896","layer":4},{"info":"compute binary expreesion, left_input=1979, right_input=3896, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3958","layer":3},{"info":"compute unary expreesion, input=3958, op_id = R5aXW34M0v, unary_op_definition = '∨∊⋏a = { (((101⋝⋈⪟206)⪍↜⋙(≦∁a))⩼⇪↪((a⩌⋺a)∴(⫇a))) }', output=81791","layer":2},{"info":"compute binary expreesion, left_input=-387665, right_input=81791, 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=-632, 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":0}],"base":4,"result_base":4,"text":"(((↑⪩⨒∯102303)⋐⇩⊬)↹⊜((⊿⪩⨒∯33233)≎⊠⪸(⇜⪩⨒∯1312311)))↢((∓⪩⨒∯203200)⪝(⪩⨒∯201131⫁⪎⪩⨒∯132301)≹⇙⪍(∨∊⋏(⪩⨒∯132323⊉≛↸⪩⨒∯330320)))=NaN","reverse_text":"NaN=(((↑⪩⨒∯102303)⋐⇩⊬)↹⊜((⊿⪩⨒∯33233)≎⊠⪸(⇜⪩⨒∯1312311)))↢((∓⪩⨒∯203200)⪝(⪩⨒∯201131⫁⪎⪩⨒∯132301)≹⇙⪍(∨∊⋏(⪩⨒∯132323⊉≛↸⪩⨒∯330320)))","cot":[{"info":"↑⪩⨒∯102303=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯3000⋐⇩⊬=⪩⨒∯3000","layer":2},{"info":"⊿⪩⨒∯33233=⪩⨒∯-1022132","layer":3},{"info":"⇜⪩⨒∯1312311=⪩⨒∯-32331000","layer":3},{"info":"⪩⨒∯-1022132≎⊠⪸⪩⨒∯-32331000=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯3000↹⊜⪩⨒∯1003=⪩⨒∯-21320","layer":1},{"info":"∓⪩⨒∯203200=⪩⨒∯-21200220","layer":3},{"info":"⪩⨒∯201131⫁⪎⪩⨒∯132301=⪩⨒∯2230","layer":3},{"info":"⪩⨒∯-21200220⪝⪩⨒∯2230=⪩⨒∯-1132221101","layer":2},{"info":"⪩⨒∯132323⊉≛↸⪩⨒∯330320=⪩⨒∯331312","layer":3},{"info":"∨∊⋏⪩⨒∯331312=⪩⨒∯103331333","layer":2},{"info":"⪩⨒∯-1132221101≹⇙⪍⪩⨒∯103331333=NaN","layer":1},{"info":"⪩⨒∯-21320↢NaN=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"($3207$⨫⇇↔$1493$⩇∃⫛$2592$⩍⋽⫝̸$3397$≦≮≮)⪹","expression":"(⪩⨒∯302013⨫⇇↔⪩⨒∯113111⩇∃⫛⪩⨒∯220200⩍⋽⫝̸⪩⨒∯311011≦≮≮)⪹","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":48,"operation_count":5,"complexity_ratio":9.6,"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":3207,"base":4},"right_expr":{"type":"numeric_atoms","value":1493,"base":4}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2592,"base":4},"right_expr":{"type":"numeric_atoms","value":3397,"base":4}}}}},"used_operators":["B3sABdIn96","D4vGDi5EA2","1aApVXNlOP","LXhwmt4mBO","BiWNJpBvwn"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Ph9nP6C5qx","xUOZtlo3hN"],"result":"⪩⨒∯1313212","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3207","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=3207, right_input=1493, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=2592","layer":4},{"info":"number node, value=3397","layer":4},{"info":"compute binary expreesion, left_input=2592, right_input=3397, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2451","layer":3},{"info":"compute binary expreesion, left_input=-527, right_input=2451, 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=-527","layer":2},{"info":"compute unary expreesion, input=-527, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=1581","layer":1},{"info":"compute unary expreesion, input=1581, op_id = B3sABdIn96, unary_op_definition = 'a⪹ = { ((402⫡⨏a)⩷∴(≉a)) }', output=7654","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯302013⨫⇇↔⪩⨒∯113111⩇∃⫛⪩⨒∯220200⩍⋽⫝̸⪩⨒∯311011≦≮≮)⪹=⪩⨒∯1313212","reverse_text":"⪩⨒∯1313212=(⪩⨒∯302013⨫⇇↔⪩⨒∯113111⩇∃⫛⪩⨒∯220200⩍⋽⫝̸⪩⨒∯311011≦≮≮)⪹","cot":[{"info":"⪩⨒∯302013⨫⇇↔⪩⨒∯113111=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯220200⩍⋽⫝̸⪩⨒∯311011=⪩⨒∯212103","layer":3},{"info":"⪩⨒∯-20033⩇∃⫛⪩⨒∯212103=⪩⨒∯-20033","layer":2},{"info":"⪩⨒∯-20033≦≮≮=⪩⨒∯120231","layer":1},{"info":"⪩⨒∯120231⪹=⪩⨒∯1313212","layer":0}]}
{"id":942,"expression_no_base_symbol":"(($2013$⫘$2447$≋⫹)⪡(⋣$1913$)≚⊃≕$4488$⇤$4502$)↓⨍⋜","expression":"((⪩⨒∯133131⫘⪩⨒∯212033≋⫹)⪡(⋣⪩⨒∯131321)≚⊃≕⪩⨒∯1012020⇤⪩⨒∯1012112)↓⨍⋜","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2712,"operation_count":7,"complexity_ratio":387.42857142857144,"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":2013,"base":4},"right_expr":{"type":"numeric_atoms","value":2447,"base":4}}},"right_expr":{"type":"binary","operator":"≚⊃≕","left_expr":{"type":"unary","operator":"⋣","unary_expr":{"type":"numeric_atoms","value":1913,"base":4}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":4488,"base":4},"right_expr":{"type":"numeric_atoms","value":4502,"base":4}}}}},"used_operators":["3DVzLFNsE9","oraRL2iQuh","N41Kp7NANJ","48vC8HMD2b","Bmrmz2XGnR","zQWRhDnn8F","YSKBFp38Pu"],"dependent_operators":["OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2","2Wsdkap16l","ljTHtUsqzn","k8jYdgA6NY","8WDwsbhb0R","W4YGzv6Whe","t8gj7n24qd","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","sdazOOVcIp","8w2t5hMYqp","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","vRio1gEz1j","x5lMkHmzsq","3EYGwJThht","DbCuESL50I","XTarYq4gQB","IGFM8TAlm9","sdazOOVcIp","8HhzD0ZcuI","keWfFq85dY","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⪩⨒∯1212332","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2013","layer":4},{"info":"number node, value=2447","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=2447, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=2371693","layer":3},{"info":"compute unary expreesion, input=2371693, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4743386","layer":2},{"info":"number node, value=1913","layer":4},{"info":"compute unary expreesion, input=1913, op_id = zQWRhDnn8F, unary_op_definition = '⋣a = { ((⋼∭⪍203)⇄(≯(a⨽a))) , if (a⇩)==859 ; (↥≼⋛((⪝⪂⫅a)⪨≂(⇉-⫰26))) , else }', output=-562327","layer":3},{"info":"number node, value=4488","layer":4},{"info":"number node, value=4502","layer":4},{"info":"compute binary expreesion, left_input=4488, right_input=4502, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-42102","layer":3},{"info":"compute binary expreesion, left_input=-562327, right_input=-42102, 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=-2333678","layer":2},{"info":"compute binary expreesion, left_input=-4743386, right_input=-2333678, op_id = oraRL2iQuh binary_op_definition= 'a⪡b = { (107%(a⩹b)) , if a>=49 ; (≀↧⇸(∂⩏⊆a)) , else }', output=9487740","layer":1},{"info":"compute unary expreesion, input=9487740, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯133131⫘⪩⨒∯212033≋⫹)⪡(⋣⪩⨒∯131321)≚⊃≕⪩⨒∯1012020⇤⪩⨒∯1012112)↓⨍⋜=⪩⨒∯1212332","reverse_text":"⪩⨒∯1212332=((⪩⨒∯133131⫘⪩⨒∯212033≋⫹)⪡(⋣⪩⨒∯131321)≚⊃≕⪩⨒∯1012020⇤⪩⨒∯1012112)↓⨍⋜","cot":[{"info":"⪩⨒∯133131⫘⪩⨒∯212033=⪩⨒∯21003001231","layer":3},{"info":"⪩⨒∯21003001231≋⫹=⪩⨒∯-102012003122","layer":2},{"info":"⋣⪩⨒∯131321=⪩⨒∯-2021102113","layer":3},{"info":"⪩⨒∯1012020⇤⪩⨒∯1012112=⪩⨒∯-22101312","layer":3},{"info":"⪩⨒∯-2021102113≚⊃≕⪩⨒∯-22101312=⪩⨒∯-20321233232","layer":2},{"info":"⪩⨒∯-102012003122⪡⪩⨒∯-20321233232=⪩⨒∯210030111330","layer":1},{"info":"⪩⨒∯210030111330↓⨍⋜=⪩⨒∯1212332","layer":0}]}
{"id":943,"expression_no_base_symbol":"(⊲⪭($4346$∑⇟⊟$4367$))⋻⩜⩜($2161$∀⋜↑)⋥⋵⩄($3126$↙$5282$)⊍⩺⋍(($1265$↸$6602$)⊱⇼⊻(⊿$1827$)∽(⊬↢$3639$↞⋁$1931$))","expression":"(⊲⪭(⪩⨒∯1003322∑⇟⊟⪩⨒∯1010033))⋻⩜⩜(⪩⨒∯201301∀⋜↑)⋥⋵⩄(⪩⨒∯300312↙⪩⨒∯1102202)⊍⩺⋍((⪩⨒∯103301↸⪩⨒∯1213022)⊱⇼⊻(⊿⪩⨒∯130203)∽(⊬↢⪩⨒∯320313↞⋁⪩⨒∯132023))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2217459,"operation_count":13,"complexity_ratio":170573.76923076922,"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":4346,"base":4},"right_expr":{"type":"numeric_atoms","value":4367,"base":4}}},"right_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"unary","operator":"∀⋜↑","unary_expr":{"type":"numeric_atoms","value":2161,"base":4}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3126,"base":4},"right_expr":{"type":"numeric_atoms","value":5282,"base":4}}}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"↸","left_expr":{"type":"numeric_atoms","value":1265,"base":4},"right_expr":{"type":"numeric_atoms","value":6602,"base":4}},"right_expr":{"type":"unary","operator":"⊿","unary_expr":{"type":"numeric_atoms","value":1827,"base":4}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":3639,"base":4},"right_expr":{"type":"numeric_atoms","value":1931,"base":4}}}}},"used_operators":["OXDGMFPWZM","oDCm7WA9JY","k7HXdKtiEU","U7g4x0WXJJ","7t3wd0Fuz7","KipPnG1M2J","yyfyN0ffXY","y4ImoPnbV5","FyVja0WsTP","1eCjFl0mb9","DO4fhlbJSI","WPoGxAaPR1","RqrPlJkxDo"],"dependent_operators":["kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","i8ToyICDmI","xUOZtlo3hN","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","23Mk6UjR3U","f6k1SAg4EE","tmPS8pqC7x","DpFCA1CohY","NTOWxs364D","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","9FxExcQeMw","e1ybzncUwg","XPYlsWDdGa","sdazOOVcIp","2DQ55sFlQl","12rbrZMWeM","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","Uaa54Peajs","CArV6hThFE","13rbtpv6ld"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4346","layer":4},{"info":"number node, value=4367","layer":4},{"info":"compute binary expreesion, left_input=4346, right_input=4367, 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 = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=nan","layer":2},{"info":"number node, value=2161","layer":4},{"info":"compute unary expreesion, input=2161, op_id = KipPnG1M2J, unary_op_definition = 'a∀⋜↑ = { ((≤/a)⪒(a⋷a)) }', output=-484","layer":3},{"info":"number node, value=3126","layer":4},{"info":"number node, value=5282","layer":4},{"info":"compute binary expreesion, left_input=3126, right_input=5282, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-15846","layer":3},{"info":"compute binary expreesion, left_input=-484, right_input=-15846, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=157884","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=157884, 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":1},{"info":"number node, value=1265","layer":4},{"info":"number node, value=6602","layer":4},{"info":"compute binary expreesion, left_input=1265, right_input=6602, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=1265","layer":3},{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = DO4fhlbJSI, unary_op_definition = '⊿a = { ((⪲⇎(a⨵⪆a))⩷∴((≉a)⋳⪒(a⪨≂a))) }', output=-8046","layer":3},{"info":"compute binary expreesion, left_input=1265, right_input=-8046, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=7862","layer":2},{"info":"number node, value=3639","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=3639, right_input=1931, 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 = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7862, right_input=nan, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', 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":4,"result_base":4,"text":"(⊲⪭(⪩⨒∯1003322∑⇟⊟⪩⨒∯1010033))⋻⩜⩜(⪩⨒∯201301∀⋜↑)⋥⋵⩄(⪩⨒∯300312↙⪩⨒∯1102202)⊍⩺⋍((⪩⨒∯103301↸⪩⨒∯1213022)⊱⇼⊻(⊿⪩⨒∯130203)∽(⊬↢⪩⨒∯320313↞⋁⪩⨒∯132023))=NaN","reverse_text":"NaN=(⊲⪭(⪩⨒∯1003322∑⇟⊟⪩⨒∯1010033))⋻⩜⩜(⪩⨒∯201301∀⋜↑)⋥⋵⩄(⪩⨒∯300312↙⪩⨒∯1102202)⊍⩺⋍((⪩⨒∯103301↸⪩⨒∯1213022)⊱⇼⊻(⊿⪩⨒∯130203)∽(⊬↢⪩⨒∯320313↞⋁⪩⨒∯132023))","cot":[{"info":"⪩⨒∯1003322∑⇟⊟⪩⨒∯1010033=NaN","layer":3},{"info":"⊲⪭NaN=NaN","layer":2},{"info":"⪩⨒∯201301∀⋜↑=⪩⨒∯-13210","layer":3},{"info":"⪩⨒∯300312↙⪩⨒∯1102202=⪩⨒∯-3313212","layer":3},{"info":"⪩⨒∯-13210⋥⋵⩄⪩⨒∯-3313212=⪩⨒∯212202330","layer":2},{"info":"NaN⋻⩜⩜⪩⨒∯212202330=NaN","layer":1},{"info":"⪩⨒∯103301↸⪩⨒∯1213022=⪩⨒∯103301","layer":3},{"info":"⊿⪩⨒∯130203=⪩⨒∯-1331232","layer":3},{"info":"⪩⨒∯103301⊱⇼⊻⪩⨒∯-1331232=⪩⨒∯1322312","layer":2},{"info":"⪩⨒∯320313↞⋁⪩⨒∯132023=NaN","layer":3},{"info":"⊬↢NaN=NaN","layer":2},{"info":"⪩⨒∯1322312∽NaN=NaN","layer":1},{"info":"NaN⊍⩺⋍NaN=NaN","layer":0}]}
{"id":944,"expression_no_base_symbol":"((⩦⊞$2871$⊬⨰$1873$)⨓($2569$⩧⪆$1365$)⩌⋺($2476$⩹$2634$))≁(($1285$⊋≦⊧$3047$)⨜⨶($1077$⩁⩘$2717$))≌(⪨⨬($1339$+$6451$))","expression":"((⩦⊞⪩⨒∯230313⊬⨰⪩⨒∯131101)⨓(⪩⨒∯220021⩧⪆⪩⨒∯111111)⩌⋺(⪩⨒∯212230⩹⪩⨒∯221022))≁((⪩⨒∯110011⊋≦⊧⪩⨒∯233213)⨜⨶(⪩⨒∯100311⩁⩘⪩⨒∯222131))≌(⪨⨬(⪩⨒∯110323+⪩⨒∯1210303))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":282123,"operation_count":13,"complexity_ratio":21701.76923076923,"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":2871,"base":4},"right_expr":{"type":"numeric_atoms","value":1873,"base":4}}},"right_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2569,"base":4},"right_expr":{"type":"numeric_atoms","value":1365,"base":4}},"right_expr":{"type":"binary","operator":"⩹","left_expr":{"type":"numeric_atoms","value":2476,"base":4},"right_expr":{"type":"numeric_atoms","value":2634,"base":4}}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":1285,"base":4},"right_expr":{"type":"numeric_atoms","value":3047,"base":4}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":1077,"base":4},"right_expr":{"type":"numeric_atoms","value":2717,"base":4}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1339,"base":4},"right_expr":{"type":"numeric_atoms","value":6451,"base":4}}}}},"used_operators":["8N2wDY1A35","3ViojmjbAp","u7fv1HBiaC","s3Fd5m9Dh2","g7Hmc5v1ko","Ikt5ks8PT7","2Wsdkap16l","lyWz822IDG","HiPekx5b7W","oRDoc9rAEX","gub5Cegaqo","5obUd6DV38","W4YGzv6Whe"],"dependent_operators":["B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","23Mk6UjR3U","g55IO6H4Gj","nCS4ZIUYfx","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","eewbuw0ToL","t8gj7n24qd","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","DpFCA1CohY","IWmyXbctLI","T2fj7uvVaJ","nlCqmYiOvY"],"result":"⪩⨒∯332033033","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2871","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=2871, right_input=1873, op_id = s3Fd5m9Dh2 binary_op_definition= 'a⊬⨰b = { ((a⋷528)⨳⩥⨓(b⨸⪁b)) }', output=9307","layer":3},{"info":"compute unary expreesion, input=9307, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-9034","layer":2},{"info":"number node, value=2569","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=2569, right_input=1365, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1365","layer":3},{"info":"number node, value=2476","layer":4},{"info":"number node, value=2634","layer":4},{"info":"compute binary expreesion, left_input=2476, right_input=2634, 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=2632","layer":3},{"info":"compute binary expreesion, left_input=-1365, right_input=2632, 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=-1388","layer":2},{"info":"compute binary expreesion, left_input=-9034, right_input=-1388, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1385","layer":1},{"info":"number node, value=1285","layer":4},{"info":"number node, value=3047","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=3047, 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=-4092","layer":3},{"info":"number node, value=1077","layer":4},{"info":"number node, value=2717","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=2717, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=11816","layer":3},{"info":"compute binary expreesion, left_input=-4092, right_input=11816, 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=-23376","layer":2},{"info":"number node, value=1339","layer":4},{"info":"number node, value=6451","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=6451, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7790","layer":3},{"info":"compute unary expreesion, input=7790, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":2},{"info":"compute binary expreesion, left_input=-23376, right_input=-526, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=11172","layer":1},{"info":"compute binary expreesion, left_input=1385, right_input=11172, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=254927","layer":0}],"base":4,"result_base":4,"text":"((⩦⊞⪩⨒∯230313⊬⨰⪩⨒∯131101)⨓(⪩⨒∯220021⩧⪆⪩⨒∯111111)⩌⋺(⪩⨒∯212230⩹⪩⨒∯221022))≁((⪩⨒∯110011⊋≦⊧⪩⨒∯233213)⨜⨶(⪩⨒∯100311⩁⩘⪩⨒∯222131))≌(⪨⨬(⪩⨒∯110323+⪩⨒∯1210303))=⪩⨒∯332033033","reverse_text":"⪩⨒∯332033033=((⩦⊞⪩⨒∯230313⊬⨰⪩⨒∯131101)⨓(⪩⨒∯220021⩧⪆⪩⨒∯111111)⩌⋺(⪩⨒∯212230⩹⪩⨒∯221022))≁((⪩⨒∯110011⊋≦⊧⪩⨒∯233213)⨜⨶(⪩⨒∯100311⩁⩘⪩⨒∯222131))≌(⪨⨬(⪩⨒∯110323+⪩⨒∯1210303))","cot":[{"info":"⪩⨒∯230313⊬⨰⪩⨒∯131101=⪩⨒∯2101123","layer":3},{"info":"⩦⊞⪩⨒∯2101123=⪩⨒∯-2031022","layer":2},{"info":"⪩⨒∯220021⩧⪆⪩⨒∯111111=⪩⨒∯-111111","layer":3},{"info":"⪩⨒∯212230⩹⪩⨒∯221022=⪩⨒∯221020","layer":3},{"info":"⪩⨒∯-111111⩌⋺⪩⨒∯221020=⪩⨒∯-111230","layer":2},{"info":"⪩⨒∯-2031022⨓⪩⨒∯-111230=⪩⨒∯111221","layer":1},{"info":"⪩⨒∯110011⊋≦⊧⪩⨒∯233213=⪩⨒∯-333330","layer":3},{"info":"⪩⨒∯100311⩁⩘⪩⨒∯222131=⪩⨒∯2320220","layer":3},{"info":"⪩⨒∯-333330⨜⨶⪩⨒∯2320220=⪩⨒∯-11231100","layer":2},{"info":"⪩⨒∯110323+⪩⨒∯1210303=⪩⨒∯1321232","layer":3},{"info":"⪨⨬⪩⨒∯1321232=⪩⨒∯-20032","layer":2},{"info":"⪩⨒∯-11231100≌⪩⨒∯-20032=⪩⨒∯2232210","layer":1},{"info":"⪩⨒∯111221≁⪩⨒∯2232210=⪩⨒∯332033033","layer":0}]}
{"id":945,"expression_no_base_symbol":"(($6340$⨑⩅≇$2918$/($2684$∁))-$5845$⨑⩅≇$1269$⩒⫫(⪛⨧$3200$))∊∟⩊(($3434$⪠⩆⊳)⪭≯($1418$⪃↞⩐)≬⋮($3337$⪔⊥$1429$)≝⊿$1011$⇤$5873$)","expression":"((⪩⨒∯1203010⨑⩅≇⪩⨒∯231212/(⪩⨒∯221330∁))-⪩⨒∯1123111⨑⩅≇⪩⨒∯103311⩒⫫(⪛⨧⪩⨒∯302000))∊∟⩊((⪩⨒∯311222⪠⩆⊳)⪭≯(⪩⨒∯112022⪃↞⩐)≬⋮(⪩⨒∯310021⪔⊥⪩⨒∯112111)≝⊿⪩⨒∯33303⇤⪩⨒∯1123301)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5307,"operation_count":15,"complexity_ratio":353.8,"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":6340,"base":4},"right_expr":{"type":"numeric_atoms","value":2918,"base":4}},"right_expr":{"type":"unary","operator":"∁","unary_expr":{"type":"numeric_atoms","value":2684,"base":4}}},"right_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":5845,"base":4},"right_expr":{"type":"numeric_atoms","value":1269,"base":4}},"right_expr":{"type":"unary","operator":"⪛⨧","unary_expr":{"type":"numeric_atoms","value":3200,"base":4}}}},"right_expr":{"type":"binary","operator":"≬⋮","left_expr":{"type":"binary","operator":"⪭≯","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3434,"base":4}},"right_expr":{"type":"unary","operator":"⪃↞⩐","unary_expr":{"type":"numeric_atoms","value":1418,"base":4}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"binary","operator":"⪔⊥","left_expr":{"type":"numeric_atoms","value":3337,"base":4},"right_expr":{"type":"numeric_atoms","value":1429,"base":4}},"right_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":1011,"base":4},"right_expr":{"type":"numeric_atoms","value":5873,"base":4}}}}},"used_operators":["ddLRYrp01A","rysDP5nf3Z","XhwjNDsVaA","h92wMvzauj","jdwGQqwJi5","KFSx94NKJn","6NJAcO2OWT","kbkesczE7y","XAx5wpdLa6","JLbD19bQDL","grXIztHqDa","OKKcZfAt5B","HJ9erzHUuu","YSKBFp38Pu"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","rysDP5nf3Z","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","2DDjHMKMc0","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","9samAPKr6k","HJ9erzHUuu","TpPTUOHfaN","DbCuESL50I","s1XTVnmDOJ","61wBmkZwlr","Z5CJsN7DuW","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","IwW236VD4Y","bF6eod5Gvf","l07mrZUIn9","12rbrZMWeM","eLAdDNolq6","rysDP5nf3Z","7j4O788W3g","tifHPKVTfV","8w2t5hMYqp","sdazOOVcIp","2td37pGCOC","COABgblf1C","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q"],"result":"⪩⨒∯210","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=6340","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=6340, right_input=2918, 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=-19020","layer":3},{"info":"number node, value=2684","layer":4},{"info":"compute unary expreesion, input=2684, op_id = jdwGQqwJi5, unary_op_definition = 'a∁ = { (a⋝⋈⪟a) }', output=2684","layer":3},{"info":"compute binary expreesion, left_input=-19020, right_input=2684, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-8","layer":2},{"info":"number node, value=5845","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=5845, right_input=1269, 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=-17535","layer":3},{"info":"number node, value=3200","layer":4},{"info":"compute unary expreesion, input=3200, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=7801","layer":3},{"info":"compute binary expreesion, left_input=-17535, right_input=7801, 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":2},{"info":"compute binary expreesion, left_input=-8, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-168","layer":1},{"info":"number node, value=3434","layer":4},{"info":"compute unary expreesion, input=3434, 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=1418","layer":4},{"info":"compute unary expreesion, input=1418, op_id = grXIztHqDa, unary_op_definition = 'a⪃↞⩐ = { ((a→⨶⪴a)≠≀(a↪⪝)) }', output=8814","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8814, op_id = XAx5wpdLa6 binary_op_definition= 'a⪭≯b = { (((b⨽∌374)⪔⊥(⋼∭⪍b))+⇶⊼((≋a)≓∲(↨⩢⫨a))) }', output=nan","layer":2},{"info":"number node, value=3337","layer":4},{"info":"number node, value=1429","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=1429, op_id = HJ9erzHUuu binary_op_definition= 'a⪔⊥b = { (⩦⩻⨪(≤/(315⇼⇔∾a))) , if b<175 ; ((⊄⩳↩(b-b))⇼⇔∾((b⪨≂a)⊭↱(a↺b))) , else }', output=10291","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=5873","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=5873, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-31572","layer":3},{"info":"compute binary expreesion, left_input=10291, right_input=-31572, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=52320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=52320, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=868","layer":1},{"info":"compute binary expreesion, left_input=-168, right_input=868, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=36","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1203010⨑⩅≇⪩⨒∯231212/(⪩⨒∯221330∁))-⪩⨒∯1123111⨑⩅≇⪩⨒∯103311⩒⫫(⪛⨧⪩⨒∯302000))∊∟⩊((⪩⨒∯311222⪠⩆⊳)⪭≯(⪩⨒∯112022⪃↞⩐)≬⋮(⪩⨒∯310021⪔⊥⪩⨒∯112111)≝⊿⪩⨒∯33303⇤⪩⨒∯1123301)=⪩⨒∯210","reverse_text":"⪩⨒∯210=((⪩⨒∯1203010⨑⩅≇⪩⨒∯231212/(⪩⨒∯221330∁))-⪩⨒∯1123111⨑⩅≇⪩⨒∯103311⩒⫫(⪛⨧⪩⨒∯302000))∊∟⩊((⪩⨒∯311222⪠⩆⊳)⪭≯(⪩⨒∯112022⪃↞⩐)≬⋮(⪩⨒∯310021⪔⊥⪩⨒∯112111)≝⊿⪩⨒∯33303⇤⪩⨒∯1123301)","cot":[{"info":"⪩⨒∯1203010⨑⩅≇⪩⨒∯231212=⪩⨒∯-10221030","layer":3},{"info":"⪩⨒∯221330∁=⪩⨒∯221330","layer":3},{"info":"⪩⨒∯-10221030/⪩⨒∯221330=⪩⨒∯-20","layer":2},{"info":"⪩⨒∯1123111⨑⩅≇⪩⨒∯103311=⪩⨒∯-10101333","layer":3},{"info":"⪛⨧⪩⨒∯302000=⪩⨒∯1321321","layer":3},{"info":"⪩⨒∯-10101333⩒⫫⪩⨒∯1321321=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯-20-⪩⨒∯2200=⪩⨒∯-2220","layer":1},{"info":"⪩⨒∯311222⪠⩆⊳=⪩⨒∯0","layer":3},{"info":"⪩⨒∯112022⪃↞⩐=⪩⨒∯2021232","layer":3},{"info":"⪩⨒∯0⪭≯⪩⨒∯2021232=NaN","layer":2},{"info":"⪩⨒∯310021⪔⊥⪩⨒∯112111=⪩⨒∯2200303","layer":3},{"info":"⪩⨒∯33303⇤⪩⨒∯1123301=⪩⨒∯-13231110","layer":3},{"info":"⪩⨒∯2200303≝⊿⪩⨒∯-13231110=⪩⨒∯30301200","layer":2},{"info":"NaN≬⋮⪩⨒∯30301200=⪩⨒∯31210","layer":1},{"info":"⪩⨒∯-2220∊∟⩊⪩⨒∯31210=⪩⨒∯210","layer":0}]}
{"id":946,"expression_no_base_symbol":"(($7766$↸$1872$↱($3842$⊊))⫩⊇)⪪(($3848$⩒⫫$2314$)∥⊢⊲($9493$⨳⩥⨓$6906$))⫗⊷⫓($4249$⇄$4779$⩟)","expression":"((⪩⨒∯1321112↸⪩⨒∯131100↱(⪩⨒∯330002⊊))⫩⊇)⪪((⪩⨒∯330020⩒⫫⪩⨒∯210022)∥⊢⊲(⪩⨒∯2110111⨳⩥⨓⪩⨒∯1223322))⫗⊷⫓(⪩⨒∯1002121⇄⪩⨒∯1022223⩟)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":906793,"operation_count":11,"complexity_ratio":82435.72727272728,"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":7766,"base":4},"right_expr":{"type":"numeric_atoms","value":1872,"base":4}},"right_expr":{"type":"unary","operator":"⊊","unary_expr":{"type":"numeric_atoms","value":3842,"base":4}}}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⩒⫫","left_expr":{"type":"numeric_atoms","value":3848,"base":4},"right_expr":{"type":"numeric_atoms","value":2314,"base":4}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":9493,"base":4},"right_expr":{"type":"numeric_atoms","value":6906,"base":4}}},"right_expr":{"type":"unary","operator":"⩟","unary_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"numeric_atoms","value":4249,"base":4},"right_expr":{"type":"numeric_atoms","value":4779,"base":4}}}}},"used_operators":["xD69zh8xqp","BjRHVeLaeN","SR5kFfdi6N","1eCjFl0mb9","W9R8I5fN5A","zashukvMKz","v1UQAVDJRr","KFSx94NKJn","nCS4ZIUYfx","fOIeswaMU4","3EYGwJThht"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","rysDP5nf3Z","t8gj7n24qd","k4iM1060OG","eOf03JbCpp","2GS7woTJqF","XnXgA4xnOs","ddLRYrp01A","Noe24qw2ks","bF6eod5Gvf","Nsiff2A1zJ","j9kHMeSvPp","pRsWfj4Fpp","apS25hmuAe","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","DlLNRPXxWL","aBQ6xLxuTc","8n5YIzOsVS","oZj3VtZNQx","MahUMFw56D","hyuBjUqXlG","aA7tF3KVD3","2DDjHMKMc0","QMFrweE19q","SxTAKzQCrw","8cLx32lpNA","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","EBcxylXtPf","rGHVDoGpnC","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","XIabStNQrY","glklzrTFfD","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","EBcxylXtPf","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","Qy55tPpLXF","8w2t5hMYqp","12rbrZMWeM","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI"],"result":"⪩⨒∯-2130311133010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7766","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=7766, right_input=1872, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=7766","layer":3},{"info":"number node, value=3842","layer":4},{"info":"compute unary expreesion, input=3842, 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=7766, right_input=90927, 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=-272259","layer":2},{"info":"compute unary expreesion, input=-272259, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=272301","layer":1},{"info":"number node, value=3848","layer":4},{"info":"number node, value=2314","layer":4},{"info":"compute binary expreesion, left_input=3848, right_input=2314, op_id = KFSx94NKJn binary_op_definition= 'a⩒⫫b = { (((195⪨≂263)⪨≂(b⇋≉))⨵⪆((82⫩⊇)⨁⊸⫻)) , if (a⫌⩹⨱)<47 ; (((b⇼⇔∾a)-(a⪨≂a))⩚⊴⇥((⨑⩽⪐a)⨰(b⨳⩥⨓a))) , else }', output=3546","layer":3},{"info":"number node, value=9493","layer":4},{"info":"number node, value=6906","layer":4},{"info":"compute binary expreesion, left_input=9493, right_input=6906, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2587","layer":3},{"info":"compute binary expreesion, left_input=3546, right_input=-2587, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":2},{"info":"number node, value=4249","layer":4},{"info":"number node, value=4779","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=4779, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = fOIeswaMU4, unary_op_definition = 'a⩟ = { (⊄⩳↩((a⋳⪒a)+(155⋥≓≎a))) }', output=1227","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1227, 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=272301, right_input=-134, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-41113540","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1321112↸⪩⨒∯131100↱(⪩⨒∯330002⊊))⫩⊇)⪪((⪩⨒∯330020⩒⫫⪩⨒∯210022)∥⊢⊲(⪩⨒∯2110111⨳⩥⨓⪩⨒∯1223322))⫗⊷⫓(⪩⨒∯1002121⇄⪩⨒∯1022223⩟)=⪩⨒∯-2130311133010","reverse_text":"⪩⨒∯-2130311133010=((⪩⨒∯1321112↸⪩⨒∯131100↱(⪩⨒∯330002⊊))⫩⊇)⪪((⪩⨒∯330020⩒⫫⪩⨒∯210022)∥⊢⊲(⪩⨒∯2110111⨳⩥⨓⪩⨒∯1223322))⫗⊷⫓(⪩⨒∯1002121⇄⪩⨒∯1022223⩟)","cot":[{"info":"⪩⨒∯1321112↸⪩⨒∯131100=⪩⨒∯1321112","layer":3},{"info":"⪩⨒∯330002⊊=⪩⨒∯112030233","layer":3},{"info":"⪩⨒∯1321112↱⪩⨒∯112030233=⪩⨒∯-1002132003","layer":2},{"info":"⪩⨒∯-1002132003⫩⊇=⪩⨒∯1002132231","layer":1},{"info":"⪩⨒∯330020⩒⫫⪩⨒∯210022=⪩⨒∯313122","layer":3},{"info":"⪩⨒∯2110111⨳⩥⨓⪩⨒∯1223322=⪩⨒∯-220123","layer":3},{"info":"⪩⨒∯313122∥⊢⊲⪩⨒∯-220123=NaN","layer":2},{"info":"⪩⨒∯1002121⇄⪩⨒∯1022223=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⩟=⪩⨒∯103023","layer":2},{"info":"NaN⫗⊷⫓⪩⨒∯103023=⪩⨒∯-2012","layer":1},{"info":"⪩⨒∯1002132231⪪⪩⨒∯-2012=⪩⨒∯-2130311133010","layer":0}]}
{"id":947,"expression_no_base_symbol":"(⇜⊴$1695$⋾⨃∁$1158$)⨐(($2548$⨒$3154$)∙⊟$5274$⫢⨠$5370$)⫦⪉($1176$⊱⇼⊻$5286$⨽(⨵$1110$))⨚⇆($5134$↼⊘⨖$2284$)⩦($9132$↓⨍⋜)","expression":"(⇜⊴⪩⨒∯122133⋾⨃∁⪩⨒∯102012)⨐((⪩⨒∯213310⨒⪩⨒∯301102)∙⊟⪩⨒∯1102122⫢⨠⪩⨒∯1103322)⫦⪉(⪩⨒∯102120⊱⇼⊻⪩⨒∯1102212⨽(⨵⪩⨒∯101112))⨚⇆(⪩⨒∯1100032↼⊘⨖⪩⨒∯203230)⩦(⪩⨒∯2032230↓⨍⋜)","highest_n_order":3,"priority_hierarchical_complexity":13,"normalized_expansion_degree":3751582,"operation_count":14,"complexity_ratio":267970.14285714284,"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":1695,"base":4},"right_expr":{"type":"numeric_atoms","value":1158,"base":4}}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"binary","operator":"⨒","left_expr":{"type":"numeric_atoms","value":2548,"base":4},"right_expr":{"type":"numeric_atoms","value":3154,"base":4}},"right_expr":{"type":"binary","operator":"⫢⨠","left_expr":{"type":"numeric_atoms","value":5274,"base":4},"right_expr":{"type":"numeric_atoms","value":5370,"base":4}}}},"right_expr":{"type":"binary","operator":"⨚⇆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"numeric_atoms","value":1176,"base":4},"right_expr":{"type":"numeric_atoms","value":5286,"base":4}},"right_expr":{"type":"unary","operator":"⨵","unary_expr":{"type":"numeric_atoms","value":1110,"base":4}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"binary","operator":"↼⊘⨖","left_expr":{"type":"numeric_atoms","value":5134,"base":4},"right_expr":{"type":"numeric_atoms","value":2284,"base":4}},"right_expr":{"type":"unary","operator":"↓⨍⋜","unary_expr":{"type":"numeric_atoms","value":9132,"base":4}}}}},"used_operators":["wscyQdcy20","Noe24qw2ks","XwDhCwWbUn","212REbPD9h","SxTAKzQCrw","y75s1iXyHd","xlXykHWxX1","lwHaAYXP2r","8HhzD0ZcuI","FyVja0WsTP","Tl3Y52tvF8","0kmYd0q39Y","bPywburJMS","3DVzLFNsE9"],"dependent_operators":["W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","srAu1WTS94","oacrs7FA3X","7qqUquhhSb","KFSx94NKJn","e1ybzncUwg","zR4jO40bMj","g7Hmc5v1ko","k2HlF1dBQh","2DlMacCsIx","gx7XJ7hdpj","LRNGc0VcxI","pB6Fcnrjim","DmTXOeWf9t","PoHhknlbAi","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","9FxExcQeMw","P8v4zCKN1o","t8gj7n24qd","OKKcZfAt5B","zR4jO40bMj","XnXgA4xnOs","o20kRiQErp","7t3wd0Fuz7","Z5m6OM72h2"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1695","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=1158, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=13395650","layer":3},{"info":"compute unary expreesion, input=13395650, 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=-inf","layer":2},{"info":"number node, value=2548","layer":4},{"info":"number node, value=3154","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=3154, op_id = y75s1iXyHd binary_op_definition= 'a⨒b = { ((⨵≀≌(a⪘⫢b))⩉⊫⨁) }', output=-14916","layer":3},{"info":"number node, value=5274","layer":4},{"info":"number node, value=5370","layer":4},{"info":"compute binary expreesion, left_input=5274, right_input=5370, op_id = xlXykHWxX1 binary_op_definition= 'a⫢⨠b = { (((b⩨a)⪶≀⋏(a⩌⋺b))⩒⫫(∤(≉a))) }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-14916, right_input=160, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=209652","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=209652, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=inf","layer":1},{"info":"number node, value=1176","layer":4},{"info":"number node, value=5286","layer":4},{"info":"compute binary expreesion, left_input=1176, right_input=5286, 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=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=-10089","layer":3},{"info":"compute binary expreesion, left_input=434, right_input=-10089, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-533487","layer":2},{"info":"number node, value=5134","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=5134, right_input=2284, op_id = bPywburJMS binary_op_definition= 'a↼⊘⨖b = { (-a) , if (∥⊫b)==149 ; (b⩷∴95) , else }', output=4346","layer":3},{"info":"number node, value=9132","layer":4},{"info":"compute unary expreesion, input=9132, op_id = 3DVzLFNsE9, unary_op_definition = 'a↓⨍⋜ = { (((a≝⊿a)⪶≀⋏(a∸))⨑≵⋬((a⋥⋵⩄a)∘(a⪶≀⋏a))) }', output=6590","layer":3},{"info":"compute binary expreesion, left_input=4346, right_input=6590, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=8692","layer":2},{"info":"compute binary expreesion, left_input=-533487, right_input=8692, 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=inf, right_input=nan, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇜⊴⪩⨒∯122133⋾⨃∁⪩⨒∯102012)⨐((⪩⨒∯213310⨒⪩⨒∯301102)∙⊟⪩⨒∯1102122⫢⨠⪩⨒∯1103322)⫦⪉(⪩⨒∯102120⊱⇼⊻⪩⨒∯1102212⨽(⨵⪩⨒∯101112))⨚⇆(⪩⨒∯1100032↼⊘⨖⪩⨒∯203230)⩦(⪩⨒∯2032230↓⨍⋜)=NaN","reverse_text":"NaN=(⇜⊴⪩⨒∯122133⋾⨃∁⪩⨒∯102012)⨐((⪩⨒∯213310⨒⪩⨒∯301102)∙⊟⪩⨒∯1102122⫢⨠⪩⨒∯1103322)⫦⪉(⪩⨒∯102120⊱⇼⊻⪩⨒∯1102212⨽(⨵⪩⨒∯101112))⨚⇆(⪩⨒∯1100032↼⊘⨖⪩⨒∯203230)⩦(⪩⨒∯2032230↓⨍⋜)","cot":[{"info":"⪩⨒∯122133⋾⨃∁⪩⨒∯102012=⪩⨒∯303012123002","layer":3},{"info":"⇜⊴⪩⨒∯303012123002=-Inf","layer":2},{"info":"⪩⨒∯213310⨒⪩⨒∯301102=⪩⨒∯-3221010","layer":3},{"info":"⪩⨒∯1102122⫢⨠⪩⨒∯1103322=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-3221010∙⊟⪩⨒∯2200=⪩⨒∯303023310","layer":2},{"info":"-Inf⨐⪩⨒∯303023310=Inf","layer":1},{"info":"⪩⨒∯102120⊱⇼⊻⪩⨒∯1102212=⪩⨒∯12302","layer":3},{"info":"⨵⪩⨒∯101112=⪩⨒∯-2131221","layer":3},{"info":"⪩⨒∯12302⨽⪩⨒∯-2131221=⪩⨒∯-2002033233","layer":2},{"info":"⪩⨒∯1100032↼⊘⨖⪩⨒∯203230=⪩⨒∯1003322","layer":3},{"info":"⪩⨒∯2032230↓⨍⋜=⪩⨒∯1212332","layer":3},{"info":"⪩⨒∯1003322⩦⪩⨒∯1212332=⪩⨒∯2013310","layer":2},{"info":"⪩⨒∯-2002033233⨚⇆⪩⨒∯2013310=NaN","layer":1},{"info":"Inf⫦⪉NaN=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"(⪸$7334$)⨜⨶($2688$⨼⩣$7544$)⩌⋺(⨈⪑(⩦⊞$2306$))/(($1073$⪛⫼$1106$)⊎←↗)≝⊿($3134$⨼⩣$3318$⫡⨏$3931$⪮%⊝$7655$)","expression":"(⪸⪩⨒∯1302212)⨜⨶(⪩⨒∯222000⨼⩣⪩⨒∯1311320)⩌⋺(⨈⪑(⩦⊞⪩⨒∯210002))/((⪩⨒∯100301⪛⫼⪩⨒∯101102)⊎←↗)≝⊿(⪩⨒∯300332⨼⩣⪩⨒∯303312⫡⨏⪩⨒∯331123⪮%⊝⪩⨒∯1313213)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1020,"operation_count":13,"complexity_ratio":78.46153846153847,"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":7334,"base":4}},"right_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":2688,"base":4},"right_expr":{"type":"numeric_atoms","value":7544,"base":4}}},"right_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":2306,"base":4}}}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"unary","operator":"⊎←↗","unary_expr":{"type":"binary","operator":"⪛⫼","left_expr":{"type":"numeric_atoms","value":1073,"base":4},"right_expr":{"type":"numeric_atoms","value":1106,"base":4}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨼⩣","left_expr":{"type":"numeric_atoms","value":3134,"base":4},"right_expr":{"type":"numeric_atoms","value":3318,"base":4}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3931,"base":4},"right_expr":{"type":"numeric_atoms","value":7655,"base":4}}}}},"used_operators":["XhwjNDsVaA","g7Hmc5v1ko","HiPekx5b7W","86A5ENbKR9","JxwMv5le6e","mp94q5OcYM","u7fv1HBiaC","OKKcZfAt5B","dwb5p0fa6d","hyuBjUqXlG","QMFrweE19q","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","Qy55tPpLXF","23Mk6UjR3U","tifHPKVTfV","sdazOOVcIp","g55IO6H4Gj","AF7qkfDlqP","QMFrweE19q","uFcxV4UQCh","cHh1gJQ2o6","SL6IHkK8vl","KYD54nUTWz","pRsWfj4Fpp","CArV6hThFE","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","12rbrZMWeM","sdazOOVcIp","COABgblf1C","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7334","layer":4},{"info":"compute unary expreesion, input=7334, op_id = 86A5ENbKR9, unary_op_definition = '⪸a = { (((220⪨≂51)⇼⇔∾(a⫡⨏303))⋷((a⨸⪁a)⋥≓≎(⨑⩽⪐a))) }', output=-124469","layer":3},{"info":"number node, value=2688","layer":4},{"info":"number node, value=7544","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=7544, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-124469, 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":"number node, value=2306","layer":4},{"info":"compute unary expreesion, input=2306, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-2033","layer":3},{"info":"compute unary expreesion, input=-2033, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, 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=1073","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1106, 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 = dwb5p0fa6d, unary_op_definition = 'a⊎←↗ = { (a⊭↱340) , if (a⪨≂940)!=203 ; (a⊭↱a) , else }', output=-1251","layer":2},{"info":"number node, value=3134","layer":4},{"info":"number node, value=3318","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=3318, op_id = JxwMv5le6e binary_op_definition= 'a⨼⩣b = { ((∐⩳⋚(b⩘a))⪛((∡129)⫥∨⫟(a⫲⨊))) }', output=nan","layer":3},{"info":"number node, value=3931","layer":4},{"info":"number node, value=7655","layer":4},{"info":"compute binary expreesion, left_input=3931, right_input=7655, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8178","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8178, 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=-1251, right_input=nan, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', 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":4,"result_base":4,"text":"(⪸⪩⨒∯1302212)⨜⨶(⪩⨒∯222000⨼⩣⪩⨒∯1311320)⩌⋺(⨈⪑(⩦⊞⪩⨒∯210002))/((⪩⨒∯100301⪛⫼⪩⨒∯101102)⊎←↗)≝⊿(⪩⨒∯300332⨼⩣⪩⨒∯303312⫡⨏⪩⨒∯331123⪮%⊝⪩⨒∯1313213)=NaN","reverse_text":"NaN=(⪸⪩⨒∯1302212)⨜⨶(⪩⨒∯222000⨼⩣⪩⨒∯1311320)⩌⋺(⨈⪑(⩦⊞⪩⨒∯210002))/((⪩⨒∯100301⪛⫼⪩⨒∯101102)⊎←↗)≝⊿(⪩⨒∯300332⨼⩣⪩⨒∯303312⫡⨏⪩⨒∯331123⪮%⊝⪩⨒∯1313213)","cot":[{"info":"⪸⪩⨒∯1302212=⪩⨒∯-132120311","layer":3},{"info":"⪩⨒∯222000⨼⩣⪩⨒∯1311320=NaN","layer":3},{"info":"⪩⨒∯-132120311⨜⨶NaN=NaN","layer":2},{"info":"⩦⊞⪩⨒∯210002=⪩⨒∯-133301","layer":3},{"info":"⨈⪑⪩⨒∯-133301=⪩⨒∯31210","layer":2},{"info":"NaN⩌⋺⪩⨒∯31210=NaN","layer":1},{"info":"⪩⨒∯100301⪛⫼⪩⨒∯101102=⪩⨒∯33020","layer":3},{"info":"⪩⨒∯33020⊎←↗=⪩⨒∯-103203","layer":2},{"info":"⪩⨒∯300332⨼⩣⪩⨒∯303312=NaN","layer":3},{"info":"⪩⨒∯331123⪮%⊝⪩⨒∯1313213=⪩⨒∯1333302","layer":3},{"info":"NaN⫡⨏⪩⨒∯1333302=NaN","layer":2},{"info":"⪩⨒∯-103203≝⊿NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":949,"expression_no_base_symbol":"(⇨(∥⊫($4305$⨘⋶⪀)))⊭↱(($2831$⩍⋽⫝̸$1228$⫚↹⊑$3675$∣$1106$)⨑≵⋬(⨆≐≲($2244$⇷$1618$)))","expression":"(⇨(∥⊫(⪩⨒∯1003101⨘⋶⪀)))⊭↱((⪩⨒∯230033⩍⋽⫝̸⪩⨒∯103030⫚↹⊑⪩⨒∯321123∣⪩⨒∯101102)⨑≵⋬(⨆≐≲(⪩⨒∯203010⇷⪩⨒∯121102)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31667,"operation_count":10,"complexity_ratio":3166.7,"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":4305,"base":4}}}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":2831,"base":4},"right_expr":{"type":"numeric_atoms","value":1228,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3675,"base":4},"right_expr":{"type":"numeric_atoms","value":1106,"base":4}}},"right_expr":{"type":"unary","operator":"⨆≐≲","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2244,"base":4},"right_expr":{"type":"numeric_atoms","value":1618,"base":4}}}}},"used_operators":["COABgblf1C","G9tJMlZ94a","P8v4zCKN1o","XVKwrhznBb","XnXgA4xnOs","dfKe02y8D2","BiWNJpBvwn","PPChnnnBFF","Bi9z9uYZqW","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj","Ph9nP6C5qx","xUOZtlo3hN","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","SWo3A1KBJH","SUmda5xLS4","bx9Z9DAK5y","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4305","layer":4},{"info":"compute unary expreesion, input=4305, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = G9tJMlZ94a, unary_op_definition = '⇨a = { (a%a) }', output=nan","layer":1},{"info":"number node, value=2831","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=2831, right_input=1228, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=282","layer":3},{"info":"number node, value=3675","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=1106, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3675","layer":3},{"info":"compute binary expreesion, left_input=282, right_input=3675, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":2},{"info":"number node, value=2244","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=2244, right_input=1618, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3236","layer":3},{"info":"compute unary expreesion, input=3236, op_id = Bi9z9uYZqW, unary_op_definition = '⨆≐≲a = { (⇋↷(⇾⩊⇾(a⪄a))) }', output=35081304","layer":2},{"info":"compute binary expreesion, left_input=-447, right_input=35081304, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-245569984","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-245569984, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⇨(∥⊫(⪩⨒∯1003101⨘⋶⪀)))⊭↱((⪩⨒∯230033⩍⋽⫝̸⪩⨒∯103030⫚↹⊑⪩⨒∯321123∣⪩⨒∯101102)⨑≵⋬(⨆≐≲(⪩⨒∯203010⇷⪩⨒∯121102)))=NaN","reverse_text":"NaN=(⇨(∥⊫(⪩⨒∯1003101⨘⋶⪀)))⊭↱((⪩⨒∯230033⩍⋽⫝̸⪩⨒∯103030⫚↹⊑⪩⨒∯321123∣⪩⨒∯101102)⨑≵⋬(⨆≐≲(⪩⨒∯203010⇷⪩⨒∯121102)))","cot":[{"info":"⪩⨒∯1003101⨘⋶⪀=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"⇨NaN=NaN","layer":1},{"info":"⪩⨒∯230033⩍⋽⫝̸⪩⨒∯103030=⪩⨒∯10122","layer":3},{"info":"⪩⨒∯321123∣⪩⨒∯101102=⪩⨒∯321123","layer":3},{"info":"⪩⨒∯10122⫚↹⊑⪩⨒∯321123=⪩⨒∯-12333","layer":2},{"info":"⪩⨒∯203010⇷⪩⨒∯121102=⪩⨒∯302210","layer":3},{"info":"⨆≐≲⪩⨒∯302210=⪩⨒∯2011310301120","layer":2},{"info":"⪩⨒∯-12333⨑≵⋬⪩⨒∯2011310301120=⪩⨒∯-32220301213000","layer":1},{"info":"NaN⊭↱⪩⨒∯-32220301213000=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"(($1760$⨐⩸⫘$4378$)∥⊢⊲($6957$⪘⫢$5371$)⋭≵($1054$∪⫐$1219$)∌↝($4753$⫸⊐$4338$))⊋≦⊧((⨝⨆$6461$)≳⇉$6936$⫗⊷⫓$1533$)⋛(↑($1035$⋷$2096$))","expression":"((⪩⨒∯123200⨐⩸⫘⪩⨒∯1010122)∥⊢⊲(⪩⨒∯1230231⪘⫢⪩⨒∯1103323)⋭≵(⪩⨒∯100132∪⫐⪩⨒∯103003)∌↝(⪩⨒∯1022101⫸⊐⪩⨒∯1003302))⊋≦⊧((⨝⨆⪩⨒∯1210331)≳⇉⪩⨒∯1230120⫗⊷⫓⪩⨒∯113331)⋛(↑(⪩⨒∯100023⋷⪩⨒∯200300))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1500541,"operation_count":14,"complexity_ratio":107181.5,"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":1760,"base":4},"right_expr":{"type":"numeric_atoms","value":4378,"base":4}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6957,"base":4},"right_expr":{"type":"numeric_atoms","value":5371,"base":4}}},"right_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":1054,"base":4},"right_expr":{"type":"numeric_atoms","value":1219,"base":4}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4753,"base":4},"right_expr":{"type":"numeric_atoms","value":4338,"base":4}}}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"numeric_atoms","value":6461,"base":4}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":6936,"base":4},"right_expr":{"type":"numeric_atoms","value":1533,"base":4}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1035,"base":4},"right_expr":{"type":"numeric_atoms","value":2096,"base":4}}}}},"used_operators":["oRDoc9rAEX","jBncVCNhdl","v1UQAVDJRr","fu6greOZ01","oacrs7FA3X","9Isq31Ruls","7YooWSwCyH","mqXw5SEYmG","YbUVn0Rbpy","V0kx6qeWkN","bQ67fsrMVf","zashukvMKz","tR7O2zTn5j","23Mk6UjR3U"],"dependent_operators":["DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","EBcxylXtPf","rGHVDoGpnC","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","rJVOvQCfKK","2DDjHMKMc0","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","tifHPKVTfV","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯3000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1760","layer":4},{"info":"number node, value=4378","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=4378, 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=6957","layer":4},{"info":"number node, value=5371","layer":4},{"info":"compute binary expreesion, left_input=6957, right_input=5371, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13790","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13790, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=13790","layer":2},{"info":"number node, value=1054","layer":4},{"info":"number node, value=1219","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=1219, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=1054","layer":3},{"info":"number node, value=4753","layer":4},{"info":"number node, value=4338","layer":4},{"info":"compute binary expreesion, left_input=4753, right_input=4338, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17227","layer":3},{"info":"compute binary expreesion, left_input=1054, right_input=17227, 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=13790, right_input=0, 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=6461","layer":4},{"info":"compute unary expreesion, input=6461, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=6252","layer":3},{"info":"number node, value=6936","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=6936, right_input=1533, 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=6252, 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":2},{"info":"number node, value=1035","layer":4},{"info":"number node, value=2096","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=2096, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3157","layer":3},{"info":"compute unary expreesion, input=3157, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=192","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=192, 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=67, 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=192","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯123200⨐⩸⫘⪩⨒∯1010122)∥⊢⊲(⪩⨒∯1230231⪘⫢⪩⨒∯1103323)⋭≵(⪩⨒∯100132∪⫐⪩⨒∯103003)∌↝(⪩⨒∯1022101⫸⊐⪩⨒∯1003302))⊋≦⊧((⨝⨆⪩⨒∯1210331)≳⇉⪩⨒∯1230120⫗⊷⫓⪩⨒∯113331)⋛(↑(⪩⨒∯100023⋷⪩⨒∯200300))=⪩⨒∯3000","reverse_text":"⪩⨒∯3000=((⪩⨒∯123200⨐⩸⫘⪩⨒∯1010122)∥⊢⊲(⪩⨒∯1230231⪘⫢⪩⨒∯1103323)⋭≵(⪩⨒∯100132∪⫐⪩⨒∯103003)∌↝(⪩⨒∯1022101⫸⊐⪩⨒∯1003302))⊋≦⊧((⨝⨆⪩⨒∯1210331)≳⇉⪩⨒∯1230120⫗⊷⫓⪩⨒∯113331)⋛(↑(⪩⨒∯100023⋷⪩⨒∯200300))","cot":[{"info":"⪩⨒∯123200⨐⩸⫘⪩⨒∯1010122=NaN","layer":3},{"info":"⪩⨒∯1230231⪘⫢⪩⨒∯1103323=⪩⨒∯3113132","layer":3},{"info":"NaN∥⊢⊲⪩⨒∯3113132=⪩⨒∯3113132","layer":2},{"info":"⪩⨒∯100132∪⫐⪩⨒∯103003=⪩⨒∯100132","layer":3},{"info":"⪩⨒∯1022101⫸⊐⪩⨒∯1003302=⪩⨒∯10031023","layer":3},{"info":"⪩⨒∯100132∌↝⪩⨒∯10031023=⪩⨒∯0","layer":2},{"info":"⪩⨒∯3113132⋭≵⪩⨒∯0=⪩⨒∯1003","layer":1},{"info":"⨝⨆⪩⨒∯1210331=⪩⨒∯1201230","layer":3},{"info":"⪩⨒∯1230120⫗⊷⫓⪩⨒∯113331=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯1201230≳⇉⪩⨒∯-2012=NaN","layer":2},{"info":"⪩⨒∯100023⋷⪩⨒∯200300=⪩⨒∯301111","layer":3},{"info":"↑⪩⨒∯301111=⪩⨒∯3000","layer":2},{"info":"NaN⋛⪩⨒∯3000=NaN","layer":1},{"info":"⪩⨒∯1003⊋≦⊧NaN=⪩⨒∯3000","layer":0}]}
{"id":951,"expression_no_base_symbol":"((⨙⪌(⪛⨧$4184$))⩺⪪$1630$→⨶⪴$3098$≃$3154$⇂≾⫗$4009$)⋅⇍((↯⪼$1552$⨜⨶$3328$)⫸⊐($1786$∇⊂⋱$2973$)↹⊜(↘$5486$))","expression":"((⨙⪌(⪛⨧⪩⨒∯1001120))⩺⪪⪩⨒∯121132→⨶⪴⪩⨒∯300122≃⪩⨒∯301102⇂≾⫗⪩⨒∯332221)⋅⇍((↯⪼⪩⨒∯120100⨜⨶⪩⨒∯310000)⫸⊐(⪩⨒∯123322∇⊂⋱⪩⨒∯232131)↹⊜(↘⪩⨒∯1111232))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1241,"operation_count":13,"complexity_ratio":95.46153846153847,"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":4184,"base":4}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":1630,"base":4},"right_expr":{"type":"numeric_atoms","value":3098,"base":4}},"right_expr":{"type":"binary","operator":"⇂≾⫗","left_expr":{"type":"numeric_atoms","value":3154,"base":4},"right_expr":{"type":"numeric_atoms","value":4009,"base":4}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨜⨶","left_expr":{"type":"numeric_atoms","value":1552,"base":4},"right_expr":{"type":"numeric_atoms","value":3328,"base":4}}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"binary","operator":"∇⊂⋱","left_expr":{"type":"numeric_atoms","value":1786,"base":4},"right_expr":{"type":"numeric_atoms","value":2973,"base":4}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"numeric_atoms","value":5486,"base":4}}}}},"used_operators":["AdZkA7nFnk","uvdQJvN4PV","vEGLkm4Z2k","6NJAcO2OWT","YbVcJGFEVW","bF6eod5Gvf","aBQ6xLxuTc","mqXw5SEYmG","8jW3W4yZS5","HiPekx5b7W","9bazX3JMtO","nhYeJWJD5X","LdNpr8hQHL"],"dependent_operators":["g55IO6H4Gj","NTOWxs364D","eLAdDNolq6","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","8w2t5hMYqp","9FxExcQeMw","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","uFcxV4UQCh"],"result":"⪩⨒∯-112","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4184","layer":4},{"info":"compute unary expreesion, input=4184, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=9769","layer":3},{"info":"compute unary expreesion, input=9769, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":2},{"info":"number node, value=1630","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=1630, right_input=3098, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-9294","layer":3},{"info":"number node, value=3154","layer":4},{"info":"number node, value=4009","layer":4},{"info":"compute binary expreesion, left_input=3154, right_input=4009, op_id = aBQ6xLxuTc binary_op_definition= 'a⇂≾⫗b = { (((b⩌⋺a)⩨(↔b))⪚((a⊨b)∺≝⩲b)) }', output=-676","layer":3},{"info":"compute binary expreesion, left_input=-9294, right_input=-676, 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=2664","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=2664, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-1818","layer":1},{"info":"number node, value=1552","layer":4},{"info":"number node, value=3328","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=3328, 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=-6400","layer":3},{"info":"compute unary expreesion, input=-6400, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=11883","layer":2},{"info":"number node, value=1786","layer":4},{"info":"number node, value=2973","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=2973, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=3026","layer":3},{"info":"number node, value=5486","layer":4},{"info":"compute unary expreesion, input=5486, op_id = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=390","layer":3},{"info":"compute binary expreesion, left_input=3026, right_input=390, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=4396","layer":2},{"info":"compute binary expreesion, left_input=11883, right_input=4396, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17459","layer":1},{"info":"compute binary expreesion, left_input=-1818, right_input=17459, op_id = AdZkA7nFnk binary_op_definition= 'a⋅⇍b = { (≤/506) , if (b⨸⪁793)>81 ; (a⩚⊴⇥452) , else }', output=-22","layer":0}],"base":4,"result_base":4,"text":"((⨙⪌(⪛⨧⪩⨒∯1001120))⩺⪪⪩⨒∯121132→⨶⪴⪩⨒∯300122≃⪩⨒∯301102⇂≾⫗⪩⨒∯332221)⋅⇍((↯⪼⪩⨒∯120100⨜⨶⪩⨒∯310000)⫸⊐(⪩⨒∯123322∇⊂⋱⪩⨒∯232131)↹⊜(↘⪩⨒∯1111232))=⪩⨒∯-112","reverse_text":"⪩⨒∯-112=((⨙⪌(⪛⨧⪩⨒∯1001120))⩺⪪⪩⨒∯121132→⨶⪴⪩⨒∯300122≃⪩⨒∯301102⇂≾⫗⪩⨒∯332221)⋅⇍((↯⪼⪩⨒∯120100⨜⨶⪩⨒∯310000)⫸⊐(⪩⨒∯123322∇⊂⋱⪩⨒∯232131)↹⊜(↘⪩⨒∯1111232))","cot":[{"info":"⪛⨧⪩⨒∯1001120=⪩⨒∯2120221","layer":3},{"info":"⨙⪌⪩⨒∯2120221=⪩⨒∯31210","layer":2},{"info":"⪩⨒∯121132→⨶⪴⪩⨒∯300122=⪩⨒∯-2101032","layer":3},{"info":"⪩⨒∯301102⇂≾⫗⪩⨒∯332221=⪩⨒∯-22210","layer":3},{"info":"⪩⨒∯-2101032≃⪩⨒∯-22210=⪩⨒∯221220","layer":2},{"info":"⪩⨒∯31210⩺⪪⪩⨒∯221220=⪩⨒∯-130122","layer":1},{"info":"⪩⨒∯120100⨜⨶⪩⨒∯310000=⪩⨒∯-1210000","layer":3},{"info":"↯⪼⪩⨒∯-1210000=⪩⨒∯2321223","layer":2},{"info":"⪩⨒∯123322∇⊂⋱⪩⨒∯232131=⪩⨒∯233102","layer":3},{"info":"↘⪩⨒∯1111232=⪩⨒∯12012","layer":3},{"info":"⪩⨒∯233102↹⊜⪩⨒∯12012=⪩⨒∯1010230","layer":2},{"info":"⪩⨒∯2321223⫸⊐⪩⨒∯1010230=⪩⨒∯10100303","layer":1},{"info":"⪩⨒∯-130122⋅⇍⪩⨒∯10100303=⪩⨒∯-112","layer":0}]}
{"id":952,"expression_no_base_symbol":"($1018$⪚$2207$≎⊠⪸($1843$⨑≵⋬$6699$))∊∟⩊(($5072$≥⨤⩑$1406$)⊱⇼⊻($1270$≠≀$3792$))∝(⪭⩑⪱(⊄⩳↩($5197$⊴⇁⪶)))","expression":"(⪩⨒∯33322⪚⪩⨒∯202133≎⊠⪸(⪩⨒∯130303⨑≵⋬⪩⨒∯1220223))∊∟⩊((⪩⨒∯1033100≥⨤⩑⪩⨒∯111332)⊱⇼⊻(⪩⨒∯103312≠≀⪩⨒∯323100))∝(⪭⩑⪱(⊄⩳↩(⪩⨒∯1101031⊴⇁⪶)))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":969144,"operation_count":11,"complexity_ratio":88104.0,"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":1018,"base":4},"right_expr":{"type":"numeric_atoms","value":2207,"base":4}},"right_expr":{"type":"binary","operator":"⨑≵⋬","left_expr":{"type":"numeric_atoms","value":1843,"base":4},"right_expr":{"type":"numeric_atoms","value":6699,"base":4}}},"right_expr":{"type":"binary","operator":"⊱⇼⊻","left_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":5072,"base":4},"right_expr":{"type":"numeric_atoms","value":1406,"base":4}},"right_expr":{"type":"binary","operator":"≠≀","left_expr":{"type":"numeric_atoms","value":1270,"base":4},"right_expr":{"type":"numeric_atoms","value":3792,"base":4}}}},"right_expr":{"type":"unary","operator":"⪭⩑⪱","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊴⇁⪶","unary_expr":{"type":"numeric_atoms","value":5197,"base":4}}}}},"used_operators":["cTDWOvIxvz","ddLRYrp01A","bJkvcejdHO","HrjLwUk87U","XnXgA4xnOs","FyVja0WsTP","gJLn6v0xnP","IwW236VD4Y","SIgE0bArFf","8w2t5hMYqp","oo9mF6JIpo"],"dependent_operators":["7j4O788W3g","W4YGzv6Whe","COABgblf1C","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","eewbuw0ToL","AF7qkfDlqP","QMFrweE19q","W4YGzv6Whe","Qy55tPpLXF","23Mk6UjR3U","eH2TOUuTDT","EBcxylXtPf","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","eLAdDNolq6","NTOWxs364D","sdazOOVcIp","2DDjHMKMc0","2td37pGCOC","FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","L05ObWFQCd","oacrs7FA3X","2Wsdkap16l","zR4jO40bMj","HrjLwUk87U","YSKBFp38Pu","cHh1gJQ2o6","tmPS8pqC7x","YbVcJGFEVW","12rbrZMWeM","DmTXOeWf9t","RhiyfpczSx","uOZ1tnYMDE"],"result":"⪩⨒∯1320333","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1018","layer":4},{"info":"number node, value=2207","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=2207, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=-2734","layer":3},{"info":"number node, value=1843","layer":4},{"info":"number node, value=6699","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=6699, op_id = XnXgA4xnOs binary_op_definition= 'a⨑≵⋬b = { ((a⨰b)⫡⨏(⨑⩽⪐b)) }', output=-36299","layer":3},{"info":"compute binary expreesion, left_input=-2734, right_input=-36299, 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=5072","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=5072, right_input=1406, op_id = gJLn6v0xnP binary_op_definition= 'a≥⨤⩑b = { (b⇷a) , if (b⪘⨀)>356 ; (702∠⫱488) , else }', output=1234","layer":3},{"info":"number node, value=1270","layer":4},{"info":"number node, value=3792","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=3792, op_id = IwW236VD4Y binary_op_definition= 'a≠≀b = { (⩦⩻⨪(a⩚⊴⇥b)) , if (≤/b)>10 ; ((a⪨≂a)⪨≂(a⋝⋈⪟356)) , else }', output=-2234","layer":3},{"info":"compute binary expreesion, left_input=1234, right_input=-2234, op_id = FyVja0WsTP binary_op_definition= 'a⊱⇼⊻b = { ((a⫌⩹⨱)⪐) , if b<551 ; ((135⋥≓≎a)⋷(166+a)) , else }', output=7738","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=7738, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=7738","layer":1},{"info":"number node, value=5197","layer":4},{"info":"compute unary expreesion, input=5197, 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=106656","layer":3},{"info":"compute unary expreesion, input=106656, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-319968","layer":2},{"info":"compute unary expreesion, input=-319968, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":1},{"info":"compute binary expreesion, left_input=7738, right_input=8320752, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=7743","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯33322⪚⪩⨒∯202133≎⊠⪸(⪩⨒∯130303⨑≵⋬⪩⨒∯1220223))∊∟⩊((⪩⨒∯1033100≥⨤⩑⪩⨒∯111332)⊱⇼⊻(⪩⨒∯103312≠≀⪩⨒∯323100))∝(⪭⩑⪱(⊄⩳↩(⪩⨒∯1101031⊴⇁⪶)))=⪩⨒∯1320333","reverse_text":"⪩⨒∯1320333=(⪩⨒∯33322⪚⪩⨒∯202133≎⊠⪸(⪩⨒∯130303⨑≵⋬⪩⨒∯1220223))∊∟⩊((⪩⨒∯1033100≥⨤⩑⪩⨒∯111332)⊱⇼⊻(⪩⨒∯103312≠≀⪩⨒∯323100))∝(⪭⩑⪱(⊄⩳↩(⪩⨒∯1101031⊴⇁⪶)))","cot":[{"info":"⪩⨒∯33322⪚⪩⨒∯202133=⪩⨒∯-222232","layer":3},{"info":"⪩⨒∯130303⨑≵⋬⪩⨒∯1220223=⪩⨒∯-20313023","layer":3},{"info":"⪩⨒∯-222232≎⊠⪸⪩⨒∯-20313023=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯1033100≥⨤⩑⪩⨒∯111332=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯103312≠≀⪩⨒∯323100=⪩⨒∯-202322","layer":3},{"info":"⪩⨒∯103102⊱⇼⊻⪩⨒∯-202322=⪩⨒∯1320322","layer":2},{"info":"⪩⨒∯1003∊∟⩊⪩⨒∯1320322=⪩⨒∯1320322","layer":1},{"info":"⪩⨒∯1101031⊴⇁⪶=⪩⨒∯122002200","layer":3},{"info":"⊄⩳↩⪩⨒∯122002200=⪩⨒∯-1032013200","layer":2},{"info":"⪭⩑⪱⪩⨒∯-1032013200=⪩⨒∯133233123300","layer":1},{"info":"⪩⨒∯1320322∝⪩⨒∯133233123300=⪩⨒∯1320333","layer":0}]}
{"id":953,"expression_no_base_symbol":"($2175$⇻⋧≁$3185$≎⊠⪸(⇈$2945$)∝($1114$⨓$2460$⫸⊐$2145$≥⨤⩑$1201$))⫍⨯↯","expression":"(⪩⨒∯201333⇻⋧≁⪩⨒∯301301≎⊠⪸(⇈⪩⨒∯232001)∝(⪩⨒∯101122⨓⪩⨒∯212130⫸⊐⪩⨒∯201201≥⨤⩑⪩⨒∯102301))⫍⨯↯","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5727,"operation_count":8,"complexity_ratio":715.875,"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":2175,"base":4},"right_expr":{"type":"numeric_atoms","value":3185,"base":4}},"right_expr":{"type":"unary","operator":"⇈","unary_expr":{"type":"numeric_atoms","value":2945,"base":4}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1114,"base":4},"right_expr":{"type":"numeric_atoms","value":2460,"base":4}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"numeric_atoms","value":2145,"base":4},"right_expr":{"type":"numeric_atoms","value":1201,"base":4}}}}},"used_operators":["ZcwmYACASQ","cTDWOvIxvz","bJkvcejdHO","jCPkEVoL5K","SLLxy00UIr","mqXw5SEYmG","3ViojmjbAp","gJLn6v0xnP"],"dependent_operators":["23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","7j4O788W3g","W4YGzv6Whe","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","Qy55tPpLXF","DZ8iAZOCBD","tifHPKVTfV","Tw270M8GLb","8HhzD0ZcuI","jCPkEVoL5K","ZcwmYACASQ","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE"],"result":"⪩⨒∯-3102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2175","layer":4},{"info":"number node, value=3185","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=3185, 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=2945","layer":4},{"info":"compute unary expreesion, input=2945, op_id = SLLxy00UIr, unary_op_definition = '⇈a = { (((⨰⫟⨤60)⋥≓≎(a⫍⨯↯))⇻⋧≁((a⇼⇔∾a)⨽(323⊉≛↸a))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-447, right_input=-447, 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=1114","layer":4},{"info":"number node, value=2460","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=2460, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2463","layer":3},{"info":"number node, value=2145","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=2145, right_input=1201, 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=-2463, right_input=1234, 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=67, right_input=968, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=72","layer":1},{"info":"compute unary expreesion, input=72, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=-210","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯201333⇻⋧≁⪩⨒∯301301≎⊠⪸(⇈⪩⨒∯232001)∝(⪩⨒∯101122⨓⪩⨒∯212130⫸⊐⪩⨒∯201201≥⨤⩑⪩⨒∯102301))⫍⨯↯=⪩⨒∯-3102","reverse_text":"⪩⨒∯-3102=(⪩⨒∯201333⇻⋧≁⪩⨒∯301301≎⊠⪸(⇈⪩⨒∯232001)∝(⪩⨒∯101122⨓⪩⨒∯212130⫸⊐⪩⨒∯201201≥⨤⩑⪩⨒∯102301))⫍⨯↯","cot":[{"info":"⪩⨒∯201333⇻⋧≁⪩⨒∯301301=⪩⨒∯-12333","layer":3},{"info":"⇈⪩⨒∯232001=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯-12333≎⊠⪸⪩⨒∯-12333=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯101122⨓⪩⨒∯212130=⪩⨒∯-212133","layer":3},{"info":"⪩⨒∯201201≥⨤⩑⪩⨒∯102301=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-212133⫸⊐⪩⨒∯103102=⪩⨒∯33020","layer":2},{"info":"⪩⨒∯1003∝⪩⨒∯33020=⪩⨒∯1020","layer":1},{"info":"⪩⨒∯1020⫍⨯↯=⪩⨒∯-3102","layer":0}]}
{"id":954,"expression_no_base_symbol":"((↩⪖($3476$⇣⩺⋵$4419$))∠↢$2065$⫗⊷⫓$1052$⩘($1140$⫌⩉⩟$3564$))⪛⫼($7414$⨎$1352$⨳⩥⨓$2122$⪢$5939$)⪕(($4011$⫲≸⪮$1301$)≃⋄)","expression":"((↩⪖(⪩⨒∯312110⇣⩺⋵⪩⨒∯1011003))∠↢⪩⨒∯200101⫗⊷⫓⪩⨒∯100130⩘(⪩⨒∯101310⫌⩉⩟⪩⨒∯313230))⪛⫼(⪩⨒∯1303312⨎⪩⨒∯111020⨳⩥⨓⪩⨒∯201022⪢⪩⨒∯1130303)⪕((⪩⨒∯332223⫲≸⪮⪩⨒∯110111)≃⋄)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":845025,"operation_count":13,"complexity_ratio":65001.92307692308,"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":3476,"base":4},"right_expr":{"type":"numeric_atoms","value":4419,"base":4}}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2065,"base":4},"right_expr":{"type":"numeric_atoms","value":1052,"base":4}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1140,"base":4},"right_expr":{"type":"numeric_atoms","value":3564,"base":4}}}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7414,"base":4},"right_expr":{"type":"numeric_atoms","value":1352,"base":4}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2122,"base":4},"right_expr":{"type":"numeric_atoms","value":5939,"base":4}}},"right_expr":{"type":"unary","operator":"≃⋄","unary_expr":{"type":"binary","operator":"⫲≸⪮","left_expr":{"type":"numeric_atoms","value":4011,"base":4},"right_expr":{"type":"numeric_atoms","value":1301,"base":4}}}}},"used_operators":["hyuBjUqXlG","KbjG8mgYpV","fG6uBQFnGz","F4yD0voBRQ","cHh1gJQ2o6","zashukvMKz","XIIwhv8d0m","umQnsF7QlU","nCS4ZIUYfx","rJVOvQCfKK","dWAJyo7jo9","aN9a90urxU","P3lXMJvFrc"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","uFcxV4UQCh","jLgFTUHLKL","tmPS8pqC7x","oWn0xqSxBt","DbCuESL50I"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3476","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=3476, right_input=4419, 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 = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=1446","layer":2},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1052, 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=1140","layer":4},{"info":"number node, value=3564","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=3564, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-50, 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=1446, right_input=160, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-6942","layer":1},{"info":"number node, value=7414","layer":4},{"info":"number node, value=1352","layer":4},{"info":"compute binary expreesion, left_input=7414, right_input=1352, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1352","layer":3},{"info":"number node, value=2122","layer":4},{"info":"number node, value=5939","layer":4},{"info":"compute binary expreesion, left_input=2122, right_input=5939, 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=1352, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=4011","layer":4},{"info":"number node, value=1301","layer":4},{"info":"compute binary expreesion, left_input=4011, right_input=1301, op_id = P3lXMJvFrc binary_op_definition= 'a⫲≸⪮b = { (⋼∭⪍a) , if (⊙↵-b)>333 ; (a⨪↰⇹b) , else }', output=4011","layer":3},{"info":"compute unary expreesion, input=4011, op_id = aN9a90urxU, unary_op_definition = 'a≃⋄ = { (↩(252⪛a)) }', output=764","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=764, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6942, 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":0}],"base":4,"result_base":4,"text":"((↩⪖(⪩⨒∯312110⇣⩺⋵⪩⨒∯1011003))∠↢⪩⨒∯200101⫗⊷⫓⪩⨒∯100130⩘(⪩⨒∯101310⫌⩉⩟⪩⨒∯313230))⪛⫼(⪩⨒∯1303312⨎⪩⨒∯111020⨳⩥⨓⪩⨒∯201022⪢⪩⨒∯1130303)⪕((⪩⨒∯332223⫲≸⪮⪩⨒∯110111)≃⋄)=NaN","reverse_text":"NaN=((↩⪖(⪩⨒∯312110⇣⩺⋵⪩⨒∯1011003))∠↢⪩⨒∯200101⫗⊷⫓⪩⨒∯100130⩘(⪩⨒∯101310⫌⩉⩟⪩⨒∯313230))⪛⫼(⪩⨒∯1303312⨎⪩⨒∯111020⨳⩥⨓⪩⨒∯201022⪢⪩⨒∯1130303)⪕((⪩⨒∯332223⫲≸⪮⪩⨒∯110111)≃⋄)","cot":[{"info":"⪩⨒∯312110⇣⩺⋵⪩⨒∯1011003=⪩⨒∯-10010","layer":3},{"info":"↩⪖⪩⨒∯-10010=⪩⨒∯112212","layer":2},{"info":"⪩⨒∯200101⫗⊷⫓⪩⨒∯100130=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯101310⫌⩉⩟⪩⨒∯313230=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯-2012⩘⪩⨒∯-302=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯112212∠↢⪩⨒∯2200=⪩⨒∯-1230132","layer":1},{"info":"⪩⨒∯1303312⨎⪩⨒∯111020=⪩⨒∯111020","layer":3},{"info":"⪩⨒∯201022⪢⪩⨒∯1130303=NaN","layer":3},{"info":"⪩⨒∯111020⨳⩥⨓NaN=NaN","layer":2},{"info":"⪩⨒∯332223⫲≸⪮⪩⨒∯110111=⪩⨒∯332223","layer":3},{"info":"⪩⨒∯332223≃⋄=⪩⨒∯23330","layer":2},{"info":"NaN⪕⪩⨒∯23330=NaN","layer":1},{"info":"⪩⨒∯-1230132⪛⫼NaN=NaN","layer":0}]}
{"id":955,"expression_no_base_symbol":"((($5906$⊫∞)⩨$4258$⊝⪿⪼$8529$)⫰⋱($2840$∝$1062$)⨽∌($7849$≁$1688$))≎⊠⪸(($1055$⨫⇇↔$2839$⋷$1039$⪃⊛⇣$3266$)⇄((⫯$1566$)≃$5368$⫗⊷⫓$1146$))","expression":"(((⪩⨒∯1130102⊫∞)⩨⪩⨒∯1002202⊝⪿⪼⪩⨒∯2011101)⫰⋱(⪩⨒∯230120∝⪩⨒∯100212)⨽∌(⪩⨒∯1322221≁⪩⨒∯122120))≎⊠⪸((⪩⨒∯100133⨫⇇↔⪩⨒∯230113⋷⪩⨒∯100033⪃⊛⇣⪩⨒∯303002)⇄((⫯⪩⨒∯120132)≃⪩⨒∯1103320⫗⊷⫓⪩⨒∯101322))","highest_n_order":5,"priority_hierarchical_complexity":13,"normalized_expansion_degree":913731,"operation_count":15,"complexity_ratio":60915.4,"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":5906,"base":4}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"numeric_atoms","value":4258,"base":4},"right_expr":{"type":"numeric_atoms","value":8529,"base":4}}},"right_expr":{"type":"binary","operator":"⨽∌","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":2840,"base":4},"right_expr":{"type":"numeric_atoms","value":1062,"base":4}},"right_expr":{"type":"binary","operator":"≁","left_expr":{"type":"numeric_atoms","value":7849,"base":4},"right_expr":{"type":"numeric_atoms","value":1688,"base":4}}}},"right_expr":{"type":"binary","operator":"⇄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨫⇇↔","left_expr":{"type":"numeric_atoms","value":1055,"base":4},"right_expr":{"type":"numeric_atoms","value":2839,"base":4}},"right_expr":{"type":"binary","operator":"⪃⊛⇣","left_expr":{"type":"numeric_atoms","value":1039,"base":4},"right_expr":{"type":"numeric_atoms","value":3266,"base":4}}},"right_expr":{"type":"binary","operator":"≃","left_expr":{"type":"unary","operator":"⫯","unary_expr":{"type":"numeric_atoms","value":1566,"base":4}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5368,"base":4},"right_expr":{"type":"numeric_atoms","value":1146,"base":4}}}}},"used_operators":["bJkvcejdHO","6o9Blt3TJ6","2DlMacCsIx","pABnYW3G3E","3Oe9XWJUTD","9samAPKr6k","cTDWOvIxvz","8N2wDY1A35","3EYGwJThht","23Mk6UjR3U","LXhwmt4mBO","rrgAzCduG9","YbVcJGFEVW","H6BK1Evt7c","zashukvMKz"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","fu6greOZ01","3sJ7IOPOlU","7YooWSwCyH","ivGwdmUAux","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","YjI8oCXuph","9ICcGScMcE","3sJ7IOPOlU","Ph9nP6C5qx","IWmyXbctLI","YSKBFp38Pu","7j4O788W3g","W4YGzv6Whe","COABgblf1C","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","t8gj7n24qd","d7ASUq0ydm","DZ8iAZOCBD","rJVOvQCfKK","Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","9FxExcQeMw","Qy55tPpLXF","23Mk6UjR3U","JLbD19bQDL","7j4O788W3g","glklzrTFfD","tifHPKVTfV","t8gj7n24qd","i8ToyICDmI","COABgblf1C","2Wsdkap16l","KbjG8mgYpV","sJAwomhLZr","Ph9nP6C5qx","AYdpE9sXAk","X99M06cbEe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5906","layer":4},{"info":"compute unary expreesion, input=5906, op_id = pABnYW3G3E, unary_op_definition = 'a⊫∞ = { ((a⨐⩸⫘149)⪇≇⋚(a∪⫐a)) , if (⫵↿a)>=80 ; a , else }', output=0","layer":3},{"info":"number node, value=4258","layer":4},{"info":"number node, value=8529","layer":4},{"info":"compute binary expreesion, left_input=4258, right_input=8529, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=73802","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=73802, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=2840","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=2840, right_input=1062, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2845","layer":3},{"info":"number node, value=7849","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=7849, right_input=1688, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=27311","layer":3},{"info":"compute binary expreesion, left_input=2845, right_input=27311, op_id = 9samAPKr6k binary_op_definition= 'a⨽∌b = { ((≦∁(b⪮%⊝b))⪇≇⋚((b⇤a)≧⫂∧(⫇a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=nan","layer":1},{"info":"number node, value=1055","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=2839, op_id = LXhwmt4mBO binary_op_definition= 'a⨫⇇↔b = { ((9⊉≛↸b)⫯⪬∳(a⨎a)) }', output=-527","layer":3},{"info":"number node, value=1039","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=3266, 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=-527, right_input=1234, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1054","layer":2},{"info":"number node, value=1566","layer":4},{"info":"compute unary expreesion, input=1566, op_id = H6BK1Evt7c, unary_op_definition = '⫯a = { ((a⩠)∠↢(⨂⪏⇭a)) , if (a≧⫂∧919)>20 ; ((a⩹a)≫≃) , else }', output=-50984","layer":3},{"info":"number node, value=5368","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=5368, right_input=1146, 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=-50984, right_input=-134, 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=496","layer":2},{"info":"compute binary expreesion, left_input=1054, right_input=496, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯1130102⊫∞)⩨⪩⨒∯1002202⊝⪿⪼⪩⨒∯2011101)⫰⋱(⪩⨒∯230120∝⪩⨒∯100212)⨽∌(⪩⨒∯1322221≁⪩⨒∯122120))≎⊠⪸((⪩⨒∯100133⨫⇇↔⪩⨒∯230113⋷⪩⨒∯100033⪃⊛⇣⪩⨒∯303002)⇄((⫯⪩⨒∯120132)≃⪩⨒∯1103320⫗⊷⫓⪩⨒∯101322))=NaN","reverse_text":"NaN=(((⪩⨒∯1130102⊫∞)⩨⪩⨒∯1002202⊝⪿⪼⪩⨒∯2011101)⫰⋱(⪩⨒∯230120∝⪩⨒∯100212)⨽∌(⪩⨒∯1322221≁⪩⨒∯122120))≎⊠⪸((⪩⨒∯100133⨫⇇↔⪩⨒∯230113⋷⪩⨒∯100033⪃⊛⇣⪩⨒∯303002)⇄((⫯⪩⨒∯120132)≃⪩⨒∯1103320⫗⊷⫓⪩⨒∯101322))","cot":[{"info":"⪩⨒∯1130102⊫∞=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1002202⊝⪿⪼⪩⨒∯2011101=⪩⨒∯102001022","layer":3},{"info":"⪩⨒∯0⩨⪩⨒∯102001022=NaN","layer":2},{"info":"⪩⨒∯230120∝⪩⨒∯100212=⪩⨒∯230131","layer":3},{"info":"⪩⨒∯1322221≁⪩⨒∯122120=⪩⨒∯12222233","layer":3},{"info":"⪩⨒∯230131⨽∌⪩⨒∯12222233=⪩⨒∯0","layer":2},{"info":"NaN⫰⋱⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯100133⨫⇇↔⪩⨒∯230113=⪩⨒∯-20033","layer":3},{"info":"⪩⨒∯100033⪃⊛⇣⪩⨒∯303002=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-20033⋷⪩⨒∯103102=⪩⨒∯100132","layer":2},{"info":"⫯⪩⨒∯120132=⪩⨒∯-30130220","layer":3},{"info":"⪩⨒∯1103320⫗⊷⫓⪩⨒∯101322=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯-30130220≃⪩⨒∯-2012=⪩⨒∯13300","layer":2},{"info":"⪩⨒∯100132⇄⪩⨒∯13300=⪩⨒∯0","layer":1},{"info":"NaN≎⊠⪸⪩⨒∯0=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"⪨⨬(⨝⨆(⫟(↥≼⋛$2119$)))","expression":"⪨⨬(⨝⨆(⫟(↥≼⋛⪩⨒∯201013)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":69,"operation_count":4,"complexity_ratio":17.25,"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":2119,"base":4}}}}},"used_operators":["5obUd6DV38","bQ67fsrMVf","z4E1FaHLuy","x5lMkHmzsq"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","tifHPKVTfV","9FxExcQeMw","W4YGzv6Whe","Qy55tPpLXF","BjRHVeLaeN","sdazOOVcIp","Ph9nP6C5qx","t8gj7n24qd","EBcxylXtPf","f6k1SAg4EE","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"⪩⨒∯-20032","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2119","layer":4},{"info":"compute unary expreesion, input=2119, 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 = z4E1FaHLuy, unary_op_definition = '⫟a = { (((-a)⪨≂(a⨸⪁a))≧⫂∧((a⩷∴a)⨰(a⫡⨏a))) , if (a⫌⩹⨱)>=11 ; (((a+263)⋝⋈⪟(a⨳⩥⨓a))⪒((a⋥≓≎a)⫩⊇)) , else }', output=-487","layer":2},{"info":"compute unary expreesion, input=-487, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=-696","layer":1},{"info":"compute unary expreesion, input=-696, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":0}],"base":4,"result_base":4,"text":"⪨⨬(⨝⨆(⫟(↥≼⋛⪩⨒∯201013)))=⪩⨒∯-20032","reverse_text":"⪩⨒∯-20032=⪨⨬(⨝⨆(⫟(↥≼⋛⪩⨒∯201013)))","cot":[{"info":"↥≼⋛⪩⨒∯201013=⪩⨒∯-1301","layer":3},{"info":"⫟⪩⨒∯-1301=⪩⨒∯-13213","layer":2},{"info":"⨝⨆⪩⨒∯-13213=⪩⨒∯-22320","layer":1},{"info":"⪨⨬⪩⨒∯-22320=⪩⨒∯-20032","layer":0}]}
{"id":957,"expression_no_base_symbol":"((⨙⪌$1206$)⋛$3479$⊢$1650$⊬⫿⊭)≌(($1256$⨐$3793$⇩)⩤)","expression":"((⨙⪌⪩⨒∯102312)⋛⪩⨒∯312113⊢⪩⨒∯121302⊬⫿⊭)≌((⪩⨒∯103220⨐⪩⨒∯323101⇩)⩤)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3568,"operation_count":8,"complexity_ratio":446.0,"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":1206,"base":4}},"right_expr":{"type":"binary","operator":"⊢","left_expr":{"type":"numeric_atoms","value":3479,"base":4},"right_expr":{"type":"numeric_atoms","value":1650,"base":4}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⇩","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1256,"base":4},"right_expr":{"type":"numeric_atoms","value":3793,"base":4}}}}},"used_operators":["lyWz822IDG","v0DYgG9ikt","YbUVn0Rbpy","vEGLkm4Z2k","5twsqlHp2o","Z2TMIBDE3Q","vRio1gEz1j","Noe24qw2ks"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","eLAdDNolq6","P8v4zCKN1o","7j4O788W3g","8w2t5hMYqp","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","nCS4ZIUYfx","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","tmPS8pqC7x","kbkesczE7y","D3AQDKkPcf","cTDWOvIxvz","2MzE1hQ0cz","oacrs7FA3X","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1206","layer":4},{"info":"compute unary expreesion, input=1206, op_id = vEGLkm4Z2k, unary_op_definition = '⨙⪌a = { (((a⪘⫢a)∷(a≬⋮a))⨪↰⇹(a∝(a∩⋅))) }', output=868","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=1650","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=1650, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-7202","layer":3},{"info":"compute binary expreesion, left_input=868, right_input=-7202, 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=-20961","layer":2},{"info":"compute unary expreesion, input=-20961, op_id = v0DYgG9ikt, unary_op_definition = 'a⊬⫿⊭ = { ((⨑⩽⪐(≤/a))↺((⨞⊢a)⨰(↽≂188))) , if a<119 ; (((∥⊫a)⨳⩥⨓(a⨵⪆a))↺(⊄⩳↩(a⋝⋈⪟a))) , else }', output=21173","layer":1},{"info":"number node, value=1256","layer":4},{"info":"number node, value=3793","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=3793, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-2512","layer":3},{"info":"compute unary expreesion, input=-2512, op_id = vRio1gEz1j, unary_op_definition = 'a⇩ = { (a+93) }', output=-2419","layer":2},{"info":"compute unary expreesion, input=-2419, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=2419","layer":1},{"info":"compute binary expreesion, left_input=21173, right_input=2419, 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":4,"result_base":4,"text":"((⨙⪌⪩⨒∯102312)⋛⪩⨒∯312113⊢⪩⨒∯121302⊬⫿⊭)≌((⪩⨒∯103220⨐⪩⨒∯323101⇩)⩤)=NaN","reverse_text":"NaN=((⨙⪌⪩⨒∯102312)⋛⪩⨒∯312113⊢⪩⨒∯121302⊬⫿⊭)≌((⪩⨒∯103220⨐⪩⨒∯323101⇩)⩤)","cot":[{"info":"⨙⪌⪩⨒∯102312=⪩⨒∯31210","layer":3},{"info":"⪩⨒∯312113⊢⪩⨒∯121302=⪩⨒∯-1300202","layer":3},{"info":"⪩⨒∯31210⋛⪩⨒∯-1300202=⪩⨒∯-11013201","layer":2},{"info":"⪩⨒∯-11013201⊬⫿⊭=⪩⨒∯11022311","layer":1},{"info":"⪩⨒∯103220⨐⪩⨒∯323101=⪩⨒∯-213100","layer":3},{"info":"⪩⨒∯-213100⇩=⪩⨒∯-211303","layer":2},{"info":"⪩⨒∯-211303⩤=⪩⨒∯211303","layer":1},{"info":"⪩⨒∯11022311≌⪩⨒∯211303=NaN","layer":0}]}
{"id":958,"expression_no_base_symbol":"(⊥(($2482$⨸⪁$1075$)⇮⋭$4733$⫗⊷⫓$1606$))∌↝(⊬↢(($8661$⊵↤)⨳⩥⨓(↥≼⋛$2365$)))","expression":"(⊥((⪩⨒∯212302⨸⪁⪩⨒∯100303)⇮⋭⪩⨒∯1021331⫗⊷⫓⪩⨒∯121012))∌↝(⊬↢((⪩⨒∯2013111⊵↤)⨳⩥⨓(↥≼⋛⪩⨒∯210331)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1252217,"operation_count":9,"complexity_ratio":139135.22222222222,"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":2482,"base":4},"right_expr":{"type":"numeric_atoms","value":1075,"base":4}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4733,"base":4},"right_expr":{"type":"numeric_atoms","value":1606,"base":4}}}},"right_expr":{"type":"unary","operator":"⊬↢","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊵↤","unary_expr":{"type":"numeric_atoms","value":8661,"base":4}},"right_expr":{"type":"unary","operator":"↥≼⋛","unary_expr":{"type":"numeric_atoms","value":2365,"base":4}}}}},"used_operators":["9Isq31Ruls","Q3PJZHRvZv","vkpjKywKVM","g55IO6H4Gj","zashukvMKz","WPoGxAaPR1","nCS4ZIUYfx","7IPrd9c3lf","x5lMkHmzsq"],"dependent_operators":["DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","fu6greOZ01","nhYeJWJD5X","U6pG0PXrV3","tifHPKVTfV","bJkvcejdHO","40aOVDgCDB","YbVcJGFEVW","W4YGzv6Whe","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","W4YGzv6Whe","9FxExcQeMw","Qy55tPpLXF","BjRHVeLaeN","tifHPKVTfV","2DDjHMKMc0","f6k1SAg4EE","Z2TMIBDE3Q","eewbuw0ToL","QMFrweE19q","eLAdDNolq6","9FxExcQeMw","Qy55tPpLXF","7j4O788W3g","Z2TMIBDE3Q","nCS4ZIUYfx"],"result":"⪩⨒∯-2030","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2482","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=2482, right_input=1075, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7114","layer":3},{"info":"number node, value=4733","layer":4},{"info":"number node, value=1606","layer":4},{"info":"compute binary expreesion, left_input=4733, right_input=1606, 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=7114, right_input=-134, 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 = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-70","layer":1},{"info":"number node, value=8661","layer":4},{"info":"compute unary expreesion, input=8661, 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=2365","layer":4},{"info":"compute unary expreesion, input=2365, 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=67, right_input=-113, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-180","layer":2},{"info":"compute unary expreesion, input=-180, op_id = WPoGxAaPR1, unary_op_definition = '⊬↢a = { (((a⫞⩸⩒a)⊝⪿⪼(a⫯⪬∳a))⪎↠((a⨀⨒)↸(∐⩳⋚a))) , if (∓a)>278 ; (((a↙a)⊱⇼⊻(a∌480))⇉⇱⇎) , else }', output=-1864","layer":1},{"info":"compute binary expreesion, left_input=-70, right_input=-1864, op_id = 9Isq31Ruls binary_op_definition= 'a∌↝b = { ((⋗⩬⋾b)∲⫓(⨞⊢(a⩚⊴⇥145))) , if (b⫌⩹⨱)>=130 ; ((-a)⋷((a≧⫂∧a)⋝⋈⪟(50⋥≓≎196))) , else }', output=-140","layer":0}],"base":4,"result_base":4,"text":"(⊥((⪩⨒∯212302⨸⪁⪩⨒∯100303)⇮⋭⪩⨒∯1021331⫗⊷⫓⪩⨒∯121012))∌↝(⊬↢((⪩⨒∯2013111⊵↤)⨳⩥⨓(↥≼⋛⪩⨒∯210331)))=⪩⨒∯-2030","reverse_text":"⪩⨒∯-2030=(⊥((⪩⨒∯212302⨸⪁⪩⨒∯100303)⇮⋭⪩⨒∯1021331⫗⊷⫓⪩⨒∯121012))∌↝(⊬↢((⪩⨒∯2013111⊵↤)⨳⩥⨓(↥≼⋛⪩⨒∯210331)))","cot":[{"info":"⪩⨒∯212302⨸⪁⪩⨒∯100303=⪩⨒∯1233022","layer":3},{"info":"⪩⨒∯1021331⫗⊷⫓⪩⨒∯121012=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯1233022⇮⋭⪩⨒∯-2012=⪩⨒∯1003","layer":2},{"info":"⊥⪩⨒∯1003=⪩⨒∯-1012","layer":1},{"info":"⪩⨒∯2013111⊵↤=⪩⨒∯1003","layer":3},{"info":"↥≼⋛⪩⨒∯210331=⪩⨒∯-1301","layer":3},{"info":"⪩⨒∯1003⨳⩥⨓⪩⨒∯-1301=⪩⨒∯-2310","layer":2},{"info":"⊬↢⪩⨒∯-2310=⪩⨒∯-131020","layer":1},{"info":"⪩⨒∯-1012∌↝⪩⨒∯-131020=⪩⨒∯-2030","layer":0}]}
{"id":959,"expression_no_base_symbol":"∂⩏⊆($1412$∓⋝$1125$⩨$2760$↺$2736$)⨰($4491$≨$3265$⪉⨛(⇋↷$2962$))","expression":"∂⩏⊆(⪩⨒∯112010∓⋝⪩⨒∯101211⩨⪩⨒∯223020↺⪩⨒∯222300)⨰(⪩⨒∯1012023≨⪩⨒∯303001⪉⨛(⇋↷⪩⨒∯232102))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":194,"operation_count":8,"complexity_ratio":24.25,"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":1412,"base":4},"right_expr":{"type":"numeric_atoms","value":1125,"base":4}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2760,"base":4},"right_expr":{"type":"numeric_atoms","value":2736,"base":4}}},"right_expr":{"type":"binary","operator":"⪉⨛","left_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":4491,"base":4},"right_expr":{"type":"numeric_atoms","value":3265,"base":4}},"right_expr":{"type":"unary","operator":"⇋↷","unary_expr":{"type":"numeric_atoms","value":2962,"base":4}}}}},"used_operators":["8WDwsbhb0R","eewbuw0ToL","2DlMacCsIx","PoHhknlbAi","7j4O788W3g","EWw2JM7wp4","0KMCeP1Jsh","SWo3A1KBJH"],"dependent_operators":["14qkJME0vr","eLAdDNolq6","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC","XPYlsWDdGa","23Mk6UjR3U","2DQ55sFlQl","u6S6b8DprG"],"result":"⪩⨒∯-2101011202","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1412","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1412, right_input=1125, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"number node, value=2760","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=2760, right_input=2736, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2736","layer":3},{"info":"compute binary expreesion, left_input=67, right_input=2736, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-120","layer":2},{"info":"number node, value=4491","layer":4},{"info":"number node, value=3265","layer":4},{"info":"compute binary expreesion, left_input=4491, right_input=3265, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-42434","layer":3},{"info":"number node, value=2962","layer":4},{"info":"compute unary expreesion, input=2962, op_id = SWo3A1KBJH, unary_op_definition = '⇋↷a = { (⪲⇎((↽≂a)⋷(a⨵⪆a))) }', output=23696","layer":3},{"info":"compute binary expreesion, left_input=-42434, right_input=23696, op_id = EWw2JM7wp4 binary_op_definition= 'a⪉⨛b = { (((82⇼⇔∾a)⩚⊴⇥a)⩚⊴⇥((b∲⫓a)⋳⪒(a⨰b))) }', output=-198175","layer":2},{"info":"compute binary expreesion, left_input=-120, right_input=-198175, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=198065","layer":1},{"info":"compute unary expreesion, input=198065, op_id = 8WDwsbhb0R, unary_op_definition = '∂⩏⊆a = { (≤/a) , if a<=92 ; (a⊦⊿) , else }', output=-594274","layer":0}],"base":4,"result_base":4,"text":"∂⩏⊆(⪩⨒∯112010∓⋝⪩⨒∯101211⩨⪩⨒∯223020↺⪩⨒∯222300)⨰(⪩⨒∯1012023≨⪩⨒∯303001⪉⨛(⇋↷⪩⨒∯232102))=⪩⨒∯-2101011202","reverse_text":"⪩⨒∯-2101011202=∂⩏⊆(⪩⨒∯112010∓⋝⪩⨒∯101211⩨⪩⨒∯223020↺⪩⨒∯222300)⨰(⪩⨒∯1012023≨⪩⨒∯303001⪉⨛(⇋↷⪩⨒∯232102))","cot":[{"info":"⪩⨒∯112010∓⋝⪩⨒∯101211=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯223020↺⪩⨒∯222300=⪩⨒∯222300","layer":3},{"info":"⪩⨒∯1003⩨⪩⨒∯222300=⪩⨒∯-1320","layer":2},{"info":"⪩⨒∯1012023≨⪩⨒∯303001=⪩⨒∯-22113002","layer":3},{"info":"⇋↷⪩⨒∯232102=⪩⨒∯11302100","layer":3},{"info":"⪩⨒∯-22113002⪉⨛⪩⨒∯11302100=⪩⨒∯-300120133","layer":2},{"info":"⪩⨒∯-1320⨰⪩⨒∯-300120133=⪩⨒∯300112301","layer":1},{"info":"∂⩏⊆⪩⨒∯300112301=⪩⨒∯-2101011202","layer":0}]}
{"id":960,"expression_no_base_symbol":"(($3121$⪒⊣⊆$1588$)∊∟⩊($4885$⩘$2343$))⩦(⫡⇟⇯($4673$⫸⊐$5304$))⋥≓≎($2658$≧⫂∧$7224$)∘$1156$⇻⋧≁$2370$∠↢$7117$⫣⪄⊒$4685$⩇∃⫛($1105$≀⩗∶$2209$)","expression":"((⪩⨒∯300301⪒⊣⊆⪩⨒∯120310)∊∟⩊(⪩⨒∯1030111⩘⪩⨒∯210213))⩦(⫡⇟⇯(⪩⨒∯1021001⫸⊐⪩⨒∯1102320))⋥≓≎(⪩⨒∯221202≧⫂∧⪩⨒∯1300320)∘⪩⨒∯102010⇻⋧≁⪩⨒∯211002∠↢⪩⨒∯1233031⫣⪄⊒⪩⨒∯1021031⩇∃⫛(⪩⨒∯101101≀⩗∶⪩⨒∯202201)","highest_n_order":2,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1519,"operation_count":14,"complexity_ratio":108.5,"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":3121,"base":4},"right_expr":{"type":"numeric_atoms","value":1588,"base":4}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4885,"base":4},"right_expr":{"type":"numeric_atoms","value":2343,"base":4}}},"right_expr":{"type":"unary","operator":"⫡⇟⇯","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4673,"base":4},"right_expr":{"type":"numeric_atoms","value":5304,"base":4}}}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"binary","operator":"∘","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2658,"base":4},"right_expr":{"type":"numeric_atoms","value":7224,"base":4}},"right_expr":{"type":"binary","operator":"⇻⋧≁","left_expr":{"type":"numeric_atoms","value":1156,"base":4},"right_expr":{"type":"numeric_atoms","value":2370,"base":4}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":7117,"base":4},"right_expr":{"type":"numeric_atoms","value":4685,"base":4}},"right_expr":{"type":"binary","operator":"≀⩗∶","left_expr":{"type":"numeric_atoms","value":1105,"base":4},"right_expr":{"type":"numeric_atoms","value":2209,"base":4}}}}},"used_operators":["Qy55tPpLXF","0kmYd0q39Y","ddLRYrp01A","eRqsBgTDFp","cHh1gJQ2o6","qWUSsah53b","mqXw5SEYmG","KbjG8mgYpV","Z5m6OM72h2","Ph9nP6C5qx","jCPkEVoL5K","1aApVXNlOP","RabNbG55vr","8INZBEW696"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","sdazOOVcIp","W4YGzv6Whe","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","DZ8iAZOCBD","P8v4zCKN1o","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","eH2TOUuTDT","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLxqMNBOBk","XnXgA4xnOs","3EYGwJThht","XTarYq4gQB","59igzFyhWz","dfKe02y8D2","X99M06cbEe","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","KPf6cnQVty","2DlMacCsIx","l07mrZUIn9"],"result":"⪩⨒∯1233110311","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3121","layer":4},{"info":"number node, value=1588","layer":4},{"info":"compute binary expreesion, left_input=3121, right_input=1588, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6242","layer":3},{"info":"number node, value=4885","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=4885, right_input=2343, 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=6242, right_input=160, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=20","layer":2},{"info":"number node, value=4673","layer":4},{"info":"number node, value=5304","layer":4},{"info":"compute binary expreesion, left_input=4673, right_input=5304, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21091","layer":3},{"info":"compute unary expreesion, input=21091, op_id = qWUSsah53b, unary_op_definition = '⫡⇟⇯a = { (∥⊫(a⊉≛↸a)) }', output=43050","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=43050, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=40","layer":1},{"info":"number node, value=2658","layer":4},{"info":"number node, value=7224","layer":4},{"info":"compute binary expreesion, left_input=2658, right_input=7224, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6751","layer":3},{"info":"number node, value=1156","layer":4},{"info":"number node, value=2370","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=2370, 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=6751, right_input=-447, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=-6371","layer":2},{"info":"number node, value=7117","layer":4},{"info":"number node, value=4685","layer":4},{"info":"compute binary expreesion, left_input=7117, right_input=4685, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-14388","layer":3},{"info":"number node, value=1105","layer":4},{"info":"number node, value=2209","layer":4},{"info":"compute binary expreesion, left_input=1105, right_input=2209, 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=-14388, right_input=-3, 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=-14388","layer":2},{"info":"compute binary expreesion, left_input=-6371, right_input=-14388, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=227998","layer":1},{"info":"compute binary expreesion, left_input=40, right_input=227998, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=455989","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯300301⪒⊣⊆⪩⨒∯120310)∊∟⩊(⪩⨒∯1030111⩘⪩⨒∯210213))⩦(⫡⇟⇯(⪩⨒∯1021001⫸⊐⪩⨒∯1102320))⋥≓≎(⪩⨒∯221202≧⫂∧⪩⨒∯1300320)∘⪩⨒∯102010⇻⋧≁⪩⨒∯211002∠↢⪩⨒∯1233031⫣⪄⊒⪩⨒∯1021031⩇∃⫛(⪩⨒∯101101≀⩗∶⪩⨒∯202201)=⪩⨒∯1233110311","reverse_text":"⪩⨒∯1233110311=((⪩⨒∯300301⪒⊣⊆⪩⨒∯120310)∊∟⩊(⪩⨒∯1030111⩘⪩⨒∯210213))⩦(⫡⇟⇯(⪩⨒∯1021001⫸⊐⪩⨒∯1102320))⋥≓≎(⪩⨒∯221202≧⫂∧⪩⨒∯1300320)∘⪩⨒∯102010⇻⋧≁⪩⨒∯211002∠↢⪩⨒∯1233031⫣⪄⊒⪩⨒∯1021031⩇∃⫛(⪩⨒∯101101≀⩗∶⪩⨒∯202201)","cot":[{"info":"⪩⨒∯300301⪒⊣⊆⪩⨒∯120310=⪩⨒∯1201202","layer":3},{"info":"⪩⨒∯1030111⩘⪩⨒∯210213=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯1201202∊∟⩊⪩⨒∯2200=⪩⨒∯110","layer":2},{"info":"⪩⨒∯1021001⫸⊐⪩⨒∯1102320=⪩⨒∯11021203","layer":3},{"info":"⫡⇟⇯⪩⨒∯11021203=⪩⨒∯22200222","layer":2},{"info":"⪩⨒∯110⩦⪩⨒∯22200222=⪩⨒∯220","layer":1},{"info":"⪩⨒∯221202≧⫂∧⪩⨒∯1300320=⪩⨒∯1221133","layer":3},{"info":"⪩⨒∯102010⇻⋧≁⪩⨒∯211002=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯1221133∘⪩⨒∯-12333=⪩⨒∯-1203203","layer":2},{"info":"⪩⨒∯1233031⫣⪄⊒⪩⨒∯1021031=⪩⨒∯-3200310","layer":3},{"info":"⪩⨒∯101101≀⩗∶⪩⨒∯202201=⪩⨒∯-3","layer":3},{"info":"⪩⨒∯-3200310⩇∃⫛⪩⨒∯-3=⪩⨒∯-3200310","layer":2},{"info":"⪩⨒∯-1203203∠↢⪩⨒∯-3200310=⪩⨒∯313222132","layer":1},{"info":"⪩⨒∯220⋥≓≎⪩⨒∯313222132=⪩⨒∯1233110311","layer":0}]}
{"id":961,"expression_no_base_symbol":"($4555$⇴$2838$⩧⪆$3589$⪮%⊝$3934$⪨≂$1014$⫗⊷⫓$1487$∋($6993$⋛$3340$))⇚⪠","expression":"(⪩⨒∯1013023⇴⪩⨒∯230112⩧⪆⪩⨒∯320011⪮%⊝⪩⨒∯331132⪨≂⪩⨒∯33312⫗⊷⫓⪩⨒∯113033∋(⪩⨒∯1231101⋛⪩⨒∯310030))⇚⪠","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1248416,"operation_count":8,"complexity_ratio":156052.0,"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":4555,"base":4},"right_expr":{"type":"numeric_atoms","value":2838,"base":4}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3589,"base":4},"right_expr":{"type":"numeric_atoms","value":3934,"base":4}}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1014,"base":4},"right_expr":{"type":"numeric_atoms","value":1487,"base":4}},"right_expr":{"type":"binary","operator":"⋛","left_expr":{"type":"numeric_atoms","value":6993,"base":4},"right_expr":{"type":"numeric_atoms","value":3340,"base":4}}}}},"used_operators":["Loh9y4A90B","sdazOOVcIp","Ikt5ks8PT7","4JB6nKBMSY","IWmyXbctLI","ukq6epAj5P","zashukvMKz","YbUVn0Rbpy"],"dependent_operators":["Z5m6OM72h2","9HNa5Wba9A","ztP7wcbY7m","rysDP5nf3Z","t8gj7n24qd","eewbuw0ToL","t8gj7n24qd","sdazOOVcIp","NTOWxs364D","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA"],"result":"Inf","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4555","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=4555, right_input=2838, op_id = 4JB6nKBMSY binary_op_definition= 'a⇴b = { ((185⊭↱a)⪨≂(b⩚⊴⇥a)) }', output=32620","layer":3},{"info":"number node, value=3589","layer":4},{"info":"number node, value=3934","layer":4},{"info":"compute binary expreesion, left_input=3589, right_input=3934, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7494","layer":3},{"info":"compute binary expreesion, left_input=32620, right_input=7494, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7494","layer":2},{"info":"number node, value=1014","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=1487, 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=6993","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=6993, right_input=3340, 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=-69255","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-69255, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=-54088","layer":2},{"info":"compute binary expreesion, left_input=-7494, right_input=-54088, 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=93290","layer":1},{"info":"compute unary expreesion, input=93290, op_id = Loh9y4A90B, unary_op_definition = 'a⇚⪠ = { ((a∘(a∈))*a) }', output=inf","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯1013023⇴⪩⨒∯230112⩧⪆⪩⨒∯320011⪮%⊝⪩⨒∯331132⪨≂⪩⨒∯33312⫗⊷⫓⪩⨒∯113033∋(⪩⨒∯1231101⋛⪩⨒∯310030))⇚⪠=Inf","reverse_text":"Inf=(⪩⨒∯1013023⇴⪩⨒∯230112⩧⪆⪩⨒∯320011⪮%⊝⪩⨒∯331132⪨≂⪩⨒∯33312⫗⊷⫓⪩⨒∯113033∋(⪩⨒∯1231101⋛⪩⨒∯310030))⇚⪠","cot":[{"info":"⪩⨒∯1013023⇴⪩⨒∯230112=⪩⨒∯13331230","layer":3},{"info":"⪩⨒∯320011⪮%⊝⪩⨒∯331132=⪩⨒∯1311012","layer":3},{"info":"⪩⨒∯13331230⩧⪆⪩⨒∯1311012=⪩⨒∯-1311012","layer":2},{"info":"⪩⨒∯33312⫗⊷⫓⪩⨒∯113033=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯1231101⋛⪩⨒∯310030=⪩⨒∯-100322013","layer":3},{"info":"⪩⨒∯-2012∋⪩⨒∯-100322013=⪩⨒∯-31031020","layer":2},{"info":"⪩⨒∯-1311012⪨≂⪩⨒∯-31031020=⪩⨒∯112301222","layer":1},{"info":"⪩⨒∯112301222⇚⪠=Inf","layer":0}]}
{"id":962,"expression_no_base_symbol":"⇉-⫰(≛(↓⇌$1336$)⪒⊣⊆($3675$⋳⪒$2455$))","expression":"⇉-⫰(≛(↓⇌⪩⨒∯110320)⪒⊣⊆(⪩⨒∯321123⋳⪒⪩⨒∯212113))","highest_n_order":1,"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":"unary","operator":"↓⇌","unary_expr":{"type":"numeric_atoms","value":1336,"base":4}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3675,"base":4},"right_expr":{"type":"numeric_atoms","value":2455,"base":4}}}}},"used_operators":["IGFM8TAlm9","W7eaUhjymW","eRqsBgTDFp","PxpmPgHHJV","12rbrZMWeM"],"dependent_operators":["eH2TOUuTDT","eewbuw0ToL","W4YGzv6Whe","NTOWxs364D","rysDP5nf3Z","BjRHVeLaeN","DZ8iAZOCBD","JLbD19bQDL","sdazOOVcIp","2DDjHMKMc0","f6k1SAg4EE","eewbuw0ToL","COABgblf1C","sdazOOVcIp","W4YGzv6Whe","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd"],"result":"⪩⨒∯110","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=1336","layer":3},{"info":"number node, value=3675","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=3675, right_input=2455, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4608","layer":3},{"info":"compute binary expreesion, left_input=1336, right_input=4608, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=2672","layer":2},{"info":"compute unary expreesion, input=2672, 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 = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":0}],"base":4,"result_base":4,"text":"⇉-⫰(≛(↓⇌⪩⨒∯110320)⪒⊣⊆(⪩⨒∯321123⋳⪒⪩⨒∯212113))=⪩⨒∯110","reverse_text":"⪩⨒∯110=⇉-⫰(≛(↓⇌⪩⨒∯110320)⪒⊣⊆(⪩⨒∯321123⋳⪒⪩⨒∯212113))","cot":[{"info":"↓⇌⪩⨒∯110320=⪩⨒∯110320","layer":3},{"info":"⪩⨒∯321123⋳⪒⪩⨒∯212113=⪩⨒∯1020000","layer":3},{"info":"⪩⨒∯110320⪒⊣⊆⪩⨒∯1020000=⪩⨒∯221300","layer":2},{"info":"≛⪩⨒∯221300=⪩⨒∯-22","layer":1},{"info":"⇉-⫰⪩⨒∯-22=⪩⨒∯110","layer":0}]}
{"id":963,"expression_no_base_symbol":"(($1568$⊢$1795$)≌($5045$⪕$2485$)⫸⊐$1965$⫗⊷⫓$1396$∥⊢⊲($6820$∈))⩖⊿(($1569$⨐$4822$⫚⫇)⫌⩉⩟(⨈⫕$3636$)≌($2714$⫚↹⊑$3444$))","expression":"((⪩⨒∯120200⊢⪩⨒∯130003)≌(⪩⨒∯1032311⪕⪩⨒∯212311)⫸⊐⪩⨒∯132231⫗⊷⫓⪩⨒∯111310∥⊢⊲(⪩⨒∯1222210∈))⩖⊿((⪩⨒∯120201⨐⪩⨒∯1023112⫚⫇)⫌⩉⩟(⨈⫕⪩⨒∯320310)≌(⪩⨒∯222122⫚↹⊑⪩⨒∯311310))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1338144,"operation_count":14,"complexity_ratio":95581.71428571429,"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":1568,"base":4},"right_expr":{"type":"numeric_atoms","value":1795,"base":4}},"right_expr":{"type":"binary","operator":"⪕","left_expr":{"type":"numeric_atoms","value":5045,"base":4},"right_expr":{"type":"numeric_atoms","value":2485,"base":4}}},"right_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":1965,"base":4},"right_expr":{"type":"numeric_atoms","value":1396,"base":4}},"right_expr":{"type":"unary","operator":"∈","unary_expr":{"type":"numeric_atoms","value":6820,"base":4}}}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"unary","operator":"⫚⫇","unary_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"numeric_atoms","value":1569,"base":4},"right_expr":{"type":"numeric_atoms","value":4822,"base":4}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3636,"base":4}},"right_expr":{"type":"binary","operator":"⫚↹⊑","left_expr":{"type":"numeric_atoms","value":2714,"base":4},"right_expr":{"type":"numeric_atoms","value":3444,"base":4}}}}},"used_operators":["RZ5CV9rWsJ","mqXw5SEYmG","lyWz822IDG","5twsqlHp2o","umQnsF7QlU","v1UQAVDJRr","zashukvMKz","ztP7wcbY7m","XIIwhv8d0m","SdCjLnB6rR","Noe24qw2ks","megm06wKyl","dfKe02y8D2"],"dependent_operators":["HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","P8v4zCKN1o","Qy55tPpLXF","BjRHVeLaeN","DZ8iAZOCBD","7j4O788W3g","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","14qkJME0vr","D4vGDi5EA2","2td37pGCOC","P8v4zCKN1o","2td37pGCOC","Qy55tPpLXF","EBcxylXtPf","rGHVDoGpnC","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","XPYlsWDdGa","8w2t5hMYqp","f6k1SAg4EE","14qkJME0vr","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","Ph9nP6C5qx","xUOZtlo3hN","g55IO6H4Gj","2td37pGCOC","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2DQ55sFlQl","DIvbN7qnHd","t8gj7n24qd","12rbrZMWeM","g55IO6H4Gj"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1568","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=1795, op_id = 5twsqlHp2o binary_op_definition= 'a⊢b = { (((225⫩⊇)⊉≛↸(∥⊫a))⨵⪆(25⊉≛↸(b⋥≓≎47))) , if (a≦≮≮)==364 ; (((b⊦⊿)⪨≂(⩦⩻⨪b))↺((⨞⊢a)⪨≂(-1))) , else }', output=-3380","layer":3},{"info":"number node, value=5045","layer":4},{"info":"number node, value=2485","layer":4},{"info":"compute binary expreesion, left_input=5045, right_input=2485, op_id = umQnsF7QlU binary_op_definition= 'a⪕b = { (⩦⩻⨪(∥⊫(b⋥≓≎a))) }', output=8506","layer":3},{"info":"compute binary expreesion, left_input=-3380, right_input=8506, 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=1965","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=1965, right_input=1396, 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=6820","layer":4},{"info":"compute unary expreesion, input=6820, op_id = ztP7wcbY7m, unary_op_definition = 'a∈ = { ((⊄⩳↩250)-(a⊦⊿)) , if ((⪲⇎a)>320 or (a⪒777)>25 or a!=39) ; a , else }', output=19789","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=19789, 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=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":1},{"info":"number node, value=1569","layer":4},{"info":"number node, value=4822","layer":4},{"info":"compute binary expreesion, left_input=1569, right_input=4822, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=-3138","layer":3},{"info":"compute unary expreesion, input=-3138, op_id = SdCjLnB6rR, unary_op_definition = 'a⫚⫇ = { ((⨞⊢87)⨸⪁((⩦⩻⨪a)≧⫂∧a)) }', output=-522","layer":2},{"info":"number node, value=3636","layer":4},{"info":"compute unary expreesion, input=3636, 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=2714","layer":4},{"info":"number node, value=3444","layer":4},{"info":"compute binary expreesion, left_input=2714, right_input=3444, op_id = dfKe02y8D2 binary_op_definition= 'a⫚↹⊑b = { ((126⊠≄⫣)⋳⪒((-b)⨵⪆(a⨸⪁b))) }', output=-447","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-447, op_id = lyWz822IDG binary_op_definition= 'a≌b = { (≛((132⩦9)⊉↱≁(a⪇≇⋚a))) , if (a⪘⫢419)==234 ; (((⩰124)≚⊃≕(b⨴∎))⊢((16⨉)↬(a⊟⇱))) , else }', output=7280","layer":2},{"info":"compute binary expreesion, left_input=-522, right_input=7280, 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 = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯120200⊢⪩⨒∯130003)≌(⪩⨒∯1032311⪕⪩⨒∯212311)⫸⊐⪩⨒∯132231⫗⊷⫓⪩⨒∯111310∥⊢⊲(⪩⨒∯1222210∈))⩖⊿((⪩⨒∯120201⨐⪩⨒∯1023112⫚⫇)⫌⩉⩟(⨈⫕⪩⨒∯320310)≌(⪩⨒∯222122⫚↹⊑⪩⨒∯311310))=NaN","reverse_text":"NaN=((⪩⨒∯120200⊢⪩⨒∯130003)≌(⪩⨒∯1032311⪕⪩⨒∯212311)⫸⊐⪩⨒∯132231⫗⊷⫓⪩⨒∯111310∥⊢⊲(⪩⨒∯1222210∈))⩖⊿((⪩⨒∯120201⨐⪩⨒∯1023112⫚⫇)⫌⩉⩟(⨈⫕⪩⨒∯320310)≌(⪩⨒∯222122⫚↹⊑⪩⨒∯311310))","cot":[{"info":"⪩⨒∯120200⊢⪩⨒∯130003=⪩⨒∯-310310","layer":3},{"info":"⪩⨒∯1032311⪕⪩⨒∯212311=⪩⨒∯2010322","layer":3},{"info":"⪩⨒∯-310310≌⪩⨒∯2010322=NaN","layer":2},{"info":"⪩⨒∯132231⫗⊷⫓⪩⨒∯111310=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯1222210∈=⪩⨒∯10311031","layer":3},{"info":"⪩⨒∯-2012∥⊢⊲⪩⨒∯10311031=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"⪩⨒∯120201⨐⪩⨒∯1023112=⪩⨒∯-301002","layer":3},{"info":"⪩⨒∯-301002⫚⫇=⪩⨒∯-20022","layer":2},{"info":"⨈⫕⪩⨒∯320310=⪩⨒∯-111","layer":3},{"info":"⪩⨒∯222122⫚↹⊑⪩⨒∯311310=⪩⨒∯-12333","layer":3},{"info":"⪩⨒∯-111≌⪩⨒∯-12333=⪩⨒∯1301300","layer":2},{"info":"⪩⨒∯-20022⫌⩉⩟⪩⨒∯1301300=⪩⨒∯-302","layer":1},{"info":"NaN⩖⊿⪩⨒∯-302=NaN","layer":0}]}
{"id":964,"expression_no_base_symbol":"((⪛⨧$4453$⊋$6417$)≬⋮(≸(⋂$8381$)))⊉↱≁(($1998$∝$4191$)⪶≀⋏($4016$⫸⊐$1914$)⨎(⨝⨆$1509$⪒⊣⊆$2929$))","expression":"((⪛⨧⪩⨒∯1011211⊋⪩⨒∯1210101)≬⋮(≸(⋂⪩⨒∯2002331)))⊉↱≁((⪩⨒∯133032∝⪩⨒∯1001133)⪶≀⋏(⪩⨒∯332300⫸⊐⪩⨒∯131322)⨎(⨝⨆⪩⨒∯113211⪒⊣⊆⪩⨒∯231301))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4730,"operation_count":12,"complexity_ratio":394.1666666666667,"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":4453,"base":4},"right_expr":{"type":"numeric_atoms","value":6417,"base":4}}},"right_expr":{"type":"unary","operator":"≸","unary_expr":{"type":"unary","operator":"⋂","unary_expr":{"type":"numeric_atoms","value":8381,"base":4}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"∝","left_expr":{"type":"numeric_atoms","value":1998,"base":4},"right_expr":{"type":"numeric_atoms","value":4191,"base":4}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4016,"base":4},"right_expr":{"type":"numeric_atoms","value":1914,"base":4}}},"right_expr":{"type":"unary","operator":"⨝⨆","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":1509,"base":4},"right_expr":{"type":"numeric_atoms","value":2929,"base":4}}}}},"used_operators":["w2P8NbNXyL","kbkesczE7y","6NJAcO2OWT","W4tP9CfskL","eOf03JbCpp","BUOGQAYlQx","rJVOvQCfKK","zR4jO40bMj","cTDWOvIxvz","mqXw5SEYmG","bQ67fsrMVf","eRqsBgTDFp"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","P8v4zCKN1o","rysDP5nf3Z","7j4O788W3g","XIabStNQrY","t8gj7n24qd","i8ToyICDmI","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","WmT3o8z6ya","l07mrZUIn9","NTOWxs364D","RygbFNSyEJ","tifHPKVTfV","oRDoc9rAEX","IwW236VD4Y","1aApVXNlOP","Z5m6OM72h2","mqXw5SEYmG","IWmyXbctLI","NTOWxs364D","XPYlsWDdGa","QMFrweE19q","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","7j4O788W3g","W4YGzv6Whe","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4453","layer":4},{"info":"number node, value=6417","layer":4},{"info":"compute binary expreesion, left_input=4453, right_input=6417, 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=-97582100","layer":3},{"info":"compute unary expreesion, input=-97582100, op_id = 6NJAcO2OWT, unary_op_definition = '⪛⨧a = { (a+a) , if (a⪠⩆⊳)>=98 ; (a≫≃) , else }', output=-195162799","layer":2},{"info":"number node, value=8381","layer":4},{"info":"compute unary expreesion, input=8381, op_id = BUOGQAYlQx, unary_op_definition = '⋂a = { a , if (⪲⇎a)==26 ; ((a⩚⊴⇥a)⫡⨏(a⊭↱102)) , else }', output=-116738","layer":3},{"info":"compute unary expreesion, input=-116738, op_id = eOf03JbCpp, unary_op_definition = '≸a = { (29∘((630⊋≦⊧a)⩚⊴⇥(a≦↸a))) , if (a⋘⨑⨽)>2 ; (((a⪮%⊝a)⇼⇔∾(a↪⪝))⫸⊐((a⪮%⊝a)≠≀(3⩇∃⫛a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-195162799, right_input=nan, op_id = kbkesczE7y binary_op_definition= 'a≬⋮b = { (((-a)∲⫓(b⇋≉))↺(∥⊫(b-b))) }', output=nan","layer":1},{"info":"number node, value=1998","layer":4},{"info":"number node, value=4191","layer":4},{"info":"compute binary expreesion, left_input=1998, right_input=4191, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=2003","layer":3},{"info":"number node, value=4016","layer":4},{"info":"number node, value=1914","layer":4},{"info":"compute binary expreesion, left_input=4016, right_input=1914, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7531","layer":3},{"info":"compute binary expreesion, left_input=2003, right_input=7531, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-21303","layer":2},{"info":"number node, value=1509","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=2929, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=3018","layer":3},{"info":"compute unary expreesion, input=3018, op_id = bQ67fsrMVf, unary_op_definition = '⨝⨆a = { (209⇼⇔∾a) }', output=2809","layer":2},{"info":"compute binary expreesion, left_input=-21303, right_input=2809, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2809","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2809, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪛⨧⪩⨒∯1011211⊋⪩⨒∯1210101)≬⋮(≸(⋂⪩⨒∯2002331)))⊉↱≁((⪩⨒∯133032∝⪩⨒∯1001133)⪶≀⋏(⪩⨒∯332300⫸⊐⪩⨒∯131322)⨎(⨝⨆⪩⨒∯113211⪒⊣⊆⪩⨒∯231301))=NaN","reverse_text":"NaN=((⪛⨧⪩⨒∯1011211⊋⪩⨒∯1210101)≬⋮(≸(⋂⪩⨒∯2002331)))⊉↱≁((⪩⨒∯133032∝⪩⨒∯1001133)⪶≀⋏(⪩⨒∯332300⫸⊐⪩⨒∯131322)⨎(⨝⨆⪩⨒∯113211⪒⊣⊆⪩⨒∯231301))","cot":[{"info":"⪩⨒∯1011211⊋⪩⨒∯1210101=⪩⨒∯-11310033300110","layer":3},{"info":"⪛⨧⪩⨒∯-11310033300110=⪩⨒∯-23220133022233","layer":2},{"info":"⋂⪩⨒∯2002331=⪩⨒∯-130200002","layer":3},{"info":"≸⪩⨒∯-130200002=NaN","layer":2},{"info":"⪩⨒∯-23220133022233≬⋮NaN=NaN","layer":1},{"info":"⪩⨒∯133032∝⪩⨒∯1001133=⪩⨒∯133103","layer":3},{"info":"⪩⨒∯332300⫸⊐⪩⨒∯131322=⪩⨒∯1311223","layer":3},{"info":"⪩⨒∯133103⪶≀⋏⪩⨒∯1311223=⪩⨒∯-11030313","layer":2},{"info":"⪩⨒∯113211⪒⊣⊆⪩⨒∯231301=⪩⨒∯233022","layer":3},{"info":"⨝⨆⪩⨒∯233022=⪩⨒∯223321","layer":2},{"info":"⪩⨒∯-11030313⨎⪩⨒∯223321=⪩⨒∯223321","layer":1},{"info":"NaN⊉↱≁⪩⨒∯223321=NaN","layer":0}]}
{"id":965,"expression_no_base_symbol":"⪭⩑⪱(($2091$⨁⊸⫻)⨜⨶($5262$≝⊿$1828$)∙⊟$3815$≒∊$1158$⋭≵($1679$≋⫹))","expression":"⪭⩑⪱((⪩⨒∯200223⨁⊸⫻)⨜⨶(⪩⨒∯1102032≝⊿⪩⨒∯130210)∙⊟⪩⨒∯323213≒∊⪩⨒∯102012⋭≵(⪩⨒∯122033≋⫹))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8167063,"operation_count":8,"complexity_ratio":1020882.875,"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":2091,"base":4}},"right_expr":{"type":"binary","operator":"≝⊿","left_expr":{"type":"numeric_atoms","value":5262,"base":4},"right_expr":{"type":"numeric_atoms","value":1828,"base":4}}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"binary","operator":"≒∊","left_expr":{"type":"numeric_atoms","value":3815,"base":4},"right_expr":{"type":"numeric_atoms","value":1158,"base":4}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1679,"base":4}}}}},"used_operators":["SIgE0bArFf","SxTAKzQCrw","HiPekx5b7W","glklzrTFfD","OKKcZfAt5B","jBncVCNhdl","5KTvxBwnZo","N41Kp7NANJ"],"dependent_operators":["FU0Cs4j7VP","ZvLB05nZmT","E64sFOc4tB","dWAJyo7jo9","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","W4YGzv6Whe","rysDP5nf3Z","12rbrZMWeM","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","3EYGwJThht","dWAJyo7jo9","Z2TMIBDE3Q","bjFbhXSADs","3DZMoQKiUl","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯133233123300","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2091","layer":4},{"info":"compute unary expreesion, input=2091, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2091","layer":3},{"info":"number node, value=5262","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=5262, right_input=1828, op_id = OKKcZfAt5B binary_op_definition= 'a≝⊿b = { ((82⋳⪒b)⋳⪒a) }', output=-9451","layer":3},{"info":"compute binary expreesion, left_input=2091, right_input=-9451, 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=-35013","layer":2},{"info":"number node, value=3815","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=3815, right_input=1158, op_id = 5KTvxBwnZo binary_op_definition= 'a≒∊b = { (≱⇩⩕(a⪢a)) , if (a⩤)==117 ; ((b⪊≅)⇄a) , else }', output=-3331","layer":3},{"info":"number node, value=1679","layer":4},{"info":"compute unary expreesion, input=1679, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3358","layer":3},{"info":"compute binary expreesion, left_input=-3331, right_input=-3358, 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=-35013, right_input=67, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=470913","layer":1},{"info":"compute unary expreesion, input=470913, op_id = SIgE0bArFf, unary_op_definition = '⪭⩑⪱a = { (⋎⨆((a↛⩡⫤)⪢(a⫳≱↱715))) }', output=8320752","layer":0}],"base":4,"result_base":4,"text":"⪭⩑⪱((⪩⨒∯200223⨁⊸⫻)⨜⨶(⪩⨒∯1102032≝⊿⪩⨒∯130210)∙⊟⪩⨒∯323213≒∊⪩⨒∯102012⋭≵(⪩⨒∯122033≋⫹))=⪩⨒∯133233123300","reverse_text":"⪩⨒∯133233123300=⪭⩑⪱((⪩⨒∯200223⨁⊸⫻)⨜⨶(⪩⨒∯1102032≝⊿⪩⨒∯130210)∙⊟⪩⨒∯323213≒∊⪩⨒∯102012⋭≵(⪩⨒∯122033≋⫹))","cot":[{"info":"⪩⨒∯200223⨁⊸⫻=⪩⨒∯200223","layer":3},{"info":"⪩⨒∯1102032≝⊿⪩⨒∯130210=⪩⨒∯-2103223","layer":3},{"info":"⪩⨒∯200223⨜⨶⪩⨒∯-2103223=⪩⨒∯-20203011","layer":2},{"info":"⪩⨒∯323213≒∊⪩⨒∯102012=⪩⨒∯-310003","layer":3},{"info":"⪩⨒∯122033≋⫹=⪩⨒∯-310132","layer":3},{"info":"⪩⨒∯-310003⋭≵⪩⨒∯-310132=⪩⨒∯1003","layer":2},{"info":"⪩⨒∯-20203011∙⊟⪩⨒∯1003=⪩⨒∯1302332001","layer":1},{"info":"⪭⩑⪱⪩⨒∯1302332001=⪩⨒∯133233123300","layer":0}]}
{"id":966,"expression_no_base_symbol":"⊊≼∋(($4869$⋛$4278$⨔≚≋$4370$⫗⊷⫓$2592$)⨓(($1288$↙$3672$)⩎⪣⊞))","expression":"⊊≼∋((⪩⨒∯1030011⋛⪩⨒∯1002312⨔≚≋⪩⨒∯1010102⫗⊷⫓⪩⨒∯220200)⨓((⪩⨒∯110020↙⪩⨒∯321120)⩎⪣⊞))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2171538,"operation_count":7,"complexity_ratio":310219.71428571426,"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":4869,"base":4},"right_expr":{"type":"numeric_atoms","value":4278,"base":4}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":4370,"base":4},"right_expr":{"type":"numeric_atoms","value":2592,"base":4}}},"right_expr":{"type":"unary","operator":"⩎⪣⊞","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1288,"base":4},"right_expr":{"type":"numeric_atoms","value":3672,"base":4}}}}},"used_operators":["FWz7pXsQhA","3ViojmjbAp","Z57zeUYC9z","YbUVn0Rbpy","zashukvMKz","waWucp1uQ4","yyfyN0ffXY"],"dependent_operators":["B5M0gjZbta","jCPkEVoL5K","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","mp7IySMOzn","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4869","layer":4},{"info":"number node, value=4278","layer":4},{"info":"compute binary expreesion, left_input=4869, right_input=4278, 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=-88371","layer":3},{"info":"number node, value=4370","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=4370, right_input=2592, 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=-88371, right_input=-134, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=1412248","layer":2},{"info":"number node, value=1288","layer":4},{"info":"number node, value=3672","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=3672, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11016","layer":3},{"info":"compute unary expreesion, input=-11016, op_id = waWucp1uQ4, unary_op_definition = 'a⩎⪣⊞ = { (a⇷a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1412248, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FWz7pXsQhA, unary_op_definition = '⊊≼∋a = { (a↬a) , if a<=50 ; (a⇻⋧≁a) , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⊊≼∋((⪩⨒∯1030011⋛⪩⨒∯1002312⨔≚≋⪩⨒∯1010102⫗⊷⫓⪩⨒∯220200)⨓((⪩⨒∯110020↙⪩⨒∯321120)⩎⪣⊞))=NaN","reverse_text":"NaN=⊊≼∋((⪩⨒∯1030011⋛⪩⨒∯1002312⨔≚≋⪩⨒∯1010102⫗⊷⫓⪩⨒∯220200)⨓((⪩⨒∯110020↙⪩⨒∯321120)⩎⪣⊞))","cot":[{"info":"⪩⨒∯1030011⋛⪩⨒∯1002312=⪩⨒∯-111210303","layer":3},{"info":"⪩⨒∯1010102⫗⊷⫓⪩⨒∯220200=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯-111210303⨔≚≋⪩⨒∯-2012=⪩⨒∯11120302120","layer":2},{"info":"⪩⨒∯110020↙⪩⨒∯321120=⪩⨒∯-2230020","layer":3},{"info":"⪩⨒∯-2230020⩎⪣⊞=NaN","layer":2},{"info":"⪩⨒∯11120302120⨓NaN=NaN","layer":1},{"info":"⊊≼∋NaN=NaN","layer":0}]}
{"id":967,"expression_no_base_symbol":"⊆⋠(∷≠(($3411$⪗)∷$5266$⪪$3467$))","expression":"⊆⋠(∷≠((⪩⨒∯311103⪗)∷⪩⨒∯1102102⪪⪩⨒∯312023))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19389,"operation_count":5,"complexity_ratio":3877.8,"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":3411,"base":4}},"right_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":5266,"base":4},"right_expr":{"type":"numeric_atoms","value":3467,"base":4}}}}},"used_operators":["EBhcHTkKd8","QiR2Oyf5Xj","D3AQDKkPcf","VEQNXA0ZBg","xD69zh8xqp"],"dependent_operators":["YjI8oCXuph","VwlE7vj6HS","e1ybzncUwg","SUmda5xLS4","vg4gO5BX6G","KipPnG1M2J","7j4O788W3g","9FxExcQeMw","NTOWxs364D","7j4O788W3g","dWAJyo7jo9","FU0Cs4j7VP","JclMnS0uGI"],"result":"⪩⨒∯332023","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3411","layer":4},{"info":"compute unary expreesion, input=3411, op_id = VEQNXA0ZBg, unary_op_definition = 'a⪗ = { (a⪢a) }', output=nan","layer":3},{"info":"number node, value=5266","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=5266, right_input=3467, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-791255","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-791255, op_id = D3AQDKkPcf binary_op_definition= 'a∷b = { (a⩚⊴⇥673) , if (b⩷∴24)<=112 ; (a↺b) , else }', 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 unary expreesion, input=nan, op_id = EBhcHTkKd8, unary_op_definition = '⊆⋠a = { ((a⊨a)↯⫤) , if (≉a)>=63 ; ((⫇a)⪄(a∀⋜↑)) , else }', output=3979","layer":0}],"base":4,"result_base":4,"text":"⊆⋠(∷≠((⪩⨒∯311103⪗)∷⪩⨒∯1102102⪪⪩⨒∯312023))=⪩⨒∯332023","reverse_text":"⪩⨒∯332023=⊆⋠(∷≠((⪩⨒∯311103⪗)∷⪩⨒∯1102102⪪⪩⨒∯312023))","cot":[{"info":"⪩⨒∯311103⪗=NaN","layer":3},{"info":"⪩⨒∯1102102⪪⪩⨒∯312023=⪩⨒∯-3001023113","layer":3},{"info":"NaN∷⪩⨒∯-3001023113=NaN","layer":2},{"info":"∷≠NaN=NaN","layer":1},{"info":"⊆⋠NaN=⪩⨒∯332023","layer":0}]}
{"id":968,"expression_no_base_symbol":"(($4485$⪍↜⋙$1442$)∛($6497$⋭≵$4189$)⇄(⇖(⨈⪑$3661$)))∌(($3834$⇉⇱⇎)⇷(⇁⨣⪵$6067$)∲⫓$1183$⇼⇔∾$4494$↸$1626$⩣⫁∢$4897$)","expression":"((⪩⨒∯1012011⪍↜⋙⪩⨒∯112202)∛(⪩⨒∯1211201⋭≵⪩⨒∯1001131)⇄(⇖(⨈⪑⪩⨒∯321031)))∌((⪩⨒∯323322⇉⇱⇎)⇷(⇁⨣⪵⪩⨒∯1132303)∲⫓⪩⨒∯102133⇼⇔∾⪩⨒∯1012032↸⪩⨒∯121122⩣⫁∢⪩⨒∯1030201)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":53995,"operation_count":14,"complexity_ratio":3856.785714285714,"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":4485,"base":4},"right_expr":{"type":"numeric_atoms","value":1442,"base":4}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":6497,"base":4},"right_expr":{"type":"numeric_atoms","value":4189,"base":4}}},"right_expr":{"type":"unary","operator":"⇖","unary_expr":{"type":"unary","operator":"⨈⪑","unary_expr":{"type":"numeric_atoms","value":3661,"base":4}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇉⇱⇎","unary_expr":{"type":"numeric_atoms","value":3834,"base":4}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6067,"base":4}}},"right_expr":{"type":"binary","operator":"↸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1183,"base":4},"right_expr":{"type":"numeric_atoms","value":4494,"base":4}},"right_expr":{"type":"binary","operator":"⩣⫁∢","left_expr":{"type":"numeric_atoms","value":1626,"base":4},"right_expr":{"type":"numeric_atoms","value":4897,"base":4}}}}},"used_operators":["8cLx32lpNA","3EYGwJThht","w2537kitQq","L05ObWFQCd","jBncVCNhdl","tfWHHpNKUN","mp94q5OcYM","i8ToyICDmI","mp7IySMOzn","MRPaB8lBjK","inkyxCbjAn","1eCjFl0mb9","tifHPKVTfV","JDUIKTTSIa"],"dependent_operators":["N41Kp7NANJ","7j4O788W3g","t8gj7n24qd","eLAdDNolq6","DZ8iAZOCBD","i8ToyICDmI","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","rysDP5nf3Z","DZ8iAZOCBD","tifHPKVTfV","EBcxylXtPf","QMFrweE19q","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","2DQ55sFlQl","YjI8oCXuph","09Ly4LVMIf","Bmrmz2XGnR","kbkesczE7y","i8ToyICDmI","IWmyXbctLI","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","QiR2Oyf5Xj","uFcxV4UQCh","EWw2JM7wp4","t8gj7n24qd","keWfFq85dY","B5M0gjZbta","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4485","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=4485, right_input=1442, op_id = L05ObWFQCd binary_op_definition= 'a⪍↜⋙b = { ((a-b)⊉≛↸(a⫡⨏b)) , if (a⫌⩹⨱)!=88 ; ((a⫡⨏b)⇼⇔∾(a⫌⩹⨱)) , else }', output=6086","layer":3},{"info":"number node, value=6497","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=6497, right_input=4189, 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=6086, right_input=67, 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=3661","layer":4},{"info":"compute unary expreesion, input=3661, op_id = mp94q5OcYM, unary_op_definition = '⨈⪑a = { (((⫇a)⫃⨇(89⪮%⊝a))≬⋮((a≚⊃≕a)∲⫓(a⪮%⊝117))) }', output=868","layer":3},{"info":"compute unary expreesion, input=868, op_id = tfWHHpNKUN, unary_op_definition = '⇖a = { (221⨵⪆a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = 3EYGwJThht binary_op_definition= 'a⇄b = { ((≤/b)∲⫓(a⊉≛↸b)) }', output=324","layer":1},{"info":"number node, value=3834","layer":4},{"info":"compute unary expreesion, input=3834, op_id = MRPaB8lBjK, unary_op_definition = 'a⇉⇱⇎ = { (((a/a)⪉⨛(≯757))⪛(∷≠(-a))) }', output=-3616","layer":3},{"info":"number node, value=6067","layer":4},{"info":"compute unary expreesion, input=6067, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3616, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1183","layer":4},{"info":"number node, value=4494","layer":4},{"info":"compute binary expreesion, left_input=1183, right_input=4494, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3311","layer":3},{"info":"number node, value=1626","layer":4},{"info":"number node, value=4897","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=4897, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-3091","layer":3},{"info":"compute binary expreesion, left_input=3311, right_input=-3091, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=3311","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3311, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=324, right_input=0, op_id = 8cLx32lpNA binary_op_definition= 'a∌b = { (248↺a) , if (a≋⫹)>=60 ; (-b) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1012011⪍↜⋙⪩⨒∯112202)∛(⪩⨒∯1211201⋭≵⪩⨒∯1001131)⇄(⇖(⨈⪑⪩⨒∯321031)))∌((⪩⨒∯323322⇉⇱⇎)⇷(⇁⨣⪵⪩⨒∯1132303)∲⫓⪩⨒∯102133⇼⇔∾⪩⨒∯1012032↸⪩⨒∯121122⩣⫁∢⪩⨒∯1030201)=⪩⨒∯0","reverse_text":"⪩⨒∯0=((⪩⨒∯1012011⪍↜⋙⪩⨒∯112202)∛(⪩⨒∯1211201⋭≵⪩⨒∯1001131)⇄(⇖(⨈⪑⪩⨒∯321031)))∌((⪩⨒∯323322⇉⇱⇎)⇷(⇁⨣⪵⪩⨒∯1132303)∲⫓⪩⨒∯102133⇼⇔∾⪩⨒∯1012032↸⪩⨒∯121122⩣⫁∢⪩⨒∯1030201)","cot":[{"info":"⪩⨒∯1012011⪍↜⋙⪩⨒∯112202=⪩⨒∯1133012","layer":3},{"info":"⪩⨒∯1211201⋭≵⪩⨒∯1001131=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1133012∛⪩⨒∯1003=⪩⨒∯1003","layer":2},{"info":"⨈⪑⪩⨒∯321031=⪩⨒∯31210","layer":3},{"info":"⇖⪩⨒∯31210=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯1003⇄⪩⨒∯2200=⪩⨒∯11010","layer":1},{"info":"⪩⨒∯323322⇉⇱⇎=⪩⨒∯-320200","layer":3},{"info":"⇁⨣⪵⪩⨒∯1132303=NaN","layer":3},{"info":"⪩⨒∯-320200⇷NaN=NaN","layer":2},{"info":"⪩⨒∯102133⇼⇔∾⪩⨒∯1012032=⪩⨒∯303233","layer":3},{"info":"⪩⨒∯121122⩣⫁∢⪩⨒∯1030201=⪩⨒∯-300103","layer":3},{"info":"⪩⨒∯303233↸⪩⨒∯-300103=⪩⨒∯303233","layer":2},{"info":"NaN∲⫓⪩⨒∯303233=⪩⨒∯0","layer":1},{"info":"⪩⨒∯11010∌⪩⨒∯0=⪩⨒∯0","layer":0}]}
{"id":969,"expression_no_base_symbol":"(↥$3457$⫥∨⫟$2902$)⊲⩕⊾$2051$⇤$4363$⨟⋌⩍($1535$⫻⋑⊟)⇣⩺⋵($2882$∓⋝$3557$⨉)∓⋝($1082$≧⫂∧$6261$)⨑⩅≇($2691$⩨$1339$)","expression":"(↥⪩⨒∯312001⫥∨⫟⪩⨒∯231112)⊲⩕⊾⪩⨒∯200003⇤⪩⨒∯1010023⨟⋌⩍(⪩⨒∯113333⫻⋑⊟)⇣⩺⋵(⪩⨒∯231002∓⋝⪩⨒∯313211⨉)∓⋝(⪩⨒∯100322≧⫂∧⪩⨒∯1201311)⨑⩅≇(⪩⨒∯222003⩨⪩⨒∯110323)","highest_n_order":4,"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":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3457,"base":4},"right_expr":{"type":"numeric_atoms","value":2902,"base":4}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇤","left_expr":{"type":"numeric_atoms","value":2051,"base":4},"right_expr":{"type":"numeric_atoms","value":4363,"base":4}},"right_expr":{"type":"unary","operator":"⫻⋑⊟","unary_expr":{"type":"numeric_atoms","value":1535,"base":4}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⨉","unary_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2882,"base":4},"right_expr":{"type":"numeric_atoms","value":3557,"base":4}}},"right_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1082,"base":4},"right_expr":{"type":"numeric_atoms","value":6261,"base":4}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2691,"base":4},"right_expr":{"type":"numeric_atoms","value":1339,"base":4}}}}},"used_operators":["F4yD0voBRQ","DmTXOeWf9t","A8NUZmVepG","KYD54nUTWz","rGHVDoGpnC","YSKBFp38Pu","o575Zjdmzy","PoHhknlbAi","aMUSaJuDRU","h92wMvzauj","Ph9nP6C5qx","2DlMacCsIx"],"dependent_operators":["NTOWxs364D","KPf6cnQVty","8jW3W4yZS5","12rbrZMWeM","g55IO6H4Gj","2DlMacCsIx","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","sdazOOVcIp","12rbrZMWeM","xUOZtlo3hN","g55IO6H4Gj","i8ToyICDmI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","tmPS8pqC7x","g55IO6H4Gj","qWUSsah53b","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪩⨒∯-10010","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3457","layer":4},{"info":"number node, value=2902","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=2902, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=2051","layer":4},{"info":"number node, value=4363","layer":4},{"info":"compute binary expreesion, left_input=2051, right_input=4363, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=-29222","layer":3},{"info":"number node, value=1535","layer":4},{"info":"compute unary expreesion, input=1535, op_id = o575Zjdmzy, unary_op_definition = 'a⫻⋑⊟ = { ((a⨸⪁(⨞⊢a))⪨≂((a∲⫓a)⋳⪒(265-a))) }', output=-2560","layer":3},{"info":"compute binary expreesion, left_input=-29222, right_input=-2560, 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 = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=nan","layer":1},{"info":"number node, value=2882","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=2882, right_input=3557, op_id = PoHhknlbAi binary_op_definition= 'a∓⋝b = { (((a⊉≛↸a)⫸⊐(⋼∭⪍b))∩⋅) }', output=67","layer":3},{"info":"compute unary expreesion, input=67, op_id = aMUSaJuDRU, unary_op_definition = 'a⨉ = { ((⫡⇟⇯148)⨸⪁(a⨪↰⇹a)) }', output=2462","layer":2},{"info":"number node, value=1082","layer":4},{"info":"number node, value=6261","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=6261, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5788","layer":3},{"info":"number node, value=2691","layer":4},{"info":"number node, value=1339","layer":4},{"info":"compute binary expreesion, left_input=2691, right_input=1339, 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=5788, 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=-17364","layer":2},{"info":"compute binary expreesion, left_input=2462, right_input=-17364, 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 = F4yD0voBRQ binary_op_definition= 'a⇣⩺⋵b = { (((a⩨565)∺≝⩲(5⨸⪁a))⩚⊴⇥(↯⪼(a⋳⪒b))) }', output=-260","layer":0}],"base":4,"result_base":4,"text":"(↥⪩⨒∯312001⫥∨⫟⪩⨒∯231112)⊲⩕⊾⪩⨒∯200003⇤⪩⨒∯1010023⨟⋌⩍(⪩⨒∯113333⫻⋑⊟)⇣⩺⋵(⪩⨒∯231002∓⋝⪩⨒∯313211⨉)∓⋝(⪩⨒∯100322≧⫂∧⪩⨒∯1201311)⨑⩅≇(⪩⨒∯222003⩨⪩⨒∯110323)=⪩⨒∯-10010","reverse_text":"⪩⨒∯-10010=(↥⪩⨒∯312001⫥∨⫟⪩⨒∯231112)⊲⩕⊾⪩⨒∯200003⇤⪩⨒∯1010023⨟⋌⩍(⪩⨒∯113333⫻⋑⊟)⇣⩺⋵(⪩⨒∯231002∓⋝⪩⨒∯313211⨉)∓⋝(⪩⨒∯100322≧⫂∧⪩⨒∯1201311)⨑⩅≇(⪩⨒∯222003⩨⪩⨒∯110323)","cot":[{"info":"⪩⨒∯312001⫥∨⫟⪩⨒∯231112=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⪩⨒∯200003⇤⪩⨒∯1010023=⪩⨒∯-13020212","layer":3},{"info":"⪩⨒∯113333⫻⋑⊟=⪩⨒∯-220000","layer":3},{"info":"⪩⨒∯-13020212⨟⋌⩍⪩⨒∯-220000=NaN","layer":2},{"info":"NaN⊲⩕⊾NaN=NaN","layer":1},{"info":"⪩⨒∯231002∓⋝⪩⨒∯313211=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯1003⨉=⪩⨒∯212132","layer":2},{"info":"⪩⨒∯100322≧⫂∧⪩⨒∯1201311=⪩⨒∯1122130","layer":3},{"info":"⪩⨒∯222003⩨⪩⨒∯110323=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1122130⨑⩅≇⪩⨒∯0=⪩⨒∯-10033110","layer":2},{"info":"⪩⨒∯212132∓⋝⪩⨒∯-10033110=⪩⨒∯1003","layer":1},{"info":"NaN⇣⩺⋵⪩⨒∯1003=⪩⨒∯-10010","layer":0}]}
{"id":970,"expression_no_base_symbol":"($1478$∝$3356$⫡⨏$5473$⨻⩈⩔$8879$)⊨$3156$⫗⊷⫓$2071$⨂≜($2798$⊭↱$2790$)⋭≵(($6426$⊍⩺⋍$3610$)∣($2857$⇴∐$1409$))⨸((⊙↵-$5729$)⫣⪄⊒($2234$⩧⪆$1560$))","expression":"(⪩⨒∯113012∝⪩⨒∯310130⫡⨏⪩⨒∯1111201⨻⩈⩔⪩⨒∯2022233)⊨⪩⨒∯301110⫗⊷⫓⪩⨒∯200113⨂≜(⪩⨒∯223232⊭↱⪩⨒∯223212)⋭≵((⪩⨒∯1210122⊍⩺⋍⪩⨒∯320122)∣(⪩⨒∯230221⇴∐⪩⨒∯112001))⨸((⊙↵-⪩⨒∯1121201)⫣⪄⊒(⪩⨒∯202322⩧⪆⪩⨒∯120120))","highest_n_order":5,"priority_hierarchical_complexity":14,"normalized_expansion_degree":1615213,"operation_count":15,"complexity_ratio":107680.86666666667,"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":4},"right_expr":{"type":"numeric_atoms","value":3356,"base":4}},"right_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":5473,"base":4},"right_expr":{"type":"numeric_atoms","value":8879,"base":4}}},"right_expr":{"type":"binary","operator":"⨂≜","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":3156,"base":4},"right_expr":{"type":"numeric_atoms","value":2071,"base":4}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2798,"base":4},"right_expr":{"type":"numeric_atoms","value":2790,"base":4}}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"binary","operator":"⊍⩺⋍","left_expr":{"type":"numeric_atoms","value":6426,"base":4},"right_expr":{"type":"numeric_atoms","value":3610,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2857,"base":4},"right_expr":{"type":"numeric_atoms","value":1409,"base":4}}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5729,"base":4}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":2234,"base":4},"right_expr":{"type":"numeric_atoms","value":1560,"base":4}}}}},"used_operators":["jBncVCNhdl","vg4gO5BX6G","QMFrweE19q","cTDWOvIxvz","nEsXyWgiOK","k1SHOSEABc","zashukvMKz","COABgblf1C","KmoU8R5UQR","PPChnnnBFF","OXDGMFPWZM","HnzytWxmAO","RabNbG55vr","oWn0xqSxBt","Ikt5ks8PT7"],"dependent_operators":["RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","7j4O788W3g","W4YGzv6Whe","COABgblf1C","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","t8gj7n24qd","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","kn8WO9XteQ","inkyxCbjAn","13rbtpv6ld","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","eewbuw0ToL","t8gj7n24qd"],"result":"⪩⨒∯1003","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1478","layer":4},{"info":"number node, value=3356","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=3356, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1483","layer":3},{"info":"number node, value=5473","layer":4},{"info":"number node, value=8879","layer":4},{"info":"compute binary expreesion, left_input=5473, right_input=8879, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=35383","layer":3},{"info":"compute binary expreesion, left_input=1483, right_input=35383, 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=78964","layer":2},{"info":"number node, value=3156","layer":4},{"info":"number node, value=2071","layer":4},{"info":"compute binary expreesion, left_input=3156, right_input=2071, 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=2798","layer":4},{"info":"number node, value=2790","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=2790, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-11","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-11, op_id = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=78964, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=316887","layer":1},{"info":"number node, value=6426","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=6426, right_input=3610, op_id = OXDGMFPWZM binary_op_definition= 'a⊍⩺⋍b = { ((⇁⨣⪵659)↤⩊(b⨭⪣a)) }', output=nan","layer":3},{"info":"number node, value=2857","layer":4},{"info":"number node, value=1409","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=1409, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"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":2},{"info":"number node, value=5729","layer":4},{"info":"compute unary expreesion, input=5729, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2234","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=2234, right_input=1560, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-1560","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-1560, 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=nan, right_input=160, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=316887, 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":0}],"base":4,"result_base":4,"text":"(⪩⨒∯113012∝⪩⨒∯310130⫡⨏⪩⨒∯1111201⨻⩈⩔⪩⨒∯2022233)⊨⪩⨒∯301110⫗⊷⫓⪩⨒∯200113⨂≜(⪩⨒∯223232⊭↱⪩⨒∯223212)⋭≵((⪩⨒∯1210122⊍⩺⋍⪩⨒∯320122)∣(⪩⨒∯230221⇴∐⪩⨒∯112001))⨸((⊙↵-⪩⨒∯1121201)⫣⪄⊒(⪩⨒∯202322⩧⪆⪩⨒∯120120))=⪩⨒∯1003","reverse_text":"⪩⨒∯1003=(⪩⨒∯113012∝⪩⨒∯310130⫡⨏⪩⨒∯1111201⨻⩈⩔⪩⨒∯2022233)⊨⪩⨒∯301110⫗⊷⫓⪩⨒∯200113⨂≜(⪩⨒∯223232⊭↱⪩⨒∯223212)⋭≵((⪩⨒∯1210122⊍⩺⋍⪩⨒∯320122)∣(⪩⨒∯230221⇴∐⪩⨒∯112001))⨸((⊙↵-⪩⨒∯1121201)⫣⪄⊒(⪩⨒∯202322⩧⪆⪩⨒∯120120))","cot":[{"info":"⪩⨒∯113012∝⪩⨒∯310130=⪩⨒∯113023","layer":3},{"info":"⪩⨒∯1111201⨻⩈⩔⪩⨒∯2022233=⪩⨒∯20220313","layer":3},{"info":"⪩⨒∯113023⫡⨏⪩⨒∯20220313=⪩⨒∯103101310","layer":2},{"info":"⪩⨒∯301110⫗⊷⫓⪩⨒∯200113=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯223232⊭↱⪩⨒∯223212=⪩⨒∯-23","layer":3},{"info":"⪩⨒∯-2012⨂≜⪩⨒∯-23=NaN","layer":2},{"info":"⪩⨒∯103101310⊨NaN=⪩⨒∯1031113113","layer":1},{"info":"⪩⨒∯1210122⊍⩺⋍⪩⨒∯320122=NaN","layer":3},{"info":"⪩⨒∯230221⇴∐⪩⨒∯112001=NaN","layer":3},{"info":"NaN∣NaN=NaN","layer":2},{"info":"⊙↵-⪩⨒∯1121201=⪩⨒∯-1","layer":3},{"info":"⪩⨒∯202322⩧⪆⪩⨒∯120120=⪩⨒∯-120120","layer":3},{"info":"⪩⨒∯-1⫣⪄⊒⪩⨒∯-120120=⪩⨒∯2200","layer":2},{"info":"NaN⨸⪩⨒∯2200=NaN","layer":1},{"info":"⪩⨒∯1031113113⋭≵NaN=⪩⨒∯1003","layer":0}]}
{"id":971,"expression_no_base_symbol":"(↨⩢⫨($3831$⩌⋺$2306$)≎⪠($4882$⩘$4216$))⫸⇳(($1221$≀⫉$2119$+$4978$⫘$6635$)⨳⩥⨓($1099$⫠)⪥$5003$⫗⊷⫓$2250$)","expression":"(↨⩢⫨(⪩⨒∯323313⩌⋺⪩⨒∯210002)≎⪠(⪩⨒∯1030102⩘⪩⨒∯1001320))⫸⇳((⪩⨒∯103011≀⫉⪩⨒∯201013+⪩⨒∯1031302⫘⪩⨒∯1213223)⨳⩥⨓(⪩⨒∯101023⫠)⪥⪩⨒∯1032023⫗⊷⫓⪩⨒∯203022)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1787641,"operation_count":12,"complexity_ratio":148970.08333333334,"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":3831,"base":4},"right_expr":{"type":"numeric_atoms","value":2306,"base":4}},"right_expr":{"type":"binary","operator":"⩘","left_expr":{"type":"numeric_atoms","value":4882,"base":4},"right_expr":{"type":"numeric_atoms","value":4216,"base":4}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≀⫉","left_expr":{"type":"numeric_atoms","value":1221,"base":4},"right_expr":{"type":"numeric_atoms","value":2119,"base":4}},"right_expr":{"type":"binary","operator":"⫘","left_expr":{"type":"numeric_atoms","value":4978,"base":4},"right_expr":{"type":"numeric_atoms","value":6635,"base":4}}},"right_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"unary","operator":"⫠","unary_expr":{"type":"numeric_atoms","value":1099,"base":4}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5003,"base":4},"right_expr":{"type":"numeric_atoms","value":2250,"base":4}}}}},"used_operators":["gx7XJ7hdpj","Z5CJsN7DuW","aNhz54LH3e","g7Hmc5v1ko","cHh1gJQ2o6","nCS4ZIUYfx","W4YGzv6Whe","oZj3VtZNQx","48vC8HMD2b","QbnwKVWMIQ","6SnOT2rOjz","zashukvMKz"],"dependent_operators":["DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","Noe24qw2ks","gu96TGCTMs","8jW3W4yZS5","AFVx7xoS7T","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","23Mk6UjR3U","eRqsBgTDFp","zVYPLywUTj","bPywburJMS","KPf6cnQVty","YbVcJGFEVW","5twsqlHp2o","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","Tcnh7f0tEr","jBncVCNhdl","FyVja0WsTP","Ikt5ks8PT7","EWw2JM7wp4","cTDWOvIxvz","OwUj7dcsQK","7j4O788W3g","tfWHHpNKUN","3ViojmjbAp","dfKe02y8D2","tcjXMdvYtA","D4vGDi5EA2","86A5ENbKR9","X99M06cbEe","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","Bmrmz2XGnR","tmPS8pqC7x","mp7IySMOzn","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3831","layer":4},{"info":"number node, value=2306","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=2306, 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=-6258","layer":3},{"info":"number node, value=4882","layer":4},{"info":"number node, value=4216","layer":4},{"info":"compute binary expreesion, left_input=4882, right_input=4216, 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=-6258, right_input=160, 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 = Z5CJsN7DuW, unary_op_definition = '↨⩢⫨a = { (((211⨐a)⇌⫙⪟(↯⪼a))⊘) }', output=0","layer":1},{"info":"number node, value=1221","layer":4},{"info":"number node, value=2119","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=2119, op_id = oZj3VtZNQx binary_op_definition= 'a≀⫉b = { (((55≣⋋)∝(a⩷∴a))⊱⇼⊻((a⪉⨛b)⩧⪆(b⋭≵475))) }', output=2822","layer":3},{"info":"number node, value=4978","layer":4},{"info":"number node, value=6635","layer":4},{"info":"compute binary expreesion, left_input=4978, right_input=6635, op_id = 48vC8HMD2b binary_op_definition= 'a⫘b = { ((≘(b⨓a))≫≃) , if ((⇖a)!=319 or (a↺926)<190) ; ((∓a)⫚↹⊑(⪸(a≦≮≮))) , else }', output=5858533","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=5858533, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5861355","layer":2},{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = 6SnOT2rOjz, unary_op_definition = 'a⫠ = { ((a⇷0)⨪↰⇹(a≚⊃≕a)) }', output=0","layer":3},{"info":"number node, value=5003","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=5003, right_input=2250, 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 = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-1798","layer":2},{"info":"compute binary expreesion, left_input=5861355, right_input=-1798, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5863153","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-5863153, op_id = gx7XJ7hdpj binary_op_definition= 'a⫸⇳b = { (((494⋳⪒b)⇼⇔∾(⋗⩬⋾a))↺((b⊦⊿)⨸⪁(b⨵⪆b))) , if a==116 ; (-((a⨰a)⊠≄⫣)) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"(↨⩢⫨(⪩⨒∯323313⩌⋺⪩⨒∯210002)≎⪠(⪩⨒∯1030102⩘⪩⨒∯1001320))⫸⇳((⪩⨒∯103011≀⫉⪩⨒∯201013+⪩⨒∯1031302⫘⪩⨒∯1213223)⨳⩥⨓(⪩⨒∯101023⫠)⪥⪩⨒∯1032023⫗⊷⫓⪩⨒∯203022)=⪩⨒∯0","reverse_text":"⪩⨒∯0=(↨⩢⫨(⪩⨒∯323313⩌⋺⪩⨒∯210002)≎⪠(⪩⨒∯1030102⩘⪩⨒∯1001320))⫸⇳((⪩⨒∯103011≀⫉⪩⨒∯201013+⪩⨒∯1031302⫘⪩⨒∯1213223)⨳⩥⨓(⪩⨒∯101023⫠)⪥⪩⨒∯1032023⫗⊷⫓⪩⨒∯203022)","cot":[{"info":"⪩⨒∯323313⩌⋺⪩⨒∯210002=⪩⨒∯-1201302","layer":3},{"info":"⪩⨒∯1030102⩘⪩⨒∯1001320=⪩⨒∯2200","layer":3},{"info":"⪩⨒∯-1201302≎⪠⪩⨒∯2200=⪩⨒∯10301212","layer":2},{"info":"↨⩢⫨⪩⨒∯10301212=⪩⨒∯0","layer":1},{"info":"⪩⨒∯103011≀⫉⪩⨒∯201013=⪩⨒∯230012","layer":3},{"info":"⪩⨒∯1031302⫘⪩⨒∯1213223=⪩⨒∯112112103211","layer":3},{"info":"⪩⨒∯230012+⪩⨒∯112112103211=⪩⨒∯112112333223","layer":2},{"info":"⪩⨒∯101023⫠=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1032023⫗⊷⫓⪩⨒∯203022=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯0⪥⪩⨒∯-2012=⪩⨒∯-130012","layer":2},{"info":"⪩⨒∯112112333223⨳⩥⨓⪩⨒∯-130012=⪩⨒∯-112113123301","layer":1},{"info":"⪩⨒∯0⫸⇳⪩⨒∯-112113123301=⪩⨒∯0","layer":0}]}
{"id":972,"expression_no_base_symbol":"⪨⨬((∮$2838$⨸$4922$)⋳⪒(∜⨇(⇵⪽$1411$)))","expression":"⪨⨬((∮⪩⨒∯230112⨸⪩⨒∯1030322)⋳⪒(∜⨇(⇵⪽⪩⨒∯112003)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3342,"operation_count":6,"complexity_ratio":557.0,"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":2838,"base":4},"right_expr":{"type":"numeric_atoms","value":4922,"base":4}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"unary","operator":"⇵⪽","unary_expr":{"type":"numeric_atoms","value":1411,"base":4}}}}},"used_operators":["5obUd6DV38","12rbrZMWeM","CqXKPLVYql","KmoU8R5UQR","uFPyJr306J","ZGCBLdVRRX"],"dependent_operators":["T2fj7uvVaJ","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","2Wsdkap16l","eLxqMNBOBk","KbjG8mgYpV","MmTdOpaElr","JclMnS0uGI","bJkvcejdHO","eewbuw0ToL","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","U7g4x0WXJJ"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=2838","layer":4},{"info":"number node, value=4922","layer":4},{"info":"compute binary expreesion, left_input=2838, right_input=4922, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=5676","layer":3},{"info":"compute unary expreesion, input=5676, 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":2},{"info":"number node, value=1411","layer":4},{"info":"compute unary expreesion, input=1411, op_id = ZGCBLdVRRX, unary_op_definition = '⇵⪽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=67, right_input=nan, 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 = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"⪨⨬((∮⪩⨒∯230112⨸⪩⨒∯1030322)⋳⪒(∜⨇(⇵⪽⪩⨒∯112003)))=NaN","reverse_text":"NaN=⪨⨬((∮⪩⨒∯230112⨸⪩⨒∯1030322)⋳⪒(∜⨇(⇵⪽⪩⨒∯112003)))","cot":[{"info":"⪩⨒∯230112⨸⪩⨒∯1030322=⪩⨒∯1120230","layer":3},{"info":"∮⪩⨒∯1120230=⪩⨒∯1003","layer":2},{"info":"⇵⪽⪩⨒∯112003=NaN","layer":3},{"info":"∜⨇NaN=NaN","layer":2},{"info":"⪩⨒∯1003⋳⪒NaN=NaN","layer":1},{"info":"⪨⨬NaN=NaN","layer":0}]}
{"id":973,"expression_no_base_symbol":"⩪∧⨌($1351$⊉↱≁$4105$)⪝($4836$⋻⩜⩜$2490$)≧⫂∧(∑⇻≧$6060$)⨟⋌⩍($2188$%$1538$)","expression":"⩪∧⨌(⪩⨒∯111013⊉↱≁⪩⨒∯1000021)⪝(⪩⨒∯1023210⋻⩜⩜⪩⨒∯212322)≧⫂∧(∑⇻≧⪩⨒∯1132230)⨟⋌⩍(⪩⨒∯202030%⪩⨒∯120002)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":38435,"operation_count":8,"complexity_ratio":4804.375,"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":1351,"base":4},"right_expr":{"type":"numeric_atoms","value":4105,"base":4}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":4836,"base":4},"right_expr":{"type":"numeric_atoms","value":2490,"base":4}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"numeric_atoms","value":6060,"base":4}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2188,"base":4},"right_expr":{"type":"numeric_atoms","value":1538,"base":4}}}}},"used_operators":["6iOiAJX1F8","Ph9nP6C5qx","wicAB68Tmb","w2P8NbNXyL","oDCm7WA9JY","rGHVDoGpnC","l1M9WJ3V7u","k8jYdgA6NY"],"dependent_operators":["P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","eLxqMNBOBk","aSik1wnThz","oacrs7FA3X","9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","Tcnh7f0tEr","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","rysDP5nf3Z"],"result":"⪩⨒∯-1021322","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1351","layer":4},{"info":"number node, value=4105","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=4105, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=-12234","layer":3},{"info":"number node, value=4836","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=4836, right_input=2490, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=9672","layer":3},{"info":"compute binary expreesion, left_input=-12234, right_input=9672, op_id = wicAB68Tmb binary_op_definition= 'a⪝b = { (⨩∲⋌((a⪍↜⋙b)⪘⫢(⫓⪴385))) }', output=-82485","layer":2},{"info":"number node, value=6060","layer":4},{"info":"compute unary expreesion, input=6060, op_id = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":3},{"info":"number node, value=2188","layer":4},{"info":"number node, value=1538","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=1538, op_id = k8jYdgA6NY binary_op_definition= 'None', output=650","layer":3},{"info":"compute binary expreesion, left_input=-852, right_input=650, 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":"compute binary expreesion, left_input=-82485, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"compute unary expreesion, input=-473, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=-4730","layer":0}],"base":4,"result_base":4,"text":"⩪∧⨌(⪩⨒∯111013⊉↱≁⪩⨒∯1000021)⪝(⪩⨒∯1023210⋻⩜⩜⪩⨒∯212322)≧⫂∧(∑⇻≧⪩⨒∯1132230)⨟⋌⩍(⪩⨒∯202030%⪩⨒∯120002)=⪩⨒∯-1021322","reverse_text":"⪩⨒∯-1021322=⩪∧⨌(⪩⨒∯111013⊉↱≁⪩⨒∯1000021)⪝(⪩⨒∯1023210⋻⩜⩜⪩⨒∯212322)≧⫂∧(∑⇻≧⪩⨒∯1132230)⨟⋌⩍(⪩⨒∯202030%⪩⨒∯120002)","cot":[{"info":"⪩⨒∯111013⊉↱≁⪩⨒∯1000021=⪩⨒∯-2333022","layer":3},{"info":"⪩⨒∯1023210⋻⩜⩜⪩⨒∯212322=⪩⨒∯2113020","layer":3},{"info":"⪩⨒∯-2333022⪝⪩⨒∯2113020=⪩⨒∯-110020311","layer":2},{"info":"∑⇻≧⪩⨒∯1132230=⪩⨒∯-31110","layer":3},{"info":"⪩⨒∯202030%⪩⨒∯120002=⪩⨒∯22022","layer":3},{"info":"⪩⨒∯-31110⨟⋌⩍⪩⨒∯22022=⪩⨒∯0","layer":2},{"info":"⪩⨒∯-110020311≧⫂∧⪩⨒∯0=⪩⨒∯-13121","layer":1},{"info":"⩪∧⨌⪩⨒∯-13121=⪩⨒∯-1021322","layer":0}]}
{"id":974,"expression_no_base_symbol":"⫎≠⋺(($2740$⫉⨲⊜$4522$⨹)⨸⪁(⫎≠⋺$6351$)⨽($1834$⩨$2905$))","expression":"⫎≠⋺((⪩⨒∯222310⫉⨲⊜⪩⨒∯1012222⨹)⨸⪁(⫎≠⋺⪩⨒∯1203033)⨽(⪩⨒∯130222⩨⪩⨒∯231121))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3292,"operation_count":7,"complexity_ratio":470.2857142857143,"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":2740,"base":4},"right_expr":{"type":"numeric_atoms","value":4522,"base":4}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":6351,"base":4}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1834,"base":4},"right_expr":{"type":"numeric_atoms","value":2905,"base":4}}}}},"used_operators":["LYeZOJ0nQG","g55IO6H4Gj","UnCoSGIALn","WhqkvtTD3t","8HhzD0ZcuI","2DlMacCsIx"],"dependent_operators":["9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","W4YGzv6Whe","mp7IySMOzn","eewbuw0ToL","zVYPLywUTj","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪩⨒∯0","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2740","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=2740, right_input=4522, 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 = UnCoSGIALn, unary_op_definition = 'a⨹ = { (229⇷a) }', output=0","layer":2},{"info":"number node, value=6351","layer":4},{"info":"compute unary expreesion, input=6351, 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=1834","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=1834, right_input=2905, 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=0, right_input=-3, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1323","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1323, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2646","layer":1},{"info":"compute unary expreesion, input=2646, op_id = LYeZOJ0nQG, unary_op_definition = '⫎≠⋺a = { ((655⩚⊴⇥a)∲⫓(∥⊫86)) , if (a⩷∴509)>=9 ; ((1⊭↱337)⇼⇔∾(a⩷∴a)) , else }', output=0","layer":0}],"base":4,"result_base":4,"text":"⫎≠⋺((⪩⨒∯222310⫉⨲⊜⪩⨒∯1012222⨹)⨸⪁(⫎≠⋺⪩⨒∯1203033)⨽(⪩⨒∯130222⩨⪩⨒∯231121))=⪩⨒∯0","reverse_text":"⪩⨒∯0=⫎≠⋺((⪩⨒∯222310⫉⨲⊜⪩⨒∯1012222⨹)⨸⪁(⫎≠⋺⪩⨒∯1203033)⨽(⪩⨒∯130222⩨⪩⨒∯231121))","cot":[{"info":"⪩⨒∯222310⫉⨲⊜⪩⨒∯1012222=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⨹=⪩⨒∯0","layer":2},{"info":"⫎≠⋺⪩⨒∯1203033=⪩⨒∯0","layer":3},{"info":"⪩⨒∯130222⩨⪩⨒∯231121=⪩⨒∯-3","layer":3},{"info":"⪩⨒∯0⨽⪩⨒∯-3=⪩⨒∯110223","layer":2},{"info":"⪩⨒∯0⨸⪁⪩⨒∯110223=⪩⨒∯221112","layer":1},{"info":"⫎≠⋺⪩⨒∯221112=⪩⨒∯0","layer":0}]}
{"id":975,"expression_no_base_symbol":"(($4591$⪁$3498$)⨂≜($1866$≌$1759$)⊋≦⊧(⪁⇼($3585$≄⊠$4742$)))⪪(⊑$5097$⫗⊷⫓$2412$)∓⋝(($5118$⨎$2852$)⪶≀⋏$1091$⇍⊗$3763$)","expression":"((⪩⨒∯1013233⪁⪩⨒∯312222)⨂≜(⪩⨒∯131022≌⪩⨒∯123133)⊋≦⊧(⪁⇼(⪩⨒∯320001≄⊠⪩⨒∯1022012)))⪪(⊑⪩⨒∯1033221⫗⊷⫓⪩⨒∯211230)∓⋝((⪩⨒∯1033332⨎⪩⨒∯230210)⪶≀⋏⪩⨒∯101003⇍⊗⪩⨒∯322303)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":243275440,"operation_count":13,"complexity_ratio":18713495.384615384,"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":4591,"base":4},"right_expr":{"type":"numeric_atoms","value":3498,"base":4}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"numeric_atoms","value":1866,"base":4},"right_expr":{"type":"numeric_atoms","value":1759,"base":4}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"numeric_atoms","value":3585,"base":4},"right_expr":{"type":"numeric_atoms","value":4742,"base":4}}}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5097,"base":4},"right_expr":{"type":"numeric_atoms","value":2412,"base":4}}},"right_expr":{"type":"binary","operator":"⪶≀⋏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5118,"base":4},"right_expr":{"type":"numeric_atoms","value":2852,"base":4}},"right_expr":{"type":"binary","operator":"⇍⊗","left_expr":{"type":"numeric_atoms","value":1091,"base":4},"right_expr":{"type":"numeric_atoms","value":3763,"base":4}}}}},"used_operators":["xD69zh8xqp","oRDoc9rAEX","k1SHOSEABc","I7sXao9hZE","lyWz822IDG","ZNVVrZ94lY","vXNesLlMH1","PoHhknlbAi","IkUmn0D7oy","zashukvMKz","zR4jO40bMj","rJVOvQCfKK","5uvYHDjeKN"],"dependent_operators":["FU0Cs4j7VP","JclMnS0uGI","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC","9FxExcQeMw","HiPekx5b7W","eLxqMNBOBk","JclMnS0uGI","COABgblf1C","U7g4x0WXJJ","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","W4YGzv6Whe","rysDP5nf3Z","NTOWxs364D","glklzrTFfD","2DDjHMKMc0","g55IO6H4Gj","eewbuw0ToL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4591","layer":4},{"info":"number node, value=3498","layer":4},{"info":"compute binary expreesion, left_input=4591, right_input=3498, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', output=nan","layer":3},{"info":"number node, value=1866","layer":4},{"info":"number node, value=1759","layer":4},{"info":"compute binary expreesion, left_input=1866, right_input=1759, 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 = k1SHOSEABc binary_op_definition= 'a⨂≜b = { ((37⊭↱(⫓⪴a))⩷∴((111⨜⨶78)⨔⇊(a∑⇟⊟b))) }', output=nan","layer":2},{"info":"number node, value=3585","layer":4},{"info":"number node, value=4742","layer":4},{"info":"compute binary expreesion, left_input=3585, right_input=4742, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=80540","layer":3},{"info":"compute unary expreesion, input=80540, 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 = 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=5097","layer":4},{"info":"number node, value=2412","layer":4},{"info":"compute binary expreesion, left_input=5097, right_input=2412, 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 = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":2},{"info":"number node, value=5118","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=5118, right_input=2852, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2852","layer":3},{"info":"number node, value=1091","layer":4},{"info":"number node, value=3763","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=3763, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":3},{"info":"compute binary expreesion, left_input=2852, right_input=-244, op_id = zR4jO40bMj binary_op_definition= 'a⪶≀⋏b = { (((b⨸⪁b)⨸⪁(a-a))⋝⋈⪟(b⋝⋈⪟(b+b))) , if a<244 ; (((b⩚⊴⇥a)⨁⊸⫻)⨰a) , else }', output=-8300","layer":2},{"info":"compute binary expreesion, left_input=192, right_input=-8300, 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 = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1013233⪁⪩⨒∯312222)⨂≜(⪩⨒∯131022≌⪩⨒∯123133)⊋≦⊧(⪁⇼(⪩⨒∯320001≄⊠⪩⨒∯1022012)))⪪(⊑⪩⨒∯1033221⫗⊷⫓⪩⨒∯211230)∓⋝((⪩⨒∯1033332⨎⪩⨒∯230210)⪶≀⋏⪩⨒∯101003⇍⊗⪩⨒∯322303)=NaN","reverse_text":"NaN=((⪩⨒∯1013233⪁⪩⨒∯312222)⨂≜(⪩⨒∯131022≌⪩⨒∯123133)⊋≦⊧(⪁⇼(⪩⨒∯320001≄⊠⪩⨒∯1022012)))⪪(⊑⪩⨒∯1033221⫗⊷⫓⪩⨒∯211230)∓⋝((⪩⨒∯1033332⨎⪩⨒∯230210)⪶≀⋏⪩⨒∯101003⇍⊗⪩⨒∯322303)","cot":[{"info":"⪩⨒∯1013233⪁⪩⨒∯312222=NaN","layer":3},{"info":"⪩⨒∯131022≌⪩⨒∯123133=NaN","layer":3},{"info":"NaN⨂≜NaN=NaN","layer":2},{"info":"⪩⨒∯320001≄⊠⪩⨒∯1022012=⪩⨒∯103222130","layer":3},{"info":"⪁⇼⪩⨒∯103222130=⪩⨒∯12212","layer":2},{"info":"NaN⊋≦⊧⪩⨒∯12212=NaN","layer":1},{"info":"⪩⨒∯1033221⫗⊷⫓⪩⨒∯211230=⪩⨒∯-2012","layer":3},{"info":"⊑⪩⨒∯-2012=⪩⨒∯3000","layer":2},{"info":"⪩⨒∯1033332⨎⪩⨒∯230210=⪩⨒∯230210","layer":3},{"info":"⪩⨒∯101003⇍⊗⪩⨒∯322303=⪩⨒∯-3310","layer":3},{"info":"⪩⨒∯230210⪶≀⋏⪩⨒∯-3310=⪩⨒∯-2001230","layer":2},{"info":"⪩⨒∯3000∓⋝⪩⨒∯-2001230=⪩⨒∯1003","layer":1},{"info":"NaN⪪⪩⨒∯1003=NaN","layer":0}]}
{"id":976,"expression_no_base_symbol":"($2360$⫗⊷⫓$2525$⨭⪣($2426$∙⊟$4032$))⋥⋵⩄($5550$⩌⋺$1670$⊋($2956$⇴∐$1848$))∣(($9095$⨔⇊$3626$)≎⪠($5432$⋾⨃∁$9279$)⨪↰⇹(⪁⇼($3046$⪒⊣⊆$3434$)))","expression":"(⪩⨒∯210320⫗⊷⫓⪩⨒∯213131⨭⪣(⪩⨒∯211322∙⊟⪩⨒∯333000))⋥⋵⩄(⪩⨒∯1112232⩌⋺⪩⨒∯122012⊋(⪩⨒∯232030⇴∐⪩⨒∯130320))∣((⪩⨒∯2032013⨔⇊⪩⨒∯320222)≎⪠(⪩⨒∯1110320⋾⨃∁⪩⨒∯2100333)⨪↰⇹(⪁⇼(⪩⨒∯233212⪒⊣⊆⪩⨒∯311222)))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2011851,"operation_count":14,"complexity_ratio":143703.64285714287,"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":2360,"base":4},"right_expr":{"type":"numeric_atoms","value":2525,"base":4}},"right_expr":{"type":"binary","operator":"∙⊟","left_expr":{"type":"numeric_atoms","value":2426,"base":4},"right_expr":{"type":"numeric_atoms","value":4032,"base":4}}},"right_expr":{"type":"binary","operator":"⊋","left_expr":{"type":"binary","operator":"⩌⋺","left_expr":{"type":"numeric_atoms","value":5550,"base":4},"right_expr":{"type":"numeric_atoms","value":1670,"base":4}},"right_expr":{"type":"binary","operator":"⇴∐","left_expr":{"type":"numeric_atoms","value":2956,"base":4},"right_expr":{"type":"numeric_atoms","value":1848,"base":4}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":9095,"base":4},"right_expr":{"type":"numeric_atoms","value":3626,"base":4}},"right_expr":{"type":"binary","operator":"⋾⨃∁","left_expr":{"type":"numeric_atoms","value":5432,"base":4},"right_expr":{"type":"numeric_atoms","value":9279,"base":4}}},"right_expr":{"type":"unary","operator":"⪁⇼","unary_expr":{"type":"binary","operator":"⪒⊣⊆","left_expr":{"type":"numeric_atoms","value":3046,"base":4},"right_expr":{"type":"numeric_atoms","value":3434,"base":4}}}}},"used_operators":["PPChnnnBFF","7t3wd0Fuz7","kn8WO9XteQ","zashukvMKz","SxTAKzQCrw","W4tP9CfskL","g7Hmc5v1ko","HnzytWxmAO","tmPS8pqC7x","aNhz54LH3e","JclMnS0uGI","212REbPD9h","ZNVVrZ94lY","eRqsBgTDFp"],"dependent_operators":["eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","vRio1gEz1j","61wBmkZwlr","SWo3A1KBJH","8jW3W4yZS5","LkLIoiE525","Y7wcNGrDQJ","PPChnnnBFF","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","6iOiAJX1F8","oWn0xqSxBt","3Oe9XWJUTD","4CyGpkTkEk","CArV6hThFE","PPChnnnBFF","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9FxExcQeMw","W4YGzv6Whe","NTOWxs364D","tifHPKVTfV","sdazOOVcIp","2DQ55sFlQl","t8gj7n24qd","xUOZtlo3hN","i8ToyICDmI","QMFrweE19q","2GS7woTJqF","QbnwKVWMIQ","U7g4x0WXJJ","rJVOvQCfKK","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","sdazOOVcIp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2360","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=2525, 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=2426","layer":4},{"info":"number node, value=4032","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=4032, op_id = SxTAKzQCrw binary_op_definition= 'a∙⊟b = { (⩪∧⨌(a⫲⨊)) , if (b∐⫣)<386 ; ((a∣a)⊝⪿⪼(⊙↵-a)) , else }', output=41384","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=41384, op_id = kn8WO9XteQ binary_op_definition= 'a⨭⪣b = { ((486⇩)⩵∡(a∣a)) , if (b⇯⋐)>445 or (≋b)>319 or b<=69 ; (↯⪼(⇋↷b)) , else }', output=-188","layer":2},{"info":"number node, value=5550","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=5550, right_input=1670, 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=-7341","layer":3},{"info":"number node, value=2956","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=1848, op_id = HnzytWxmAO binary_op_definition= 'a⇴∐b = { (((b+⪬∐b)∑⇟⊟b)⪥a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7341, 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=-188, right_input=nan, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":1},{"info":"number node, value=9095","layer":4},{"info":"number node, value=3626","layer":4},{"info":"compute binary expreesion, left_input=9095, right_input=3626, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=3626","layer":3},{"info":"number node, value=5432","layer":4},{"info":"number node, value=9279","layer":4},{"info":"compute binary expreesion, left_input=5432, right_input=9279, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=860886968","layer":3},{"info":"compute binary expreesion, left_input=3626, right_input=860886968, 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=3046","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=3046, right_input=3434, op_id = eRqsBgTDFp binary_op_definition= 'a⪒⊣⊆b = { (b⪨≂a) , if a<=17 ; (a+a) , else }', output=6092","layer":3},{"info":"compute unary expreesion, input=6092, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=422, 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=19558","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=19558, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯210320⫗⊷⫓⪩⨒∯213131⨭⪣(⪩⨒∯211322∙⊟⪩⨒∯333000))⋥⋵⩄(⪩⨒∯1112232⩌⋺⪩⨒∯122012⊋(⪩⨒∯232030⇴∐⪩⨒∯130320))∣((⪩⨒∯2032013⨔⇊⪩⨒∯320222)≎⪠(⪩⨒∯1110320⋾⨃∁⪩⨒∯2100333)⨪↰⇹(⪁⇼(⪩⨒∯233212⪒⊣⊆⪩⨒∯311222)))=NaN","reverse_text":"NaN=(⪩⨒∯210320⫗⊷⫓⪩⨒∯213131⨭⪣(⪩⨒∯211322∙⊟⪩⨒∯333000))⋥⋵⩄(⪩⨒∯1112232⩌⋺⪩⨒∯122012⊋(⪩⨒∯232030⇴∐⪩⨒∯130320))∣((⪩⨒∯2032013⨔⇊⪩⨒∯320222)≎⪠(⪩⨒∯1110320⋾⨃∁⪩⨒∯2100333)⨪↰⇹(⪁⇼(⪩⨒∯233212⪒⊣⊆⪩⨒∯311222)))","cot":[{"info":"⪩⨒∯210320⫗⊷⫓⪩⨒∯213131=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯211322∙⊟⪩⨒∯333000=⪩⨒∯22012220","layer":3},{"info":"⪩⨒∯-2012⨭⪣⪩⨒∯22012220=⪩⨒∯-2330","layer":2},{"info":"⪩⨒∯1112232⩌⋺⪩⨒∯122012=⪩⨒∯-1302231","layer":3},{"info":"⪩⨒∯232030⇴∐⪩⨒∯130320=NaN","layer":3},{"info":"⪩⨒∯-1302231⊋NaN=NaN","layer":2},{"info":"⪩⨒∯-2330⋥⋵⩄NaN=NaN","layer":1},{"info":"⪩⨒∯2032013⨔⇊⪩⨒∯320222=⪩⨒∯320222","layer":3},{"info":"⪩⨒∯1110320⋾⨃∁⪩⨒∯2100333=⪩⨒∯303110001132320","layer":3},{"info":"⪩⨒∯320222≎⪠⪩⨒∯303110001132320=⪩⨒∯10301212","layer":2},{"info":"⪩⨒∯233212⪒⊣⊆⪩⨒∯311222=⪩⨒∯1133030","layer":3},{"info":"⪁⇼⪩⨒∯1133030=⪩⨒∯12212","layer":2},{"info":"⪩⨒∯10301212⨪↰⇹⪩⨒∯12212=⪩⨒∯10301212","layer":1},{"info":"NaN∣⪩⨒∯10301212=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"(($5676$⇷$1226$)⪭(⫎≠⋺$1694$))⪚(⨞⊢$1740$)⩦($4673$∼$1633$)⊾⪯⋞(+⊝⨔(+⊝⨔$4561$⨑⩅≇$1671$))","expression":"((⪩⨒∯1120230⇷⪩⨒∯103022)⪭(⫎≠⋺⪩⨒∯122132))⪚(⨞⊢⪩⨒∯123030)⩦(⪩⨒∯1021001∼⪩⨒∯121201)⊾⪯⋞(+⊝⨔(+⊝⨔⪩⨒∯1013101⨑⩅≇⪩⨒∯122013))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":81464,"operation_count":11,"complexity_ratio":7405.818181818182,"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":5676,"base":4},"right_expr":{"type":"numeric_atoms","value":1226,"base":4}},"right_expr":{"type":"unary","operator":"⫎≠⋺","unary_expr":{"type":"numeric_atoms","value":1694,"base":4}}},"right_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1740,"base":4}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4673,"base":4},"right_expr":{"type":"numeric_atoms","value":1633,"base":4}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨑⩅≇","left_expr":{"type":"numeric_atoms","value":4561,"base":4},"right_expr":{"type":"numeric_atoms","value":1671,"base":4}}}}},"used_operators":["HK0tfVPux8","HrjLwUk87U","j9kHMeSvPp","mp7IySMOzn","LYeZOJ0nQG","0kmYd0q39Y","xUOZtlo3hN","DyGG3AbaNP","DhbWaqg5eL","h92wMvzauj"],"dependent_operators":["s3Fd5m9Dh2","KFSx94NKJn","MmTdOpaElr","XnXgA4xnOs","fOIeswaMU4","YSKBFp38Pu","oacrs7FA3X","xNBdhnnwKq","9FxExcQeMw","rysDP5nf3Z","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","eH2TOUuTDT","2DDjHMKMc0","COABgblf1C","xUOZtlo3hN","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9FxExcQeMw","NTOWxs364D","P8v4zCKN1o","tifHPKVTfV","i8ToyICDmI","COABgblf1C","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","s3Fd5m9Dh2","3sJ7IOPOlU","nREPSIbpBE","9Isq31Ruls","umQnsF7QlU","8HhzD0ZcuI","u6S6b8DprG","DmTXOeWf9t","AFVx7xoS7T","jLgFTUHLKL","oacrs7FA3X","xNBdhnnwKq"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5676","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=5676, right_input=1226, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2452","layer":3},{"info":"number node, value=1694","layer":4},{"info":"compute unary expreesion, input=1694, 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=2452, right_input=0, op_id = j9kHMeSvPp binary_op_definition= 'a⪭b = { (⨞⊢a) , if a<649 ; (b⊭↱b) , else }', output=5","layer":2},{"info":"number node, value=1740","layer":4},{"info":"compute unary expreesion, input=1740, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1914","layer":3},{"info":"number node, value=4673","layer":4},{"info":"number node, value=1633","layer":4},{"info":"compute binary expreesion, left_input=4673, right_input=1633, 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=-1914, right_input=nan, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = HrjLwUk87U binary_op_definition= 'a⪚b = { (((317⩚⊴⇥a)⋝⋈⪟(518-95))⊉≛↸((97⪐)⩷∴(b⇼⇔∾a))) }', output=nan","layer":1},{"info":"number node, value=4561","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=4561, right_input=1671, 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=-13683","layer":3},{"info":"compute unary expreesion, input=-13683, 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 = 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=nan, right_input=1522, 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":4,"result_base":4,"text":"((⪩⨒∯1120230⇷⪩⨒∯103022)⪭(⫎≠⋺⪩⨒∯122132))⪚(⨞⊢⪩⨒∯123030)⩦(⪩⨒∯1021001∼⪩⨒∯121201)⊾⪯⋞(+⊝⨔(+⊝⨔⪩⨒∯1013101⨑⩅≇⪩⨒∯122013))=NaN","reverse_text":"NaN=((⪩⨒∯1120230⇷⪩⨒∯103022)⪭(⫎≠⋺⪩⨒∯122132))⪚(⨞⊢⪩⨒∯123030)⩦(⪩⨒∯1021001∼⪩⨒∯121201)⊾⪯⋞(+⊝⨔(+⊝⨔⪩⨒∯1013101⨑⩅≇⪩⨒∯122013))","cot":[{"info":"⪩⨒∯1120230⇷⪩⨒∯103022=⪩⨒∯212110","layer":3},{"info":"⫎≠⋺⪩⨒∯122132=⪩⨒∯0","layer":3},{"info":"⪩⨒∯212110⪭⪩⨒∯0=⪩⨒∯11","layer":2},{"info":"⨞⊢⪩⨒∯123030=⪩⨒∯-131322","layer":3},{"info":"⪩⨒∯1021001∼⪩⨒∯121201=NaN","layer":3},{"info":"⪩⨒∯-131322⩦NaN=NaN","layer":2},{"info":"⪩⨒∯11⪚NaN=NaN","layer":1},{"info":"⪩⨒∯1013101⨑⩅≇⪩⨒∯122013=⪩⨒∯-3111303","layer":3},{"info":"+⊝⨔⪩⨒∯-3111303=⪩⨒∯113302","layer":2},{"info":"+⊝⨔⪩⨒∯113302=⪩⨒∯113302","layer":1},{"info":"NaN⊾⪯⋞⪩⨒∯113302=NaN","layer":0}]}
{"id":978,"expression_no_base_symbol":"⊑(⪁⇼($2825$⫗⊷⫓$3176$⫦⪉$1570$∠⫱$2696$))","expression":"⊑(⪁⇼(⪩⨒∯230021⫗⊷⫓⪩⨒∯301220⫦⪉⪩⨒∯120202∠⫱⪩⨒∯222020))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2467511,"operation_count":5,"complexity_ratio":493502.2,"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":2825,"base":4},"right_expr":{"type":"numeric_atoms","value":3176,"base":4}},"right_expr":{"type":"binary","operator":"∠⫱","left_expr":{"type":"numeric_atoms","value":1570,"base":4},"right_expr":{"type":"numeric_atoms","value":2696,"base":4}}}}},"used_operators":["IkUmn0D7oy","ZNVVrZ94lY","wscyQdcy20","zashukvMKz","QvoQhV0rrE"],"dependent_operators":["oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","sdazOOVcIp","2DQ55sFlQl","tifHPKVTfV","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","eLAdDNolq6","DZ8iAZOCBD","7j4O788W3g","tifHPKVTfV","AF7qkfDlqP"],"result":"⪩⨒∯3000","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2825","layer":4},{"info":"number node, value=3176","layer":4},{"info":"compute binary expreesion, left_input=2825, right_input=3176, 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=1570","layer":4},{"info":"number node, value=2696","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=2696, 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=-134, right_input=1234, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=4106","layer":2},{"info":"compute unary expreesion, input=4106, op_id = ZNVVrZ94lY, unary_op_definition = '⪁⇼a = { ((a⨵⪆a)⪨≂(a⇼⇔∾a)) }', output=422","layer":1},{"info":"compute unary expreesion, input=422, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":0}],"base":4,"result_base":4,"text":"⊑(⪁⇼(⪩⨒∯230021⫗⊷⫓⪩⨒∯301220⫦⪉⪩⨒∯120202∠⫱⪩⨒∯222020))=⪩⨒∯3000","reverse_text":"⪩⨒∯3000=⊑(⪁⇼(⪩⨒∯230021⫗⊷⫓⪩⨒∯301220⫦⪉⪩⨒∯120202∠⫱⪩⨒∯222020))","cot":[{"info":"⪩⨒∯230021⫗⊷⫓⪩⨒∯301220=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯120202∠⫱⪩⨒∯222020=⪩⨒∯103102","layer":3},{"info":"⪩⨒∯-2012⫦⪉⪩⨒∯103102=⪩⨒∯1000022","layer":2},{"info":"⪁⇼⪩⨒∯1000022=⪩⨒∯12212","layer":1},{"info":"⊑⪩⨒∯12212=⪩⨒∯3000","layer":0}]}
{"id":979,"expression_no_base_symbol":"(⊲⪭($2780$⨸⪁$1445$)⇂≾⫗($3045$∙∹∝$5745$))⊨((⇜⊴($1863$⨘⋶⪀))⊨(($1830$⫃⨇$2181$)⋳⪒(∟⋨$1989$)))","expression":"(⊲⪭(⪩⨒∯223130⨸⪁⪩⨒∯112211)⇂≾⫗(⪩⨒∯233211∙∹∝⪩⨒∯1121301))⊨((⇜⊴(⪩⨒∯131013⨘⋶⪀))⊨((⪩⨒∯130212⫃⨇⪩⨒∯202011)⋳⪒(∟⋨⪩⨒∯133011)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2265,"operation_count":11,"complexity_ratio":205.9090909090909,"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":2780,"base":4},"right_expr":{"type":"numeric_atoms","value":1445,"base":4}},"right_expr":{"type":"binary","operator":"∙∹∝","left_expr":{"type":"numeric_atoms","value":3045,"base":4},"right_expr":{"type":"numeric_atoms","value":5745,"base":4}}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"⇜⊴","unary_expr":{"type":"unary","operator":"⨘⋶⪀","unary_expr":{"type":"numeric_atoms","value":1863,"base":4}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"numeric_atoms","value":1830,"base":4},"right_expr":{"type":"numeric_atoms","value":2181,"base":4}},"right_expr":{"type":"unary","operator":"∟⋨","unary_expr":{"type":"numeric_atoms","value":1989,"base":4}}}}},"used_operators":["vg4gO5BX6G","k7HXdKtiEU","aBQ6xLxuTc","g55IO6H4Gj","HmxsFra2vL","XwDhCwWbUn","XVKwrhznBb","12rbrZMWeM","09Ly4LVMIf","ctOc4cKSDt"],"dependent_operators":["NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","i8ToyICDmI","xUOZtlo3hN","g7Hmc5v1ko","KPf6cnQVty","vg4gO5BX6G","ruOEQAzv1W","2DlMacCsIx","HrjLwUk87U","W4YGzv6Whe","BjRHVeLaeN","JLbD19bQDL","f6k1SAg4EE","Z2TMIBDE3Q","i8ToyICDmI","WR6HLWljOP","JclMnS0uGI","D309nIvmXG","w2P8NbNXyL","YbVcJGFEVW","DmTXOeWf9t","4CyGpkTkEk","cTDWOvIxvz","jLgFTUHLKL","COABgblf1C","hrf7POJlIJ","TpPTUOHfaN","FyVja0WsTP","UqFzSgLMvQ","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","eLAdDNolq6","tmPS8pqC7x"],"result":"⪩⨒∯233013","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2780","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=1445, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8450","layer":3},{"info":"number node, value=3045","layer":4},{"info":"number node, value=5745","layer":4},{"info":"compute binary expreesion, left_input=3045, right_input=5745, 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=8450, right_input=0, 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 = k7HXdKtiEU, unary_op_definition = '⊲⪭a = { (⨞⊢(a∲⫓0)) }', output=496","layer":1},{"info":"number node, value=1863","layer":4},{"info":"compute unary expreesion, input=1863, op_id = XVKwrhznBb, unary_op_definition = 'a⨘⋶⪀ = { ((326+⇶⊼a)⊱⇼⊻(a⇡)) }', 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":"number node, value=1830","layer":4},{"info":"number node, value=2181","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=2181, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=-8756","layer":3},{"info":"number node, value=1989","layer":4},{"info":"compute unary expreesion, input=1989, op_id = ctOc4cKSDt, unary_op_definition = '∟⋨a = { (≤/(a⨪↰⇹a)) }', output=-1505","layer":3},{"info":"compute binary expreesion, left_input=-8756, right_input=-1505, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-16294","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-16294, 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=496, right_input=nan, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=3015","layer":0}],"base":4,"result_base":4,"text":"(⊲⪭(⪩⨒∯223130⨸⪁⪩⨒∯112211)⇂≾⫗(⪩⨒∯233211∙∹∝⪩⨒∯1121301))⊨((⇜⊴(⪩⨒∯131013⨘⋶⪀))⊨((⪩⨒∯130212⫃⨇⪩⨒∯202011)⋳⪒(∟⋨⪩⨒∯133011)))=⪩⨒∯233013","reverse_text":"⪩⨒∯233013=(⊲⪭(⪩⨒∯223130⨸⪁⪩⨒∯112211)⇂≾⫗(⪩⨒∯233211∙∹∝⪩⨒∯1121301))⊨((⇜⊴(⪩⨒∯131013⨘⋶⪀))⊨((⪩⨒∯130212⫃⨇⪩⨒∯202011)⋳⪒(∟⋨⪩⨒∯133011)))","cot":[{"info":"⪩⨒∯223130⨸⪁⪩⨒∯112211=⪩⨒∯2010002","layer":3},{"info":"⪩⨒∯233211∙∹∝⪩⨒∯1121301=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2010002⇂≾⫗⪩⨒∯0=⪩⨒∯-22132","layer":2},{"info":"⊲⪭⪩⨒∯-22132=⪩⨒∯13300","layer":1},{"info":"⪩⨒∯131013⨘⋶⪀=NaN","layer":3},{"info":"⇜⊴NaN=NaN","layer":2},{"info":"⪩⨒∯130212⫃⨇⪩⨒∯202011=⪩⨒∯-2020310","layer":3},{"info":"∟⋨⪩⨒∯133011=⪩⨒∯-113201","layer":3},{"info":"⪩⨒∯-2020310⋳⪒⪩⨒∯-113201=⪩⨒∯-3332212","layer":2},{"info":"NaN⊨⪩⨒∯-3332212=NaN","layer":1},{"info":"⪩⨒∯13300⊨NaN=⪩⨒∯233013","layer":0}]}
{"id":980,"expression_no_base_symbol":"(∷≠(($4553$∲⫓$3751$)∋$3033$≁↽≥$2864$))⩁⩘($3240$⩦$1371$↙$1688$⋕⪉⪜$2143$)⫁⪎(≪($2818$⪥$1231$))","expression":"(∷≠((⪩⨒∯1013021∲⫓⪩⨒∯322213)∋⪩⨒∯233121≁↽≥⪩⨒∯230300))⩁⩘(⪩⨒∯302220⩦⪩⨒∯111123↙⪩⨒∯122120⋕⪉⪜⪩⨒∯201133)⫁⪎(≪(⪩⨒∯230002⪥⪩⨒∯103033))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3080,"operation_count":11,"complexity_ratio":280.0,"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":4553,"base":4},"right_expr":{"type":"numeric_atoms","value":3751,"base":4}},"right_expr":{"type":"binary","operator":"≁↽≥","left_expr":{"type":"numeric_atoms","value":3033,"base":4},"right_expr":{"type":"numeric_atoms","value":2864,"base":4}}}},"right_expr":{"type":"binary","operator":"⫁⪎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩦","left_expr":{"type":"numeric_atoms","value":3240,"base":4},"right_expr":{"type":"numeric_atoms","value":1371,"base":4}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"numeric_atoms","value":1688,"base":4},"right_expr":{"type":"numeric_atoms","value":2143,"base":4}}},"right_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"binary","operator":"⪥","left_expr":{"type":"numeric_atoms","value":2818,"base":4},"right_expr":{"type":"numeric_atoms","value":1231,"base":4}}}}},"used_operators":["gub5Cegaqo","QiR2Oyf5Xj","ukq6epAj5P","i8ToyICDmI","ncHt1X6cMc","xRrnTEsQ6j","yyfyN0ffXY","0kmYd0q39Y","z6LnFrNh4i","Qtd6bqUJcN","QbnwKVWMIQ"],"dependent_operators":["DpFCA1CohY","IWmyXbctLI","7j4O788W3g","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","W4YGzv6Whe","t8gj7n24qd","oWn0xqSxBt","3Oe9XWJUTD","P8v4zCKN1o","Qy55tPpLXF","tifHPKVTfV","sdazOOVcIp","2DDjHMKMc0","i8ToyICDmI","tmPS8pqC7x","DpFCA1CohY","N41Kp7NANJ","DZ8iAZOCBD","g55IO6H4Gj","QMFrweE19q","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF"],"result":"⪩⨒∯-20313220","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4553","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=4553, right_input=3751, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3033","layer":4},{"info":"number node, value=2864","layer":4},{"info":"compute binary expreesion, left_input=3033, right_input=2864, op_id = ncHt1X6cMc binary_op_definition= 'a≁↽≥b = { (a⊝⪿⪼b) , if b>=116 ; (⊙↵-b) , else }', output=43545","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=43545, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=90171568","layer":2},{"info":"compute unary expreesion, input=90171568, op_id = QiR2Oyf5Xj, unary_op_definition = '∷≠a = { (71↺a) }', output=90171568","layer":1},{"info":"number node, value=3240","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=3240, right_input=1371, op_id = 0kmYd0q39Y binary_op_definition= 'a⩦b = { (a⊉≛↸((a≋⫹)⫡⨏(b⨸⪁45))) }', output=6480","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=2143","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=2143, op_id = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=6480, right_input=2802, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8406","layer":2},{"info":"number node, value=2818","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=2818, right_input=1231, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=15924","layer":3},{"info":"compute unary expreesion, input=15924, op_id = Qtd6bqUJcN, unary_op_definition = '≪a = { ((431⫃⨇a)⪣⫩) , if (a⊍)!=211 or (a⇐≅)==294 ; (↔(a⇼⇔∾a)) , else }', output=913","layer":2},{"info":"compute binary expreesion, left_input=-8406, right_input=913, op_id = xRrnTEsQ6j binary_op_definition= 'a⫁⪎b = { ((b⋝⋈⪟a)⇼⇔∾a) , if (∥⊫b)!=57 ; ((191∲⫓a)⋥≓≎(a⪨≂368)) , else }', output=-9319","layer":1},{"info":"compute binary expreesion, left_input=90171568, right_input=-9319, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=-36328","layer":0}],"base":4,"result_base":4,"text":"(∷≠((⪩⨒∯1013021∲⫓⪩⨒∯322213)∋⪩⨒∯233121≁↽≥⪩⨒∯230300))⩁⩘(⪩⨒∯302220⩦⪩⨒∯111123↙⪩⨒∯122120⋕⪉⪜⪩⨒∯201133)⫁⪎(≪(⪩⨒∯230002⪥⪩⨒∯103033))=⪩⨒∯-20313220","reverse_text":"⪩⨒∯-20313220=(∷≠((⪩⨒∯1013021∲⫓⪩⨒∯322213)∋⪩⨒∯233121≁↽≥⪩⨒∯230300))⩁⩘(⪩⨒∯302220⩦⪩⨒∯111123↙⪩⨒∯122120⋕⪉⪜⪩⨒∯201133)⫁⪎(≪(⪩⨒∯230002⪥⪩⨒∯103033))","cot":[{"info":"⪩⨒∯1013021∲⫓⪩⨒∯322213=⪩⨒∯0","layer":3},{"info":"⪩⨒∯233121≁↽≥⪩⨒∯230300=⪩⨒∯22220121","layer":3},{"info":"⪩⨒∯0∋⪩⨒∯22220121=⪩⨒∯11113332202300","layer":2},{"info":"∷≠⪩⨒∯11113332202300=⪩⨒∯11113332202300","layer":1},{"info":"⪩⨒∯302220⩦⪩⨒∯111123=⪩⨒∯1211100","layer":3},{"info":"⪩⨒∯122120⋕⪉⪜⪩⨒∯201133=⪩⨒∯223302","layer":3},{"info":"⪩⨒∯1211100↙⪩⨒∯223302=⪩⨒∯-2003112","layer":2},{"info":"⪩⨒∯230002⪥⪩⨒∯103033=⪩⨒∯3320310","layer":3},{"info":"≪⪩⨒∯3320310=⪩⨒∯32101","layer":2},{"info":"⪩⨒∯-2003112⫁⪎⪩⨒∯32101=⪩⨒∯-2101213","layer":1},{"info":"⪩⨒∯11113332202300⩁⩘⪩⨒∯-2101213=⪩⨒∯-20313220","layer":0}]}
{"id":981,"expression_no_base_symbol":"((($1042$⋳⪒$1299$)⪛$1232$↢$3539$)⇍⊗(($5041$∪⫐$1205$)⊨$2365$→⨶⪴$2337$))⊉↱≁(⇾⩊⇾((⨑⩽⪐$2415$)⪁($4821$⊜)))","expression":"(((⪩⨒∯100102⋳⪒⪩⨒∯110103)⪛⪩⨒∯103100↢⪩⨒∯313103)⇍⊗((⪩⨒∯1032301∪⫐⪩⨒∯102311)⊨⪩⨒∯210331→⨶⪴⪩⨒∯210201))⊉↱≁(⇾⩊⇾((⨑⩽⪐⪩⨒∯211233)⪁(⪩⨒∯1023111⊜)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19857,"operation_count":12,"complexity_ratio":1654.75,"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":1042,"base":4},"right_expr":{"type":"numeric_atoms","value":1299,"base":4}},"right_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1232,"base":4},"right_expr":{"type":"numeric_atoms","value":3539,"base":4}}},"right_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"binary","operator":"∪⫐","left_expr":{"type":"numeric_atoms","value":5041,"base":4},"right_expr":{"type":"numeric_atoms","value":1205,"base":4}},"right_expr":{"type":"binary","operator":"→⨶⪴","left_expr":{"type":"numeric_atoms","value":2365,"base":4},"right_expr":{"type":"numeric_atoms","value":2337,"base":4}}}},"right_expr":{"type":"unary","operator":"⇾⩊⇾","unary_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2415,"base":4}},"right_expr":{"type":"unary","operator":"⊜","unary_expr":{"type":"numeric_atoms","value":4821,"base":4}}}}},"used_operators":["w2P8NbNXyL","5uvYHDjeKN","uFcxV4UQCh","12rbrZMWeM","WR6HLWljOP","vg4gO5BX6G","7YooWSwCyH","bF6eod5Gvf","bx9Z9DAK5y","I7sXao9hZE","AF7qkfDlqP","Eev2Q7dYIw"],"dependent_operators":["9FxExcQeMw","e1ybzncUwg","sdazOOVcIp","t8gj7n24qd","eewbuw0ToL","Uaa54Peajs","DZ8iAZOCBD","ddLRYrp01A","3sJ7IOPOlU","5twsqlHp2o","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","rJVOvQCfKK","2DDjHMKMc0","8w2t5hMYqp","9FxExcQeMw","W4YGzv6Whe","BjRHVeLaeN","8w2t5hMYqp","QMFrweE19q","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","g55IO6H4Gj","D4vGDi5EA2","P8v4zCKN1o"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":4},{"info":"number node, value=1299","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1299, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=498","layer":3},{"info":"number node, value=1232","layer":4},{"info":"number node, value=3539","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=3539, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=748","layer":3},{"info":"compute binary expreesion, left_input=498, right_input=748, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=498","layer":2},{"info":"number node, value=5041","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=5041, right_input=1205, op_id = 7YooWSwCyH binary_op_definition= 'a∪⫐b = { ((a⋝⋈⪟b)⨎a) }', output=5041","layer":3},{"info":"number node, value=2365","layer":4},{"info":"number node, value=2337","layer":4},{"info":"compute binary expreesion, left_input=2365, right_input=2337, op_id = bF6eod5Gvf binary_op_definition= 'a→⨶⪴b = { (a⩷∴b) , if b<109 ; (⊄⩳↩b) , else }', output=-7011","layer":3},{"info":"compute binary expreesion, left_input=5041, right_input=-7011, op_id = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=21195","layer":2},{"info":"compute binary expreesion, left_input=498, right_input=21195, op_id = 5uvYHDjeKN binary_op_definition= 'a⇍⊗b = { (((b⊉≛↸b)⪇≇⋚(447⊉≛↸a))⊢(∂(b∊∟⩊b))) }', output=-244","layer":1},{"info":"number node, value=2415","layer":4},{"info":"compute unary expreesion, input=2415, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2142","layer":3},{"info":"number node, value=4821","layer":4},{"info":"compute unary expreesion, input=4821, op_id = Eev2Q7dYIw, unary_op_definition = 'a⊜ = { ((a≦≮≮)⨸⪁(∥⊫a)) }', output=-17548","layer":3},{"info":"compute binary expreesion, left_input=-2142, right_input=-17548, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢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":"compute binary expreesion, left_input=-244, right_input=nan, op_id = w2P8NbNXyL binary_op_definition= 'a⊉↱≁b = { ((≉(a⨰b))⪨≂((145⩷∴a)⪨≂(-b))) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(((⪩⨒∯100102⋳⪒⪩⨒∯110103)⪛⪩⨒∯103100↢⪩⨒∯313103)⇍⊗((⪩⨒∯1032301∪⫐⪩⨒∯102311)⊨⪩⨒∯210331→⨶⪴⪩⨒∯210201))⊉↱≁(⇾⩊⇾((⨑⩽⪐⪩⨒∯211233)⪁(⪩⨒∯1023111⊜)))=NaN","reverse_text":"NaN=(((⪩⨒∯100102⋳⪒⪩⨒∯110103)⪛⪩⨒∯103100↢⪩⨒∯313103)⇍⊗((⪩⨒∯1032301∪⫐⪩⨒∯102311)⊨⪩⨒∯210331→⨶⪴⪩⨒∯210201))⊉↱≁(⇾⩊⇾((⨑⩽⪐⪩⨒∯211233)⪁(⪩⨒∯1023111⊜)))","cot":[{"info":"⪩⨒∯100102⋳⪒⪩⨒∯110103=⪩⨒∯13302","layer":3},{"info":"⪩⨒∯103100↢⪩⨒∯313103=⪩⨒∯23230","layer":3},{"info":"⪩⨒∯13302⪛⪩⨒∯23230=⪩⨒∯13302","layer":2},{"info":"⪩⨒∯1032301∪⫐⪩⨒∯102311=⪩⨒∯1032301","layer":3},{"info":"⪩⨒∯210331→⨶⪴⪩⨒∯210201=⪩⨒∯-1231203","layer":3},{"info":"⪩⨒∯1032301⊨⪩⨒∯-1231203=⪩⨒∯11023023","layer":2},{"info":"⪩⨒∯13302⇍⊗⪩⨒∯11023023=⪩⨒∯-3310","layer":1},{"info":"⨑⩽⪐⪩⨒∯211233=⪩⨒∯-201132","layer":3},{"info":"⪩⨒∯1023111⊜=⪩⨒∯-10102030","layer":3},{"info":"⪩⨒∯-201132⪁⪩⨒∯-10102030=NaN","layer":2},{"info":"⇾⩊⇾NaN=NaN","layer":1},{"info":"⪩⨒∯-3310⊉↱≁NaN=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"(((⪨⨬$4037$)↸$4458$⨔⇊$1069$)⊋($1575$⪘⫢$1842$)⋹⋡⊁($7796$⪄$2810$))⪃⊛⇣(($5293$⫗⊷⫓$2732$⫃⨇(↩⪖$4015$))⩼⇪↪($2275$∌↝$3849$)∺≝⩲($1286$⊲⩕⊾$6744$))","expression":"(((⪨⨬⪩⨒∯333011)↸⪩⨒∯1011222⨔⇊⪩⨒∯100231)⊋(⪩⨒∯120213⪘⫢⪩⨒∯130302)⋹⋡⊁(⪩⨒∯1321310⪄⪩⨒∯223322))⪃⊛⇣((⪩⨒∯1102231⫗⊷⫓⪩⨒∯222230⫃⨇(↩⪖⪩⨒∯332233))⩼⇪↪(⪩⨒∯203203∌↝⪩⨒∯330021)∺≝⩲(⪩⨒∯110012⊲⩕⊾⪩⨒∯1221120))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2172321,"operation_count":15,"complexity_ratio":144821.4,"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":4037,"base":4}},"right_expr":{"type":"binary","operator":"⨔⇊","left_expr":{"type":"numeric_atoms","value":4458,"base":4},"right_expr":{"type":"numeric_atoms","value":1069,"base":4}}},"right_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1575,"base":4},"right_expr":{"type":"numeric_atoms","value":1842,"base":4}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7796,"base":4},"right_expr":{"type":"numeric_atoms","value":2810,"base":4}}}},"right_expr":{"type":"binary","operator":"⩼⇪↪","left_expr":{"type":"binary","operator":"⫃⨇","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5293,"base":4},"right_expr":{"type":"numeric_atoms","value":2732,"base":4}},"right_expr":{"type":"unary","operator":"↩⪖","unary_expr":{"type":"numeric_atoms","value":4015,"base":4}}},"right_expr":{"type":"binary","operator":"∺≝⩲","left_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":2275,"base":4},"right_expr":{"type":"numeric_atoms","value":3849,"base":4}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"numeric_atoms","value":1286,"base":4},"right_expr":{"type":"numeric_atoms","value":6744,"base":4}}}}},"used_operators":["rrgAzCduG9","W4tP9CfskL","1eCjFl0mb9","5obUd6DV38","JclMnS0uGI","As8RqfVLgs","oacrs7FA3X","SUmda5xLS4","ocnLzx9CaJ","09Ly4LVMIf","zashukvMKz","fG6uBQFnGz","KPf6cnQVty","9Isq31Ruls","DmTXOeWf9t"],"dependent_operators":["Ez1Nq5fNfI","AHs5Up7iyr","2DDjHMKMc0","7IPrd9c3lf","8cLx32lpNA","2GS7woTJqF","18saOjeKKm","XPYlsWDdGa","JDUIKTTSIa","9HNa5Wba9A","XIabStNQrY","0kmYd0q39Y","Ph9nP6C5qx","eewbuw0ToL","7IPrd9c3lf","YSKBFp38Pu","9HNa5Wba9A","61wBmkZwlr","rJVOvQCfKK","T2fj7uvVaJ","nlCqmYiOvY","9FxExcQeMw","Qy55tPpLXF","N41Kp7NANJ","DZ8iAZOCBD","f6k1SAg4EE","14qkJME0vr","i8ToyICDmI","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","rysDP5nf3Z","BjRHVeLaeN","eH2TOUuTDT","2DQ55sFlQl","QMFrweE19q","9FxExcQeMw","DIvbN7qnHd","u6S6b8DprG","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","rysDP5nf3Z","DpFCA1CohY","e1ybzncUwg","XIabStNQrY","eH2TOUuTDT","2DQ55sFlQl","Ph9nP6C5qx","Z2TMIBDE3Q","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","BjRHVeLaeN","glklzrTFfD","sdazOOVcIp","2DQ55sFlQl","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C"],"result":"⪩⨒∯103102","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4037","layer":4},{"info":"compute unary expreesion, input=4037, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"number node, value=4458","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=4458, right_input=1069, op_id = JclMnS0uGI binary_op_definition= 'a⨔⇊b = { (((a⊦⊿)⩷∴(b⊉≛↸b))⋥≓≎(b⪒(51∲⫓b))) , if (b≋⫹)>106 ; b , else }', output=1069","layer":3},{"info":"compute binary expreesion, left_input=-526, right_input=1069, op_id = 1eCjFl0mb9 binary_op_definition= 'a↸b = { ((b*a)⨎(≋a)) }', output=-526","layer":2},{"info":"number node, value=1575","layer":4},{"info":"number node, value=1842","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1842, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3026","layer":3},{"info":"number node, value=7796","layer":4},{"info":"number node, value=2810","layer":4},{"info":"compute binary expreesion, left_input=7796, right_input=2810, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1161137","layer":3},{"info":"compute binary expreesion, left_input=3026, right_input=-1161137, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=23946","layer":2},{"info":"compute binary expreesion, left_input=-526, right_input=23946, 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=-inf","layer":1},{"info":"number node, value=5293","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=5293, right_input=2732, 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=4015","layer":4},{"info":"compute unary expreesion, input=4015, op_id = fG6uBQFnGz, unary_op_definition = '↩⪖a = { (((a-a)⨵⪆(a⪐))⫡⨏(a⩤)) , if (a⇋≉)==322 ; (((≉487)⨳⩥⨓(⋗⩬⋾a))⨸⪁((a⊦⊿)≧⫂∧(a∲⫓a))) , else }', output=-27072","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-27072, op_id = 09Ly4LVMIf binary_op_definition= 'a⫃⨇b = { ((↽≂b)⩷∴(a⊠≄⫣)) }', output=108256","layer":2},{"info":"number node, value=2275","layer":4},{"info":"number node, value=3849","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=3849, 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=1286","layer":4},{"info":"number node, value=6744","layer":4},{"info":"compute binary expreesion, left_input=1286, right_input=6744, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-84646","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-84646, op_id = KPf6cnQVty binary_op_definition= 'a∺≝⩲b = { (((b⪨≂b)⨁⊸⫻)⨵⪆(a⫩⊇)) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=108256, right_input=160, op_id = ocnLzx9CaJ binary_op_definition= 'a⩼⇪↪b = { ((a⪐)-(b⫡⨏b)) , if (a⫩⊇)!=96 ; (148⨵⪆(a⩷∴b)) , else }', output=214609","layer":1},{"info":"compute binary expreesion, left_input=-inf, right_input=214609, op_id = rrgAzCduG9 binary_op_definition= 'a⪃⊛⇣b = { ((b∌b)⊵↤) , if b==348 ; ((a≹⇙⪍a)⪬(a⋝⋈⪟a)) , else }', output=1234","layer":0}],"base":4,"result_base":4,"text":"(((⪨⨬⪩⨒∯333011)↸⪩⨒∯1011222⨔⇊⪩⨒∯100231)⊋(⪩⨒∯120213⪘⫢⪩⨒∯130302)⋹⋡⊁(⪩⨒∯1321310⪄⪩⨒∯223322))⪃⊛⇣((⪩⨒∯1102231⫗⊷⫓⪩⨒∯222230⫃⨇(↩⪖⪩⨒∯332233))⩼⇪↪(⪩⨒∯203203∌↝⪩⨒∯330021)∺≝⩲(⪩⨒∯110012⊲⩕⊾⪩⨒∯1221120))=⪩⨒∯103102","reverse_text":"⪩⨒∯103102=(((⪨⨬⪩⨒∯333011)↸⪩⨒∯1011222⨔⇊⪩⨒∯100231)⊋(⪩⨒∯120213⪘⫢⪩⨒∯130302)⋹⋡⊁(⪩⨒∯1321310⪄⪩⨒∯223322))⪃⊛⇣((⪩⨒∯1102231⫗⊷⫓⪩⨒∯222230⫃⨇(↩⪖⪩⨒∯332233))⩼⇪↪(⪩⨒∯203203∌↝⪩⨒∯330021)∺≝⩲(⪩⨒∯110012⊲⩕⊾⪩⨒∯1221120))","cot":[{"info":"⪨⨬⪩⨒∯333011=⪩⨒∯-20032","layer":3},{"info":"⪩⨒∯1011222⨔⇊⪩⨒∯100231=⪩⨒∯100231","layer":3},{"info":"⪩⨒∯-20032↸⪩⨒∯100231=⪩⨒∯-20032","layer":2},{"info":"⪩⨒∯120213⪘⫢⪩⨒∯130302=⪩⨒∯233102","layer":3},{"info":"⪩⨒∯1321310⪄⪩⨒∯223322=⪩⨒∯-10123132301","layer":3},{"info":"⪩⨒∯233102⋹⋡⊁⪩⨒∯-10123132301=⪩⨒∯11312022","layer":2},{"info":"⪩⨒∯-20032⊋⪩⨒∯11312022=-Inf","layer":1},{"info":"⪩⨒∯1102231⫗⊷⫓⪩⨒∯222230=⪩⨒∯-2012","layer":3},{"info":"↩⪖⪩⨒∯332233=⪩⨒∯-12213000","layer":3},{"info":"⪩⨒∯-2012⫃⨇⪩⨒∯-12213000=⪩⨒∯122123200","layer":2},{"info":"⪩⨒∯203203∌↝⪩⨒∯330021=⪩⨒∯0","layer":3},{"info":"⪩⨒∯110012⊲⩕⊾⪩⨒∯1221120=⪩⨒∯-110222212","layer":3},{"info":"⪩⨒∯0∺≝⩲⪩⨒∯-110222212=⪩⨒∯2200","layer":2},{"info":"⪩⨒∯122123200⩼⇪↪⪩⨒∯2200=⪩⨒∯310121101","layer":1},{"info":"-Inf⪃⊛⇣⪩⨒∯310121101=⪩⨒∯103102","layer":0}]}
{"id":983,"expression_no_base_symbol":"(($4410$↳≱$1153$)↤⩊(≔$1588$)⋛($1012$⨪↰⇹$1014$⪇≇⋚($1964$⨎⋸⪻)))∥⊢⊲(⊁⨺($1333$∣$1238$)⋥⋵⩄($1259$∠↢$1558$))","expression":"((⪩⨒∯1010322↳≱⪩⨒∯102001)↤⩊(≔⪩⨒∯120310)⋛(⪩⨒∯33310⨪↰⇹⪩⨒∯33312⪇≇⋚(⪩⨒∯132230⨎⋸⪻)))∥⊢⊲(⊁⨺(⪩⨒∯110311∣⪩⨒∯103112)⋥⋵⩄(⪩⨒∯103223∠↢⪩⨒∯120112))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1649,"operation_count":12,"complexity_ratio":137.41666666666666,"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":4410,"base":4},"right_expr":{"type":"numeric_atoms","value":1153,"base":4}},"right_expr":{"type":"unary","operator":"≔","unary_expr":{"type":"numeric_atoms","value":1588,"base":4}}},"right_expr":{"type":"binary","operator":"⪇≇⋚","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1012,"base":4},"right_expr":{"type":"numeric_atoms","value":1014,"base":4}},"right_expr":{"type":"unary","operator":"⨎⋸⪻","unary_expr":{"type":"numeric_atoms","value":1964,"base":4}}}},"right_expr":{"type":"unary","operator":"⊁⨺","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":1333,"base":4},"right_expr":{"type":"numeric_atoms","value":1238,"base":4}},"right_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":1259,"base":4},"right_expr":{"type":"numeric_atoms","value":1558,"base":4}}}}},"used_operators":["v1UQAVDJRr","YbUVn0Rbpy","13rbtpv6ld","JwTKLfZU96","8FLs4eVsLt","3sJ7IOPOlU","tmPS8pqC7x","Dk5vyLCiGd","PxiHyQbrIp","7t3wd0Fuz7","PPChnnnBFF","KbjG8mgYpV"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","s1XTVnmDOJ","wEfv7U73WA","9cloC0Ngie","KPf6cnQVty","KYD54nUTWz","k8jYdgA6NY","DhbWaqg5eL","WR6HLWljOP","XhwjNDsVaA","T2fj7uvVaJ","7YooWSwCyH","B3sABdIn96","uPb5QRN0te","VwlE7vj6HS","3mBM5G4a3l","8HhzD0ZcuI","BUOGQAYlQx","AYdpE9sXAk","DZ8iAZOCBD","JLbD19bQDL","xUOZtlo3hN","rJVOvQCfKK","IWmyXbctLI","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C"],"result":"⪩⨒∯2200","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4410","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=4410, right_input=1153, 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":"compute unary expreesion, input=1588, op_id = 8FLs4eVsLt, unary_op_definition = '≔a = { (⋃(⋂a)) , if (⨂⪏⇭a)<=427 or (a↫)>=16 ; ((a⨽194)↯⫤) , else }', output=-43170","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-43170, 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=1012","layer":4},{"info":"number node, value=1014","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=1014, 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=1012","layer":3},{"info":"number node, value=1964","layer":4},{"info":"compute unary expreesion, input=1964, op_id = Dk5vyLCiGd, unary_op_definition = 'a⨎⋸⪻ = { (a⪮%⊝26) }', output=4244","layer":3},{"info":"compute binary expreesion, left_input=1012, right_input=4244, op_id = 3sJ7IOPOlU binary_op_definition= 'a⪇≇⋚b = { ((⨞⊢(a⊉≛↸b))⪠⩆⊳) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":1},{"info":"number node, value=1333","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=1238, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=1333","layer":3},{"info":"number node, value=1259","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1259, right_input=1558, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-25766","layer":3},{"info":"compute binary expreesion, left_input=1333, right_input=-25766, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=253450","layer":2},{"info":"compute unary expreesion, input=253450, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=160","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1010322↳≱⪩⨒∯102001)↤⩊(≔⪩⨒∯120310)⋛(⪩⨒∯33310⨪↰⇹⪩⨒∯33312⪇≇⋚(⪩⨒∯132230⨎⋸⪻)))∥⊢⊲(⊁⨺(⪩⨒∯110311∣⪩⨒∯103112)⋥⋵⩄(⪩⨒∯103223∠↢⪩⨒∯120112))=⪩⨒∯2200","reverse_text":"⪩⨒∯2200=((⪩⨒∯1010322↳≱⪩⨒∯102001)↤⩊(≔⪩⨒∯120310)⋛(⪩⨒∯33310⨪↰⇹⪩⨒∯33312⪇≇⋚(⪩⨒∯132230⨎⋸⪻)))∥⊢⊲(⊁⨺(⪩⨒∯110311∣⪩⨒∯103112)⋥⋵⩄(⪩⨒∯103223∠↢⪩⨒∯120112))","cot":[{"info":"⪩⨒∯1010322↳≱⪩⨒∯102001=⪩⨒∯0","layer":3},{"info":"≔⪩⨒∯120310=⪩⨒∯-22202202","layer":3},{"info":"⪩⨒∯0↤⩊⪩⨒∯-22202202=NaN","layer":2},{"info":"⪩⨒∯33310⨪↰⇹⪩⨒∯33312=⪩⨒∯33310","layer":3},{"info":"⪩⨒∯132230⨎⋸⪻=⪩⨒∯1002110","layer":3},{"info":"⪩⨒∯33310⪇≇⋚⪩⨒∯1002110=⪩⨒∯0","layer":2},{"info":"NaN⋛⪩⨒∯0=NaN","layer":1},{"info":"⪩⨒∯110311∣⪩⨒∯103112=⪩⨒∯110311","layer":3},{"info":"⪩⨒∯103223∠↢⪩⨒∯120112=⪩⨒∯-12102212","layer":3},{"info":"⪩⨒∯110311⋥⋵⩄⪩⨒∯-12102212=⪩⨒∯331320022","layer":2},{"info":"⊁⨺⪩⨒∯331320022=⪩⨒∯2200","layer":1},{"info":"NaN∥⊢⊲⪩⨒∯2200=⪩⨒∯2200","layer":0}]}
{"id":984,"expression_no_base_symbol":"($1451$⩍⋽⫝̸$4682$⫰⋱$3287$⩧⪆$7098$⩹$5715$↺$3990$⫔⩽⩺$1066$∛$1408$)⪛⫼($4752$∠↢$3692$)≎⪠(⩪∧⨌$3274$)⫯⪬∳($3634$⩁⩘$7688$⊲⩕⊾$5500$⩁⩘$7349$)","expression":"(⪩⨒∯112223⩍⋽⫝̸⪩⨒∯1021022⫰⋱⪩⨒∯303113⩧⪆⪩⨒∯1232322⩹⪩⨒∯1121103↺⪩⨒∯332112⫔⩽⩺⪩⨒∯100222∛⪩⨒∯112000)⪛⫼(⪩⨒∯1022100∠↢⪩⨒∯321230)≎⪠(⩪∧⨌⪩⨒∯303022)⫯⪬∳(⪩⨒∯320302⩁⩘⪩⨒∯1320020⊲⩕⊾⪩⨒∯1111330⩁⩘⪩⨒∯1302311)","highest_n_order":4,"priority_hierarchical_complexity":12,"normalized_expansion_degree":25416,"operation_count":15,"complexity_ratio":1694.4,"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":1451,"base":4},"right_expr":{"type":"numeric_atoms","value":4682,"base":4}},"right_expr":{"type":"binary","operator":"⩧⪆","left_expr":{"type":"numeric_atoms","value":3287,"base":4},"right_expr":{"type":"numeric_atoms","value":7098,"base":4}}},"right_expr":{"type":"binary","operator":"⫔⩽⩺","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5715,"base":4},"right_expr":{"type":"numeric_atoms","value":3990,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1066,"base":4},"right_expr":{"type":"numeric_atoms","value":1408,"base":4}}}},"right_expr":{"type":"binary","operator":"⫯⪬∳","left_expr":{"type":"binary","operator":"≎⪠","left_expr":{"type":"binary","operator":"∠↢","left_expr":{"type":"numeric_atoms","value":4752,"base":4},"right_expr":{"type":"numeric_atoms","value":3692,"base":4}},"right_expr":{"type":"unary","operator":"⩪∧⨌","unary_expr":{"type":"numeric_atoms","value":3274,"base":4}}},"right_expr":{"type":"binary","operator":"⊲⩕⊾","left_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":3634,"base":4},"right_expr":{"type":"numeric_atoms","value":7688,"base":4}},"right_expr":{"type":"binary","operator":"⩁⩘","left_expr":{"type":"numeric_atoms","value":5500,"base":4},"right_expr":{"type":"numeric_atoms","value":7349,"base":4}}}}},"used_operators":["hyuBjUqXlG","2Wsdkap16l","6o9Blt3TJ6","BiWNJpBvwn","Ikt5ks8PT7","i9eR4S00cU","7j4O788W3g","w2537kitQq","d7ASUq0ydm","aNhz54LH3e","KbjG8mgYpV","6iOiAJX1F8","DmTXOeWf9t","gub5Cegaqo"],"dependent_operators":["HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","rysDP5nf3Z","NTOWxs364D","23Mk6UjR3U","XIabStNQrY","2DDjHMKMc0","12rbrZMWeM","Ph9nP6C5qx","g55IO6H4Gj","eewbuw0ToL","nCS4ZIUYfx","W4YGzv6Whe","nCS4ZIUYfx","Qy55tPpLXF","Ph9nP6C5qx","xUOZtlo3hN","eewbuw0ToL","t8gj7n24qd","Tw270M8GLb","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","Qy55tPpLXF","BjRHVeLaeN","8w2t5hMYqp","Ph9nP6C5qx","eewbuw0ToL","D4vGDi5EA2","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","rysDP5nf3Z","NTOWxs364D","XPYlsWDdGa","t8gj7n24qd","xUOZtlo3hN","g55IO6H4Gj","QMFrweE19q","nCS4ZIUYfx","COABgblf1C","P8v4zCKN1o","23Mk6UjR3U","7j4O788W3g","f6k1SAg4EE","g55IO6H4Gj","23Mk6UjR3U","DZ8iAZOCBD","BjRHVeLaeN","QMFrweE19q","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","IWmyXbctLI"],"result":"⪩⨒∯33020","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1451","layer":4},{"info":"number node, value=4682","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=4682, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=3736","layer":3},{"info":"number node, value=3287","layer":4},{"info":"number node, value=7098","layer":4},{"info":"compute binary expreesion, left_input=3287, right_input=7098, op_id = Ikt5ks8PT7 binary_op_definition= 'a⩧⪆b = { (a⨰b) , if a==228 ; (-b) , else }', output=-7098","layer":3},{"info":"compute binary expreesion, left_input=3736, right_input=-7098, op_id = 6o9Blt3TJ6 binary_op_definition= 'a⫰⋱b = { ((a+b)⨳⩥⨓(b⋥≓≎b)) }', output=3429","layer":2},{"info":"number node, value=5715","layer":4},{"info":"number node, value=3990","layer":4},{"info":"compute binary expreesion, left_input=5715, right_input=3990, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3990","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1408, 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=3990, right_input=67, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3429, 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":"number node, value=4752","layer":4},{"info":"number node, value=3692","layer":4},{"info":"compute binary expreesion, left_input=4752, right_input=3692, op_id = KbjG8mgYpV binary_op_definition= 'a∠↢b = { (a⊭↱((159⨳⩥⨓16)-(b⨸⪁a))) , if (b==488 or (⨞⊢a)==254) ; (⪲⇎((-b)⫡⨏(b⩚⊴⇥a))) , else }', output=-69614","layer":3},{"info":"number node, value=3274","layer":4},{"info":"compute unary expreesion, input=3274, op_id = 6iOiAJX1F8, unary_op_definition = '⩪∧⨌a = { (∥⊫a) , if ((a⋷517)==285 and (a⪒780)<=108) ; ((a↺a)⨸⪁(a⨸⪁a)) , else }', output=32740","layer":3},{"info":"compute binary expreesion, left_input=-69614, right_input=32740, 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=3634","layer":4},{"info":"number node, value=7688","layer":4},{"info":"compute binary expreesion, left_input=3634, right_input=7688, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=31700","layer":3},{"info":"number node, value=5500","layer":4},{"info":"number node, value=7349","layer":4},{"info":"compute binary expreesion, left_input=5500, right_input=7349, op_id = gub5Cegaqo binary_op_definition= 'a⩁⩘b = { ((b⪮%⊝b)⪮%⊝(⋗⩬⋾a)) }', output=30344","layer":3},{"info":"compute binary expreesion, left_input=31700, right_input=30344, op_id = DmTXOeWf9t binary_op_definition= 'a⊲⩕⊾b = { (((a⊉≛↸b)⊭↱(⨑⩽⪐b))⫡⨏((a⫩⊇)⋷(a⊉≛↸b))) }', output=-807270","layer":2},{"info":"compute binary expreesion, left_input=19558, right_input=-807270, op_id = d7ASUq0ydm binary_op_definition= 'a⫯⪬∳b = { ((b⋥≓≎a)≧⫂∧(⊄⩳↩a)) , if (a≦≮≮)!=65 ; ((b⫩⊇)⋥≓≎(a⨰b)) , else }', output=58741","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=58741, 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":4,"result_base":4,"text":"(⪩⨒∯112223⩍⋽⫝̸⪩⨒∯1021022⫰⋱⪩⨒∯303113⩧⪆⪩⨒∯1232322⩹⪩⨒∯1121103↺⪩⨒∯332112⫔⩽⩺⪩⨒∯100222∛⪩⨒∯112000)⪛⫼(⪩⨒∯1022100∠↢⪩⨒∯321230)≎⪠(⩪∧⨌⪩⨒∯303022)⫯⪬∳(⪩⨒∯320302⩁⩘⪩⨒∯1320020⊲⩕⊾⪩⨒∯1111330⩁⩘⪩⨒∯1302311)=⪩⨒∯33020","reverse_text":"⪩⨒∯33020=(⪩⨒∯112223⩍⋽⫝̸⪩⨒∯1021022⫰⋱⪩⨒∯303113⩧⪆⪩⨒∯1232322⩹⪩⨒∯1121103↺⪩⨒∯332112⫔⩽⩺⪩⨒∯100222∛⪩⨒∯112000)⪛⫼(⪩⨒∯1022100∠↢⪩⨒∯321230)≎⪠(⩪∧⨌⪩⨒∯303022)⫯⪬∳(⪩⨒∯320302⩁⩘⪩⨒∯1320020⊲⩕⊾⪩⨒∯1111330⩁⩘⪩⨒∯1302311)","cot":[{"info":"⪩⨒∯112223⩍⋽⫝̸⪩⨒∯1021022=⪩⨒∯322120","layer":3},{"info":"⪩⨒∯303113⩧⪆⪩⨒∯1232322=⪩⨒∯-1232322","layer":3},{"info":"⪩⨒∯322120⫰⋱⪩⨒∯-1232322=⪩⨒∯311211","layer":2},{"info":"⪩⨒∯1121103↺⪩⨒∯332112=⪩⨒∯332112","layer":3},{"info":"⪩⨒∯100222∛⪩⨒∯112000=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯332112⫔⩽⩺⪩⨒∯1003=NaN","layer":2},{"info":"⪩⨒∯311211⩹NaN=NaN","layer":1},{"info":"⪩⨒∯1022100∠↢⪩⨒∯321230=⪩⨒∯-100333232","layer":3},{"info":"⩪∧⨌⪩⨒∯303022=⪩⨒∯13333210","layer":3},{"info":"⪩⨒∯-100333232≎⪠⪩⨒∯13333210=⪩⨒∯10301212","layer":2},{"info":"⪩⨒∯320302⩁⩘⪩⨒∯1320020=⪩⨒∯13233110","layer":3},{"info":"⪩⨒∯1111330⩁⩘⪩⨒∯1302311=⪩⨒∯13122020","layer":3},{"info":"⪩⨒∯13233110⊲⩕⊾⪩⨒∯13122020=⪩⨒∯-3011011212","layer":2},{"info":"⪩⨒∯10301212⫯⪬∳⪩⨒∯-3011011212=⪩⨒∯32111311","layer":1},{"info":"NaN⪛⫼⪩⨒∯32111311=⪩⨒∯33020","layer":0}]}
{"id":985,"expression_no_base_symbol":"($1854$⨎$1206$⪉⨛$5181$≳⇉$1655$⫌⩉⩟($1197$⩷∴$2229$⪁$3892$∣$1932$))%(⊑$1827$)≄⊠$1246$∋$1168$⨐⩸⫘$1033$↢$2999$⨔≚≋(⊀$1471$)","expression":"(⪩⨒∯130332⨎⪩⨒∯102312⪉⨛⪩⨒∯1100331≳⇉⪩⨒∯121313⫌⩉⩟(⪩⨒∯102231⩷∴⪩⨒∯202311⪁⪩⨒∯330310∣⪩⨒∯132030))%(⊑⪩⨒∯130203)≄⊠⪩⨒∯103132∋⪩⨒∯102100⨐⩸⫘⪩⨒∯100021↢⪩⨒∯232313⨔≚≋(⊀⪩⨒∯112333)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":196452433,"operation_count":15,"complexity_ratio":13096828.866666667,"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":1854,"base":4},"right_expr":{"type":"numeric_atoms","value":1206,"base":4}},"right_expr":{"type":"binary","operator":"≳⇉","left_expr":{"type":"numeric_atoms","value":5181,"base":4},"right_expr":{"type":"numeric_atoms","value":1655,"base":4}}},"right_expr":{"type":"binary","operator":"⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1197,"base":4},"right_expr":{"type":"numeric_atoms","value":2229,"base":4}},"right_expr":{"type":"binary","operator":"∣","left_expr":{"type":"numeric_atoms","value":3892,"base":4},"right_expr":{"type":"numeric_atoms","value":1932,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≄⊠","left_expr":{"type":"unary","operator":"⊑","unary_expr":{"type":"numeric_atoms","value":1827,"base":4}},"right_expr":{"type":"binary","operator":"∋","left_expr":{"type":"numeric_atoms","value":1246,"base":4},"right_expr":{"type":"numeric_atoms","value":1168,"base":4}}},"right_expr":{"type":"binary","operator":"⨔≚≋","left_expr":{"type":"binary","operator":"↢","left_expr":{"type":"numeric_atoms","value":1033,"base":4},"right_expr":{"type":"numeric_atoms","value":2999,"base":4}},"right_expr":{"type":"unary","operator":"⊀","unary_expr":{"type":"numeric_atoms","value":1471,"base":4}}}}},"used_operators":["k8jYdgA6NY","XIIwhv8d0m","EWw2JM7wp4","rJVOvQCfKK","V0kx6qeWkN","I7sXao9hZE","9FxExcQeMw","PPChnnnBFF","fu6greOZ01","vXNesLlMH1","IkUmn0D7oy","ukq6epAj5P","Z57zeUYC9z","WR6HLWljOP","oPMjh9089D"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","NTOWxs364D","tifHPKVTfV","12rbrZMWeM","i8ToyICDmI","eewbuw0ToL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","dWAJyo7jo9","wxb3vTeyAj","nlCqmYiOvY","rysDP5nf3Z","eLAdDNolq6","eH2TOUuTDT","Ph9nP6C5qx","i8ToyICDmI","3ViojmjbAp","d7ASUq0ydm","nOKPl9n5zu","RabNbG55vr","DyGG3AbaNP","i8ToyICDmI","oRDoc9rAEX","AdZkA7nFnk","megm06wKyl","SUmda5xLS4","61wBmkZwlr","KbjG8mgYpV","zR4jO40bMj","QvoQhV0rrE","RHru8klgy8","3tVxb0NHM4","f6k1SAg4EE","IWmyXbctLI","eLAdDNolq6","g55IO6H4Gj","7j4O788W3g","12rbrZMWeM","f6k1SAg4EE","i8ToyICDmI","COABgblf1C","Qy55tPpLXF","XIabStNQrY","tifHPKVTfV","glklzrTFfD","sdazOOVcIp","8w2t5hMYqp","Ph9nP6C5qx","g55IO6H4Gj","2td37pGCOC","QMFrweE19q"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1854","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=1206, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1206","layer":3},{"info":"number node, value=5181","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=5181, right_input=1655, 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=1206, 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=1197","layer":4},{"info":"number node, value=2229","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=2229, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2096","layer":3},{"info":"number node, value=3892","layer":4},{"info":"number node, value=1932","layer":4},{"info":"compute binary expreesion, left_input=3892, right_input=1932, op_id = PPChnnnBFF binary_op_definition= 'a∣b = { (≤/((a⪐)≧⫂∧(a∲⫓b))) , if (b⪐)<590 ; a , else }', output=3892","layer":3},{"info":"compute binary expreesion, left_input=-2096, right_input=3892, op_id = I7sXao9hZE binary_op_definition= 'a⪁b = { (((⫶⊄≣b)⨽⪊≇)⪢a) }', 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=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = IkUmn0D7oy, unary_op_definition = '⊑a = { ((a⋅⇍254)⊋≦⊧(⨈⫕a)) }', output=192","layer":3},{"info":"number node, value=1246","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=1246, right_input=1168, op_id = ukq6epAj5P binary_op_definition= 'a∋b = { ((≋a)∠↢(b⪄a)) }', output=2431216","layer":3},{"info":"compute binary expreesion, left_input=192, right_input=2431216, op_id = vXNesLlMH1 binary_op_definition= 'a≄⊠b = { ((a∼b)⫯⪬∳(b∲⫓138)) , if (a⫣⪄⊒915)>=34 ; (⋗⩴⪓(b⫣⪄⊒b)) , else }', output=38904124","layer":2},{"info":"number node, value=1033","layer":4},{"info":"number node, value=2999","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=2999, op_id = WR6HLWljOP binary_op_definition= 'a↢b = { ((a∲⫓a)⪒(≤/a)) , if (a⊭↱114)<=535 ; ((a⋳⪒749)↺(b⨸⪁a)) , else }', output=549","layer":3},{"info":"number node, value=1471","layer":4},{"info":"compute unary expreesion, input=1471, op_id = oPMjh9089D, unary_op_definition = '⊀a = { (((⩦⩻⨪67)⪨≂(a⋥≓≎63))⇋≉) , if (a⇼⇔∾9)<290 ; (((⊄⩳↩a)⨁⊸⫻)⫡⨏((a≧⫂∧a)⨸⪁(a≧⫂∧a))) , else }', output=5622","layer":3},{"info":"compute binary expreesion, left_input=549, right_input=5622, op_id = Z57zeUYC9z binary_op_definition= 'a⨔≚≋b = { ((⊈(b⪎↠b))⪶≀⋏((29⪒b)∠⫱(a⪮%⊝521))) }', output=9872","layer":2},{"info":"compute binary expreesion, left_input=38904124, right_input=9872, 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":"compute binary expreesion, left_input=-50, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯130332⨎⪩⨒∯102312⪉⨛⪩⨒∯1100331≳⇉⪩⨒∯121313⫌⩉⩟(⪩⨒∯102231⩷∴⪩⨒∯202311⪁⪩⨒∯330310∣⪩⨒∯132030))%(⊑⪩⨒∯130203)≄⊠⪩⨒∯103132∋⪩⨒∯102100⨐⩸⫘⪩⨒∯100021↢⪩⨒∯232313⨔≚≋(⊀⪩⨒∯112333)=NaN","reverse_text":"NaN=(⪩⨒∯130332⨎⪩⨒∯102312⪉⨛⪩⨒∯1100331≳⇉⪩⨒∯121313⫌⩉⩟(⪩⨒∯102231⩷∴⪩⨒∯202311⪁⪩⨒∯330310∣⪩⨒∯132030))%(⊑⪩⨒∯130203)≄⊠⪩⨒∯103132∋⪩⨒∯102100⨐⩸⫘⪩⨒∯100021↢⪩⨒∯232313⨔≚≋(⊀⪩⨒∯112333)","cot":[{"info":"⪩⨒∯130332⨎⪩⨒∯102312=⪩⨒∯102312","layer":3},{"info":"⪩⨒∯1100331≳⇉⪩⨒∯121313=NaN","layer":3},{"info":"⪩⨒∯102312⪉⨛NaN=NaN","layer":2},{"info":"⪩⨒∯102231⩷∴⪩⨒∯202311=⪩⨒∯-200300","layer":3},{"info":"⪩⨒∯330310∣⪩⨒∯132030=⪩⨒∯330310","layer":3},{"info":"⪩⨒∯-200300⪁⪩⨒∯330310=NaN","layer":2},{"info":"NaN⫌⩉⩟NaN=⪩⨒∯-302","layer":1},{"info":"⊑⪩⨒∯130203=⪩⨒∯3000","layer":3},{"info":"⪩⨒∯103132∋⪩⨒∯102100=⪩⨒∯21101203300","layer":3},{"info":"⪩⨒∯3000≄⊠⪩⨒∯21101203300=⪩⨒∯2110122010330","layer":2},{"info":"⪩⨒∯100021↢⪩⨒∯232313=⪩⨒∯20211","layer":3},{"info":"⊀⪩⨒∯112333=⪩⨒∯1113312","layer":3},{"info":"⪩⨒∯20211⨔≚≋⪩⨒∯1113312=⪩⨒∯2122100","layer":2},{"info":"⪩⨒∯2110122010330⨐⩸⫘⪩⨒∯2122100=NaN","layer":1},{"info":"⪩⨒∯-302%NaN=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"($3867$⫗⊷⫓$3304$∇⊂⋱($2301$⋭≵$3557$)⩺⪪(≅≯⇸$2101$)∝$4974$⨟⋌⩍$1713$)⊕∕((∑⇻≧$2521$⋭≵$1011$)⩇∃⫛(($1863$↙$1361$)⇪⋭))","expression":"(⪩⨒∯330123⫗⊷⫓⪩⨒∯303220∇⊂⋱(⪩⨒∯203331⋭≵⪩⨒∯313211)⩺⪪(≅≯⇸⪩⨒∯200311)∝⪩⨒∯1031232⨟⋌⩍⪩⨒∯122301)⊕∕((∑⇻≧⪩⨒∯213121⋭≵⪩⨒∯33303)⩇∃⫛((⪩⨒∯131013↙⪩⨒∯111101)⇪⋭))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2568186,"operation_count":13,"complexity_ratio":197552.76923076922,"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":3867,"base":4},"right_expr":{"type":"numeric_atoms","value":3304,"base":4}},"right_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2301,"base":4},"right_expr":{"type":"numeric_atoms","value":3557,"base":4}}},"right_expr":{"type":"binary","operator":"∝","left_expr":{"type":"unary","operator":"≅≯⇸","unary_expr":{"type":"numeric_atoms","value":2101,"base":4}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4974,"base":4},"right_expr":{"type":"numeric_atoms","value":1713,"base":4}}}},"right_expr":{"type":"binary","operator":"⩇∃⫛","left_expr":{"type":"unary","operator":"∑⇻≧","unary_expr":{"type":"binary","operator":"⋭≵","left_expr":{"type":"numeric_atoms","value":2521,"base":4},"right_expr":{"type":"numeric_atoms","value":1011,"base":4}}},"right_expr":{"type":"unary","operator":"⇪⋭","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1863,"base":4},"right_expr":{"type":"numeric_atoms","value":1361,"base":4}}}}},"used_operators":["9cloC0Ngie","uvdQJvN4PV","nhYeJWJD5X","zashukvMKz","jBncVCNhdl","cTDWOvIxvz","apS25hmuAe","rGHVDoGpnC","1aApVXNlOP","l1M9WJ3V7u","Z8Yg6dlDSp","yyfyN0ffXY"],"dependent_operators":["Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","P8v4zCKN1o","23Mk6UjR3U","f6k1SAg4EE","AF7qkfDlqP","nCS4ZIUYfx","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","RygbFNSyEJ","gx7XJ7hdpj","9ICcGScMcE","C6VvDP6HwP","mqXw5SEYmG","7IPrd9c3lf","COABgblf1C","7j4O788W3g","W4YGzv6Whe","COABgblf1C","EBcxylXtPf","QMFrweE19q","Tcnh7f0tEr","9FxExcQeMw","rysDP5nf3Z","e1ybzncUwg","Qy55tPpLXF","DZ8iAZOCBD","2DQ55sFlQl","t8gj7n24qd","2DDjHMKMc0","Z2TMIBDE3Q","14qkJME0vr","f6k1SAg4EE","Ph9nP6C5qx","eewbuw0ToL","u6S6b8DprG","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","T2fj7uvVaJ","5KTvxBwnZo","inkyxCbjAn","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=3867","layer":4},{"info":"number node, value=3304","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=3304, 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=2301","layer":4},{"info":"number node, value=3557","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=3557, 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=-134, right_input=67, op_id = nhYeJWJD5X binary_op_definition= 'a∇⊂⋱b = { (b⪒b) , if a<143 ; ((⨑⩽⪐a)⋷(∥⊫(a⨳⩥⨓a))) , else }', output=-134","layer":2},{"info":"number node, value=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = apS25hmuAe, unary_op_definition = '≅≯⇸a = { ((471⫡⨏a)⫌⩹⨱) }', output=16081","layer":3},{"info":"number node, value=4974","layer":4},{"info":"number node, value=1713","layer":4},{"info":"compute binary expreesion, left_input=4974, right_input=1713, 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=16081, right_input=nan, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=nan","layer":1},{"info":"number node, value=2521","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=2521, right_input=1011, 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 = l1M9WJ3V7u, unary_op_definition = '∑⇻≧a = { (⨞⊢a) , if (a⫌⩹⨱)<644 ; (426⋷a) , else }', output=-852","layer":2},{"info":"number node, value=1863","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=1361, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4083","layer":3},{"info":"compute unary expreesion, input=-4083, op_id = Z8Yg6dlDSp, unary_op_definition = 'a⇪⋭ = { ((a≒∊a)⋓(⇁⨣⪵a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-852, 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 = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"(⪩⨒∯330123⫗⊷⫓⪩⨒∯303220∇⊂⋱(⪩⨒∯203331⋭≵⪩⨒∯313211)⩺⪪(≅≯⇸⪩⨒∯200311)∝⪩⨒∯1031232⨟⋌⩍⪩⨒∯122301)⊕∕((∑⇻≧⪩⨒∯213121⋭≵⪩⨒∯33303)⩇∃⫛((⪩⨒∯131013↙⪩⨒∯111101)⇪⋭))=NaN","reverse_text":"NaN=(⪩⨒∯330123⫗⊷⫓⪩⨒∯303220∇⊂⋱(⪩⨒∯203331⋭≵⪩⨒∯313211)⩺⪪(≅≯⇸⪩⨒∯200311)∝⪩⨒∯1031232⨟⋌⩍⪩⨒∯122301)⊕∕((∑⇻≧⪩⨒∯213121⋭≵⪩⨒∯33303)⩇∃⫛((⪩⨒∯131013↙⪩⨒∯111101)⇪⋭))","cot":[{"info":"⪩⨒∯330123⫗⊷⫓⪩⨒∯303220=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯203331⋭≵⪩⨒∯313211=⪩⨒∯1003","layer":3},{"info":"⪩⨒∯-2012∇⊂⋱⪩⨒∯1003=⪩⨒∯-2012","layer":2},{"info":"≅≯⇸⪩⨒∯200311=⪩⨒∯3323101","layer":3},{"info":"⪩⨒∯1031232⨟⋌⩍⪩⨒∯122301=NaN","layer":3},{"info":"⪩⨒∯3323101∝NaN=NaN","layer":2},{"info":"⪩⨒∯-2012⩺⪪NaN=NaN","layer":1},{"info":"⪩⨒∯213121⋭≵⪩⨒∯33303=⪩⨒∯1003","layer":3},{"info":"∑⇻≧⪩⨒∯1003=⪩⨒∯-31110","layer":2},{"info":"⪩⨒∯131013↙⪩⨒∯111101=⪩⨒∯-333303","layer":3},{"info":"⪩⨒∯-333303⇪⋭=NaN","layer":2},{"info":"⪩⨒∯-31110⩇∃⫛NaN=NaN","layer":1},{"info":"NaN⊕∕NaN=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"(⪓⩚(⊬↢$5628$))↓($2547$∧)⋕⪉⪜($2963$∓⋝$1444$)≧⫂∧(⇉-⫰(($3015$⩨$2065$)⨘))","expression":"(⪓⩚(⊬↢⪩⨒∯1113330))↓(⪩⨒∯213303∧)⋕⪉⪜(⪩⨒∯232103∓⋝⪩⨒∯112210)≧⫂∧(⇉-⫰((⪩⨒∯233013⩨⪩⨒∯200101)⨘))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12299,"operation_count":10,"complexity_ratio":1229.9,"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":5628,"base":4}}},"right_expr":{"type":"binary","operator":"⋕⪉⪜","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2547,"base":4}},"right_expr":{"type":"binary","operator":"∓⋝","left_expr":{"type":"numeric_atoms","value":2963,"base":4},"right_expr":{"type":"numeric_atoms","value":1444,"base":4}}}},"right_expr":{"type":"unary","operator":"⇉-⫰","unary_expr":{"type":"unary","operator":"⨘","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3015,"base":4},"right_expr":{"type":"numeric_atoms","value":2065,"base":4}}}}},"used_operators":["Ph9nP6C5qx","Af076pWI7l","u0R0Locfp2","WPoGxAaPR1","z6LnFrNh4i","z63VuFQld9","PoHhknlbAi","IGFM8TAlm9","ljcfZBUpm8","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nhYeJWJD5X","mp7IySMOzn","Noe24qw2ks","lvlrscuwVU","T2fj7uvVaJ","PoHhknlbAi","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","XGcMNugi78","d7ASUq0ydm","OwUj7dcsQK","FyVja0WsTP","1eCjFl0mb9","j6NVkjMzuk","SL6IHkK8vl","MRPaB8lBjK","yyfyN0ffXY","3Oe9XWJUTD","3tVxb0NHM4","8cLx32lpNA","sJAwomhLZr","FyVja0WsTP","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","DZ8iAZOCBD","DbCuESL50I","mqXw5SEYmG","2MzE1hQ0cz","eH2TOUuTDT","eewbuw0ToL","40aOVDgCDB","JL8yIekQnl","ocnLzx9CaJ","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"⪩⨒∯-13011","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5628","layer":4},{"info":"compute unary expreesion, input=5628, 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 = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":2},{"info":"number node, value=2547","layer":4},{"info":"compute unary expreesion, input=2547, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=2963","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=2963, right_input=1444, 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 = z6LnFrNh4i binary_op_definition= 'a⋕⪉⪜b = { ((648⩠)⊱⇼⊻(b-a)) }', output=204","layer":2},{"info":"compute binary expreesion, left_input=426, right_input=204, op_id = Af076pWI7l binary_op_definition= 'a↓b = { (((b⇷b)∓⋝b)⨐((462≴⪞⇿a)∇⊂⋱(a⋓a))) }', output=6900","layer":1},{"info":"number node, value=3015","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=3015, right_input=2065, 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 = ljcfZBUpm8, unary_op_definition = 'a⨘ = { ((4⊢)⩼⇪↪(a⋫)) }', output=-775","layer":2},{"info":"compute unary expreesion, input=-775, op_id = IGFM8TAlm9, unary_op_definition = '⇉-⫰a = { ((a⨰a)⪐) }', output=20","layer":1},{"info":"compute binary expreesion, left_input=6900, right_input=20, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-453","layer":0}],"base":4,"result_base":4,"text":"(⪓⩚(⊬↢⪩⨒∯1113330))↓(⪩⨒∯213303∧)⋕⪉⪜(⪩⨒∯232103∓⋝⪩⨒∯112210)≧⫂∧(⇉-⫰((⪩⨒∯233013⩨⪩⨒∯200101)⨘))=⪩⨒∯-13011","reverse_text":"⪩⨒∯-13011=(⪓⩚(⊬↢⪩⨒∯1113330))↓(⪩⨒∯213303∧)⋕⪉⪜(⪩⨒∯232103∓⋝⪩⨒∯112210)≧⫂∧(⇉-⫰((⪩⨒∯233013⩨⪩⨒∯200101)⨘))","cot":[{"info":"⊬↢⪩⨒∯1113330=⪩⨒∯3122","layer":3},{"info":"⪓⩚⪩⨒∯3122=⪩⨒∯12222","layer":2},{"info":"⪩⨒∯213303∧=NaN","layer":3},{"info":"⪩⨒∯232103∓⋝⪩⨒∯112210=⪩⨒∯1003","layer":3},{"info":"NaN⋕⪉⪜⪩⨒∯1003=⪩⨒∯3030","layer":2},{"info":"⪩⨒∯12222↓⪩⨒∯3030=⪩⨒∯1223310","layer":1},{"info":"⪩⨒∯233013⩨⪩⨒∯200101=⪩⨒∯0","layer":3},{"info":"⪩⨒∯0⨘=⪩⨒∯-30013","layer":2},{"info":"⇉-⫰⪩⨒∯-30013=⪩⨒∯110","layer":1},{"info":"⪩⨒∯1223310≧⫂∧⪩⨒∯110=⪩⨒∯-13011","layer":0}]}
{"id":988,"expression_no_base_symbol":"((⋗⩬⋾(⨵≀≌$4271$))⨳⩥⨓$3246$⋹⋡⊁$1651$⩖⊿(≸≮$3182$))⪥(⊈(⩎⋉($4059$⨻⩈⩔$4725$)))","expression":"((⋗⩬⋾(⨵≀≌⪩⨒∯1002233))⨳⩥⨓⪩⨒∯302232⋹⋡⊁⪩⨒∯121303⩖⊿(≸≮⪩⨒∯301232))⪥(⊈(⩎⋉(⪩⨒∯333123⨻⩈⩔⪩⨒∯1021311)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":72694,"operation_count":10,"complexity_ratio":7269.4,"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":4271,"base":4}}},"right_expr":{"type":"binary","operator":"⩖⊿","left_expr":{"type":"binary","operator":"⋹⋡⊁","left_expr":{"type":"numeric_atoms","value":3246,"base":4},"right_expr":{"type":"numeric_atoms","value":1651,"base":4}},"right_expr":{"type":"unary","operator":"≸≮","unary_expr":{"type":"numeric_atoms","value":3182,"base":4}}}},"right_expr":{"type":"unary","operator":"⊈","unary_expr":{"type":"unary","operator":"⩎⋉","unary_expr":{"type":"binary","operator":"⨻⩈⩔","left_expr":{"type":"numeric_atoms","value":4059,"base":4},"right_expr":{"type":"numeric_atoms","value":4725,"base":4}}}}},"used_operators":["QbnwKVWMIQ","nCS4ZIUYfx","DpFCA1CohY","srAu1WTS94","RZ5CV9rWsJ","As8RqfVLgs","AljMvE3RRm","RHru8klgy8","FlXk3pOYe8","nEsXyWgiOK"],"dependent_operators":["WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","HJ9erzHUuu","IWmyXbctLI","8cLx32lpNA","ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","3UMq87Qwqg","QiR2Oyf5Xj","Z57zeUYC9z","6o9Blt3TJ6","kbkesczE7y","oPMjh9089D","Nsiff2A1zJ","7qqUquhhSb","12rbrZMWeM","xUOZtlo3hN","KbjG8mgYpV","wztAlM01eG","JclMnS0uGI","XhwjNDsVaA","W7eaUhjymW","9ICcGScMcE","fG6uBQFnGz","8w2t5hMYqp","Bmrmz2XGnR","Noe24qw2ks","1aApVXNlOP","i8ToyICDmI","nCS4ZIUYfx","2DlMacCsIx","hrf7POJlIJ","D309nIvmXG","nREPSIbpBE","vg4gO5BX6G","mqXw5SEYmG"],"result":"⪩⨒∯-1310","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4271","layer":4},{"info":"compute unary expreesion, input=4271, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-12813","layer":3},{"info":"compute unary expreesion, input=-12813, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=38439","layer":2},{"info":"number node, value=3246","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=3246, right_input=1651, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=2401","layer":3},{"info":"number node, value=3182","layer":4},{"info":"compute unary expreesion, input=3182, 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=2401, right_input=nan, op_id = RZ5CV9rWsJ binary_op_definition= 'a⩖⊿b = { ((b⪔⊥a)⪮%⊝(a∌125)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=38439, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4059","layer":4},{"info":"number node, value=4725","layer":4},{"info":"compute binary expreesion, left_input=4059, right_input=4725, op_id = nEsXyWgiOK binary_op_definition= 'a⨻⩈⩔b = { ((∓⪦(a⨚721))⊨((b⊨b)⫸⊐(a⫸⊐a))) }', output=24071","layer":3},{"info":"compute unary expreesion, input=24071, 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 unary expreesion, input=1650, op_id = RHru8klgy8, unary_op_definition = '⊈a = { (a⋳⪒a) , if a==61 ; (⨞⊢a) , else }', output=-1824","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1824, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=-116","layer":0}],"base":4,"result_base":4,"text":"((⋗⩬⋾(⨵≀≌⪩⨒∯1002233))⨳⩥⨓⪩⨒∯302232⋹⋡⊁⪩⨒∯121303⩖⊿(≸≮⪩⨒∯301232))⪥(⊈(⩎⋉(⪩⨒∯333123⨻⩈⩔⪩⨒∯1021311)))=⪩⨒∯-1310","reverse_text":"⪩⨒∯-1310=((⋗⩬⋾(⨵≀≌⪩⨒∯1002233))⨳⩥⨓⪩⨒∯302232⋹⋡⊁⪩⨒∯121303⩖⊿(≸≮⪩⨒∯301232))⪥(⊈(⩎⋉(⪩⨒∯333123⨻⩈⩔⪩⨒∯1021311)))","cot":[{"info":"⨵≀≌⪩⨒∯1002233=⪩⨒∯-3020031","layer":3},{"info":"⋗⩬⋾⪩⨒∯-3020031=⪩⨒∯21120213","layer":2},{"info":"⪩⨒∯302232⋹⋡⊁⪩⨒∯121303=⪩⨒∯211201","layer":3},{"info":"≸≮⪩⨒∯301232=NaN","layer":3},{"info":"⪩⨒∯211201⩖⊿NaN=NaN","layer":2},{"info":"⪩⨒∯21120213⨳⩥⨓NaN=NaN","layer":1},{"info":"⪩⨒∯333123⨻⩈⩔⪩⨒∯1021311=⪩⨒∯11320013","layer":3},{"info":"⩎⋉⪩⨒∯11320013=⪩⨒∯121302","layer":2},{"info":"⊈⪩⨒∯121302=⪩⨒∯-130200","layer":1},{"info":"NaN⪥⪩⨒∯-130200=⪩⨒∯-1310","layer":0}]}
{"id":989,"expression_no_base_symbol":"⨡↴(≇⪴((⩷$1323$)⊝⪿⪼$2162$⫗⊷⫓$3144$))","expression":"⨡↴(≇⪴((⩷⪩⨒∯110223)⊝⪿⪼⪩⨒∯201302⫗⊷⫓⪩⨒∯301020))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":2442254,"operation_count":5,"complexity_ratio":488450.8,"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":1323,"base":4}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2162,"base":4},"right_expr":{"type":"numeric_atoms","value":3144,"base":4}}}}},"used_operators":["liw5iZPkLH","zoVPnxeHJ3","3Oe9XWJUTD","1h0rLqGiFr","zashukvMKz"],"dependent_operators":["W4YGzv6Whe","P8v4zCKN1o","7j4O788W3g","Ph9nP6C5qx","f6k1SAg4EE","14qkJME0vr","g55IO6H4Gj","COABgblf1C","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","14qkJME0vr","g55IO6H4Gj","7j4O788W3g","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⪩⨒∯-313","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1323","layer":4},{"info":"compute unary expreesion, input=1323, op_id = 1h0rLqGiFr, unary_op_definition = '⩷a = { (((a⊦⊿)↺(a⨸⪁a))⊦⊿) }', output=-15955","layer":3},{"info":"number node, value=2162","layer":4},{"info":"number node, value=3144","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=3144, 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=-15955, right_input=-134, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=-229393","layer":2},{"info":"compute unary expreesion, input=-229393, op_id = zoVPnxeHJ3, unary_op_definition = '≇⪴a = { ((a⪒a)↺(a⨸⪁a)) , if (a⊭↱741)>=792 ; ((a≧⫂∧a)⊦⊿) , else }', output=-917572","layer":1},{"info":"compute unary expreesion, input=-917572, op_id = liw5iZPkLH, unary_op_definition = '⨡↴a = { (∥⊫(a+181)) }', output=-55","layer":0}],"base":4,"result_base":4,"text":"⨡↴(≇⪴((⩷⪩⨒∯110223)⊝⪿⪼⪩⨒∯201302⫗⊷⫓⪩⨒∯301020))=⪩⨒∯-313","reverse_text":"⪩⨒∯-313=⨡↴(≇⪴((⩷⪩⨒∯110223)⊝⪿⪼⪩⨒∯201302⫗⊷⫓⪩⨒∯301020))","cot":[{"info":"⩷⪩⨒∯110223=⪩⨒∯-3321103","layer":3},{"info":"⪩⨒∯201302⫗⊷⫓⪩⨒∯301020=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯-3321103⊝⪿⪼⪩⨒∯-2012=⪩⨒∯-320000101","layer":2},{"info":"≇⪴⪩⨒∯-320000101=⪩⨒∯-3200001010","layer":1},{"info":"⨡↴⪩⨒∯-3200001010=⪩⨒∯-313","layer":0}]}
{"id":990,"expression_no_base_symbol":"(⨵($2067$⋾⨃∁$1860$⋷$1872$⫸⇳$1830$))∊∟⩊(↑(($6249$⨟⋌⩍$4167$)⋥⋵⩄($2784$↪⪝)))","expression":"(⨵(⪩⨒∯200103⋾⨃∁⪩⨒∯131010⋷⪩⨒∯131100⫸⇳⪩⨒∯130212))∊∟⩊(↑((⪩⨒∯1201221⨟⋌⩍⪩⨒∯1001013)⋥⋵⩄(⪩⨒∯223200↪⪝)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":16272707,"operation_count":9,"complexity_ratio":1808078.5555555555,"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":2067,"base":4},"right_expr":{"type":"numeric_atoms","value":1860,"base":4}},"right_expr":{"type":"binary","operator":"⫸⇳","left_expr":{"type":"numeric_atoms","value":1872,"base":4},"right_expr":{"type":"numeric_atoms","value":1830,"base":4}}}},"right_expr":{"type":"unary","operator":"↑","unary_expr":{"type":"binary","operator":"⋥⋵⩄","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6249,"base":4},"right_expr":{"type":"numeric_atoms","value":4167,"base":4}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2784,"base":4}}}}},"used_operators":["ddLRYrp01A","Tl3Y52tvF8","23Mk6UjR3U","212REbPD9h","gx7XJ7hdpj","tR7O2zTn5j","7t3wd0Fuz7","rGHVDoGpnC","l07mrZUIn9"],"dependent_operators":["59igzFyhWz","A8NUZmVepG","3sJ7IOPOlU","gx7XJ7hdpj","09Ly4LVMIf","oRDoc9rAEX","srAu1WTS94","i8ToyICDmI","Y7wcNGrDQJ","W4YGzv6Whe","t8gj7n24qd","eLxqMNBOBk","Qy55tPpLXF","w2P8NbNXyL","2DQ55sFlQl","f6k1SAg4EE","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","oRDoc9rAEX","RygbFNSyEJ","2DlMacCsIx","IWmyXbctLI","2td37pGCOC","AFVx7xoS7T","Tcnh7f0tEr","9HNa5Wba9A","2DDjHMKMc0"],"result":"⪩⨒∯221","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2067","layer":4},{"info":"number node, value=1860","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=1860, op_id = 212REbPD9h binary_op_definition= 'a⋾⨃∁b = { ((430⊉↱≁b)⨵⪆b) , if (a⪒898)>=359 ; ((⫓⪴b)⊉↱≁(26⋥≓≎b)) , else }', output=34573586","layer":3},{"info":"number node, value=1872","layer":4},{"info":"number node, value=1830","layer":4},{"info":"compute binary expreesion, left_input=1872, right_input=1830, 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=34573586, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-34573586","layer":2},{"info":"compute unary expreesion, input=-34573586, op_id = Tl3Y52tvF8, unary_op_definition = '⨵a = { (((a∲⫓10)⫃⨇(384⊋≦⊧a))⩵∡(⨵≀≌(a⫸⇳714))) }', output=829768919","layer":1},{"info":"number node, value=6249","layer":4},{"info":"number node, value=4167","layer":4},{"info":"compute binary expreesion, left_input=6249, right_input=4167, 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=2784","layer":4},{"info":"compute unary expreesion, input=2784, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=170330688","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=170330688, op_id = 7t3wd0Fuz7 binary_op_definition= 'a⋥⋵⩄b = { ((⩦⩻⨪a)⇌⫙⪟(b⪮%⊝b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = tR7O2zTn5j, unary_op_definition = '↑a = { ((a⩨a)⊋≦⊧(a≦↸a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=829768919, right_input=nan, op_id = ddLRYrp01A binary_op_definition= 'a∊∟⩊b = { b , if (b∵≐)>=166 or (a⪇≇⋚4)==505 ; (↥a) , else }', output=41","layer":0}],"base":4,"result_base":4,"text":"(⨵(⪩⨒∯200103⋾⨃∁⪩⨒∯131010⋷⪩⨒∯131100⫸⇳⪩⨒∯130212))∊∟⩊(↑((⪩⨒∯1201221⨟⋌⩍⪩⨒∯1001013)⋥⋵⩄(⪩⨒∯223200↪⪝)))=⪩⨒∯221","reverse_text":"⪩⨒∯221=(⨵(⪩⨒∯200103⋾⨃∁⪩⨒∯131010⋷⪩⨒∯131100⫸⇳⪩⨒∯130212))∊∟⩊(↑((⪩⨒∯1201221⨟⋌⩍⪩⨒∯1001013)⋥⋵⩄(⪩⨒∯223200↪⪝)))","cot":[{"info":"⪩⨒∯200103⋾⨃∁⪩⨒∯131010=⪩⨒∯2003320310102","layer":3},{"info":"⪩⨒∯131100⫸⇳⪩⨒∯130212=⪩⨒∯0","layer":3},{"info":"⪩⨒∯2003320310102⋷⪩⨒∯0=⪩⨒∯-2003320310102","layer":2},{"info":"⨵⪩⨒∯-2003320310102=⪩⨒∯301131110103113","layer":1},{"info":"⪩⨒∯1201221⨟⋌⩍⪩⨒∯1001013=NaN","layer":3},{"info":"⪩⨒∯223200↪⪝=⪩⨒∯22021300221000","layer":3},{"info":"NaN⋥⋵⩄⪩⨒∯22021300221000=NaN","layer":2},{"info":"↑NaN=NaN","layer":1},{"info":"⪩⨒∯301131110103113∊∟⩊NaN=⪩⨒∯221","layer":0}]}
{"id":991,"expression_no_base_symbol":"(↡($4434$∘$2179$)≁($3748$∛$4064$))↬((⨩∲⋌(∓$3076$))≥⨤⩑$1575$↞⋁$1682$⨸($2075$⊭∹↮))","expression":"(↡(⪩⨒∯1011102∘⪩⨒∯202003)≁(⪩⨒∯322210∛⪩⨒∯333200))↬((⨩∲⋌(∓⪩⨒∯300010))≥⨤⩑⪩⨒∯120213↞⋁⪩⨒∯122102⨸(⪩⨒∯200123⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":524,"operation_count":11,"complexity_ratio":47.63636363636363,"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":4434,"base":4},"right_expr":{"type":"numeric_atoms","value":2179,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":3748,"base":4},"right_expr":{"type":"numeric_atoms","value":4064,"base":4}}}},"right_expr":{"type":"binary","operator":"≥⨤⩑","left_expr":{"type":"unary","operator":"⨩∲⋌","unary_expr":{"type":"unary","operator":"∓","unary_expr":{"type":"numeric_atoms","value":3076,"base":4}}},"right_expr":{"type":"binary","operator":"⨸","left_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"numeric_atoms","value":1575,"base":4},"right_expr":{"type":"numeric_atoms","value":1682,"base":4}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2075,"base":4}}}}},"used_operators":["B5M0gjZbta","MXaNJeIAZ3","8N2wDY1A35","Z5m6OM72h2","w2537kitQq","gJLn6v0xnP","aSik1wnThz","OwUj7dcsQK","KmoU8R5UQR","RqrPlJkxDo","xNBdhnnwKq"],"dependent_operators":["rGHVDoGpnC","DpFCA1CohY","23Mk6UjR3U","7j4O788W3g","8w2t5hMYqp","sdazOOVcIp","nCS4ZIUYfx","B5M0gjZbta","6Ko8hGgeMq","3tVxb0NHM4","G9tJMlZ94a","R5aXW34M0v","eH2TOUuTDT","rysDP5nf3Z","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","mp7IySMOzn","aA7tF3KVD3","QvoQhV0rrE","rysDP5nf3Z","Ph9nP6C5qx","Z2TMIBDE3Q","DpFCA1CohY","12rbrZMWeM","nCS4ZIUYfx","QMFrweE19q","ukq6epAj5P","eRqsBgTDFp","JL8yIekQnl","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4434","layer":4},{"info":"number node, value=2179","layer":4},{"info":"compute binary expreesion, left_input=4434, right_input=2179, op_id = Z5m6OM72h2 binary_op_definition= 'a∘b = { (380-a) , if b<=483 ; (a⪐) , else }', output=8868","layer":3},{"info":"number node, value=3748","layer":4},{"info":"number node, value=4064","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=4064, 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=8868, right_input=-670, op_id = 8N2wDY1A35 binary_op_definition= 'a≁b = { (∨∊⋏b) , if (⇨a)<365 ; ((a⪎↠b)↬(b⫒⫫b)) , else }', output=-29249","layer":2},{"info":"compute unary expreesion, input=-29249, op_id = MXaNJeIAZ3, unary_op_definition = '↡a = { (((772⨳⩥⨓159)⪨≂(a⋷a))↺(⊄⩳↩(⋗⩬⋾a))) }', output=-263241","layer":1},{"info":"number node, value=3076","layer":4},{"info":"compute unary expreesion, input=3076, op_id = OwUj7dcsQK, unary_op_definition = '∓a = { (⋗⩬⋾((a⋳⪒554)⨳⩥⨓(a⫡⨏a))) }', output=-51012","layer":3},{"info":"compute unary expreesion, input=-51012, op_id = aSik1wnThz, unary_op_definition = '⨩∲⋌a = { ((759≧⫂∧(236-a))⩤) }', output=-50775","layer":2},{"info":"number node, value=1575","layer":4},{"info":"number node, value=1682","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1682, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=nan","layer":3},{"info":"number node, value=2075","layer":4},{"info":"compute unary expreesion, input=2075, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4150","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4150, op_id = KmoU8R5UQR binary_op_definition= 'a⨸b = { ((a⋫)⪒⊣⊆(b∋158)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-50775, 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=-263241, right_input=1234, 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":4,"result_base":4,"text":"(↡(⪩⨒∯1011102∘⪩⨒∯202003)≁(⪩⨒∯322210∛⪩⨒∯333200))↬((⨩∲⋌(∓⪩⨒∯300010))≥⨤⩑⪩⨒∯120213↞⋁⪩⨒∯122102⨸(⪩⨒∯200123⊭∹↮))=NaN","reverse_text":"NaN=(↡(⪩⨒∯1011102∘⪩⨒∯202003)≁(⪩⨒∯322210∛⪩⨒∯333200))↬((⨩∲⋌(∓⪩⨒∯300010))≥⨤⩑⪩⨒∯120213↞⋁⪩⨒∯122102⨸(⪩⨒∯200123⊭∹↮))","cot":[{"info":"⪩⨒∯1011102∘⪩⨒∯202003=⪩⨒∯2022210","layer":3},{"info":"⪩⨒∯322210∛⪩⨒∯333200=⪩⨒∯-22132","layer":3},{"info":"⪩⨒∯2022210≁⪩⨒∯-22132=⪩⨒∯-13021001","layer":2},{"info":"↡⪩⨒∯-13021001=⪩⨒∯-1000101021","layer":1},{"info":"∓⪩⨒∯300010=⪩⨒∯-30131010","layer":3},{"info":"⨩∲⋌⪩⨒∯-30131010=⪩⨒∯-30121113","layer":2},{"info":"⪩⨒∯120213↞⋁⪩⨒∯122102=NaN","layer":3},{"info":"⪩⨒∯200123⊭∹↮=⪩⨒∯1000312","layer":3},{"info":"NaN⨸⪩⨒∯1000312=NaN","layer":2},{"info":"⪩⨒∯-30121113≥⨤⩑NaN=⪩⨒∯103102","layer":1},{"info":"⪩⨒∯-1000101021↬⪩⨒∯103102=NaN","layer":0}]}
{"id":992,"expression_no_base_symbol":"⇘(⊁⨺($1935$⋳⪒$1707$∝($4631$∽$6572$)))","expression":"⇘(⊁⨺(⪩⨒∯132033⋳⪒⪩⨒∯122223∝(⪩⨒∯1020113∽⪩⨒∯1212230)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":401,"operation_count":5,"complexity_ratio":80.2,"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":1935,"base":4},"right_expr":{"type":"numeric_atoms","value":1707,"base":4}},"right_expr":{"type":"binary","operator":"∽","left_expr":{"type":"numeric_atoms","value":4631,"base":4},"right_expr":{"type":"numeric_atoms","value":6572,"base":4}}}}},"used_operators":["MGuIdZPyUC","PxiHyQbrIp","cTDWOvIxvz","12rbrZMWeM","y4ImoPnbV5"],"dependent_operators":["eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","rysDP5nf3Z","e1ybzncUwg","XPYlsWDdGa","23Mk6UjR3U","7j4O788W3g","2td37pGCOC","2DQ55sFlQl","xUOZtlo3hN","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","7j4O788W3g","W4YGzv6Whe","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","QMFrweE19q"],"result":"⪩⨒∯-3110110033","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1935","layer":4},{"info":"number node, value=1707","layer":4},{"info":"compute binary expreesion, left_input=1935, right_input=1707, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1876","layer":3},{"info":"number node, value=4631","layer":4},{"info":"number node, value=6572","layer":4},{"info":"compute binary expreesion, left_input=4631, right_input=6572, op_id = y4ImoPnbV5 binary_op_definition= 'a∽b = { ((a⩚⊴⇥b)⫡⨏b) }', output=-42693","layer":3},{"info":"compute binary expreesion, left_input=1876, right_input=-42693, op_id = cTDWOvIxvz binary_op_definition= 'a∝b = { ((b↺a)+(b⊭↱b)) }', output=1881","layer":2},{"info":"compute unary expreesion, input=1881, 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":1},{"info":"compute unary expreesion, input=160, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=-869647","layer":0}],"base":4,"result_base":4,"text":"⇘(⊁⨺(⪩⨒∯132033⋳⪒⪩⨒∯122223∝(⪩⨒∯1020113∽⪩⨒∯1212230)))=⪩⨒∯-3110110033","reverse_text":"⪩⨒∯-3110110033=⇘(⊁⨺(⪩⨒∯132033⋳⪒⪩⨒∯122223∝(⪩⨒∯1020113∽⪩⨒∯1212230)))","cot":[{"info":"⪩⨒∯132033⋳⪒⪩⨒∯122223=⪩⨒∯131110","layer":3},{"info":"⪩⨒∯1020113∽⪩⨒∯1212230=⪩⨒∯-22123011","layer":3},{"info":"⪩⨒∯131110∝⪩⨒∯-22123011=⪩⨒∯131121","layer":2},{"info":"⊁⨺⪩⨒∯131121=⪩⨒∯2200","layer":1},{"info":"⇘⪩⨒∯2200=⪩⨒∯-3110110033","layer":0}]}
{"id":993,"expression_no_base_symbol":"∡($5318$≧⫂∧$4181$-($5023$↦))⇤(($4370$∲⫓$7873$)∳⫺($4469$⊋≦⊧$1180$))","expression":"∡(⪩⨒∯1103012≧⫂∧⪩⨒∯1001111-(⪩⨒∯1032133↦))⇤((⪩⨒∯1010102∲⫓⪩⨒∯1323001)∳⫺(⪩⨒∯1011311⊋≦⊧⪩⨒∯102130))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":232570,"operation_count":8,"complexity_ratio":29071.25,"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":5318,"base":4},"right_expr":{"type":"numeric_atoms","value":4181,"base":4}},"right_expr":{"type":"unary","operator":"↦","unary_expr":{"type":"numeric_atoms","value":5023,"base":4}}},"right_expr":{"type":"binary","operator":"∳⫺","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4370,"base":4},"right_expr":{"type":"numeric_atoms","value":7873,"base":4}},"right_expr":{"type":"binary","operator":"⊋≦⊧","left_expr":{"type":"numeric_atoms","value":4469,"base":4},"right_expr":{"type":"numeric_atoms","value":1180,"base":4}}}}},"used_operators":["pRsWfj4Fpp","YSKBFp38Pu","rysDP5nf3Z","Ph9nP6C5qx","fFznvYxMfW","AzXXKTstlj","i8ToyICDmI","oRDoc9rAEX"],"dependent_operators":["D4vGDi5EA2","DZ8iAZOCBD","2DDjHMKMc0","rysDP5nf3Z","XPYlsWDdGa","tifHPKVTfV","2DQ55sFlQl","2DDjHMKMc0","xUOZtlo3hN","QMFrweE19q","rysDP5nf3Z","t8gj7n24qd","L05ObWFQCd","d7ASUq0ydm","inkyxCbjAn","9HNa5Wba9A","AHs5Up7iyr","xRrnTEsQ6j","vkpjKywKVM","Z5m6OM72h2","eewbuw0ToL","uWAJUKEvyW","F4yD0voBRQ","Tcnh7f0tEr","ZvLB05nZmT","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","tifHPKVTfV","sdazOOVcIp","glklzrTFfD","DIvbN7qnHd","12rbrZMWeM","Ph9nP6C5qx","eewbuw0ToL","2td37pGCOC"],"result":"NaN","longer_result_info":{"target_base":4,"flag":false},"cot_info":[{"info":"number node, value=5318","layer":4},{"info":"number node, value=4181","layer":4},{"info":"compute binary expreesion, left_input=5318, right_input=4181, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3708","layer":3},{"info":"number node, value=5023","layer":4},{"info":"compute unary expreesion, input=5023, 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=3708, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4370","layer":4},{"info":"number node, value=7873","layer":4},{"info":"compute binary expreesion, left_input=4370, right_input=7873, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4469","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=4469, right_input=1180, 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=-2120","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2120, 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=nan, right_input=-260, op_id = YSKBFp38Pu binary_op_definition= 'a⇤b = { (((b-523)⇼⇔∾(⨞⊢a))⫡⨏((⪲⇎a)⨵⪆(336⋝⋈⪟a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = pRsWfj4Fpp, unary_op_definition = '∡a = { ((a≦≮≮)⊉≛↸(a⋝⋈⪟a)) }', output=nan","layer":0}],"base":4,"result_base":4,"text":"∡(⪩⨒∯1103012≧⫂∧⪩⨒∯1001111-(⪩⨒∯1032133↦))⇤((⪩⨒∯1010102∲⫓⪩⨒∯1323001)∳⫺(⪩⨒∯1011311⊋≦⊧⪩⨒∯102130))=NaN","reverse_text":"NaN=∡(⪩⨒∯1103012≧⫂∧⪩⨒∯1001111-(⪩⨒∯1032133↦))⇤((⪩⨒∯1010102∲⫓⪩⨒∯1323001)∳⫺(⪩⨒∯1011311⊋≦⊧⪩⨒∯102130))","cot":[{"info":"⪩⨒∯1103012≧⫂∧⪩⨒∯1001111=⪩⨒∯321330","layer":3},{"info":"⪩⨒∯1032133↦=NaN","layer":3},{"info":"⪩⨒∯321330-NaN=NaN","layer":2},{"info":"⪩⨒∯1010102∲⫓⪩⨒∯1323001=⪩⨒∯0","layer":3},{"info":"⪩⨒∯1011311⊋≦⊧⪩⨒∯102130=⪩⨒∯-201020","layer":3},{"info":"⪩⨒∯0∳⫺⪩⨒∯-201020=⪩⨒∯-10010","layer":2},{"info":"NaN⇤⪩⨒∯-10010=NaN","layer":1},{"info":"∡NaN=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"(($5904$⩣⫁∢$1055$⫸⇳(⩦⊞$6881$))⪛⫼($4893$⋳⪒$1503$)↞⋁($2867$⫣⪄⊒$1865$))⋛(⩒∊$1541$⪟⇏$3453$)⨐(↘$5006$⫗⊷⫓$3090$)","expression":"((⪩⨒∯1130100⩣⫁∢⪩⨒∯100133⫸⇳(⩦⊞⪩⨒∯1223201))⪛⫼(⪩⨒∯1030131⋳⪒⪩⨒∯113133)↞⋁(⪩⨒∯230303⫣⪄⊒⪩⨒∯131021))⋛(⩒∊⪩⨒∯120011⪟⇏⪩⨒∯311331)⨐(↘⪩⨒∯1032032⫗⊷⫓⪩⨒∯300102)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2400700,"operation_count":13,"complexity_ratio":184669.23076923078,"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":5904,"base":4},"right_expr":{"type":"numeric_atoms","value":1055,"base":4}},"right_expr":{"type":"unary","operator":"⩦⊞","unary_expr":{"type":"numeric_atoms","value":6881,"base":4}}},"right_expr":{"type":"binary","operator":"↞⋁","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4893,"base":4},"right_expr":{"type":"numeric_atoms","value":1503,"base":4}},"right_expr":{"type":"binary","operator":"⫣⪄⊒","left_expr":{"type":"numeric_atoms","value":2867,"base":4},"right_expr":{"type":"numeric_atoms","value":1865,"base":4}}}},"right_expr":{"type":"binary","operator":"⨐","left_expr":{"type":"unary","operator":"⩒∊","unary_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"numeric_atoms","value":1541,"base":4},"right_expr":{"type":"numeric_atoms","value":3453,"base":4}}},"right_expr":{"type":"unary","operator":"↘","unary_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5006,"base":4},"right_expr":{"type":"numeric_atoms","value":3090,"base":4}}}}},"used_operators":["YbUVn0Rbpy","hyuBjUqXlG","gx7XJ7hdpj","JDUIKTTSIa","u7fv1HBiaC","RqrPlJkxDo","12rbrZMWeM","RabNbG55vr","Noe24qw2ks","qazvmhNBbN","GODebY97qR","LdNpr8hQHL","zashukvMKz"],"dependent_operators":["d7ASUq0ydm","OKKcZfAt5B","FyVja0WsTP","zVYPLywUTj","tifHPKVTfV","sdazOOVcIp","Ikt5ks8PT7","bF6eod5Gvf","k8jYdgA6NY","D3AQDKkPcf","8HhzD0ZcuI","LkLIoiE525","8cLx32lpNA","HJ9erzHUuu","9ICcGScMcE","DO4fhlbJSI","BX1lVwlMe0","Noe24qw2ks","uFcxV4UQCh","A8NUZmVepG","vg4gO5BX6G","dfKe02y8D2","hrf7POJlIJ","mqXw5SEYmG","QMFrweE19q","wztAlM01eG","DpFCA1CohY","7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","DIvbN7qnHd","12rbrZMWeM","t8gj7n24qd","14qkJME0vr","g55IO6H4Gj","eewbuw0ToL","sdazOOVcIp","eewbuw0ToL","AF7qkfDlqP","u6S6b8DprG","eLAdDNolq6","Qy55tPpLXF","7j4O788W3g","AF7qkfDlqP","Uaa54Peajs","CArV6hThFE","13rbtpv6ld","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","u6S6b8DprG","2DQ55sFlQl","QMFrweE19q","AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","uFcxV4UQCh","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⪩⨒∯-132021120","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=5904","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=5904, right_input=1055, op_id = JDUIKTTSIa binary_op_definition= 'a⩣⫁∢b = { (⨑⩽⪐((a⪨≂b)⨰(↽≂b))) }', output=-11647","layer":3},{"info":"number node, value=6881","layer":4},{"info":"compute unary expreesion, input=6881, op_id = u7fv1HBiaC, unary_op_definition = '⩦⊞a = { (⨑⩽⪐a) , if a>=405 ; ((≤/395)⋥≓≎(a↺a)) , else }', output=-6608","layer":3},{"info":"compute binary expreesion, left_input=-11647, right_input=-6608, 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":"number node, value=4893","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=4893, right_input=1503, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7996","layer":3},{"info":"number node, value=2867","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=2867, right_input=1865, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-5968","layer":3},{"info":"compute binary expreesion, left_input=7996, right_input=-5968, op_id = RqrPlJkxDo binary_op_definition= 'a↞⋁b = { a , if (b⫲⨊)<=80 ; (∂(243↤⩊b)) , else }', output=7996","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=7996, 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=1541","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=3453, 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 = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1276","layer":2},{"info":"number node, value=5006","layer":4},{"info":"number node, value=3090","layer":4},{"info":"compute binary expreesion, left_input=5006, right_input=3090, 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 = LdNpr8hQHL, unary_op_definition = '↘a = { (a⪛392) }', output=258","layer":2},{"info":"compute binary expreesion, left_input=-1276, right_input=258, op_id = Noe24qw2ks binary_op_definition= 'a⨐b = { (↽≂a) , if (a⨵⪆301)>43 ; (b⫡⨏a) , else }', output=2552","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=2552, 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=-123480","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯1130100⩣⫁∢⪩⨒∯100133⫸⇳(⩦⊞⪩⨒∯1223201))⪛⫼(⪩⨒∯1030131⋳⪒⪩⨒∯113133)↞⋁(⪩⨒∯230303⫣⪄⊒⪩⨒∯131021))⋛(⩒∊⪩⨒∯120011⪟⇏⪩⨒∯311331)⨐(↘⪩⨒∯1032032⫗⊷⫓⪩⨒∯300102)=⪩⨒∯-132021120","reverse_text":"⪩⨒∯-132021120=((⪩⨒∯1130100⩣⫁∢⪩⨒∯100133⫸⇳(⩦⊞⪩⨒∯1223201))⪛⫼(⪩⨒∯1030131⋳⪒⪩⨒∯113133)↞⋁(⪩⨒∯230303⫣⪄⊒⪩⨒∯131021))⋛(⩒∊⪩⨒∯120011⪟⇏⪩⨒∯311331)⨐(↘⪩⨒∯1032032⫗⊷⫓⪩⨒∯300102)","cot":[{"info":"⪩⨒∯1130100⩣⫁∢⪩⨒∯100133=⪩⨒∯-2311333","layer":3},{"info":"⩦⊞⪩⨒∯1223201=⪩⨒∯-1213100","layer":3},{"info":"⪩⨒∯-2311333⫸⇳⪩⨒∯-1213100=⪩⨒∯0","layer":2},{"info":"⪩⨒∯1030131⋳⪒⪩⨒∯113133=⪩⨒∯1330330","layer":3},{"info":"⪩⨒∯230303⫣⪄⊒⪩⨒∯131021=⪩⨒∯-1131100","layer":3},{"info":"⪩⨒∯1330330↞⋁⪩⨒∯-1131100=⪩⨒∯1330330","layer":2},{"info":"⪩⨒∯0⪛⫼⪩⨒∯1330330=⪩⨒∯33020","layer":1},{"info":"⪩⨒∯120011⪟⇏⪩⨒∯311331=⪩⨒∯-1","layer":3},{"info":"⩒∊⪩⨒∯-1=⪩⨒∯-103330","layer":2},{"info":"⪩⨒∯1032032⫗⊷⫓⪩⨒∯300102=⪩⨒∯-2012","layer":3},{"info":"↘⪩⨒∯-2012=⪩⨒∯10002","layer":2},{"info":"⪩⨒∯-103330⨐⪩⨒∯10002=⪩⨒∯213320","layer":1},{"info":"⪩⨒∯33020⋛⪩⨒∯213320=⪩⨒∯-132021120","layer":0}]}
{"id":995,"expression_no_base_symbol":"⨑⩽⪐($7693$⨜⨶$3418$⋳⪒$8389$⨿$3418$)⊕∕($4432$⋥≓≎$4661$⫦⪉$2088$⫗⊷⫓$3704$)","expression":"⨑⩽⪐(⪩⨒∯1320031⨜⨶⪩⨒∯311122⋳⪒⪩⨒∯2003011⨿⪩⨒∯311122)⊕∕(⪩⨒∯1011100⋥≓≎⪩⨒∯1020311⫦⪉⪩⨒∯200220⫗⊷⫓⪩⨒∯321320)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2877606,"operation_count":8,"complexity_ratio":359700.75,"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":7693,"base":4},"right_expr":{"type":"numeric_atoms","value":3418,"base":4}},"right_expr":{"type":"binary","operator":"⨿","left_expr":{"type":"numeric_atoms","value":8389,"base":4},"right_expr":{"type":"numeric_atoms","value":3418,"base":4}}},"right_expr":{"type":"binary","operator":"⫦⪉","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4432,"base":4},"right_expr":{"type":"numeric_atoms","value":4661,"base":4}},"right_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":2088,"base":4},"right_expr":{"type":"numeric_atoms","value":3704,"base":4}}}}},"used_operators":["AF7qkfDlqP","9cloC0Ngie","12rbrZMWeM","HiPekx5b7W","abYXlopdE0","wscyQdcy20","Qy55tPpLXF","zashukvMKz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","Tcnh7f0tEr","wicAB68Tmb","yyfyN0ffXY","sYcpBQ0cFf","rysDP5nf3Z","t8gj7n24qd","N41Kp7NANJ","BjRHVeLaeN","tifHPKVTfV","12rbrZMWeM","14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","nCS4ZIUYfx","QMFrweE19q","gJLn6v0xnP","KFSx94NKJn","jWTQ2TZYIH","yXekIHxTD4","KYD54nUTWz","i8ToyICDmI","PoHhknlbAi","W4YGzv6Whe","B3sABdIn96","9HNa5Wba9A","g7Hmc5v1ko","nREPSIbpBE","D3AQDKkPcf","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l"],"result":"⪩⨒∯12212211","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=7693","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=7693, right_input=3418, 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=-6580","layer":3},{"info":"number node, value=8389","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=8389, right_input=3418, 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=-6580, right_input=-319, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-13128","layer":2},{"info":"number node, value=4432","layer":4},{"info":"number node, value=4661","layer":4},{"info":"compute binary expreesion, left_input=4432, right_input=4661, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4923","layer":3},{"info":"number node, value=2088","layer":4},{"info":"number node, value=3704","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=3704, 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=4923, right_input=-134, op_id = wscyQdcy20 binary_op_definition= 'a⫦⪉b = { ((a⩌⋺206)⪹) , if (a∷677)>=23 ; ((b+a)*(b⨚b)) , else }', output=-4946","layer":2},{"info":"compute binary expreesion, left_input=-13128, right_input=-4946, op_id = 9cloC0Ngie binary_op_definition= 'a⊕∕b = { ((b⪝9)↙(⨮↦↱b)) , if (b≣⋋)>174 ; a , else }', output=-13128","layer":1},{"info":"compute unary expreesion, input=-13128, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=27045","layer":0}],"base":4,"result_base":4,"text":"⨑⩽⪐(⪩⨒∯1320031⨜⨶⪩⨒∯311122⋳⪒⪩⨒∯2003011⨿⪩⨒∯311122)⊕∕(⪩⨒∯1011100⋥≓≎⪩⨒∯1020311⫦⪉⪩⨒∯200220⫗⊷⫓⪩⨒∯321320)=⪩⨒∯12212211","reverse_text":"⪩⨒∯12212211=⨑⩽⪐(⪩⨒∯1320031⨜⨶⪩⨒∯311122⋳⪒⪩⨒∯2003011⨿⪩⨒∯311122)⊕∕(⪩⨒∯1011100⋥≓≎⪩⨒∯1020311⫦⪉⪩⨒∯200220⫗⊷⫓⪩⨒∯321320)","cot":[{"info":"⪩⨒∯1320031⨜⨶⪩⨒∯311122=⪩⨒∯-1212310","layer":3},{"info":"⪩⨒∯2003011⨿⪩⨒∯311122=⪩⨒∯-10333","layer":3},{"info":"⪩⨒∯-1212310⋳⪒⪩⨒∯-10333=⪩⨒∯-3031020","layer":2},{"info":"⪩⨒∯1011100⋥≓≎⪩⨒∯1020311=⪩⨒∯1030323","layer":3},{"info":"⪩⨒∯200220⫗⊷⫓⪩⨒∯321320=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯1030323⫦⪉⪩⨒∯-2012=⪩⨒∯-1031102","layer":2},{"info":"⪩⨒∯-3031020⊕∕⪩⨒∯-1031102=⪩⨒∯-3031020","layer":1},{"info":"⨑⩽⪐⪩⨒∯-3031020=⪩⨒∯12212211","layer":0}]}
{"id":996,"expression_no_base_symbol":"⩒∊(⨈⫕(⇘$4387$)⫣⪄⊒($1378$≨$2958$))","expression":"⩒∊(⨈⫕(⇘⪩⨒∯1010203)⫣⪄⊒(⪩⨒∯111202≨⪩⨒∯232032))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9336,"operation_count":5,"complexity_ratio":1867.2,"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":4387,"base":4}},"right_expr":{"type":"binary","operator":"≨","left_expr":{"type":"numeric_atoms","value":1378,"base":4},"right_expr":{"type":"numeric_atoms","value":2958,"base":4}}}}},"used_operators":["qazvmhNBbN","megm06wKyl","RabNbG55vr","MGuIdZPyUC","0KMCeP1Jsh"],"dependent_operators":["AF7qkfDlqP","f6k1SAg4EE","eLAdDNolq6","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","eLxqMNBOBk","86A5ENbKR9","9HNa5Wba9A","E4l6HwMY31","40aOVDgCDB","bF6eod5Gvf","AFVx7xoS7T","f6k1SAg4EE","5twsqlHp2o","oacrs7FA3X","jfAgQ2OQeM","bPywburJMS","T2fj7uvVaJ","2td37pGCOC"],"result":"⪩⨒∯-110320","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4387","layer":4},{"info":"compute unary expreesion, input=4387, op_id = MGuIdZPyUC, unary_op_definition = '⇘a = { (⪸((⫓⪴a)→⨶⪴(a⪘⫢a))) , if (⫓⪴a)>35 ; (((a*a)⊢)⊔((a⊢a)⇌⫙⪟(193⪒a))) , else }', output=257602","layer":3},{"info":"number node, value=1378","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=2958, op_id = 0KMCeP1Jsh binary_op_definition= 'a≨b = { (⇤←((b⋓a)↼⊘⨖(⩦⩻⨪a))) }', output=-11304","layer":3},{"info":"compute binary expreesion, left_input=257602, right_input=-11304, 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 = 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 unary expreesion, input=-21, op_id = qazvmhNBbN, unary_op_definition = '⩒∊a = { ((≤/a)⪒(⨑⩽⪐a)) }', output=-1336","layer":0}],"base":4,"result_base":4,"text":"⩒∊(⨈⫕(⇘⪩⨒∯1010203)⫣⪄⊒(⪩⨒∯111202≨⪩⨒∯232032))=⪩⨒∯-110320","reverse_text":"⪩⨒∯-110320=⩒∊(⨈⫕(⇘⪩⨒∯1010203)⫣⪄⊒(⪩⨒∯111202≨⪩⨒∯232032))","cot":[{"info":"⇘⪩⨒∯1010203=⪩⨒∯332321002","layer":3},{"info":"⪩⨒∯111202≨⪩⨒∯232032=⪩⨒∯-2300220","layer":3},{"info":"⪩⨒∯332321002⫣⪄⊒⪩⨒∯-2300220=⪩⨒∯2200","layer":2},{"info":"⨈⫕⪩⨒∯2200=⪩⨒∯-111","layer":1},{"info":"⩒∊⪩⨒∯-111=⪩⨒∯-110320","layer":0}]}
{"id":997,"expression_no_base_symbol":"(($2938$⩺⪪$1488$)⫣⪄⊒($4450$⩍⋽⫝̸$3030$)⪮%⊝($5045$⫗⊷⫓$3406$⊝⪿⪼$2167$↹⊜$1442$))⋹⋡⊁((↣≠⋷$2828$)⊨$1727$∛$2769$⇼⇔∾$3595$⫒⫫$1361$+⇶⊼($2544$⊉≛↸$2468$))","expression":"((⪩⨒∯231322⩺⪪⪩⨒∯113100)⫣⪄⊒(⪩⨒∯1011202⩍⋽⫝̸⪩⨒∯233112)⪮%⊝(⪩⨒∯1032311⫗⊷⫓⪩⨒∯311032⊝⪿⪼⪩⨒∯201313↹⊜⪩⨒∯112202))⋹⋡⊁((↣≠⋷⪩⨒∯230030)⊨⪩⨒∯122333∛⪩⨒∯223101⇼⇔∾⪩⨒∯320023⫒⫫⪩⨒∯111101+⇶⊼(⪩⨒∯213300⊉≛↸⪩⨒∯212210))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":2646117,"operation_count":15,"complexity_ratio":176407.8,"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":2938,"base":4},"right_expr":{"type":"numeric_atoms","value":1488,"base":4}},"right_expr":{"type":"binary","operator":"⩍⋽⫝̸","left_expr":{"type":"numeric_atoms","value":4450,"base":4},"right_expr":{"type":"numeric_atoms","value":3030,"base":4}}},"right_expr":{"type":"binary","operator":"⊝⪿⪼","left_expr":{"type":"binary","operator":"⫗⊷⫓","left_expr":{"type":"numeric_atoms","value":5045,"base":4},"right_expr":{"type":"numeric_atoms","value":3406,"base":4}},"right_expr":{"type":"binary","operator":"↹⊜","left_expr":{"type":"numeric_atoms","value":2167,"base":4},"right_expr":{"type":"numeric_atoms","value":1442,"base":4}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊨","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2828,"base":4}},"right_expr":{"type":"binary","operator":"∛","left_expr":{"type":"numeric_atoms","value":1727,"base":4},"right_expr":{"type":"numeric_atoms","value":2769,"base":4}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫒⫫","left_expr":{"type":"numeric_atoms","value":3595,"base":4},"right_expr":{"type":"numeric_atoms","value":1361,"base":4}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2544,"base":4},"right_expr":{"type":"numeric_atoms","value":2468,"base":4}}}}},"used_operators":["As8RqfVLgs","IWmyXbctLI","RabNbG55vr","uvdQJvN4PV","BiWNJpBvwn","3Oe9XWJUTD","zashukvMKz","9bazX3JMtO","tifHPKVTfV","vg4gO5BX6G","Asc51vEJeQ","w2537kitQq","TpPTUOHfaN","6Ko8hGgeMq","DZ8iAZOCBD"],"dependent_operators":["ljTHtUsqzn","WkeUrDK8WX","fu6greOZ01","xRrnTEsQ6j","oPMjh9089D","ivGwdmUAux","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","NTOWxs364D","DbCuESL50I","fOIeswaMU4","g7Hmc5v1ko","KPf6cnQVty","j9kHMeSvPp","k8jYdgA6NY","2DDjHMKMc0","8WDwsbhb0R","cTDWOvIxvz","IWmyXbctLI","Tcnh7f0tEr","rysDP5nf3Z","RZ5CV9rWsJ","FyVja0WsTP","WYd1w68Nbz","HrjLwUk87U","Ph9nP6C5qx","xUOZtlo3hN","NTOWxs364D","Qy55tPpLXF","8w2t5hMYqp","t8gj7n24qd","eewbuw0ToL","QMFrweE19q","xD69zh8xqp","Uaa54Peajs","BjRHVeLaeN","QiR2Oyf5Xj","k1SHOSEABc","Asc51vEJeQ","oRDoc9rAEX","bJkvcejdHO","8INZBEW696","Af076pWI7l","9FxExcQeMw","rysDP5nf3Z","23Mk6UjR3U","tifHPKVTfV","eH2TOUuTDT","DIvbN7qnHd","rysDP5nf3Z","t8gj7n24qd","NTOWxs364D","JLbD19bQDL","xUOZtlo3hN","AF7qkfDlqP","XhwjNDsVaA","AHs5Up7iyr","DhbWaqg5eL","7IPrd9c3lf","XnXgA4xnOs","nREPSIbpBE","i8ToyICDmI","aBQ6xLxuTc","AHs5Up7iyr","jdwGQqwJi5","AHs5Up7iyr","AFVx7xoS7T","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"⪩⨒∯330102322","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2938","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=2938, right_input=1488, op_id = uvdQJvN4PV binary_op_definition= 'a⩺⪪b = { (((b-a)⊱⇼⊻(a⪚23))⩖⊿((612⋩≍≻)≣⋋)) }', output=-24098","layer":3},{"info":"number node, value=4450","layer":4},{"info":"number node, value=3030","layer":4},{"info":"compute binary expreesion, left_input=4450, right_input=3030, op_id = BiWNJpBvwn binary_op_definition= 'a⩍⋽⫝̸b = { ((⨞⊢508)≧⫂∧(a≧⫂∧b)) }', output=2084","layer":3},{"info":"compute binary expreesion, left_input=-24098, right_input=2084, op_id = RabNbG55vr binary_op_definition= 'a⫣⪄⊒b = { ((a⪮%⊝(153⪭a))%(⋼∭⪍(b⩚⊴⇥34))) , if b>769 ; ((∂⩏⊆(b⩟))∺≝⩲((b∝a)⋝⋈⪟(a⩌⋺b))) , else }', output=-7884","layer":2},{"info":"number node, value=5045","layer":4},{"info":"number node, value=3406","layer":4},{"info":"compute binary expreesion, left_input=5045, right_input=3406, 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=2167","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=1442, op_id = 9bazX3JMtO binary_op_definition= 'a↹⊜b = { (((a⊠≄⫣)⩷∴(b-a))⩷∴((a⋷b)⇼⇔∾(b⪐))) }', output=-1530","layer":3},{"info":"compute binary expreesion, left_input=-134, right_input=-1530, op_id = 3Oe9XWJUTD binary_op_definition= 'a⊝⪿⪼b = { ((⊄⩳↩(480⩚⊴⇥a))⫡⨏((a⨰b)⋥≓≎(-b))) }', output=11162","layer":2},{"info":"compute binary expreesion, left_input=-7884, right_input=11162, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-15452","layer":1},{"info":"number node, value=2828","layer":4},{"info":"compute unary expreesion, input=2828, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1727","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=2769, 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 = vg4gO5BX6G binary_op_definition= 'a⊨b = { (⨞⊢(b⪠⩆⊳)) , if a<=416 ; (⨑⩽⪐(a⩚⊴⇥a)) , else }', output=nan","layer":2},{"info":"number node, value=3595","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=3595, right_input=1361, op_id = 6Ko8hGgeMq binary_op_definition= 'a⫒⫫b = { (b≹⇙⪍a) , if (a∁)>135 ; (b⇌⫙⪟a) , else }', output=nan","layer":3},{"info":"number node, value=2544","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=2544, right_input=2468, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5088","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5088, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-15452, right_input=nan, op_id = As8RqfVLgs binary_op_definition= 'a⋹⋡⊁b = { ((a⨐⩸⫘247)⫁⪎(⩰b)) , if (⫵↿b)==517 or b>135 ; (⊀(≀↧⇸a)) , else }', output=246970","layer":0}],"base":4,"result_base":4,"text":"((⪩⨒∯231322⩺⪪⪩⨒∯113100)⫣⪄⊒(⪩⨒∯1011202⩍⋽⫝̸⪩⨒∯233112)⪮%⊝(⪩⨒∯1032311⫗⊷⫓⪩⨒∯311032⊝⪿⪼⪩⨒∯201313↹⊜⪩⨒∯112202))⋹⋡⊁((↣≠⋷⪩⨒∯230030)⊨⪩⨒∯122333∛⪩⨒∯223101⇼⇔∾⪩⨒∯320023⫒⫫⪩⨒∯111101+⇶⊼(⪩⨒∯213300⊉≛↸⪩⨒∯212210))=⪩⨒∯330102322","reverse_text":"⪩⨒∯330102322=((⪩⨒∯231322⩺⪪⪩⨒∯113100)⫣⪄⊒(⪩⨒∯1011202⩍⋽⫝̸⪩⨒∯233112)⪮%⊝(⪩⨒∯1032311⫗⊷⫓⪩⨒∯311032⊝⪿⪼⪩⨒∯201313↹⊜⪩⨒∯112202))⋹⋡⊁((↣≠⋷⪩⨒∯230030)⊨⪩⨒∯122333∛⪩⨒∯223101⇼⇔∾⪩⨒∯320023⫒⫫⪩⨒∯111101+⇶⊼(⪩⨒∯213300⊉≛↸⪩⨒∯212210))","cot":[{"info":"⪩⨒∯231322⩺⪪⪩⨒∯113100=⪩⨒∯-11320202","layer":3},{"info":"⪩⨒∯1011202⩍⋽⫝̸⪩⨒∯233112=⪩⨒∯200210","layer":3},{"info":"⪩⨒∯-11320202⫣⪄⊒⪩⨒∯200210=⪩⨒∯-1323030","layer":2},{"info":"⪩⨒∯1032311⫗⊷⫓⪩⨒∯311032=⪩⨒∯-2012","layer":3},{"info":"⪩⨒∯201313↹⊜⪩⨒∯112202=⪩⨒∯-113322","layer":3},{"info":"⪩⨒∯-2012⊝⪿⪼⪩⨒∯-113322=⪩⨒∯2232122","layer":2},{"info":"⪩⨒∯-1323030⪮%⊝⪩⨒∯2232122=⪩⨒∯-3301130","layer":1},{"info":"↣≠⋷⪩⨒∯230030=NaN","layer":3},{"info":"⪩⨒∯122333∛⪩⨒∯223101=⪩⨒∯-22132","layer":3},{"info":"NaN⊨⪩⨒∯-22132=NaN","layer":2},{"info":"⪩⨒∯320023⫒⫫⪩⨒∯111101=NaN","layer":3},{"info":"⪩⨒∯213300⊉≛↸⪩⨒∯212210=⪩⨒∯1033200","layer":3},{"info":"NaN+⇶⊼⪩⨒∯1033200=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"⪩⨒∯-3301130⋹⋡⊁NaN=⪩⨒∯330102322","layer":0}]}
{"id":998,"expression_no_base_symbol":"(($1887$⪥$4752$↰)⫔⩽⩺(∜⨇($3295$⪪$1782$)))≌((($1158$⊚⫡⫭)≬⇓(⪨⨬$2211$))⪟⇏(⨈⫕$1760$∌↝$1913$))","expression":"((⪩⨒∯131133⪥⪩⨒∯1022100↰)⫔⩽⩺(∜⨇(⪩⨒∯303133⪪⪩⨒∯123312)))≌(((⪩⨒∯102012⊚⫡⫭)≬⇓(⪨⨬⪩⨒∯202203))⪟⇏(⨈⫕⪩⨒∯123200∌↝⪩⨒∯131321))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":15084,"operation_count":12,"complexity_ratio":1257.0,"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":1887,"base":4},"right_expr":{"type":"numeric_atoms","value":4752,"base":4}}},"right_expr":{"type":"unary","operator":"∜⨇","unary_expr":{"type":"binary","operator":"⪪","left_expr":{"type":"numeric_atoms","value":3295,"base":4},"right_expr":{"type":"numeric_atoms","value":1782,"base":4}}}},"right_expr":{"type":"binary","operator":"⪟⇏","left_expr":{"type":"binary","operator":"≬⇓","left_expr":{"type":"unary","operator":"⊚⫡⫭","unary_expr":{"type":"numeric_atoms","value":1158,"base":4}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"numeric_atoms","value":2211,"base":4}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∌↝","left_expr":{"type":"numeric_atoms","value":1760,"base":4},"right_expr":{"type":"numeric_atoms","value":1913,"base":4}}}}},"used_operators":["lyWz822IDG","i9eR4S00cU","bl5wxAcryP","QbnwKVWMIQ","uFPyJr306J","xD69zh8xqp","GODebY97qR","jWTQ2TZYIH","SpZWOsLKZJ","5obUd6DV38","megm06wKyl","9Isq31Ruls"],"dependent_operators":["B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","Tw270M8GLb","fu6greOZ01","nCS4ZIUYfx","Z2TMIBDE3Q","WR6HLWljOP","nhYeJWJD5X","f6k1SAg4EE","jLgFTUHLKL","PPChnnnBFF","fG6uBQFnGz","pRsWfj4Fpp","rGHVDoGpnC","Y7wcNGrDQJ","NNaDxxp6OQ","FU0Cs4j7VP","JclMnS0uGI","gx7XJ7hdpj","XnXgA4xnOs","wEfv7U73WA","2DQ55sFlQl","f6k1SAg4EE","oacrs7FA3X","AdZkA7nFnk","zVYPLywUTj","XTarYq4gQB","P8v4zCKN1o","rysDP5nf3Z","e1ybzncUwg","N41Kp7NANJ","sdazOOVcIp","Ph9nP6C5qx","T2fj7uvVaJ","nlCqmYiOvY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DpFCA1CohY","NTOWxs364D","Qy55tPpLXF","23Mk6UjR3U","EBcxylXtPf","xUOZtlo3hN","t8gj7n24qd","2DDjHMKMc0","Ph9nP6C5qx","i8ToyICDmI"],"result":"⪩⨒∯2031320","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=1887","layer":4},{"info":"number node, value=4752","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=4752, op_id = QbnwKVWMIQ binary_op_definition= 'a⪥b = { (b∇⊂⋱(58∣a)) , if (b↢721)<125 ; (↩(508⪒a)) , else }', output=12200","layer":3},{"info":"compute unary expreesion, input=12200, op_id = bl5wxAcryP, unary_op_definition = 'a↰ = { ((a⨳⩥⨓101)⩤) }', output=12099","layer":2},{"info":"number node, value=3295","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=3295, right_input=1782, op_id = xD69zh8xqp binary_op_definition= 'a⪪b = { ((b⨔⇊a)↛⩡⫤) }', output=-493634","layer":3},{"info":"compute unary expreesion, input=-493634, 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=12099, right_input=nan, op_id = i9eR4S00cU binary_op_definition= 'a⫔⩽⩺b = { (⨰⫟⨤(a⨐⩸⫘b)) }', output=nan","layer":1},{"info":"number node, value=1158","layer":4},{"info":"compute unary expreesion, input=1158, op_id = SpZWOsLKZJ, unary_op_definition = 'a⊚⫡⫭ = { (((∥⊫a)≧⫂∧(≉a))⪨≂((177-a)≋⫹)) }', output=-1390","layer":3},{"info":"number node, value=2211","layer":4},{"info":"compute unary expreesion, input=2211, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=-526","layer":3},{"info":"compute binary expreesion, left_input=-1390, right_input=-526, op_id = jWTQ2TZYIH binary_op_definition= 'a≬⇓b = { (a⊪) , if a<=154 or (⪝⪂⫅a)>=41 ; (a⋅⇍b) , else }', output=19482662","layer":2},{"info":"number node, value=1760","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=1913, 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 = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=19482662, right_input=-21, 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=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":4,"result_base":4,"text":"((⪩⨒∯131133⪥⪩⨒∯1022100↰)⫔⩽⩺(∜⨇(⪩⨒∯303133⪪⪩⨒∯123312)))≌(((⪩⨒∯102012⊚⫡⫭)≬⇓(⪨⨬⪩⨒∯202203))⪟⇏(⨈⫕⪩⨒∯123200∌↝⪩⨒∯131321))=⪩⨒∯2031320","reverse_text":"⪩⨒∯2031320=((⪩⨒∯131133⪥⪩⨒∯1022100↰)⫔⩽⩺(∜⨇(⪩⨒∯303133⪪⪩⨒∯123312)))≌(((⪩⨒∯102012⊚⫡⫭)≬⇓(⪨⨬⪩⨒∯202203))⪟⇏(⨈⫕⪩⨒∯123200∌↝⪩⨒∯131321))","cot":[{"info":"⪩⨒∯131133⪥⪩⨒∯1022100=⪩⨒∯2332220","layer":3},{"info":"⪩⨒∯2332220↰=⪩⨒∯2331003","layer":2},{"info":"⪩⨒∯303133⪪⪩⨒∯123312=⪩⨒∯-1320201002","layer":3},{"info":"∜⨇⪩⨒∯-1320201002=NaN","layer":2},{"info":"⪩⨒∯2331003⫔⩽⩺NaN=NaN","layer":1},{"info":"⪩⨒∯102012⊚⫡⫭=⪩⨒∯-111232","layer":3},{"info":"⪨⨬⪩⨒∯202203=⪩⨒∯-20032","layer":3},{"info":"⪩⨒∯-111232≬⇓⪩⨒∯-20032=⪩⨒∯1022110200212","layer":2},{"info":"⪩⨒∯123200∌↝⪩⨒∯131321=⪩⨒∯0","layer":3},{"info":"⨈⫕⪩⨒∯0=⪩⨒∯-111","layer":2},{"info":"⪩⨒∯1022110200212⪟⇏⪩⨒∯-111=⪩⨒∯0","layer":1},{"info":"NaN≌⪩⨒∯0=⪩⨒∯2031320","layer":0}]}
{"id":999,"expression_no_base_symbol":"(∐⩳⋚(⋗⩬⋾(↓⇌$4825$)))≳⇉(($1324$⫌⩉⩟$4701$)⨽($2368$⋻⩜⩜$7171$)⫡⨏(≪$3345$)≌($4048$⪒$3400$))","expression":"(∐⩳⋚(⋗⩬⋾(↓⇌⪩⨒∯1023121)))≳⇉((⪩⨒∯110230⫌⩉⩟⪩⨒∯1021131)⨽(⪩⨒∯211000⋻⩜⩜⪩⨒∯1300003)⫡⨏(≪⪩⨒∯310101)≌(⪩⨒∯333100⪒⪩⨒∯311020))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":134968,"operation_count":11,"complexity_ratio":12269.818181818182,"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":4825,"base":4}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":1324,"base":4},"right_expr":{"type":"numeric_atoms","value":4701,"base":4}},"right_expr":{"type":"binary","operator":"⋻⩜⩜","left_expr":{"type":"numeric_atoms","value":2368,"base":4},"right_expr":{"type":"numeric_atoms","value":7171,"base":4}}},"right_expr":{"type":"binary","operator":"≌","left_expr":{"type":"unary","operator":"≪","unary_expr":{"type":"numeric_atoms","value":3345,"base":4}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4048,"base":4},"right_expr":{"type":"numeric_atoms","value":3400,"base":4}}}}},"used_operators":["V0kx6qeWkN","SL6IHkK8vl","DpFCA1CohY","PxpmPgHHJV","QMFrweE19q","8HhzD0ZcuI","XIIwhv8d0m","oDCm7WA9JY","lyWz822IDG","Qtd6bqUJcN","f6k1SAg4EE"],"dependent_operators":["KbjG8mgYpV","48vC8HMD2b","fu6greOZ01","I7sXao9hZE","D3AQDKkPcf","KipPnG1M2J","9Isq31Ruls","s3Fd5m9Dh2","zR4jO40bMj","18saOjeKKm","k7HXdKtiEU","z4E1FaHLuy","XTarYq4gQB","xRrnTEsQ6j","Ph9nP6C5qx","f6k1SAg4EE","D3AQDKkPcf","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","23Mk6UjR3U","glklzrTFfD","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","mp7IySMOzn","4X4GscPmMf","nREPSIbpBE","B5M0gjZbta","W7eaUhjymW","CpSg5vQTgA","w2P8NbNXyL","0kmYd0q39Y","3sJ7IOPOlU","Bmrmz2XGnR","WkeUrDK8WX","03sUfWo75k","5twsqlHp2o","oacrs7FA3X","aMUSaJuDRU","3nqY3DE9mg","09Ly4LVMIf","wEfv7U73WA","tifHPKVTfV","ruOEQAzv1W","iuk5sVOGFA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=4825","layer":4},{"info":"compute unary expreesion, input=4825, op_id = PxpmPgHHJV, unary_op_definition = '↓⇌a = { (a⋷507) , if a>=68 and (a⩤)>=87 ; (a⨁⊸⫻) , else }', output=4825","layer":3},{"info":"compute unary expreesion, input=4825, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14475","layer":2},{"info":"compute unary expreesion, input=-14475, op_id = SL6IHkK8vl, unary_op_definition = '∐⩳⋚a = { (⊲⪭((⇠a)⪶≀⋏(a⪒a))) , if (⫟a)==290 ; ((⪝⪂⫅(105⫁⪎a))⊬⨰(a≧⫂∧(a∷a))) , else }', output=-4233688","layer":1},{"info":"number node, value=1324","layer":4},{"info":"number node, value=4701","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=4701, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"number node, value=2368","layer":4},{"info":"number node, value=7171","layer":4},{"info":"compute binary expreesion, left_input=2368, right_input=7171, op_id = oDCm7WA9JY binary_op_definition= 'a⋻⩜⩜b = { (495⨚a) , if (a⨕⋳)!=7 and b>=394 and a<693 ; (b⇷a) , else }', output=4736","layer":3},{"info":"compute binary expreesion, left_input=-50, right_input=4736, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-20394","layer":2},{"info":"number node, value=3345","layer":4},{"info":"compute unary expreesion, input=3345, 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=4048","layer":4},{"info":"number node, value=3400","layer":4},{"info":"compute binary expreesion, left_input=4048, right_input=3400, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7448","layer":3},{"info":"compute binary expreesion, left_input=913, right_input=-7448, 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=-20394, 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=-4233688, 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":0}],"base":4,"result_base":4,"text":"(∐⩳⋚(⋗⩬⋾(↓⇌⪩⨒∯1023121)))≳⇉((⪩⨒∯110230⫌⩉⩟⪩⨒∯1021131)⨽(⪩⨒∯211000⋻⩜⩜⪩⨒∯1300003)⫡⨏(≪⪩⨒∯310101)≌(⪩⨒∯333100⪒⪩⨒∯311020))=NaN","reverse_text":"NaN=(∐⩳⋚(⋗⩬⋾(↓⇌⪩⨒∯1023121)))≳⇉((⪩⨒∯110230⫌⩉⩟⪩⨒∯1021131)⨽(⪩⨒∯211000⋻⩜⩜⪩⨒∯1300003)⫡⨏(≪⪩⨒∯310101)≌(⪩⨒∯333100⪒⪩⨒∯311020))","cot":[{"info":"↓⇌⪩⨒∯1023121=⪩⨒∯1023121","layer":3},{"info":"⋗⩬⋾⪩⨒∯1023121=⪩⨒∯-3202023","layer":2},{"info":"∐⩳⋚⪩⨒∯-3202023=⪩⨒∯-100021213120","layer":1},{"info":"⪩⨒∯110230⫌⩉⩟⪩⨒∯1021131=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯211000⋻⩜⩜⪩⨒∯1300003=⪩⨒∯1022000","layer":3},{"info":"⪩⨒∯-302⨽⪩⨒∯1022000=⪩⨒∯-10332222","layer":2},{"info":"≪⪩⨒∯310101=⪩⨒∯32101","layer":3},{"info":"⪩⨒∯333100⪒⪩⨒∯311020=⪩⨒∯-1310120","layer":3},{"info":"⪩⨒∯32101≌⪩⨒∯-1310120=NaN","layer":2},{"info":"⪩⨒∯-10332222⫡⨏NaN=NaN","layer":1},{"info":"⪩⨒∯-100021213120≳⇉NaN=NaN","layer":0}]}
{"id":1000,"expression_no_base_symbol":"((⪓⩚$2952$)⨚($3581$⫌⩉⩟$6816$))≎⪠(($5432$⋐⇩⊬)⨥⫆($1645$⫍⨯↯))∥⊢⊲(⪨⨬($1394$∥⊢⊲$5760$⫡⨏$5419$∼$1835$))","expression":"((⪓⩚⪩⨒∯232020)⨚(⪩⨒∯313331⫌⩉⩟⪩⨒∯1222200))≎⪠((⪩⨒∯1110320⋐⇩⊬)⨥⫆(⪩⨒∯121231⫍⨯↯))∥⊢⊲(⪨⨬(⪩⨒∯111302∥⊢⊲⪩⨒∯1122000⫡⨏⪩⨒∯1110223∼⪩⨒∯130223))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":71034,"operation_count":12,"complexity_ratio":5919.5,"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":2952,"base":4}},"right_expr":{"type":"binary","operator":"⫌⩉⩟","left_expr":{"type":"numeric_atoms","value":3581,"base":4},"right_expr":{"type":"numeric_atoms","value":6816,"base":4}}},"right_expr":{"type":"binary","operator":"⨥⫆","left_expr":{"type":"unary","operator":"⋐⇩⊬","unary_expr":{"type":"numeric_atoms","value":5432,"base":4}},"right_expr":{"type":"unary","operator":"⫍⨯↯","unary_expr":{"type":"numeric_atoms","value":1645,"base":4}}}},"right_expr":{"type":"unary","operator":"⪨⨬","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∥⊢⊲","left_expr":{"type":"numeric_atoms","value":1394,"base":4},"right_expr":{"type":"numeric_atoms","value":5760,"base":4}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5419,"base":4},"right_expr":{"type":"numeric_atoms","value":1835,"base":4}}}}},"used_operators":["v1UQAVDJRr","aNhz54LH3e","nREPSIbpBE","u0R0Locfp2","XIIwhv8d0m","yXekIHxTD4","JuuLT1NoCs","ZcwmYACASQ","5obUd6DV38","QMFrweE19q","DyGG3AbaNP"],"dependent_operators":["EBcxylXtPf","rGHVDoGpnC","bl5wxAcryP","RygbFNSyEJ","SLLxy00UIr","AcOhelriW5","ctOc4cKSDt","cHh1gJQ2o6","KYD54nUTWz","kbkesczE7y","BUOGQAYlQx","PPChnnnBFF","BjRHVeLaeN","12rbrZMWeM","6o9Blt3TJ6","mp7IySMOzn","Nsiff2A1zJ","B5M0gjZbta","UMwdvZNt44","MRPaB8lBjK","vkpjKywKVM","eRqsBgTDFp","ancx8kZcWl","oacrs7FA3X","mp7IySMOzn","JclMnS0uGI","ddLRYrp01A","23Mk6UjR3U","2DDjHMKMc0","Qy55tPpLXF","T2fj7uvVaJ","nlCqmYiOvY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":4,"flag":true},"cot_info":[{"info":"number node, value=2952","layer":4},{"info":"compute unary expreesion, input=2952, op_id = u0R0Locfp2, unary_op_definition = '⪓⩚a = { (a⫰⋱a) , if (a⊴910)>461 ; (240⇷213) , else }', output=426","layer":3},{"info":"number node, value=3581","layer":4},{"info":"number node, value=6816","layer":4},{"info":"compute binary expreesion, left_input=3581, right_input=6816, op_id = XIIwhv8d0m binary_op_definition= 'a⫌⩉⩟b = { (((a↬179)⇮⋭(b⇡⇂b))⇉⇱⇎) }', output=-50","layer":3},{"info":"compute binary expreesion, left_input=426, right_input=-50, op_id = nREPSIbpBE binary_op_definition= 'a⨚b = { (((b⋳⪒a)⋳⪒31)⫩⊇) }', output=1986","layer":2},{"info":"number node, value=5432","layer":4},{"info":"compute unary expreesion, input=5432, op_id = JuuLT1NoCs, unary_op_definition = 'a⋐⇩⊬ = { (a⨔⇊a) , if (a∊∟⩊189)<=582 ; (a⇷a) , else }', output=5432","layer":3},{"info":"number node, value=1645","layer":4},{"info":"compute unary expreesion, input=1645, op_id = ZcwmYACASQ, unary_op_definition = 'a⫍⨯↯ = { ((a⋥≓≎a)⋷(a⋝⋈⪟337)) }', output=1612","layer":3},{"info":"compute binary expreesion, left_input=5432, right_input=1612, op_id = yXekIHxTD4 binary_op_definition= 'a⨥⫆b = { (b⨝⩣∺) , if (a⪒⊣⊆344)<109 ; (b⪘⫢a) , else }', output=3100","layer":2},{"info":"compute binary expreesion, left_input=1986, right_input=3100, 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=1394","layer":4},{"info":"number node, value=5760","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=5760, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":3},{"info":"number node, value=5419","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=5419, right_input=1835, 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 = 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 unary expreesion, input=nan, op_id = 5obUd6DV38, unary_op_definition = '⪨⨬a = { ((a⋓a)⨽⪊≇) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=19558, right_input=nan, op_id = v1UQAVDJRr binary_op_definition= 'a∥⊢⊲b = { (a⨟⋌⩍b) , if (a⫌⩹⨱)>=49 ; b , else }', output=nan","layer":0}],"base":4,"result_base":4,"text":"((⪓⩚⪩⨒∯232020)⨚(⪩⨒∯313331⫌⩉⩟⪩⨒∯1222200))≎⪠((⪩⨒∯1110320⋐⇩⊬)⨥⫆(⪩⨒∯121231⫍⨯↯))∥⊢⊲(⪨⨬(⪩⨒∯111302∥⊢⊲⪩⨒∯1122000⫡⨏⪩⨒∯1110223∼⪩⨒∯130223))=NaN","reverse_text":"NaN=((⪓⩚⪩⨒∯232020)⨚(⪩⨒∯313331⫌⩉⩟⪩⨒∯1222200))≎⪠((⪩⨒∯1110320⋐⇩⊬)⨥⫆(⪩⨒∯121231⫍⨯↯))∥⊢⊲(⪨⨬(⪩⨒∯111302∥⊢⊲⪩⨒∯1122000⫡⨏⪩⨒∯1110223∼⪩⨒∯130223))","cot":[{"info":"⪓⩚⪩⨒∯232020=⪩⨒∯12222","layer":3},{"info":"⪩⨒∯313331⫌⩉⩟⪩⨒∯1222200=⪩⨒∯-302","layer":3},{"info":"⪩⨒∯12222⨚⪩⨒∯-302=⪩⨒∯133002","layer":2},{"info":"⪩⨒∯1110320⋐⇩⊬=⪩⨒∯1110320","layer":3},{"info":"⪩⨒∯121231⫍⨯↯=⪩⨒∯121030","layer":3},{"info":"⪩⨒∯1110320⨥⫆⪩⨒∯121030=⪩⨒∯300130","layer":2},{"info":"⪩⨒∯133002≎⪠⪩⨒∯300130=⪩⨒∯10301212","layer":1},{"info":"⪩⨒∯111302∥⊢⊲⪩⨒∯1122000=NaN","layer":3},{"info":"⪩⨒∯1110223∼⪩⨒∯130223=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"⪨⨬NaN=NaN","layer":1},{"info":"⪩⨒∯10301212∥⊢⊲NaN=NaN","layer":0}]}